SNARK---20120808r022.THM-Ref.s

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYO525+1.015 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% 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 19:43:44 EDT 2022

% Result   : Theorem 126.81s 127.02s
% Output   : Refutation 132.77s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    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/benchmark/theBenchmark.p',start) ).

cnf(2,axiom,
    ( ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
    | goal ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qed15) ).

cnf(3,axiom,
    ( ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3,V3,W3,X4,Y4,n0)
    | bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3,V3,W3,X4,Y4,n1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27) ).

cnf(4,axiom,
    ( ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3,V3,W3,X4,n0,n1)
    | bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3,V3,W3,X4,n1,n0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p26) ).

cnf(5,axiom,
    ( ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3,V3,W3,n0,n1,n1)
    | bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3,V3,W3,n1,n0,n0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25) ).

cnf(6,axiom,
    ( ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3,V3,n0,n1,n1,n1)
    | bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3,V3,n1,n0,n0,n0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24) ).

cnf(7,axiom,
    ( ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3,n0,n1,n1,n1,n1)
    | bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3,n1,n0,n0,n0,n0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23) ).

cnf(8,axiom,
    ( ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,n0,n1,n1,n1,n1,n1)
    | bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,n1,n0,n0,n0,n0,n0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22) ).

cnf(9,axiom,
    ( ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,n0,n1,n1,n1,n1,n1,n1)
    | bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,n1,n0,n0,n0,n0,n0,n0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21) ).

cnf(10,axiom,
    ( ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,n0,n1,n1,n1,n1,n1,n1,n1)
    | bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,n1,n0,n0,n0,n0,n0,n0,n0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20) ).

cnf(11,axiom,
    ( ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,n0,n1,n1,n1,n1,n1,n1,n1,n1)
    | bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19) ).

cnf(12,axiom,
    ( ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1)
    | bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18) ).

cnf(13,axiom,
    ( ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
    | bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17) ).

cnf(14,axiom,
    ( ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
    | bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16) ).

cnf(15,axiom,
    ( ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
    | bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15) ).

cnf(16,axiom,
    ( ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
    | bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14) ).

cnf(17,axiom,
    ( ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
    | bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p13) ).

cnf(30,negated_conjecture,
    ~ goal,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_to_be_proved) ).

cnf(31,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('REWRITE',[status(thm)],[2,30]) ).

cnf(32,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,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1]) ).

cnf(33,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31]) ).

cnf(34,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,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32]) ).

cnf(35,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,33]) ).

cnf(36,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,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,34]) ).

cnf(37,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,35]) ).

cnf(38,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,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,36]) ).

cnf(39,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,37]) ).

cnf(40,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,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,38]) ).

cnf(41,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,39]) ).

cnf(42,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,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,40]) ).

cnf(43,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,41]) ).

cnf(44,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,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,42]) ).

cnf(45,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,43]) ).

cnf(46,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,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,44]) ).

cnf(47,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,45]) ).

cnf(48,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,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,46]) ).

cnf(49,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,47]) ).

cnf(50,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,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,48]) ).

cnf(51,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,49]) ).

cnf(52,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,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,50]) ).

cnf(53,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,51]) ).

cnf(54,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,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,52]) ).

cnf(55,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,53]) ).

cnf(56,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,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,54]) ).

cnf(57,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,55]) ).

cnf(58,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,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,56]) ).

cnf(59,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,57]) ).

cnf(60,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,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,58]) ).

cnf(61,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,59]) ).

cnf(62,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,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,60]) ).

cnf(63,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,61]) ).

cnf(64,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,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,62]) ).

cnf(65,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,63]) ).

cnf(66,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,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,64]) ).

cnf(67,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,65]) ).

cnf(68,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,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,66]) ).

cnf(69,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,67]) ).

cnf(70,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,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,68]) ).

cnf(71,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,69]) ).

cnf(72,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,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,70]) ).

cnf(73,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,71]) ).

cnf(74,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,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,72]) ).

cnf(75,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,73]) ).

cnf(76,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,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,74]) ).

cnf(77,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,75]) ).

cnf(78,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,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,76]) ).

cnf(79,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,77]) ).

cnf(80,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,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,78]) ).

cnf(81,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,79]) ).

cnf(82,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,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,80]) ).

cnf(83,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,81]) ).

cnf(84,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,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,82]) ).

cnf(85,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,83]) ).

cnf(86,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,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,84]) ).

cnf(87,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,85]) ).

cnf(88,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,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,86]) ).

cnf(89,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,87]) ).

cnf(90,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,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,88]) ).

cnf(91,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,89]) ).

cnf(92,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,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,90]) ).

cnf(93,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,91]) ).

cnf(94,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,92]) ).

cnf(95,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,93]) ).

cnf(96,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,94]) ).

cnf(97,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,95]) ).

cnf(98,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,96]) ).

cnf(99,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,97]) ).

cnf(100,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,98]) ).

cnf(101,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,99]) ).

cnf(102,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,100]) ).

cnf(103,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,101]) ).

cnf(104,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,102]) ).

cnf(105,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,103]) ).

cnf(106,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,104]) ).

cnf(107,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,105]) ).

cnf(108,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,106]) ).

cnf(109,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,107]) ).

cnf(110,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,108]) ).

cnf(111,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,109]) ).

cnf(112,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,110]) ).

cnf(113,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,111]) ).

cnf(114,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,112]) ).

cnf(115,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,113]) ).

cnf(116,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,114]) ).

cnf(117,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,115]) ).

cnf(118,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,116]) ).

cnf(119,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,117]) ).

cnf(120,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,118]) ).

cnf(121,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,119]) ).

cnf(122,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,120]) ).

cnf(123,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,121]) ).

cnf(124,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,122]) ).

cnf(125,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,123]) ).

cnf(126,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,124]) ).

cnf(127,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,125]) ).

cnf(128,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,126]) ).

cnf(129,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,127]) ).

cnf(130,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,128]) ).

cnf(131,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,129]) ).

cnf(132,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,130]) ).

cnf(133,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,131]) ).

cnf(134,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,132]) ).

cnf(135,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,133]) ).

cnf(136,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,134]) ).

cnf(137,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,135]) ).

cnf(138,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,136]) ).

cnf(139,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,137]) ).

cnf(140,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,138]) ).

cnf(141,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,139]) ).

cnf(142,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,140]) ).

cnf(143,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,141]) ).

cnf(144,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,142]) ).

cnf(145,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,143]) ).

cnf(146,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,144]) ).

cnf(147,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,145]) ).

cnf(148,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,146]) ).

cnf(149,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,147]) ).

cnf(150,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,148]) ).

cnf(151,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,149]) ).

cnf(152,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,150]) ).

cnf(153,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,151]) ).

cnf(154,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,152]) ).

cnf(155,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,153]) ).

cnf(156,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,154]) ).

cnf(157,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,155]) ).

cnf(158,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,156]) ).

cnf(159,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,157]) ).

cnf(160,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,158]) ).

cnf(161,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,159]) ).

cnf(162,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,160]) ).

cnf(163,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,161]) ).

cnf(164,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,162]) ).

cnf(165,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,163]) ).

cnf(166,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,164]) ).

cnf(167,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,165]) ).

cnf(168,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,166]) ).

cnf(169,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,167]) ).

cnf(170,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,168]) ).

cnf(171,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,169]) ).

cnf(172,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,170]) ).

cnf(173,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,171]) ).

cnf(174,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,172]) ).

cnf(175,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,173]) ).

cnf(176,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,174]) ).

cnf(177,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,175]) ).

cnf(178,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,176]) ).

cnf(179,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,177]) ).

cnf(180,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,178]) ).

cnf(181,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,179]) ).

cnf(182,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,180]) ).

cnf(183,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,181]) ).

cnf(184,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,182]) ).

cnf(185,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,183]) ).

cnf(186,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,184]) ).

cnf(187,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,185]) ).

cnf(188,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,186]) ).

cnf(189,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,187]) ).

cnf(190,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,188]) ).

cnf(191,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,189]) ).

cnf(192,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,190]) ).

cnf(193,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,191]) ).

cnf(194,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,192]) ).

cnf(195,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,193]) ).

cnf(196,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,194]) ).

cnf(197,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,195]) ).

cnf(198,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,196]) ).

cnf(199,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,197]) ).

cnf(200,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,198]) ).

cnf(201,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,199]) ).

cnf(202,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,200]) ).

cnf(203,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,201]) ).

cnf(204,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,202]) ).

cnf(205,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,203]) ).

cnf(206,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,204]) ).

cnf(207,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,205]) ).

cnf(208,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,206]) ).

cnf(209,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,207]) ).

cnf(210,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,208]) ).

cnf(211,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,209]) ).

cnf(212,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,210]) ).

cnf(213,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,211]) ).

cnf(214,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,212]) ).

cnf(215,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,213]) ).

cnf(216,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,214]) ).

cnf(217,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,215]) ).

cnf(218,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,216]) ).

cnf(219,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,217]) ).

cnf(220,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,218]) ).

cnf(221,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,219]) ).

cnf(222,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,220]) ).

cnf(223,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,221]) ).

cnf(224,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,222]) ).

cnf(225,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,223]) ).

cnf(226,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,224]) ).

cnf(227,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,225]) ).

cnf(228,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,226]) ).

cnf(229,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,227]) ).

cnf(230,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,228]) ).

cnf(231,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,229]) ).

cnf(232,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,230]) ).

cnf(233,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,231]) ).

cnf(234,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,232]) ).

cnf(235,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,233]) ).

cnf(236,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,234]) ).

cnf(237,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,235]) ).

cnf(238,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,236]) ).

cnf(239,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,237]) ).

cnf(240,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,238]) ).

cnf(241,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,239]) ).

cnf(242,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,240]) ).

cnf(243,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,241]) ).

cnf(244,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,242]) ).

cnf(245,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,243]) ).

cnf(246,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,244]) ).

cnf(247,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,245]) ).

cnf(248,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,246]) ).

cnf(249,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,247]) ).

cnf(250,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,248]) ).

cnf(251,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,249]) ).

cnf(252,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,250]) ).

cnf(253,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,251]) ).

cnf(254,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,252]) ).

cnf(255,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,253]) ).

cnf(256,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,254]) ).

cnf(257,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,255]) ).

cnf(258,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,256]) ).

cnf(259,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,257]) ).

cnf(260,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,258]) ).

cnf(261,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,259]) ).

cnf(262,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,260]) ).

cnf(263,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,261]) ).

cnf(264,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,262]) ).

cnf(265,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,263]) ).

cnf(266,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,264]) ).

cnf(267,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,265]) ).

cnf(268,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,266]) ).

cnf(269,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,267]) ).

cnf(270,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,268]) ).

cnf(271,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,269]) ).

cnf(272,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,270]) ).

cnf(273,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,271]) ).

cnf(274,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,272]) ).

cnf(275,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,273]) ).

cnf(276,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,274]) ).

cnf(277,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,275]) ).

cnf(278,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,276]) ).

cnf(279,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,277]) ).

cnf(280,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,278]) ).

cnf(281,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,279]) ).

cnf(282,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,280]) ).

cnf(283,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,281]) ).

cnf(284,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,282]) ).

cnf(285,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,283]) ).

cnf(286,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,284]) ).

cnf(287,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,285]) ).

cnf(288,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,286]) ).

cnf(289,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,287]) ).

cnf(290,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,288]) ).

cnf(291,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,289]) ).

cnf(292,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,290]) ).

cnf(293,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,291]) ).

cnf(294,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,292]) ).

cnf(295,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,293]) ).

cnf(296,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,294]) ).

cnf(297,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,295]) ).

cnf(298,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,296]) ).

cnf(299,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,297]) ).

cnf(300,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,298]) ).

cnf(301,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,299]) ).

cnf(302,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,300]) ).

cnf(303,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,301]) ).

cnf(304,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,302]) ).

cnf(305,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,303]) ).

cnf(306,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,304]) ).

cnf(307,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,305]) ).

cnf(308,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,306]) ).

cnf(309,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,307]) ).

cnf(310,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,308]) ).

cnf(311,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,309]) ).

cnf(312,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,310]) ).

cnf(313,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,311]) ).

cnf(314,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,312]) ).

cnf(315,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,313]) ).

cnf(316,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,314]) ).

cnf(317,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,315]) ).

cnf(318,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,316]) ).

cnf(319,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,317]) ).

cnf(320,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,318]) ).

cnf(321,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,319]) ).

cnf(322,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,320]) ).

cnf(323,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,321]) ).

cnf(324,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,322]) ).

cnf(325,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,323]) ).

cnf(326,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,324]) ).

cnf(327,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,325]) ).

cnf(328,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,326]) ).

cnf(329,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,327]) ).

cnf(330,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,328]) ).

cnf(331,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,329]) ).

cnf(332,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,330]) ).

cnf(333,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,331]) ).

cnf(334,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,332]) ).

cnf(335,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,333]) ).

cnf(336,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,334]) ).

cnf(337,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,335]) ).

cnf(338,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,336]) ).

cnf(339,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,337]) ).

cnf(340,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,338]) ).

cnf(341,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,339]) ).

cnf(342,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,340]) ).

cnf(343,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,341]) ).

cnf(344,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,342]) ).

cnf(345,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,343]) ).

cnf(346,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,344]) ).

cnf(347,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,345]) ).

cnf(348,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,346]) ).

cnf(349,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,347]) ).

cnf(350,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,348]) ).

cnf(351,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,349]) ).

cnf(352,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,350]) ).

cnf(353,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,351]) ).

cnf(354,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,352]) ).

cnf(355,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,353]) ).

cnf(356,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,354]) ).

cnf(357,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,355]) ).

cnf(358,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,356]) ).

cnf(359,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,357]) ).

cnf(360,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,358]) ).

cnf(361,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,359]) ).

cnf(362,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,360]) ).

cnf(363,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,361]) ).

cnf(364,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,362]) ).

cnf(365,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,363]) ).

cnf(366,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,364]) ).

cnf(367,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,365]) ).

cnf(368,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,366]) ).

cnf(369,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,367]) ).

cnf(370,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,368]) ).

cnf(371,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,369]) ).

cnf(372,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,370]) ).

cnf(373,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,371]) ).

cnf(374,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,372]) ).

cnf(375,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,373]) ).

cnf(376,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,374]) ).

cnf(377,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,375]) ).

cnf(378,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,376]) ).

cnf(379,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,377]) ).

cnf(380,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,378]) ).

cnf(381,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,379]) ).

cnf(382,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,380]) ).

cnf(383,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,381]) ).

cnf(384,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,382]) ).

cnf(385,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,383]) ).

cnf(386,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,384]) ).

cnf(387,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,385]) ).

cnf(388,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,386]) ).

cnf(389,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,387]) ).

cnf(390,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,388]) ).

cnf(391,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,389]) ).

cnf(392,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,390]) ).

cnf(393,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,391]) ).

cnf(394,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,392]) ).

cnf(395,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,393]) ).

cnf(396,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,394]) ).

cnf(397,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,395]) ).

cnf(398,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,396]) ).

cnf(399,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,397]) ).

cnf(400,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,398]) ).

cnf(401,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,399]) ).

cnf(402,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,400]) ).

cnf(403,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,401]) ).

cnf(404,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,402]) ).

cnf(405,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,403]) ).

cnf(406,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,404]) ).

cnf(407,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,405]) ).

cnf(408,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,406]) ).

cnf(409,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,407]) ).

cnf(410,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,408]) ).

cnf(411,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,409]) ).

cnf(412,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,410]) ).

cnf(413,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,411]) ).

cnf(414,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,412]) ).

cnf(415,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,413]) ).

cnf(416,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,414]) ).

cnf(417,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,415]) ).

cnf(418,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,416]) ).

cnf(419,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,417]) ).

cnf(420,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,418]) ).

cnf(421,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,419]) ).

cnf(422,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,420]) ).

cnf(423,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,421]) ).

cnf(424,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,422]) ).

cnf(425,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,423]) ).

cnf(426,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,424]) ).

cnf(427,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,425]) ).

cnf(428,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,426]) ).

cnf(429,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,427]) ).

cnf(430,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,428]) ).

cnf(431,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,429]) ).

cnf(432,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,430]) ).

cnf(433,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,431]) ).

cnf(434,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,432]) ).

cnf(435,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,433]) ).

cnf(436,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,434]) ).

cnf(437,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,435]) ).

cnf(438,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,436]) ).

cnf(439,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,437]) ).

cnf(440,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,438]) ).

cnf(441,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,439]) ).

cnf(442,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,440]) ).

cnf(443,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,441]) ).

cnf(444,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,442]) ).

cnf(445,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,443]) ).

cnf(446,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,444]) ).

cnf(447,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,445]) ).

cnf(448,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,446]) ).

cnf(449,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,447]) ).

cnf(450,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,448]) ).

cnf(451,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,449]) ).

cnf(452,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,450]) ).

cnf(453,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,451]) ).

cnf(454,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,452]) ).

cnf(455,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,453]) ).

cnf(456,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,454]) ).

cnf(457,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,455]) ).

cnf(458,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,456]) ).

cnf(459,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,457]) ).

cnf(460,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,458]) ).

cnf(461,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,459]) ).

cnf(462,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,460]) ).

cnf(463,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,461]) ).

cnf(464,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,462]) ).

cnf(465,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,463]) ).

cnf(466,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,464]) ).

cnf(467,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,465]) ).

cnf(468,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,466]) ).

cnf(469,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,467]) ).

cnf(470,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,468]) ).

cnf(471,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,469]) ).

cnf(472,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,470]) ).

cnf(473,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,471]) ).

cnf(474,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,472]) ).

cnf(475,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,473]) ).

cnf(476,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,474]) ).

cnf(477,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,475]) ).

cnf(478,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,476]) ).

cnf(479,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,477]) ).

cnf(480,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,478]) ).

cnf(481,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,479]) ).

cnf(482,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,480]) ).

cnf(483,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,481]) ).

cnf(484,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,482]) ).

cnf(485,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,483]) ).

cnf(486,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,484]) ).

cnf(487,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,485]) ).

cnf(488,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,486]) ).

cnf(489,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,487]) ).

cnf(490,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,488]) ).

cnf(491,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,489]) ).

cnf(492,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,490]) ).

cnf(493,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,491]) ).

cnf(494,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,492]) ).

cnf(495,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,493]) ).

cnf(496,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,494]) ).

cnf(497,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,495]) ).

cnf(498,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,496]) ).

cnf(499,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,497]) ).

cnf(500,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,498]) ).

cnf(501,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,499]) ).

cnf(502,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,500]) ).

cnf(503,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,501]) ).

cnf(504,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,502]) ).

cnf(505,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,503]) ).

cnf(506,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,504]) ).

cnf(507,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,505]) ).

cnf(508,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,506]) ).

cnf(509,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,507]) ).

cnf(510,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,508]) ).

cnf(511,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,509]) ).

cnf(512,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,510]) ).

cnf(513,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,511]) ).

cnf(514,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,512]) ).

cnf(515,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,513]) ).

cnf(516,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,514]) ).

cnf(517,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,515]) ).

cnf(518,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,516]) ).

cnf(519,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,517]) ).

cnf(520,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,518]) ).

cnf(521,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,519]) ).

cnf(522,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,520]) ).

cnf(523,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,521]) ).

cnf(524,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,522]) ).

cnf(525,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,523]) ).

cnf(526,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,524]) ).

cnf(527,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,525]) ).

cnf(528,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,526]) ).

cnf(529,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,527]) ).

cnf(530,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,528]) ).

cnf(531,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,529]) ).

cnf(532,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,530]) ).

cnf(533,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,531]) ).

cnf(534,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,532]) ).

cnf(535,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,533]) ).

cnf(536,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,534]) ).

cnf(537,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,535]) ).

cnf(538,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,536]) ).

cnf(539,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,537]) ).

cnf(540,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,538]) ).

cnf(541,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,539]) ).

cnf(542,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[11,540]) ).

cnf(543,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[11,541]) ).

cnf(544,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,542]) ).

cnf(545,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,543]) ).

cnf(546,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,544]) ).

cnf(547,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,545]) ).

cnf(548,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,546]) ).

cnf(549,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,547]) ).

cnf(550,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,548]) ).

cnf(551,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,549]) ).

cnf(552,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,550]) ).

cnf(553,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,551]) ).

cnf(554,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,552]) ).

cnf(555,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,553]) ).

cnf(556,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,554]) ).

cnf(557,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,555]) ).

cnf(558,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,556]) ).

cnf(559,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,557]) ).

cnf(560,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,558]) ).

cnf(561,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,559]) ).

cnf(562,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,560]) ).

cnf(563,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,561]) ).

cnf(564,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,562]) ).

cnf(565,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,563]) ).

cnf(566,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,564]) ).

cnf(567,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,565]) ).

cnf(568,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,566]) ).

cnf(569,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,567]) ).

cnf(570,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,568]) ).

cnf(571,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,569]) ).

cnf(572,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,570]) ).

cnf(573,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,571]) ).

cnf(574,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,572]) ).

cnf(575,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,573]) ).

cnf(576,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,574]) ).

cnf(577,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,575]) ).

cnf(578,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,576]) ).

cnf(579,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,577]) ).

cnf(580,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,578]) ).

cnf(581,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,579]) ).

cnf(582,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,580]) ).

cnf(583,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,581]) ).

cnf(584,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,582]) ).

cnf(585,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,583]) ).

cnf(586,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,584]) ).

cnf(587,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,585]) ).

cnf(588,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,586]) ).

cnf(589,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,587]) ).

cnf(590,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,588]) ).

cnf(591,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,589]) ).

cnf(592,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,590]) ).

cnf(593,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,591]) ).

cnf(594,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,592]) ).

cnf(595,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,593]) ).

cnf(596,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,594]) ).

cnf(597,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,595]) ).

cnf(598,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,596]) ).

cnf(599,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,597]) ).

cnf(600,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,598]) ).

cnf(601,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,599]) ).

cnf(602,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,600]) ).

cnf(603,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,601]) ).

cnf(604,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,602]) ).

cnf(605,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,603]) ).

cnf(606,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,604]) ).

cnf(607,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,605]) ).

cnf(608,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,606]) ).

cnf(609,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,607]) ).

cnf(610,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,608]) ).

cnf(611,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,609]) ).

cnf(612,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,610]) ).

cnf(613,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,611]) ).

cnf(614,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,612]) ).

cnf(615,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,613]) ).

cnf(616,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,614]) ).

cnf(617,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,615]) ).

cnf(618,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,616]) ).

cnf(619,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,617]) ).

cnf(620,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,618]) ).

cnf(621,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,619]) ).

cnf(622,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,620]) ).

cnf(623,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,621]) ).

cnf(624,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,622]) ).

cnf(625,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,623]) ).

cnf(626,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,624]) ).

cnf(627,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,625]) ).

cnf(628,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,626]) ).

cnf(629,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,627]) ).

cnf(630,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,628]) ).

cnf(631,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,629]) ).

cnf(632,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,630]) ).

cnf(633,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,631]) ).

cnf(634,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,632]) ).

cnf(635,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,633]) ).

cnf(636,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,634]) ).

cnf(637,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,635]) ).

cnf(638,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,636]) ).

cnf(639,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,637]) ).

cnf(640,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,638]) ).

cnf(641,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,639]) ).

cnf(642,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,640]) ).

cnf(643,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,641]) ).

cnf(644,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,642]) ).

cnf(645,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,643]) ).

cnf(646,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,644]) ).

cnf(647,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,645]) ).

cnf(648,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,646]) ).

cnf(649,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,647]) ).

cnf(650,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,648]) ).

cnf(651,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,649]) ).

cnf(652,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,650]) ).

cnf(653,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,651]) ).

cnf(654,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,652]) ).

cnf(655,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,653]) ).

cnf(656,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,654]) ).

cnf(657,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,655]) ).

cnf(658,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,656]) ).

cnf(659,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,657]) ).

cnf(660,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,658]) ).

cnf(661,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,659]) ).

cnf(662,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,660]) ).

cnf(663,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,661]) ).

cnf(664,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,662]) ).

cnf(665,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,663]) ).

cnf(666,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,664]) ).

cnf(667,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,665]) ).

cnf(668,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,666]) ).

cnf(669,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,667]) ).

cnf(670,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,668]) ).

cnf(671,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,669]) ).

cnf(672,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,670]) ).

cnf(673,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,671]) ).

cnf(674,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,672]) ).

cnf(675,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,673]) ).

cnf(676,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,674]) ).

cnf(677,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,675]) ).

cnf(678,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,676]) ).

cnf(679,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,677]) ).

cnf(680,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,678]) ).

cnf(681,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,679]) ).

cnf(682,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,680]) ).

cnf(683,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,681]) ).

cnf(684,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,682]) ).

cnf(685,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,683]) ).

cnf(686,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,684]) ).

cnf(687,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,685]) ).

cnf(688,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,686]) ).

cnf(689,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,687]) ).

cnf(690,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,688]) ).

cnf(691,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,689]) ).

cnf(692,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,690]) ).

cnf(693,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,691]) ).

cnf(694,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,692]) ).

cnf(695,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,693]) ).

cnf(696,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,694]) ).

cnf(697,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,695]) ).

cnf(698,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,696]) ).

cnf(699,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,697]) ).

cnf(700,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,698]) ).

cnf(701,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,699]) ).

cnf(702,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,700]) ).

cnf(703,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,701]) ).

cnf(704,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,702]) ).

cnf(705,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,703]) ).

cnf(706,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,704]) ).

cnf(707,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,705]) ).

cnf(708,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,706]) ).

cnf(709,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,707]) ).

cnf(710,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,708]) ).

cnf(711,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,709]) ).

cnf(712,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,710]) ).

cnf(713,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,711]) ).

cnf(714,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,712]) ).

cnf(715,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,713]) ).

cnf(716,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,714]) ).

cnf(717,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,715]) ).

cnf(718,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,716]) ).

cnf(719,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,717]) ).

cnf(720,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,718]) ).

cnf(721,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,719]) ).

cnf(722,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,720]) ).

cnf(723,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,721]) ).

cnf(724,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,722]) ).

cnf(725,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,723]) ).

cnf(726,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,724]) ).

cnf(727,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,725]) ).

cnf(728,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,726]) ).

cnf(729,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,727]) ).

cnf(730,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,728]) ).

cnf(731,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,729]) ).

cnf(732,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,730]) ).

cnf(733,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,731]) ).

cnf(734,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,732]) ).

cnf(735,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,733]) ).

cnf(736,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,734]) ).

cnf(737,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,735]) ).

cnf(738,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,736]) ).

cnf(739,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,737]) ).

cnf(740,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,738]) ).

cnf(741,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,739]) ).

cnf(742,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,740]) ).

cnf(743,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,741]) ).

cnf(744,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,742]) ).

cnf(745,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,743]) ).

cnf(746,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,744]) ).

cnf(747,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,745]) ).

cnf(748,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,746]) ).

cnf(749,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,747]) ).

cnf(750,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,748]) ).

cnf(751,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,749]) ).

cnf(752,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,750]) ).

cnf(753,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,751]) ).

cnf(754,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,752]) ).

cnf(755,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,753]) ).

cnf(756,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,754]) ).

cnf(757,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,755]) ).

cnf(758,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,756]) ).

cnf(759,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,757]) ).

cnf(760,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,758]) ).

cnf(761,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,759]) ).

cnf(762,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,760]) ).

cnf(763,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,761]) ).

cnf(764,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,762]) ).

cnf(765,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,763]) ).

cnf(766,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,764]) ).

cnf(767,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,765]) ).

cnf(768,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,766]) ).

cnf(769,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,767]) ).

cnf(770,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,768]) ).

cnf(771,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,769]) ).

cnf(772,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,770]) ).

cnf(773,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,771]) ).

cnf(774,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,772]) ).

cnf(775,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,773]) ).

cnf(776,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,774]) ).

cnf(777,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,775]) ).

cnf(778,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,776]) ).

cnf(779,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,777]) ).

cnf(780,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,778]) ).

cnf(781,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,779]) ).

cnf(782,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,780]) ).

cnf(783,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,781]) ).

cnf(784,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,782]) ).

cnf(785,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,783]) ).

cnf(786,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,784]) ).

cnf(787,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,785]) ).

cnf(788,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,786]) ).

cnf(789,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,787]) ).

cnf(790,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,788]) ).

cnf(791,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,789]) ).

cnf(792,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,790]) ).

cnf(793,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,791]) ).

cnf(794,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,792]) ).

cnf(795,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,793]) ).

cnf(796,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,794]) ).

cnf(797,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,795]) ).

cnf(798,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,796]) ).

cnf(799,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,797]) ).

cnf(800,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,798]) ).

cnf(801,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,799]) ).

cnf(802,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,800]) ).

cnf(803,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,801]) ).

cnf(804,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,802]) ).

cnf(805,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,803]) ).

cnf(806,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,804]) ).

cnf(807,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,805]) ).

cnf(808,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,806]) ).

cnf(809,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,807]) ).

cnf(810,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,808]) ).

cnf(811,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,809]) ).

cnf(812,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,810]) ).

cnf(813,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,811]) ).

cnf(814,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,812]) ).

cnf(815,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,813]) ).

cnf(816,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,814]) ).

cnf(817,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,815]) ).

cnf(818,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,816]) ).

cnf(819,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,817]) ).

cnf(820,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,818]) ).

cnf(821,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,819]) ).

cnf(822,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,820]) ).

cnf(823,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,821]) ).

cnf(824,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,822]) ).

cnf(825,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,823]) ).

cnf(826,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,824]) ).

cnf(827,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,825]) ).

cnf(828,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,826]) ).

cnf(829,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,827]) ).

cnf(830,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,828]) ).

cnf(831,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,829]) ).

cnf(832,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,830]) ).

cnf(833,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,831]) ).

cnf(834,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,832]) ).

cnf(835,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,833]) ).

cnf(836,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,834]) ).

cnf(837,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,835]) ).

cnf(838,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,836]) ).

cnf(839,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,837]) ).

cnf(840,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,838]) ).

cnf(841,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,839]) ).

cnf(842,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,840]) ).

cnf(843,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,841]) ).

cnf(844,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,842]) ).

cnf(845,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,843]) ).

cnf(846,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,844]) ).

cnf(847,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,845]) ).

cnf(848,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,846]) ).

cnf(849,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,847]) ).

cnf(850,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,848]) ).

cnf(851,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,849]) ).

cnf(852,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,850]) ).

cnf(853,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,851]) ).

cnf(854,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,852]) ).

cnf(855,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,853]) ).

cnf(856,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,854]) ).

cnf(857,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,855]) ).

cnf(858,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,856]) ).

cnf(859,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,857]) ).

cnf(860,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,858]) ).

cnf(861,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,859]) ).

cnf(862,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,860]) ).

cnf(863,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,861]) ).

cnf(864,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,862]) ).

cnf(865,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,863]) ).

cnf(866,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,864]) ).

cnf(867,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,865]) ).

cnf(868,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,866]) ).

cnf(869,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,867]) ).

cnf(870,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,868]) ).

cnf(871,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,869]) ).

cnf(872,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,870]) ).

cnf(873,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,871]) ).

cnf(874,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,872]) ).

cnf(875,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,873]) ).

cnf(876,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,874]) ).

cnf(877,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,875]) ).

cnf(878,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,876]) ).

cnf(879,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,877]) ).

cnf(880,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,878]) ).

cnf(881,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,879]) ).

cnf(882,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,880]) ).

cnf(883,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,881]) ).

cnf(884,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,882]) ).

cnf(885,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,883]) ).

cnf(886,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,884]) ).

cnf(887,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,885]) ).

cnf(888,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,886]) ).

cnf(889,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,887]) ).

cnf(890,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,888]) ).

cnf(891,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,889]) ).

cnf(892,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,890]) ).

cnf(893,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,891]) ).

cnf(894,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,892]) ).

cnf(895,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,893]) ).

cnf(896,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,894]) ).

cnf(897,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,895]) ).

cnf(898,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,896]) ).

cnf(899,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,897]) ).

cnf(900,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,898]) ).

cnf(901,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,899]) ).

cnf(902,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,900]) ).

cnf(903,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,901]) ).

cnf(904,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,902]) ).

cnf(905,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,903]) ).

cnf(906,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,904]) ).

cnf(907,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,905]) ).

cnf(908,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,906]) ).

cnf(909,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,907]) ).

cnf(910,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,908]) ).

cnf(911,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,909]) ).

cnf(912,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,910]) ).

cnf(913,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,911]) ).

cnf(914,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,912]) ).

cnf(915,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,913]) ).

cnf(916,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,914]) ).

cnf(917,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,915]) ).

cnf(918,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,916]) ).

cnf(919,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,917]) ).

cnf(920,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,918]) ).

cnf(921,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,919]) ).

cnf(922,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,920]) ).

cnf(923,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,921]) ).

cnf(924,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,922]) ).

cnf(925,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,923]) ).

cnf(926,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,924]) ).

cnf(927,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,925]) ).

cnf(928,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,926]) ).

cnf(929,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,927]) ).

cnf(930,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,928]) ).

cnf(931,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,929]) ).

cnf(932,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,930]) ).

cnf(933,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,931]) ).

cnf(934,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,932]) ).

cnf(935,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,933]) ).

cnf(936,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,934]) ).

cnf(937,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,935]) ).

cnf(938,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,936]) ).

cnf(939,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,937]) ).

cnf(940,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,938]) ).

cnf(941,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,939]) ).

cnf(942,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,940]) ).

cnf(943,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,941]) ).

cnf(944,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,942]) ).

cnf(945,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,943]) ).

cnf(946,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,944]) ).

cnf(947,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,945]) ).

cnf(948,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,946]) ).

cnf(949,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,947]) ).

cnf(950,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,948]) ).

cnf(951,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,949]) ).

cnf(952,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,950]) ).

cnf(953,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,951]) ).

cnf(954,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,952]) ).

cnf(955,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,953]) ).

cnf(956,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,954]) ).

cnf(957,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,955]) ).

cnf(958,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,956]) ).

cnf(959,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,957]) ).

cnf(960,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,958]) ).

cnf(961,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,959]) ).

cnf(962,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,960]) ).

cnf(963,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,961]) ).

cnf(964,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,962]) ).

cnf(965,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,963]) ).

cnf(966,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,964]) ).

cnf(967,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,965]) ).

cnf(968,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,966]) ).

cnf(969,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,967]) ).

cnf(970,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,968]) ).

cnf(971,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,969]) ).

cnf(972,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,970]) ).

cnf(973,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,971]) ).

cnf(974,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,972]) ).

cnf(975,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,973]) ).

cnf(976,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,974]) ).

cnf(977,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,975]) ).

cnf(978,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,976]) ).

cnf(979,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,977]) ).

cnf(980,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,978]) ).

cnf(981,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,979]) ).

cnf(982,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,980]) ).

cnf(983,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,981]) ).

cnf(984,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,982]) ).

cnf(985,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,983]) ).

cnf(986,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,984]) ).

cnf(987,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,985]) ).

cnf(988,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,986]) ).

cnf(989,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,987]) ).

cnf(990,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,988]) ).

cnf(991,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,989]) ).

cnf(992,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,990]) ).

cnf(993,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,991]) ).

cnf(994,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,992]) ).

cnf(995,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,993]) ).

cnf(996,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,994]) ).

cnf(997,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,995]) ).

cnf(998,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,996]) ).

cnf(999,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,997]) ).

cnf(1000,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,998]) ).

cnf(1001,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,999]) ).

cnf(1002,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1000]) ).

cnf(1003,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1001]) ).

cnf(1004,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1002]) ).

cnf(1005,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1003]) ).

cnf(1006,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,1004]) ).

cnf(1007,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,1005]) ).

cnf(1008,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1006]) ).

cnf(1009,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1007]) ).

cnf(1010,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1008]) ).

cnf(1011,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1009]) ).

cnf(1012,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1010]) ).

cnf(1013,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1011]) ).

cnf(1014,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1012]) ).

cnf(1015,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1013]) ).

cnf(1016,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1014]) ).

cnf(1017,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1015]) ).

cnf(1018,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1016]) ).

cnf(1019,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1017]) ).

cnf(1020,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1018]) ).

cnf(1021,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1019]) ).

cnf(1022,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,1020]) ).

cnf(1023,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,1021]) ).

cnf(1024,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1022]) ).

cnf(1025,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1023]) ).

cnf(1026,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1024]) ).

cnf(1027,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1025]) ).

cnf(1028,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1026]) ).

cnf(1029,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1027]) ).

cnf(1030,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1028]) ).

cnf(1031,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1029]) ).

cnf(1032,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1030]) ).

cnf(1033,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1031]) ).

cnf(1034,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1032]) ).

cnf(1035,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1033]) ).

cnf(1036,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1034]) ).

cnf(1037,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1035]) ).

cnf(1038,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,1036]) ).

cnf(1039,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,1037]) ).

cnf(1040,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1038]) ).

cnf(1041,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1039]) ).

cnf(1042,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1040]) ).

cnf(1043,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1041]) ).

cnf(1044,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1042]) ).

cnf(1045,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1043]) ).

cnf(1046,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1044]) ).

cnf(1047,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1045]) ).

cnf(1048,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1046]) ).

cnf(1049,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1047]) ).

cnf(1050,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1048]) ).

cnf(1051,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1049]) ).

cnf(1052,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1050]) ).

cnf(1053,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1051]) ).

cnf(1054,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[12,1052]) ).

cnf(1055,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[12,1053]) ).

cnf(1056,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1054]) ).

cnf(1057,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1055]) ).

cnf(1058,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1056]) ).

cnf(1059,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1057]) ).

cnf(1060,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1058]) ).

cnf(1061,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1059]) ).

cnf(1062,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1060]) ).

cnf(1063,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1061]) ).

cnf(1064,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1062]) ).

cnf(1065,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1063]) ).

cnf(1066,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1064]) ).

cnf(1067,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1065]) ).

cnf(1068,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1066]) ).

cnf(1069,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1067]) ).

cnf(1070,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,1068]) ).

cnf(1071,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,1069]) ).

cnf(1072,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1070]) ).

cnf(1073,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1071]) ).

cnf(1074,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1072]) ).

cnf(1075,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1073]) ).

cnf(1076,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1074]) ).

cnf(1077,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1075]) ).

cnf(1078,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1076]) ).

cnf(1079,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1077]) ).

cnf(1080,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1078]) ).

cnf(1081,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1079]) ).

cnf(1082,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1080]) ).

cnf(1083,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1081]) ).

cnf(1084,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1082]) ).

cnf(1085,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1083]) ).

cnf(1086,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,1084]) ).

cnf(1087,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,1085]) ).

cnf(1088,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1086]) ).

cnf(1089,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1087]) ).

cnf(1090,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1088]) ).

cnf(1091,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1089]) ).

cnf(1092,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1090]) ).

cnf(1093,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1091]) ).

cnf(1094,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1092]) ).

cnf(1095,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1093]) ).

cnf(1096,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1094]) ).

cnf(1097,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1095]) ).

cnf(1098,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1096]) ).

cnf(1099,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1097]) ).

cnf(1100,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1098]) ).

cnf(1101,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1099]) ).

cnf(1102,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,1100]) ).

cnf(1103,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,1101]) ).

cnf(1104,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1102]) ).

cnf(1105,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1103]) ).

cnf(1106,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1104]) ).

cnf(1107,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1105]) ).

cnf(1108,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1106]) ).

cnf(1109,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1107]) ).

cnf(1110,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1108]) ).

cnf(1111,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1109]) ).

cnf(1112,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1110]) ).

cnf(1113,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1111]) ).

cnf(1114,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1112]) ).

cnf(1115,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1113]) ).

cnf(1116,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1114]) ).

cnf(1117,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1115]) ).

cnf(1118,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,1116]) ).

cnf(1119,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,1117]) ).

cnf(1120,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1118]) ).

cnf(1121,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1119]) ).

cnf(1122,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1120]) ).

cnf(1123,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1121]) ).

cnf(1124,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1122]) ).

cnf(1125,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1123]) ).

cnf(1126,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1124]) ).

cnf(1127,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1125]) ).

cnf(1128,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1126]) ).

cnf(1129,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1127]) ).

cnf(1130,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1128]) ).

cnf(1131,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1129]) ).

cnf(1132,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1130]) ).

cnf(1133,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1131]) ).

cnf(1134,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,1132]) ).

cnf(1135,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,1133]) ).

cnf(1136,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1134]) ).

cnf(1137,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1135]) ).

cnf(1138,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1136]) ).

cnf(1139,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1137]) ).

cnf(1140,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1138]) ).

cnf(1141,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1139]) ).

cnf(1142,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1140]) ).

cnf(1143,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1141]) ).

cnf(1144,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1142]) ).

cnf(1145,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1143]) ).

cnf(1146,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1144]) ).

cnf(1147,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1145]) ).

cnf(1148,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1146]) ).

cnf(1149,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1147]) ).

cnf(1150,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,1148]) ).

cnf(1151,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,1149]) ).

cnf(1152,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1150]) ).

cnf(1153,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1151]) ).

cnf(1154,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1152]) ).

cnf(1155,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1153]) ).

cnf(1156,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1154]) ).

cnf(1157,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1155]) ).

cnf(1158,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1156]) ).

cnf(1159,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1157]) ).

cnf(1160,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1158]) ).

cnf(1161,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1159]) ).

cnf(1162,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1160]) ).

cnf(1163,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1161]) ).

cnf(1164,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1162]) ).

cnf(1165,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1163]) ).

cnf(1166,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,1164]) ).

cnf(1167,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,1165]) ).

cnf(1168,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1166]) ).

cnf(1169,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1167]) ).

cnf(1170,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1168]) ).

cnf(1171,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1169]) ).

cnf(1172,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1170]) ).

cnf(1173,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1171]) ).

cnf(1174,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1172]) ).

cnf(1175,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1173]) ).

cnf(1176,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1174]) ).

cnf(1177,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1175]) ).

cnf(1178,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1176]) ).

cnf(1179,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1177]) ).

cnf(1180,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1178]) ).

cnf(1181,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1179]) ).

cnf(1182,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,1180]) ).

cnf(1183,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,1181]) ).

cnf(1184,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1182]) ).

cnf(1185,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1183]) ).

cnf(1186,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1184]) ).

cnf(1187,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1185]) ).

cnf(1188,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1186]) ).

cnf(1189,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1187]) ).

cnf(1190,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1188]) ).

cnf(1191,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1189]) ).

cnf(1192,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1190]) ).

cnf(1193,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1191]) ).

cnf(1194,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1192]) ).

cnf(1195,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1193]) ).

cnf(1196,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1194]) ).

cnf(1197,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1195]) ).

cnf(1198,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,1196]) ).

cnf(1199,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,1197]) ).

cnf(1200,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1198]) ).

cnf(1201,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1199]) ).

cnf(1202,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1200]) ).

cnf(1203,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1201]) ).

cnf(1204,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1202]) ).

cnf(1205,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1203]) ).

cnf(1206,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1204]) ).

cnf(1207,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1205]) ).

cnf(1208,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1206]) ).

cnf(1209,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1207]) ).

cnf(1210,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1208]) ).

cnf(1211,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1209]) ).

cnf(1212,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1210]) ).

cnf(1213,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1211]) ).

cnf(1214,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,1212]) ).

cnf(1215,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,1213]) ).

cnf(1216,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1214]) ).

cnf(1217,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1215]) ).

cnf(1218,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1216]) ).

cnf(1219,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1217]) ).

cnf(1220,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1218]) ).

cnf(1221,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1219]) ).

cnf(1222,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1220]) ).

cnf(1223,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1221]) ).

cnf(1224,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1222]) ).

cnf(1225,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1223]) ).

cnf(1226,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1224]) ).

cnf(1227,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1225]) ).

cnf(1228,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1226]) ).

cnf(1229,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1227]) ).

cnf(1230,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,1228]) ).

cnf(1231,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,1229]) ).

cnf(1232,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1230]) ).

cnf(1233,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1231]) ).

cnf(1234,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1232]) ).

cnf(1235,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1233]) ).

cnf(1236,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1234]) ).

cnf(1237,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1235]) ).

cnf(1238,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1236]) ).

cnf(1239,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1237]) ).

cnf(1240,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1238]) ).

cnf(1241,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1239]) ).

cnf(1242,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1240]) ).

cnf(1243,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1241]) ).

cnf(1244,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1242]) ).

cnf(1245,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1243]) ).

cnf(1246,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,1244]) ).

cnf(1247,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,1245]) ).

cnf(1248,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1246]) ).

cnf(1249,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1247]) ).

cnf(1250,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1248]) ).

cnf(1251,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1249]) ).

cnf(1252,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1250]) ).

cnf(1253,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1251]) ).

cnf(1254,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1252]) ).

cnf(1255,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1253]) ).

cnf(1256,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1254]) ).

cnf(1257,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1255]) ).

cnf(1258,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1256]) ).

cnf(1259,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1257]) ).

cnf(1260,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1258]) ).

cnf(1261,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1259]) ).

cnf(1262,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,1260]) ).

cnf(1263,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,1261]) ).

cnf(1264,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1262]) ).

cnf(1265,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1263]) ).

cnf(1266,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1264]) ).

cnf(1267,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1265]) ).

cnf(1268,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1266]) ).

cnf(1269,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1267]) ).

cnf(1270,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1268]) ).

cnf(1271,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1269]) ).

cnf(1272,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1270]) ).

cnf(1273,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1271]) ).

cnf(1274,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1272]) ).

cnf(1275,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1273]) ).

cnf(1276,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1274]) ).

cnf(1277,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1275]) ).

cnf(1278,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,1276]) ).

cnf(1279,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,1277]) ).

cnf(1280,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1278]) ).

cnf(1281,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1279]) ).

cnf(1282,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1280]) ).

cnf(1283,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1281]) ).

cnf(1284,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1282]) ).

cnf(1285,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1283]) ).

cnf(1286,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1284]) ).

cnf(1287,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1285]) ).

cnf(1288,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1286]) ).

cnf(1289,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1287]) ).

cnf(1290,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1288]) ).

cnf(1291,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1289]) ).

cnf(1292,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1290]) ).

cnf(1293,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1291]) ).

cnf(1294,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,1292]) ).

cnf(1295,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,1293]) ).

cnf(1296,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1294]) ).

cnf(1297,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1295]) ).

cnf(1298,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1296]) ).

cnf(1299,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1297]) ).

cnf(1300,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1298]) ).

cnf(1301,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1299]) ).

cnf(1302,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1300]) ).

cnf(1303,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1301]) ).

cnf(1304,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1302]) ).

cnf(1305,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1303]) ).

cnf(1306,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1304]) ).

cnf(1307,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1305]) ).

cnf(1308,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1306]) ).

cnf(1309,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1307]) ).

cnf(1310,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,1308]) ).

cnf(1311,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,1309]) ).

cnf(1312,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1310]) ).

cnf(1313,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1311]) ).

cnf(1314,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1312]) ).

cnf(1315,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1313]) ).

cnf(1316,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1314]) ).

cnf(1317,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1315]) ).

cnf(1318,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1316]) ).

cnf(1319,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1317]) ).

cnf(1320,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1318]) ).

cnf(1321,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1319]) ).

cnf(1322,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1320]) ).

cnf(1323,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1321]) ).

cnf(1324,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1322]) ).

cnf(1325,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1323]) ).

cnf(1326,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,1324]) ).

cnf(1327,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,1325]) ).

cnf(1328,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1326]) ).

cnf(1329,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1327]) ).

cnf(1330,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1328]) ).

cnf(1331,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1329]) ).

cnf(1332,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1330]) ).

cnf(1333,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1331]) ).

cnf(1334,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1332]) ).

cnf(1335,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1333]) ).

cnf(1336,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1334]) ).

cnf(1337,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1335]) ).

cnf(1338,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1336]) ).

cnf(1339,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1337]) ).

cnf(1340,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1338]) ).

cnf(1341,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1339]) ).

cnf(1342,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,1340]) ).

cnf(1343,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,1341]) ).

cnf(1344,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1342]) ).

cnf(1345,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1343]) ).

cnf(1346,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1344]) ).

cnf(1347,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1345]) ).

cnf(1348,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1346]) ).

cnf(1349,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1347]) ).

cnf(1350,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1348]) ).

cnf(1351,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1349]) ).

cnf(1352,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1350]) ).

cnf(1353,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1351]) ).

cnf(1354,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1352]) ).

cnf(1355,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1353]) ).

cnf(1356,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1354]) ).

cnf(1357,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1355]) ).

cnf(1358,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,1356]) ).

cnf(1359,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,1357]) ).

cnf(1360,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1358]) ).

cnf(1361,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1359]) ).

cnf(1362,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1360]) ).

cnf(1363,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1361]) ).

cnf(1364,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1362]) ).

cnf(1365,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1363]) ).

cnf(1366,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1364]) ).

cnf(1367,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1365]) ).

cnf(1368,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1366]) ).

cnf(1369,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1367]) ).

cnf(1370,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1368]) ).

cnf(1371,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1369]) ).

cnf(1372,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1370]) ).

cnf(1373,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1371]) ).

cnf(1374,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,1372]) ).

cnf(1375,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,1373]) ).

cnf(1376,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1374]) ).

cnf(1377,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1375]) ).

cnf(1378,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1376]) ).

cnf(1379,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1377]) ).

cnf(1380,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1378]) ).

cnf(1381,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1379]) ).

cnf(1382,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1380]) ).

cnf(1383,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1381]) ).

cnf(1384,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1382]) ).

cnf(1385,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1383]) ).

cnf(1386,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1384]) ).

cnf(1387,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1385]) ).

cnf(1388,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1386]) ).

cnf(1389,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1387]) ).

cnf(1390,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,1388]) ).

cnf(1391,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,1389]) ).

cnf(1392,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1390]) ).

cnf(1393,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1391]) ).

cnf(1394,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1392]) ).

cnf(1395,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1393]) ).

cnf(1396,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1394]) ).

cnf(1397,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1395]) ).

cnf(1398,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1396]) ).

cnf(1399,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1397]) ).

cnf(1400,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1398]) ).

cnf(1401,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1399]) ).

cnf(1402,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1400]) ).

cnf(1403,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1401]) ).

cnf(1404,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1402]) ).

cnf(1405,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1403]) ).

cnf(1406,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,1404]) ).

cnf(1407,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,1405]) ).

cnf(1408,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1406]) ).

cnf(1409,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1407]) ).

cnf(1410,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1408]) ).

cnf(1411,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1409]) ).

cnf(1412,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1410]) ).

cnf(1413,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1411]) ).

cnf(1414,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1412]) ).

cnf(1415,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1413]) ).

cnf(1416,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1414]) ).

cnf(1417,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1415]) ).

cnf(1418,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1416]) ).

cnf(1419,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1417]) ).

cnf(1420,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1418]) ).

cnf(1421,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1419]) ).

cnf(1422,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,1420]) ).

cnf(1423,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,1421]) ).

cnf(1424,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1422]) ).

cnf(1425,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1423]) ).

cnf(1426,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1424]) ).

cnf(1427,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1425]) ).

cnf(1428,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1426]) ).

cnf(1429,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1427]) ).

cnf(1430,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1428]) ).

cnf(1431,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1429]) ).

cnf(1432,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1430]) ).

cnf(1433,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1431]) ).

cnf(1434,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1432]) ).

cnf(1435,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1433]) ).

cnf(1436,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1434]) ).

cnf(1437,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1435]) ).

cnf(1438,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,1436]) ).

cnf(1439,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,1437]) ).

cnf(1440,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1438]) ).

cnf(1441,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1439]) ).

cnf(1442,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1440]) ).

cnf(1443,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1441]) ).

cnf(1444,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1442]) ).

cnf(1445,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1443]) ).

cnf(1446,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1444]) ).

cnf(1447,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1445]) ).

cnf(1448,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1446]) ).

cnf(1449,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1447]) ).

cnf(1450,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1448]) ).

cnf(1451,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1449]) ).

cnf(1452,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1450]) ).

cnf(1453,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1451]) ).

cnf(1454,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,1452]) ).

cnf(1455,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,1453]) ).

cnf(1456,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1454]) ).

cnf(1457,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1455]) ).

cnf(1458,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1456]) ).

cnf(1459,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1457]) ).

cnf(1460,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1458]) ).

cnf(1461,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1459]) ).

cnf(1462,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1460]) ).

cnf(1463,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1461]) ).

cnf(1464,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1462]) ).

cnf(1465,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1463]) ).

cnf(1466,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1464]) ).

cnf(1467,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1465]) ).

cnf(1468,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1466]) ).

cnf(1469,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1467]) ).

cnf(1470,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,1468]) ).

cnf(1471,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,1469]) ).

cnf(1472,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1470]) ).

cnf(1473,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1471]) ).

cnf(1474,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1472]) ).

cnf(1475,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1473]) ).

cnf(1476,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1474]) ).

cnf(1477,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1475]) ).

cnf(1478,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1476]) ).

cnf(1479,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1477]) ).

cnf(1480,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1478]) ).

cnf(1481,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1479]) ).

cnf(1482,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1480]) ).

cnf(1483,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1481]) ).

cnf(1484,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1482]) ).

cnf(1485,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1483]) ).

cnf(1486,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,1484]) ).

cnf(1487,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,1485]) ).

cnf(1488,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1486]) ).

cnf(1489,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1487]) ).

cnf(1490,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1488]) ).

cnf(1491,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1489]) ).

cnf(1492,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1490]) ).

cnf(1493,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1491]) ).

cnf(1494,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1492]) ).

cnf(1495,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1493]) ).

cnf(1496,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1494]) ).

cnf(1497,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1495]) ).

cnf(1498,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1496]) ).

cnf(1499,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1497]) ).

cnf(1500,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1498]) ).

cnf(1501,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1499]) ).

cnf(1502,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,1500]) ).

cnf(1503,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,1501]) ).

cnf(1504,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1502]) ).

cnf(1505,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1503]) ).

cnf(1506,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1504]) ).

cnf(1507,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1505]) ).

cnf(1508,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1506]) ).

cnf(1509,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1507]) ).

cnf(1510,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1508]) ).

cnf(1511,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1509]) ).

cnf(1512,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1510]) ).

cnf(1513,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1511]) ).

cnf(1514,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1512]) ).

cnf(1515,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1513]) ).

cnf(1516,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1514]) ).

cnf(1517,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1515]) ).

cnf(1518,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,1516]) ).

cnf(1519,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,1517]) ).

cnf(1520,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1518]) ).

cnf(1521,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1519]) ).

cnf(1522,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1520]) ).

cnf(1523,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1521]) ).

cnf(1524,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1522]) ).

cnf(1525,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1523]) ).

cnf(1526,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1524]) ).

cnf(1527,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1525]) ).

cnf(1528,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1526]) ).

cnf(1529,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1527]) ).

cnf(1530,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1528]) ).

cnf(1531,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1529]) ).

cnf(1532,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1530]) ).

cnf(1533,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1531]) ).

cnf(1534,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,1532]) ).

cnf(1535,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,1533]) ).

cnf(1536,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1534]) ).

cnf(1537,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1535]) ).

cnf(1538,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1536]) ).

cnf(1539,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1537]) ).

cnf(1540,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1538]) ).

cnf(1541,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1539]) ).

cnf(1542,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1540]) ).

cnf(1543,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1541]) ).

cnf(1544,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1542]) ).

cnf(1545,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1543]) ).

cnf(1546,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1544]) ).

cnf(1547,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1545]) ).

cnf(1548,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1546]) ).

cnf(1549,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1547]) ).

cnf(1550,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,1548]) ).

cnf(1551,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,1549]) ).

cnf(1552,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1550]) ).

cnf(1553,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1551]) ).

cnf(1554,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1552]) ).

cnf(1555,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1553]) ).

cnf(1556,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1554]) ).

cnf(1557,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1555]) ).

cnf(1558,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1556]) ).

cnf(1559,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1557]) ).

cnf(1560,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1558]) ).

cnf(1561,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1559]) ).

cnf(1562,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1560]) ).

cnf(1563,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1561]) ).

cnf(1564,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1562]) ).

cnf(1565,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1563]) ).

cnf(1566,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[11,1564]) ).

cnf(1567,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[11,1565]) ).

cnf(1568,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1566]) ).

cnf(1569,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1567]) ).

cnf(1570,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1568]) ).

cnf(1571,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1569]) ).

cnf(1572,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1570]) ).

cnf(1573,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1571]) ).

cnf(1574,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1572]) ).

cnf(1575,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1573]) ).

cnf(1576,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1574]) ).

cnf(1577,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1575]) ).

cnf(1578,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1576]) ).

cnf(1579,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1577]) ).

cnf(1580,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1578]) ).

cnf(1581,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1579]) ).

cnf(1582,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,1580]) ).

cnf(1583,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,1581]) ).

cnf(1584,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1582]) ).

cnf(1585,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1583]) ).

cnf(1586,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1584]) ).

cnf(1587,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1585]) ).

cnf(1588,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1586]) ).

cnf(1589,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1587]) ).

cnf(1590,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1588]) ).

cnf(1591,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1589]) ).

cnf(1592,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1590]) ).

cnf(1593,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1591]) ).

cnf(1594,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1592]) ).

cnf(1595,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1593]) ).

cnf(1596,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1594]) ).

cnf(1597,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1595]) ).

cnf(1598,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,1596]) ).

cnf(1599,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,1597]) ).

cnf(1600,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1598]) ).

cnf(1601,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1599]) ).

cnf(1602,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1600]) ).

cnf(1603,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1601]) ).

cnf(1604,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1602]) ).

cnf(1605,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1603]) ).

cnf(1606,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1604]) ).

cnf(1607,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1605]) ).

cnf(1608,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1606]) ).

cnf(1609,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1607]) ).

cnf(1610,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1608]) ).

cnf(1611,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1609]) ).

cnf(1612,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1610]) ).

cnf(1613,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1611]) ).

cnf(1614,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,1612]) ).

cnf(1615,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,1613]) ).

cnf(1616,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1614]) ).

cnf(1617,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1615]) ).

cnf(1618,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1616]) ).

cnf(1619,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1617]) ).

cnf(1620,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1618]) ).

cnf(1621,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1619]) ).

cnf(1622,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1620]) ).

cnf(1623,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1621]) ).

cnf(1624,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1622]) ).

cnf(1625,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1623]) ).

cnf(1626,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1624]) ).

cnf(1627,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1625]) ).

cnf(1628,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1626]) ).

cnf(1629,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1627]) ).

cnf(1630,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,1628]) ).

cnf(1631,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,1629]) ).

cnf(1632,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1630]) ).

cnf(1633,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1631]) ).

cnf(1634,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1632]) ).

cnf(1635,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1633]) ).

cnf(1636,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1634]) ).

cnf(1637,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1635]) ).

cnf(1638,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1636]) ).

cnf(1639,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1637]) ).

cnf(1640,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1638]) ).

cnf(1641,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1639]) ).

cnf(1642,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1640]) ).

cnf(1643,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1641]) ).

cnf(1644,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1642]) ).

cnf(1645,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1643]) ).

cnf(1646,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,1644]) ).

cnf(1647,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,1645]) ).

cnf(1648,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1646]) ).

cnf(1649,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1647]) ).

cnf(1650,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1648]) ).

cnf(1651,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1649]) ).

cnf(1652,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1650]) ).

cnf(1653,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1651]) ).

cnf(1654,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1652]) ).

cnf(1655,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1653]) ).

cnf(1656,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1654]) ).

cnf(1657,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1655]) ).

cnf(1658,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1656]) ).

cnf(1659,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1657]) ).

cnf(1660,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1658]) ).

cnf(1661,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1659]) ).

cnf(1662,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,1660]) ).

cnf(1663,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,1661]) ).

cnf(1664,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1662]) ).

cnf(1665,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1663]) ).

cnf(1666,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1664]) ).

cnf(1667,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1665]) ).

cnf(1668,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1666]) ).

cnf(1669,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1667]) ).

cnf(1670,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1668]) ).

cnf(1671,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1669]) ).

cnf(1672,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1670]) ).

cnf(1673,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1671]) ).

cnf(1674,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1672]) ).

cnf(1675,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1673]) ).

cnf(1676,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1674]) ).

cnf(1677,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1675]) ).

cnf(1678,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,1676]) ).

cnf(1679,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,1677]) ).

cnf(1680,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1678]) ).

cnf(1681,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1679]) ).

cnf(1682,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1680]) ).

cnf(1683,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1681]) ).

cnf(1684,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1682]) ).

cnf(1685,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1683]) ).

cnf(1686,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1684]) ).

cnf(1687,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1685]) ).

cnf(1688,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1686]) ).

cnf(1689,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1687]) ).

cnf(1690,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1688]) ).

cnf(1691,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1689]) ).

cnf(1692,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1690]) ).

cnf(1693,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1691]) ).

cnf(1694,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,1692]) ).

cnf(1695,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,1693]) ).

cnf(1696,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1694]) ).

cnf(1697,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1695]) ).

cnf(1698,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1696]) ).

cnf(1699,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1697]) ).

cnf(1700,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1698]) ).

cnf(1701,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1699]) ).

cnf(1702,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1700]) ).

cnf(1703,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1701]) ).

cnf(1704,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1702]) ).

cnf(1705,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1703]) ).

cnf(1706,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1704]) ).

cnf(1707,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1705]) ).

cnf(1708,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1706]) ).

cnf(1709,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1707]) ).

cnf(1710,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,1708]) ).

cnf(1711,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,1709]) ).

cnf(1712,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1710]) ).

cnf(1713,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1711]) ).

cnf(1714,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1712]) ).

cnf(1715,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1713]) ).

cnf(1716,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1714]) ).

cnf(1717,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1715]) ).

cnf(1718,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1716]) ).

cnf(1719,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1717]) ).

cnf(1720,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1718]) ).

cnf(1721,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1719]) ).

cnf(1722,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1720]) ).

cnf(1723,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1721]) ).

cnf(1724,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1722]) ).

cnf(1725,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1723]) ).

cnf(1726,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,1724]) ).

cnf(1727,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,1725]) ).

cnf(1728,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1726]) ).

cnf(1729,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1727]) ).

cnf(1730,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1728]) ).

cnf(1731,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1729]) ).

cnf(1732,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1730]) ).

cnf(1733,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1731]) ).

cnf(1734,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1732]) ).

cnf(1735,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1733]) ).

cnf(1736,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1734]) ).

cnf(1737,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1735]) ).

cnf(1738,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1736]) ).

cnf(1739,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1737]) ).

cnf(1740,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1738]) ).

cnf(1741,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1739]) ).

cnf(1742,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,1740]) ).

cnf(1743,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,1741]) ).

cnf(1744,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1742]) ).

cnf(1745,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1743]) ).

cnf(1746,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1744]) ).

cnf(1747,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1745]) ).

cnf(1748,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1746]) ).

cnf(1749,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1747]) ).

cnf(1750,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1748]) ).

cnf(1751,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1749]) ).

cnf(1752,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1750]) ).

cnf(1753,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1751]) ).

cnf(1754,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1752]) ).

cnf(1755,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1753]) ).

cnf(1756,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1754]) ).

cnf(1757,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1755]) ).

cnf(1758,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,1756]) ).

cnf(1759,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,1757]) ).

cnf(1760,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1758]) ).

cnf(1761,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1759]) ).

cnf(1762,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1760]) ).

cnf(1763,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1761]) ).

cnf(1764,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1762]) ).

cnf(1765,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1763]) ).

cnf(1766,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1764]) ).

cnf(1767,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1765]) ).

cnf(1768,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1766]) ).

cnf(1769,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1767]) ).

cnf(1770,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1768]) ).

cnf(1771,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1769]) ).

cnf(1772,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1770]) ).

cnf(1773,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1771]) ).

cnf(1774,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,1772]) ).

cnf(1775,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,1773]) ).

cnf(1776,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1774]) ).

cnf(1777,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1775]) ).

cnf(1778,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1776]) ).

cnf(1779,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1777]) ).

cnf(1780,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1778]) ).

cnf(1781,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1779]) ).

cnf(1782,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1780]) ).

cnf(1783,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1781]) ).

cnf(1784,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1782]) ).

cnf(1785,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1783]) ).

cnf(1786,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1784]) ).

cnf(1787,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1785]) ).

cnf(1788,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1786]) ).

cnf(1789,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1787]) ).

cnf(1790,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,1788]) ).

cnf(1791,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,1789]) ).

cnf(1792,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1790]) ).

cnf(1793,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1791]) ).

cnf(1794,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1792]) ).

cnf(1795,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1793]) ).

cnf(1796,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1794]) ).

cnf(1797,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1795]) ).

cnf(1798,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1796]) ).

cnf(1799,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1797]) ).

cnf(1800,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1798]) ).

cnf(1801,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1799]) ).

cnf(1802,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1800]) ).

cnf(1803,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1801]) ).

cnf(1804,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1802]) ).

cnf(1805,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1803]) ).

cnf(1806,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,1804]) ).

cnf(1807,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,1805]) ).

cnf(1808,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1806]) ).

cnf(1809,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1807]) ).

cnf(1810,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1808]) ).

cnf(1811,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1809]) ).

cnf(1812,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1810]) ).

cnf(1813,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1811]) ).

cnf(1814,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1812]) ).

cnf(1815,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1813]) ).

cnf(1816,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1814]) ).

cnf(1817,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1815]) ).

cnf(1818,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1816]) ).

cnf(1819,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1817]) ).

cnf(1820,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1818]) ).

cnf(1821,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1819]) ).

cnf(1822,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,1820]) ).

cnf(1823,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,1821]) ).

cnf(1824,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1822]) ).

cnf(1825,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1823]) ).

cnf(1826,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1824]) ).

cnf(1827,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1825]) ).

cnf(1828,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1826]) ).

cnf(1829,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1827]) ).

cnf(1830,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1828]) ).

cnf(1831,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1829]) ).

cnf(1832,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1830]) ).

cnf(1833,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1831]) ).

cnf(1834,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1832]) ).

cnf(1835,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1833]) ).

cnf(1836,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1834]) ).

cnf(1837,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1835]) ).

cnf(1838,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,1836]) ).

cnf(1839,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,1837]) ).

cnf(1840,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1838]) ).

cnf(1841,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1839]) ).

cnf(1842,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1840]) ).

cnf(1843,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1841]) ).

cnf(1844,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1842]) ).

cnf(1845,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1843]) ).

cnf(1846,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1844]) ).

cnf(1847,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1845]) ).

cnf(1848,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1846]) ).

cnf(1849,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1847]) ).

cnf(1850,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1848]) ).

cnf(1851,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1849]) ).

cnf(1852,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1850]) ).

cnf(1853,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1851]) ).

cnf(1854,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,1852]) ).

cnf(1855,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,1853]) ).

cnf(1856,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1854]) ).

cnf(1857,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1855]) ).

cnf(1858,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1856]) ).

cnf(1859,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1857]) ).

cnf(1860,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1858]) ).

cnf(1861,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1859]) ).

cnf(1862,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1860]) ).

cnf(1863,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1861]) ).

cnf(1864,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1862]) ).

cnf(1865,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1863]) ).

cnf(1866,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1864]) ).

cnf(1867,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1865]) ).

cnf(1868,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1866]) ).

cnf(1869,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1867]) ).

cnf(1870,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,1868]) ).

cnf(1871,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,1869]) ).

cnf(1872,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1870]) ).

cnf(1873,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1871]) ).

cnf(1874,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1872]) ).

cnf(1875,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1873]) ).

cnf(1876,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1874]) ).

cnf(1877,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1875]) ).

cnf(1878,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1876]) ).

cnf(1879,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1877]) ).

cnf(1880,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1878]) ).

cnf(1881,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1879]) ).

cnf(1882,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1880]) ).

cnf(1883,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1881]) ).

cnf(1884,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1882]) ).

cnf(1885,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1883]) ).

cnf(1886,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,1884]) ).

cnf(1887,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,1885]) ).

cnf(1888,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1886]) ).

cnf(1889,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1887]) ).

cnf(1890,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1888]) ).

cnf(1891,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1889]) ).

cnf(1892,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1890]) ).

cnf(1893,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1891]) ).

cnf(1894,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1892]) ).

cnf(1895,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1893]) ).

cnf(1896,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1894]) ).

cnf(1897,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1895]) ).

cnf(1898,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1896]) ).

cnf(1899,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1897]) ).

cnf(1900,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1898]) ).

cnf(1901,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1899]) ).

cnf(1902,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,1900]) ).

cnf(1903,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,1901]) ).

cnf(1904,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1902]) ).

cnf(1905,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1903]) ).

cnf(1906,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1904]) ).

cnf(1907,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1905]) ).

cnf(1908,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1906]) ).

cnf(1909,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1907]) ).

cnf(1910,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1908]) ).

cnf(1911,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1909]) ).

cnf(1912,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1910]) ).

cnf(1913,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1911]) ).

cnf(1914,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1912]) ).

cnf(1915,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1913]) ).

cnf(1916,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1914]) ).

cnf(1917,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1915]) ).

cnf(1918,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,1916]) ).

cnf(1919,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,1917]) ).

cnf(1920,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1918]) ).

cnf(1921,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1919]) ).

cnf(1922,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1920]) ).

cnf(1923,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1921]) ).

cnf(1924,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1922]) ).

cnf(1925,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1923]) ).

cnf(1926,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1924]) ).

cnf(1927,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1925]) ).

cnf(1928,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1926]) ).

cnf(1929,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1927]) ).

cnf(1930,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1928]) ).

cnf(1931,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1929]) ).

cnf(1932,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1930]) ).

cnf(1933,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1931]) ).

cnf(1934,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,1932]) ).

cnf(1935,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,1933]) ).

cnf(1936,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1934]) ).

cnf(1937,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1935]) ).

cnf(1938,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1936]) ).

cnf(1939,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1937]) ).

cnf(1940,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1938]) ).

cnf(1941,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1939]) ).

cnf(1942,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1940]) ).

cnf(1943,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1941]) ).

cnf(1944,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1942]) ).

cnf(1945,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1943]) ).

cnf(1946,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1944]) ).

cnf(1947,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1945]) ).

cnf(1948,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1946]) ).

cnf(1949,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1947]) ).

cnf(1950,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,1948]) ).

cnf(1951,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,1949]) ).

cnf(1952,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1950]) ).

cnf(1953,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1951]) ).

cnf(1954,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1952]) ).

cnf(1955,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1953]) ).

cnf(1956,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1954]) ).

cnf(1957,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1955]) ).

cnf(1958,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1956]) ).

cnf(1959,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1957]) ).

cnf(1960,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1958]) ).

cnf(1961,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1959]) ).

cnf(1962,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1960]) ).

cnf(1963,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1961]) ).

cnf(1964,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1962]) ).

cnf(1965,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1963]) ).

cnf(1966,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,1964]) ).

cnf(1967,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,1965]) ).

cnf(1968,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1966]) ).

cnf(1969,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1967]) ).

cnf(1970,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1968]) ).

cnf(1971,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1969]) ).

cnf(1972,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1970]) ).

cnf(1973,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1971]) ).

cnf(1974,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1972]) ).

cnf(1975,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1973]) ).

cnf(1976,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1974]) ).

cnf(1977,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1975]) ).

cnf(1978,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1976]) ).

cnf(1979,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1977]) ).

cnf(1980,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1978]) ).

cnf(1981,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1979]) ).

cnf(1982,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,1980]) ).

cnf(1983,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,1981]) ).

cnf(1984,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1982]) ).

cnf(1985,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1983]) ).

cnf(1986,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1984]) ).

cnf(1987,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1985]) ).

cnf(1988,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1986]) ).

cnf(1989,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1987]) ).

cnf(1990,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,1988]) ).

cnf(1991,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,1989]) ).

cnf(1992,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1990]) ).

cnf(1993,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1991]) ).

cnf(1994,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,1992]) ).

cnf(1995,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,1993]) ).

cnf(1996,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1994]) ).

cnf(1997,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1995]) ).

cnf(1998,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,1996]) ).

cnf(1999,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,1997]) ).

cnf(2000,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,1998]) ).

cnf(2001,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,1999]) ).

cnf(2002,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2000]) ).

cnf(2003,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2001]) ).

cnf(2004,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2002]) ).

cnf(2005,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2003]) ).

cnf(2006,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2004]) ).

cnf(2007,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2005]) ).

cnf(2008,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2006]) ).

cnf(2009,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2007]) ).

cnf(2010,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2008]) ).

cnf(2011,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2009]) ).

cnf(2012,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2010]) ).

cnf(2013,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2011]) ).

cnf(2014,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,2012]) ).

cnf(2015,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,2013]) ).

cnf(2016,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2014]) ).

cnf(2017,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2015]) ).

cnf(2018,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2016]) ).

cnf(2019,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2017]) ).

cnf(2020,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2018]) ).

cnf(2021,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2019]) ).

cnf(2022,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2020]) ).

cnf(2023,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2021]) ).

cnf(2024,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2022]) ).

cnf(2025,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2023]) ).

cnf(2026,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2024]) ).

cnf(2027,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2025]) ).

cnf(2028,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2026]) ).

cnf(2029,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2027]) ).

cnf(2030,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,2028]) ).

cnf(2031,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,2029]) ).

cnf(2032,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2030]) ).

cnf(2033,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2031]) ).

cnf(2034,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2032]) ).

cnf(2035,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2033]) ).

cnf(2036,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2034]) ).

cnf(2037,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2035]) ).

cnf(2038,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2036]) ).

cnf(2039,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2037]) ).

cnf(2040,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2038]) ).

cnf(2041,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2039]) ).

cnf(2042,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2040]) ).

cnf(2043,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2041]) ).

cnf(2044,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2042]) ).

cnf(2045,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2043]) ).

cnf(2046,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,2044]) ).

cnf(2047,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,2045]) ).

cnf(2048,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2046]) ).

cnf(2049,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2047]) ).

cnf(2050,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2048]) ).

cnf(2051,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2049]) ).

cnf(2052,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2050]) ).

cnf(2053,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2051]) ).

cnf(2054,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2052]) ).

cnf(2055,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2053]) ).

cnf(2056,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2054]) ).

cnf(2057,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2055]) ).

cnf(2058,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2056]) ).

cnf(2059,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2057]) ).

cnf(2060,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2058]) ).

cnf(2061,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2059]) ).

cnf(2062,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,2060]) ).

cnf(2063,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,2061]) ).

cnf(2064,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2062]) ).

cnf(2065,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2063]) ).

cnf(2066,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2064]) ).

cnf(2067,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2065]) ).

cnf(2068,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2066]) ).

cnf(2069,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2067]) ).

cnf(2070,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2068]) ).

cnf(2071,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2069]) ).

cnf(2072,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2070]) ).

cnf(2073,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2071]) ).

cnf(2074,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2072]) ).

cnf(2075,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2073]) ).

cnf(2076,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2074]) ).

cnf(2077,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2075]) ).

cnf(2078,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[13,2076]) ).

cnf(2079,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[13,2077]) ).

cnf(2080,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2078]) ).

cnf(2081,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2079]) ).

cnf(2082,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2080]) ).

cnf(2083,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2081]) ).

cnf(2084,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2082]) ).

cnf(2085,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2083]) ).

cnf(2086,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2084]) ).

cnf(2087,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2085]) ).

cnf(2088,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2086]) ).

cnf(2089,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2087]) ).

cnf(2090,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2088]) ).

cnf(2091,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2089]) ).

cnf(2092,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2090]) ).

cnf(2093,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2091]) ).

cnf(2094,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,2092]) ).

cnf(2095,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,2093]) ).

cnf(2096,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2094]) ).

cnf(2097,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2095]) ).

cnf(2098,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2096]) ).

cnf(2099,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2097]) ).

cnf(2100,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2098]) ).

cnf(2101,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2099]) ).

cnf(2102,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2100]) ).

cnf(2103,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2101]) ).

cnf(2104,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2102]) ).

cnf(2105,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2103]) ).

cnf(2106,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2104]) ).

cnf(2107,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2105]) ).

cnf(2108,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2106]) ).

cnf(2109,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2107]) ).

cnf(2110,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,2108]) ).

cnf(2111,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,2109]) ).

cnf(2112,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2110]) ).

cnf(2113,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2111]) ).

cnf(2114,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2112]) ).

cnf(2115,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2113]) ).

cnf(2116,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2114]) ).

cnf(2117,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2115]) ).

cnf(2118,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2116]) ).

cnf(2119,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2117]) ).

cnf(2120,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2118]) ).

cnf(2121,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2119]) ).

cnf(2122,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2120]) ).

cnf(2123,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2121]) ).

cnf(2124,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2122]) ).

cnf(2125,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2123]) ).

cnf(2126,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,2124]) ).

cnf(2127,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,2125]) ).

cnf(2128,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2126]) ).

cnf(2129,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2127]) ).

cnf(2130,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2128]) ).

cnf(2131,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2129]) ).

cnf(2132,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2130]) ).

cnf(2133,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2131]) ).

cnf(2134,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2132]) ).

cnf(2135,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2133]) ).

cnf(2136,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2134]) ).

cnf(2137,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2135]) ).

cnf(2138,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2136]) ).

cnf(2139,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2137]) ).

cnf(2140,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2138]) ).

cnf(2141,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2139]) ).

cnf(2142,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,2140]) ).

cnf(2143,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,2141]) ).

cnf(2144,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2142]) ).

cnf(2145,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2143]) ).

cnf(2146,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2144]) ).

cnf(2147,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2145]) ).

cnf(2148,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2146]) ).

cnf(2149,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2147]) ).

cnf(2150,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2148]) ).

cnf(2151,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2149]) ).

cnf(2152,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2150]) ).

cnf(2153,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2151]) ).

cnf(2154,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2152]) ).

cnf(2155,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2153]) ).

cnf(2156,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2154]) ).

cnf(2157,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2155]) ).

cnf(2158,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,2156]) ).

cnf(2159,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,2157]) ).

cnf(2160,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2158]) ).

cnf(2161,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2159]) ).

cnf(2162,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2160]) ).

cnf(2163,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2161]) ).

cnf(2164,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2162]) ).

cnf(2165,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2163]) ).

cnf(2166,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2164]) ).

cnf(2167,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2165]) ).

cnf(2168,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2166]) ).

cnf(2169,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2167]) ).

cnf(2170,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2168]) ).

cnf(2171,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2169]) ).

cnf(2172,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2170]) ).

cnf(2173,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2171]) ).

cnf(2174,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,2172]) ).

cnf(2175,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,2173]) ).

cnf(2176,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2174]) ).

cnf(2177,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2175]) ).

cnf(2178,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2176]) ).

cnf(2179,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2177]) ).

cnf(2180,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2178]) ).

cnf(2181,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2179]) ).

cnf(2182,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2180]) ).

cnf(2183,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2181]) ).

cnf(2184,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2182]) ).

cnf(2185,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2183]) ).

cnf(2186,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2184]) ).

cnf(2187,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2185]) ).

cnf(2188,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2186]) ).

cnf(2189,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2187]) ).

cnf(2190,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,2188]) ).

cnf(2191,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,2189]) ).

cnf(2192,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2190]) ).

cnf(2193,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2191]) ).

cnf(2194,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2192]) ).

cnf(2195,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2193]) ).

cnf(2196,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2194]) ).

cnf(2197,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2195]) ).

cnf(2198,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2196]) ).

cnf(2199,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2197]) ).

cnf(2200,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2198]) ).

cnf(2201,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2199]) ).

cnf(2202,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2200]) ).

cnf(2203,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2201]) ).

cnf(2204,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2202]) ).

cnf(2205,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2203]) ).

cnf(2206,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,2204]) ).

cnf(2207,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,2205]) ).

cnf(2208,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2206]) ).

cnf(2209,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2207]) ).

cnf(2210,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2208]) ).

cnf(2211,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2209]) ).

cnf(2212,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2210]) ).

cnf(2213,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2211]) ).

cnf(2214,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2212]) ).

cnf(2215,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2213]) ).

cnf(2216,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2214]) ).

cnf(2217,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2215]) ).

cnf(2218,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2216]) ).

cnf(2219,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2217]) ).

cnf(2220,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2218]) ).

cnf(2221,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2219]) ).

cnf(2222,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,2220]) ).

cnf(2223,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,2221]) ).

cnf(2224,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2222]) ).

cnf(2225,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2223]) ).

cnf(2226,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2224]) ).

cnf(2227,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2225]) ).

cnf(2228,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2226]) ).

cnf(2229,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2227]) ).

cnf(2230,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2228]) ).

cnf(2231,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2229]) ).

cnf(2232,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2230]) ).

cnf(2233,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2231]) ).

cnf(2234,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2232]) ).

cnf(2235,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2233]) ).

cnf(2236,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2234]) ).

cnf(2237,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2235]) ).

cnf(2238,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,2236]) ).

cnf(2239,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,2237]) ).

cnf(2240,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2238]) ).

cnf(2241,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2239]) ).

cnf(2242,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2240]) ).

cnf(2243,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2241]) ).

cnf(2244,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2242]) ).

cnf(2245,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2243]) ).

cnf(2246,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2244]) ).

cnf(2247,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2245]) ).

cnf(2248,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2246]) ).

cnf(2249,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2247]) ).

cnf(2250,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2248]) ).

cnf(2251,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2249]) ).

cnf(2252,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2250]) ).

cnf(2253,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2251]) ).

cnf(2254,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,2252]) ).

cnf(2255,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,2253]) ).

cnf(2256,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2254]) ).

cnf(2257,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2255]) ).

cnf(2258,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2256]) ).

cnf(2259,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2257]) ).

cnf(2260,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2258]) ).

cnf(2261,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2259]) ).

cnf(2262,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2260]) ).

cnf(2263,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2261]) ).

cnf(2264,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2262]) ).

cnf(2265,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2263]) ).

cnf(2266,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2264]) ).

cnf(2267,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2265]) ).

cnf(2268,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2266]) ).

cnf(2269,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2267]) ).

cnf(2270,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,2268]) ).

cnf(2271,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,2269]) ).

cnf(2272,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2270]) ).

cnf(2273,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2271]) ).

cnf(2274,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2272]) ).

cnf(2275,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2273]) ).

cnf(2276,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2274]) ).

cnf(2277,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2275]) ).

cnf(2278,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2276]) ).

cnf(2279,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2277]) ).

cnf(2280,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2278]) ).

cnf(2281,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2279]) ).

cnf(2282,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2280]) ).

cnf(2283,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2281]) ).

cnf(2284,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2282]) ).

cnf(2285,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2283]) ).

cnf(2286,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,2284]) ).

cnf(2287,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,2285]) ).

cnf(2288,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2286]) ).

cnf(2289,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2287]) ).

cnf(2290,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2288]) ).

cnf(2291,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2289]) ).

cnf(2292,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2290]) ).

cnf(2293,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2291]) ).

cnf(2294,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2292]) ).

cnf(2295,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2293]) ).

cnf(2296,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2294]) ).

cnf(2297,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2295]) ).

cnf(2298,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2296]) ).

cnf(2299,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2297]) ).

cnf(2300,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2298]) ).

cnf(2301,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2299]) ).

cnf(2302,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,2300]) ).

cnf(2303,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,2301]) ).

cnf(2304,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2302]) ).

cnf(2305,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2303]) ).

cnf(2306,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2304]) ).

cnf(2307,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2305]) ).

cnf(2308,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2306]) ).

cnf(2309,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2307]) ).

cnf(2310,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2308]) ).

cnf(2311,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2309]) ).

cnf(2312,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2310]) ).

cnf(2313,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2311]) ).

cnf(2314,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2312]) ).

cnf(2315,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2313]) ).

cnf(2316,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2314]) ).

cnf(2317,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2315]) ).

cnf(2318,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,2316]) ).

cnf(2319,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,2317]) ).

cnf(2320,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2318]) ).

cnf(2321,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2319]) ).

cnf(2322,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2320]) ).

cnf(2323,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2321]) ).

cnf(2324,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2322]) ).

cnf(2325,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2323]) ).

cnf(2326,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2324]) ).

cnf(2327,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2325]) ).

cnf(2328,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2326]) ).

cnf(2329,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2327]) ).

cnf(2330,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2328]) ).

cnf(2331,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2329]) ).

cnf(2332,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2330]) ).

cnf(2333,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2331]) ).

cnf(2334,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,2332]) ).

cnf(2335,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,2333]) ).

cnf(2336,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2334]) ).

cnf(2337,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2335]) ).

cnf(2338,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2336]) ).

cnf(2339,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2337]) ).

cnf(2340,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2338]) ).

cnf(2341,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2339]) ).

cnf(2342,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2340]) ).

cnf(2343,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2341]) ).

cnf(2344,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2342]) ).

cnf(2345,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2343]) ).

cnf(2346,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2344]) ).

cnf(2347,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2345]) ).

cnf(2348,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2346]) ).

cnf(2349,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2347]) ).

cnf(2350,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,2348]) ).

cnf(2351,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,2349]) ).

cnf(2352,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2350]) ).

cnf(2353,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2351]) ).

cnf(2354,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2352]) ).

cnf(2355,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2353]) ).

cnf(2356,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2354]) ).

cnf(2357,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2355]) ).

cnf(2358,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2356]) ).

cnf(2359,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2357]) ).

cnf(2360,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2358]) ).

cnf(2361,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2359]) ).

cnf(2362,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2360]) ).

cnf(2363,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2361]) ).

cnf(2364,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2362]) ).

cnf(2365,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2363]) ).

cnf(2366,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,2364]) ).

cnf(2367,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,2365]) ).

cnf(2368,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2366]) ).

cnf(2369,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2367]) ).

cnf(2370,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2368]) ).

cnf(2371,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2369]) ).

cnf(2372,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2370]) ).

cnf(2373,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2371]) ).

cnf(2374,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2372]) ).

cnf(2375,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2373]) ).

cnf(2376,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2374]) ).

cnf(2377,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2375]) ).

cnf(2378,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2376]) ).

cnf(2379,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2377]) ).

cnf(2380,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2378]) ).

cnf(2381,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2379]) ).

cnf(2382,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,2380]) ).

cnf(2383,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,2381]) ).

cnf(2384,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2382]) ).

cnf(2385,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2383]) ).

cnf(2386,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2384]) ).

cnf(2387,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2385]) ).

cnf(2388,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2386]) ).

cnf(2389,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2387]) ).

cnf(2390,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2388]) ).

cnf(2391,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2389]) ).

cnf(2392,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2390]) ).

cnf(2393,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2391]) ).

cnf(2394,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2392]) ).

cnf(2395,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2393]) ).

cnf(2396,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2394]) ).

cnf(2397,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2395]) ).

cnf(2398,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,2396]) ).

cnf(2399,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,2397]) ).

cnf(2400,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2398]) ).

cnf(2401,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2399]) ).

cnf(2402,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2400]) ).

cnf(2403,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2401]) ).

cnf(2404,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2402]) ).

cnf(2405,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2403]) ).

cnf(2406,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2404]) ).

cnf(2407,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2405]) ).

cnf(2408,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2406]) ).

cnf(2409,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2407]) ).

cnf(2410,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2408]) ).

cnf(2411,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2409]) ).

cnf(2412,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2410]) ).

cnf(2413,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2411]) ).

cnf(2414,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,2412]) ).

cnf(2415,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,2413]) ).

cnf(2416,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2414]) ).

cnf(2417,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2415]) ).

cnf(2418,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2416]) ).

cnf(2419,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2417]) ).

cnf(2420,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2418]) ).

cnf(2421,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2419]) ).

cnf(2422,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2420]) ).

cnf(2423,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2421]) ).

cnf(2424,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2422]) ).

cnf(2425,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2423]) ).

cnf(2426,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2424]) ).

cnf(2427,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2425]) ).

cnf(2428,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2426]) ).

cnf(2429,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2427]) ).

cnf(2430,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,2428]) ).

cnf(2431,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,2429]) ).

cnf(2432,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2430]) ).

cnf(2433,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2431]) ).

cnf(2434,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2432]) ).

cnf(2435,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2433]) ).

cnf(2436,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2434]) ).

cnf(2437,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2435]) ).

cnf(2438,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2436]) ).

cnf(2439,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2437]) ).

cnf(2440,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2438]) ).

cnf(2441,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2439]) ).

cnf(2442,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2440]) ).

cnf(2443,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2441]) ).

cnf(2444,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2442]) ).

cnf(2445,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2443]) ).

cnf(2446,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,2444]) ).

cnf(2447,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,2445]) ).

cnf(2448,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2446]) ).

cnf(2449,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2447]) ).

cnf(2450,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2448]) ).

cnf(2451,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2449]) ).

cnf(2452,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2450]) ).

cnf(2453,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2451]) ).

cnf(2454,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2452]) ).

cnf(2455,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2453]) ).

cnf(2456,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2454]) ).

cnf(2457,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2455]) ).

cnf(2458,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2456]) ).

cnf(2459,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2457]) ).

cnf(2460,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2458]) ).

cnf(2461,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2459]) ).

cnf(2462,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,2460]) ).

cnf(2463,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,2461]) ).

cnf(2464,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2462]) ).

cnf(2465,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2463]) ).

cnf(2466,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2464]) ).

cnf(2467,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2465]) ).

cnf(2468,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2466]) ).

cnf(2469,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2467]) ).

cnf(2470,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2468]) ).

cnf(2471,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2469]) ).

cnf(2472,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2470]) ).

cnf(2473,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2471]) ).

cnf(2474,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2472]) ).

cnf(2475,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2473]) ).

cnf(2476,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2474]) ).

cnf(2477,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2475]) ).

cnf(2478,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,2476]) ).

cnf(2479,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,2477]) ).

cnf(2480,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2478]) ).

cnf(2481,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2479]) ).

cnf(2482,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2480]) ).

cnf(2483,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2481]) ).

cnf(2484,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2482]) ).

cnf(2485,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2483]) ).

cnf(2486,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2484]) ).

cnf(2487,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2485]) ).

cnf(2488,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2486]) ).

cnf(2489,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2487]) ).

cnf(2490,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2488]) ).

cnf(2491,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2489]) ).

cnf(2492,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2490]) ).

cnf(2493,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2491]) ).

cnf(2494,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,2492]) ).

cnf(2495,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,2493]) ).

cnf(2496,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2494]) ).

cnf(2497,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2495]) ).

cnf(2498,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2496]) ).

cnf(2499,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2497]) ).

cnf(2500,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2498]) ).

cnf(2501,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2499]) ).

cnf(2502,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2500]) ).

cnf(2503,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2501]) ).

cnf(2504,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2502]) ).

cnf(2505,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2503]) ).

cnf(2506,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2504]) ).

cnf(2507,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2505]) ).

cnf(2508,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2506]) ).

cnf(2509,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2507]) ).

cnf(2510,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,2508]) ).

cnf(2511,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,2509]) ).

cnf(2512,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2510]) ).

cnf(2513,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2511]) ).

cnf(2514,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2512]) ).

cnf(2515,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2513]) ).

cnf(2516,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2514]) ).

cnf(2517,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2515]) ).

cnf(2518,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2516]) ).

cnf(2519,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2517]) ).

cnf(2520,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2518]) ).

cnf(2521,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2519]) ).

cnf(2522,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2520]) ).

cnf(2523,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2521]) ).

cnf(2524,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2522]) ).

cnf(2525,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2523]) ).

cnf(2526,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,2524]) ).

cnf(2527,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,2525]) ).

cnf(2528,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2526]) ).

cnf(2529,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2527]) ).

cnf(2530,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2528]) ).

cnf(2531,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2529]) ).

cnf(2532,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2530]) ).

cnf(2533,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2531]) ).

cnf(2534,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2532]) ).

cnf(2535,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2533]) ).

cnf(2536,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2534]) ).

cnf(2537,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2535]) ).

cnf(2538,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2536]) ).

cnf(2539,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2537]) ).

cnf(2540,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2538]) ).

cnf(2541,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2539]) ).

cnf(2542,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,2540]) ).

cnf(2543,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,2541]) ).

cnf(2544,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2542]) ).

cnf(2545,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2543]) ).

cnf(2546,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2544]) ).

cnf(2547,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2545]) ).

cnf(2548,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2546]) ).

cnf(2549,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2547]) ).

cnf(2550,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2548]) ).

cnf(2551,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2549]) ).

cnf(2552,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2550]) ).

cnf(2553,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2551]) ).

cnf(2554,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2552]) ).

cnf(2555,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2553]) ).

cnf(2556,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2554]) ).

cnf(2557,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2555]) ).

cnf(2558,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,2556]) ).

cnf(2559,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,2557]) ).

cnf(2560,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2558]) ).

cnf(2561,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2559]) ).

cnf(2562,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2560]) ).

cnf(2563,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2561]) ).

cnf(2564,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2562]) ).

cnf(2565,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2563]) ).

cnf(2566,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2564]) ).

cnf(2567,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2565]) ).

cnf(2568,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2566]) ).

cnf(2569,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2567]) ).

cnf(2570,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2568]) ).

cnf(2571,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2569]) ).

cnf(2572,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2570]) ).

cnf(2573,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2571]) ).

cnf(2574,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,2572]) ).

cnf(2575,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,2573]) ).

cnf(2576,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2574]) ).

cnf(2577,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2575]) ).

cnf(2578,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2576]) ).

cnf(2579,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2577]) ).

cnf(2580,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2578]) ).

cnf(2581,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2579]) ).

cnf(2582,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2580]) ).

cnf(2583,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2581]) ).

cnf(2584,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2582]) ).

cnf(2585,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2583]) ).

cnf(2586,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2584]) ).

cnf(2587,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2585]) ).

cnf(2588,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2586]) ).

cnf(2589,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2587]) ).

cnf(2590,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[11,2588]) ).

cnf(2591,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[11,2589]) ).

cnf(2592,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2590]) ).

cnf(2593,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2591]) ).

cnf(2594,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2592]) ).

cnf(2595,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2593]) ).

cnf(2596,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2594]) ).

cnf(2597,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2595]) ).

cnf(2598,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2596]) ).

cnf(2599,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2597]) ).

cnf(2600,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2598]) ).

cnf(2601,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2599]) ).

cnf(2602,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2600]) ).

cnf(2603,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2601]) ).

cnf(2604,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2602]) ).

cnf(2605,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2603]) ).

cnf(2606,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,2604]) ).

cnf(2607,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,2605]) ).

cnf(2608,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2606]) ).

cnf(2609,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2607]) ).

cnf(2610,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2608]) ).

cnf(2611,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2609]) ).

cnf(2612,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2610]) ).

cnf(2613,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2611]) ).

cnf(2614,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2612]) ).

cnf(2615,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2613]) ).

cnf(2616,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2614]) ).

cnf(2617,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2615]) ).

cnf(2618,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2616]) ).

cnf(2619,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2617]) ).

cnf(2620,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2618]) ).

cnf(2621,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2619]) ).

cnf(2622,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,2620]) ).

cnf(2623,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,2621]) ).

cnf(2624,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2622]) ).

cnf(2625,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2623]) ).

cnf(2626,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2624]) ).

cnf(2627,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2625]) ).

cnf(2628,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2626]) ).

cnf(2629,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2627]) ).

cnf(2630,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2628]) ).

cnf(2631,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2629]) ).

cnf(2632,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2630]) ).

cnf(2633,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2631]) ).

cnf(2634,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2632]) ).

cnf(2635,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2633]) ).

cnf(2636,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2634]) ).

cnf(2637,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2635]) ).

cnf(2638,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,2636]) ).

cnf(2639,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,2637]) ).

cnf(2640,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2638]) ).

cnf(2641,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2639]) ).

cnf(2642,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2640]) ).

cnf(2643,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2641]) ).

cnf(2644,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2642]) ).

cnf(2645,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2643]) ).

cnf(2646,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2644]) ).

cnf(2647,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2645]) ).

cnf(2648,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2646]) ).

cnf(2649,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2647]) ).

cnf(2650,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2648]) ).

cnf(2651,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2649]) ).

cnf(2652,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2650]) ).

cnf(2653,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2651]) ).

cnf(2654,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,2652]) ).

cnf(2655,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,2653]) ).

cnf(2656,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2654]) ).

cnf(2657,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2655]) ).

cnf(2658,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2656]) ).

cnf(2659,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2657]) ).

cnf(2660,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2658]) ).

cnf(2661,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2659]) ).

cnf(2662,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2660]) ).

cnf(2663,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2661]) ).

cnf(2664,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2662]) ).

cnf(2665,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2663]) ).

cnf(2666,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2664]) ).

cnf(2667,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2665]) ).

cnf(2668,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2666]) ).

cnf(2669,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2667]) ).

cnf(2670,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,2668]) ).

cnf(2671,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,2669]) ).

cnf(2672,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2670]) ).

cnf(2673,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2671]) ).

cnf(2674,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2672]) ).

cnf(2675,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2673]) ).

cnf(2676,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2674]) ).

cnf(2677,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2675]) ).

cnf(2678,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2676]) ).

cnf(2679,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2677]) ).

cnf(2680,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2678]) ).

cnf(2681,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2679]) ).

cnf(2682,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2680]) ).

cnf(2683,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2681]) ).

cnf(2684,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2682]) ).

cnf(2685,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2683]) ).

cnf(2686,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,2684]) ).

cnf(2687,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,2685]) ).

cnf(2688,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2686]) ).

cnf(2689,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2687]) ).

cnf(2690,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2688]) ).

cnf(2691,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2689]) ).

cnf(2692,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2690]) ).

cnf(2693,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2691]) ).

cnf(2694,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2692]) ).

cnf(2695,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2693]) ).

cnf(2696,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2694]) ).

cnf(2697,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2695]) ).

cnf(2698,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2696]) ).

cnf(2699,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2697]) ).

cnf(2700,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2698]) ).

cnf(2701,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2699]) ).

cnf(2702,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,2700]) ).

cnf(2703,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,2701]) ).

cnf(2704,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2702]) ).

cnf(2705,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2703]) ).

cnf(2706,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2704]) ).

cnf(2707,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2705]) ).

cnf(2708,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2706]) ).

cnf(2709,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2707]) ).

cnf(2710,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2708]) ).

cnf(2711,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2709]) ).

cnf(2712,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2710]) ).

cnf(2713,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2711]) ).

cnf(2714,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2712]) ).

cnf(2715,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2713]) ).

cnf(2716,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2714]) ).

cnf(2717,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2715]) ).

cnf(2718,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,2716]) ).

cnf(2719,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,2717]) ).

cnf(2720,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2718]) ).

cnf(2721,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2719]) ).

cnf(2722,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2720]) ).

cnf(2723,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2721]) ).

cnf(2724,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2722]) ).

cnf(2725,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2723]) ).

cnf(2726,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2724]) ).

cnf(2727,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2725]) ).

cnf(2728,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2726]) ).

cnf(2729,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2727]) ).

cnf(2730,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2728]) ).

cnf(2731,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2729]) ).

cnf(2732,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2730]) ).

cnf(2733,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2731]) ).

cnf(2734,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,2732]) ).

cnf(2735,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,2733]) ).

cnf(2736,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2734]) ).

cnf(2737,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2735]) ).

cnf(2738,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2736]) ).

cnf(2739,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2737]) ).

cnf(2740,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2738]) ).

cnf(2741,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2739]) ).

cnf(2742,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2740]) ).

cnf(2743,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2741]) ).

cnf(2744,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2742]) ).

cnf(2745,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2743]) ).

cnf(2746,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2744]) ).

cnf(2747,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2745]) ).

cnf(2748,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2746]) ).

cnf(2749,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2747]) ).

cnf(2750,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,2748]) ).

cnf(2751,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,2749]) ).

cnf(2752,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2750]) ).

cnf(2753,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2751]) ).

cnf(2754,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2752]) ).

cnf(2755,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2753]) ).

cnf(2756,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2754]) ).

cnf(2757,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2755]) ).

cnf(2758,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2756]) ).

cnf(2759,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2757]) ).

cnf(2760,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2758]) ).

cnf(2761,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2759]) ).

cnf(2762,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2760]) ).

cnf(2763,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2761]) ).

cnf(2764,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2762]) ).

cnf(2765,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2763]) ).

cnf(2766,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,2764]) ).

cnf(2767,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,2765]) ).

cnf(2768,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2766]) ).

cnf(2769,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2767]) ).

cnf(2770,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2768]) ).

cnf(2771,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2769]) ).

cnf(2772,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2770]) ).

cnf(2773,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2771]) ).

cnf(2774,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2772]) ).

cnf(2775,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2773]) ).

cnf(2776,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2774]) ).

cnf(2777,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2775]) ).

cnf(2778,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2776]) ).

cnf(2779,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2777]) ).

cnf(2780,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2778]) ).

cnf(2781,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2779]) ).

cnf(2782,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,2780]) ).

cnf(2783,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,2781]) ).

cnf(2784,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2782]) ).

cnf(2785,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2783]) ).

cnf(2786,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2784]) ).

cnf(2787,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2785]) ).

cnf(2788,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2786]) ).

cnf(2789,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2787]) ).

cnf(2790,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2788]) ).

cnf(2791,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2789]) ).

cnf(2792,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2790]) ).

cnf(2793,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2791]) ).

cnf(2794,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2792]) ).

cnf(2795,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2793]) ).

cnf(2796,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2794]) ).

cnf(2797,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2795]) ).

cnf(2798,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,2796]) ).

cnf(2799,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,2797]) ).

cnf(2800,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2798]) ).

cnf(2801,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2799]) ).

cnf(2802,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2800]) ).

cnf(2803,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2801]) ).

cnf(2804,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2802]) ).

cnf(2805,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2803]) ).

cnf(2806,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2804]) ).

cnf(2807,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2805]) ).

cnf(2808,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2806]) ).

cnf(2809,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2807]) ).

cnf(2810,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2808]) ).

cnf(2811,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2809]) ).

cnf(2812,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2810]) ).

cnf(2813,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2811]) ).

cnf(2814,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,2812]) ).

cnf(2815,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,2813]) ).

cnf(2816,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2814]) ).

cnf(2817,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2815]) ).

cnf(2818,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2816]) ).

cnf(2819,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2817]) ).

cnf(2820,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2818]) ).

cnf(2821,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2819]) ).

cnf(2822,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2820]) ).

cnf(2823,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2821]) ).

cnf(2824,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2822]) ).

cnf(2825,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2823]) ).

cnf(2826,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2824]) ).

cnf(2827,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2825]) ).

cnf(2828,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2826]) ).

cnf(2829,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2827]) ).

cnf(2830,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,2828]) ).

cnf(2831,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,2829]) ).

cnf(2832,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2830]) ).

cnf(2833,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2831]) ).

cnf(2834,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2832]) ).

cnf(2835,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2833]) ).

cnf(2836,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2834]) ).

cnf(2837,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2835]) ).

cnf(2838,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2836]) ).

cnf(2839,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2837]) ).

cnf(2840,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2838]) ).

cnf(2841,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2839]) ).

cnf(2842,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2840]) ).

cnf(2843,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2841]) ).

cnf(2844,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2842]) ).

cnf(2845,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2843]) ).

cnf(2846,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,2844]) ).

cnf(2847,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,2845]) ).

cnf(2848,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2846]) ).

cnf(2849,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2847]) ).

cnf(2850,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2848]) ).

cnf(2851,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2849]) ).

cnf(2852,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2850]) ).

cnf(2853,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2851]) ).

cnf(2854,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2852]) ).

cnf(2855,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2853]) ).

cnf(2856,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2854]) ).

cnf(2857,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2855]) ).

cnf(2858,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2856]) ).

cnf(2859,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2857]) ).

cnf(2860,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2858]) ).

cnf(2861,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2859]) ).

cnf(2862,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,2860]) ).

cnf(2863,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,2861]) ).

cnf(2864,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2862]) ).

cnf(2865,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2863]) ).

cnf(2866,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2864]) ).

cnf(2867,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2865]) ).

cnf(2868,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2866]) ).

cnf(2869,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2867]) ).

cnf(2870,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2868]) ).

cnf(2871,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2869]) ).

cnf(2872,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2870]) ).

cnf(2873,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2871]) ).

cnf(2874,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2872]) ).

cnf(2875,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2873]) ).

cnf(2876,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2874]) ).

cnf(2877,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2875]) ).

cnf(2878,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,2876]) ).

cnf(2879,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,2877]) ).

cnf(2880,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2878]) ).

cnf(2881,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2879]) ).

cnf(2882,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2880]) ).

cnf(2883,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2881]) ).

cnf(2884,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2882]) ).

cnf(2885,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2883]) ).

cnf(2886,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2884]) ).

cnf(2887,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2885]) ).

cnf(2888,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2886]) ).

cnf(2889,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2887]) ).

cnf(2890,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2888]) ).

cnf(2891,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2889]) ).

cnf(2892,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2890]) ).

cnf(2893,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2891]) ).

cnf(2894,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,2892]) ).

cnf(2895,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,2893]) ).

cnf(2896,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2894]) ).

cnf(2897,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2895]) ).

cnf(2898,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2896]) ).

cnf(2899,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2897]) ).

cnf(2900,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2898]) ).

cnf(2901,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2899]) ).

cnf(2902,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2900]) ).

cnf(2903,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2901]) ).

cnf(2904,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2902]) ).

cnf(2905,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2903]) ).

cnf(2906,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2904]) ).

cnf(2907,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2905]) ).

cnf(2908,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2906]) ).

cnf(2909,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2907]) ).

cnf(2910,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,2908]) ).

cnf(2911,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,2909]) ).

cnf(2912,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2910]) ).

cnf(2913,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2911]) ).

cnf(2914,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2912]) ).

cnf(2915,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2913]) ).

cnf(2916,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2914]) ).

cnf(2917,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2915]) ).

cnf(2918,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2916]) ).

cnf(2919,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2917]) ).

cnf(2920,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2918]) ).

cnf(2921,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2919]) ).

cnf(2922,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2920]) ).

cnf(2923,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2921]) ).

cnf(2924,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2922]) ).

cnf(2925,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2923]) ).

cnf(2926,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,2924]) ).

cnf(2927,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,2925]) ).

cnf(2928,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2926]) ).

cnf(2929,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2927]) ).

cnf(2930,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2928]) ).

cnf(2931,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2929]) ).

cnf(2932,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2930]) ).

cnf(2933,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2931]) ).

cnf(2934,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2932]) ).

cnf(2935,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2933]) ).

cnf(2936,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2934]) ).

cnf(2937,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2935]) ).

cnf(2938,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2936]) ).

cnf(2939,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2937]) ).

cnf(2940,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2938]) ).

cnf(2941,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2939]) ).

cnf(2942,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,2940]) ).

cnf(2943,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,2941]) ).

cnf(2944,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2942]) ).

cnf(2945,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2943]) ).

cnf(2946,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2944]) ).

cnf(2947,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2945]) ).

cnf(2948,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2946]) ).

cnf(2949,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2947]) ).

cnf(2950,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2948]) ).

cnf(2951,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2949]) ).

cnf(2952,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2950]) ).

cnf(2953,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2951]) ).

cnf(2954,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2952]) ).

cnf(2955,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2953]) ).

cnf(2956,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2954]) ).

cnf(2957,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2955]) ).

cnf(2958,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,2956]) ).

cnf(2959,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,2957]) ).

cnf(2960,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2958]) ).

cnf(2961,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2959]) ).

cnf(2962,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2960]) ).

cnf(2963,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2961]) ).

cnf(2964,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2962]) ).

cnf(2965,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2963]) ).

cnf(2966,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2964]) ).

cnf(2967,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2965]) ).

cnf(2968,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2966]) ).

cnf(2969,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2967]) ).

cnf(2970,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2968]) ).

cnf(2971,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2969]) ).

cnf(2972,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2970]) ).

cnf(2973,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2971]) ).

cnf(2974,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,2972]) ).

cnf(2975,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,2973]) ).

cnf(2976,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2974]) ).

cnf(2977,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2975]) ).

cnf(2978,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2976]) ).

cnf(2979,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2977]) ).

cnf(2980,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2978]) ).

cnf(2981,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2979]) ).

cnf(2982,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2980]) ).

cnf(2983,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2981]) ).

cnf(2984,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2982]) ).

cnf(2985,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2983]) ).

cnf(2986,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2984]) ).

cnf(2987,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2985]) ).

cnf(2988,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2986]) ).

cnf(2989,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2987]) ).

cnf(2990,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,2988]) ).

cnf(2991,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,2989]) ).

cnf(2992,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2990]) ).

cnf(2993,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2991]) ).

cnf(2994,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,2992]) ).

cnf(2995,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,2993]) ).

cnf(2996,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2994]) ).

cnf(2997,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2995]) ).

cnf(2998,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,2996]) ).

cnf(2999,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,2997]) ).

cnf(3000,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,2998]) ).

cnf(3001,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,2999]) ).

cnf(3002,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3000]) ).

cnf(3003,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3001]) ).

cnf(3004,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3002]) ).

cnf(3005,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3003]) ).

cnf(3006,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,3004]) ).

cnf(3007,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,3005]) ).

cnf(3008,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3006]) ).

cnf(3009,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3007]) ).

cnf(3010,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3008]) ).

cnf(3011,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3009]) ).

cnf(3012,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3010]) ).

cnf(3013,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3011]) ).

cnf(3014,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3012]) ).

cnf(3015,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3013]) ).

cnf(3016,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3014]) ).

cnf(3017,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3015]) ).

cnf(3018,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3016]) ).

cnf(3019,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3017]) ).

cnf(3020,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3018]) ).

cnf(3021,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3019]) ).

cnf(3022,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,3020]) ).

cnf(3023,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,3021]) ).

cnf(3024,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3022]) ).

cnf(3025,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3023]) ).

cnf(3026,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3024]) ).

cnf(3027,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3025]) ).

cnf(3028,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3026]) ).

cnf(3029,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3027]) ).

cnf(3030,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3028]) ).

cnf(3031,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3029]) ).

cnf(3032,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3030]) ).

cnf(3033,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3031]) ).

cnf(3034,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3032]) ).

cnf(3035,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3033]) ).

cnf(3036,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3034]) ).

cnf(3037,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3035]) ).

cnf(3038,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,3036]) ).

cnf(3039,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,3037]) ).

cnf(3040,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3038]) ).

cnf(3041,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3039]) ).

cnf(3042,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3040]) ).

cnf(3043,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3041]) ).

cnf(3044,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3042]) ).

cnf(3045,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3043]) ).

cnf(3046,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3044]) ).

cnf(3047,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3045]) ).

cnf(3048,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3046]) ).

cnf(3049,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3047]) ).

cnf(3050,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3048]) ).

cnf(3051,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3049]) ).

cnf(3052,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3050]) ).

cnf(3053,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3051]) ).

cnf(3054,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,3052]) ).

cnf(3055,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,3053]) ).

cnf(3056,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3054]) ).

cnf(3057,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3055]) ).

cnf(3058,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3056]) ).

cnf(3059,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3057]) ).

cnf(3060,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3058]) ).

cnf(3061,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3059]) ).

cnf(3062,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3060]) ).

cnf(3063,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3061]) ).

cnf(3064,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3062]) ).

cnf(3065,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3063]) ).

cnf(3066,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3064]) ).

cnf(3067,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3065]) ).

cnf(3068,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3066]) ).

cnf(3069,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3067]) ).

cnf(3070,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,3068]) ).

cnf(3071,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,3069]) ).

cnf(3072,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3070]) ).

cnf(3073,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3071]) ).

cnf(3074,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3072]) ).

cnf(3075,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3073]) ).

cnf(3076,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3074]) ).

cnf(3077,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3075]) ).

cnf(3078,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3076]) ).

cnf(3079,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3077]) ).

cnf(3080,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3078]) ).

cnf(3081,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3079]) ).

cnf(3082,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3080]) ).

cnf(3083,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3081]) ).

cnf(3084,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3082]) ).

cnf(3085,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3083]) ).

cnf(3086,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,3084]) ).

cnf(3087,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,3085]) ).

cnf(3088,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3086]) ).

cnf(3089,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3087]) ).

cnf(3090,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3088]) ).

cnf(3091,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3089]) ).

cnf(3092,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3090]) ).

cnf(3093,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3091]) ).

cnf(3094,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3092]) ).

cnf(3095,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3093]) ).

cnf(3096,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3094]) ).

cnf(3097,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3095]) ).

cnf(3098,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3096]) ).

cnf(3099,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3097]) ).

cnf(3100,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3098]) ).

cnf(3101,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3099]) ).

cnf(3102,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[12,3100]) ).

cnf(3103,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[12,3101]) ).

cnf(3104,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3102]) ).

cnf(3105,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3103]) ).

cnf(3106,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3104]) ).

cnf(3107,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3105]) ).

cnf(3108,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3106]) ).

cnf(3109,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3107]) ).

cnf(3110,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3108]) ).

cnf(3111,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3109]) ).

cnf(3112,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3110]) ).

cnf(3113,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3111]) ).

cnf(3114,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3112]) ).

cnf(3115,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3113]) ).

cnf(3116,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3114]) ).

cnf(3117,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3115]) ).

cnf(3118,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,3116]) ).

cnf(3119,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,3117]) ).

cnf(3120,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3118]) ).

cnf(3121,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3119]) ).

cnf(3122,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3120]) ).

cnf(3123,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3121]) ).

cnf(3124,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3122]) ).

cnf(3125,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3123]) ).

cnf(3126,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3124]) ).

cnf(3127,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3125]) ).

cnf(3128,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3126]) ).

cnf(3129,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3127]) ).

cnf(3130,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3128]) ).

cnf(3131,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3129]) ).

cnf(3132,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3130]) ).

cnf(3133,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3131]) ).

cnf(3134,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,3132]) ).

cnf(3135,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,3133]) ).

cnf(3136,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3134]) ).

cnf(3137,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3135]) ).

cnf(3138,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3136]) ).

cnf(3139,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3137]) ).

cnf(3140,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3138]) ).

cnf(3141,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3139]) ).

cnf(3142,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3140]) ).

cnf(3143,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3141]) ).

cnf(3144,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3142]) ).

cnf(3145,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3143]) ).

cnf(3146,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3144]) ).

cnf(3147,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3145]) ).

cnf(3148,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3146]) ).

cnf(3149,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3147]) ).

cnf(3150,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,3148]) ).

cnf(3151,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,3149]) ).

cnf(3152,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3150]) ).

cnf(3153,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3151]) ).

cnf(3154,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3152]) ).

cnf(3155,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3153]) ).

cnf(3156,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3154]) ).

cnf(3157,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3155]) ).

cnf(3158,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3156]) ).

cnf(3159,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3157]) ).

cnf(3160,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3158]) ).

cnf(3161,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3159]) ).

cnf(3162,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3160]) ).

cnf(3163,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3161]) ).

cnf(3164,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3162]) ).

cnf(3165,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3163]) ).

cnf(3166,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,3164]) ).

cnf(3167,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,3165]) ).

cnf(3168,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3166]) ).

cnf(3169,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3167]) ).

cnf(3170,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3168]) ).

cnf(3171,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3169]) ).

cnf(3172,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3170]) ).

cnf(3173,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3171]) ).

cnf(3174,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3172]) ).

cnf(3175,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3173]) ).

cnf(3176,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3174]) ).

cnf(3177,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3175]) ).

cnf(3178,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3176]) ).

cnf(3179,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3177]) ).

cnf(3180,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3178]) ).

cnf(3181,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3179]) ).

cnf(3182,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,3180]) ).

cnf(3183,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,3181]) ).

cnf(3184,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3182]) ).

cnf(3185,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3183]) ).

cnf(3186,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3184]) ).

cnf(3187,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3185]) ).

cnf(3188,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3186]) ).

cnf(3189,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3187]) ).

cnf(3190,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3188]) ).

cnf(3191,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3189]) ).

cnf(3192,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3190]) ).

cnf(3193,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3191]) ).

cnf(3194,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3192]) ).

cnf(3195,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3193]) ).

cnf(3196,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3194]) ).

cnf(3197,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3195]) ).

cnf(3198,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,3196]) ).

cnf(3199,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,3197]) ).

cnf(3200,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3198]) ).

cnf(3201,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3199]) ).

cnf(3202,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3200]) ).

cnf(3203,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3201]) ).

cnf(3204,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3202]) ).

cnf(3205,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3203]) ).

cnf(3206,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3204]) ).

cnf(3207,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3205]) ).

cnf(3208,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3206]) ).

cnf(3209,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3207]) ).

cnf(3210,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3208]) ).

cnf(3211,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3209]) ).

cnf(3212,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3210]) ).

cnf(3213,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3211]) ).

cnf(3214,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,3212]) ).

cnf(3215,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,3213]) ).

cnf(3216,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3214]) ).

cnf(3217,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3215]) ).

cnf(3218,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3216]) ).

cnf(3219,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3217]) ).

cnf(3220,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3218]) ).

cnf(3221,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3219]) ).

cnf(3222,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3220]) ).

cnf(3223,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3221]) ).

cnf(3224,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3222]) ).

cnf(3225,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3223]) ).

cnf(3226,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3224]) ).

cnf(3227,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3225]) ).

cnf(3228,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3226]) ).

cnf(3229,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3227]) ).

cnf(3230,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,3228]) ).

cnf(3231,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,3229]) ).

cnf(3232,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3230]) ).

cnf(3233,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3231]) ).

cnf(3234,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3232]) ).

cnf(3235,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3233]) ).

cnf(3236,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3234]) ).

cnf(3237,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3235]) ).

cnf(3238,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3236]) ).

cnf(3239,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3237]) ).

cnf(3240,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3238]) ).

cnf(3241,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3239]) ).

cnf(3242,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3240]) ).

cnf(3243,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3241]) ).

cnf(3244,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3242]) ).

cnf(3245,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3243]) ).

cnf(3246,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,3244]) ).

cnf(3247,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,3245]) ).

cnf(3248,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3246]) ).

cnf(3249,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3247]) ).

cnf(3250,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3248]) ).

cnf(3251,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3249]) ).

cnf(3252,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3250]) ).

cnf(3253,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3251]) ).

cnf(3254,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3252]) ).

cnf(3255,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3253]) ).

cnf(3256,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3254]) ).

cnf(3257,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3255]) ).

cnf(3258,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3256]) ).

cnf(3259,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3257]) ).

cnf(3260,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3258]) ).

cnf(3261,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3259]) ).

cnf(3262,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,3260]) ).

cnf(3263,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,3261]) ).

cnf(3264,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3262]) ).

cnf(3265,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3263]) ).

cnf(3266,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3264]) ).

cnf(3267,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3265]) ).

cnf(3268,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3266]) ).

cnf(3269,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3267]) ).

cnf(3270,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3268]) ).

cnf(3271,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3269]) ).

cnf(3272,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3270]) ).

cnf(3273,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3271]) ).

cnf(3274,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3272]) ).

cnf(3275,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3273]) ).

cnf(3276,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3274]) ).

cnf(3277,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3275]) ).

cnf(3278,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,3276]) ).

cnf(3279,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,3277]) ).

cnf(3280,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3278]) ).

cnf(3281,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3279]) ).

cnf(3282,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3280]) ).

cnf(3283,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3281]) ).

cnf(3284,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3282]) ).

cnf(3285,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3283]) ).

cnf(3286,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3284]) ).

cnf(3287,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3285]) ).

cnf(3288,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3286]) ).

cnf(3289,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3287]) ).

cnf(3290,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3288]) ).

cnf(3291,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3289]) ).

cnf(3292,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3290]) ).

cnf(3293,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3291]) ).

cnf(3294,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,3292]) ).

cnf(3295,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,3293]) ).

cnf(3296,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3294]) ).

cnf(3297,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3295]) ).

cnf(3298,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3296]) ).

cnf(3299,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3297]) ).

cnf(3300,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3298]) ).

cnf(3301,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3299]) ).

cnf(3302,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3300]) ).

cnf(3303,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3301]) ).

cnf(3304,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3302]) ).

cnf(3305,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3303]) ).

cnf(3306,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3304]) ).

cnf(3307,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3305]) ).

cnf(3308,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3306]) ).

cnf(3309,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3307]) ).

cnf(3310,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,3308]) ).

cnf(3311,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,3309]) ).

cnf(3312,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3310]) ).

cnf(3313,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3311]) ).

cnf(3314,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3312]) ).

cnf(3315,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3313]) ).

cnf(3316,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3314]) ).

cnf(3317,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3315]) ).

cnf(3318,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3316]) ).

cnf(3319,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3317]) ).

cnf(3320,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3318]) ).

cnf(3321,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3319]) ).

cnf(3322,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3320]) ).

cnf(3323,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3321]) ).

cnf(3324,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3322]) ).

cnf(3325,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3323]) ).

cnf(3326,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,3324]) ).

cnf(3327,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,3325]) ).

cnf(3328,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3326]) ).

cnf(3329,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3327]) ).

cnf(3330,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3328]) ).

cnf(3331,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3329]) ).

cnf(3332,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3330]) ).

cnf(3333,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3331]) ).

cnf(3334,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3332]) ).

cnf(3335,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3333]) ).

cnf(3336,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3334]) ).

cnf(3337,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3335]) ).

cnf(3338,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3336]) ).

cnf(3339,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3337]) ).

cnf(3340,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3338]) ).

cnf(3341,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3339]) ).

cnf(3342,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,3340]) ).

cnf(3343,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,3341]) ).

cnf(3344,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3342]) ).

cnf(3345,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3343]) ).

cnf(3346,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3344]) ).

cnf(3347,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3345]) ).

cnf(3348,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3346]) ).

cnf(3349,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3347]) ).

cnf(3350,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3348]) ).

cnf(3351,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3349]) ).

cnf(3352,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3350]) ).

cnf(3353,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3351]) ).

cnf(3354,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3352]) ).

cnf(3355,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3353]) ).

cnf(3356,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3354]) ).

cnf(3357,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3355]) ).

cnf(3358,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,3356]) ).

cnf(3359,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,3357]) ).

cnf(3360,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3358]) ).

cnf(3361,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3359]) ).

cnf(3362,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3360]) ).

cnf(3363,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3361]) ).

cnf(3364,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3362]) ).

cnf(3365,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3363]) ).

cnf(3366,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3364]) ).

cnf(3367,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3365]) ).

cnf(3368,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3366]) ).

cnf(3369,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3367]) ).

cnf(3370,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3368]) ).

cnf(3371,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3369]) ).

cnf(3372,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3370]) ).

cnf(3373,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3371]) ).

cnf(3374,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,3372]) ).

cnf(3375,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,3373]) ).

cnf(3376,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3374]) ).

cnf(3377,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3375]) ).

cnf(3378,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3376]) ).

cnf(3379,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3377]) ).

cnf(3380,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3378]) ).

cnf(3381,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3379]) ).

cnf(3382,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3380]) ).

cnf(3383,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3381]) ).

cnf(3384,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3382]) ).

cnf(3385,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3383]) ).

cnf(3386,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3384]) ).

cnf(3387,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3385]) ).

cnf(3388,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3386]) ).

cnf(3389,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3387]) ).

cnf(3390,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,3388]) ).

cnf(3391,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,3389]) ).

cnf(3392,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3390]) ).

cnf(3393,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3391]) ).

cnf(3394,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3392]) ).

cnf(3395,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3393]) ).

cnf(3396,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3394]) ).

cnf(3397,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3395]) ).

cnf(3398,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3396]) ).

cnf(3399,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3397]) ).

cnf(3400,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3398]) ).

cnf(3401,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3399]) ).

cnf(3402,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3400]) ).

cnf(3403,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3401]) ).

cnf(3404,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3402]) ).

cnf(3405,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3403]) ).

cnf(3406,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,3404]) ).

cnf(3407,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,3405]) ).

cnf(3408,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3406]) ).

cnf(3409,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3407]) ).

cnf(3410,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3408]) ).

cnf(3411,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3409]) ).

cnf(3412,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3410]) ).

cnf(3413,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3411]) ).

cnf(3414,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3412]) ).

cnf(3415,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3413]) ).

cnf(3416,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3414]) ).

cnf(3417,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3415]) ).

cnf(3418,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3416]) ).

cnf(3419,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3417]) ).

cnf(3420,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3418]) ).

cnf(3421,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3419]) ).

cnf(3422,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,3420]) ).

cnf(3423,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,3421]) ).

cnf(3424,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3422]) ).

cnf(3425,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3423]) ).

cnf(3426,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3424]) ).

cnf(3427,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3425]) ).

cnf(3428,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3426]) ).

cnf(3429,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3427]) ).

cnf(3430,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3428]) ).

cnf(3431,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3429]) ).

cnf(3432,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3430]) ).

cnf(3433,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3431]) ).

cnf(3434,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3432]) ).

cnf(3435,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3433]) ).

cnf(3436,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3434]) ).

cnf(3437,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3435]) ).

cnf(3438,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,3436]) ).

cnf(3439,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,3437]) ).

cnf(3440,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3438]) ).

cnf(3441,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3439]) ).

cnf(3442,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3440]) ).

cnf(3443,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3441]) ).

cnf(3444,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3442]) ).

cnf(3445,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3443]) ).

cnf(3446,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3444]) ).

cnf(3447,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3445]) ).

cnf(3448,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3446]) ).

cnf(3449,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3447]) ).

cnf(3450,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3448]) ).

cnf(3451,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3449]) ).

cnf(3452,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3450]) ).

cnf(3453,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3451]) ).

cnf(3454,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,3452]) ).

cnf(3455,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,3453]) ).

cnf(3456,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3454]) ).

cnf(3457,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3455]) ).

cnf(3458,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3456]) ).

cnf(3459,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3457]) ).

cnf(3460,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3458]) ).

cnf(3461,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3459]) ).

cnf(3462,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3460]) ).

cnf(3463,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3461]) ).

cnf(3464,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3462]) ).

cnf(3465,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3463]) ).

cnf(3466,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3464]) ).

cnf(3467,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3465]) ).

cnf(3468,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3466]) ).

cnf(3469,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3467]) ).

cnf(3470,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,3468]) ).

cnf(3471,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,3469]) ).

cnf(3472,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3470]) ).

cnf(3473,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3471]) ).

cnf(3474,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3472]) ).

cnf(3475,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3473]) ).

cnf(3476,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3474]) ).

cnf(3477,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3475]) ).

cnf(3478,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3476]) ).

cnf(3479,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3477]) ).

cnf(3480,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3478]) ).

cnf(3481,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3479]) ).

cnf(3482,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3480]) ).

cnf(3483,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3481]) ).

cnf(3484,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3482]) ).

cnf(3485,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3483]) ).

cnf(3486,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,3484]) ).

cnf(3487,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,3485]) ).

cnf(3488,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3486]) ).

cnf(3489,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3487]) ).

cnf(3490,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3488]) ).

cnf(3491,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3489]) ).

cnf(3492,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3490]) ).

cnf(3493,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3491]) ).

cnf(3494,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3492]) ).

cnf(3495,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3493]) ).

cnf(3496,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3494]) ).

cnf(3497,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3495]) ).

cnf(3498,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3496]) ).

cnf(3499,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3497]) ).

cnf(3500,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3498]) ).

cnf(3501,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3499]) ).

cnf(3502,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,3500]) ).

cnf(3503,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,3501]) ).

cnf(3504,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3502]) ).

cnf(3505,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3503]) ).

cnf(3506,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3504]) ).

cnf(3507,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3505]) ).

cnf(3508,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3506]) ).

cnf(3509,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3507]) ).

cnf(3510,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3508]) ).

cnf(3511,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3509]) ).

cnf(3512,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3510]) ).

cnf(3513,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3511]) ).

cnf(3514,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3512]) ).

cnf(3515,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3513]) ).

cnf(3516,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3514]) ).

cnf(3517,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3515]) ).

cnf(3518,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,3516]) ).

cnf(3519,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,3517]) ).

cnf(3520,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3518]) ).

cnf(3521,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3519]) ).

cnf(3522,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3520]) ).

cnf(3523,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3521]) ).

cnf(3524,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3522]) ).

cnf(3525,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3523]) ).

cnf(3526,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3524]) ).

cnf(3527,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3525]) ).

cnf(3528,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3526]) ).

cnf(3529,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3527]) ).

cnf(3530,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3528]) ).

cnf(3531,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3529]) ).

cnf(3532,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3530]) ).

cnf(3533,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3531]) ).

cnf(3534,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,3532]) ).

cnf(3535,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,3533]) ).

cnf(3536,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3534]) ).

cnf(3537,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3535]) ).

cnf(3538,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3536]) ).

cnf(3539,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3537]) ).

cnf(3540,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3538]) ).

cnf(3541,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3539]) ).

cnf(3542,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3540]) ).

cnf(3543,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3541]) ).

cnf(3544,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3542]) ).

cnf(3545,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3543]) ).

cnf(3546,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3544]) ).

cnf(3547,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3545]) ).

cnf(3548,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3546]) ).

cnf(3549,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3547]) ).

cnf(3550,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,3548]) ).

cnf(3551,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,3549]) ).

cnf(3552,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3550]) ).

cnf(3553,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3551]) ).

cnf(3554,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3552]) ).

cnf(3555,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3553]) ).

cnf(3556,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3554]) ).

cnf(3557,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3555]) ).

cnf(3558,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3556]) ).

cnf(3559,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3557]) ).

cnf(3560,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3558]) ).

cnf(3561,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3559]) ).

cnf(3562,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3560]) ).

cnf(3563,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3561]) ).

cnf(3564,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3562]) ).

cnf(3565,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3563]) ).

cnf(3566,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,3564]) ).

cnf(3567,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,3565]) ).

cnf(3568,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3566]) ).

cnf(3569,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3567]) ).

cnf(3570,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3568]) ).

cnf(3571,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3569]) ).

cnf(3572,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3570]) ).

cnf(3573,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3571]) ).

cnf(3574,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3572]) ).

cnf(3575,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3573]) ).

cnf(3576,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3574]) ).

cnf(3577,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3575]) ).

cnf(3578,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3576]) ).

cnf(3579,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3577]) ).

cnf(3580,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3578]) ).

cnf(3581,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3579]) ).

cnf(3582,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,3580]) ).

cnf(3583,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,3581]) ).

cnf(3584,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3582]) ).

cnf(3585,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3583]) ).

cnf(3586,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3584]) ).

cnf(3587,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3585]) ).

cnf(3588,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3586]) ).

cnf(3589,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3587]) ).

cnf(3590,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3588]) ).

cnf(3591,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3589]) ).

cnf(3592,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3590]) ).

cnf(3593,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3591]) ).

cnf(3594,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3592]) ).

cnf(3595,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3593]) ).

cnf(3596,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3594]) ).

cnf(3597,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3595]) ).

cnf(3598,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,3596]) ).

cnf(3599,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,3597]) ).

cnf(3600,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3598]) ).

cnf(3601,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3599]) ).

cnf(3602,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3600]) ).

cnf(3603,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3601]) ).

cnf(3604,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3602]) ).

cnf(3605,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3603]) ).

cnf(3606,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3604]) ).

cnf(3607,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3605]) ).

cnf(3608,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3606]) ).

cnf(3609,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3607]) ).

cnf(3610,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3608]) ).

cnf(3611,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3609]) ).

cnf(3612,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3610]) ).

cnf(3613,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3611]) ).

cnf(3614,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[11,3612]) ).

cnf(3615,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[11,3613]) ).

cnf(3616,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3614]) ).

cnf(3617,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3615]) ).

cnf(3618,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3616]) ).

cnf(3619,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3617]) ).

cnf(3620,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3618]) ).

cnf(3621,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3619]) ).

cnf(3622,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3620]) ).

cnf(3623,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3621]) ).

cnf(3624,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3622]) ).

cnf(3625,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3623]) ).

cnf(3626,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3624]) ).

cnf(3627,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3625]) ).

cnf(3628,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3626]) ).

cnf(3629,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3627]) ).

cnf(3630,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,3628]) ).

cnf(3631,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,3629]) ).

cnf(3632,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3630]) ).

cnf(3633,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3631]) ).

cnf(3634,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3632]) ).

cnf(3635,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3633]) ).

cnf(3636,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3634]) ).

cnf(3637,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3635]) ).

cnf(3638,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3636]) ).

cnf(3639,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3637]) ).

cnf(3640,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3638]) ).

cnf(3641,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3639]) ).

cnf(3642,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3640]) ).

cnf(3643,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3641]) ).

cnf(3644,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3642]) ).

cnf(3645,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3643]) ).

cnf(3646,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,3644]) ).

cnf(3647,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,3645]) ).

cnf(3648,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3646]) ).

cnf(3649,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3647]) ).

cnf(3650,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3648]) ).

cnf(3651,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3649]) ).

cnf(3652,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3650]) ).

cnf(3653,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3651]) ).

cnf(3654,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3652]) ).

cnf(3655,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3653]) ).

cnf(3656,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3654]) ).

cnf(3657,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3655]) ).

cnf(3658,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3656]) ).

cnf(3659,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3657]) ).

cnf(3660,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3658]) ).

cnf(3661,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3659]) ).

cnf(3662,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,3660]) ).

cnf(3663,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,3661]) ).

cnf(3664,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3662]) ).

cnf(3665,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3663]) ).

cnf(3666,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3664]) ).

cnf(3667,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3665]) ).

cnf(3668,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3666]) ).

cnf(3669,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3667]) ).

cnf(3670,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3668]) ).

cnf(3671,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3669]) ).

cnf(3672,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3670]) ).

cnf(3673,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3671]) ).

cnf(3674,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3672]) ).

cnf(3675,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3673]) ).

cnf(3676,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3674]) ).

cnf(3677,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3675]) ).

cnf(3678,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,3676]) ).

cnf(3679,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,3677]) ).

cnf(3680,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3678]) ).

cnf(3681,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3679]) ).

cnf(3682,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3680]) ).

cnf(3683,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3681]) ).

cnf(3684,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3682]) ).

cnf(3685,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3683]) ).

cnf(3686,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3684]) ).

cnf(3687,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3685]) ).

cnf(3688,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3686]) ).

cnf(3689,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3687]) ).

cnf(3690,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3688]) ).

cnf(3691,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3689]) ).

cnf(3692,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3690]) ).

cnf(3693,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3691]) ).

cnf(3694,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,3692]) ).

cnf(3695,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,3693]) ).

cnf(3696,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3694]) ).

cnf(3697,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3695]) ).

cnf(3698,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3696]) ).

cnf(3699,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3697]) ).

cnf(3700,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3698]) ).

cnf(3701,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3699]) ).

cnf(3702,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3700]) ).

cnf(3703,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3701]) ).

cnf(3704,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3702]) ).

cnf(3705,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3703]) ).

cnf(3706,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3704]) ).

cnf(3707,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3705]) ).

cnf(3708,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3706]) ).

cnf(3709,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3707]) ).

cnf(3710,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,3708]) ).

cnf(3711,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,3709]) ).

cnf(3712,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3710]) ).

cnf(3713,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3711]) ).

cnf(3714,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3712]) ).

cnf(3715,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3713]) ).

cnf(3716,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3714]) ).

cnf(3717,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3715]) ).

cnf(3718,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3716]) ).

cnf(3719,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3717]) ).

cnf(3720,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3718]) ).

cnf(3721,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3719]) ).

cnf(3722,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3720]) ).

cnf(3723,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3721]) ).

cnf(3724,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3722]) ).

cnf(3725,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3723]) ).

cnf(3726,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,3724]) ).

cnf(3727,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,3725]) ).

cnf(3728,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3726]) ).

cnf(3729,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3727]) ).

cnf(3730,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3728]) ).

cnf(3731,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3729]) ).

cnf(3732,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3730]) ).

cnf(3733,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3731]) ).

cnf(3734,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3732]) ).

cnf(3735,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3733]) ).

cnf(3736,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3734]) ).

cnf(3737,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3735]) ).

cnf(3738,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3736]) ).

cnf(3739,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3737]) ).

cnf(3740,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3738]) ).

cnf(3741,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3739]) ).

cnf(3742,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,3740]) ).

cnf(3743,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,3741]) ).

cnf(3744,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3742]) ).

cnf(3745,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3743]) ).

cnf(3746,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3744]) ).

cnf(3747,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3745]) ).

cnf(3748,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3746]) ).

cnf(3749,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3747]) ).

cnf(3750,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3748]) ).

cnf(3751,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3749]) ).

cnf(3752,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3750]) ).

cnf(3753,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3751]) ).

cnf(3754,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3752]) ).

cnf(3755,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3753]) ).

cnf(3756,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3754]) ).

cnf(3757,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3755]) ).

cnf(3758,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,3756]) ).

cnf(3759,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,3757]) ).

cnf(3760,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3758]) ).

cnf(3761,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3759]) ).

cnf(3762,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3760]) ).

cnf(3763,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3761]) ).

cnf(3764,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3762]) ).

cnf(3765,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3763]) ).

cnf(3766,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3764]) ).

cnf(3767,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3765]) ).

cnf(3768,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3766]) ).

cnf(3769,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3767]) ).

cnf(3770,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3768]) ).

cnf(3771,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3769]) ).

cnf(3772,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3770]) ).

cnf(3773,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3771]) ).

cnf(3774,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,3772]) ).

cnf(3775,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,3773]) ).

cnf(3776,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3774]) ).

cnf(3777,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3775]) ).

cnf(3778,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3776]) ).

cnf(3779,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3777]) ).

cnf(3780,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3778]) ).

cnf(3781,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3779]) ).

cnf(3782,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3780]) ).

cnf(3783,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3781]) ).

cnf(3784,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3782]) ).

cnf(3785,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3783]) ).

cnf(3786,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3784]) ).

cnf(3787,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3785]) ).

cnf(3788,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3786]) ).

cnf(3789,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3787]) ).

cnf(3790,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,3788]) ).

cnf(3791,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,3789]) ).

cnf(3792,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3790]) ).

cnf(3793,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3791]) ).

cnf(3794,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3792]) ).

cnf(3795,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3793]) ).

cnf(3796,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3794]) ).

cnf(3797,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3795]) ).

cnf(3798,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3796]) ).

cnf(3799,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3797]) ).

cnf(3800,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3798]) ).

cnf(3801,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3799]) ).

cnf(3802,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3800]) ).

cnf(3803,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3801]) ).

cnf(3804,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3802]) ).

cnf(3805,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3803]) ).

cnf(3806,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,3804]) ).

cnf(3807,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,3805]) ).

cnf(3808,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3806]) ).

cnf(3809,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3807]) ).

cnf(3810,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3808]) ).

cnf(3811,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3809]) ).

cnf(3812,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3810]) ).

cnf(3813,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3811]) ).

cnf(3814,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3812]) ).

cnf(3815,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3813]) ).

cnf(3816,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3814]) ).

cnf(3817,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3815]) ).

cnf(3818,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3816]) ).

cnf(3819,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3817]) ).

cnf(3820,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3818]) ).

cnf(3821,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3819]) ).

cnf(3822,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,3820]) ).

cnf(3823,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,3821]) ).

cnf(3824,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3822]) ).

cnf(3825,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3823]) ).

cnf(3826,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3824]) ).

cnf(3827,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3825]) ).

cnf(3828,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3826]) ).

cnf(3829,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3827]) ).

cnf(3830,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3828]) ).

cnf(3831,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3829]) ).

cnf(3832,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3830]) ).

cnf(3833,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3831]) ).

cnf(3834,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3832]) ).

cnf(3835,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3833]) ).

cnf(3836,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3834]) ).

cnf(3837,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3835]) ).

cnf(3838,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,3836]) ).

cnf(3839,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,3837]) ).

cnf(3840,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3838]) ).

cnf(3841,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3839]) ).

cnf(3842,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3840]) ).

cnf(3843,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3841]) ).

cnf(3844,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3842]) ).

cnf(3845,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3843]) ).

cnf(3846,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3844]) ).

cnf(3847,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3845]) ).

cnf(3848,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3846]) ).

cnf(3849,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3847]) ).

cnf(3850,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3848]) ).

cnf(3851,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3849]) ).

cnf(3852,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3850]) ).

cnf(3853,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3851]) ).

cnf(3854,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,3852]) ).

cnf(3855,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,3853]) ).

cnf(3856,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3854]) ).

cnf(3857,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3855]) ).

cnf(3858,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3856]) ).

cnf(3859,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3857]) ).

cnf(3860,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3858]) ).

cnf(3861,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3859]) ).

cnf(3862,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3860]) ).

cnf(3863,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3861]) ).

cnf(3864,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3862]) ).

cnf(3865,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3863]) ).

cnf(3866,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3864]) ).

cnf(3867,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3865]) ).

cnf(3868,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3866]) ).

cnf(3869,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3867]) ).

cnf(3870,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,3868]) ).

cnf(3871,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,3869]) ).

cnf(3872,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3870]) ).

cnf(3873,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3871]) ).

cnf(3874,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3872]) ).

cnf(3875,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3873]) ).

cnf(3876,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3874]) ).

cnf(3877,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3875]) ).

cnf(3878,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3876]) ).

cnf(3879,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3877]) ).

cnf(3880,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3878]) ).

cnf(3881,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3879]) ).

cnf(3882,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3880]) ).

cnf(3883,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3881]) ).

cnf(3884,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3882]) ).

cnf(3885,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3883]) ).

cnf(3886,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,3884]) ).

cnf(3887,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,3885]) ).

cnf(3888,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3886]) ).

cnf(3889,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3887]) ).

cnf(3890,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3888]) ).

cnf(3891,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3889]) ).

cnf(3892,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3890]) ).

cnf(3893,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3891]) ).

cnf(3894,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3892]) ).

cnf(3895,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3893]) ).

cnf(3896,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3894]) ).

cnf(3897,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3895]) ).

cnf(3898,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3896]) ).

cnf(3899,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3897]) ).

cnf(3900,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3898]) ).

cnf(3901,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3899]) ).

cnf(3902,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,3900]) ).

cnf(3903,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,3901]) ).

cnf(3904,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3902]) ).

cnf(3905,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3903]) ).

cnf(3906,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3904]) ).

cnf(3907,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3905]) ).

cnf(3908,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3906]) ).

cnf(3909,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3907]) ).

cnf(3910,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3908]) ).

cnf(3911,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3909]) ).

cnf(3912,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3910]) ).

cnf(3913,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3911]) ).

cnf(3914,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3912]) ).

cnf(3915,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3913]) ).

cnf(3916,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3914]) ).

cnf(3917,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3915]) ).

cnf(3918,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,3916]) ).

cnf(3919,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,3917]) ).

cnf(3920,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3918]) ).

cnf(3921,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3919]) ).

cnf(3922,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3920]) ).

cnf(3923,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3921]) ).

cnf(3924,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3922]) ).

cnf(3925,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3923]) ).

cnf(3926,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3924]) ).

cnf(3927,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3925]) ).

cnf(3928,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3926]) ).

cnf(3929,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3927]) ).

cnf(3930,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3928]) ).

cnf(3931,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3929]) ).

cnf(3932,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3930]) ).

cnf(3933,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3931]) ).

cnf(3934,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,3932]) ).

cnf(3935,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,3933]) ).

cnf(3936,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3934]) ).

cnf(3937,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3935]) ).

cnf(3938,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3936]) ).

cnf(3939,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3937]) ).

cnf(3940,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3938]) ).

cnf(3941,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3939]) ).

cnf(3942,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3940]) ).

cnf(3943,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3941]) ).

cnf(3944,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3942]) ).

cnf(3945,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3943]) ).

cnf(3946,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3944]) ).

cnf(3947,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3945]) ).

cnf(3948,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3946]) ).

cnf(3949,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3947]) ).

cnf(3950,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,3948]) ).

cnf(3951,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,3949]) ).

cnf(3952,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3950]) ).

cnf(3953,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3951]) ).

cnf(3954,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3952]) ).

cnf(3955,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3953]) ).

cnf(3956,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3954]) ).

cnf(3957,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3955]) ).

cnf(3958,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3956]) ).

cnf(3959,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3957]) ).

cnf(3960,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3958]) ).

cnf(3961,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3959]) ).

cnf(3962,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3960]) ).

cnf(3963,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3961]) ).

cnf(3964,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3962]) ).

cnf(3965,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3963]) ).

cnf(3966,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,3964]) ).

cnf(3967,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,3965]) ).

cnf(3968,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3966]) ).

cnf(3969,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3967]) ).

cnf(3970,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3968]) ).

cnf(3971,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3969]) ).

cnf(3972,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3970]) ).

cnf(3973,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3971]) ).

cnf(3974,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3972]) ).

cnf(3975,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3973]) ).

cnf(3976,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3974]) ).

cnf(3977,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3975]) ).

cnf(3978,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3976]) ).

cnf(3979,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3977]) ).

cnf(3980,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3978]) ).

cnf(3981,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3979]) ).

cnf(3982,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,3980]) ).

cnf(3983,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,3981]) ).

cnf(3984,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3982]) ).

cnf(3985,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3983]) ).

cnf(3986,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3984]) ).

cnf(3987,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3985]) ).

cnf(3988,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3986]) ).

cnf(3989,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3987]) ).

cnf(3990,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,3988]) ).

cnf(3991,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,3989]) ).

cnf(3992,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3990]) ).

cnf(3993,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3991]) ).

cnf(3994,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,3992]) ).

cnf(3995,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,3993]) ).

cnf(3996,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3994]) ).

cnf(3997,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3995]) ).

cnf(3998,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,3996]) ).

cnf(3999,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,3997]) ).

cnf(4000,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,3998]) ).

cnf(4001,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,3999]) ).

cnf(4002,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4000]) ).

cnf(4003,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4001]) ).

cnf(4004,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4002]) ).

cnf(4005,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4003]) ).

cnf(4006,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4004]) ).

cnf(4007,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4005]) ).

cnf(4008,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4006]) ).

cnf(4009,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4007]) ).

cnf(4010,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4008]) ).

cnf(4011,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4009]) ).

cnf(4012,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4010]) ).

cnf(4013,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4011]) ).

cnf(4014,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,4012]) ).

cnf(4015,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,4013]) ).

cnf(4016,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4014]) ).

cnf(4017,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4015]) ).

cnf(4018,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4016]) ).

cnf(4019,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4017]) ).

cnf(4020,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4018]) ).

cnf(4021,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4019]) ).

cnf(4022,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4020]) ).

cnf(4023,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4021]) ).

cnf(4024,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4022]) ).

cnf(4025,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4023]) ).

cnf(4026,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4024]) ).

cnf(4027,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4025]) ).

cnf(4028,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4026]) ).

cnf(4029,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4027]) ).

cnf(4030,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,4028]) ).

cnf(4031,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,4029]) ).

cnf(4032,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4030]) ).

cnf(4033,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4031]) ).

cnf(4034,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4032]) ).

cnf(4035,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4033]) ).

cnf(4036,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4034]) ).

cnf(4037,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4035]) ).

cnf(4038,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4036]) ).

cnf(4039,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4037]) ).

cnf(4040,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4038]) ).

cnf(4041,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4039]) ).

cnf(4042,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4040]) ).

cnf(4043,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4041]) ).

cnf(4044,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4042]) ).

cnf(4045,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4043]) ).

cnf(4046,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,4044]) ).

cnf(4047,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,4045]) ).

cnf(4048,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4046]) ).

cnf(4049,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4047]) ).

cnf(4050,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4048]) ).

cnf(4051,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4049]) ).

cnf(4052,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4050]) ).

cnf(4053,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4051]) ).

cnf(4054,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4052]) ).

cnf(4055,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4053]) ).

cnf(4056,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4054]) ).

cnf(4057,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4055]) ).

cnf(4058,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4056]) ).

cnf(4059,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4057]) ).

cnf(4060,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4058]) ).

cnf(4061,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4059]) ).

cnf(4062,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,4060]) ).

cnf(4063,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,4061]) ).

cnf(4064,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4062]) ).

cnf(4065,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4063]) ).

cnf(4066,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4064]) ).

cnf(4067,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4065]) ).

cnf(4068,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4066]) ).

cnf(4069,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4067]) ).

cnf(4070,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4068]) ).

cnf(4071,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4069]) ).

cnf(4072,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4070]) ).

cnf(4073,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4071]) ).

cnf(4074,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4072]) ).

cnf(4075,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4073]) ).

cnf(4076,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4074]) ).

cnf(4077,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4075]) ).

cnf(4078,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,4076]) ).

cnf(4079,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,4077]) ).

cnf(4080,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4078]) ).

cnf(4081,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4079]) ).

cnf(4082,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4080]) ).

cnf(4083,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4081]) ).

cnf(4084,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4082]) ).

cnf(4085,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4083]) ).

cnf(4086,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4084]) ).

cnf(4087,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4085]) ).

cnf(4088,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4086]) ).

cnf(4089,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4087]) ).

cnf(4090,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4088]) ).

cnf(4091,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4089]) ).

cnf(4092,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4090]) ).

cnf(4093,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4091]) ).

cnf(4094,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,4092]) ).

cnf(4095,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,4093]) ).

cnf(4096,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4094]) ).

cnf(4097,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4095]) ).

cnf(4098,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4096]) ).

cnf(4099,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4097]) ).

cnf(4100,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4098]) ).

cnf(4101,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4099]) ).

cnf(4102,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4100]) ).

cnf(4103,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4101]) ).

cnf(4104,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4102]) ).

cnf(4105,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4103]) ).

cnf(4106,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4104]) ).

cnf(4107,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4105]) ).

cnf(4108,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4106]) ).

cnf(4109,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4107]) ).

cnf(4110,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,4108]) ).

cnf(4111,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,4109]) ).

cnf(4112,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4110]) ).

cnf(4113,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4111]) ).

cnf(4114,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4112]) ).

cnf(4115,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4113]) ).

cnf(4116,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4114]) ).

cnf(4117,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4115]) ).

cnf(4118,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4116]) ).

cnf(4119,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4117]) ).

cnf(4120,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4118]) ).

cnf(4121,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4119]) ).

cnf(4122,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4120]) ).

cnf(4123,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4121]) ).

cnf(4124,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4122]) ).

cnf(4125,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4123]) ).

cnf(4126,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[14,4124]) ).

cnf(4127,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[14,4125]) ).

cnf(4128,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4126]) ).

cnf(4129,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4127]) ).

cnf(4130,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4128]) ).

cnf(4131,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4129]) ).

cnf(4132,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4130]) ).

cnf(4133,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4131]) ).

cnf(4134,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4132]) ).

cnf(4135,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4133]) ).

cnf(4136,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4134]) ).

cnf(4137,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4135]) ).

cnf(4138,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4136]) ).

cnf(4139,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4137]) ).

cnf(4140,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4138]) ).

cnf(4141,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4139]) ).

cnf(4142,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,4140]) ).

cnf(4143,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,4141]) ).

cnf(4144,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4142]) ).

cnf(4145,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4143]) ).

cnf(4146,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4144]) ).

cnf(4147,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4145]) ).

cnf(4148,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4146]) ).

cnf(4149,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4147]) ).

cnf(4150,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4148]) ).

cnf(4151,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4149]) ).

cnf(4152,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4150]) ).

cnf(4153,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4151]) ).

cnf(4154,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4152]) ).

cnf(4155,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4153]) ).

cnf(4156,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4154]) ).

cnf(4157,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4155]) ).

cnf(4158,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,4156]) ).

cnf(4159,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,4157]) ).

cnf(4160,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4158]) ).

cnf(4161,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4159]) ).

cnf(4162,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4160]) ).

cnf(4163,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4161]) ).

cnf(4164,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4162]) ).

cnf(4165,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4163]) ).

cnf(4166,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4164]) ).

cnf(4167,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4165]) ).

cnf(4168,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4166]) ).

cnf(4169,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4167]) ).

cnf(4170,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4168]) ).

cnf(4171,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4169]) ).

cnf(4172,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4170]) ).

cnf(4173,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4171]) ).

cnf(4174,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,4172]) ).

cnf(4175,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,4173]) ).

cnf(4176,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4174]) ).

cnf(4177,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4175]) ).

cnf(4178,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4176]) ).

cnf(4179,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4177]) ).

cnf(4180,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4178]) ).

cnf(4181,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4179]) ).

cnf(4182,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4180]) ).

cnf(4183,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4181]) ).

cnf(4184,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4182]) ).

cnf(4185,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4183]) ).

cnf(4186,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4184]) ).

cnf(4187,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4185]) ).

cnf(4188,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4186]) ).

cnf(4189,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4187]) ).

cnf(4190,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,4188]) ).

cnf(4191,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,4189]) ).

cnf(4192,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4190]) ).

cnf(4193,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4191]) ).

cnf(4194,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4192]) ).

cnf(4195,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4193]) ).

cnf(4196,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4194]) ).

cnf(4197,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4195]) ).

cnf(4198,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4196]) ).

cnf(4199,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4197]) ).

cnf(4200,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4198]) ).

cnf(4201,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4199]) ).

cnf(4202,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4200]) ).

cnf(4203,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4201]) ).

cnf(4204,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4202]) ).

cnf(4205,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4203]) ).

cnf(4206,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,4204]) ).

cnf(4207,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,4205]) ).

cnf(4208,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4206]) ).

cnf(4209,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4207]) ).

cnf(4210,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4208]) ).

cnf(4211,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4209]) ).

cnf(4212,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4210]) ).

cnf(4213,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4211]) ).

cnf(4214,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4212]) ).

cnf(4215,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4213]) ).

cnf(4216,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4214]) ).

cnf(4217,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4215]) ).

cnf(4218,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4216]) ).

cnf(4219,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4217]) ).

cnf(4220,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4218]) ).

cnf(4221,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4219]) ).

cnf(4222,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,4220]) ).

cnf(4223,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,4221]) ).

cnf(4224,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4222]) ).

cnf(4225,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4223]) ).

cnf(4226,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4224]) ).

cnf(4227,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4225]) ).

cnf(4228,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4226]) ).

cnf(4229,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4227]) ).

cnf(4230,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4228]) ).

cnf(4231,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4229]) ).

cnf(4232,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4230]) ).

cnf(4233,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4231]) ).

cnf(4234,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4232]) ).

cnf(4235,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4233]) ).

cnf(4236,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4234]) ).

cnf(4237,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4235]) ).

cnf(4238,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,4236]) ).

cnf(4239,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,4237]) ).

cnf(4240,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4238]) ).

cnf(4241,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4239]) ).

cnf(4242,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4240]) ).

cnf(4243,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4241]) ).

cnf(4244,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4242]) ).

cnf(4245,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4243]) ).

cnf(4246,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4244]) ).

cnf(4247,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4245]) ).

cnf(4248,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4246]) ).

cnf(4249,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4247]) ).

cnf(4250,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4248]) ).

cnf(4251,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4249]) ).

cnf(4252,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4250]) ).

cnf(4253,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4251]) ).

cnf(4254,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,4252]) ).

cnf(4255,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,4253]) ).

cnf(4256,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4254]) ).

cnf(4257,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4255]) ).

cnf(4258,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4256]) ).

cnf(4259,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4257]) ).

cnf(4260,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4258]) ).

cnf(4261,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4259]) ).

cnf(4262,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4260]) ).

cnf(4263,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4261]) ).

cnf(4264,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4262]) ).

cnf(4265,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4263]) ).

cnf(4266,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4264]) ).

cnf(4267,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4265]) ).

cnf(4268,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4266]) ).

cnf(4269,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4267]) ).

cnf(4270,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,4268]) ).

cnf(4271,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,4269]) ).

cnf(4272,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4270]) ).

cnf(4273,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4271]) ).

cnf(4274,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4272]) ).

cnf(4275,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4273]) ).

cnf(4276,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4274]) ).

cnf(4277,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4275]) ).

cnf(4278,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4276]) ).

cnf(4279,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4277]) ).

cnf(4280,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4278]) ).

cnf(4281,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4279]) ).

cnf(4282,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4280]) ).

cnf(4283,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4281]) ).

cnf(4284,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4282]) ).

cnf(4285,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4283]) ).

cnf(4286,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,4284]) ).

cnf(4287,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,4285]) ).

cnf(4288,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4286]) ).

cnf(4289,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4287]) ).

cnf(4290,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4288]) ).

cnf(4291,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4289]) ).

cnf(4292,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4290]) ).

cnf(4293,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4291]) ).

cnf(4294,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4292]) ).

cnf(4295,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4293]) ).

cnf(4296,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4294]) ).

cnf(4297,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4295]) ).

cnf(4298,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4296]) ).

cnf(4299,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4297]) ).

cnf(4300,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4298]) ).

cnf(4301,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4299]) ).

cnf(4302,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,4300]) ).

cnf(4303,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,4301]) ).

cnf(4304,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4302]) ).

cnf(4305,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4303]) ).

cnf(4306,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4304]) ).

cnf(4307,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4305]) ).

cnf(4308,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4306]) ).

cnf(4309,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4307]) ).

cnf(4310,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4308]) ).

cnf(4311,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4309]) ).

cnf(4312,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4310]) ).

cnf(4313,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4311]) ).

cnf(4314,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4312]) ).

cnf(4315,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4313]) ).

cnf(4316,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4314]) ).

cnf(4317,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4315]) ).

cnf(4318,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,4316]) ).

cnf(4319,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,4317]) ).

cnf(4320,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4318]) ).

cnf(4321,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4319]) ).

cnf(4322,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4320]) ).

cnf(4323,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4321]) ).

cnf(4324,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4322]) ).

cnf(4325,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4323]) ).

cnf(4326,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4324]) ).

cnf(4327,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4325]) ).

cnf(4328,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4326]) ).

cnf(4329,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4327]) ).

cnf(4330,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4328]) ).

cnf(4331,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4329]) ).

cnf(4332,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4330]) ).

cnf(4333,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4331]) ).

cnf(4334,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,4332]) ).

cnf(4335,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,4333]) ).

cnf(4336,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4334]) ).

cnf(4337,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4335]) ).

cnf(4338,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4336]) ).

cnf(4339,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4337]) ).

cnf(4340,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4338]) ).

cnf(4341,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4339]) ).

cnf(4342,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4340]) ).

cnf(4343,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4341]) ).

cnf(4344,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4342]) ).

cnf(4345,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4343]) ).

cnf(4346,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4344]) ).

cnf(4347,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4345]) ).

cnf(4348,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4346]) ).

cnf(4349,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4347]) ).

cnf(4350,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,4348]) ).

cnf(4351,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,4349]) ).

cnf(4352,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4350]) ).

cnf(4353,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4351]) ).

cnf(4354,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4352]) ).

cnf(4355,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4353]) ).

cnf(4356,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4354]) ).

cnf(4357,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4355]) ).

cnf(4358,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4356]) ).

cnf(4359,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4357]) ).

cnf(4360,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4358]) ).

cnf(4361,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4359]) ).

cnf(4362,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4360]) ).

cnf(4363,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4361]) ).

cnf(4364,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4362]) ).

cnf(4365,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4363]) ).

cnf(4366,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,4364]) ).

cnf(4367,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,4365]) ).

cnf(4368,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4366]) ).

cnf(4369,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4367]) ).

cnf(4370,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4368]) ).

cnf(4371,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4369]) ).

cnf(4372,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4370]) ).

cnf(4373,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4371]) ).

cnf(4374,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4372]) ).

cnf(4375,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4373]) ).

cnf(4376,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4374]) ).

cnf(4377,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4375]) ).

cnf(4378,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4376]) ).

cnf(4379,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4377]) ).

cnf(4380,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4378]) ).

cnf(4381,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4379]) ).

cnf(4382,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,4380]) ).

cnf(4383,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,4381]) ).

cnf(4384,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4382]) ).

cnf(4385,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4383]) ).

cnf(4386,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4384]) ).

cnf(4387,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4385]) ).

cnf(4388,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4386]) ).

cnf(4389,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4387]) ).

cnf(4390,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4388]) ).

cnf(4391,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4389]) ).

cnf(4392,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4390]) ).

cnf(4393,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4391]) ).

cnf(4394,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4392]) ).

cnf(4395,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4393]) ).

cnf(4396,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4394]) ).

cnf(4397,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4395]) ).

cnf(4398,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,4396]) ).

cnf(4399,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,4397]) ).

cnf(4400,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4398]) ).

cnf(4401,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4399]) ).

cnf(4402,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4400]) ).

cnf(4403,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4401]) ).

cnf(4404,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4402]) ).

cnf(4405,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4403]) ).

cnf(4406,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4404]) ).

cnf(4407,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4405]) ).

cnf(4408,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4406]) ).

cnf(4409,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4407]) ).

cnf(4410,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4408]) ).

cnf(4411,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4409]) ).

cnf(4412,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4410]) ).

cnf(4413,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4411]) ).

cnf(4414,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,4412]) ).

cnf(4415,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,4413]) ).

cnf(4416,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4414]) ).

cnf(4417,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4415]) ).

cnf(4418,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4416]) ).

cnf(4419,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4417]) ).

cnf(4420,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4418]) ).

cnf(4421,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4419]) ).

cnf(4422,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4420]) ).

cnf(4423,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4421]) ).

cnf(4424,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4422]) ).

cnf(4425,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4423]) ).

cnf(4426,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4424]) ).

cnf(4427,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4425]) ).

cnf(4428,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4426]) ).

cnf(4429,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4427]) ).

cnf(4430,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,4428]) ).

cnf(4431,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,4429]) ).

cnf(4432,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4430]) ).

cnf(4433,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4431]) ).

cnf(4434,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4432]) ).

cnf(4435,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4433]) ).

cnf(4436,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4434]) ).

cnf(4437,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4435]) ).

cnf(4438,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4436]) ).

cnf(4439,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4437]) ).

cnf(4440,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4438]) ).

cnf(4441,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4439]) ).

cnf(4442,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4440]) ).

cnf(4443,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4441]) ).

cnf(4444,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4442]) ).

cnf(4445,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4443]) ).

cnf(4446,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,4444]) ).

cnf(4447,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,4445]) ).

cnf(4448,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4446]) ).

cnf(4449,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4447]) ).

cnf(4450,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4448]) ).

cnf(4451,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4449]) ).

cnf(4452,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4450]) ).

cnf(4453,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4451]) ).

cnf(4454,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4452]) ).

cnf(4455,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4453]) ).

cnf(4456,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4454]) ).

cnf(4457,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4455]) ).

cnf(4458,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4456]) ).

cnf(4459,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4457]) ).

cnf(4460,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4458]) ).

cnf(4461,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4459]) ).

cnf(4462,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,4460]) ).

cnf(4463,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,4461]) ).

cnf(4464,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4462]) ).

cnf(4465,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4463]) ).

cnf(4466,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4464]) ).

cnf(4467,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4465]) ).

cnf(4468,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4466]) ).

cnf(4469,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4467]) ).

cnf(4470,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4468]) ).

cnf(4471,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4469]) ).

cnf(4472,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4470]) ).

cnf(4473,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4471]) ).

cnf(4474,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4472]) ).

cnf(4475,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4473]) ).

cnf(4476,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4474]) ).

cnf(4477,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4475]) ).

cnf(4478,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,4476]) ).

cnf(4479,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,4477]) ).

cnf(4480,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4478]) ).

cnf(4481,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4479]) ).

cnf(4482,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4480]) ).

cnf(4483,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4481]) ).

cnf(4484,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4482]) ).

cnf(4485,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4483]) ).

cnf(4486,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4484]) ).

cnf(4487,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4485]) ).

cnf(4488,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4486]) ).

cnf(4489,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4487]) ).

cnf(4490,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4488]) ).

cnf(4491,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4489]) ).

cnf(4492,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4490]) ).

cnf(4493,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4491]) ).

cnf(4494,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,4492]) ).

cnf(4495,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,4493]) ).

cnf(4496,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4494]) ).

cnf(4497,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4495]) ).

cnf(4498,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4496]) ).

cnf(4499,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4497]) ).

cnf(4500,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4498]) ).

cnf(4501,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4499]) ).

cnf(4502,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4500]) ).

cnf(4503,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4501]) ).

cnf(4504,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4502]) ).

cnf(4505,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4503]) ).

cnf(4506,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4504]) ).

cnf(4507,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4505]) ).

cnf(4508,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4506]) ).

cnf(4509,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4507]) ).

cnf(4510,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,4508]) ).

cnf(4511,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,4509]) ).

cnf(4512,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4510]) ).

cnf(4513,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4511]) ).

cnf(4514,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4512]) ).

cnf(4515,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4513]) ).

cnf(4516,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4514]) ).

cnf(4517,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4515]) ).

cnf(4518,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4516]) ).

cnf(4519,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4517]) ).

cnf(4520,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4518]) ).

cnf(4521,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4519]) ).

cnf(4522,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4520]) ).

cnf(4523,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4521]) ).

cnf(4524,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4522]) ).

cnf(4525,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4523]) ).

cnf(4526,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,4524]) ).

cnf(4527,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,4525]) ).

cnf(4528,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4526]) ).

cnf(4529,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4527]) ).

cnf(4530,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4528]) ).

cnf(4531,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4529]) ).

cnf(4532,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4530]) ).

cnf(4533,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4531]) ).

cnf(4534,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4532]) ).

cnf(4535,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4533]) ).

cnf(4536,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4534]) ).

cnf(4537,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4535]) ).

cnf(4538,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4536]) ).

cnf(4539,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4537]) ).

cnf(4540,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4538]) ).

cnf(4541,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4539]) ).

cnf(4542,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,4540]) ).

cnf(4543,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,4541]) ).

cnf(4544,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4542]) ).

cnf(4545,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4543]) ).

cnf(4546,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4544]) ).

cnf(4547,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4545]) ).

cnf(4548,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4546]) ).

cnf(4549,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4547]) ).

cnf(4550,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4548]) ).

cnf(4551,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4549]) ).

cnf(4552,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4550]) ).

cnf(4553,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4551]) ).

cnf(4554,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4552]) ).

cnf(4555,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4553]) ).

cnf(4556,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4554]) ).

cnf(4557,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4555]) ).

cnf(4558,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,4556]) ).

cnf(4559,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,4557]) ).

cnf(4560,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4558]) ).

cnf(4561,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4559]) ).

cnf(4562,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4560]) ).

cnf(4563,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4561]) ).

cnf(4564,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4562]) ).

cnf(4565,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4563]) ).

cnf(4566,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4564]) ).

cnf(4567,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4565]) ).

cnf(4568,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4566]) ).

cnf(4569,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4567]) ).

cnf(4570,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4568]) ).

cnf(4571,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4569]) ).

cnf(4572,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4570]) ).

cnf(4573,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4571]) ).

cnf(4574,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,4572]) ).

cnf(4575,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,4573]) ).

cnf(4576,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4574]) ).

cnf(4577,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4575]) ).

cnf(4578,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4576]) ).

cnf(4579,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4577]) ).

cnf(4580,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4578]) ).

cnf(4581,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4579]) ).

cnf(4582,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4580]) ).

cnf(4583,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4581]) ).

cnf(4584,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4582]) ).

cnf(4585,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4583]) ).

cnf(4586,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4584]) ).

cnf(4587,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4585]) ).

cnf(4588,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4586]) ).

cnf(4589,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4587]) ).

cnf(4590,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,4588]) ).

cnf(4591,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,4589]) ).

cnf(4592,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4590]) ).

cnf(4593,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4591]) ).

cnf(4594,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4592]) ).

cnf(4595,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4593]) ).

cnf(4596,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4594]) ).

cnf(4597,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4595]) ).

cnf(4598,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4596]) ).

cnf(4599,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4597]) ).

cnf(4600,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4598]) ).

cnf(4601,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4599]) ).

cnf(4602,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4600]) ).

cnf(4603,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4601]) ).

cnf(4604,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4602]) ).

cnf(4605,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4603]) ).

cnf(4606,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,4604]) ).

cnf(4607,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,4605]) ).

cnf(4608,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4606]) ).

cnf(4609,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4607]) ).

cnf(4610,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4608]) ).

cnf(4611,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4609]) ).

cnf(4612,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4610]) ).

cnf(4613,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4611]) ).

cnf(4614,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4612]) ).

cnf(4615,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4613]) ).

cnf(4616,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4614]) ).

cnf(4617,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4615]) ).

cnf(4618,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4616]) ).

cnf(4619,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4617]) ).

cnf(4620,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4618]) ).

cnf(4621,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4619]) ).

cnf(4622,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,4620]) ).

cnf(4623,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,4621]) ).

cnf(4624,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4622]) ).

cnf(4625,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4623]) ).

cnf(4626,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4624]) ).

cnf(4627,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4625]) ).

cnf(4628,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4626]) ).

cnf(4629,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4627]) ).

cnf(4630,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4628]) ).

cnf(4631,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4629]) ).

cnf(4632,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4630]) ).

cnf(4633,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4631]) ).

cnf(4634,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4632]) ).

cnf(4635,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4633]) ).

cnf(4636,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4634]) ).

cnf(4637,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4635]) ).

cnf(4638,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[11,4636]) ).

cnf(4639,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[11,4637]) ).

cnf(4640,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4638]) ).

cnf(4641,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4639]) ).

cnf(4642,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4640]) ).

cnf(4643,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4641]) ).

cnf(4644,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4642]) ).

cnf(4645,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4643]) ).

cnf(4646,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4644]) ).

cnf(4647,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4645]) ).

cnf(4648,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4646]) ).

cnf(4649,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4647]) ).

cnf(4650,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4648]) ).

cnf(4651,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4649]) ).

cnf(4652,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4650]) ).

cnf(4653,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4651]) ).

cnf(4654,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,4652]) ).

cnf(4655,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,4653]) ).

cnf(4656,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4654]) ).

cnf(4657,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4655]) ).

cnf(4658,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4656]) ).

cnf(4659,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4657]) ).

cnf(4660,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4658]) ).

cnf(4661,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4659]) ).

cnf(4662,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4660]) ).

cnf(4663,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4661]) ).

cnf(4664,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4662]) ).

cnf(4665,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4663]) ).

cnf(4666,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4664]) ).

cnf(4667,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4665]) ).

cnf(4668,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4666]) ).

cnf(4669,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4667]) ).

cnf(4670,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,4668]) ).

cnf(4671,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,4669]) ).

cnf(4672,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4670]) ).

cnf(4673,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4671]) ).

cnf(4674,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4672]) ).

cnf(4675,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4673]) ).

cnf(4676,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4674]) ).

cnf(4677,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4675]) ).

cnf(4678,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4676]) ).

cnf(4679,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4677]) ).

cnf(4680,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4678]) ).

cnf(4681,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4679]) ).

cnf(4682,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4680]) ).

cnf(4683,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4681]) ).

cnf(4684,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4682]) ).

cnf(4685,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4683]) ).

cnf(4686,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,4684]) ).

cnf(4687,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,4685]) ).

cnf(4688,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4686]) ).

cnf(4689,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4687]) ).

cnf(4690,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4688]) ).

cnf(4691,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4689]) ).

cnf(4692,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4690]) ).

cnf(4693,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4691]) ).

cnf(4694,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4692]) ).

cnf(4695,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4693]) ).

cnf(4696,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4694]) ).

cnf(4697,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4695]) ).

cnf(4698,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4696]) ).

cnf(4699,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4697]) ).

cnf(4700,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4698]) ).

cnf(4701,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4699]) ).

cnf(4702,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,4700]) ).

cnf(4703,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,4701]) ).

cnf(4704,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4702]) ).

cnf(4705,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4703]) ).

cnf(4706,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4704]) ).

cnf(4707,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4705]) ).

cnf(4708,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4706]) ).

cnf(4709,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4707]) ).

cnf(4710,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4708]) ).

cnf(4711,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4709]) ).

cnf(4712,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4710]) ).

cnf(4713,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4711]) ).

cnf(4714,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4712]) ).

cnf(4715,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4713]) ).

cnf(4716,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4714]) ).

cnf(4717,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4715]) ).

cnf(4718,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,4716]) ).

cnf(4719,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,4717]) ).

cnf(4720,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4718]) ).

cnf(4721,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4719]) ).

cnf(4722,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4720]) ).

cnf(4723,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4721]) ).

cnf(4724,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4722]) ).

cnf(4725,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4723]) ).

cnf(4726,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4724]) ).

cnf(4727,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4725]) ).

cnf(4728,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4726]) ).

cnf(4729,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4727]) ).

cnf(4730,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4728]) ).

cnf(4731,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4729]) ).

cnf(4732,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4730]) ).

cnf(4733,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4731]) ).

cnf(4734,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,4732]) ).

cnf(4735,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,4733]) ).

cnf(4736,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4734]) ).

cnf(4737,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4735]) ).

cnf(4738,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4736]) ).

cnf(4739,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4737]) ).

cnf(4740,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4738]) ).

cnf(4741,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4739]) ).

cnf(4742,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4740]) ).

cnf(4743,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4741]) ).

cnf(4744,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4742]) ).

cnf(4745,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4743]) ).

cnf(4746,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4744]) ).

cnf(4747,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4745]) ).

cnf(4748,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4746]) ).

cnf(4749,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4747]) ).

cnf(4750,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,4748]) ).

cnf(4751,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,4749]) ).

cnf(4752,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4750]) ).

cnf(4753,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4751]) ).

cnf(4754,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4752]) ).

cnf(4755,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4753]) ).

cnf(4756,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4754]) ).

cnf(4757,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4755]) ).

cnf(4758,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4756]) ).

cnf(4759,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4757]) ).

cnf(4760,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4758]) ).

cnf(4761,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4759]) ).

cnf(4762,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4760]) ).

cnf(4763,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4761]) ).

cnf(4764,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4762]) ).

cnf(4765,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4763]) ).

cnf(4766,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,4764]) ).

cnf(4767,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,4765]) ).

cnf(4768,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4766]) ).

cnf(4769,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4767]) ).

cnf(4770,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4768]) ).

cnf(4771,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4769]) ).

cnf(4772,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4770]) ).

cnf(4773,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4771]) ).

cnf(4774,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4772]) ).

cnf(4775,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4773]) ).

cnf(4776,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4774]) ).

cnf(4777,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4775]) ).

cnf(4778,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4776]) ).

cnf(4779,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4777]) ).

cnf(4780,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4778]) ).

cnf(4781,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4779]) ).

cnf(4782,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,4780]) ).

cnf(4783,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,4781]) ).

cnf(4784,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4782]) ).

cnf(4785,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4783]) ).

cnf(4786,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4784]) ).

cnf(4787,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4785]) ).

cnf(4788,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4786]) ).

cnf(4789,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4787]) ).

cnf(4790,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4788]) ).

cnf(4791,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4789]) ).

cnf(4792,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4790]) ).

cnf(4793,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4791]) ).

cnf(4794,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4792]) ).

cnf(4795,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4793]) ).

cnf(4796,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4794]) ).

cnf(4797,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4795]) ).

cnf(4798,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,4796]) ).

cnf(4799,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,4797]) ).

cnf(4800,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4798]) ).

cnf(4801,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4799]) ).

cnf(4802,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4800]) ).

cnf(4803,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4801]) ).

cnf(4804,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4802]) ).

cnf(4805,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4803]) ).

cnf(4806,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4804]) ).

cnf(4807,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4805]) ).

cnf(4808,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4806]) ).

cnf(4809,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4807]) ).

cnf(4810,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4808]) ).

cnf(4811,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4809]) ).

cnf(4812,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4810]) ).

cnf(4813,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4811]) ).

cnf(4814,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,4812]) ).

cnf(4815,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,4813]) ).

cnf(4816,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4814]) ).

cnf(4817,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4815]) ).

cnf(4818,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4816]) ).

cnf(4819,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4817]) ).

cnf(4820,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4818]) ).

cnf(4821,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4819]) ).

cnf(4822,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4820]) ).

cnf(4823,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4821]) ).

cnf(4824,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4822]) ).

cnf(4825,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4823]) ).

cnf(4826,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4824]) ).

cnf(4827,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4825]) ).

cnf(4828,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4826]) ).

cnf(4829,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4827]) ).

cnf(4830,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,4828]) ).

cnf(4831,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,4829]) ).

cnf(4832,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4830]) ).

cnf(4833,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4831]) ).

cnf(4834,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4832]) ).

cnf(4835,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4833]) ).

cnf(4836,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4834]) ).

cnf(4837,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4835]) ).

cnf(4838,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4836]) ).

cnf(4839,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4837]) ).

cnf(4840,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4838]) ).

cnf(4841,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4839]) ).

cnf(4842,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4840]) ).

cnf(4843,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4841]) ).

cnf(4844,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4842]) ).

cnf(4845,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4843]) ).

cnf(4846,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,4844]) ).

cnf(4847,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,4845]) ).

cnf(4848,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4846]) ).

cnf(4849,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4847]) ).

cnf(4850,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4848]) ).

cnf(4851,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4849]) ).

cnf(4852,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4850]) ).

cnf(4853,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4851]) ).

cnf(4854,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4852]) ).

cnf(4855,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4853]) ).

cnf(4856,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4854]) ).

cnf(4857,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4855]) ).

cnf(4858,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4856]) ).

cnf(4859,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4857]) ).

cnf(4860,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4858]) ).

cnf(4861,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4859]) ).

cnf(4862,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,4860]) ).

cnf(4863,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,4861]) ).

cnf(4864,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4862]) ).

cnf(4865,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4863]) ).

cnf(4866,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4864]) ).

cnf(4867,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4865]) ).

cnf(4868,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4866]) ).

cnf(4869,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4867]) ).

cnf(4870,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4868]) ).

cnf(4871,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4869]) ).

cnf(4872,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4870]) ).

cnf(4873,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4871]) ).

cnf(4874,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4872]) ).

cnf(4875,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4873]) ).

cnf(4876,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4874]) ).

cnf(4877,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4875]) ).

cnf(4878,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,4876]) ).

cnf(4879,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,4877]) ).

cnf(4880,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4878]) ).

cnf(4881,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4879]) ).

cnf(4882,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4880]) ).

cnf(4883,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4881]) ).

cnf(4884,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4882]) ).

cnf(4885,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4883]) ).

cnf(4886,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4884]) ).

cnf(4887,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4885]) ).

cnf(4888,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4886]) ).

cnf(4889,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4887]) ).

cnf(4890,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4888]) ).

cnf(4891,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4889]) ).

cnf(4892,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4890]) ).

cnf(4893,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4891]) ).

cnf(4894,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,4892]) ).

cnf(4895,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,4893]) ).

cnf(4896,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4894]) ).

cnf(4897,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4895]) ).

cnf(4898,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4896]) ).

cnf(4899,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4897]) ).

cnf(4900,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4898]) ).

cnf(4901,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4899]) ).

cnf(4902,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4900]) ).

cnf(4903,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4901]) ).

cnf(4904,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4902]) ).

cnf(4905,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4903]) ).

cnf(4906,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4904]) ).

cnf(4907,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4905]) ).

cnf(4908,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4906]) ).

cnf(4909,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4907]) ).

cnf(4910,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,4908]) ).

cnf(4911,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,4909]) ).

cnf(4912,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4910]) ).

cnf(4913,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4911]) ).

cnf(4914,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4912]) ).

cnf(4915,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4913]) ).

cnf(4916,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4914]) ).

cnf(4917,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4915]) ).

cnf(4918,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4916]) ).

cnf(4919,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4917]) ).

cnf(4920,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4918]) ).

cnf(4921,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4919]) ).

cnf(4922,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4920]) ).

cnf(4923,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4921]) ).

cnf(4924,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4922]) ).

cnf(4925,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4923]) ).

cnf(4926,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,4924]) ).

cnf(4927,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,4925]) ).

cnf(4928,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4926]) ).

cnf(4929,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4927]) ).

cnf(4930,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4928]) ).

cnf(4931,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4929]) ).

cnf(4932,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4930]) ).

cnf(4933,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4931]) ).

cnf(4934,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4932]) ).

cnf(4935,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4933]) ).

cnf(4936,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4934]) ).

cnf(4937,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4935]) ).

cnf(4938,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4936]) ).

cnf(4939,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4937]) ).

cnf(4940,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4938]) ).

cnf(4941,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4939]) ).

cnf(4942,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,4940]) ).

cnf(4943,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,4941]) ).

cnf(4944,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4942]) ).

cnf(4945,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4943]) ).

cnf(4946,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4944]) ).

cnf(4947,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4945]) ).

cnf(4948,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4946]) ).

cnf(4949,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4947]) ).

cnf(4950,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4948]) ).

cnf(4951,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4949]) ).

cnf(4952,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4950]) ).

cnf(4953,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4951]) ).

cnf(4954,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4952]) ).

cnf(4955,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4953]) ).

cnf(4956,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4954]) ).

cnf(4957,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4955]) ).

cnf(4958,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,4956]) ).

cnf(4959,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,4957]) ).

cnf(4960,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4958]) ).

cnf(4961,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4959]) ).

cnf(4962,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4960]) ).

cnf(4963,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4961]) ).

cnf(4964,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4962]) ).

cnf(4965,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4963]) ).

cnf(4966,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4964]) ).

cnf(4967,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4965]) ).

cnf(4968,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4966]) ).

cnf(4969,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4967]) ).

cnf(4970,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4968]) ).

cnf(4971,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4969]) ).

cnf(4972,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4970]) ).

cnf(4973,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4971]) ).

cnf(4974,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,4972]) ).

cnf(4975,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,4973]) ).

cnf(4976,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4974]) ).

cnf(4977,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4975]) ).

cnf(4978,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4976]) ).

cnf(4979,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4977]) ).

cnf(4980,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4978]) ).

cnf(4981,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4979]) ).

cnf(4982,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4980]) ).

cnf(4983,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4981]) ).

cnf(4984,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4982]) ).

cnf(4985,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4983]) ).

cnf(4986,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4984]) ).

cnf(4987,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4985]) ).

cnf(4988,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4986]) ).

cnf(4989,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4987]) ).

cnf(4990,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,4988]) ).

cnf(4991,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,4989]) ).

cnf(4992,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4990]) ).

cnf(4993,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4991]) ).

cnf(4994,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,4992]) ).

cnf(4995,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,4993]) ).

cnf(4996,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4994]) ).

cnf(4997,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4995]) ).

cnf(4998,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,4996]) ).

cnf(4999,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,4997]) ).

cnf(5000,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,4998]) ).

cnf(5001,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,4999]) ).

cnf(5002,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5000]) ).

cnf(5003,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5001]) ).

cnf(5004,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5002]) ).

cnf(5005,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5003]) ).

cnf(5006,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,5004]) ).

cnf(5007,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,5005]) ).

cnf(5008,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5006]) ).

cnf(5009,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5007]) ).

cnf(5010,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5008]) ).

cnf(5011,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5009]) ).

cnf(5012,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5010]) ).

cnf(5013,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5011]) ).

cnf(5014,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5012]) ).

cnf(5015,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5013]) ).

cnf(5016,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5014]) ).

cnf(5017,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5015]) ).

cnf(5018,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5016]) ).

cnf(5019,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5017]) ).

cnf(5020,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5018]) ).

cnf(5021,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5019]) ).

cnf(5022,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,5020]) ).

cnf(5023,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,5021]) ).

cnf(5024,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5022]) ).

cnf(5025,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5023]) ).

cnf(5026,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5024]) ).

cnf(5027,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5025]) ).

cnf(5028,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5026]) ).

cnf(5029,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5027]) ).

cnf(5030,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5028]) ).

cnf(5031,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5029]) ).

cnf(5032,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5030]) ).

cnf(5033,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5031]) ).

cnf(5034,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5032]) ).

cnf(5035,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5033]) ).

cnf(5036,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5034]) ).

cnf(5037,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5035]) ).

cnf(5038,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,5036]) ).

cnf(5039,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,5037]) ).

cnf(5040,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5038]) ).

cnf(5041,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5039]) ).

cnf(5042,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5040]) ).

cnf(5043,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5041]) ).

cnf(5044,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5042]) ).

cnf(5045,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5043]) ).

cnf(5046,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5044]) ).

cnf(5047,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5045]) ).

cnf(5048,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5046]) ).

cnf(5049,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5047]) ).

cnf(5050,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5048]) ).

cnf(5051,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5049]) ).

cnf(5052,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5050]) ).

cnf(5053,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5051]) ).

cnf(5054,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,5052]) ).

cnf(5055,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,5053]) ).

cnf(5056,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5054]) ).

cnf(5057,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5055]) ).

cnf(5058,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5056]) ).

cnf(5059,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5057]) ).

cnf(5060,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5058]) ).

cnf(5061,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5059]) ).

cnf(5062,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5060]) ).

cnf(5063,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5061]) ).

cnf(5064,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5062]) ).

cnf(5065,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5063]) ).

cnf(5066,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5064]) ).

cnf(5067,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5065]) ).

cnf(5068,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5066]) ).

cnf(5069,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5067]) ).

cnf(5070,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,5068]) ).

cnf(5071,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,5069]) ).

cnf(5072,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5070]) ).

cnf(5073,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5071]) ).

cnf(5074,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5072]) ).

cnf(5075,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5073]) ).

cnf(5076,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5074]) ).

cnf(5077,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5075]) ).

cnf(5078,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5076]) ).

cnf(5079,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5077]) ).

cnf(5080,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5078]) ).

cnf(5081,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5079]) ).

cnf(5082,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5080]) ).

cnf(5083,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5081]) ).

cnf(5084,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5082]) ).

cnf(5085,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5083]) ).

cnf(5086,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,5084]) ).

cnf(5087,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,5085]) ).

cnf(5088,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5086]) ).

cnf(5089,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5087]) ).

cnf(5090,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5088]) ).

cnf(5091,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5089]) ).

cnf(5092,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5090]) ).

cnf(5093,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5091]) ).

cnf(5094,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5092]) ).

cnf(5095,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5093]) ).

cnf(5096,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5094]) ).

cnf(5097,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5095]) ).

cnf(5098,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5096]) ).

cnf(5099,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5097]) ).

cnf(5100,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5098]) ).

cnf(5101,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5099]) ).

cnf(5102,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,5100]) ).

cnf(5103,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,5101]) ).

cnf(5104,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5102]) ).

cnf(5105,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5103]) ).

cnf(5106,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5104]) ).

cnf(5107,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5105]) ).

cnf(5108,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5106]) ).

cnf(5109,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5107]) ).

cnf(5110,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5108]) ).

cnf(5111,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5109]) ).

cnf(5112,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5110]) ).

cnf(5113,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5111]) ).

cnf(5114,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5112]) ).

cnf(5115,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5113]) ).

cnf(5116,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5114]) ).

cnf(5117,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5115]) ).

cnf(5118,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,5116]) ).

cnf(5119,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,5117]) ).

cnf(5120,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5118]) ).

cnf(5121,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5119]) ).

cnf(5122,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5120]) ).

cnf(5123,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5121]) ).

cnf(5124,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5122]) ).

cnf(5125,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5123]) ).

cnf(5126,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5124]) ).

cnf(5127,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5125]) ).

cnf(5128,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5126]) ).

cnf(5129,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5127]) ).

cnf(5130,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5128]) ).

cnf(5131,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5129]) ).

cnf(5132,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5130]) ).

cnf(5133,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5131]) ).

cnf(5134,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,5132]) ).

cnf(5135,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,5133]) ).

cnf(5136,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5134]) ).

cnf(5137,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5135]) ).

cnf(5138,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5136]) ).

cnf(5139,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5137]) ).

cnf(5140,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5138]) ).

cnf(5141,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5139]) ).

cnf(5142,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5140]) ).

cnf(5143,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5141]) ).

cnf(5144,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5142]) ).

cnf(5145,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5143]) ).

cnf(5146,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5144]) ).

cnf(5147,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5145]) ).

cnf(5148,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5146]) ).

cnf(5149,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5147]) ).

cnf(5150,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[12,5148]) ).

cnf(5151,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[12,5149]) ).

cnf(5152,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5150]) ).

cnf(5153,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5151]) ).

cnf(5154,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5152]) ).

cnf(5155,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5153]) ).

cnf(5156,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5154]) ).

cnf(5157,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5155]) ).

cnf(5158,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5156]) ).

cnf(5159,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5157]) ).

cnf(5160,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5158]) ).

cnf(5161,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5159]) ).

cnf(5162,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5160]) ).

cnf(5163,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5161]) ).

cnf(5164,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5162]) ).

cnf(5165,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5163]) ).

cnf(5166,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,5164]) ).

cnf(5167,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,5165]) ).

cnf(5168,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5166]) ).

cnf(5169,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5167]) ).

cnf(5170,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5168]) ).

cnf(5171,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5169]) ).

cnf(5172,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5170]) ).

cnf(5173,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5171]) ).

cnf(5174,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5172]) ).

cnf(5175,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5173]) ).

cnf(5176,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5174]) ).

cnf(5177,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5175]) ).

cnf(5178,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5176]) ).

cnf(5179,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5177]) ).

cnf(5180,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5178]) ).

cnf(5181,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5179]) ).

cnf(5182,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,5180]) ).

cnf(5183,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,5181]) ).

cnf(5184,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5182]) ).

cnf(5185,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5183]) ).

cnf(5186,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5184]) ).

cnf(5187,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5185]) ).

cnf(5188,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5186]) ).

cnf(5189,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5187]) ).

cnf(5190,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5188]) ).

cnf(5191,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5189]) ).

cnf(5192,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5190]) ).

cnf(5193,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5191]) ).

cnf(5194,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5192]) ).

cnf(5195,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5193]) ).

cnf(5196,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5194]) ).

cnf(5197,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5195]) ).

cnf(5198,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,5196]) ).

cnf(5199,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,5197]) ).

cnf(5200,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5198]) ).

cnf(5201,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5199]) ).

cnf(5202,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5200]) ).

cnf(5203,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5201]) ).

cnf(5204,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5202]) ).

cnf(5205,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5203]) ).

cnf(5206,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5204]) ).

cnf(5207,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5205]) ).

cnf(5208,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5206]) ).

cnf(5209,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5207]) ).

cnf(5210,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5208]) ).

cnf(5211,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5209]) ).

cnf(5212,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5210]) ).

cnf(5213,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5211]) ).

cnf(5214,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,5212]) ).

cnf(5215,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,5213]) ).

cnf(5216,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5214]) ).

cnf(5217,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5215]) ).

cnf(5218,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5216]) ).

cnf(5219,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5217]) ).

cnf(5220,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5218]) ).

cnf(5221,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5219]) ).

cnf(5222,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5220]) ).

cnf(5223,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5221]) ).

cnf(5224,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5222]) ).

cnf(5225,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5223]) ).

cnf(5226,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5224]) ).

cnf(5227,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5225]) ).

cnf(5228,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5226]) ).

cnf(5229,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5227]) ).

cnf(5230,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,5228]) ).

cnf(5231,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,5229]) ).

cnf(5232,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5230]) ).

cnf(5233,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5231]) ).

cnf(5234,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5232]) ).

cnf(5235,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5233]) ).

cnf(5236,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5234]) ).

cnf(5237,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5235]) ).

cnf(5238,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5236]) ).

cnf(5239,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5237]) ).

cnf(5240,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5238]) ).

cnf(5241,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5239]) ).

cnf(5242,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5240]) ).

cnf(5243,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5241]) ).

cnf(5244,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5242]) ).

cnf(5245,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5243]) ).

cnf(5246,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,5244]) ).

cnf(5247,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,5245]) ).

cnf(5248,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5246]) ).

cnf(5249,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5247]) ).

cnf(5250,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5248]) ).

cnf(5251,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5249]) ).

cnf(5252,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5250]) ).

cnf(5253,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5251]) ).

cnf(5254,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5252]) ).

cnf(5255,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5253]) ).

cnf(5256,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5254]) ).

cnf(5257,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5255]) ).

cnf(5258,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5256]) ).

cnf(5259,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5257]) ).

cnf(5260,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5258]) ).

cnf(5261,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5259]) ).

cnf(5262,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,5260]) ).

cnf(5263,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,5261]) ).

cnf(5264,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5262]) ).

cnf(5265,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5263]) ).

cnf(5266,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5264]) ).

cnf(5267,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5265]) ).

cnf(5268,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5266]) ).

cnf(5269,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5267]) ).

cnf(5270,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5268]) ).

cnf(5271,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5269]) ).

cnf(5272,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5270]) ).

cnf(5273,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5271]) ).

cnf(5274,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5272]) ).

cnf(5275,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5273]) ).

cnf(5276,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5274]) ).

cnf(5277,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5275]) ).

cnf(5278,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,5276]) ).

cnf(5279,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,5277]) ).

cnf(5280,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5278]) ).

cnf(5281,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5279]) ).

cnf(5282,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5280]) ).

cnf(5283,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5281]) ).

cnf(5284,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5282]) ).

cnf(5285,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5283]) ).

cnf(5286,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5284]) ).

cnf(5287,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5285]) ).

cnf(5288,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5286]) ).

cnf(5289,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5287]) ).

cnf(5290,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5288]) ).

cnf(5291,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5289]) ).

cnf(5292,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5290]) ).

cnf(5293,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5291]) ).

cnf(5294,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,5292]) ).

cnf(5295,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,5293]) ).

cnf(5296,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5294]) ).

cnf(5297,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5295]) ).

cnf(5298,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5296]) ).

cnf(5299,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5297]) ).

cnf(5300,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5298]) ).

cnf(5301,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5299]) ).

cnf(5302,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5300]) ).

cnf(5303,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5301]) ).

cnf(5304,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5302]) ).

cnf(5305,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5303]) ).

cnf(5306,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5304]) ).

cnf(5307,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5305]) ).

cnf(5308,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5306]) ).

cnf(5309,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5307]) ).

cnf(5310,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,5308]) ).

cnf(5311,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,5309]) ).

cnf(5312,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5310]) ).

cnf(5313,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5311]) ).

cnf(5314,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5312]) ).

cnf(5315,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5313]) ).

cnf(5316,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5314]) ).

cnf(5317,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5315]) ).

cnf(5318,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5316]) ).

cnf(5319,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5317]) ).

cnf(5320,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5318]) ).

cnf(5321,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5319]) ).

cnf(5322,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5320]) ).

cnf(5323,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5321]) ).

cnf(5324,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5322]) ).

cnf(5325,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5323]) ).

cnf(5326,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,5324]) ).

cnf(5327,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,5325]) ).

cnf(5328,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5326]) ).

cnf(5329,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5327]) ).

cnf(5330,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5328]) ).

cnf(5331,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5329]) ).

cnf(5332,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5330]) ).

cnf(5333,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5331]) ).

cnf(5334,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5332]) ).

cnf(5335,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5333]) ).

cnf(5336,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5334]) ).

cnf(5337,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5335]) ).

cnf(5338,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5336]) ).

cnf(5339,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5337]) ).

cnf(5340,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5338]) ).

cnf(5341,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5339]) ).

cnf(5342,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,5340]) ).

cnf(5343,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,5341]) ).

cnf(5344,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5342]) ).

cnf(5345,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5343]) ).

cnf(5346,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5344]) ).

cnf(5347,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5345]) ).

cnf(5348,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5346]) ).

cnf(5349,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5347]) ).

cnf(5350,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5348]) ).

cnf(5351,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5349]) ).

cnf(5352,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5350]) ).

cnf(5353,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5351]) ).

cnf(5354,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5352]) ).

cnf(5355,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5353]) ).

cnf(5356,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5354]) ).

cnf(5357,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5355]) ).

cnf(5358,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,5356]) ).

cnf(5359,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,5357]) ).

cnf(5360,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5358]) ).

cnf(5361,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5359]) ).

cnf(5362,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5360]) ).

cnf(5363,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5361]) ).

cnf(5364,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5362]) ).

cnf(5365,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5363]) ).

cnf(5366,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5364]) ).

cnf(5367,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5365]) ).

cnf(5368,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5366]) ).

cnf(5369,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5367]) ).

cnf(5370,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5368]) ).

cnf(5371,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5369]) ).

cnf(5372,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5370]) ).

cnf(5373,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5371]) ).

cnf(5374,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,5372]) ).

cnf(5375,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,5373]) ).

cnf(5376,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5374]) ).

cnf(5377,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5375]) ).

cnf(5378,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5376]) ).

cnf(5379,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5377]) ).

cnf(5380,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5378]) ).

cnf(5381,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5379]) ).

cnf(5382,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5380]) ).

cnf(5383,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5381]) ).

cnf(5384,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5382]) ).

cnf(5385,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5383]) ).

cnf(5386,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5384]) ).

cnf(5387,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5385]) ).

cnf(5388,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5386]) ).

cnf(5389,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5387]) ).

cnf(5390,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,5388]) ).

cnf(5391,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,5389]) ).

cnf(5392,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5390]) ).

cnf(5393,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5391]) ).

cnf(5394,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5392]) ).

cnf(5395,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5393]) ).

cnf(5396,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5394]) ).

cnf(5397,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5395]) ).

cnf(5398,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5396]) ).

cnf(5399,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5397]) ).

cnf(5400,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5398]) ).

cnf(5401,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5399]) ).

cnf(5402,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5400]) ).

cnf(5403,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5401]) ).

cnf(5404,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5402]) ).

cnf(5405,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5403]) ).

cnf(5406,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,5404]) ).

cnf(5407,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,5405]) ).

cnf(5408,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5406]) ).

cnf(5409,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5407]) ).

cnf(5410,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5408]) ).

cnf(5411,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5409]) ).

cnf(5412,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5410]) ).

cnf(5413,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5411]) ).

cnf(5414,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5412]) ).

cnf(5415,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5413]) ).

cnf(5416,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5414]) ).

cnf(5417,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5415]) ).

cnf(5418,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5416]) ).

cnf(5419,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5417]) ).

cnf(5420,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5418]) ).

cnf(5421,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5419]) ).

cnf(5422,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,5420]) ).

cnf(5423,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,5421]) ).

cnf(5424,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5422]) ).

cnf(5425,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5423]) ).

cnf(5426,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5424]) ).

cnf(5427,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5425]) ).

cnf(5428,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5426]) ).

cnf(5429,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5427]) ).

cnf(5430,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5428]) ).

cnf(5431,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5429]) ).

cnf(5432,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5430]) ).

cnf(5433,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5431]) ).

cnf(5434,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5432]) ).

cnf(5435,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5433]) ).

cnf(5436,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5434]) ).

cnf(5437,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5435]) ).

cnf(5438,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,5436]) ).

cnf(5439,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,5437]) ).

cnf(5440,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5438]) ).

cnf(5441,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5439]) ).

cnf(5442,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5440]) ).

cnf(5443,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5441]) ).

cnf(5444,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5442]) ).

cnf(5445,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5443]) ).

cnf(5446,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5444]) ).

cnf(5447,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5445]) ).

cnf(5448,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5446]) ).

cnf(5449,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5447]) ).

cnf(5450,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5448]) ).

cnf(5451,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5449]) ).

cnf(5452,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5450]) ).

cnf(5453,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5451]) ).

cnf(5454,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,5452]) ).

cnf(5455,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,5453]) ).

cnf(5456,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5454]) ).

cnf(5457,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5455]) ).

cnf(5458,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5456]) ).

cnf(5459,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5457]) ).

cnf(5460,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5458]) ).

cnf(5461,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5459]) ).

cnf(5462,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5460]) ).

cnf(5463,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5461]) ).

cnf(5464,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5462]) ).

cnf(5465,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5463]) ).

cnf(5466,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5464]) ).

cnf(5467,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5465]) ).

cnf(5468,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5466]) ).

cnf(5469,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5467]) ).

cnf(5470,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,5468]) ).

cnf(5471,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,5469]) ).

cnf(5472,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5470]) ).

cnf(5473,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5471]) ).

cnf(5474,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5472]) ).

cnf(5475,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5473]) ).

cnf(5476,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5474]) ).

cnf(5477,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5475]) ).

cnf(5478,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5476]) ).

cnf(5479,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5477]) ).

cnf(5480,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5478]) ).

cnf(5481,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5479]) ).

cnf(5482,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5480]) ).

cnf(5483,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5481]) ).

cnf(5484,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5482]) ).

cnf(5485,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5483]) ).

cnf(5486,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,5484]) ).

cnf(5487,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,5485]) ).

cnf(5488,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5486]) ).

cnf(5489,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5487]) ).

cnf(5490,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5488]) ).

cnf(5491,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5489]) ).

cnf(5492,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5490]) ).

cnf(5493,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5491]) ).

cnf(5494,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5492]) ).

cnf(5495,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5493]) ).

cnf(5496,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5494]) ).

cnf(5497,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5495]) ).

cnf(5498,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5496]) ).

cnf(5499,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5497]) ).

cnf(5500,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5498]) ).

cnf(5501,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5499]) ).

cnf(5502,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,5500]) ).

cnf(5503,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,5501]) ).

cnf(5504,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5502]) ).

cnf(5505,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5503]) ).

cnf(5506,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5504]) ).

cnf(5507,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5505]) ).

cnf(5508,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5506]) ).

cnf(5509,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5507]) ).

cnf(5510,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5508]) ).

cnf(5511,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5509]) ).

cnf(5512,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5510]) ).

cnf(5513,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5511]) ).

cnf(5514,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5512]) ).

cnf(5515,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5513]) ).

cnf(5516,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5514]) ).

cnf(5517,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5515]) ).

cnf(5518,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,5516]) ).

cnf(5519,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,5517]) ).

cnf(5520,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5518]) ).

cnf(5521,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5519]) ).

cnf(5522,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5520]) ).

cnf(5523,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5521]) ).

cnf(5524,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5522]) ).

cnf(5525,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5523]) ).

cnf(5526,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5524]) ).

cnf(5527,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5525]) ).

cnf(5528,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5526]) ).

cnf(5529,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5527]) ).

cnf(5530,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5528]) ).

cnf(5531,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5529]) ).

cnf(5532,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5530]) ).

cnf(5533,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5531]) ).

cnf(5534,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,5532]) ).

cnf(5535,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,5533]) ).

cnf(5536,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5534]) ).

cnf(5537,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5535]) ).

cnf(5538,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5536]) ).

cnf(5539,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5537]) ).

cnf(5540,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5538]) ).

cnf(5541,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5539]) ).

cnf(5542,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5540]) ).

cnf(5543,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5541]) ).

cnf(5544,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5542]) ).

cnf(5545,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5543]) ).

cnf(5546,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5544]) ).

cnf(5547,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5545]) ).

cnf(5548,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5546]) ).

cnf(5549,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5547]) ).

cnf(5550,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,5548]) ).

cnf(5551,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,5549]) ).

cnf(5552,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5550]) ).

cnf(5553,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5551]) ).

cnf(5554,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5552]) ).

cnf(5555,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5553]) ).

cnf(5556,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5554]) ).

cnf(5557,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5555]) ).

cnf(5558,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5556]) ).

cnf(5559,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5557]) ).

cnf(5560,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5558]) ).

cnf(5561,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5559]) ).

cnf(5562,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5560]) ).

cnf(5563,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5561]) ).

cnf(5564,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5562]) ).

cnf(5565,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5563]) ).

cnf(5566,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,5564]) ).

cnf(5567,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,5565]) ).

cnf(5568,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5566]) ).

cnf(5569,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5567]) ).

cnf(5570,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5568]) ).

cnf(5571,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5569]) ).

cnf(5572,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5570]) ).

cnf(5573,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5571]) ).

cnf(5574,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5572]) ).

cnf(5575,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5573]) ).

cnf(5576,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5574]) ).

cnf(5577,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5575]) ).

cnf(5578,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5576]) ).

cnf(5579,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5577]) ).

cnf(5580,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5578]) ).

cnf(5581,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5579]) ).

cnf(5582,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,5580]) ).

cnf(5583,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,5581]) ).

cnf(5584,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5582]) ).

cnf(5585,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5583]) ).

cnf(5586,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5584]) ).

cnf(5587,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5585]) ).

cnf(5588,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5586]) ).

cnf(5589,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5587]) ).

cnf(5590,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5588]) ).

cnf(5591,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5589]) ).

cnf(5592,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5590]) ).

cnf(5593,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5591]) ).

cnf(5594,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5592]) ).

cnf(5595,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5593]) ).

cnf(5596,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5594]) ).

cnf(5597,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5595]) ).

cnf(5598,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,5596]) ).

cnf(5599,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,5597]) ).

cnf(5600,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5598]) ).

cnf(5601,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5599]) ).

cnf(5602,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5600]) ).

cnf(5603,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5601]) ).

cnf(5604,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5602]) ).

cnf(5605,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5603]) ).

cnf(5606,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5604]) ).

cnf(5607,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5605]) ).

cnf(5608,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5606]) ).

cnf(5609,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5607]) ).

cnf(5610,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5608]) ).

cnf(5611,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5609]) ).

cnf(5612,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5610]) ).

cnf(5613,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5611]) ).

cnf(5614,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,5612]) ).

cnf(5615,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,5613]) ).

cnf(5616,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5614]) ).

cnf(5617,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5615]) ).

cnf(5618,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5616]) ).

cnf(5619,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5617]) ).

cnf(5620,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5618]) ).

cnf(5621,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5619]) ).

cnf(5622,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5620]) ).

cnf(5623,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5621]) ).

cnf(5624,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5622]) ).

cnf(5625,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5623]) ).

cnf(5626,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5624]) ).

cnf(5627,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5625]) ).

cnf(5628,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5626]) ).

cnf(5629,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5627]) ).

cnf(5630,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,5628]) ).

cnf(5631,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,5629]) ).

cnf(5632,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5630]) ).

cnf(5633,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5631]) ).

cnf(5634,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5632]) ).

cnf(5635,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5633]) ).

cnf(5636,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5634]) ).

cnf(5637,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5635]) ).

cnf(5638,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5636]) ).

cnf(5639,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5637]) ).

cnf(5640,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5638]) ).

cnf(5641,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5639]) ).

cnf(5642,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5640]) ).

cnf(5643,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5641]) ).

cnf(5644,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5642]) ).

cnf(5645,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5643]) ).

cnf(5646,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,5644]) ).

cnf(5647,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,5645]) ).

cnf(5648,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5646]) ).

cnf(5649,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5647]) ).

cnf(5650,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5648]) ).

cnf(5651,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5649]) ).

cnf(5652,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5650]) ).

cnf(5653,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5651]) ).

cnf(5654,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5652]) ).

cnf(5655,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5653]) ).

cnf(5656,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5654]) ).

cnf(5657,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5655]) ).

cnf(5658,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5656]) ).

cnf(5659,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5657]) ).

cnf(5660,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5658]) ).

cnf(5661,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5659]) ).

cnf(5662,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[11,5660]) ).

cnf(5663,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[11,5661]) ).

cnf(5664,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5662]) ).

cnf(5665,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5663]) ).

cnf(5666,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5664]) ).

cnf(5667,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5665]) ).

cnf(5668,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5666]) ).

cnf(5669,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5667]) ).

cnf(5670,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5668]) ).

cnf(5671,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5669]) ).

cnf(5672,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5670]) ).

cnf(5673,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5671]) ).

cnf(5674,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5672]) ).

cnf(5675,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5673]) ).

cnf(5676,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5674]) ).

cnf(5677,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5675]) ).

cnf(5678,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,5676]) ).

cnf(5679,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,5677]) ).

cnf(5680,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5678]) ).

cnf(5681,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5679]) ).

cnf(5682,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5680]) ).

cnf(5683,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5681]) ).

cnf(5684,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5682]) ).

cnf(5685,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5683]) ).

cnf(5686,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5684]) ).

cnf(5687,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5685]) ).

cnf(5688,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5686]) ).

cnf(5689,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5687]) ).

cnf(5690,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5688]) ).

cnf(5691,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5689]) ).

cnf(5692,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5690]) ).

cnf(5693,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5691]) ).

cnf(5694,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,5692]) ).

cnf(5695,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,5693]) ).

cnf(5696,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5694]) ).

cnf(5697,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5695]) ).

cnf(5698,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5696]) ).

cnf(5699,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5697]) ).

cnf(5700,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5698]) ).

cnf(5701,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5699]) ).

cnf(5702,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5700]) ).

cnf(5703,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5701]) ).

cnf(5704,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5702]) ).

cnf(5705,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5703]) ).

cnf(5706,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5704]) ).

cnf(5707,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5705]) ).

cnf(5708,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5706]) ).

cnf(5709,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5707]) ).

cnf(5710,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,5708]) ).

cnf(5711,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,5709]) ).

cnf(5712,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5710]) ).

cnf(5713,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5711]) ).

cnf(5714,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5712]) ).

cnf(5715,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5713]) ).

cnf(5716,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5714]) ).

cnf(5717,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5715]) ).

cnf(5718,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5716]) ).

cnf(5719,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5717]) ).

cnf(5720,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5718]) ).

cnf(5721,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5719]) ).

cnf(5722,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5720]) ).

cnf(5723,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5721]) ).

cnf(5724,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5722]) ).

cnf(5725,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5723]) ).

cnf(5726,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,5724]) ).

cnf(5727,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,5725]) ).

cnf(5728,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5726]) ).

cnf(5729,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5727]) ).

cnf(5730,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5728]) ).

cnf(5731,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5729]) ).

cnf(5732,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5730]) ).

cnf(5733,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5731]) ).

cnf(5734,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5732]) ).

cnf(5735,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5733]) ).

cnf(5736,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5734]) ).

cnf(5737,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5735]) ).

cnf(5738,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5736]) ).

cnf(5739,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5737]) ).

cnf(5740,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5738]) ).

cnf(5741,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5739]) ).

cnf(5742,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,5740]) ).

cnf(5743,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,5741]) ).

cnf(5744,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5742]) ).

cnf(5745,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5743]) ).

cnf(5746,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5744]) ).

cnf(5747,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5745]) ).

cnf(5748,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5746]) ).

cnf(5749,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5747]) ).

cnf(5750,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5748]) ).

cnf(5751,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5749]) ).

cnf(5752,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5750]) ).

cnf(5753,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5751]) ).

cnf(5754,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5752]) ).

cnf(5755,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5753]) ).

cnf(5756,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5754]) ).

cnf(5757,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5755]) ).

cnf(5758,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,5756]) ).

cnf(5759,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,5757]) ).

cnf(5760,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5758]) ).

cnf(5761,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5759]) ).

cnf(5762,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5760]) ).

cnf(5763,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5761]) ).

cnf(5764,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5762]) ).

cnf(5765,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5763]) ).

cnf(5766,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5764]) ).

cnf(5767,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5765]) ).

cnf(5768,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5766]) ).

cnf(5769,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5767]) ).

cnf(5770,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5768]) ).

cnf(5771,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5769]) ).

cnf(5772,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5770]) ).

cnf(5773,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5771]) ).

cnf(5774,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,5772]) ).

cnf(5775,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,5773]) ).

cnf(5776,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5774]) ).

cnf(5777,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5775]) ).

cnf(5778,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5776]) ).

cnf(5779,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5777]) ).

cnf(5780,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5778]) ).

cnf(5781,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5779]) ).

cnf(5782,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5780]) ).

cnf(5783,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5781]) ).

cnf(5784,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5782]) ).

cnf(5785,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5783]) ).

cnf(5786,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5784]) ).

cnf(5787,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5785]) ).

cnf(5788,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5786]) ).

cnf(5789,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5787]) ).

cnf(5790,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,5788]) ).

cnf(5791,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,5789]) ).

cnf(5792,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5790]) ).

cnf(5793,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5791]) ).

cnf(5794,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5792]) ).

cnf(5795,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5793]) ).

cnf(5796,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5794]) ).

cnf(5797,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5795]) ).

cnf(5798,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5796]) ).

cnf(5799,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5797]) ).

cnf(5800,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5798]) ).

cnf(5801,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5799]) ).

cnf(5802,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5800]) ).

cnf(5803,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5801]) ).

cnf(5804,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5802]) ).

cnf(5805,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5803]) ).

cnf(5806,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,5804]) ).

cnf(5807,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,5805]) ).

cnf(5808,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5806]) ).

cnf(5809,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5807]) ).

cnf(5810,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5808]) ).

cnf(5811,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5809]) ).

cnf(5812,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5810]) ).

cnf(5813,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5811]) ).

cnf(5814,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5812]) ).

cnf(5815,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5813]) ).

cnf(5816,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5814]) ).

cnf(5817,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5815]) ).

cnf(5818,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5816]) ).

cnf(5819,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5817]) ).

cnf(5820,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5818]) ).

cnf(5821,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5819]) ).

cnf(5822,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,5820]) ).

cnf(5823,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,5821]) ).

cnf(5824,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5822]) ).

cnf(5825,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5823]) ).

cnf(5826,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5824]) ).

cnf(5827,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5825]) ).

cnf(5828,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5826]) ).

cnf(5829,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5827]) ).

cnf(5830,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5828]) ).

cnf(5831,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5829]) ).

cnf(5832,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5830]) ).

cnf(5833,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5831]) ).

cnf(5834,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5832]) ).

cnf(5835,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5833]) ).

cnf(5836,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5834]) ).

cnf(5837,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5835]) ).

cnf(5838,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,5836]) ).

cnf(5839,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,5837]) ).

cnf(5840,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5838]) ).

cnf(5841,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5839]) ).

cnf(5842,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5840]) ).

cnf(5843,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5841]) ).

cnf(5844,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5842]) ).

cnf(5845,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5843]) ).

cnf(5846,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5844]) ).

cnf(5847,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5845]) ).

cnf(5848,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5846]) ).

cnf(5849,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5847]) ).

cnf(5850,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5848]) ).

cnf(5851,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5849]) ).

cnf(5852,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5850]) ).

cnf(5853,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5851]) ).

cnf(5854,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,5852]) ).

cnf(5855,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,5853]) ).

cnf(5856,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5854]) ).

cnf(5857,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5855]) ).

cnf(5858,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5856]) ).

cnf(5859,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5857]) ).

cnf(5860,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5858]) ).

cnf(5861,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5859]) ).

cnf(5862,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5860]) ).

cnf(5863,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5861]) ).

cnf(5864,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5862]) ).

cnf(5865,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5863]) ).

cnf(5866,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5864]) ).

cnf(5867,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5865]) ).

cnf(5868,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5866]) ).

cnf(5869,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5867]) ).

cnf(5870,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,5868]) ).

cnf(5871,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,5869]) ).

cnf(5872,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5870]) ).

cnf(5873,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5871]) ).

cnf(5874,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5872]) ).

cnf(5875,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5873]) ).

cnf(5876,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5874]) ).

cnf(5877,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5875]) ).

cnf(5878,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5876]) ).

cnf(5879,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5877]) ).

cnf(5880,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5878]) ).

cnf(5881,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5879]) ).

cnf(5882,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5880]) ).

cnf(5883,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5881]) ).

cnf(5884,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5882]) ).

cnf(5885,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5883]) ).

cnf(5886,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,5884]) ).

cnf(5887,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,5885]) ).

cnf(5888,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5886]) ).

cnf(5889,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5887]) ).

cnf(5890,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5888]) ).

cnf(5891,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5889]) ).

cnf(5892,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5890]) ).

cnf(5893,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5891]) ).

cnf(5894,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5892]) ).

cnf(5895,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5893]) ).

cnf(5896,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5894]) ).

cnf(5897,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5895]) ).

cnf(5898,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5896]) ).

cnf(5899,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5897]) ).

cnf(5900,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5898]) ).

cnf(5901,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5899]) ).

cnf(5902,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,5900]) ).

cnf(5903,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,5901]) ).

cnf(5904,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5902]) ).

cnf(5905,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5903]) ).

cnf(5906,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5904]) ).

cnf(5907,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5905]) ).

cnf(5908,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5906]) ).

cnf(5909,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5907]) ).

cnf(5910,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5908]) ).

cnf(5911,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5909]) ).

cnf(5912,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5910]) ).

cnf(5913,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5911]) ).

cnf(5914,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5912]) ).

cnf(5915,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5913]) ).

cnf(5916,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5914]) ).

cnf(5917,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5915]) ).

cnf(5918,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,5916]) ).

cnf(5919,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,5917]) ).

cnf(5920,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5918]) ).

cnf(5921,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5919]) ).

cnf(5922,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5920]) ).

cnf(5923,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5921]) ).

cnf(5924,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5922]) ).

cnf(5925,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5923]) ).

cnf(5926,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5924]) ).

cnf(5927,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5925]) ).

cnf(5928,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5926]) ).

cnf(5929,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5927]) ).

cnf(5930,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5928]) ).

cnf(5931,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5929]) ).

cnf(5932,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5930]) ).

cnf(5933,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5931]) ).

cnf(5934,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,5932]) ).

cnf(5935,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,5933]) ).

cnf(5936,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5934]) ).

cnf(5937,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5935]) ).

cnf(5938,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5936]) ).

cnf(5939,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5937]) ).

cnf(5940,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5938]) ).

cnf(5941,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5939]) ).

cnf(5942,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5940]) ).

cnf(5943,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5941]) ).

cnf(5944,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5942]) ).

cnf(5945,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5943]) ).

cnf(5946,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5944]) ).

cnf(5947,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5945]) ).

cnf(5948,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5946]) ).

cnf(5949,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5947]) ).

cnf(5950,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,5948]) ).

cnf(5951,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,5949]) ).

cnf(5952,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5950]) ).

cnf(5953,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5951]) ).

cnf(5954,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5952]) ).

cnf(5955,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5953]) ).

cnf(5956,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5954]) ).

cnf(5957,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5955]) ).

cnf(5958,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5956]) ).

cnf(5959,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5957]) ).

cnf(5960,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5958]) ).

cnf(5961,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5959]) ).

cnf(5962,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5960]) ).

cnf(5963,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5961]) ).

cnf(5964,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5962]) ).

cnf(5965,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5963]) ).

cnf(5966,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,5964]) ).

cnf(5967,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,5965]) ).

cnf(5968,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5966]) ).

cnf(5969,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5967]) ).

cnf(5970,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5968]) ).

cnf(5971,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5969]) ).

cnf(5972,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5970]) ).

cnf(5973,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5971]) ).

cnf(5974,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5972]) ).

cnf(5975,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5973]) ).

cnf(5976,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5974]) ).

cnf(5977,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5975]) ).

cnf(5978,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5976]) ).

cnf(5979,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5977]) ).

cnf(5980,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5978]) ).

cnf(5981,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5979]) ).

cnf(5982,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,5980]) ).

cnf(5983,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,5981]) ).

cnf(5984,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5982]) ).

cnf(5985,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5983]) ).

cnf(5986,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5984]) ).

cnf(5987,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5985]) ).

cnf(5988,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5986]) ).

cnf(5989,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5987]) ).

cnf(5990,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,5988]) ).

cnf(5991,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,5989]) ).

cnf(5992,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5990]) ).

cnf(5993,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5991]) ).

cnf(5994,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,5992]) ).

cnf(5995,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,5993]) ).

cnf(5996,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5994]) ).

cnf(5997,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5995]) ).

cnf(5998,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,5996]) ).

cnf(5999,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,5997]) ).

cnf(6000,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,5998]) ).

cnf(6001,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,5999]) ).

cnf(6002,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6000]) ).

cnf(6003,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6001]) ).

cnf(6004,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6002]) ).

cnf(6005,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6003]) ).

cnf(6006,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6004]) ).

cnf(6007,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6005]) ).

cnf(6008,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6006]) ).

cnf(6009,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6007]) ).

cnf(6010,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6008]) ).

cnf(6011,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6009]) ).

cnf(6012,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6010]) ).

cnf(6013,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6011]) ).

cnf(6014,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,6012]) ).

cnf(6015,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,6013]) ).

cnf(6016,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6014]) ).

cnf(6017,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6015]) ).

cnf(6018,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6016]) ).

cnf(6019,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6017]) ).

cnf(6020,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6018]) ).

cnf(6021,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6019]) ).

cnf(6022,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6020]) ).

cnf(6023,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6021]) ).

cnf(6024,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6022]) ).

cnf(6025,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6023]) ).

cnf(6026,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6024]) ).

cnf(6027,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6025]) ).

cnf(6028,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6026]) ).

cnf(6029,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6027]) ).

cnf(6030,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,6028]) ).

cnf(6031,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,6029]) ).

cnf(6032,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6030]) ).

cnf(6033,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6031]) ).

cnf(6034,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6032]) ).

cnf(6035,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6033]) ).

cnf(6036,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6034]) ).

cnf(6037,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6035]) ).

cnf(6038,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6036]) ).

cnf(6039,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6037]) ).

cnf(6040,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6038]) ).

cnf(6041,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6039]) ).

cnf(6042,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6040]) ).

cnf(6043,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6041]) ).

cnf(6044,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6042]) ).

cnf(6045,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6043]) ).

cnf(6046,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,6044]) ).

cnf(6047,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,6045]) ).

cnf(6048,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6046]) ).

cnf(6049,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6047]) ).

cnf(6050,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6048]) ).

cnf(6051,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6049]) ).

cnf(6052,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6050]) ).

cnf(6053,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6051]) ).

cnf(6054,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6052]) ).

cnf(6055,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6053]) ).

cnf(6056,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6054]) ).

cnf(6057,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6055]) ).

cnf(6058,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6056]) ).

cnf(6059,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6057]) ).

cnf(6060,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6058]) ).

cnf(6061,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6059]) ).

cnf(6062,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,6060]) ).

cnf(6063,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,6061]) ).

cnf(6064,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6062]) ).

cnf(6065,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6063]) ).

cnf(6066,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6064]) ).

cnf(6067,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6065]) ).

cnf(6068,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6066]) ).

cnf(6069,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6067]) ).

cnf(6070,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6068]) ).

cnf(6071,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6069]) ).

cnf(6072,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6070]) ).

cnf(6073,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6071]) ).

cnf(6074,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6072]) ).

cnf(6075,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6073]) ).

cnf(6076,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6074]) ).

cnf(6077,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6075]) ).

cnf(6078,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,6076]) ).

cnf(6079,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,6077]) ).

cnf(6080,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6078]) ).

cnf(6081,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6079]) ).

cnf(6082,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6080]) ).

cnf(6083,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6081]) ).

cnf(6084,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6082]) ).

cnf(6085,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6083]) ).

cnf(6086,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6084]) ).

cnf(6087,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6085]) ).

cnf(6088,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6086]) ).

cnf(6089,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6087]) ).

cnf(6090,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6088]) ).

cnf(6091,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6089]) ).

cnf(6092,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6090]) ).

cnf(6093,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6091]) ).

cnf(6094,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,6092]) ).

cnf(6095,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,6093]) ).

cnf(6096,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6094]) ).

cnf(6097,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6095]) ).

cnf(6098,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6096]) ).

cnf(6099,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6097]) ).

cnf(6100,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6098]) ).

cnf(6101,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6099]) ).

cnf(6102,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6100]) ).

cnf(6103,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6101]) ).

cnf(6104,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6102]) ).

cnf(6105,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6103]) ).

cnf(6106,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6104]) ).

cnf(6107,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6105]) ).

cnf(6108,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6106]) ).

cnf(6109,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6107]) ).

cnf(6110,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,6108]) ).

cnf(6111,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,6109]) ).

cnf(6112,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6110]) ).

cnf(6113,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6111]) ).

cnf(6114,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6112]) ).

cnf(6115,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6113]) ).

cnf(6116,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6114]) ).

cnf(6117,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6115]) ).

cnf(6118,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6116]) ).

cnf(6119,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6117]) ).

cnf(6120,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6118]) ).

cnf(6121,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6119]) ).

cnf(6122,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6120]) ).

cnf(6123,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6121]) ).

cnf(6124,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6122]) ).

cnf(6125,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6123]) ).

cnf(6126,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,6124]) ).

cnf(6127,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,6125]) ).

cnf(6128,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6126]) ).

cnf(6129,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6127]) ).

cnf(6130,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6128]) ).

cnf(6131,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6129]) ).

cnf(6132,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6130]) ).

cnf(6133,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6131]) ).

cnf(6134,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6132]) ).

cnf(6135,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6133]) ).

cnf(6136,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6134]) ).

cnf(6137,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6135]) ).

cnf(6138,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6136]) ).

cnf(6139,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6137]) ).

cnf(6140,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6138]) ).

cnf(6141,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6139]) ).

cnf(6142,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,6140]) ).

cnf(6143,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,6141]) ).

cnf(6144,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6142]) ).

cnf(6145,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6143]) ).

cnf(6146,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6144]) ).

cnf(6147,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6145]) ).

cnf(6148,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6146]) ).

cnf(6149,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6147]) ).

cnf(6150,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6148]) ).

cnf(6151,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6149]) ).

cnf(6152,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6150]) ).

cnf(6153,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6151]) ).

cnf(6154,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6152]) ).

cnf(6155,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6153]) ).

cnf(6156,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6154]) ).

cnf(6157,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6155]) ).

cnf(6158,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,6156]) ).

cnf(6159,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,6157]) ).

cnf(6160,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6158]) ).

cnf(6161,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6159]) ).

cnf(6162,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6160]) ).

cnf(6163,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6161]) ).

cnf(6164,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6162]) ).

cnf(6165,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6163]) ).

cnf(6166,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6164]) ).

cnf(6167,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6165]) ).

cnf(6168,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6166]) ).

cnf(6169,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6167]) ).

cnf(6170,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6168]) ).

cnf(6171,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6169]) ).

cnf(6172,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6170]) ).

cnf(6173,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6171]) ).

cnf(6174,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[13,6172]) ).

cnf(6175,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[13,6173]) ).

cnf(6176,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6174]) ).

cnf(6177,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6175]) ).

cnf(6178,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6176]) ).

cnf(6179,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6177]) ).

cnf(6180,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6178]) ).

cnf(6181,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6179]) ).

cnf(6182,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6180]) ).

cnf(6183,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6181]) ).

cnf(6184,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6182]) ).

cnf(6185,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6183]) ).

cnf(6186,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6184]) ).

cnf(6187,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6185]) ).

cnf(6188,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6186]) ).

cnf(6189,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6187]) ).

cnf(6190,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,6188]) ).

cnf(6191,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,6189]) ).

cnf(6192,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6190]) ).

cnf(6193,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6191]) ).

cnf(6194,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6192]) ).

cnf(6195,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6193]) ).

cnf(6196,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6194]) ).

cnf(6197,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6195]) ).

cnf(6198,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6196]) ).

cnf(6199,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6197]) ).

cnf(6200,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6198]) ).

cnf(6201,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6199]) ).

cnf(6202,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6200]) ).

cnf(6203,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6201]) ).

cnf(6204,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6202]) ).

cnf(6205,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6203]) ).

cnf(6206,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,6204]) ).

cnf(6207,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,6205]) ).

cnf(6208,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6206]) ).

cnf(6209,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6207]) ).

cnf(6210,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6208]) ).

cnf(6211,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6209]) ).

cnf(6212,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6210]) ).

cnf(6213,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6211]) ).

cnf(6214,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6212]) ).

cnf(6215,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6213]) ).

cnf(6216,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6214]) ).

cnf(6217,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6215]) ).

cnf(6218,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6216]) ).

cnf(6219,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6217]) ).

cnf(6220,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6218]) ).

cnf(6221,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6219]) ).

cnf(6222,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,6220]) ).

cnf(6223,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,6221]) ).

cnf(6224,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6222]) ).

cnf(6225,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6223]) ).

cnf(6226,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6224]) ).

cnf(6227,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6225]) ).

cnf(6228,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6226]) ).

cnf(6229,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6227]) ).

cnf(6230,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6228]) ).

cnf(6231,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6229]) ).

cnf(6232,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6230]) ).

cnf(6233,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6231]) ).

cnf(6234,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6232]) ).

cnf(6235,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6233]) ).

cnf(6236,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6234]) ).

cnf(6237,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6235]) ).

cnf(6238,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,6236]) ).

cnf(6239,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,6237]) ).

cnf(6240,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6238]) ).

cnf(6241,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6239]) ).

cnf(6242,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6240]) ).

cnf(6243,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6241]) ).

cnf(6244,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6242]) ).

cnf(6245,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6243]) ).

cnf(6246,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6244]) ).

cnf(6247,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6245]) ).

cnf(6248,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6246]) ).

cnf(6249,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6247]) ).

cnf(6250,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6248]) ).

cnf(6251,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6249]) ).

cnf(6252,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6250]) ).

cnf(6253,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6251]) ).

cnf(6254,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,6252]) ).

cnf(6255,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,6253]) ).

cnf(6256,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6254]) ).

cnf(6257,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6255]) ).

cnf(6258,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6256]) ).

cnf(6259,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6257]) ).

cnf(6260,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6258]) ).

cnf(6261,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6259]) ).

cnf(6262,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6260]) ).

cnf(6263,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6261]) ).

cnf(6264,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6262]) ).

cnf(6265,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6263]) ).

cnf(6266,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6264]) ).

cnf(6267,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6265]) ).

cnf(6268,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6266]) ).

cnf(6269,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6267]) ).

cnf(6270,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,6268]) ).

cnf(6271,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,6269]) ).

cnf(6272,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6270]) ).

cnf(6273,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6271]) ).

cnf(6274,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6272]) ).

cnf(6275,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6273]) ).

cnf(6276,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6274]) ).

cnf(6277,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6275]) ).

cnf(6278,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6276]) ).

cnf(6279,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6277]) ).

cnf(6280,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6278]) ).

cnf(6281,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6279]) ).

cnf(6282,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6280]) ).

cnf(6283,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6281]) ).

cnf(6284,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6282]) ).

cnf(6285,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6283]) ).

cnf(6286,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,6284]) ).

cnf(6287,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,6285]) ).

cnf(6288,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6286]) ).

cnf(6289,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6287]) ).

cnf(6290,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6288]) ).

cnf(6291,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6289]) ).

cnf(6292,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6290]) ).

cnf(6293,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6291]) ).

cnf(6294,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6292]) ).

cnf(6295,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6293]) ).

cnf(6296,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6294]) ).

cnf(6297,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6295]) ).

cnf(6298,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6296]) ).

cnf(6299,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6297]) ).

cnf(6300,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6298]) ).

cnf(6301,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6299]) ).

cnf(6302,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,6300]) ).

cnf(6303,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,6301]) ).

cnf(6304,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6302]) ).

cnf(6305,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6303]) ).

cnf(6306,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6304]) ).

cnf(6307,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6305]) ).

cnf(6308,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6306]) ).

cnf(6309,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6307]) ).

cnf(6310,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6308]) ).

cnf(6311,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6309]) ).

cnf(6312,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6310]) ).

cnf(6313,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6311]) ).

cnf(6314,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6312]) ).

cnf(6315,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6313]) ).

cnf(6316,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6314]) ).

cnf(6317,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6315]) ).

cnf(6318,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,6316]) ).

cnf(6319,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,6317]) ).

cnf(6320,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6318]) ).

cnf(6321,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6319]) ).

cnf(6322,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6320]) ).

cnf(6323,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6321]) ).

cnf(6324,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6322]) ).

cnf(6325,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6323]) ).

cnf(6326,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6324]) ).

cnf(6327,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6325]) ).

cnf(6328,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6326]) ).

cnf(6329,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6327]) ).

cnf(6330,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6328]) ).

cnf(6331,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6329]) ).

cnf(6332,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6330]) ).

cnf(6333,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6331]) ).

cnf(6334,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,6332]) ).

cnf(6335,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,6333]) ).

cnf(6336,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6334]) ).

cnf(6337,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6335]) ).

cnf(6338,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6336]) ).

cnf(6339,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6337]) ).

cnf(6340,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6338]) ).

cnf(6341,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6339]) ).

cnf(6342,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6340]) ).

cnf(6343,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6341]) ).

cnf(6344,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6342]) ).

cnf(6345,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6343]) ).

cnf(6346,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6344]) ).

cnf(6347,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6345]) ).

cnf(6348,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6346]) ).

cnf(6349,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6347]) ).

cnf(6350,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,6348]) ).

cnf(6351,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,6349]) ).

cnf(6352,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6350]) ).

cnf(6353,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6351]) ).

cnf(6354,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6352]) ).

cnf(6355,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6353]) ).

cnf(6356,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6354]) ).

cnf(6357,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6355]) ).

cnf(6358,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6356]) ).

cnf(6359,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6357]) ).

cnf(6360,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6358]) ).

cnf(6361,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6359]) ).

cnf(6362,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6360]) ).

cnf(6363,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6361]) ).

cnf(6364,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6362]) ).

cnf(6365,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6363]) ).

cnf(6366,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,6364]) ).

cnf(6367,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,6365]) ).

cnf(6368,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6366]) ).

cnf(6369,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6367]) ).

cnf(6370,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6368]) ).

cnf(6371,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6369]) ).

cnf(6372,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6370]) ).

cnf(6373,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6371]) ).

cnf(6374,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6372]) ).

cnf(6375,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6373]) ).

cnf(6376,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6374]) ).

cnf(6377,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6375]) ).

cnf(6378,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6376]) ).

cnf(6379,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6377]) ).

cnf(6380,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6378]) ).

cnf(6381,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6379]) ).

cnf(6382,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,6380]) ).

cnf(6383,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,6381]) ).

cnf(6384,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6382]) ).

cnf(6385,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6383]) ).

cnf(6386,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6384]) ).

cnf(6387,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6385]) ).

cnf(6388,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6386]) ).

cnf(6389,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6387]) ).

cnf(6390,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6388]) ).

cnf(6391,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6389]) ).

cnf(6392,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6390]) ).

cnf(6393,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6391]) ).

cnf(6394,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6392]) ).

cnf(6395,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6393]) ).

cnf(6396,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6394]) ).

cnf(6397,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6395]) ).

cnf(6398,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,6396]) ).

cnf(6399,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,6397]) ).

cnf(6400,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6398]) ).

cnf(6401,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6399]) ).

cnf(6402,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6400]) ).

cnf(6403,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6401]) ).

cnf(6404,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6402]) ).

cnf(6405,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6403]) ).

cnf(6406,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6404]) ).

cnf(6407,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6405]) ).

cnf(6408,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6406]) ).

cnf(6409,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6407]) ).

cnf(6410,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6408]) ).

cnf(6411,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6409]) ).

cnf(6412,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6410]) ).

cnf(6413,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6411]) ).

cnf(6414,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,6412]) ).

cnf(6415,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,6413]) ).

cnf(6416,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6414]) ).

cnf(6417,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6415]) ).

cnf(6418,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6416]) ).

cnf(6419,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6417]) ).

cnf(6420,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6418]) ).

cnf(6421,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6419]) ).

cnf(6422,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6420]) ).

cnf(6423,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6421]) ).

cnf(6424,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6422]) ).

cnf(6425,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6423]) ).

cnf(6426,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6424]) ).

cnf(6427,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6425]) ).

cnf(6428,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6426]) ).

cnf(6429,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6427]) ).

cnf(6430,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,6428]) ).

cnf(6431,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,6429]) ).

cnf(6432,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6430]) ).

cnf(6433,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6431]) ).

cnf(6434,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6432]) ).

cnf(6435,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6433]) ).

cnf(6436,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6434]) ).

cnf(6437,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6435]) ).

cnf(6438,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6436]) ).

cnf(6439,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6437]) ).

cnf(6440,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6438]) ).

cnf(6441,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6439]) ).

cnf(6442,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6440]) ).

cnf(6443,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6441]) ).

cnf(6444,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6442]) ).

cnf(6445,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6443]) ).

cnf(6446,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,6444]) ).

cnf(6447,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,6445]) ).

cnf(6448,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6446]) ).

cnf(6449,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6447]) ).

cnf(6450,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6448]) ).

cnf(6451,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6449]) ).

cnf(6452,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6450]) ).

cnf(6453,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6451]) ).

cnf(6454,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6452]) ).

cnf(6455,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6453]) ).

cnf(6456,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6454]) ).

cnf(6457,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6455]) ).

cnf(6458,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6456]) ).

cnf(6459,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6457]) ).

cnf(6460,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6458]) ).

cnf(6461,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6459]) ).

cnf(6462,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,6460]) ).

cnf(6463,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,6461]) ).

cnf(6464,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6462]) ).

cnf(6465,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6463]) ).

cnf(6466,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6464]) ).

cnf(6467,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6465]) ).

cnf(6468,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6466]) ).

cnf(6469,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6467]) ).

cnf(6470,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6468]) ).

cnf(6471,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6469]) ).

cnf(6472,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6470]) ).

cnf(6473,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6471]) ).

cnf(6474,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6472]) ).

cnf(6475,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6473]) ).

cnf(6476,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6474]) ).

cnf(6477,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6475]) ).

cnf(6478,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,6476]) ).

cnf(6479,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,6477]) ).

cnf(6480,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6478]) ).

cnf(6481,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6479]) ).

cnf(6482,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6480]) ).

cnf(6483,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6481]) ).

cnf(6484,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6482]) ).

cnf(6485,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6483]) ).

cnf(6486,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6484]) ).

cnf(6487,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6485]) ).

cnf(6488,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6486]) ).

cnf(6489,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6487]) ).

cnf(6490,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6488]) ).

cnf(6491,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6489]) ).

cnf(6492,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6490]) ).

cnf(6493,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6491]) ).

cnf(6494,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,6492]) ).

cnf(6495,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,6493]) ).

cnf(6496,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6494]) ).

cnf(6497,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6495]) ).

cnf(6498,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6496]) ).

cnf(6499,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6497]) ).

cnf(6500,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6498]) ).

cnf(6501,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6499]) ).

cnf(6502,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6500]) ).

cnf(6503,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6501]) ).

cnf(6504,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6502]) ).

cnf(6505,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6503]) ).

cnf(6506,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6504]) ).

cnf(6507,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6505]) ).

cnf(6508,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6506]) ).

cnf(6509,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6507]) ).

cnf(6510,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,6508]) ).

cnf(6511,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,6509]) ).

cnf(6512,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6510]) ).

cnf(6513,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6511]) ).

cnf(6514,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6512]) ).

cnf(6515,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6513]) ).

cnf(6516,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6514]) ).

cnf(6517,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6515]) ).

cnf(6518,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6516]) ).

cnf(6519,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6517]) ).

cnf(6520,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6518]) ).

cnf(6521,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6519]) ).

cnf(6522,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6520]) ).

cnf(6523,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6521]) ).

cnf(6524,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6522]) ).

cnf(6525,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6523]) ).

cnf(6526,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,6524]) ).

cnf(6527,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,6525]) ).

cnf(6528,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6526]) ).

cnf(6529,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6527]) ).

cnf(6530,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6528]) ).

cnf(6531,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6529]) ).

cnf(6532,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6530]) ).

cnf(6533,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6531]) ).

cnf(6534,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6532]) ).

cnf(6535,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6533]) ).

cnf(6536,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6534]) ).

cnf(6537,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6535]) ).

cnf(6538,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6536]) ).

cnf(6539,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6537]) ).

cnf(6540,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6538]) ).

cnf(6541,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6539]) ).

cnf(6542,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,6540]) ).

cnf(6543,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,6541]) ).

cnf(6544,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6542]) ).

cnf(6545,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6543]) ).

cnf(6546,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6544]) ).

cnf(6547,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6545]) ).

cnf(6548,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6546]) ).

cnf(6549,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6547]) ).

cnf(6550,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6548]) ).

cnf(6551,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6549]) ).

cnf(6552,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6550]) ).

cnf(6553,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6551]) ).

cnf(6554,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6552]) ).

cnf(6555,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6553]) ).

cnf(6556,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6554]) ).

cnf(6557,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6555]) ).

cnf(6558,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,6556]) ).

cnf(6559,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,6557]) ).

cnf(6560,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6558]) ).

cnf(6561,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6559]) ).

cnf(6562,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6560]) ).

cnf(6563,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6561]) ).

cnf(6564,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6562]) ).

cnf(6565,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6563]) ).

cnf(6566,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6564]) ).

cnf(6567,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6565]) ).

cnf(6568,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6566]) ).

cnf(6569,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6567]) ).

cnf(6570,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6568]) ).

cnf(6571,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6569]) ).

cnf(6572,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6570]) ).

cnf(6573,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6571]) ).

cnf(6574,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,6572]) ).

cnf(6575,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,6573]) ).

cnf(6576,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6574]) ).

cnf(6577,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6575]) ).

cnf(6578,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6576]) ).

cnf(6579,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6577]) ).

cnf(6580,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6578]) ).

cnf(6581,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6579]) ).

cnf(6582,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6580]) ).

cnf(6583,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6581]) ).

cnf(6584,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6582]) ).

cnf(6585,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6583]) ).

cnf(6586,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6584]) ).

cnf(6587,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6585]) ).

cnf(6588,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6586]) ).

cnf(6589,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6587]) ).

cnf(6590,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,6588]) ).

cnf(6591,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,6589]) ).

cnf(6592,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6590]) ).

cnf(6593,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6591]) ).

cnf(6594,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6592]) ).

cnf(6595,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6593]) ).

cnf(6596,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6594]) ).

cnf(6597,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6595]) ).

cnf(6598,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6596]) ).

cnf(6599,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6597]) ).

cnf(6600,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6598]) ).

cnf(6601,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6599]) ).

cnf(6602,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6600]) ).

cnf(6603,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6601]) ).

cnf(6604,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6602]) ).

cnf(6605,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6603]) ).

cnf(6606,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,6604]) ).

cnf(6607,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,6605]) ).

cnf(6608,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6606]) ).

cnf(6609,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6607]) ).

cnf(6610,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6608]) ).

cnf(6611,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6609]) ).

cnf(6612,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6610]) ).

cnf(6613,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6611]) ).

cnf(6614,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6612]) ).

cnf(6615,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6613]) ).

cnf(6616,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6614]) ).

cnf(6617,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6615]) ).

cnf(6618,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6616]) ).

cnf(6619,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6617]) ).

cnf(6620,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6618]) ).

cnf(6621,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6619]) ).

cnf(6622,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,6620]) ).

cnf(6623,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,6621]) ).

cnf(6624,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6622]) ).

cnf(6625,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6623]) ).

cnf(6626,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6624]) ).

cnf(6627,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6625]) ).

cnf(6628,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6626]) ).

cnf(6629,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6627]) ).

cnf(6630,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6628]) ).

cnf(6631,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6629]) ).

cnf(6632,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6630]) ).

cnf(6633,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6631]) ).

cnf(6634,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6632]) ).

cnf(6635,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6633]) ).

cnf(6636,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6634]) ).

cnf(6637,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6635]) ).

cnf(6638,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,6636]) ).

cnf(6639,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,6637]) ).

cnf(6640,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6638]) ).

cnf(6641,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6639]) ).

cnf(6642,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6640]) ).

cnf(6643,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6641]) ).

cnf(6644,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6642]) ).

cnf(6645,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6643]) ).

cnf(6646,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6644]) ).

cnf(6647,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6645]) ).

cnf(6648,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6646]) ).

cnf(6649,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6647]) ).

cnf(6650,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6648]) ).

cnf(6651,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6649]) ).

cnf(6652,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6650]) ).

cnf(6653,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6651]) ).

cnf(6654,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,6652]) ).

cnf(6655,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,6653]) ).

cnf(6656,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6654]) ).

cnf(6657,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6655]) ).

cnf(6658,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6656]) ).

cnf(6659,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6657]) ).

cnf(6660,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6658]) ).

cnf(6661,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6659]) ).

cnf(6662,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6660]) ).

cnf(6663,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6661]) ).

cnf(6664,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6662]) ).

cnf(6665,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6663]) ).

cnf(6666,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6664]) ).

cnf(6667,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6665]) ).

cnf(6668,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6666]) ).

cnf(6669,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6667]) ).

cnf(6670,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,6668]) ).

cnf(6671,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,6669]) ).

cnf(6672,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6670]) ).

cnf(6673,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6671]) ).

cnf(6674,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6672]) ).

cnf(6675,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6673]) ).

cnf(6676,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6674]) ).

cnf(6677,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6675]) ).

cnf(6678,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6676]) ).

cnf(6679,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6677]) ).

cnf(6680,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6678]) ).

cnf(6681,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6679]) ).

cnf(6682,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6680]) ).

cnf(6683,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6681]) ).

cnf(6684,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6682]) ).

cnf(6685,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6683]) ).

cnf(6686,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[11,6684]) ).

cnf(6687,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[11,6685]) ).

cnf(6688,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6686]) ).

cnf(6689,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6687]) ).

cnf(6690,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6688]) ).

cnf(6691,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6689]) ).

cnf(6692,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6690]) ).

cnf(6693,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6691]) ).

cnf(6694,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6692]) ).

cnf(6695,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6693]) ).

cnf(6696,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6694]) ).

cnf(6697,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6695]) ).

cnf(6698,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6696]) ).

cnf(6699,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6697]) ).

cnf(6700,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6698]) ).

cnf(6701,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6699]) ).

cnf(6702,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,6700]) ).

cnf(6703,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,6701]) ).

cnf(6704,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6702]) ).

cnf(6705,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6703]) ).

cnf(6706,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6704]) ).

cnf(6707,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6705]) ).

cnf(6708,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6706]) ).

cnf(6709,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6707]) ).

cnf(6710,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6708]) ).

cnf(6711,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6709]) ).

cnf(6712,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6710]) ).

cnf(6713,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6711]) ).

cnf(6714,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6712]) ).

cnf(6715,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6713]) ).

cnf(6716,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6714]) ).

cnf(6717,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6715]) ).

cnf(6718,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,6716]) ).

cnf(6719,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,6717]) ).

cnf(6720,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6718]) ).

cnf(6721,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6719]) ).

cnf(6722,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6720]) ).

cnf(6723,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6721]) ).

cnf(6724,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6722]) ).

cnf(6725,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6723]) ).

cnf(6726,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6724]) ).

cnf(6727,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6725]) ).

cnf(6728,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6726]) ).

cnf(6729,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6727]) ).

cnf(6730,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6728]) ).

cnf(6731,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6729]) ).

cnf(6732,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6730]) ).

cnf(6733,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6731]) ).

cnf(6734,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,6732]) ).

cnf(6735,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,6733]) ).

cnf(6736,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6734]) ).

cnf(6737,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6735]) ).

cnf(6738,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6736]) ).

cnf(6739,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6737]) ).

cnf(6740,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6738]) ).

cnf(6741,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6739]) ).

cnf(6742,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6740]) ).

cnf(6743,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6741]) ).

cnf(6744,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6742]) ).

cnf(6745,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6743]) ).

cnf(6746,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6744]) ).

cnf(6747,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6745]) ).

cnf(6748,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6746]) ).

cnf(6749,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6747]) ).

cnf(6750,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,6748]) ).

cnf(6751,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,6749]) ).

cnf(6752,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6750]) ).

cnf(6753,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6751]) ).

cnf(6754,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6752]) ).

cnf(6755,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6753]) ).

cnf(6756,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6754]) ).

cnf(6757,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6755]) ).

cnf(6758,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6756]) ).

cnf(6759,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6757]) ).

cnf(6760,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6758]) ).

cnf(6761,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6759]) ).

cnf(6762,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6760]) ).

cnf(6763,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6761]) ).

cnf(6764,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6762]) ).

cnf(6765,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6763]) ).

cnf(6766,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,6764]) ).

cnf(6767,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,6765]) ).

cnf(6768,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6766]) ).

cnf(6769,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6767]) ).

cnf(6770,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6768]) ).

cnf(6771,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6769]) ).

cnf(6772,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6770]) ).

cnf(6773,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6771]) ).

cnf(6774,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6772]) ).

cnf(6775,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6773]) ).

cnf(6776,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6774]) ).

cnf(6777,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6775]) ).

cnf(6778,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6776]) ).

cnf(6779,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6777]) ).

cnf(6780,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6778]) ).

cnf(6781,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6779]) ).

cnf(6782,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,6780]) ).

cnf(6783,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,6781]) ).

cnf(6784,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6782]) ).

cnf(6785,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6783]) ).

cnf(6786,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6784]) ).

cnf(6787,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6785]) ).

cnf(6788,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6786]) ).

cnf(6789,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6787]) ).

cnf(6790,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6788]) ).

cnf(6791,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6789]) ).

cnf(6792,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6790]) ).

cnf(6793,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6791]) ).

cnf(6794,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6792]) ).

cnf(6795,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6793]) ).

cnf(6796,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6794]) ).

cnf(6797,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6795]) ).

cnf(6798,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,6796]) ).

cnf(6799,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,6797]) ).

cnf(6800,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6798]) ).

cnf(6801,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6799]) ).

cnf(6802,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6800]) ).

cnf(6803,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6801]) ).

cnf(6804,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6802]) ).

cnf(6805,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6803]) ).

cnf(6806,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6804]) ).

cnf(6807,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6805]) ).

cnf(6808,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6806]) ).

cnf(6809,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6807]) ).

cnf(6810,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6808]) ).

cnf(6811,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6809]) ).

cnf(6812,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6810]) ).

cnf(6813,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6811]) ).

cnf(6814,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,6812]) ).

cnf(6815,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,6813]) ).

cnf(6816,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6814]) ).

cnf(6817,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6815]) ).

cnf(6818,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6816]) ).

cnf(6819,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6817]) ).

cnf(6820,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6818]) ).

cnf(6821,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6819]) ).

cnf(6822,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6820]) ).

cnf(6823,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6821]) ).

cnf(6824,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6822]) ).

cnf(6825,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6823]) ).

cnf(6826,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6824]) ).

cnf(6827,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6825]) ).

cnf(6828,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6826]) ).

cnf(6829,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6827]) ).

cnf(6830,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,6828]) ).

cnf(6831,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,6829]) ).

cnf(6832,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6830]) ).

cnf(6833,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6831]) ).

cnf(6834,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6832]) ).

cnf(6835,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6833]) ).

cnf(6836,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6834]) ).

cnf(6837,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6835]) ).

cnf(6838,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6836]) ).

cnf(6839,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6837]) ).

cnf(6840,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6838]) ).

cnf(6841,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6839]) ).

cnf(6842,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6840]) ).

cnf(6843,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6841]) ).

cnf(6844,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6842]) ).

cnf(6845,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6843]) ).

cnf(6846,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,6844]) ).

cnf(6847,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,6845]) ).

cnf(6848,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6846]) ).

cnf(6849,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6847]) ).

cnf(6850,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6848]) ).

cnf(6851,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6849]) ).

cnf(6852,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6850]) ).

cnf(6853,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6851]) ).

cnf(6854,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6852]) ).

cnf(6855,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6853]) ).

cnf(6856,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6854]) ).

cnf(6857,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6855]) ).

cnf(6858,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6856]) ).

cnf(6859,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6857]) ).

cnf(6860,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6858]) ).

cnf(6861,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6859]) ).

cnf(6862,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,6860]) ).

cnf(6863,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,6861]) ).

cnf(6864,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6862]) ).

cnf(6865,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6863]) ).

cnf(6866,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6864]) ).

cnf(6867,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6865]) ).

cnf(6868,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6866]) ).

cnf(6869,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6867]) ).

cnf(6870,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6868]) ).

cnf(6871,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6869]) ).

cnf(6872,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6870]) ).

cnf(6873,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6871]) ).

cnf(6874,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6872]) ).

cnf(6875,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6873]) ).

cnf(6876,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6874]) ).

cnf(6877,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6875]) ).

cnf(6878,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,6876]) ).

cnf(6879,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,6877]) ).

cnf(6880,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6878]) ).

cnf(6881,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6879]) ).

cnf(6882,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6880]) ).

cnf(6883,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6881]) ).

cnf(6884,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6882]) ).

cnf(6885,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6883]) ).

cnf(6886,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6884]) ).

cnf(6887,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6885]) ).

cnf(6888,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6886]) ).

cnf(6889,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6887]) ).

cnf(6890,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6888]) ).

cnf(6891,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6889]) ).

cnf(6892,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6890]) ).

cnf(6893,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6891]) ).

cnf(6894,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,6892]) ).

cnf(6895,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,6893]) ).

cnf(6896,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6894]) ).

cnf(6897,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6895]) ).

cnf(6898,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6896]) ).

cnf(6899,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6897]) ).

cnf(6900,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6898]) ).

cnf(6901,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6899]) ).

cnf(6902,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6900]) ).

cnf(6903,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6901]) ).

cnf(6904,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6902]) ).

cnf(6905,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6903]) ).

cnf(6906,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6904]) ).

cnf(6907,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6905]) ).

cnf(6908,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6906]) ).

cnf(6909,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6907]) ).

cnf(6910,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,6908]) ).

cnf(6911,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,6909]) ).

cnf(6912,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6910]) ).

cnf(6913,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6911]) ).

cnf(6914,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6912]) ).

cnf(6915,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6913]) ).

cnf(6916,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6914]) ).

cnf(6917,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6915]) ).

cnf(6918,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6916]) ).

cnf(6919,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6917]) ).

cnf(6920,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6918]) ).

cnf(6921,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6919]) ).

cnf(6922,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6920]) ).

cnf(6923,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6921]) ).

cnf(6924,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6922]) ).

cnf(6925,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6923]) ).

cnf(6926,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,6924]) ).

cnf(6927,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,6925]) ).

cnf(6928,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6926]) ).

cnf(6929,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6927]) ).

cnf(6930,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6928]) ).

cnf(6931,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6929]) ).

cnf(6932,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6930]) ).

cnf(6933,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6931]) ).

cnf(6934,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6932]) ).

cnf(6935,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6933]) ).

cnf(6936,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6934]) ).

cnf(6937,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6935]) ).

cnf(6938,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6936]) ).

cnf(6939,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6937]) ).

cnf(6940,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6938]) ).

cnf(6941,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6939]) ).

cnf(6942,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,6940]) ).

cnf(6943,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,6941]) ).

cnf(6944,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6942]) ).

cnf(6945,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6943]) ).

cnf(6946,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6944]) ).

cnf(6947,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6945]) ).

cnf(6948,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6946]) ).

cnf(6949,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6947]) ).

cnf(6950,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6948]) ).

cnf(6951,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6949]) ).

cnf(6952,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6950]) ).

cnf(6953,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6951]) ).

cnf(6954,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6952]) ).

cnf(6955,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6953]) ).

cnf(6956,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6954]) ).

cnf(6957,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6955]) ).

cnf(6958,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,6956]) ).

cnf(6959,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,6957]) ).

cnf(6960,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6958]) ).

cnf(6961,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6959]) ).

cnf(6962,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6960]) ).

cnf(6963,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6961]) ).

cnf(6964,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6962]) ).

cnf(6965,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6963]) ).

cnf(6966,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6964]) ).

cnf(6967,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6965]) ).

cnf(6968,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6966]) ).

cnf(6969,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6967]) ).

cnf(6970,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6968]) ).

cnf(6971,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6969]) ).

cnf(6972,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6970]) ).

cnf(6973,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6971]) ).

cnf(6974,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,6972]) ).

cnf(6975,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,6973]) ).

cnf(6976,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6974]) ).

cnf(6977,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6975]) ).

cnf(6978,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6976]) ).

cnf(6979,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6977]) ).

cnf(6980,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6978]) ).

cnf(6981,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6979]) ).

cnf(6982,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6980]) ).

cnf(6983,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6981]) ).

cnf(6984,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6982]) ).

cnf(6985,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6983]) ).

cnf(6986,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6984]) ).

cnf(6987,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6985]) ).

cnf(6988,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6986]) ).

cnf(6989,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6987]) ).

cnf(6990,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,6988]) ).

cnf(6991,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,6989]) ).

cnf(6992,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6990]) ).

cnf(6993,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6991]) ).

cnf(6994,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,6992]) ).

cnf(6995,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,6993]) ).

cnf(6996,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6994]) ).

cnf(6997,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6995]) ).

cnf(6998,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,6996]) ).

cnf(6999,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,6997]) ).

cnf(7000,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,6998]) ).

cnf(7001,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,6999]) ).

cnf(7002,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7000]) ).

cnf(7003,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7001]) ).

cnf(7004,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7002]) ).

cnf(7005,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7003]) ).

cnf(7006,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,7004]) ).

cnf(7007,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,7005]) ).

cnf(7008,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7006]) ).

cnf(7009,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7007]) ).

cnf(7010,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7008]) ).

cnf(7011,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7009]) ).

cnf(7012,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7010]) ).

cnf(7013,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7011]) ).

cnf(7014,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7012]) ).

cnf(7015,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7013]) ).

cnf(7016,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7014]) ).

cnf(7017,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7015]) ).

cnf(7018,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7016]) ).

cnf(7019,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7017]) ).

cnf(7020,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7018]) ).

cnf(7021,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7019]) ).

cnf(7022,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,7020]) ).

cnf(7023,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,7021]) ).

cnf(7024,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7022]) ).

cnf(7025,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7023]) ).

cnf(7026,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7024]) ).

cnf(7027,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7025]) ).

cnf(7028,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7026]) ).

cnf(7029,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7027]) ).

cnf(7030,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7028]) ).

cnf(7031,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7029]) ).

cnf(7032,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7030]) ).

cnf(7033,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7031]) ).

cnf(7034,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7032]) ).

cnf(7035,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7033]) ).

cnf(7036,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7034]) ).

cnf(7037,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7035]) ).

cnf(7038,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,7036]) ).

cnf(7039,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,7037]) ).

cnf(7040,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7038]) ).

cnf(7041,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7039]) ).

cnf(7042,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7040]) ).

cnf(7043,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7041]) ).

cnf(7044,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7042]) ).

cnf(7045,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7043]) ).

cnf(7046,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7044]) ).

cnf(7047,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7045]) ).

cnf(7048,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7046]) ).

cnf(7049,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7047]) ).

cnf(7050,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7048]) ).

cnf(7051,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7049]) ).

cnf(7052,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7050]) ).

cnf(7053,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7051]) ).

cnf(7054,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,7052]) ).

cnf(7055,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,7053]) ).

cnf(7056,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7054]) ).

cnf(7057,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7055]) ).

cnf(7058,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7056]) ).

cnf(7059,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7057]) ).

cnf(7060,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7058]) ).

cnf(7061,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7059]) ).

cnf(7062,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7060]) ).

cnf(7063,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7061]) ).

cnf(7064,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7062]) ).

cnf(7065,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7063]) ).

cnf(7066,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7064]) ).

cnf(7067,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7065]) ).

cnf(7068,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7066]) ).

cnf(7069,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7067]) ).

cnf(7070,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,7068]) ).

cnf(7071,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,7069]) ).

cnf(7072,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7070]) ).

cnf(7073,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7071]) ).

cnf(7074,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7072]) ).

cnf(7075,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7073]) ).

cnf(7076,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7074]) ).

cnf(7077,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7075]) ).

cnf(7078,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7076]) ).

cnf(7079,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7077]) ).

cnf(7080,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7078]) ).

cnf(7081,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7079]) ).

cnf(7082,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7080]) ).

cnf(7083,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7081]) ).

cnf(7084,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7082]) ).

cnf(7085,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7083]) ).

cnf(7086,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,7084]) ).

cnf(7087,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,7085]) ).

cnf(7088,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7086]) ).

cnf(7089,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7087]) ).

cnf(7090,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7088]) ).

cnf(7091,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7089]) ).

cnf(7092,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7090]) ).

cnf(7093,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7091]) ).

cnf(7094,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7092]) ).

cnf(7095,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7093]) ).

cnf(7096,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7094]) ).

cnf(7097,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7095]) ).

cnf(7098,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7096]) ).

cnf(7099,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7097]) ).

cnf(7100,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7098]) ).

cnf(7101,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7099]) ).

cnf(7102,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,7100]) ).

cnf(7103,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,7101]) ).

cnf(7104,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7102]) ).

cnf(7105,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7103]) ).

cnf(7106,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7104]) ).

cnf(7107,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7105]) ).

cnf(7108,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7106]) ).

cnf(7109,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7107]) ).

cnf(7110,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7108]) ).

cnf(7111,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7109]) ).

cnf(7112,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7110]) ).

cnf(7113,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7111]) ).

cnf(7114,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7112]) ).

cnf(7115,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7113]) ).

cnf(7116,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7114]) ).

cnf(7117,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7115]) ).

cnf(7118,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,7116]) ).

cnf(7119,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,7117]) ).

cnf(7120,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7118]) ).

cnf(7121,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7119]) ).

cnf(7122,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7120]) ).

cnf(7123,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7121]) ).

cnf(7124,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7122]) ).

cnf(7125,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7123]) ).

cnf(7126,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7124]) ).

cnf(7127,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7125]) ).

cnf(7128,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7126]) ).

cnf(7129,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7127]) ).

cnf(7130,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7128]) ).

cnf(7131,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7129]) ).

cnf(7132,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7130]) ).

cnf(7133,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7131]) ).

cnf(7134,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,7132]) ).

cnf(7135,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,7133]) ).

cnf(7136,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7134]) ).

cnf(7137,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7135]) ).

cnf(7138,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7136]) ).

cnf(7139,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7137]) ).

cnf(7140,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7138]) ).

cnf(7141,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7139]) ).

cnf(7142,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7140]) ).

cnf(7143,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7141]) ).

cnf(7144,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7142]) ).

cnf(7145,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7143]) ).

cnf(7146,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7144]) ).

cnf(7147,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7145]) ).

cnf(7148,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7146]) ).

cnf(7149,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7147]) ).

cnf(7150,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,7148]) ).

cnf(7151,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,7149]) ).

cnf(7152,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7150]) ).

cnf(7153,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7151]) ).

cnf(7154,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7152]) ).

cnf(7155,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7153]) ).

cnf(7156,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7154]) ).

cnf(7157,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7155]) ).

cnf(7158,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7156]) ).

cnf(7159,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7157]) ).

cnf(7160,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7158]) ).

cnf(7161,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7159]) ).

cnf(7162,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7160]) ).

cnf(7163,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7161]) ).

cnf(7164,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7162]) ).

cnf(7165,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7163]) ).

cnf(7166,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,7164]) ).

cnf(7167,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,7165]) ).

cnf(7168,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7166]) ).

cnf(7169,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7167]) ).

cnf(7170,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7168]) ).

cnf(7171,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7169]) ).

cnf(7172,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7170]) ).

cnf(7173,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7171]) ).

cnf(7174,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7172]) ).

cnf(7175,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7173]) ).

cnf(7176,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7174]) ).

cnf(7177,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7175]) ).

cnf(7178,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7176]) ).

cnf(7179,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7177]) ).

cnf(7180,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7178]) ).

cnf(7181,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7179]) ).

cnf(7182,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,7180]) ).

cnf(7183,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,7181]) ).

cnf(7184,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7182]) ).

cnf(7185,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7183]) ).

cnf(7186,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7184]) ).

cnf(7187,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7185]) ).

cnf(7188,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7186]) ).

cnf(7189,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7187]) ).

cnf(7190,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7188]) ).

cnf(7191,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7189]) ).

cnf(7192,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7190]) ).

cnf(7193,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7191]) ).

cnf(7194,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7192]) ).

cnf(7195,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7193]) ).

cnf(7196,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7194]) ).

cnf(7197,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7195]) ).

cnf(7198,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[12,7196]) ).

cnf(7199,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[12,7197]) ).

cnf(7200,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7198]) ).

cnf(7201,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7199]) ).

cnf(7202,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7200]) ).

cnf(7203,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7201]) ).

cnf(7204,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7202]) ).

cnf(7205,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7203]) ).

cnf(7206,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7204]) ).

cnf(7207,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7205]) ).

cnf(7208,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7206]) ).

cnf(7209,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7207]) ).

cnf(7210,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7208]) ).

cnf(7211,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7209]) ).

cnf(7212,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7210]) ).

cnf(7213,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7211]) ).

cnf(7214,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,7212]) ).

cnf(7215,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,7213]) ).

cnf(7216,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7214]) ).

cnf(7217,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7215]) ).

cnf(7218,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7216]) ).

cnf(7219,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7217]) ).

cnf(7220,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7218]) ).

cnf(7221,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7219]) ).

cnf(7222,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7220]) ).

cnf(7223,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7221]) ).

cnf(7224,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7222]) ).

cnf(7225,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7223]) ).

cnf(7226,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7224]) ).

cnf(7227,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7225]) ).

cnf(7228,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7226]) ).

cnf(7229,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7227]) ).

cnf(7230,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,7228]) ).

cnf(7231,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,7229]) ).

cnf(7232,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7230]) ).

cnf(7233,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7231]) ).

cnf(7234,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7232]) ).

cnf(7235,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7233]) ).

cnf(7236,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7234]) ).

cnf(7237,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7235]) ).

cnf(7238,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7236]) ).

cnf(7239,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7237]) ).

cnf(7240,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7238]) ).

cnf(7241,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7239]) ).

cnf(7242,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7240]) ).

cnf(7243,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7241]) ).

cnf(7244,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7242]) ).

cnf(7245,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7243]) ).

cnf(7246,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,7244]) ).

cnf(7247,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,7245]) ).

cnf(7248,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7246]) ).

cnf(7249,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7247]) ).

cnf(7250,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7248]) ).

cnf(7251,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7249]) ).

cnf(7252,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7250]) ).

cnf(7253,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7251]) ).

cnf(7254,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7252]) ).

cnf(7255,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7253]) ).

cnf(7256,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7254]) ).

cnf(7257,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7255]) ).

cnf(7258,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7256]) ).

cnf(7259,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7257]) ).

cnf(7260,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7258]) ).

cnf(7261,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7259]) ).

cnf(7262,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,7260]) ).

cnf(7263,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,7261]) ).

cnf(7264,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7262]) ).

cnf(7265,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7263]) ).

cnf(7266,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7264]) ).

cnf(7267,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7265]) ).

cnf(7268,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7266]) ).

cnf(7269,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7267]) ).

cnf(7270,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7268]) ).

cnf(7271,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7269]) ).

cnf(7272,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7270]) ).

cnf(7273,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7271]) ).

cnf(7274,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7272]) ).

cnf(7275,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7273]) ).

cnf(7276,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7274]) ).

cnf(7277,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7275]) ).

cnf(7278,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,7276]) ).

cnf(7279,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,7277]) ).

cnf(7280,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7278]) ).

cnf(7281,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7279]) ).

cnf(7282,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7280]) ).

cnf(7283,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7281]) ).

cnf(7284,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7282]) ).

cnf(7285,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7283]) ).

cnf(7286,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7284]) ).

cnf(7287,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7285]) ).

cnf(7288,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7286]) ).

cnf(7289,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7287]) ).

cnf(7290,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7288]) ).

cnf(7291,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7289]) ).

cnf(7292,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7290]) ).

cnf(7293,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7291]) ).

cnf(7294,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,7292]) ).

cnf(7295,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,7293]) ).

cnf(7296,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7294]) ).

cnf(7297,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7295]) ).

cnf(7298,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7296]) ).

cnf(7299,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7297]) ).

cnf(7300,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7298]) ).

cnf(7301,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7299]) ).

cnf(7302,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7300]) ).

cnf(7303,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7301]) ).

cnf(7304,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7302]) ).

cnf(7305,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7303]) ).

cnf(7306,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7304]) ).

cnf(7307,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7305]) ).

cnf(7308,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7306]) ).

cnf(7309,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7307]) ).

cnf(7310,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,7308]) ).

cnf(7311,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,7309]) ).

cnf(7312,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7310]) ).

cnf(7313,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7311]) ).

cnf(7314,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7312]) ).

cnf(7315,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7313]) ).

cnf(7316,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7314]) ).

cnf(7317,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7315]) ).

cnf(7318,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7316]) ).

cnf(7319,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7317]) ).

cnf(7320,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7318]) ).

cnf(7321,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7319]) ).

cnf(7322,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7320]) ).

cnf(7323,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7321]) ).

cnf(7324,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7322]) ).

cnf(7325,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7323]) ).

cnf(7326,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,7324]) ).

cnf(7327,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,7325]) ).

cnf(7328,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7326]) ).

cnf(7329,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7327]) ).

cnf(7330,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7328]) ).

cnf(7331,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7329]) ).

cnf(7332,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7330]) ).

cnf(7333,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7331]) ).

cnf(7334,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7332]) ).

cnf(7335,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7333]) ).

cnf(7336,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7334]) ).

cnf(7337,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7335]) ).

cnf(7338,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7336]) ).

cnf(7339,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7337]) ).

cnf(7340,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7338]) ).

cnf(7341,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7339]) ).

cnf(7342,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,7340]) ).

cnf(7343,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,7341]) ).

cnf(7344,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7342]) ).

cnf(7345,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7343]) ).

cnf(7346,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7344]) ).

cnf(7347,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7345]) ).

cnf(7348,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7346]) ).

cnf(7349,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7347]) ).

cnf(7350,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7348]) ).

cnf(7351,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7349]) ).

cnf(7352,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7350]) ).

cnf(7353,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7351]) ).

cnf(7354,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7352]) ).

cnf(7355,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7353]) ).

cnf(7356,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7354]) ).

cnf(7357,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7355]) ).

cnf(7358,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,7356]) ).

cnf(7359,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,7357]) ).

cnf(7360,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7358]) ).

cnf(7361,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7359]) ).

cnf(7362,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7360]) ).

cnf(7363,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7361]) ).

cnf(7364,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7362]) ).

cnf(7365,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7363]) ).

cnf(7366,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7364]) ).

cnf(7367,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7365]) ).

cnf(7368,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7366]) ).

cnf(7369,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7367]) ).

cnf(7370,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7368]) ).

cnf(7371,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7369]) ).

cnf(7372,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7370]) ).

cnf(7373,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7371]) ).

cnf(7374,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,7372]) ).

cnf(7375,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,7373]) ).

cnf(7376,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7374]) ).

cnf(7377,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7375]) ).

cnf(7378,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7376]) ).

cnf(7379,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7377]) ).

cnf(7380,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7378]) ).

cnf(7381,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7379]) ).

cnf(7382,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7380]) ).

cnf(7383,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7381]) ).

cnf(7384,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7382]) ).

cnf(7385,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7383]) ).

cnf(7386,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7384]) ).

cnf(7387,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7385]) ).

cnf(7388,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7386]) ).

cnf(7389,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7387]) ).

cnf(7390,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,7388]) ).

cnf(7391,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,7389]) ).

cnf(7392,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7390]) ).

cnf(7393,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7391]) ).

cnf(7394,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7392]) ).

cnf(7395,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7393]) ).

cnf(7396,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7394]) ).

cnf(7397,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7395]) ).

cnf(7398,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7396]) ).

cnf(7399,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7397]) ).

cnf(7400,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7398]) ).

cnf(7401,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7399]) ).

cnf(7402,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7400]) ).

cnf(7403,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7401]) ).

cnf(7404,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7402]) ).

cnf(7405,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7403]) ).

cnf(7406,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,7404]) ).

cnf(7407,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,7405]) ).

cnf(7408,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7406]) ).

cnf(7409,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7407]) ).

cnf(7410,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7408]) ).

cnf(7411,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7409]) ).

cnf(7412,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7410]) ).

cnf(7413,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7411]) ).

cnf(7414,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7412]) ).

cnf(7415,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7413]) ).

cnf(7416,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7414]) ).

cnf(7417,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7415]) ).

cnf(7418,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7416]) ).

cnf(7419,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7417]) ).

cnf(7420,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7418]) ).

cnf(7421,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7419]) ).

cnf(7422,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,7420]) ).

cnf(7423,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,7421]) ).

cnf(7424,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7422]) ).

cnf(7425,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7423]) ).

cnf(7426,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7424]) ).

cnf(7427,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7425]) ).

cnf(7428,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7426]) ).

cnf(7429,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7427]) ).

cnf(7430,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7428]) ).

cnf(7431,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7429]) ).

cnf(7432,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7430]) ).

cnf(7433,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7431]) ).

cnf(7434,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7432]) ).

cnf(7435,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7433]) ).

cnf(7436,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7434]) ).

cnf(7437,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7435]) ).

cnf(7438,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,7436]) ).

cnf(7439,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,7437]) ).

cnf(7440,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7438]) ).

cnf(7441,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7439]) ).

cnf(7442,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7440]) ).

cnf(7443,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7441]) ).

cnf(7444,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7442]) ).

cnf(7445,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7443]) ).

cnf(7446,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7444]) ).

cnf(7447,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7445]) ).

cnf(7448,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7446]) ).

cnf(7449,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7447]) ).

cnf(7450,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7448]) ).

cnf(7451,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7449]) ).

cnf(7452,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7450]) ).

cnf(7453,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7451]) ).

cnf(7454,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,7452]) ).

cnf(7455,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,7453]) ).

cnf(7456,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7454]) ).

cnf(7457,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7455]) ).

cnf(7458,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7456]) ).

cnf(7459,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7457]) ).

cnf(7460,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7458]) ).

cnf(7461,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7459]) ).

cnf(7462,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7460]) ).

cnf(7463,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7461]) ).

cnf(7464,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7462]) ).

cnf(7465,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7463]) ).

cnf(7466,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7464]) ).

cnf(7467,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7465]) ).

cnf(7468,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7466]) ).

cnf(7469,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7467]) ).

cnf(7470,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,7468]) ).

cnf(7471,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,7469]) ).

cnf(7472,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7470]) ).

cnf(7473,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7471]) ).

cnf(7474,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7472]) ).

cnf(7475,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7473]) ).

cnf(7476,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7474]) ).

cnf(7477,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7475]) ).

cnf(7478,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7476]) ).

cnf(7479,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7477]) ).

cnf(7480,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7478]) ).

cnf(7481,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7479]) ).

cnf(7482,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7480]) ).

cnf(7483,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7481]) ).

cnf(7484,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7482]) ).

cnf(7485,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7483]) ).

cnf(7486,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,7484]) ).

cnf(7487,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,7485]) ).

cnf(7488,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7486]) ).

cnf(7489,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7487]) ).

cnf(7490,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7488]) ).

cnf(7491,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7489]) ).

cnf(7492,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7490]) ).

cnf(7493,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7491]) ).

cnf(7494,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7492]) ).

cnf(7495,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7493]) ).

cnf(7496,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7494]) ).

cnf(7497,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7495]) ).

cnf(7498,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7496]) ).

cnf(7499,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7497]) ).

cnf(7500,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7498]) ).

cnf(7501,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7499]) ).

cnf(7502,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,7500]) ).

cnf(7503,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,7501]) ).

cnf(7504,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7502]) ).

cnf(7505,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7503]) ).

cnf(7506,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7504]) ).

cnf(7507,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7505]) ).

cnf(7508,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7506]) ).

cnf(7509,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7507]) ).

cnf(7510,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7508]) ).

cnf(7511,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7509]) ).

cnf(7512,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7510]) ).

cnf(7513,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7511]) ).

cnf(7514,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7512]) ).

cnf(7515,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7513]) ).

cnf(7516,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7514]) ).

cnf(7517,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7515]) ).

cnf(7518,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,7516]) ).

cnf(7519,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,7517]) ).

cnf(7520,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7518]) ).

cnf(7521,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7519]) ).

cnf(7522,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7520]) ).

cnf(7523,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7521]) ).

cnf(7524,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7522]) ).

cnf(7525,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7523]) ).

cnf(7526,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7524]) ).

cnf(7527,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7525]) ).

cnf(7528,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7526]) ).

cnf(7529,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7527]) ).

cnf(7530,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7528]) ).

cnf(7531,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7529]) ).

cnf(7532,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7530]) ).

cnf(7533,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7531]) ).

cnf(7534,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,7532]) ).

cnf(7535,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,7533]) ).

cnf(7536,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7534]) ).

cnf(7537,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7535]) ).

cnf(7538,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7536]) ).

cnf(7539,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7537]) ).

cnf(7540,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7538]) ).

cnf(7541,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7539]) ).

cnf(7542,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7540]) ).

cnf(7543,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7541]) ).

cnf(7544,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7542]) ).

cnf(7545,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7543]) ).

cnf(7546,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7544]) ).

cnf(7547,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7545]) ).

cnf(7548,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7546]) ).

cnf(7549,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7547]) ).

cnf(7550,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,7548]) ).

cnf(7551,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,7549]) ).

cnf(7552,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7550]) ).

cnf(7553,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7551]) ).

cnf(7554,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7552]) ).

cnf(7555,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7553]) ).

cnf(7556,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7554]) ).

cnf(7557,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7555]) ).

cnf(7558,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7556]) ).

cnf(7559,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7557]) ).

cnf(7560,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7558]) ).

cnf(7561,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7559]) ).

cnf(7562,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7560]) ).

cnf(7563,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7561]) ).

cnf(7564,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7562]) ).

cnf(7565,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7563]) ).

cnf(7566,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,7564]) ).

cnf(7567,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,7565]) ).

cnf(7568,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7566]) ).

cnf(7569,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7567]) ).

cnf(7570,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7568]) ).

cnf(7571,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7569]) ).

cnf(7572,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7570]) ).

cnf(7573,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7571]) ).

cnf(7574,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7572]) ).

cnf(7575,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7573]) ).

cnf(7576,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7574]) ).

cnf(7577,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7575]) ).

cnf(7578,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7576]) ).

cnf(7579,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7577]) ).

cnf(7580,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7578]) ).

cnf(7581,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7579]) ).

cnf(7582,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,7580]) ).

cnf(7583,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,7581]) ).

cnf(7584,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7582]) ).

cnf(7585,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7583]) ).

cnf(7586,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7584]) ).

cnf(7587,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7585]) ).

cnf(7588,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7586]) ).

cnf(7589,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7587]) ).

cnf(7590,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7588]) ).

cnf(7591,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7589]) ).

cnf(7592,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7590]) ).

cnf(7593,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7591]) ).

cnf(7594,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7592]) ).

cnf(7595,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7593]) ).

cnf(7596,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7594]) ).

cnf(7597,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7595]) ).

cnf(7598,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,7596]) ).

cnf(7599,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,7597]) ).

cnf(7600,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7598]) ).

cnf(7601,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7599]) ).

cnf(7602,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7600]) ).

cnf(7603,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7601]) ).

cnf(7604,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7602]) ).

cnf(7605,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7603]) ).

cnf(7606,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7604]) ).

cnf(7607,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7605]) ).

cnf(7608,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7606]) ).

cnf(7609,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7607]) ).

cnf(7610,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7608]) ).

cnf(7611,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7609]) ).

cnf(7612,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7610]) ).

cnf(7613,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7611]) ).

cnf(7614,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,7612]) ).

cnf(7615,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,7613]) ).

cnf(7616,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7614]) ).

cnf(7617,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7615]) ).

cnf(7618,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7616]) ).

cnf(7619,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7617]) ).

cnf(7620,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7618]) ).

cnf(7621,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7619]) ).

cnf(7622,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7620]) ).

cnf(7623,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7621]) ).

cnf(7624,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7622]) ).

cnf(7625,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7623]) ).

cnf(7626,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7624]) ).

cnf(7627,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7625]) ).

cnf(7628,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7626]) ).

cnf(7629,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7627]) ).

cnf(7630,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,7628]) ).

cnf(7631,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,7629]) ).

cnf(7632,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7630]) ).

cnf(7633,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7631]) ).

cnf(7634,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7632]) ).

cnf(7635,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7633]) ).

cnf(7636,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7634]) ).

cnf(7637,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7635]) ).

cnf(7638,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7636]) ).

cnf(7639,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7637]) ).

cnf(7640,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7638]) ).

cnf(7641,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7639]) ).

cnf(7642,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7640]) ).

cnf(7643,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7641]) ).

cnf(7644,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7642]) ).

cnf(7645,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7643]) ).

cnf(7646,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,7644]) ).

cnf(7647,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,7645]) ).

cnf(7648,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7646]) ).

cnf(7649,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7647]) ).

cnf(7650,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7648]) ).

cnf(7651,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7649]) ).

cnf(7652,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7650]) ).

cnf(7653,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7651]) ).

cnf(7654,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7652]) ).

cnf(7655,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7653]) ).

cnf(7656,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7654]) ).

cnf(7657,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7655]) ).

cnf(7658,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7656]) ).

cnf(7659,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7657]) ).

cnf(7660,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7658]) ).

cnf(7661,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7659]) ).

cnf(7662,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,7660]) ).

cnf(7663,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,7661]) ).

cnf(7664,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7662]) ).

cnf(7665,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7663]) ).

cnf(7666,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7664]) ).

cnf(7667,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7665]) ).

cnf(7668,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7666]) ).

cnf(7669,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7667]) ).

cnf(7670,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7668]) ).

cnf(7671,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7669]) ).

cnf(7672,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7670]) ).

cnf(7673,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7671]) ).

cnf(7674,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7672]) ).

cnf(7675,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7673]) ).

cnf(7676,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7674]) ).

cnf(7677,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7675]) ).

cnf(7678,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,7676]) ).

cnf(7679,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,7677]) ).

cnf(7680,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7678]) ).

cnf(7681,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7679]) ).

cnf(7682,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7680]) ).

cnf(7683,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7681]) ).

cnf(7684,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7682]) ).

cnf(7685,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7683]) ).

cnf(7686,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7684]) ).

cnf(7687,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7685]) ).

cnf(7688,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7686]) ).

cnf(7689,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7687]) ).

cnf(7690,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7688]) ).

cnf(7691,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7689]) ).

cnf(7692,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7690]) ).

cnf(7693,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7691]) ).

cnf(7694,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,7692]) ).

cnf(7695,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,7693]) ).

cnf(7696,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7694]) ).

cnf(7697,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7695]) ).

cnf(7698,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7696]) ).

cnf(7699,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7697]) ).

cnf(7700,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7698]) ).

cnf(7701,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7699]) ).

cnf(7702,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7700]) ).

cnf(7703,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7701]) ).

cnf(7704,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7702]) ).

cnf(7705,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7703]) ).

cnf(7706,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7704]) ).

cnf(7707,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7705]) ).

cnf(7708,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7706]) ).

cnf(7709,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7707]) ).

cnf(7710,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[11,7708]) ).

cnf(7711,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[11,7709]) ).

cnf(7712,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7710]) ).

cnf(7713,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7711]) ).

cnf(7714,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7712]) ).

cnf(7715,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7713]) ).

cnf(7716,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7714]) ).

cnf(7717,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7715]) ).

cnf(7718,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7716]) ).

cnf(7719,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7717]) ).

cnf(7720,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7718]) ).

cnf(7721,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7719]) ).

cnf(7722,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7720]) ).

cnf(7723,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7721]) ).

cnf(7724,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7722]) ).

cnf(7725,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7723]) ).

cnf(7726,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,7724]) ).

cnf(7727,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,7725]) ).

cnf(7728,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7726]) ).

cnf(7729,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7727]) ).

cnf(7730,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7728]) ).

cnf(7731,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7729]) ).

cnf(7732,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7730]) ).

cnf(7733,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7731]) ).

cnf(7734,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7732]) ).

cnf(7735,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7733]) ).

cnf(7736,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7734]) ).

cnf(7737,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7735]) ).

cnf(7738,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7736]) ).

cnf(7739,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7737]) ).

cnf(7740,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7738]) ).

cnf(7741,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7739]) ).

cnf(7742,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,7740]) ).

cnf(7743,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,7741]) ).

cnf(7744,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7742]) ).

cnf(7745,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7743]) ).

cnf(7746,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7744]) ).

cnf(7747,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7745]) ).

cnf(7748,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7746]) ).

cnf(7749,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7747]) ).

cnf(7750,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7748]) ).

cnf(7751,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7749]) ).

cnf(7752,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7750]) ).

cnf(7753,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7751]) ).

cnf(7754,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7752]) ).

cnf(7755,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7753]) ).

cnf(7756,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7754]) ).

cnf(7757,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7755]) ).

cnf(7758,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,7756]) ).

cnf(7759,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,7757]) ).

cnf(7760,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7758]) ).

cnf(7761,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7759]) ).

cnf(7762,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7760]) ).

cnf(7763,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7761]) ).

cnf(7764,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7762]) ).

cnf(7765,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7763]) ).

cnf(7766,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7764]) ).

cnf(7767,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7765]) ).

cnf(7768,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7766]) ).

cnf(7769,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7767]) ).

cnf(7770,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7768]) ).

cnf(7771,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7769]) ).

cnf(7772,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7770]) ).

cnf(7773,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7771]) ).

cnf(7774,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,7772]) ).

cnf(7775,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,7773]) ).

cnf(7776,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7774]) ).

cnf(7777,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7775]) ).

cnf(7778,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7776]) ).

cnf(7779,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7777]) ).

cnf(7780,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7778]) ).

cnf(7781,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7779]) ).

cnf(7782,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7780]) ).

cnf(7783,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7781]) ).

cnf(7784,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7782]) ).

cnf(7785,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7783]) ).

cnf(7786,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7784]) ).

cnf(7787,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7785]) ).

cnf(7788,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7786]) ).

cnf(7789,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7787]) ).

cnf(7790,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,7788]) ).

cnf(7791,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,7789]) ).

cnf(7792,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7790]) ).

cnf(7793,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7791]) ).

cnf(7794,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7792]) ).

cnf(7795,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7793]) ).

cnf(7796,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7794]) ).

cnf(7797,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7795]) ).

cnf(7798,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7796]) ).

cnf(7799,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7797]) ).

cnf(7800,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7798]) ).

cnf(7801,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7799]) ).

cnf(7802,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7800]) ).

cnf(7803,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7801]) ).

cnf(7804,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7802]) ).

cnf(7805,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7803]) ).

cnf(7806,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,7804]) ).

cnf(7807,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,7805]) ).

cnf(7808,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7806]) ).

cnf(7809,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7807]) ).

cnf(7810,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7808]) ).

cnf(7811,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7809]) ).

cnf(7812,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7810]) ).

cnf(7813,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7811]) ).

cnf(7814,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7812]) ).

cnf(7815,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7813]) ).

cnf(7816,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7814]) ).

cnf(7817,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7815]) ).

cnf(7818,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7816]) ).

cnf(7819,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7817]) ).

cnf(7820,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7818]) ).

cnf(7821,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7819]) ).

cnf(7822,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,7820]) ).

cnf(7823,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,7821]) ).

cnf(7824,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7822]) ).

cnf(7825,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7823]) ).

cnf(7826,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7824]) ).

cnf(7827,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7825]) ).

cnf(7828,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7826]) ).

cnf(7829,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7827]) ).

cnf(7830,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7828]) ).

cnf(7831,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7829]) ).

cnf(7832,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7830]) ).

cnf(7833,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7831]) ).

cnf(7834,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7832]) ).

cnf(7835,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7833]) ).

cnf(7836,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7834]) ).

cnf(7837,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7835]) ).

cnf(7838,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,7836]) ).

cnf(7839,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,7837]) ).

cnf(7840,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7838]) ).

cnf(7841,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7839]) ).

cnf(7842,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7840]) ).

cnf(7843,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7841]) ).

cnf(7844,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7842]) ).

cnf(7845,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7843]) ).

cnf(7846,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7844]) ).

cnf(7847,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7845]) ).

cnf(7848,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7846]) ).

cnf(7849,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7847]) ).

cnf(7850,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7848]) ).

cnf(7851,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7849]) ).

cnf(7852,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7850]) ).

cnf(7853,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7851]) ).

cnf(7854,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,7852]) ).

cnf(7855,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,7853]) ).

cnf(7856,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7854]) ).

cnf(7857,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7855]) ).

cnf(7858,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7856]) ).

cnf(7859,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7857]) ).

cnf(7860,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7858]) ).

cnf(7861,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7859]) ).

cnf(7862,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7860]) ).

cnf(7863,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7861]) ).

cnf(7864,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7862]) ).

cnf(7865,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7863]) ).

cnf(7866,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7864]) ).

cnf(7867,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7865]) ).

cnf(7868,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7866]) ).

cnf(7869,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7867]) ).

cnf(7870,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,7868]) ).

cnf(7871,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,7869]) ).

cnf(7872,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7870]) ).

cnf(7873,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7871]) ).

cnf(7874,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7872]) ).

cnf(7875,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7873]) ).

cnf(7876,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7874]) ).

cnf(7877,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7875]) ).

cnf(7878,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7876]) ).

cnf(7879,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7877]) ).

cnf(7880,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7878]) ).

cnf(7881,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7879]) ).

cnf(7882,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7880]) ).

cnf(7883,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7881]) ).

cnf(7884,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7882]) ).

cnf(7885,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7883]) ).

cnf(7886,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,7884]) ).

cnf(7887,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,7885]) ).

cnf(7888,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7886]) ).

cnf(7889,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7887]) ).

cnf(7890,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7888]) ).

cnf(7891,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7889]) ).

cnf(7892,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7890]) ).

cnf(7893,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7891]) ).

cnf(7894,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7892]) ).

cnf(7895,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7893]) ).

cnf(7896,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7894]) ).

cnf(7897,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7895]) ).

cnf(7898,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7896]) ).

cnf(7899,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7897]) ).

cnf(7900,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7898]) ).

cnf(7901,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7899]) ).

cnf(7902,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,7900]) ).

cnf(7903,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,7901]) ).

cnf(7904,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7902]) ).

cnf(7905,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7903]) ).

cnf(7906,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7904]) ).

cnf(7907,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7905]) ).

cnf(7908,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7906]) ).

cnf(7909,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7907]) ).

cnf(7910,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7908]) ).

cnf(7911,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7909]) ).

cnf(7912,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7910]) ).

cnf(7913,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7911]) ).

cnf(7914,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7912]) ).

cnf(7915,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7913]) ).

cnf(7916,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7914]) ).

cnf(7917,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7915]) ).

cnf(7918,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,7916]) ).

cnf(7919,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,7917]) ).

cnf(7920,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7918]) ).

cnf(7921,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7919]) ).

cnf(7922,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7920]) ).

cnf(7923,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7921]) ).

cnf(7924,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7922]) ).

cnf(7925,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7923]) ).

cnf(7926,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7924]) ).

cnf(7927,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7925]) ).

cnf(7928,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7926]) ).

cnf(7929,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7927]) ).

cnf(7930,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7928]) ).

cnf(7931,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7929]) ).

cnf(7932,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7930]) ).

cnf(7933,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7931]) ).

cnf(7934,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,7932]) ).

cnf(7935,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,7933]) ).

cnf(7936,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7934]) ).

cnf(7937,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7935]) ).

cnf(7938,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7936]) ).

cnf(7939,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7937]) ).

cnf(7940,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7938]) ).

cnf(7941,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7939]) ).

cnf(7942,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7940]) ).

cnf(7943,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7941]) ).

cnf(7944,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7942]) ).

cnf(7945,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7943]) ).

cnf(7946,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7944]) ).

cnf(7947,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7945]) ).

cnf(7948,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7946]) ).

cnf(7949,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7947]) ).

cnf(7950,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,7948]) ).

cnf(7951,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,7949]) ).

cnf(7952,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7950]) ).

cnf(7953,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7951]) ).

cnf(7954,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7952]) ).

cnf(7955,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7953]) ).

cnf(7956,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7954]) ).

cnf(7957,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7955]) ).

cnf(7958,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7956]) ).

cnf(7959,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7957]) ).

cnf(7960,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7958]) ).

cnf(7961,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7959]) ).

cnf(7962,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7960]) ).

cnf(7963,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7961]) ).

cnf(7964,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7962]) ).

cnf(7965,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7963]) ).

cnf(7966,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,7964]) ).

cnf(7967,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,7965]) ).

cnf(7968,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7966]) ).

cnf(7969,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7967]) ).

cnf(7970,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7968]) ).

cnf(7971,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7969]) ).

cnf(7972,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7970]) ).

cnf(7973,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7971]) ).

cnf(7974,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7972]) ).

cnf(7975,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7973]) ).

cnf(7976,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7974]) ).

cnf(7977,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7975]) ).

cnf(7978,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7976]) ).

cnf(7979,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7977]) ).

cnf(7980,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7978]) ).

cnf(7981,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7979]) ).

cnf(7982,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,7980]) ).

cnf(7983,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,7981]) ).

cnf(7984,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7982]) ).

cnf(7985,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7983]) ).

cnf(7986,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7984]) ).

cnf(7987,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7985]) ).

cnf(7988,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7986]) ).

cnf(7989,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7987]) ).

cnf(7990,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,7988]) ).

cnf(7991,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,7989]) ).

cnf(7992,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7990]) ).

cnf(7993,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7991]) ).

cnf(7994,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,7992]) ).

cnf(7995,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,7993]) ).

cnf(7996,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7994]) ).

cnf(7997,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7995]) ).

cnf(7998,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,7996]) ).

cnf(7999,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,7997]) ).

cnf(8000,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,7998]) ).

cnf(8001,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,7999]) ).

cnf(8002,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8000]) ).

cnf(8003,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8001]) ).

cnf(8004,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8002]) ).

cnf(8005,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8003]) ).

cnf(8006,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8004]) ).

cnf(8007,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8005]) ).

cnf(8008,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8006]) ).

cnf(8009,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8007]) ).

cnf(8010,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8008]) ).

cnf(8011,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8009]) ).

cnf(8012,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8010]) ).

cnf(8013,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8011]) ).

cnf(8014,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,8012]) ).

cnf(8015,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,8013]) ).

cnf(8016,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8014]) ).

cnf(8017,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8015]) ).

cnf(8018,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8016]) ).

cnf(8019,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8017]) ).

cnf(8020,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8018]) ).

cnf(8021,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8019]) ).

cnf(8022,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8020]) ).

cnf(8023,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8021]) ).

cnf(8024,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8022]) ).

cnf(8025,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8023]) ).

cnf(8026,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8024]) ).

cnf(8027,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8025]) ).

cnf(8028,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8026]) ).

cnf(8029,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8027]) ).

cnf(8030,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,8028]) ).

cnf(8031,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,8029]) ).

cnf(8032,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8030]) ).

cnf(8033,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8031]) ).

cnf(8034,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8032]) ).

cnf(8035,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8033]) ).

cnf(8036,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8034]) ).

cnf(8037,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8035]) ).

cnf(8038,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8036]) ).

cnf(8039,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8037]) ).

cnf(8040,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8038]) ).

cnf(8041,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8039]) ).

cnf(8042,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8040]) ).

cnf(8043,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8041]) ).

cnf(8044,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8042]) ).

cnf(8045,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8043]) ).

cnf(8046,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,8044]) ).

cnf(8047,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,8045]) ).

cnf(8048,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8046]) ).

cnf(8049,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8047]) ).

cnf(8050,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8048]) ).

cnf(8051,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8049]) ).

cnf(8052,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8050]) ).

cnf(8053,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8051]) ).

cnf(8054,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8052]) ).

cnf(8055,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8053]) ).

cnf(8056,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8054]) ).

cnf(8057,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8055]) ).

cnf(8058,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8056]) ).

cnf(8059,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8057]) ).

cnf(8060,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8058]) ).

cnf(8061,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8059]) ).

cnf(8062,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,8060]) ).

cnf(8063,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,8061]) ).

cnf(8064,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8062]) ).

cnf(8065,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8063]) ).

cnf(8066,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8064]) ).

cnf(8067,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8065]) ).

cnf(8068,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8066]) ).

cnf(8069,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8067]) ).

cnf(8070,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8068]) ).

cnf(8071,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8069]) ).

cnf(8072,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8070]) ).

cnf(8073,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8071]) ).

cnf(8074,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8072]) ).

cnf(8075,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8073]) ).

cnf(8076,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8074]) ).

cnf(8077,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8075]) ).

cnf(8078,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,8076]) ).

cnf(8079,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,8077]) ).

cnf(8080,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8078]) ).

cnf(8081,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8079]) ).

cnf(8082,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8080]) ).

cnf(8083,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8081]) ).

cnf(8084,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8082]) ).

cnf(8085,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8083]) ).

cnf(8086,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8084]) ).

cnf(8087,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8085]) ).

cnf(8088,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8086]) ).

cnf(8089,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8087]) ).

cnf(8090,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8088]) ).

cnf(8091,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8089]) ).

cnf(8092,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8090]) ).

cnf(8093,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8091]) ).

cnf(8094,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,8092]) ).

cnf(8095,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,8093]) ).

cnf(8096,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8094]) ).

cnf(8097,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8095]) ).

cnf(8098,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8096]) ).

cnf(8099,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8097]) ).

cnf(8100,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8098]) ).

cnf(8101,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8099]) ).

cnf(8102,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8100]) ).

cnf(8103,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8101]) ).

cnf(8104,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8102]) ).

cnf(8105,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8103]) ).

cnf(8106,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8104]) ).

cnf(8107,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8105]) ).

cnf(8108,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8106]) ).

cnf(8109,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8107]) ).

cnf(8110,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,8108]) ).

cnf(8111,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,8109]) ).

cnf(8112,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8110]) ).

cnf(8113,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8111]) ).

cnf(8114,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8112]) ).

cnf(8115,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8113]) ).

cnf(8116,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8114]) ).

cnf(8117,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8115]) ).

cnf(8118,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8116]) ).

cnf(8119,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8117]) ).

cnf(8120,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8118]) ).

cnf(8121,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8119]) ).

cnf(8122,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8120]) ).

cnf(8123,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8121]) ).

cnf(8124,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8122]) ).

cnf(8125,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8123]) ).

cnf(8126,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,8124]) ).

cnf(8127,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,8125]) ).

cnf(8128,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8126]) ).

cnf(8129,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8127]) ).

cnf(8130,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8128]) ).

cnf(8131,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8129]) ).

cnf(8132,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8130]) ).

cnf(8133,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8131]) ).

cnf(8134,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8132]) ).

cnf(8135,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8133]) ).

cnf(8136,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8134]) ).

cnf(8137,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8135]) ).

cnf(8138,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8136]) ).

cnf(8139,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8137]) ).

cnf(8140,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8138]) ).

cnf(8141,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8139]) ).

cnf(8142,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,8140]) ).

cnf(8143,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,8141]) ).

cnf(8144,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8142]) ).

cnf(8145,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8143]) ).

cnf(8146,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8144]) ).

cnf(8147,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8145]) ).

cnf(8148,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8146]) ).

cnf(8149,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8147]) ).

cnf(8150,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8148]) ).

cnf(8151,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8149]) ).

cnf(8152,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8150]) ).

cnf(8153,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8151]) ).

cnf(8154,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8152]) ).

cnf(8155,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8153]) ).

cnf(8156,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8154]) ).

cnf(8157,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8155]) ).

cnf(8158,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,8156]) ).

cnf(8159,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,8157]) ).

cnf(8160,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8158]) ).

cnf(8161,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8159]) ).

cnf(8162,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8160]) ).

cnf(8163,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8161]) ).

cnf(8164,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8162]) ).

cnf(8165,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8163]) ).

cnf(8166,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8164]) ).

cnf(8167,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8165]) ).

cnf(8168,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8166]) ).

cnf(8169,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8167]) ).

cnf(8170,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8168]) ).

cnf(8171,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8169]) ).

cnf(8172,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8170]) ).

cnf(8173,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8171]) ).

cnf(8174,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,8172]) ).

cnf(8175,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,8173]) ).

cnf(8176,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8174]) ).

cnf(8177,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8175]) ).

cnf(8178,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8176]) ).

cnf(8179,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8177]) ).

cnf(8180,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8178]) ).

cnf(8181,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8179]) ).

cnf(8182,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8180]) ).

cnf(8183,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8181]) ).

cnf(8184,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8182]) ).

cnf(8185,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8183]) ).

cnf(8186,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8184]) ).

cnf(8187,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8185]) ).

cnf(8188,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8186]) ).

cnf(8189,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8187]) ).

cnf(8190,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,8188]) ).

cnf(8191,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,8189]) ).

cnf(8192,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8190]) ).

cnf(8193,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8191]) ).

cnf(8194,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8192]) ).

cnf(8195,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8193]) ).

cnf(8196,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8194]) ).

cnf(8197,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8195]) ).

cnf(8198,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8196]) ).

cnf(8199,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8197]) ).

cnf(8200,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8198]) ).

cnf(8201,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8199]) ).

cnf(8202,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8200]) ).

cnf(8203,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8201]) ).

cnf(8204,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8202]) ).

cnf(8205,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8203]) ).

cnf(8206,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,8204]) ).

cnf(8207,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,8205]) ).

cnf(8208,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8206]) ).

cnf(8209,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8207]) ).

cnf(8210,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8208]) ).

cnf(8211,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8209]) ).

cnf(8212,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8210]) ).

cnf(8213,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8211]) ).

cnf(8214,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8212]) ).

cnf(8215,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8213]) ).

cnf(8216,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8214]) ).

cnf(8217,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8215]) ).

cnf(8218,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8216]) ).

cnf(8219,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8217]) ).

cnf(8220,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8218]) ).

cnf(8221,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8219]) ).

cnf(8222,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[15,8220]) ).

cnf(8223,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[15,8221]) ).

cnf(8224,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8222]) ).

cnf(8225,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8223]) ).

cnf(8226,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8224]) ).

cnf(8227,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8225]) ).

cnf(8228,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8226]) ).

cnf(8229,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8227]) ).

cnf(8230,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8228]) ).

cnf(8231,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8229]) ).

cnf(8232,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8230]) ).

cnf(8233,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8231]) ).

cnf(8234,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8232]) ).

cnf(8235,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8233]) ).

cnf(8236,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8234]) ).

cnf(8237,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8235]) ).

cnf(8238,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,8236]) ).

cnf(8239,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,8237]) ).

cnf(8240,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8238]) ).

cnf(8241,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8239]) ).

cnf(8242,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8240]) ).

cnf(8243,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8241]) ).

cnf(8244,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8242]) ).

cnf(8245,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8243]) ).

cnf(8246,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8244]) ).

cnf(8247,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8245]) ).

cnf(8248,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8246]) ).

cnf(8249,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8247]) ).

cnf(8250,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8248]) ).

cnf(8251,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8249]) ).

cnf(8252,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8250]) ).

cnf(8253,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8251]) ).

cnf(8254,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,8252]) ).

cnf(8255,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,8253]) ).

cnf(8256,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8254]) ).

cnf(8257,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8255]) ).

cnf(8258,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8256]) ).

cnf(8259,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8257]) ).

cnf(8260,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8258]) ).

cnf(8261,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8259]) ).

cnf(8262,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8260]) ).

cnf(8263,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8261]) ).

cnf(8264,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8262]) ).

cnf(8265,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8263]) ).

cnf(8266,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8264]) ).

cnf(8267,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8265]) ).

cnf(8268,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8266]) ).

cnf(8269,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8267]) ).

cnf(8270,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,8268]) ).

cnf(8271,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,8269]) ).

cnf(8272,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8270]) ).

cnf(8273,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8271]) ).

cnf(8274,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8272]) ).

cnf(8275,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8273]) ).

cnf(8276,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8274]) ).

cnf(8277,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8275]) ).

cnf(8278,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8276]) ).

cnf(8279,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8277]) ).

cnf(8280,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8278]) ).

cnf(8281,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8279]) ).

cnf(8282,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8280]) ).

cnf(8283,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8281]) ).

cnf(8284,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8282]) ).

cnf(8285,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8283]) ).

cnf(8286,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,8284]) ).

cnf(8287,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,8285]) ).

cnf(8288,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8286]) ).

cnf(8289,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8287]) ).

cnf(8290,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8288]) ).

cnf(8291,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8289]) ).

cnf(8292,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8290]) ).

cnf(8293,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8291]) ).

cnf(8294,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8292]) ).

cnf(8295,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8293]) ).

cnf(8296,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8294]) ).

cnf(8297,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8295]) ).

cnf(8298,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8296]) ).

cnf(8299,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8297]) ).

cnf(8300,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8298]) ).

cnf(8301,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8299]) ).

cnf(8302,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,8300]) ).

cnf(8303,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,8301]) ).

cnf(8304,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8302]) ).

cnf(8305,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8303]) ).

cnf(8306,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8304]) ).

cnf(8307,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8305]) ).

cnf(8308,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8306]) ).

cnf(8309,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8307]) ).

cnf(8310,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8308]) ).

cnf(8311,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8309]) ).

cnf(8312,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8310]) ).

cnf(8313,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8311]) ).

cnf(8314,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8312]) ).

cnf(8315,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8313]) ).

cnf(8316,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8314]) ).

cnf(8317,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8315]) ).

cnf(8318,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,8316]) ).

cnf(8319,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,8317]) ).

cnf(8320,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8318]) ).

cnf(8321,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8319]) ).

cnf(8322,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8320]) ).

cnf(8323,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8321]) ).

cnf(8324,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8322]) ).

cnf(8325,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8323]) ).

cnf(8326,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8324]) ).

cnf(8327,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8325]) ).

cnf(8328,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8326]) ).

cnf(8329,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8327]) ).

cnf(8330,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8328]) ).

cnf(8331,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8329]) ).

cnf(8332,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8330]) ).

cnf(8333,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8331]) ).

cnf(8334,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,8332]) ).

cnf(8335,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,8333]) ).

cnf(8336,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8334]) ).

cnf(8337,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8335]) ).

cnf(8338,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8336]) ).

cnf(8339,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8337]) ).

cnf(8340,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8338]) ).

cnf(8341,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8339]) ).

cnf(8342,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8340]) ).

cnf(8343,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8341]) ).

cnf(8344,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8342]) ).

cnf(8345,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8343]) ).

cnf(8346,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8344]) ).

cnf(8347,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8345]) ).

cnf(8348,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8346]) ).

cnf(8349,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8347]) ).

cnf(8350,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,8348]) ).

cnf(8351,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,8349]) ).

cnf(8352,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8350]) ).

cnf(8353,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8351]) ).

cnf(8354,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8352]) ).

cnf(8355,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8353]) ).

cnf(8356,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8354]) ).

cnf(8357,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8355]) ).

cnf(8358,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8356]) ).

cnf(8359,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8357]) ).

cnf(8360,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8358]) ).

cnf(8361,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8359]) ).

cnf(8362,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8360]) ).

cnf(8363,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8361]) ).

cnf(8364,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8362]) ).

cnf(8365,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8363]) ).

cnf(8366,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,8364]) ).

cnf(8367,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,8365]) ).

cnf(8368,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8366]) ).

cnf(8369,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8367]) ).

cnf(8370,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8368]) ).

cnf(8371,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8369]) ).

cnf(8372,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8370]) ).

cnf(8373,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8371]) ).

cnf(8374,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8372]) ).

cnf(8375,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8373]) ).

cnf(8376,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8374]) ).

cnf(8377,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8375]) ).

cnf(8378,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8376]) ).

cnf(8379,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8377]) ).

cnf(8380,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8378]) ).

cnf(8381,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8379]) ).

cnf(8382,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,8380]) ).

cnf(8383,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,8381]) ).

cnf(8384,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8382]) ).

cnf(8385,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8383]) ).

cnf(8386,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8384]) ).

cnf(8387,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8385]) ).

cnf(8388,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8386]) ).

cnf(8389,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8387]) ).

cnf(8390,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8388]) ).

cnf(8391,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8389]) ).

cnf(8392,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8390]) ).

cnf(8393,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8391]) ).

cnf(8394,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8392]) ).

cnf(8395,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8393]) ).

cnf(8396,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8394]) ).

cnf(8397,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8395]) ).

cnf(8398,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,8396]) ).

cnf(8399,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,8397]) ).

cnf(8400,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8398]) ).

cnf(8401,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8399]) ).

cnf(8402,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8400]) ).

cnf(8403,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8401]) ).

cnf(8404,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8402]) ).

cnf(8405,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8403]) ).

cnf(8406,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8404]) ).

cnf(8407,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8405]) ).

cnf(8408,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8406]) ).

cnf(8409,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8407]) ).

cnf(8410,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8408]) ).

cnf(8411,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8409]) ).

cnf(8412,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8410]) ).

cnf(8413,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8411]) ).

cnf(8414,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,8412]) ).

cnf(8415,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,8413]) ).

cnf(8416,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8414]) ).

cnf(8417,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8415]) ).

cnf(8418,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8416]) ).

cnf(8419,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8417]) ).

cnf(8420,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8418]) ).

cnf(8421,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8419]) ).

cnf(8422,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8420]) ).

cnf(8423,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8421]) ).

cnf(8424,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8422]) ).

cnf(8425,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8423]) ).

cnf(8426,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8424]) ).

cnf(8427,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8425]) ).

cnf(8428,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8426]) ).

cnf(8429,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8427]) ).

cnf(8430,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,8428]) ).

cnf(8431,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,8429]) ).

cnf(8432,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8430]) ).

cnf(8433,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8431]) ).

cnf(8434,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8432]) ).

cnf(8435,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8433]) ).

cnf(8436,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8434]) ).

cnf(8437,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8435]) ).

cnf(8438,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8436]) ).

cnf(8439,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8437]) ).

cnf(8440,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8438]) ).

cnf(8441,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8439]) ).

cnf(8442,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8440]) ).

cnf(8443,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8441]) ).

cnf(8444,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8442]) ).

cnf(8445,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8443]) ).

cnf(8446,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,8444]) ).

cnf(8447,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,8445]) ).

cnf(8448,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8446]) ).

cnf(8449,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8447]) ).

cnf(8450,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8448]) ).

cnf(8451,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8449]) ).

cnf(8452,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8450]) ).

cnf(8453,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8451]) ).

cnf(8454,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8452]) ).

cnf(8455,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8453]) ).

cnf(8456,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8454]) ).

cnf(8457,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8455]) ).

cnf(8458,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8456]) ).

cnf(8459,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8457]) ).

cnf(8460,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8458]) ).

cnf(8461,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8459]) ).

cnf(8462,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,8460]) ).

cnf(8463,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,8461]) ).

cnf(8464,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8462]) ).

cnf(8465,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8463]) ).

cnf(8466,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8464]) ).

cnf(8467,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8465]) ).

cnf(8468,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8466]) ).

cnf(8469,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8467]) ).

cnf(8470,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8468]) ).

cnf(8471,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8469]) ).

cnf(8472,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8470]) ).

cnf(8473,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8471]) ).

cnf(8474,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8472]) ).

cnf(8475,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8473]) ).

cnf(8476,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8474]) ).

cnf(8477,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8475]) ).

cnf(8478,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,8476]) ).

cnf(8479,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,8477]) ).

cnf(8480,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8478]) ).

cnf(8481,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8479]) ).

cnf(8482,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8480]) ).

cnf(8483,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8481]) ).

cnf(8484,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8482]) ).

cnf(8485,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8483]) ).

cnf(8486,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8484]) ).

cnf(8487,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8485]) ).

cnf(8488,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8486]) ).

cnf(8489,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8487]) ).

cnf(8490,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8488]) ).

cnf(8491,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8489]) ).

cnf(8492,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8490]) ).

cnf(8493,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8491]) ).

cnf(8494,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,8492]) ).

cnf(8495,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,8493]) ).

cnf(8496,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8494]) ).

cnf(8497,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8495]) ).

cnf(8498,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8496]) ).

cnf(8499,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8497]) ).

cnf(8500,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8498]) ).

cnf(8501,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8499]) ).

cnf(8502,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8500]) ).

cnf(8503,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8501]) ).

cnf(8504,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8502]) ).

cnf(8505,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8503]) ).

cnf(8506,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8504]) ).

cnf(8507,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8505]) ).

cnf(8508,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8506]) ).

cnf(8509,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8507]) ).

cnf(8510,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,8508]) ).

cnf(8511,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,8509]) ).

cnf(8512,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8510]) ).

cnf(8513,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8511]) ).

cnf(8514,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8512]) ).

cnf(8515,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8513]) ).

cnf(8516,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8514]) ).

cnf(8517,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8515]) ).

cnf(8518,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8516]) ).

cnf(8519,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8517]) ).

cnf(8520,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8518]) ).

cnf(8521,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8519]) ).

cnf(8522,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8520]) ).

cnf(8523,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8521]) ).

cnf(8524,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8522]) ).

cnf(8525,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8523]) ).

cnf(8526,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,8524]) ).

cnf(8527,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,8525]) ).

cnf(8528,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8526]) ).

cnf(8529,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8527]) ).

cnf(8530,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8528]) ).

cnf(8531,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8529]) ).

cnf(8532,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8530]) ).

cnf(8533,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8531]) ).

cnf(8534,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8532]) ).

cnf(8535,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8533]) ).

cnf(8536,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8534]) ).

cnf(8537,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8535]) ).

cnf(8538,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8536]) ).

cnf(8539,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8537]) ).

cnf(8540,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8538]) ).

cnf(8541,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8539]) ).

cnf(8542,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,8540]) ).

cnf(8543,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,8541]) ).

cnf(8544,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8542]) ).

cnf(8545,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8543]) ).

cnf(8546,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8544]) ).

cnf(8547,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8545]) ).

cnf(8548,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8546]) ).

cnf(8549,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8547]) ).

cnf(8550,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8548]) ).

cnf(8551,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8549]) ).

cnf(8552,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8550]) ).

cnf(8553,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8551]) ).

cnf(8554,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8552]) ).

cnf(8555,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8553]) ).

cnf(8556,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8554]) ).

cnf(8557,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8555]) ).

cnf(8558,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,8556]) ).

cnf(8559,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,8557]) ).

cnf(8560,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8558]) ).

cnf(8561,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8559]) ).

cnf(8562,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8560]) ).

cnf(8563,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8561]) ).

cnf(8564,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8562]) ).

cnf(8565,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8563]) ).

cnf(8566,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8564]) ).

cnf(8567,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8565]) ).

cnf(8568,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8566]) ).

cnf(8569,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8567]) ).

cnf(8570,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8568]) ).

cnf(8571,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8569]) ).

cnf(8572,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8570]) ).

cnf(8573,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8571]) ).

cnf(8574,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,8572]) ).

cnf(8575,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,8573]) ).

cnf(8576,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8574]) ).

cnf(8577,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8575]) ).

cnf(8578,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8576]) ).

cnf(8579,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8577]) ).

cnf(8580,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8578]) ).

cnf(8581,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8579]) ).

cnf(8582,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8580]) ).

cnf(8583,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8581]) ).

cnf(8584,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8582]) ).

cnf(8585,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8583]) ).

cnf(8586,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8584]) ).

cnf(8587,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8585]) ).

cnf(8588,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8586]) ).

cnf(8589,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8587]) ).

cnf(8590,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,8588]) ).

cnf(8591,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,8589]) ).

cnf(8592,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8590]) ).

cnf(8593,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8591]) ).

cnf(8594,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8592]) ).

cnf(8595,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8593]) ).

cnf(8596,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8594]) ).

cnf(8597,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8595]) ).

cnf(8598,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8596]) ).

cnf(8599,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8597]) ).

cnf(8600,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8598]) ).

cnf(8601,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8599]) ).

cnf(8602,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8600]) ).

cnf(8603,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8601]) ).

cnf(8604,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8602]) ).

cnf(8605,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8603]) ).

cnf(8606,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,8604]) ).

cnf(8607,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,8605]) ).

cnf(8608,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8606]) ).

cnf(8609,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8607]) ).

cnf(8610,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8608]) ).

cnf(8611,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8609]) ).

cnf(8612,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8610]) ).

cnf(8613,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8611]) ).

cnf(8614,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8612]) ).

cnf(8615,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8613]) ).

cnf(8616,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8614]) ).

cnf(8617,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8615]) ).

cnf(8618,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8616]) ).

cnf(8619,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8617]) ).

cnf(8620,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8618]) ).

cnf(8621,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8619]) ).

cnf(8622,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,8620]) ).

cnf(8623,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,8621]) ).

cnf(8624,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8622]) ).

cnf(8625,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8623]) ).

cnf(8626,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8624]) ).

cnf(8627,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8625]) ).

cnf(8628,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8626]) ).

cnf(8629,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8627]) ).

cnf(8630,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8628]) ).

cnf(8631,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8629]) ).

cnf(8632,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8630]) ).

cnf(8633,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8631]) ).

cnf(8634,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8632]) ).

cnf(8635,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8633]) ).

cnf(8636,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8634]) ).

cnf(8637,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8635]) ).

cnf(8638,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,8636]) ).

cnf(8639,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,8637]) ).

cnf(8640,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8638]) ).

cnf(8641,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8639]) ).

cnf(8642,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8640]) ).

cnf(8643,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8641]) ).

cnf(8644,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8642]) ).

cnf(8645,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8643]) ).

cnf(8646,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8644]) ).

cnf(8647,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8645]) ).

cnf(8648,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8646]) ).

cnf(8649,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8647]) ).

cnf(8650,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8648]) ).

cnf(8651,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8649]) ).

cnf(8652,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8650]) ).

cnf(8653,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8651]) ).

cnf(8654,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,8652]) ).

cnf(8655,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,8653]) ).

cnf(8656,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8654]) ).

cnf(8657,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8655]) ).

cnf(8658,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8656]) ).

cnf(8659,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8657]) ).

cnf(8660,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8658]) ).

cnf(8661,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8659]) ).

cnf(8662,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8660]) ).

cnf(8663,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8661]) ).

cnf(8664,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8662]) ).

cnf(8665,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8663]) ).

cnf(8666,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8664]) ).

cnf(8667,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8665]) ).

cnf(8668,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8666]) ).

cnf(8669,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8667]) ).

cnf(8670,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,8668]) ).

cnf(8671,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,8669]) ).

cnf(8672,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8670]) ).

cnf(8673,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8671]) ).

cnf(8674,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8672]) ).

cnf(8675,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8673]) ).

cnf(8676,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8674]) ).

cnf(8677,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8675]) ).

cnf(8678,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8676]) ).

cnf(8679,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8677]) ).

cnf(8680,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8678]) ).

cnf(8681,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8679]) ).

cnf(8682,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8680]) ).

cnf(8683,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8681]) ).

cnf(8684,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8682]) ).

cnf(8685,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8683]) ).

cnf(8686,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,8684]) ).

cnf(8687,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,8685]) ).

cnf(8688,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8686]) ).

cnf(8689,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8687]) ).

cnf(8690,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8688]) ).

cnf(8691,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8689]) ).

cnf(8692,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8690]) ).

cnf(8693,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8691]) ).

cnf(8694,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8692]) ).

cnf(8695,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8693]) ).

cnf(8696,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8694]) ).

cnf(8697,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8695]) ).

cnf(8698,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8696]) ).

cnf(8699,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8697]) ).

cnf(8700,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8698]) ).

cnf(8701,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8699]) ).

cnf(8702,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,8700]) ).

cnf(8703,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,8701]) ).

cnf(8704,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8702]) ).

cnf(8705,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8703]) ).

cnf(8706,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8704]) ).

cnf(8707,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8705]) ).

cnf(8708,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8706]) ).

cnf(8709,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8707]) ).

cnf(8710,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8708]) ).

cnf(8711,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8709]) ).

cnf(8712,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8710]) ).

cnf(8713,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8711]) ).

cnf(8714,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8712]) ).

cnf(8715,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8713]) ).

cnf(8716,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8714]) ).

cnf(8717,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8715]) ).

cnf(8718,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,8716]) ).

cnf(8719,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,8717]) ).

cnf(8720,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8718]) ).

cnf(8721,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8719]) ).

cnf(8722,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8720]) ).

cnf(8723,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8721]) ).

cnf(8724,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8722]) ).

cnf(8725,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8723]) ).

cnf(8726,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8724]) ).

cnf(8727,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8725]) ).

cnf(8728,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8726]) ).

cnf(8729,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8727]) ).

cnf(8730,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8728]) ).

cnf(8731,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8729]) ).

cnf(8732,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8730]) ).

cnf(8733,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8731]) ).

cnf(8734,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[11,8732]) ).

cnf(8735,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[11,8733]) ).

cnf(8736,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8734]) ).

cnf(8737,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8735]) ).

cnf(8738,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8736]) ).

cnf(8739,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8737]) ).

cnf(8740,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8738]) ).

cnf(8741,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8739]) ).

cnf(8742,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8740]) ).

cnf(8743,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8741]) ).

cnf(8744,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8742]) ).

cnf(8745,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8743]) ).

cnf(8746,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8744]) ).

cnf(8747,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8745]) ).

cnf(8748,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8746]) ).

cnf(8749,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8747]) ).

cnf(8750,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,8748]) ).

cnf(8751,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,8749]) ).

cnf(8752,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8750]) ).

cnf(8753,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8751]) ).

cnf(8754,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8752]) ).

cnf(8755,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8753]) ).

cnf(8756,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8754]) ).

cnf(8757,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8755]) ).

cnf(8758,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8756]) ).

cnf(8759,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8757]) ).

cnf(8760,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8758]) ).

cnf(8761,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8759]) ).

cnf(8762,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8760]) ).

cnf(8763,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8761]) ).

cnf(8764,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8762]) ).

cnf(8765,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8763]) ).

cnf(8766,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,8764]) ).

cnf(8767,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,8765]) ).

cnf(8768,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8766]) ).

cnf(8769,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8767]) ).

cnf(8770,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8768]) ).

cnf(8771,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8769]) ).

cnf(8772,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8770]) ).

cnf(8773,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8771]) ).

cnf(8774,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8772]) ).

cnf(8775,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8773]) ).

cnf(8776,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8774]) ).

cnf(8777,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8775]) ).

cnf(8778,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8776]) ).

cnf(8779,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8777]) ).

cnf(8780,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8778]) ).

cnf(8781,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8779]) ).

cnf(8782,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,8780]) ).

cnf(8783,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,8781]) ).

cnf(8784,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8782]) ).

cnf(8785,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8783]) ).

cnf(8786,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8784]) ).

cnf(8787,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8785]) ).

cnf(8788,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8786]) ).

cnf(8789,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8787]) ).

cnf(8790,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8788]) ).

cnf(8791,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8789]) ).

cnf(8792,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8790]) ).

cnf(8793,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8791]) ).

cnf(8794,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8792]) ).

cnf(8795,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8793]) ).

cnf(8796,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8794]) ).

cnf(8797,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8795]) ).

cnf(8798,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,8796]) ).

cnf(8799,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,8797]) ).

cnf(8800,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8798]) ).

cnf(8801,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8799]) ).

cnf(8802,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8800]) ).

cnf(8803,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8801]) ).

cnf(8804,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8802]) ).

cnf(8805,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8803]) ).

cnf(8806,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8804]) ).

cnf(8807,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8805]) ).

cnf(8808,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8806]) ).

cnf(8809,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8807]) ).

cnf(8810,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8808]) ).

cnf(8811,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8809]) ).

cnf(8812,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8810]) ).

cnf(8813,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8811]) ).

cnf(8814,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,8812]) ).

cnf(8815,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,8813]) ).

cnf(8816,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8814]) ).

cnf(8817,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8815]) ).

cnf(8818,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8816]) ).

cnf(8819,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8817]) ).

cnf(8820,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8818]) ).

cnf(8821,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8819]) ).

cnf(8822,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8820]) ).

cnf(8823,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8821]) ).

cnf(8824,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8822]) ).

cnf(8825,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8823]) ).

cnf(8826,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8824]) ).

cnf(8827,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8825]) ).

cnf(8828,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8826]) ).

cnf(8829,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8827]) ).

cnf(8830,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,8828]) ).

cnf(8831,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,8829]) ).

cnf(8832,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8830]) ).

cnf(8833,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8831]) ).

cnf(8834,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8832]) ).

cnf(8835,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8833]) ).

cnf(8836,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8834]) ).

cnf(8837,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8835]) ).

cnf(8838,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8836]) ).

cnf(8839,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8837]) ).

cnf(8840,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8838]) ).

cnf(8841,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8839]) ).

cnf(8842,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8840]) ).

cnf(8843,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8841]) ).

cnf(8844,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8842]) ).

cnf(8845,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8843]) ).

cnf(8846,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,8844]) ).

cnf(8847,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,8845]) ).

cnf(8848,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8846]) ).

cnf(8849,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8847]) ).

cnf(8850,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8848]) ).

cnf(8851,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8849]) ).

cnf(8852,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8850]) ).

cnf(8853,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8851]) ).

cnf(8854,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8852]) ).

cnf(8855,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8853]) ).

cnf(8856,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8854]) ).

cnf(8857,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8855]) ).

cnf(8858,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8856]) ).

cnf(8859,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8857]) ).

cnf(8860,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8858]) ).

cnf(8861,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8859]) ).

cnf(8862,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,8860]) ).

cnf(8863,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,8861]) ).

cnf(8864,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8862]) ).

cnf(8865,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8863]) ).

cnf(8866,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8864]) ).

cnf(8867,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8865]) ).

cnf(8868,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8866]) ).

cnf(8869,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8867]) ).

cnf(8870,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8868]) ).

cnf(8871,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8869]) ).

cnf(8872,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8870]) ).

cnf(8873,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8871]) ).

cnf(8874,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8872]) ).

cnf(8875,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8873]) ).

cnf(8876,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8874]) ).

cnf(8877,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8875]) ).

cnf(8878,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,8876]) ).

cnf(8879,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,8877]) ).

cnf(8880,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8878]) ).

cnf(8881,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8879]) ).

cnf(8882,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8880]) ).

cnf(8883,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8881]) ).

cnf(8884,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8882]) ).

cnf(8885,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8883]) ).

cnf(8886,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8884]) ).

cnf(8887,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8885]) ).

cnf(8888,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8886]) ).

cnf(8889,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8887]) ).

cnf(8890,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8888]) ).

cnf(8891,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8889]) ).

cnf(8892,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8890]) ).

cnf(8893,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8891]) ).

cnf(8894,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,8892]) ).

cnf(8895,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,8893]) ).

cnf(8896,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8894]) ).

cnf(8897,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8895]) ).

cnf(8898,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8896]) ).

cnf(8899,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8897]) ).

cnf(8900,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8898]) ).

cnf(8901,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8899]) ).

cnf(8902,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8900]) ).

cnf(8903,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8901]) ).

cnf(8904,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8902]) ).

cnf(8905,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8903]) ).

cnf(8906,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8904]) ).

cnf(8907,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8905]) ).

cnf(8908,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8906]) ).

cnf(8909,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8907]) ).

cnf(8910,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,8908]) ).

cnf(8911,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,8909]) ).

cnf(8912,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8910]) ).

cnf(8913,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8911]) ).

cnf(8914,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8912]) ).

cnf(8915,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8913]) ).

cnf(8916,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8914]) ).

cnf(8917,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8915]) ).

cnf(8918,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8916]) ).

cnf(8919,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8917]) ).

cnf(8920,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8918]) ).

cnf(8921,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8919]) ).

cnf(8922,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8920]) ).

cnf(8923,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8921]) ).

cnf(8924,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8922]) ).

cnf(8925,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8923]) ).

cnf(8926,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,8924]) ).

cnf(8927,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,8925]) ).

cnf(8928,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8926]) ).

cnf(8929,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8927]) ).

cnf(8930,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8928]) ).

cnf(8931,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8929]) ).

cnf(8932,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8930]) ).

cnf(8933,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8931]) ).

cnf(8934,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8932]) ).

cnf(8935,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8933]) ).

cnf(8936,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8934]) ).

cnf(8937,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8935]) ).

cnf(8938,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8936]) ).

cnf(8939,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8937]) ).

cnf(8940,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8938]) ).

cnf(8941,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8939]) ).

cnf(8942,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,8940]) ).

cnf(8943,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,8941]) ).

cnf(8944,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8942]) ).

cnf(8945,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8943]) ).

cnf(8946,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8944]) ).

cnf(8947,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8945]) ).

cnf(8948,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8946]) ).

cnf(8949,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8947]) ).

cnf(8950,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8948]) ).

cnf(8951,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8949]) ).

cnf(8952,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8950]) ).

cnf(8953,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8951]) ).

cnf(8954,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8952]) ).

cnf(8955,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8953]) ).

cnf(8956,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8954]) ).

cnf(8957,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8955]) ).

cnf(8958,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,8956]) ).

cnf(8959,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,8957]) ).

cnf(8960,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8958]) ).

cnf(8961,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8959]) ).

cnf(8962,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8960]) ).

cnf(8963,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8961]) ).

cnf(8964,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8962]) ).

cnf(8965,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8963]) ).

cnf(8966,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8964]) ).

cnf(8967,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8965]) ).

cnf(8968,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8966]) ).

cnf(8969,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8967]) ).

cnf(8970,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8968]) ).

cnf(8971,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8969]) ).

cnf(8972,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8970]) ).

cnf(8973,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8971]) ).

cnf(8974,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,8972]) ).

cnf(8975,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,8973]) ).

cnf(8976,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8974]) ).

cnf(8977,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8975]) ).

cnf(8978,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8976]) ).

cnf(8979,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8977]) ).

cnf(8980,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8978]) ).

cnf(8981,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8979]) ).

cnf(8982,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8980]) ).

cnf(8983,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8981]) ).

cnf(8984,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8982]) ).

cnf(8985,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8983]) ).

cnf(8986,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8984]) ).

cnf(8987,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8985]) ).

cnf(8988,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8986]) ).

cnf(8989,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8987]) ).

cnf(8990,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,8988]) ).

cnf(8991,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,8989]) ).

cnf(8992,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8990]) ).

cnf(8993,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8991]) ).

cnf(8994,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,8992]) ).

cnf(8995,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,8993]) ).

cnf(8996,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8994]) ).

cnf(8997,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8995]) ).

cnf(8998,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,8996]) ).

cnf(8999,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,8997]) ).

cnf(9000,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,8998]) ).

cnf(9001,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,8999]) ).

cnf(9002,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9000]) ).

cnf(9003,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9001]) ).

cnf(9004,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9002]) ).

cnf(9005,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9003]) ).

cnf(9006,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,9004]) ).

cnf(9007,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,9005]) ).

cnf(9008,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9006]) ).

cnf(9009,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9007]) ).

cnf(9010,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9008]) ).

cnf(9011,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9009]) ).

cnf(9012,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9010]) ).

cnf(9013,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9011]) ).

cnf(9014,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9012]) ).

cnf(9015,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9013]) ).

cnf(9016,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9014]) ).

cnf(9017,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9015]) ).

cnf(9018,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9016]) ).

cnf(9019,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9017]) ).

cnf(9020,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9018]) ).

cnf(9021,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9019]) ).

cnf(9022,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,9020]) ).

cnf(9023,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,9021]) ).

cnf(9024,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9022]) ).

cnf(9025,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9023]) ).

cnf(9026,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9024]) ).

cnf(9027,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9025]) ).

cnf(9028,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9026]) ).

cnf(9029,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9027]) ).

cnf(9030,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9028]) ).

cnf(9031,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9029]) ).

cnf(9032,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9030]) ).

cnf(9033,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9031]) ).

cnf(9034,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9032]) ).

cnf(9035,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9033]) ).

cnf(9036,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9034]) ).

cnf(9037,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9035]) ).

cnf(9038,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,9036]) ).

cnf(9039,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,9037]) ).

cnf(9040,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9038]) ).

cnf(9041,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9039]) ).

cnf(9042,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9040]) ).

cnf(9043,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9041]) ).

cnf(9044,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9042]) ).

cnf(9045,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9043]) ).

cnf(9046,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9044]) ).

cnf(9047,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9045]) ).

cnf(9048,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9046]) ).

cnf(9049,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9047]) ).

cnf(9050,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9048]) ).

cnf(9051,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9049]) ).

cnf(9052,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9050]) ).

cnf(9053,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9051]) ).

cnf(9054,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,9052]) ).

cnf(9055,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,9053]) ).

cnf(9056,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9054]) ).

cnf(9057,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9055]) ).

cnf(9058,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9056]) ).

cnf(9059,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9057]) ).

cnf(9060,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9058]) ).

cnf(9061,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9059]) ).

cnf(9062,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9060]) ).

cnf(9063,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9061]) ).

cnf(9064,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9062]) ).

cnf(9065,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9063]) ).

cnf(9066,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9064]) ).

cnf(9067,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9065]) ).

cnf(9068,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9066]) ).

cnf(9069,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9067]) ).

cnf(9070,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,9068]) ).

cnf(9071,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,9069]) ).

cnf(9072,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9070]) ).

cnf(9073,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9071]) ).

cnf(9074,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9072]) ).

cnf(9075,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9073]) ).

cnf(9076,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9074]) ).

cnf(9077,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9075]) ).

cnf(9078,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9076]) ).

cnf(9079,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9077]) ).

cnf(9080,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9078]) ).

cnf(9081,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9079]) ).

cnf(9082,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9080]) ).

cnf(9083,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9081]) ).

cnf(9084,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9082]) ).

cnf(9085,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9083]) ).

cnf(9086,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,9084]) ).

cnf(9087,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,9085]) ).

cnf(9088,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9086]) ).

cnf(9089,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9087]) ).

cnf(9090,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9088]) ).

cnf(9091,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9089]) ).

cnf(9092,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9090]) ).

cnf(9093,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9091]) ).

cnf(9094,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9092]) ).

cnf(9095,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9093]) ).

cnf(9096,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9094]) ).

cnf(9097,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9095]) ).

cnf(9098,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9096]) ).

cnf(9099,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9097]) ).

cnf(9100,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9098]) ).

cnf(9101,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9099]) ).

cnf(9102,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,9100]) ).

cnf(9103,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,9101]) ).

cnf(9104,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9102]) ).

cnf(9105,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9103]) ).

cnf(9106,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9104]) ).

cnf(9107,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9105]) ).

cnf(9108,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9106]) ).

cnf(9109,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9107]) ).

cnf(9110,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9108]) ).

cnf(9111,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9109]) ).

cnf(9112,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9110]) ).

cnf(9113,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9111]) ).

cnf(9114,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9112]) ).

cnf(9115,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9113]) ).

cnf(9116,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9114]) ).

cnf(9117,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9115]) ).

cnf(9118,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,9116]) ).

cnf(9119,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,9117]) ).

cnf(9120,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9118]) ).

cnf(9121,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9119]) ).

cnf(9122,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9120]) ).

cnf(9123,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9121]) ).

cnf(9124,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9122]) ).

cnf(9125,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9123]) ).

cnf(9126,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9124]) ).

cnf(9127,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9125]) ).

cnf(9128,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9126]) ).

cnf(9129,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9127]) ).

cnf(9130,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9128]) ).

cnf(9131,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9129]) ).

cnf(9132,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9130]) ).

cnf(9133,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9131]) ).

cnf(9134,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,9132]) ).

cnf(9135,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,9133]) ).

cnf(9136,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9134]) ).

cnf(9137,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9135]) ).

cnf(9138,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9136]) ).

cnf(9139,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9137]) ).

cnf(9140,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9138]) ).

cnf(9141,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9139]) ).

cnf(9142,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9140]) ).

cnf(9143,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9141]) ).

cnf(9144,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9142]) ).

cnf(9145,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9143]) ).

cnf(9146,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9144]) ).

cnf(9147,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9145]) ).

cnf(9148,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9146]) ).

cnf(9149,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9147]) ).

cnf(9150,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,9148]) ).

cnf(9151,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,9149]) ).

cnf(9152,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9150]) ).

cnf(9153,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9151]) ).

cnf(9154,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9152]) ).

cnf(9155,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9153]) ).

cnf(9156,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9154]) ).

cnf(9157,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9155]) ).

cnf(9158,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9156]) ).

cnf(9159,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9157]) ).

cnf(9160,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9158]) ).

cnf(9161,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9159]) ).

cnf(9162,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9160]) ).

cnf(9163,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9161]) ).

cnf(9164,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9162]) ).

cnf(9165,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9163]) ).

cnf(9166,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,9164]) ).

cnf(9167,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,9165]) ).

cnf(9168,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9166]) ).

cnf(9169,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9167]) ).

cnf(9170,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9168]) ).

cnf(9171,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9169]) ).

cnf(9172,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9170]) ).

cnf(9173,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9171]) ).

cnf(9174,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9172]) ).

cnf(9175,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9173]) ).

cnf(9176,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9174]) ).

cnf(9177,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9175]) ).

cnf(9178,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9176]) ).

cnf(9179,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9177]) ).

cnf(9180,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9178]) ).

cnf(9181,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9179]) ).

cnf(9182,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,9180]) ).

cnf(9183,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,9181]) ).

cnf(9184,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9182]) ).

cnf(9185,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9183]) ).

cnf(9186,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9184]) ).

cnf(9187,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9185]) ).

cnf(9188,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9186]) ).

cnf(9189,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9187]) ).

cnf(9190,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9188]) ).

cnf(9191,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9189]) ).

cnf(9192,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9190]) ).

cnf(9193,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9191]) ).

cnf(9194,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9192]) ).

cnf(9195,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9193]) ).

cnf(9196,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9194]) ).

cnf(9197,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9195]) ).

cnf(9198,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,9196]) ).

cnf(9199,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,9197]) ).

cnf(9200,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9198]) ).

cnf(9201,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9199]) ).

cnf(9202,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9200]) ).

cnf(9203,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9201]) ).

cnf(9204,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9202]) ).

cnf(9205,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9203]) ).

cnf(9206,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9204]) ).

cnf(9207,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9205]) ).

cnf(9208,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9206]) ).

cnf(9209,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9207]) ).

cnf(9210,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9208]) ).

cnf(9211,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9209]) ).

cnf(9212,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9210]) ).

cnf(9213,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9211]) ).

cnf(9214,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,9212]) ).

cnf(9215,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,9213]) ).

cnf(9216,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9214]) ).

cnf(9217,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9215]) ).

cnf(9218,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9216]) ).

cnf(9219,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9217]) ).

cnf(9220,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9218]) ).

cnf(9221,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9219]) ).

cnf(9222,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9220]) ).

cnf(9223,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9221]) ).

cnf(9224,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9222]) ).

cnf(9225,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9223]) ).

cnf(9226,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9224]) ).

cnf(9227,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9225]) ).

cnf(9228,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9226]) ).

cnf(9229,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9227]) ).

cnf(9230,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,9228]) ).

cnf(9231,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,9229]) ).

cnf(9232,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9230]) ).

cnf(9233,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9231]) ).

cnf(9234,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9232]) ).

cnf(9235,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9233]) ).

cnf(9236,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9234]) ).

cnf(9237,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9235]) ).

cnf(9238,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9236]) ).

cnf(9239,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9237]) ).

cnf(9240,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9238]) ).

cnf(9241,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9239]) ).

cnf(9242,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9240]) ).

cnf(9243,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9241]) ).

cnf(9244,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9242]) ).

cnf(9245,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9243]) ).

cnf(9246,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[12,9244]) ).

cnf(9247,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[12,9245]) ).

cnf(9248,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9246]) ).

cnf(9249,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9247]) ).

cnf(9250,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9248]) ).

cnf(9251,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9249]) ).

cnf(9252,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9250]) ).

cnf(9253,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9251]) ).

cnf(9254,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9252]) ).

cnf(9255,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9253]) ).

cnf(9256,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9254]) ).

cnf(9257,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9255]) ).

cnf(9258,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9256]) ).

cnf(9259,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9257]) ).

cnf(9260,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9258]) ).

cnf(9261,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9259]) ).

cnf(9262,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,9260]) ).

cnf(9263,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,9261]) ).

cnf(9264,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9262]) ).

cnf(9265,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9263]) ).

cnf(9266,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9264]) ).

cnf(9267,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9265]) ).

cnf(9268,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9266]) ).

cnf(9269,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9267]) ).

cnf(9270,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9268]) ).

cnf(9271,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9269]) ).

cnf(9272,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9270]) ).

cnf(9273,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9271]) ).

cnf(9274,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9272]) ).

cnf(9275,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9273]) ).

cnf(9276,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9274]) ).

cnf(9277,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9275]) ).

cnf(9278,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,9276]) ).

cnf(9279,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,9277]) ).

cnf(9280,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9278]) ).

cnf(9281,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9279]) ).

cnf(9282,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9280]) ).

cnf(9283,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9281]) ).

cnf(9284,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9282]) ).

cnf(9285,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9283]) ).

cnf(9286,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9284]) ).

cnf(9287,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9285]) ).

cnf(9288,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9286]) ).

cnf(9289,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9287]) ).

cnf(9290,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9288]) ).

cnf(9291,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9289]) ).

cnf(9292,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9290]) ).

cnf(9293,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9291]) ).

cnf(9294,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,9292]) ).

cnf(9295,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,9293]) ).

cnf(9296,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9294]) ).

cnf(9297,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9295]) ).

cnf(9298,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9296]) ).

cnf(9299,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9297]) ).

cnf(9300,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9298]) ).

cnf(9301,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9299]) ).

cnf(9302,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9300]) ).

cnf(9303,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9301]) ).

cnf(9304,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9302]) ).

cnf(9305,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9303]) ).

cnf(9306,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9304]) ).

cnf(9307,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9305]) ).

cnf(9308,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9306]) ).

cnf(9309,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9307]) ).

cnf(9310,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,9308]) ).

cnf(9311,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,9309]) ).

cnf(9312,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9310]) ).

cnf(9313,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9311]) ).

cnf(9314,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9312]) ).

cnf(9315,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9313]) ).

cnf(9316,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9314]) ).

cnf(9317,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9315]) ).

cnf(9318,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9316]) ).

cnf(9319,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9317]) ).

cnf(9320,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9318]) ).

cnf(9321,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9319]) ).

cnf(9322,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9320]) ).

cnf(9323,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9321]) ).

cnf(9324,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9322]) ).

cnf(9325,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9323]) ).

cnf(9326,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,9324]) ).

cnf(9327,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,9325]) ).

cnf(9328,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9326]) ).

cnf(9329,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9327]) ).

cnf(9330,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9328]) ).

cnf(9331,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9329]) ).

cnf(9332,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9330]) ).

cnf(9333,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9331]) ).

cnf(9334,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9332]) ).

cnf(9335,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9333]) ).

cnf(9336,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9334]) ).

cnf(9337,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9335]) ).

cnf(9338,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9336]) ).

cnf(9339,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9337]) ).

cnf(9340,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9338]) ).

cnf(9341,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9339]) ).

cnf(9342,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,9340]) ).

cnf(9343,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,9341]) ).

cnf(9344,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9342]) ).

cnf(9345,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9343]) ).

cnf(9346,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9344]) ).

cnf(9347,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9345]) ).

cnf(9348,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9346]) ).

cnf(9349,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9347]) ).

cnf(9350,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9348]) ).

cnf(9351,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9349]) ).

cnf(9352,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9350]) ).

cnf(9353,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9351]) ).

cnf(9354,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9352]) ).

cnf(9355,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9353]) ).

cnf(9356,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9354]) ).

cnf(9357,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9355]) ).

cnf(9358,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,9356]) ).

cnf(9359,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,9357]) ).

cnf(9360,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9358]) ).

cnf(9361,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9359]) ).

cnf(9362,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9360]) ).

cnf(9363,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9361]) ).

cnf(9364,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9362]) ).

cnf(9365,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9363]) ).

cnf(9366,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9364]) ).

cnf(9367,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9365]) ).

cnf(9368,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9366]) ).

cnf(9369,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9367]) ).

cnf(9370,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9368]) ).

cnf(9371,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9369]) ).

cnf(9372,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9370]) ).

cnf(9373,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9371]) ).

cnf(9374,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,9372]) ).

cnf(9375,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,9373]) ).

cnf(9376,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9374]) ).

cnf(9377,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9375]) ).

cnf(9378,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9376]) ).

cnf(9379,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9377]) ).

cnf(9380,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9378]) ).

cnf(9381,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9379]) ).

cnf(9382,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9380]) ).

cnf(9383,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9381]) ).

cnf(9384,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9382]) ).

cnf(9385,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9383]) ).

cnf(9386,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9384]) ).

cnf(9387,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9385]) ).

cnf(9388,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9386]) ).

cnf(9389,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9387]) ).

cnf(9390,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,9388]) ).

cnf(9391,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,9389]) ).

cnf(9392,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9390]) ).

cnf(9393,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9391]) ).

cnf(9394,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9392]) ).

cnf(9395,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9393]) ).

cnf(9396,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9394]) ).

cnf(9397,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9395]) ).

cnf(9398,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9396]) ).

cnf(9399,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9397]) ).

cnf(9400,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9398]) ).

cnf(9401,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9399]) ).

cnf(9402,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9400]) ).

cnf(9403,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9401]) ).

cnf(9404,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9402]) ).

cnf(9405,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9403]) ).

cnf(9406,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,9404]) ).

cnf(9407,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,9405]) ).

cnf(9408,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9406]) ).

cnf(9409,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9407]) ).

cnf(9410,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9408]) ).

cnf(9411,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9409]) ).

cnf(9412,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9410]) ).

cnf(9413,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9411]) ).

cnf(9414,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9412]) ).

cnf(9415,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9413]) ).

cnf(9416,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9414]) ).

cnf(9417,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9415]) ).

cnf(9418,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9416]) ).

cnf(9419,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9417]) ).

cnf(9420,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9418]) ).

cnf(9421,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9419]) ).

cnf(9422,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,9420]) ).

cnf(9423,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,9421]) ).

cnf(9424,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9422]) ).

cnf(9425,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9423]) ).

cnf(9426,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9424]) ).

cnf(9427,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9425]) ).

cnf(9428,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9426]) ).

cnf(9429,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9427]) ).

cnf(9430,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9428]) ).

cnf(9431,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9429]) ).

cnf(9432,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9430]) ).

cnf(9433,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9431]) ).

cnf(9434,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9432]) ).

cnf(9435,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9433]) ).

cnf(9436,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9434]) ).

cnf(9437,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9435]) ).

cnf(9438,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,9436]) ).

cnf(9439,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,9437]) ).

cnf(9440,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9438]) ).

cnf(9441,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9439]) ).

cnf(9442,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9440]) ).

cnf(9443,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9441]) ).

cnf(9444,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9442]) ).

cnf(9445,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9443]) ).

cnf(9446,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9444]) ).

cnf(9447,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9445]) ).

cnf(9448,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9446]) ).

cnf(9449,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9447]) ).

cnf(9450,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9448]) ).

cnf(9451,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9449]) ).

cnf(9452,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9450]) ).

cnf(9453,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9451]) ).

cnf(9454,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,9452]) ).

cnf(9455,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,9453]) ).

cnf(9456,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9454]) ).

cnf(9457,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9455]) ).

cnf(9458,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9456]) ).

cnf(9459,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9457]) ).

cnf(9460,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9458]) ).

cnf(9461,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9459]) ).

cnf(9462,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9460]) ).

cnf(9463,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9461]) ).

cnf(9464,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9462]) ).

cnf(9465,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9463]) ).

cnf(9466,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9464]) ).

cnf(9467,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9465]) ).

cnf(9468,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9466]) ).

cnf(9469,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9467]) ).

cnf(9470,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,9468]) ).

cnf(9471,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,9469]) ).

cnf(9472,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9470]) ).

cnf(9473,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9471]) ).

cnf(9474,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9472]) ).

cnf(9475,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9473]) ).

cnf(9476,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9474]) ).

cnf(9477,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9475]) ).

cnf(9478,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9476]) ).

cnf(9479,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9477]) ).

cnf(9480,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9478]) ).

cnf(9481,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9479]) ).

cnf(9482,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9480]) ).

cnf(9483,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9481]) ).

cnf(9484,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9482]) ).

cnf(9485,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9483]) ).

cnf(9486,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,9484]) ).

cnf(9487,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,9485]) ).

cnf(9488,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9486]) ).

cnf(9489,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9487]) ).

cnf(9490,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9488]) ).

cnf(9491,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9489]) ).

cnf(9492,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9490]) ).

cnf(9493,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9491]) ).

cnf(9494,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9492]) ).

cnf(9495,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9493]) ).

cnf(9496,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9494]) ).

cnf(9497,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9495]) ).

cnf(9498,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9496]) ).

cnf(9499,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9497]) ).

cnf(9500,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9498]) ).

cnf(9501,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9499]) ).

cnf(9502,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,9500]) ).

cnf(9503,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,9501]) ).

cnf(9504,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9502]) ).

cnf(9505,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9503]) ).

cnf(9506,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9504]) ).

cnf(9507,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9505]) ).

cnf(9508,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9506]) ).

cnf(9509,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9507]) ).

cnf(9510,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9508]) ).

cnf(9511,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9509]) ).

cnf(9512,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9510]) ).

cnf(9513,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9511]) ).

cnf(9514,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9512]) ).

cnf(9515,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9513]) ).

cnf(9516,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9514]) ).

cnf(9517,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9515]) ).

cnf(9518,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,9516]) ).

cnf(9519,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,9517]) ).

cnf(9520,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9518]) ).

cnf(9521,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9519]) ).

cnf(9522,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9520]) ).

cnf(9523,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9521]) ).

cnf(9524,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9522]) ).

cnf(9525,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9523]) ).

cnf(9526,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9524]) ).

cnf(9527,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9525]) ).

cnf(9528,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9526]) ).

cnf(9529,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9527]) ).

cnf(9530,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9528]) ).

cnf(9531,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9529]) ).

cnf(9532,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9530]) ).

cnf(9533,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9531]) ).

cnf(9534,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,9532]) ).

cnf(9535,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,9533]) ).

cnf(9536,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9534]) ).

cnf(9537,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9535]) ).

cnf(9538,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9536]) ).

cnf(9539,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9537]) ).

cnf(9540,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9538]) ).

cnf(9541,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9539]) ).

cnf(9542,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9540]) ).

cnf(9543,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9541]) ).

cnf(9544,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9542]) ).

cnf(9545,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9543]) ).

cnf(9546,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9544]) ).

cnf(9547,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9545]) ).

cnf(9548,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9546]) ).

cnf(9549,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9547]) ).

cnf(9550,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,9548]) ).

cnf(9551,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,9549]) ).

cnf(9552,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9550]) ).

cnf(9553,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9551]) ).

cnf(9554,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9552]) ).

cnf(9555,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9553]) ).

cnf(9556,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9554]) ).

cnf(9557,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9555]) ).

cnf(9558,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9556]) ).

cnf(9559,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9557]) ).

cnf(9560,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9558]) ).

cnf(9561,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9559]) ).

cnf(9562,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9560]) ).

cnf(9563,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9561]) ).

cnf(9564,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9562]) ).

cnf(9565,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9563]) ).

cnf(9566,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,9564]) ).

cnf(9567,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,9565]) ).

cnf(9568,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9566]) ).

cnf(9569,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9567]) ).

cnf(9570,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9568]) ).

cnf(9571,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9569]) ).

cnf(9572,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9570]) ).

cnf(9573,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9571]) ).

cnf(9574,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9572]) ).

cnf(9575,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9573]) ).

cnf(9576,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9574]) ).

cnf(9577,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9575]) ).

cnf(9578,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9576]) ).

cnf(9579,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9577]) ).

cnf(9580,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9578]) ).

cnf(9581,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9579]) ).

cnf(9582,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,9580]) ).

cnf(9583,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,9581]) ).

cnf(9584,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9582]) ).

cnf(9585,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9583]) ).

cnf(9586,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9584]) ).

cnf(9587,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9585]) ).

cnf(9588,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9586]) ).

cnf(9589,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9587]) ).

cnf(9590,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9588]) ).

cnf(9591,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9589]) ).

cnf(9592,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9590]) ).

cnf(9593,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9591]) ).

cnf(9594,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9592]) ).

cnf(9595,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9593]) ).

cnf(9596,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9594]) ).

cnf(9597,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9595]) ).

cnf(9598,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,9596]) ).

cnf(9599,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,9597]) ).

cnf(9600,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9598]) ).

cnf(9601,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9599]) ).

cnf(9602,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9600]) ).

cnf(9603,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9601]) ).

cnf(9604,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9602]) ).

cnf(9605,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9603]) ).

cnf(9606,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9604]) ).

cnf(9607,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9605]) ).

cnf(9608,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9606]) ).

cnf(9609,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9607]) ).

cnf(9610,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9608]) ).

cnf(9611,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9609]) ).

cnf(9612,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9610]) ).

cnf(9613,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9611]) ).

cnf(9614,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,9612]) ).

cnf(9615,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,9613]) ).

cnf(9616,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9614]) ).

cnf(9617,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9615]) ).

cnf(9618,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9616]) ).

cnf(9619,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9617]) ).

cnf(9620,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9618]) ).

cnf(9621,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9619]) ).

cnf(9622,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9620]) ).

cnf(9623,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9621]) ).

cnf(9624,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9622]) ).

cnf(9625,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9623]) ).

cnf(9626,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9624]) ).

cnf(9627,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9625]) ).

cnf(9628,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9626]) ).

cnf(9629,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9627]) ).

cnf(9630,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,9628]) ).

cnf(9631,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,9629]) ).

cnf(9632,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9630]) ).

cnf(9633,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9631]) ).

cnf(9634,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9632]) ).

cnf(9635,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9633]) ).

cnf(9636,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9634]) ).

cnf(9637,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9635]) ).

cnf(9638,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9636]) ).

cnf(9639,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9637]) ).

cnf(9640,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9638]) ).

cnf(9641,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9639]) ).

cnf(9642,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9640]) ).

cnf(9643,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9641]) ).

cnf(9644,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9642]) ).

cnf(9645,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9643]) ).

cnf(9646,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,9644]) ).

cnf(9647,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,9645]) ).

cnf(9648,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9646]) ).

cnf(9649,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9647]) ).

cnf(9650,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9648]) ).

cnf(9651,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9649]) ).

cnf(9652,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9650]) ).

cnf(9653,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9651]) ).

cnf(9654,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9652]) ).

cnf(9655,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9653]) ).

cnf(9656,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9654]) ).

cnf(9657,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9655]) ).

cnf(9658,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9656]) ).

cnf(9659,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9657]) ).

cnf(9660,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9658]) ).

cnf(9661,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9659]) ).

cnf(9662,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,9660]) ).

cnf(9663,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,9661]) ).

cnf(9664,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9662]) ).

cnf(9665,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9663]) ).

cnf(9666,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9664]) ).

cnf(9667,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9665]) ).

cnf(9668,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9666]) ).

cnf(9669,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9667]) ).

cnf(9670,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9668]) ).

cnf(9671,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9669]) ).

cnf(9672,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9670]) ).

cnf(9673,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9671]) ).

cnf(9674,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9672]) ).

cnf(9675,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9673]) ).

cnf(9676,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9674]) ).

cnf(9677,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9675]) ).

cnf(9678,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,9676]) ).

cnf(9679,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,9677]) ).

cnf(9680,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9678]) ).

cnf(9681,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9679]) ).

cnf(9682,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9680]) ).

cnf(9683,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9681]) ).

cnf(9684,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9682]) ).

cnf(9685,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9683]) ).

cnf(9686,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9684]) ).

cnf(9687,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9685]) ).

cnf(9688,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9686]) ).

cnf(9689,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9687]) ).

cnf(9690,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9688]) ).

cnf(9691,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9689]) ).

cnf(9692,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9690]) ).

cnf(9693,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9691]) ).

cnf(9694,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,9692]) ).

cnf(9695,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,9693]) ).

cnf(9696,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9694]) ).

cnf(9697,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9695]) ).

cnf(9698,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9696]) ).

cnf(9699,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9697]) ).

cnf(9700,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9698]) ).

cnf(9701,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9699]) ).

cnf(9702,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9700]) ).

cnf(9703,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9701]) ).

cnf(9704,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9702]) ).

cnf(9705,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9703]) ).

cnf(9706,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9704]) ).

cnf(9707,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9705]) ).

cnf(9708,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9706]) ).

cnf(9709,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9707]) ).

cnf(9710,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,9708]) ).

cnf(9711,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,9709]) ).

cnf(9712,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9710]) ).

cnf(9713,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9711]) ).

cnf(9714,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9712]) ).

cnf(9715,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9713]) ).

cnf(9716,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9714]) ).

cnf(9717,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9715]) ).

cnf(9718,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9716]) ).

cnf(9719,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9717]) ).

cnf(9720,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9718]) ).

cnf(9721,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9719]) ).

cnf(9722,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9720]) ).

cnf(9723,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9721]) ).

cnf(9724,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9722]) ).

cnf(9725,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9723]) ).

cnf(9726,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,9724]) ).

cnf(9727,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,9725]) ).

cnf(9728,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9726]) ).

cnf(9729,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9727]) ).

cnf(9730,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9728]) ).

cnf(9731,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9729]) ).

cnf(9732,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9730]) ).

cnf(9733,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9731]) ).

cnf(9734,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9732]) ).

cnf(9735,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9733]) ).

cnf(9736,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9734]) ).

cnf(9737,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9735]) ).

cnf(9738,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9736]) ).

cnf(9739,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9737]) ).

cnf(9740,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9738]) ).

cnf(9741,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9739]) ).

cnf(9742,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,9740]) ).

cnf(9743,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,9741]) ).

cnf(9744,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9742]) ).

cnf(9745,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9743]) ).

cnf(9746,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9744]) ).

cnf(9747,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9745]) ).

cnf(9748,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9746]) ).

cnf(9749,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9747]) ).

cnf(9750,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9748]) ).

cnf(9751,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9749]) ).

cnf(9752,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9750]) ).

cnf(9753,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9751]) ).

cnf(9754,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9752]) ).

cnf(9755,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9753]) ).

cnf(9756,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9754]) ).

cnf(9757,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9755]) ).

cnf(9758,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[11,9756]) ).

cnf(9759,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[11,9757]) ).

cnf(9760,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9758]) ).

cnf(9761,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9759]) ).

cnf(9762,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9760]) ).

cnf(9763,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9761]) ).

cnf(9764,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9762]) ).

cnf(9765,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9763]) ).

cnf(9766,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9764]) ).

cnf(9767,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9765]) ).

cnf(9768,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9766]) ).

cnf(9769,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9767]) ).

cnf(9770,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9768]) ).

cnf(9771,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9769]) ).

cnf(9772,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9770]) ).

cnf(9773,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9771]) ).

cnf(9774,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,9772]) ).

cnf(9775,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,9773]) ).

cnf(9776,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9774]) ).

cnf(9777,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9775]) ).

cnf(9778,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9776]) ).

cnf(9779,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9777]) ).

cnf(9780,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9778]) ).

cnf(9781,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9779]) ).

cnf(9782,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9780]) ).

cnf(9783,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9781]) ).

cnf(9784,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9782]) ).

cnf(9785,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9783]) ).

cnf(9786,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9784]) ).

cnf(9787,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9785]) ).

cnf(9788,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9786]) ).

cnf(9789,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9787]) ).

cnf(9790,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,9788]) ).

cnf(9791,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,9789]) ).

cnf(9792,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9790]) ).

cnf(9793,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9791]) ).

cnf(9794,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9792]) ).

cnf(9795,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9793]) ).

cnf(9796,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9794]) ).

cnf(9797,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9795]) ).

cnf(9798,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9796]) ).

cnf(9799,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9797]) ).

cnf(9800,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9798]) ).

cnf(9801,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9799]) ).

cnf(9802,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9800]) ).

cnf(9803,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9801]) ).

cnf(9804,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9802]) ).

cnf(9805,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9803]) ).

cnf(9806,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,9804]) ).

cnf(9807,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,9805]) ).

cnf(9808,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9806]) ).

cnf(9809,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9807]) ).

cnf(9810,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9808]) ).

cnf(9811,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9809]) ).

cnf(9812,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9810]) ).

cnf(9813,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9811]) ).

cnf(9814,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9812]) ).

cnf(9815,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9813]) ).

cnf(9816,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9814]) ).

cnf(9817,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9815]) ).

cnf(9818,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9816]) ).

cnf(9819,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9817]) ).

cnf(9820,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9818]) ).

cnf(9821,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9819]) ).

cnf(9822,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,9820]) ).

cnf(9823,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,9821]) ).

cnf(9824,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9822]) ).

cnf(9825,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9823]) ).

cnf(9826,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9824]) ).

cnf(9827,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9825]) ).

cnf(9828,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9826]) ).

cnf(9829,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9827]) ).

cnf(9830,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9828]) ).

cnf(9831,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9829]) ).

cnf(9832,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9830]) ).

cnf(9833,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9831]) ).

cnf(9834,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9832]) ).

cnf(9835,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9833]) ).

cnf(9836,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9834]) ).

cnf(9837,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9835]) ).

cnf(9838,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,9836]) ).

cnf(9839,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,9837]) ).

cnf(9840,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9838]) ).

cnf(9841,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9839]) ).

cnf(9842,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9840]) ).

cnf(9843,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9841]) ).

cnf(9844,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9842]) ).

cnf(9845,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9843]) ).

cnf(9846,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9844]) ).

cnf(9847,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9845]) ).

cnf(9848,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9846]) ).

cnf(9849,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9847]) ).

cnf(9850,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9848]) ).

cnf(9851,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9849]) ).

cnf(9852,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9850]) ).

cnf(9853,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9851]) ).

cnf(9854,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,9852]) ).

cnf(9855,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,9853]) ).

cnf(9856,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9854]) ).

cnf(9857,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9855]) ).

cnf(9858,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9856]) ).

cnf(9859,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9857]) ).

cnf(9860,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9858]) ).

cnf(9861,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9859]) ).

cnf(9862,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9860]) ).

cnf(9863,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9861]) ).

cnf(9864,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9862]) ).

cnf(9865,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9863]) ).

cnf(9866,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9864]) ).

cnf(9867,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9865]) ).

cnf(9868,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9866]) ).

cnf(9869,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9867]) ).

cnf(9870,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,9868]) ).

cnf(9871,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,9869]) ).

cnf(9872,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9870]) ).

cnf(9873,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9871]) ).

cnf(9874,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9872]) ).

cnf(9875,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9873]) ).

cnf(9876,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9874]) ).

cnf(9877,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9875]) ).

cnf(9878,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9876]) ).

cnf(9879,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9877]) ).

cnf(9880,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9878]) ).

cnf(9881,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9879]) ).

cnf(9882,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9880]) ).

cnf(9883,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9881]) ).

cnf(9884,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9882]) ).

cnf(9885,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9883]) ).

cnf(9886,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,9884]) ).

cnf(9887,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,9885]) ).

cnf(9888,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9886]) ).

cnf(9889,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9887]) ).

cnf(9890,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9888]) ).

cnf(9891,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9889]) ).

cnf(9892,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9890]) ).

cnf(9893,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9891]) ).

cnf(9894,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9892]) ).

cnf(9895,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9893]) ).

cnf(9896,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9894]) ).

cnf(9897,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9895]) ).

cnf(9898,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9896]) ).

cnf(9899,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9897]) ).

cnf(9900,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9898]) ).

cnf(9901,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9899]) ).

cnf(9902,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,9900]) ).

cnf(9903,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,9901]) ).

cnf(9904,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9902]) ).

cnf(9905,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9903]) ).

cnf(9906,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9904]) ).

cnf(9907,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9905]) ).

cnf(9908,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9906]) ).

cnf(9909,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9907]) ).

cnf(9910,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9908]) ).

cnf(9911,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9909]) ).

cnf(9912,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9910]) ).

cnf(9913,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9911]) ).

cnf(9914,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9912]) ).

cnf(9915,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9913]) ).

cnf(9916,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9914]) ).

cnf(9917,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9915]) ).

cnf(9918,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,9916]) ).

cnf(9919,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,9917]) ).

cnf(9920,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9918]) ).

cnf(9921,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9919]) ).

cnf(9922,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9920]) ).

cnf(9923,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9921]) ).

cnf(9924,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9922]) ).

cnf(9925,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9923]) ).

cnf(9926,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9924]) ).

cnf(9927,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9925]) ).

cnf(9928,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9926]) ).

cnf(9929,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9927]) ).

cnf(9930,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9928]) ).

cnf(9931,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9929]) ).

cnf(9932,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9930]) ).

cnf(9933,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9931]) ).

cnf(9934,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,9932]) ).

cnf(9935,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,9933]) ).

cnf(9936,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9934]) ).

cnf(9937,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9935]) ).

cnf(9938,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9936]) ).

cnf(9939,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9937]) ).

cnf(9940,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9938]) ).

cnf(9941,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9939]) ).

cnf(9942,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9940]) ).

cnf(9943,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9941]) ).

cnf(9944,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9942]) ).

cnf(9945,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9943]) ).

cnf(9946,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9944]) ).

cnf(9947,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9945]) ).

cnf(9948,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9946]) ).

cnf(9949,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9947]) ).

cnf(9950,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,9948]) ).

cnf(9951,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,9949]) ).

cnf(9952,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9950]) ).

cnf(9953,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9951]) ).

cnf(9954,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9952]) ).

cnf(9955,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9953]) ).

cnf(9956,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9954]) ).

cnf(9957,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9955]) ).

cnf(9958,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9956]) ).

cnf(9959,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9957]) ).

cnf(9960,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9958]) ).

cnf(9961,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9959]) ).

cnf(9962,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9960]) ).

cnf(9963,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9961]) ).

cnf(9964,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9962]) ).

cnf(9965,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9963]) ).

cnf(9966,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,9964]) ).

cnf(9967,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,9965]) ).

cnf(9968,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9966]) ).

cnf(9969,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9967]) ).

cnf(9970,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9968]) ).

cnf(9971,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9969]) ).

cnf(9972,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9970]) ).

cnf(9973,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9971]) ).

cnf(9974,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9972]) ).

cnf(9975,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9973]) ).

cnf(9976,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9974]) ).

cnf(9977,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9975]) ).

cnf(9978,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9976]) ).

cnf(9979,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9977]) ).

cnf(9980,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9978]) ).

cnf(9981,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9979]) ).

cnf(9982,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,9980]) ).

cnf(9983,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,9981]) ).

cnf(9984,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9982]) ).

cnf(9985,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9983]) ).

cnf(9986,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9984]) ).

cnf(9987,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9985]) ).

cnf(9988,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9986]) ).

cnf(9989,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9987]) ).

cnf(9990,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,9988]) ).

cnf(9991,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,9989]) ).

cnf(9992,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9990]) ).

cnf(9993,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9991]) ).

cnf(9994,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,9992]) ).

cnf(9995,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,9993]) ).

cnf(9996,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9994]) ).

cnf(9997,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9995]) ).

cnf(9998,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,9996]) ).

cnf(9999,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,9997]) ).

cnf(10000,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,9998]) ).

cnf(10001,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,9999]) ).

cnf(10002,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10000]) ).

cnf(10003,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10001]) ).

cnf(10004,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10002]) ).

cnf(10005,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10003]) ).

cnf(10006,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10004]) ).

cnf(10007,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10005]) ).

cnf(10008,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10006]) ).

cnf(10009,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10007]) ).

cnf(10010,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10008]) ).

cnf(10011,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10009]) ).

cnf(10012,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10010]) ).

cnf(10013,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10011]) ).

cnf(10014,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,10012]) ).

cnf(10015,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,10013]) ).

cnf(10016,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10014]) ).

cnf(10017,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10015]) ).

cnf(10018,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10016]) ).

cnf(10019,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10017]) ).

cnf(10020,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10018]) ).

cnf(10021,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10019]) ).

cnf(10022,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10020]) ).

cnf(10023,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10021]) ).

cnf(10024,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10022]) ).

cnf(10025,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10023]) ).

cnf(10026,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10024]) ).

cnf(10027,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10025]) ).

cnf(10028,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10026]) ).

cnf(10029,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10027]) ).

cnf(10030,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,10028]) ).

cnf(10031,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,10029]) ).

cnf(10032,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10030]) ).

cnf(10033,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10031]) ).

cnf(10034,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10032]) ).

cnf(10035,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10033]) ).

cnf(10036,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10034]) ).

cnf(10037,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10035]) ).

cnf(10038,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10036]) ).

cnf(10039,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10037]) ).

cnf(10040,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10038]) ).

cnf(10041,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10039]) ).

cnf(10042,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10040]) ).

cnf(10043,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10041]) ).

cnf(10044,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10042]) ).

cnf(10045,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10043]) ).

cnf(10046,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,10044]) ).

cnf(10047,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,10045]) ).

cnf(10048,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10046]) ).

cnf(10049,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10047]) ).

cnf(10050,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10048]) ).

cnf(10051,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10049]) ).

cnf(10052,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10050]) ).

cnf(10053,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10051]) ).

cnf(10054,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10052]) ).

cnf(10055,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10053]) ).

cnf(10056,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10054]) ).

cnf(10057,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10055]) ).

cnf(10058,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10056]) ).

cnf(10059,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10057]) ).

cnf(10060,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10058]) ).

cnf(10061,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10059]) ).

cnf(10062,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,10060]) ).

cnf(10063,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,10061]) ).

cnf(10064,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10062]) ).

cnf(10065,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10063]) ).

cnf(10066,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10064]) ).

cnf(10067,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10065]) ).

cnf(10068,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10066]) ).

cnf(10069,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10067]) ).

cnf(10070,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10068]) ).

cnf(10071,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10069]) ).

cnf(10072,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10070]) ).

cnf(10073,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10071]) ).

cnf(10074,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10072]) ).

cnf(10075,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10073]) ).

cnf(10076,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10074]) ).

cnf(10077,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10075]) ).

cnf(10078,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,10076]) ).

cnf(10079,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,10077]) ).

cnf(10080,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10078]) ).

cnf(10081,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10079]) ).

cnf(10082,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10080]) ).

cnf(10083,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10081]) ).

cnf(10084,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10082]) ).

cnf(10085,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10083]) ).

cnf(10086,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10084]) ).

cnf(10087,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10085]) ).

cnf(10088,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10086]) ).

cnf(10089,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10087]) ).

cnf(10090,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10088]) ).

cnf(10091,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10089]) ).

cnf(10092,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10090]) ).

cnf(10093,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10091]) ).

cnf(10094,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,10092]) ).

cnf(10095,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,10093]) ).

cnf(10096,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10094]) ).

cnf(10097,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10095]) ).

cnf(10098,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10096]) ).

cnf(10099,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10097]) ).

cnf(10100,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10098]) ).

cnf(10101,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10099]) ).

cnf(10102,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10100]) ).

cnf(10103,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10101]) ).

cnf(10104,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10102]) ).

cnf(10105,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10103]) ).

cnf(10106,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10104]) ).

cnf(10107,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10105]) ).

cnf(10108,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10106]) ).

cnf(10109,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10107]) ).

cnf(10110,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,10108]) ).

cnf(10111,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,10109]) ).

cnf(10112,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10110]) ).

cnf(10113,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10111]) ).

cnf(10114,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10112]) ).

cnf(10115,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10113]) ).

cnf(10116,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10114]) ).

cnf(10117,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10115]) ).

cnf(10118,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10116]) ).

cnf(10119,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10117]) ).

cnf(10120,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10118]) ).

cnf(10121,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10119]) ).

cnf(10122,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10120]) ).

cnf(10123,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10121]) ).

cnf(10124,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10122]) ).

cnf(10125,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10123]) ).

cnf(10126,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,10124]) ).

cnf(10127,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,10125]) ).

cnf(10128,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10126]) ).

cnf(10129,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10127]) ).

cnf(10130,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10128]) ).

cnf(10131,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10129]) ).

cnf(10132,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10130]) ).

cnf(10133,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10131]) ).

cnf(10134,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10132]) ).

cnf(10135,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10133]) ).

cnf(10136,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10134]) ).

cnf(10137,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10135]) ).

cnf(10138,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10136]) ).

cnf(10139,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10137]) ).

cnf(10140,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10138]) ).

cnf(10141,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10139]) ).

cnf(10142,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,10140]) ).

cnf(10143,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,10141]) ).

cnf(10144,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10142]) ).

cnf(10145,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10143]) ).

cnf(10146,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10144]) ).

cnf(10147,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10145]) ).

cnf(10148,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10146]) ).

cnf(10149,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10147]) ).

cnf(10150,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10148]) ).

cnf(10151,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10149]) ).

cnf(10152,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10150]) ).

cnf(10153,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10151]) ).

cnf(10154,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10152]) ).

cnf(10155,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10153]) ).

cnf(10156,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10154]) ).

cnf(10157,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10155]) ).

cnf(10158,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,10156]) ).

cnf(10159,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,10157]) ).

cnf(10160,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10158]) ).

cnf(10161,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10159]) ).

cnf(10162,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10160]) ).

cnf(10163,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10161]) ).

cnf(10164,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10162]) ).

cnf(10165,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10163]) ).

cnf(10166,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10164]) ).

cnf(10167,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10165]) ).

cnf(10168,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10166]) ).

cnf(10169,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10167]) ).

cnf(10170,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10168]) ).

cnf(10171,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10169]) ).

cnf(10172,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10170]) ).

cnf(10173,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10171]) ).

cnf(10174,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,10172]) ).

cnf(10175,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,10173]) ).

cnf(10176,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10174]) ).

cnf(10177,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10175]) ).

cnf(10178,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10176]) ).

cnf(10179,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10177]) ).

cnf(10180,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10178]) ).

cnf(10181,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10179]) ).

cnf(10182,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10180]) ).

cnf(10183,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10181]) ).

cnf(10184,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10182]) ).

cnf(10185,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10183]) ).

cnf(10186,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10184]) ).

cnf(10187,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10185]) ).

cnf(10188,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10186]) ).

cnf(10189,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10187]) ).

cnf(10190,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,10188]) ).

cnf(10191,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,10189]) ).

cnf(10192,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10190]) ).

cnf(10193,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10191]) ).

cnf(10194,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10192]) ).

cnf(10195,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10193]) ).

cnf(10196,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10194]) ).

cnf(10197,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10195]) ).

cnf(10198,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10196]) ).

cnf(10199,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10197]) ).

cnf(10200,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10198]) ).

cnf(10201,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10199]) ).

cnf(10202,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10200]) ).

cnf(10203,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10201]) ).

cnf(10204,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10202]) ).

cnf(10205,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10203]) ).

cnf(10206,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,10204]) ).

cnf(10207,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,10205]) ).

cnf(10208,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10206]) ).

cnf(10209,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10207]) ).

cnf(10210,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10208]) ).

cnf(10211,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10209]) ).

cnf(10212,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10210]) ).

cnf(10213,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10211]) ).

cnf(10214,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10212]) ).

cnf(10215,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10213]) ).

cnf(10216,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10214]) ).

cnf(10217,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10215]) ).

cnf(10218,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10216]) ).

cnf(10219,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10217]) ).

cnf(10220,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10218]) ).

cnf(10221,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10219]) ).

cnf(10222,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,10220]) ).

cnf(10223,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,10221]) ).

cnf(10224,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10222]) ).

cnf(10225,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10223]) ).

cnf(10226,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10224]) ).

cnf(10227,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10225]) ).

cnf(10228,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10226]) ).

cnf(10229,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10227]) ).

cnf(10230,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10228]) ).

cnf(10231,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10229]) ).

cnf(10232,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10230]) ).

cnf(10233,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10231]) ).

cnf(10234,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10232]) ).

cnf(10235,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10233]) ).

cnf(10236,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10234]) ).

cnf(10237,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10235]) ).

cnf(10238,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,10236]) ).

cnf(10239,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,10237]) ).

cnf(10240,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10238]) ).

cnf(10241,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10239]) ).

cnf(10242,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10240]) ).

cnf(10243,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10241]) ).

cnf(10244,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10242]) ).

cnf(10245,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10243]) ).

cnf(10246,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10244]) ).

cnf(10247,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10245]) ).

cnf(10248,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10246]) ).

cnf(10249,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10247]) ).

cnf(10250,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10248]) ).

cnf(10251,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10249]) ).

cnf(10252,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10250]) ).

cnf(10253,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10251]) ).

cnf(10254,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,10252]) ).

cnf(10255,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,10253]) ).

cnf(10256,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10254]) ).

cnf(10257,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10255]) ).

cnf(10258,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10256]) ).

cnf(10259,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10257]) ).

cnf(10260,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10258]) ).

cnf(10261,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10259]) ).

cnf(10262,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10260]) ).

cnf(10263,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10261]) ).

cnf(10264,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10262]) ).

cnf(10265,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10263]) ).

cnf(10266,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10264]) ).

cnf(10267,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10265]) ).

cnf(10268,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10266]) ).

cnf(10269,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10267]) ).

cnf(10270,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[13,10268]) ).

cnf(10271,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[13,10269]) ).

cnf(10272,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10270]) ).

cnf(10273,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10271]) ).

cnf(10274,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10272]) ).

cnf(10275,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10273]) ).

cnf(10276,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10274]) ).

cnf(10277,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10275]) ).

cnf(10278,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10276]) ).

cnf(10279,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10277]) ).

cnf(10280,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10278]) ).

cnf(10281,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10279]) ).

cnf(10282,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10280]) ).

cnf(10283,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10281]) ).

cnf(10284,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10282]) ).

cnf(10285,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10283]) ).

cnf(10286,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,10284]) ).

cnf(10287,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,10285]) ).

cnf(10288,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10286]) ).

cnf(10289,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10287]) ).

cnf(10290,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10288]) ).

cnf(10291,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10289]) ).

cnf(10292,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10290]) ).

cnf(10293,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10291]) ).

cnf(10294,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10292]) ).

cnf(10295,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10293]) ).

cnf(10296,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10294]) ).

cnf(10297,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10295]) ).

cnf(10298,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10296]) ).

cnf(10299,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10297]) ).

cnf(10300,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10298]) ).

cnf(10301,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10299]) ).

cnf(10302,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,10300]) ).

cnf(10303,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,10301]) ).

cnf(10304,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10302]) ).

cnf(10305,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10303]) ).

cnf(10306,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10304]) ).

cnf(10307,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10305]) ).

cnf(10308,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10306]) ).

cnf(10309,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10307]) ).

cnf(10310,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10308]) ).

cnf(10311,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10309]) ).

cnf(10312,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10310]) ).

cnf(10313,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10311]) ).

cnf(10314,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10312]) ).

cnf(10315,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10313]) ).

cnf(10316,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10314]) ).

cnf(10317,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10315]) ).

cnf(10318,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,10316]) ).

cnf(10319,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,10317]) ).

cnf(10320,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10318]) ).

cnf(10321,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10319]) ).

cnf(10322,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10320]) ).

cnf(10323,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10321]) ).

cnf(10324,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10322]) ).

cnf(10325,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10323]) ).

cnf(10326,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10324]) ).

cnf(10327,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10325]) ).

cnf(10328,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10326]) ).

cnf(10329,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10327]) ).

cnf(10330,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10328]) ).

cnf(10331,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10329]) ).

cnf(10332,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10330]) ).

cnf(10333,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10331]) ).

cnf(10334,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,10332]) ).

cnf(10335,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,10333]) ).

cnf(10336,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10334]) ).

cnf(10337,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10335]) ).

cnf(10338,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10336]) ).

cnf(10339,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10337]) ).

cnf(10340,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10338]) ).

cnf(10341,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10339]) ).

cnf(10342,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10340]) ).

cnf(10343,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10341]) ).

cnf(10344,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10342]) ).

cnf(10345,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10343]) ).

cnf(10346,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10344]) ).

cnf(10347,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10345]) ).

cnf(10348,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10346]) ).

cnf(10349,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10347]) ).

cnf(10350,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,10348]) ).

cnf(10351,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,10349]) ).

cnf(10352,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10350]) ).

cnf(10353,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10351]) ).

cnf(10354,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10352]) ).

cnf(10355,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10353]) ).

cnf(10356,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10354]) ).

cnf(10357,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10355]) ).

cnf(10358,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10356]) ).

cnf(10359,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10357]) ).

cnf(10360,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10358]) ).

cnf(10361,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10359]) ).

cnf(10362,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10360]) ).

cnf(10363,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10361]) ).

cnf(10364,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10362]) ).

cnf(10365,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10363]) ).

cnf(10366,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,10364]) ).

cnf(10367,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,10365]) ).

cnf(10368,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10366]) ).

cnf(10369,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10367]) ).

cnf(10370,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10368]) ).

cnf(10371,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10369]) ).

cnf(10372,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10370]) ).

cnf(10373,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10371]) ).

cnf(10374,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10372]) ).

cnf(10375,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10373]) ).

cnf(10376,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10374]) ).

cnf(10377,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10375]) ).

cnf(10378,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10376]) ).

cnf(10379,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10377]) ).

cnf(10380,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10378]) ).

cnf(10381,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10379]) ).

cnf(10382,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,10380]) ).

cnf(10383,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,10381]) ).

cnf(10384,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10382]) ).

cnf(10385,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10383]) ).

cnf(10386,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10384]) ).

cnf(10387,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10385]) ).

cnf(10388,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10386]) ).

cnf(10389,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10387]) ).

cnf(10390,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10388]) ).

cnf(10391,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10389]) ).

cnf(10392,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10390]) ).

cnf(10393,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10391]) ).

cnf(10394,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10392]) ).

cnf(10395,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10393]) ).

cnf(10396,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10394]) ).

cnf(10397,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10395]) ).

cnf(10398,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,10396]) ).

cnf(10399,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,10397]) ).

cnf(10400,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10398]) ).

cnf(10401,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10399]) ).

cnf(10402,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10400]) ).

cnf(10403,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10401]) ).

cnf(10404,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10402]) ).

cnf(10405,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10403]) ).

cnf(10406,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10404]) ).

cnf(10407,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10405]) ).

cnf(10408,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10406]) ).

cnf(10409,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10407]) ).

cnf(10410,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10408]) ).

cnf(10411,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10409]) ).

cnf(10412,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10410]) ).

cnf(10413,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10411]) ).

cnf(10414,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,10412]) ).

cnf(10415,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,10413]) ).

cnf(10416,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10414]) ).

cnf(10417,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10415]) ).

cnf(10418,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10416]) ).

cnf(10419,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10417]) ).

cnf(10420,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10418]) ).

cnf(10421,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10419]) ).

cnf(10422,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10420]) ).

cnf(10423,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10421]) ).

cnf(10424,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10422]) ).

cnf(10425,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10423]) ).

cnf(10426,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10424]) ).

cnf(10427,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10425]) ).

cnf(10428,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10426]) ).

cnf(10429,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10427]) ).

cnf(10430,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,10428]) ).

cnf(10431,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,10429]) ).

cnf(10432,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10430]) ).

cnf(10433,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10431]) ).

cnf(10434,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10432]) ).

cnf(10435,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10433]) ).

cnf(10436,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10434]) ).

cnf(10437,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10435]) ).

cnf(10438,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10436]) ).

cnf(10439,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10437]) ).

cnf(10440,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10438]) ).

cnf(10441,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10439]) ).

cnf(10442,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10440]) ).

cnf(10443,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10441]) ).

cnf(10444,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10442]) ).

cnf(10445,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10443]) ).

cnf(10446,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,10444]) ).

cnf(10447,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,10445]) ).

cnf(10448,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10446]) ).

cnf(10449,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10447]) ).

cnf(10450,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10448]) ).

cnf(10451,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10449]) ).

cnf(10452,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10450]) ).

cnf(10453,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10451]) ).

cnf(10454,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10452]) ).

cnf(10455,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10453]) ).

cnf(10456,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10454]) ).

cnf(10457,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10455]) ).

cnf(10458,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10456]) ).

cnf(10459,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10457]) ).

cnf(10460,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10458]) ).

cnf(10461,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10459]) ).

cnf(10462,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,10460]) ).

cnf(10463,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,10461]) ).

cnf(10464,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10462]) ).

cnf(10465,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10463]) ).

cnf(10466,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10464]) ).

cnf(10467,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10465]) ).

cnf(10468,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10466]) ).

cnf(10469,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10467]) ).

cnf(10470,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10468]) ).

cnf(10471,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10469]) ).

cnf(10472,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10470]) ).

cnf(10473,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10471]) ).

cnf(10474,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10472]) ).

cnf(10475,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10473]) ).

cnf(10476,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10474]) ).

cnf(10477,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10475]) ).

cnf(10478,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,10476]) ).

cnf(10479,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,10477]) ).

cnf(10480,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10478]) ).

cnf(10481,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10479]) ).

cnf(10482,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10480]) ).

cnf(10483,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10481]) ).

cnf(10484,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10482]) ).

cnf(10485,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10483]) ).

cnf(10486,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10484]) ).

cnf(10487,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10485]) ).

cnf(10488,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10486]) ).

cnf(10489,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10487]) ).

cnf(10490,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10488]) ).

cnf(10491,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10489]) ).

cnf(10492,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10490]) ).

cnf(10493,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10491]) ).

cnf(10494,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,10492]) ).

cnf(10495,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,10493]) ).

cnf(10496,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10494]) ).

cnf(10497,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10495]) ).

cnf(10498,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10496]) ).

cnf(10499,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10497]) ).

cnf(10500,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10498]) ).

cnf(10501,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10499]) ).

cnf(10502,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10500]) ).

cnf(10503,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10501]) ).

cnf(10504,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10502]) ).

cnf(10505,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10503]) ).

cnf(10506,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10504]) ).

cnf(10507,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10505]) ).

cnf(10508,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10506]) ).

cnf(10509,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10507]) ).

cnf(10510,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,10508]) ).

cnf(10511,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,10509]) ).

cnf(10512,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10510]) ).

cnf(10513,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10511]) ).

cnf(10514,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10512]) ).

cnf(10515,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10513]) ).

cnf(10516,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10514]) ).

cnf(10517,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10515]) ).

cnf(10518,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10516]) ).

cnf(10519,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10517]) ).

cnf(10520,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10518]) ).

cnf(10521,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10519]) ).

cnf(10522,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10520]) ).

cnf(10523,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10521]) ).

cnf(10524,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10522]) ).

cnf(10525,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10523]) ).

cnf(10526,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,10524]) ).

cnf(10527,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,10525]) ).

cnf(10528,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10526]) ).

cnf(10529,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10527]) ).

cnf(10530,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10528]) ).

cnf(10531,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10529]) ).

cnf(10532,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10530]) ).

cnf(10533,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10531]) ).

cnf(10534,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10532]) ).

cnf(10535,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10533]) ).

cnf(10536,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10534]) ).

cnf(10537,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10535]) ).

cnf(10538,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10536]) ).

cnf(10539,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10537]) ).

cnf(10540,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10538]) ).

cnf(10541,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10539]) ).

cnf(10542,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,10540]) ).

cnf(10543,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,10541]) ).

cnf(10544,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10542]) ).

cnf(10545,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10543]) ).

cnf(10546,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10544]) ).

cnf(10547,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10545]) ).

cnf(10548,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10546]) ).

cnf(10549,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10547]) ).

cnf(10550,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10548]) ).

cnf(10551,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10549]) ).

cnf(10552,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10550]) ).

cnf(10553,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10551]) ).

cnf(10554,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10552]) ).

cnf(10555,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10553]) ).

cnf(10556,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10554]) ).

cnf(10557,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10555]) ).

cnf(10558,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,10556]) ).

cnf(10559,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,10557]) ).

cnf(10560,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10558]) ).

cnf(10561,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10559]) ).

cnf(10562,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10560]) ).

cnf(10563,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10561]) ).

cnf(10564,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10562]) ).

cnf(10565,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10563]) ).

cnf(10566,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10564]) ).

cnf(10567,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10565]) ).

cnf(10568,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10566]) ).

cnf(10569,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10567]) ).

cnf(10570,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10568]) ).

cnf(10571,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10569]) ).

cnf(10572,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10570]) ).

cnf(10573,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10571]) ).

cnf(10574,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,10572]) ).

cnf(10575,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,10573]) ).

cnf(10576,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10574]) ).

cnf(10577,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10575]) ).

cnf(10578,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10576]) ).

cnf(10579,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10577]) ).

cnf(10580,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10578]) ).

cnf(10581,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10579]) ).

cnf(10582,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10580]) ).

cnf(10583,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10581]) ).

cnf(10584,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10582]) ).

cnf(10585,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10583]) ).

cnf(10586,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10584]) ).

cnf(10587,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10585]) ).

cnf(10588,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10586]) ).

cnf(10589,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10587]) ).

cnf(10590,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,10588]) ).

cnf(10591,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,10589]) ).

cnf(10592,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10590]) ).

cnf(10593,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10591]) ).

cnf(10594,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10592]) ).

cnf(10595,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10593]) ).

cnf(10596,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10594]) ).

cnf(10597,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10595]) ).

cnf(10598,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10596]) ).

cnf(10599,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10597]) ).

cnf(10600,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10598]) ).

cnf(10601,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10599]) ).

cnf(10602,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10600]) ).

cnf(10603,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10601]) ).

cnf(10604,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10602]) ).

cnf(10605,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10603]) ).

cnf(10606,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,10604]) ).

cnf(10607,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,10605]) ).

cnf(10608,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10606]) ).

cnf(10609,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10607]) ).

cnf(10610,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10608]) ).

cnf(10611,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10609]) ).

cnf(10612,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10610]) ).

cnf(10613,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10611]) ).

cnf(10614,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10612]) ).

cnf(10615,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10613]) ).

cnf(10616,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10614]) ).

cnf(10617,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10615]) ).

cnf(10618,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10616]) ).

cnf(10619,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10617]) ).

cnf(10620,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10618]) ).

cnf(10621,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10619]) ).

cnf(10622,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,10620]) ).

cnf(10623,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,10621]) ).

cnf(10624,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10622]) ).

cnf(10625,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10623]) ).

cnf(10626,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10624]) ).

cnf(10627,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10625]) ).

cnf(10628,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10626]) ).

cnf(10629,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10627]) ).

cnf(10630,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10628]) ).

cnf(10631,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10629]) ).

cnf(10632,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10630]) ).

cnf(10633,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10631]) ).

cnf(10634,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10632]) ).

cnf(10635,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10633]) ).

cnf(10636,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10634]) ).

cnf(10637,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10635]) ).

cnf(10638,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,10636]) ).

cnf(10639,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,10637]) ).

cnf(10640,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10638]) ).

cnf(10641,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10639]) ).

cnf(10642,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10640]) ).

cnf(10643,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10641]) ).

cnf(10644,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10642]) ).

cnf(10645,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10643]) ).

cnf(10646,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10644]) ).

cnf(10647,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10645]) ).

cnf(10648,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10646]) ).

cnf(10649,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10647]) ).

cnf(10650,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10648]) ).

cnf(10651,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10649]) ).

cnf(10652,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10650]) ).

cnf(10653,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10651]) ).

cnf(10654,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,10652]) ).

cnf(10655,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,10653]) ).

cnf(10656,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10654]) ).

cnf(10657,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10655]) ).

cnf(10658,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10656]) ).

cnf(10659,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10657]) ).

cnf(10660,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10658]) ).

cnf(10661,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10659]) ).

cnf(10662,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10660]) ).

cnf(10663,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10661]) ).

cnf(10664,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10662]) ).

cnf(10665,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10663]) ).

cnf(10666,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10664]) ).

cnf(10667,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10665]) ).

cnf(10668,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10666]) ).

cnf(10669,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10667]) ).

cnf(10670,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,10668]) ).

cnf(10671,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,10669]) ).

cnf(10672,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10670]) ).

cnf(10673,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10671]) ).

cnf(10674,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10672]) ).

cnf(10675,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10673]) ).

cnf(10676,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10674]) ).

cnf(10677,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10675]) ).

cnf(10678,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10676]) ).

cnf(10679,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10677]) ).

cnf(10680,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10678]) ).

cnf(10681,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10679]) ).

cnf(10682,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10680]) ).

cnf(10683,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10681]) ).

cnf(10684,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10682]) ).

cnf(10685,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10683]) ).

cnf(10686,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,10684]) ).

cnf(10687,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,10685]) ).

cnf(10688,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10686]) ).

cnf(10689,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10687]) ).

cnf(10690,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10688]) ).

cnf(10691,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10689]) ).

cnf(10692,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10690]) ).

cnf(10693,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10691]) ).

cnf(10694,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10692]) ).

cnf(10695,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10693]) ).

cnf(10696,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10694]) ).

cnf(10697,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10695]) ).

cnf(10698,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10696]) ).

cnf(10699,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10697]) ).

cnf(10700,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10698]) ).

cnf(10701,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10699]) ).

cnf(10702,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,10700]) ).

cnf(10703,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,10701]) ).

cnf(10704,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10702]) ).

cnf(10705,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10703]) ).

cnf(10706,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10704]) ).

cnf(10707,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10705]) ).

cnf(10708,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10706]) ).

cnf(10709,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10707]) ).

cnf(10710,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10708]) ).

cnf(10711,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10709]) ).

cnf(10712,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10710]) ).

cnf(10713,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10711]) ).

cnf(10714,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10712]) ).

cnf(10715,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10713]) ).

cnf(10716,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10714]) ).

cnf(10717,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10715]) ).

cnf(10718,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,10716]) ).

cnf(10719,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,10717]) ).

cnf(10720,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10718]) ).

cnf(10721,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10719]) ).

cnf(10722,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10720]) ).

cnf(10723,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10721]) ).

cnf(10724,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10722]) ).

cnf(10725,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10723]) ).

cnf(10726,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10724]) ).

cnf(10727,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10725]) ).

cnf(10728,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10726]) ).

cnf(10729,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10727]) ).

cnf(10730,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10728]) ).

cnf(10731,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10729]) ).

cnf(10732,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10730]) ).

cnf(10733,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10731]) ).

cnf(10734,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,10732]) ).

cnf(10735,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,10733]) ).

cnf(10736,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10734]) ).

cnf(10737,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10735]) ).

cnf(10738,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10736]) ).

cnf(10739,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10737]) ).

cnf(10740,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10738]) ).

cnf(10741,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10739]) ).

cnf(10742,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10740]) ).

cnf(10743,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10741]) ).

cnf(10744,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10742]) ).

cnf(10745,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10743]) ).

cnf(10746,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10744]) ).

cnf(10747,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10745]) ).

cnf(10748,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10746]) ).

cnf(10749,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10747]) ).

cnf(10750,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,10748]) ).

cnf(10751,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,10749]) ).

cnf(10752,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10750]) ).

cnf(10753,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10751]) ).

cnf(10754,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10752]) ).

cnf(10755,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10753]) ).

cnf(10756,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10754]) ).

cnf(10757,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10755]) ).

cnf(10758,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10756]) ).

cnf(10759,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10757]) ).

cnf(10760,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10758]) ).

cnf(10761,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10759]) ).

cnf(10762,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10760]) ).

cnf(10763,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10761]) ).

cnf(10764,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10762]) ).

cnf(10765,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10763]) ).

cnf(10766,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,10764]) ).

cnf(10767,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,10765]) ).

cnf(10768,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10766]) ).

cnf(10769,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10767]) ).

cnf(10770,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10768]) ).

cnf(10771,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10769]) ).

cnf(10772,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10770]) ).

cnf(10773,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10771]) ).

cnf(10774,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10772]) ).

cnf(10775,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10773]) ).

cnf(10776,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10774]) ).

cnf(10777,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10775]) ).

cnf(10778,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10776]) ).

cnf(10779,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10777]) ).

cnf(10780,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10778]) ).

cnf(10781,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10779]) ).

cnf(10782,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[11,10780]) ).

cnf(10783,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[11,10781]) ).

cnf(10784,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10782]) ).

cnf(10785,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10783]) ).

cnf(10786,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10784]) ).

cnf(10787,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10785]) ).

cnf(10788,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10786]) ).

cnf(10789,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10787]) ).

cnf(10790,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10788]) ).

cnf(10791,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10789]) ).

cnf(10792,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10790]) ).

cnf(10793,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10791]) ).

cnf(10794,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10792]) ).

cnf(10795,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10793]) ).

cnf(10796,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10794]) ).

cnf(10797,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10795]) ).

cnf(10798,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,10796]) ).

cnf(10799,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,10797]) ).

cnf(10800,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10798]) ).

cnf(10801,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10799]) ).

cnf(10802,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10800]) ).

cnf(10803,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10801]) ).

cnf(10804,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10802]) ).

cnf(10805,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10803]) ).

cnf(10806,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10804]) ).

cnf(10807,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10805]) ).

cnf(10808,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10806]) ).

cnf(10809,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10807]) ).

cnf(10810,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10808]) ).

cnf(10811,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10809]) ).

cnf(10812,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10810]) ).

cnf(10813,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10811]) ).

cnf(10814,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,10812]) ).

cnf(10815,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,10813]) ).

cnf(10816,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10814]) ).

cnf(10817,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10815]) ).

cnf(10818,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10816]) ).

cnf(10819,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10817]) ).

cnf(10820,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10818]) ).

cnf(10821,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10819]) ).

cnf(10822,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10820]) ).

cnf(10823,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10821]) ).

cnf(10824,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10822]) ).

cnf(10825,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10823]) ).

cnf(10826,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10824]) ).

cnf(10827,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10825]) ).

cnf(10828,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10826]) ).

cnf(10829,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10827]) ).

cnf(10830,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,10828]) ).

cnf(10831,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,10829]) ).

cnf(10832,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10830]) ).

cnf(10833,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10831]) ).

cnf(10834,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10832]) ).

cnf(10835,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10833]) ).

cnf(10836,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10834]) ).

cnf(10837,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10835]) ).

cnf(10838,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10836]) ).

cnf(10839,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10837]) ).

cnf(10840,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10838]) ).

cnf(10841,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10839]) ).

cnf(10842,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10840]) ).

cnf(10843,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10841]) ).

cnf(10844,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10842]) ).

cnf(10845,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10843]) ).

cnf(10846,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,10844]) ).

cnf(10847,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,10845]) ).

cnf(10848,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10846]) ).

cnf(10849,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10847]) ).

cnf(10850,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10848]) ).

cnf(10851,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10849]) ).

cnf(10852,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10850]) ).

cnf(10853,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10851]) ).

cnf(10854,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10852]) ).

cnf(10855,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10853]) ).

cnf(10856,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10854]) ).

cnf(10857,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10855]) ).

cnf(10858,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10856]) ).

cnf(10859,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10857]) ).

cnf(10860,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10858]) ).

cnf(10861,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10859]) ).

cnf(10862,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,10860]) ).

cnf(10863,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,10861]) ).

cnf(10864,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10862]) ).

cnf(10865,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10863]) ).

cnf(10866,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10864]) ).

cnf(10867,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10865]) ).

cnf(10868,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10866]) ).

cnf(10869,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10867]) ).

cnf(10870,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10868]) ).

cnf(10871,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10869]) ).

cnf(10872,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10870]) ).

cnf(10873,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10871]) ).

cnf(10874,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10872]) ).

cnf(10875,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10873]) ).

cnf(10876,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10874]) ).

cnf(10877,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10875]) ).

cnf(10878,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,10876]) ).

cnf(10879,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,10877]) ).

cnf(10880,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10878]) ).

cnf(10881,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10879]) ).

cnf(10882,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10880]) ).

cnf(10883,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10881]) ).

cnf(10884,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10882]) ).

cnf(10885,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10883]) ).

cnf(10886,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10884]) ).

cnf(10887,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10885]) ).

cnf(10888,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10886]) ).

cnf(10889,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10887]) ).

cnf(10890,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10888]) ).

cnf(10891,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10889]) ).

cnf(10892,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10890]) ).

cnf(10893,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10891]) ).

cnf(10894,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,10892]) ).

cnf(10895,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,10893]) ).

cnf(10896,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10894]) ).

cnf(10897,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10895]) ).

cnf(10898,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10896]) ).

cnf(10899,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10897]) ).

cnf(10900,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10898]) ).

cnf(10901,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10899]) ).

cnf(10902,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10900]) ).

cnf(10903,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10901]) ).

cnf(10904,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10902]) ).

cnf(10905,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10903]) ).

cnf(10906,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10904]) ).

cnf(10907,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10905]) ).

cnf(10908,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10906]) ).

cnf(10909,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10907]) ).

cnf(10910,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,10908]) ).

cnf(10911,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,10909]) ).

cnf(10912,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10910]) ).

cnf(10913,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10911]) ).

cnf(10914,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10912]) ).

cnf(10915,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10913]) ).

cnf(10916,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10914]) ).

cnf(10917,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10915]) ).

cnf(10918,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10916]) ).

cnf(10919,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10917]) ).

cnf(10920,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10918]) ).

cnf(10921,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10919]) ).

cnf(10922,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10920]) ).

cnf(10923,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10921]) ).

cnf(10924,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10922]) ).

cnf(10925,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10923]) ).

cnf(10926,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,10924]) ).

cnf(10927,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,10925]) ).

cnf(10928,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10926]) ).

cnf(10929,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10927]) ).

cnf(10930,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10928]) ).

cnf(10931,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10929]) ).

cnf(10932,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10930]) ).

cnf(10933,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10931]) ).

cnf(10934,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10932]) ).

cnf(10935,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10933]) ).

cnf(10936,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10934]) ).

cnf(10937,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10935]) ).

cnf(10938,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10936]) ).

cnf(10939,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10937]) ).

cnf(10940,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10938]) ).

cnf(10941,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10939]) ).

cnf(10942,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,10940]) ).

cnf(10943,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,10941]) ).

cnf(10944,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10942]) ).

cnf(10945,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10943]) ).

cnf(10946,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10944]) ).

cnf(10947,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10945]) ).

cnf(10948,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10946]) ).

cnf(10949,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10947]) ).

cnf(10950,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10948]) ).

cnf(10951,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10949]) ).

cnf(10952,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10950]) ).

cnf(10953,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10951]) ).

cnf(10954,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10952]) ).

cnf(10955,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10953]) ).

cnf(10956,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10954]) ).

cnf(10957,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10955]) ).

cnf(10958,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,10956]) ).

cnf(10959,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,10957]) ).

cnf(10960,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10958]) ).

cnf(10961,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10959]) ).

cnf(10962,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10960]) ).

cnf(10963,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10961]) ).

cnf(10964,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10962]) ).

cnf(10965,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10963]) ).

cnf(10966,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10964]) ).

cnf(10967,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10965]) ).

cnf(10968,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10966]) ).

cnf(10969,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10967]) ).

cnf(10970,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10968]) ).

cnf(10971,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10969]) ).

cnf(10972,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10970]) ).

cnf(10973,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10971]) ).

cnf(10974,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,10972]) ).

cnf(10975,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,10973]) ).

cnf(10976,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10974]) ).

cnf(10977,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10975]) ).

cnf(10978,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10976]) ).

cnf(10979,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10977]) ).

cnf(10980,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10978]) ).

cnf(10981,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10979]) ).

cnf(10982,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10980]) ).

cnf(10983,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10981]) ).

cnf(10984,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10982]) ).

cnf(10985,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10983]) ).

cnf(10986,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10984]) ).

cnf(10987,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10985]) ).

cnf(10988,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10986]) ).

cnf(10989,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10987]) ).

cnf(10990,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,10988]) ).

cnf(10991,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,10989]) ).

cnf(10992,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10990]) ).

cnf(10993,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10991]) ).

cnf(10994,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,10992]) ).

cnf(10995,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,10993]) ).

cnf(10996,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10994]) ).

cnf(10997,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10995]) ).

cnf(10998,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,10996]) ).

cnf(10999,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,10997]) ).

cnf(11000,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,10998]) ).

cnf(11001,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,10999]) ).

cnf(11002,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11000]) ).

cnf(11003,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11001]) ).

cnf(11004,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11002]) ).

cnf(11005,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11003]) ).

cnf(11006,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,11004]) ).

cnf(11007,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,11005]) ).

cnf(11008,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11006]) ).

cnf(11009,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11007]) ).

cnf(11010,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11008]) ).

cnf(11011,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11009]) ).

cnf(11012,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11010]) ).

cnf(11013,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11011]) ).

cnf(11014,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11012]) ).

cnf(11015,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11013]) ).

cnf(11016,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11014]) ).

cnf(11017,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11015]) ).

cnf(11018,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11016]) ).

cnf(11019,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11017]) ).

cnf(11020,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11018]) ).

cnf(11021,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11019]) ).

cnf(11022,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,11020]) ).

cnf(11023,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,11021]) ).

cnf(11024,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11022]) ).

cnf(11025,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11023]) ).

cnf(11026,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11024]) ).

cnf(11027,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11025]) ).

cnf(11028,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11026]) ).

cnf(11029,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11027]) ).

cnf(11030,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11028]) ).

cnf(11031,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11029]) ).

cnf(11032,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11030]) ).

cnf(11033,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11031]) ).

cnf(11034,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11032]) ).

cnf(11035,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11033]) ).

cnf(11036,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11034]) ).

cnf(11037,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11035]) ).

cnf(11038,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,11036]) ).

cnf(11039,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,11037]) ).

cnf(11040,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11038]) ).

cnf(11041,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11039]) ).

cnf(11042,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11040]) ).

cnf(11043,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11041]) ).

cnf(11044,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11042]) ).

cnf(11045,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11043]) ).

cnf(11046,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11044]) ).

cnf(11047,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11045]) ).

cnf(11048,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11046]) ).

cnf(11049,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11047]) ).

cnf(11050,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11048]) ).

cnf(11051,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11049]) ).

cnf(11052,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11050]) ).

cnf(11053,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11051]) ).

cnf(11054,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,11052]) ).

cnf(11055,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,11053]) ).

cnf(11056,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11054]) ).

cnf(11057,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11055]) ).

cnf(11058,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11056]) ).

cnf(11059,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11057]) ).

cnf(11060,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11058]) ).

cnf(11061,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11059]) ).

cnf(11062,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11060]) ).

cnf(11063,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11061]) ).

cnf(11064,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11062]) ).

cnf(11065,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11063]) ).

cnf(11066,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11064]) ).

cnf(11067,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11065]) ).

cnf(11068,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11066]) ).

cnf(11069,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11067]) ).

cnf(11070,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,11068]) ).

cnf(11071,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,11069]) ).

cnf(11072,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11070]) ).

cnf(11073,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11071]) ).

cnf(11074,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11072]) ).

cnf(11075,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11073]) ).

cnf(11076,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11074]) ).

cnf(11077,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11075]) ).

cnf(11078,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11076]) ).

cnf(11079,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11077]) ).

cnf(11080,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11078]) ).

cnf(11081,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11079]) ).

cnf(11082,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11080]) ).

cnf(11083,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11081]) ).

cnf(11084,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11082]) ).

cnf(11085,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11083]) ).

cnf(11086,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,11084]) ).

cnf(11087,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,11085]) ).

cnf(11088,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11086]) ).

cnf(11089,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11087]) ).

cnf(11090,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11088]) ).

cnf(11091,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11089]) ).

cnf(11092,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11090]) ).

cnf(11093,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11091]) ).

cnf(11094,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11092]) ).

cnf(11095,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11093]) ).

cnf(11096,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11094]) ).

cnf(11097,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11095]) ).

cnf(11098,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11096]) ).

cnf(11099,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11097]) ).

cnf(11100,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11098]) ).

cnf(11101,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11099]) ).

cnf(11102,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,11100]) ).

cnf(11103,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,11101]) ).

cnf(11104,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11102]) ).

cnf(11105,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11103]) ).

cnf(11106,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11104]) ).

cnf(11107,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11105]) ).

cnf(11108,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11106]) ).

cnf(11109,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11107]) ).

cnf(11110,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11108]) ).

cnf(11111,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11109]) ).

cnf(11112,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11110]) ).

cnf(11113,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11111]) ).

cnf(11114,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11112]) ).

cnf(11115,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11113]) ).

cnf(11116,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11114]) ).

cnf(11117,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11115]) ).

cnf(11118,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,11116]) ).

cnf(11119,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,11117]) ).

cnf(11120,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11118]) ).

cnf(11121,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11119]) ).

cnf(11122,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11120]) ).

cnf(11123,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11121]) ).

cnf(11124,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11122]) ).

cnf(11125,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11123]) ).

cnf(11126,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11124]) ).

cnf(11127,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11125]) ).

cnf(11128,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11126]) ).

cnf(11129,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11127]) ).

cnf(11130,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11128]) ).

cnf(11131,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11129]) ).

cnf(11132,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11130]) ).

cnf(11133,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11131]) ).

cnf(11134,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,11132]) ).

cnf(11135,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,11133]) ).

cnf(11136,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11134]) ).

cnf(11137,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11135]) ).

cnf(11138,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11136]) ).

cnf(11139,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11137]) ).

cnf(11140,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11138]) ).

cnf(11141,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11139]) ).

cnf(11142,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11140]) ).

cnf(11143,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11141]) ).

cnf(11144,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11142]) ).

cnf(11145,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11143]) ).

cnf(11146,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11144]) ).

cnf(11147,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11145]) ).

cnf(11148,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11146]) ).

cnf(11149,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11147]) ).

cnf(11150,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,11148]) ).

cnf(11151,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,11149]) ).

cnf(11152,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11150]) ).

cnf(11153,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11151]) ).

cnf(11154,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11152]) ).

cnf(11155,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11153]) ).

cnf(11156,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11154]) ).

cnf(11157,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11155]) ).

cnf(11158,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11156]) ).

cnf(11159,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11157]) ).

cnf(11160,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11158]) ).

cnf(11161,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11159]) ).

cnf(11162,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11160]) ).

cnf(11163,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11161]) ).

cnf(11164,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11162]) ).

cnf(11165,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11163]) ).

cnf(11166,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,11164]) ).

cnf(11167,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,11165]) ).

cnf(11168,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11166]) ).

cnf(11169,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11167]) ).

cnf(11170,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11168]) ).

cnf(11171,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11169]) ).

cnf(11172,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11170]) ).

cnf(11173,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11171]) ).

cnf(11174,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11172]) ).

cnf(11175,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11173]) ).

cnf(11176,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11174]) ).

cnf(11177,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11175]) ).

cnf(11178,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11176]) ).

cnf(11179,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11177]) ).

cnf(11180,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11178]) ).

cnf(11181,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11179]) ).

cnf(11182,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,11180]) ).

cnf(11183,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,11181]) ).

cnf(11184,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11182]) ).

cnf(11185,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11183]) ).

cnf(11186,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11184]) ).

cnf(11187,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11185]) ).

cnf(11188,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11186]) ).

cnf(11189,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11187]) ).

cnf(11190,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11188]) ).

cnf(11191,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11189]) ).

cnf(11192,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11190]) ).

cnf(11193,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11191]) ).

cnf(11194,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11192]) ).

cnf(11195,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11193]) ).

cnf(11196,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11194]) ).

cnf(11197,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11195]) ).

cnf(11198,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,11196]) ).

cnf(11199,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,11197]) ).

cnf(11200,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11198]) ).

cnf(11201,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11199]) ).

cnf(11202,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11200]) ).

cnf(11203,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11201]) ).

cnf(11204,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11202]) ).

cnf(11205,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11203]) ).

cnf(11206,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11204]) ).

cnf(11207,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11205]) ).

cnf(11208,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11206]) ).

cnf(11209,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11207]) ).

cnf(11210,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11208]) ).

cnf(11211,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11209]) ).

cnf(11212,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11210]) ).

cnf(11213,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11211]) ).

cnf(11214,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,11212]) ).

cnf(11215,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,11213]) ).

cnf(11216,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11214]) ).

cnf(11217,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11215]) ).

cnf(11218,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11216]) ).

cnf(11219,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11217]) ).

cnf(11220,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11218]) ).

cnf(11221,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11219]) ).

cnf(11222,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11220]) ).

cnf(11223,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11221]) ).

cnf(11224,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11222]) ).

cnf(11225,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11223]) ).

cnf(11226,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11224]) ).

cnf(11227,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11225]) ).

cnf(11228,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11226]) ).

cnf(11229,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11227]) ).

cnf(11230,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,11228]) ).

cnf(11231,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,11229]) ).

cnf(11232,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11230]) ).

cnf(11233,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11231]) ).

cnf(11234,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11232]) ).

cnf(11235,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11233]) ).

cnf(11236,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11234]) ).

cnf(11237,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11235]) ).

cnf(11238,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11236]) ).

cnf(11239,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11237]) ).

cnf(11240,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11238]) ).

cnf(11241,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11239]) ).

cnf(11242,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11240]) ).

cnf(11243,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11241]) ).

cnf(11244,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11242]) ).

cnf(11245,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11243]) ).

cnf(11246,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,11244]) ).

cnf(11247,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,11245]) ).

cnf(11248,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11246]) ).

cnf(11249,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11247]) ).

cnf(11250,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11248]) ).

cnf(11251,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11249]) ).

cnf(11252,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11250]) ).

cnf(11253,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11251]) ).

cnf(11254,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11252]) ).

cnf(11255,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11253]) ).

cnf(11256,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11254]) ).

cnf(11257,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11255]) ).

cnf(11258,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11256]) ).

cnf(11259,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11257]) ).

cnf(11260,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11258]) ).

cnf(11261,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11259]) ).

cnf(11262,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,11260]) ).

cnf(11263,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,11261]) ).

cnf(11264,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11262]) ).

cnf(11265,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11263]) ).

cnf(11266,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11264]) ).

cnf(11267,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11265]) ).

cnf(11268,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11266]) ).

cnf(11269,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11267]) ).

cnf(11270,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11268]) ).

cnf(11271,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11269]) ).

cnf(11272,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11270]) ).

cnf(11273,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11271]) ).

cnf(11274,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11272]) ).

cnf(11275,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11273]) ).

cnf(11276,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11274]) ).

cnf(11277,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11275]) ).

cnf(11278,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,11276]) ).

cnf(11279,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,11277]) ).

cnf(11280,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11278]) ).

cnf(11281,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11279]) ).

cnf(11282,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11280]) ).

cnf(11283,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11281]) ).

cnf(11284,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11282]) ).

cnf(11285,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11283]) ).

cnf(11286,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11284]) ).

cnf(11287,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11285]) ).

cnf(11288,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11286]) ).

cnf(11289,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11287]) ).

cnf(11290,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11288]) ).

cnf(11291,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11289]) ).

cnf(11292,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11290]) ).

cnf(11293,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11291]) ).

cnf(11294,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[12,11292]) ).

cnf(11295,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[12,11293]) ).

cnf(11296,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11294]) ).

cnf(11297,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11295]) ).

cnf(11298,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11296]) ).

cnf(11299,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11297]) ).

cnf(11300,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11298]) ).

cnf(11301,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11299]) ).

cnf(11302,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11300]) ).

cnf(11303,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11301]) ).

cnf(11304,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11302]) ).

cnf(11305,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11303]) ).

cnf(11306,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11304]) ).

cnf(11307,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11305]) ).

cnf(11308,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11306]) ).

cnf(11309,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11307]) ).

cnf(11310,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,11308]) ).

cnf(11311,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,11309]) ).

cnf(11312,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11310]) ).

cnf(11313,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11311]) ).

cnf(11314,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11312]) ).

cnf(11315,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11313]) ).

cnf(11316,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11314]) ).

cnf(11317,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11315]) ).

cnf(11318,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11316]) ).

cnf(11319,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11317]) ).

cnf(11320,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11318]) ).

cnf(11321,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11319]) ).

cnf(11322,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11320]) ).

cnf(11323,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11321]) ).

cnf(11324,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11322]) ).

cnf(11325,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11323]) ).

cnf(11326,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,11324]) ).

cnf(11327,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,11325]) ).

cnf(11328,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11326]) ).

cnf(11329,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11327]) ).

cnf(11330,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11328]) ).

cnf(11331,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11329]) ).

cnf(11332,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11330]) ).

cnf(11333,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11331]) ).

cnf(11334,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11332]) ).

cnf(11335,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11333]) ).

cnf(11336,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11334]) ).

cnf(11337,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11335]) ).

cnf(11338,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11336]) ).

cnf(11339,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11337]) ).

cnf(11340,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11338]) ).

cnf(11341,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11339]) ).

cnf(11342,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,11340]) ).

cnf(11343,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,11341]) ).

cnf(11344,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11342]) ).

cnf(11345,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11343]) ).

cnf(11346,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11344]) ).

cnf(11347,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11345]) ).

cnf(11348,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11346]) ).

cnf(11349,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11347]) ).

cnf(11350,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11348]) ).

cnf(11351,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11349]) ).

cnf(11352,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11350]) ).

cnf(11353,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11351]) ).

cnf(11354,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11352]) ).

cnf(11355,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11353]) ).

cnf(11356,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11354]) ).

cnf(11357,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11355]) ).

cnf(11358,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,11356]) ).

cnf(11359,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,11357]) ).

cnf(11360,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11358]) ).

cnf(11361,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11359]) ).

cnf(11362,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11360]) ).

cnf(11363,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11361]) ).

cnf(11364,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11362]) ).

cnf(11365,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11363]) ).

cnf(11366,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11364]) ).

cnf(11367,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11365]) ).

cnf(11368,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11366]) ).

cnf(11369,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11367]) ).

cnf(11370,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11368]) ).

cnf(11371,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11369]) ).

cnf(11372,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11370]) ).

cnf(11373,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11371]) ).

cnf(11374,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,11372]) ).

cnf(11375,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,11373]) ).

cnf(11376,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11374]) ).

cnf(11377,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11375]) ).

cnf(11378,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11376]) ).

cnf(11379,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11377]) ).

cnf(11380,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11378]) ).

cnf(11381,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11379]) ).

cnf(11382,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11380]) ).

cnf(11383,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11381]) ).

cnf(11384,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11382]) ).

cnf(11385,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11383]) ).

cnf(11386,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11384]) ).

cnf(11387,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11385]) ).

cnf(11388,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11386]) ).

cnf(11389,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11387]) ).

cnf(11390,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,11388]) ).

cnf(11391,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,11389]) ).

cnf(11392,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11390]) ).

cnf(11393,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11391]) ).

cnf(11394,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11392]) ).

cnf(11395,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11393]) ).

cnf(11396,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11394]) ).

cnf(11397,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11395]) ).

cnf(11398,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11396]) ).

cnf(11399,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11397]) ).

cnf(11400,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11398]) ).

cnf(11401,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11399]) ).

cnf(11402,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11400]) ).

cnf(11403,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11401]) ).

cnf(11404,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11402]) ).

cnf(11405,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11403]) ).

cnf(11406,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,11404]) ).

cnf(11407,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,11405]) ).

cnf(11408,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11406]) ).

cnf(11409,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11407]) ).

cnf(11410,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11408]) ).

cnf(11411,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11409]) ).

cnf(11412,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11410]) ).

cnf(11413,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11411]) ).

cnf(11414,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11412]) ).

cnf(11415,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11413]) ).

cnf(11416,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11414]) ).

cnf(11417,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11415]) ).

cnf(11418,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11416]) ).

cnf(11419,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11417]) ).

cnf(11420,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11418]) ).

cnf(11421,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11419]) ).

cnf(11422,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,11420]) ).

cnf(11423,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,11421]) ).

cnf(11424,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11422]) ).

cnf(11425,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11423]) ).

cnf(11426,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11424]) ).

cnf(11427,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11425]) ).

cnf(11428,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11426]) ).

cnf(11429,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11427]) ).

cnf(11430,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11428]) ).

cnf(11431,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11429]) ).

cnf(11432,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11430]) ).

cnf(11433,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11431]) ).

cnf(11434,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11432]) ).

cnf(11435,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11433]) ).

cnf(11436,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11434]) ).

cnf(11437,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11435]) ).

cnf(11438,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,11436]) ).

cnf(11439,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,11437]) ).

cnf(11440,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11438]) ).

cnf(11441,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11439]) ).

cnf(11442,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11440]) ).

cnf(11443,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11441]) ).

cnf(11444,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11442]) ).

cnf(11445,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11443]) ).

cnf(11446,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11444]) ).

cnf(11447,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11445]) ).

cnf(11448,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11446]) ).

cnf(11449,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11447]) ).

cnf(11450,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11448]) ).

cnf(11451,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11449]) ).

cnf(11452,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11450]) ).

cnf(11453,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11451]) ).

cnf(11454,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,11452]) ).

cnf(11455,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,11453]) ).

cnf(11456,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11454]) ).

cnf(11457,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11455]) ).

cnf(11458,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11456]) ).

cnf(11459,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11457]) ).

cnf(11460,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11458]) ).

cnf(11461,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11459]) ).

cnf(11462,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11460]) ).

cnf(11463,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11461]) ).

cnf(11464,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11462]) ).

cnf(11465,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11463]) ).

cnf(11466,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11464]) ).

cnf(11467,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11465]) ).

cnf(11468,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11466]) ).

cnf(11469,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11467]) ).

cnf(11470,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,11468]) ).

cnf(11471,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,11469]) ).

cnf(11472,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11470]) ).

cnf(11473,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11471]) ).

cnf(11474,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11472]) ).

cnf(11475,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11473]) ).

cnf(11476,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11474]) ).

cnf(11477,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11475]) ).

cnf(11478,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11476]) ).

cnf(11479,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11477]) ).

cnf(11480,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11478]) ).

cnf(11481,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11479]) ).

cnf(11482,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11480]) ).

cnf(11483,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11481]) ).

cnf(11484,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11482]) ).

cnf(11485,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11483]) ).

cnf(11486,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,11484]) ).

cnf(11487,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,11485]) ).

cnf(11488,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11486]) ).

cnf(11489,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11487]) ).

cnf(11490,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11488]) ).

cnf(11491,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11489]) ).

cnf(11492,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11490]) ).

cnf(11493,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11491]) ).

cnf(11494,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11492]) ).

cnf(11495,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11493]) ).

cnf(11496,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11494]) ).

cnf(11497,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11495]) ).

cnf(11498,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11496]) ).

cnf(11499,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11497]) ).

cnf(11500,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11498]) ).

cnf(11501,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11499]) ).

cnf(11502,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,11500]) ).

cnf(11503,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,11501]) ).

cnf(11504,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11502]) ).

cnf(11505,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11503]) ).

cnf(11506,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11504]) ).

cnf(11507,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11505]) ).

cnf(11508,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11506]) ).

cnf(11509,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11507]) ).

cnf(11510,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11508]) ).

cnf(11511,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11509]) ).

cnf(11512,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11510]) ).

cnf(11513,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11511]) ).

cnf(11514,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11512]) ).

cnf(11515,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11513]) ).

cnf(11516,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11514]) ).

cnf(11517,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11515]) ).

cnf(11518,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,11516]) ).

cnf(11519,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,11517]) ).

cnf(11520,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11518]) ).

cnf(11521,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11519]) ).

cnf(11522,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11520]) ).

cnf(11523,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11521]) ).

cnf(11524,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11522]) ).

cnf(11525,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11523]) ).

cnf(11526,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11524]) ).

cnf(11527,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11525]) ).

cnf(11528,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11526]) ).

cnf(11529,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11527]) ).

cnf(11530,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11528]) ).

cnf(11531,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11529]) ).

cnf(11532,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11530]) ).

cnf(11533,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11531]) ).

cnf(11534,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,11532]) ).

cnf(11535,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,11533]) ).

cnf(11536,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11534]) ).

cnf(11537,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11535]) ).

cnf(11538,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11536]) ).

cnf(11539,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11537]) ).

cnf(11540,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11538]) ).

cnf(11541,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11539]) ).

cnf(11542,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11540]) ).

cnf(11543,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11541]) ).

cnf(11544,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11542]) ).

cnf(11545,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11543]) ).

cnf(11546,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11544]) ).

cnf(11547,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11545]) ).

cnf(11548,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11546]) ).

cnf(11549,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11547]) ).

cnf(11550,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,11548]) ).

cnf(11551,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,11549]) ).

cnf(11552,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11550]) ).

cnf(11553,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11551]) ).

cnf(11554,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11552]) ).

cnf(11555,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11553]) ).

cnf(11556,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11554]) ).

cnf(11557,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11555]) ).

cnf(11558,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11556]) ).

cnf(11559,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11557]) ).

cnf(11560,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11558]) ).

cnf(11561,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11559]) ).

cnf(11562,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11560]) ).

cnf(11563,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11561]) ).

cnf(11564,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11562]) ).

cnf(11565,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11563]) ).

cnf(11566,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,11564]) ).

cnf(11567,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,11565]) ).

cnf(11568,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11566]) ).

cnf(11569,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11567]) ).

cnf(11570,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11568]) ).

cnf(11571,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11569]) ).

cnf(11572,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11570]) ).

cnf(11573,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11571]) ).

cnf(11574,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11572]) ).

cnf(11575,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11573]) ).

cnf(11576,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11574]) ).

cnf(11577,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11575]) ).

cnf(11578,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11576]) ).

cnf(11579,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11577]) ).

cnf(11580,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11578]) ).

cnf(11581,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11579]) ).

cnf(11582,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,11580]) ).

cnf(11583,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,11581]) ).

cnf(11584,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11582]) ).

cnf(11585,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11583]) ).

cnf(11586,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11584]) ).

cnf(11587,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11585]) ).

cnf(11588,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11586]) ).

cnf(11589,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11587]) ).

cnf(11590,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11588]) ).

cnf(11591,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11589]) ).

cnf(11592,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11590]) ).

cnf(11593,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11591]) ).

cnf(11594,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11592]) ).

cnf(11595,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11593]) ).

cnf(11596,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11594]) ).

cnf(11597,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11595]) ).

cnf(11598,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,11596]) ).

cnf(11599,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,11597]) ).

cnf(11600,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11598]) ).

cnf(11601,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11599]) ).

cnf(11602,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11600]) ).

cnf(11603,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11601]) ).

cnf(11604,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11602]) ).

cnf(11605,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11603]) ).

cnf(11606,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11604]) ).

cnf(11607,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11605]) ).

cnf(11608,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11606]) ).

cnf(11609,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11607]) ).

cnf(11610,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11608]) ).

cnf(11611,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11609]) ).

cnf(11612,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11610]) ).

cnf(11613,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11611]) ).

cnf(11614,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,11612]) ).

cnf(11615,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,11613]) ).

cnf(11616,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11614]) ).

cnf(11617,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11615]) ).

cnf(11618,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11616]) ).

cnf(11619,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11617]) ).

cnf(11620,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11618]) ).

cnf(11621,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11619]) ).

cnf(11622,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11620]) ).

cnf(11623,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11621]) ).

cnf(11624,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11622]) ).

cnf(11625,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11623]) ).

cnf(11626,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11624]) ).

cnf(11627,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11625]) ).

cnf(11628,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11626]) ).

cnf(11629,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11627]) ).

cnf(11630,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,11628]) ).

cnf(11631,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,11629]) ).

cnf(11632,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11630]) ).

cnf(11633,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11631]) ).

cnf(11634,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11632]) ).

cnf(11635,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11633]) ).

cnf(11636,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11634]) ).

cnf(11637,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11635]) ).

cnf(11638,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11636]) ).

cnf(11639,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11637]) ).

cnf(11640,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11638]) ).

cnf(11641,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11639]) ).

cnf(11642,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11640]) ).

cnf(11643,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11641]) ).

cnf(11644,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11642]) ).

cnf(11645,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11643]) ).

cnf(11646,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,11644]) ).

cnf(11647,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,11645]) ).

cnf(11648,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11646]) ).

cnf(11649,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11647]) ).

cnf(11650,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11648]) ).

cnf(11651,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11649]) ).

cnf(11652,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11650]) ).

cnf(11653,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11651]) ).

cnf(11654,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11652]) ).

cnf(11655,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11653]) ).

cnf(11656,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11654]) ).

cnf(11657,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11655]) ).

cnf(11658,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11656]) ).

cnf(11659,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11657]) ).

cnf(11660,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11658]) ).

cnf(11661,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11659]) ).

cnf(11662,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,11660]) ).

cnf(11663,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,11661]) ).

cnf(11664,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11662]) ).

cnf(11665,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11663]) ).

cnf(11666,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11664]) ).

cnf(11667,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11665]) ).

cnf(11668,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11666]) ).

cnf(11669,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11667]) ).

cnf(11670,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11668]) ).

cnf(11671,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11669]) ).

cnf(11672,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11670]) ).

cnf(11673,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11671]) ).

cnf(11674,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11672]) ).

cnf(11675,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11673]) ).

cnf(11676,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11674]) ).

cnf(11677,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11675]) ).

cnf(11678,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,11676]) ).

cnf(11679,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,11677]) ).

cnf(11680,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11678]) ).

cnf(11681,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11679]) ).

cnf(11682,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11680]) ).

cnf(11683,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11681]) ).

cnf(11684,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11682]) ).

cnf(11685,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11683]) ).

cnf(11686,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11684]) ).

cnf(11687,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11685]) ).

cnf(11688,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11686]) ).

cnf(11689,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11687]) ).

cnf(11690,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11688]) ).

cnf(11691,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11689]) ).

cnf(11692,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11690]) ).

cnf(11693,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11691]) ).

cnf(11694,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,11692]) ).

cnf(11695,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,11693]) ).

cnf(11696,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11694]) ).

cnf(11697,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11695]) ).

cnf(11698,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11696]) ).

cnf(11699,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11697]) ).

cnf(11700,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11698]) ).

cnf(11701,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11699]) ).

cnf(11702,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11700]) ).

cnf(11703,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11701]) ).

cnf(11704,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11702]) ).

cnf(11705,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11703]) ).

cnf(11706,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11704]) ).

cnf(11707,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11705]) ).

cnf(11708,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11706]) ).

cnf(11709,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11707]) ).

cnf(11710,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,11708]) ).

cnf(11711,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,11709]) ).

cnf(11712,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11710]) ).

cnf(11713,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11711]) ).

cnf(11714,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11712]) ).

cnf(11715,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11713]) ).

cnf(11716,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11714]) ).

cnf(11717,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11715]) ).

cnf(11718,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11716]) ).

cnf(11719,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11717]) ).

cnf(11720,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11718]) ).

cnf(11721,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11719]) ).

cnf(11722,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11720]) ).

cnf(11723,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11721]) ).

cnf(11724,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11722]) ).

cnf(11725,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11723]) ).

cnf(11726,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,11724]) ).

cnf(11727,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,11725]) ).

cnf(11728,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11726]) ).

cnf(11729,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11727]) ).

cnf(11730,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11728]) ).

cnf(11731,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11729]) ).

cnf(11732,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11730]) ).

cnf(11733,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11731]) ).

cnf(11734,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11732]) ).

cnf(11735,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11733]) ).

cnf(11736,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11734]) ).

cnf(11737,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11735]) ).

cnf(11738,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11736]) ).

cnf(11739,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11737]) ).

cnf(11740,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11738]) ).

cnf(11741,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11739]) ).

cnf(11742,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,11740]) ).

cnf(11743,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,11741]) ).

cnf(11744,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11742]) ).

cnf(11745,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11743]) ).

cnf(11746,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11744]) ).

cnf(11747,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11745]) ).

cnf(11748,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11746]) ).

cnf(11749,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11747]) ).

cnf(11750,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11748]) ).

cnf(11751,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11749]) ).

cnf(11752,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11750]) ).

cnf(11753,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11751]) ).

cnf(11754,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11752]) ).

cnf(11755,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11753]) ).

cnf(11756,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11754]) ).

cnf(11757,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11755]) ).

cnf(11758,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,11756]) ).

cnf(11759,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,11757]) ).

cnf(11760,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11758]) ).

cnf(11761,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11759]) ).

cnf(11762,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11760]) ).

cnf(11763,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11761]) ).

cnf(11764,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11762]) ).

cnf(11765,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11763]) ).

cnf(11766,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11764]) ).

cnf(11767,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11765]) ).

cnf(11768,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11766]) ).

cnf(11769,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11767]) ).

cnf(11770,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11768]) ).

cnf(11771,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11769]) ).

cnf(11772,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11770]) ).

cnf(11773,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11771]) ).

cnf(11774,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,11772]) ).

cnf(11775,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,11773]) ).

cnf(11776,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11774]) ).

cnf(11777,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11775]) ).

cnf(11778,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11776]) ).

cnf(11779,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11777]) ).

cnf(11780,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11778]) ).

cnf(11781,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11779]) ).

cnf(11782,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11780]) ).

cnf(11783,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11781]) ).

cnf(11784,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11782]) ).

cnf(11785,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11783]) ).

cnf(11786,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11784]) ).

cnf(11787,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11785]) ).

cnf(11788,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11786]) ).

cnf(11789,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11787]) ).

cnf(11790,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,11788]) ).

cnf(11791,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,11789]) ).

cnf(11792,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11790]) ).

cnf(11793,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11791]) ).

cnf(11794,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11792]) ).

cnf(11795,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11793]) ).

cnf(11796,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11794]) ).

cnf(11797,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11795]) ).

cnf(11798,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11796]) ).

cnf(11799,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11797]) ).

cnf(11800,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11798]) ).

cnf(11801,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11799]) ).

cnf(11802,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11800]) ).

cnf(11803,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11801]) ).

cnf(11804,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11802]) ).

cnf(11805,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11803]) ).

cnf(11806,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[11,11804]) ).

cnf(11807,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[11,11805]) ).

cnf(11808,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11806]) ).

cnf(11809,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11807]) ).

cnf(11810,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11808]) ).

cnf(11811,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11809]) ).

cnf(11812,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11810]) ).

cnf(11813,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11811]) ).

cnf(11814,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11812]) ).

cnf(11815,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11813]) ).

cnf(11816,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11814]) ).

cnf(11817,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11815]) ).

cnf(11818,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11816]) ).

cnf(11819,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11817]) ).

cnf(11820,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11818]) ).

cnf(11821,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11819]) ).

cnf(11822,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,11820]) ).

cnf(11823,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,11821]) ).

cnf(11824,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11822]) ).

cnf(11825,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11823]) ).

cnf(11826,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11824]) ).

cnf(11827,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11825]) ).

cnf(11828,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11826]) ).

cnf(11829,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11827]) ).

cnf(11830,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11828]) ).

cnf(11831,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11829]) ).

cnf(11832,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11830]) ).

cnf(11833,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11831]) ).

cnf(11834,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11832]) ).

cnf(11835,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11833]) ).

cnf(11836,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11834]) ).

cnf(11837,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11835]) ).

cnf(11838,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,11836]) ).

cnf(11839,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,11837]) ).

cnf(11840,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11838]) ).

cnf(11841,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11839]) ).

cnf(11842,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11840]) ).

cnf(11843,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11841]) ).

cnf(11844,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11842]) ).

cnf(11845,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11843]) ).

cnf(11846,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11844]) ).

cnf(11847,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11845]) ).

cnf(11848,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11846]) ).

cnf(11849,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11847]) ).

cnf(11850,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11848]) ).

cnf(11851,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11849]) ).

cnf(11852,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11850]) ).

cnf(11853,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11851]) ).

cnf(11854,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,11852]) ).

cnf(11855,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,11853]) ).

cnf(11856,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11854]) ).

cnf(11857,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11855]) ).

cnf(11858,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11856]) ).

cnf(11859,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11857]) ).

cnf(11860,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11858]) ).

cnf(11861,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11859]) ).

cnf(11862,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11860]) ).

cnf(11863,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11861]) ).

cnf(11864,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11862]) ).

cnf(11865,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11863]) ).

cnf(11866,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11864]) ).

cnf(11867,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11865]) ).

cnf(11868,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11866]) ).

cnf(11869,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11867]) ).

cnf(11870,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,11868]) ).

cnf(11871,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,11869]) ).

cnf(11872,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11870]) ).

cnf(11873,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11871]) ).

cnf(11874,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11872]) ).

cnf(11875,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11873]) ).

cnf(11876,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11874]) ).

cnf(11877,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11875]) ).

cnf(11878,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11876]) ).

cnf(11879,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11877]) ).

cnf(11880,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11878]) ).

cnf(11881,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11879]) ).

cnf(11882,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11880]) ).

cnf(11883,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11881]) ).

cnf(11884,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11882]) ).

cnf(11885,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11883]) ).

cnf(11886,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,11884]) ).

cnf(11887,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,11885]) ).

cnf(11888,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11886]) ).

cnf(11889,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11887]) ).

cnf(11890,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11888]) ).

cnf(11891,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11889]) ).

cnf(11892,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11890]) ).

cnf(11893,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11891]) ).

cnf(11894,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11892]) ).

cnf(11895,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11893]) ).

cnf(11896,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11894]) ).

cnf(11897,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11895]) ).

cnf(11898,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11896]) ).

cnf(11899,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11897]) ).

cnf(11900,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11898]) ).

cnf(11901,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11899]) ).

cnf(11902,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,11900]) ).

cnf(11903,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,11901]) ).

cnf(11904,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11902]) ).

cnf(11905,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11903]) ).

cnf(11906,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11904]) ).

cnf(11907,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11905]) ).

cnf(11908,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11906]) ).

cnf(11909,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11907]) ).

cnf(11910,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11908]) ).

cnf(11911,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11909]) ).

cnf(11912,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11910]) ).

cnf(11913,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11911]) ).

cnf(11914,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11912]) ).

cnf(11915,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11913]) ).

cnf(11916,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11914]) ).

cnf(11917,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11915]) ).

cnf(11918,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,11916]) ).

cnf(11919,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,11917]) ).

cnf(11920,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11918]) ).

cnf(11921,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11919]) ).

cnf(11922,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11920]) ).

cnf(11923,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11921]) ).

cnf(11924,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11922]) ).

cnf(11925,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11923]) ).

cnf(11926,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11924]) ).

cnf(11927,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11925]) ).

cnf(11928,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11926]) ).

cnf(11929,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11927]) ).

cnf(11930,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11928]) ).

cnf(11931,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11929]) ).

cnf(11932,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11930]) ).

cnf(11933,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11931]) ).

cnf(11934,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,11932]) ).

cnf(11935,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,11933]) ).

cnf(11936,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11934]) ).

cnf(11937,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11935]) ).

cnf(11938,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11936]) ).

cnf(11939,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11937]) ).

cnf(11940,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11938]) ).

cnf(11941,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11939]) ).

cnf(11942,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11940]) ).

cnf(11943,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11941]) ).

cnf(11944,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11942]) ).

cnf(11945,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11943]) ).

cnf(11946,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11944]) ).

cnf(11947,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11945]) ).

cnf(11948,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11946]) ).

cnf(11949,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11947]) ).

cnf(11950,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,11948]) ).

cnf(11951,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,11949]) ).

cnf(11952,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11950]) ).

cnf(11953,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11951]) ).

cnf(11954,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11952]) ).

cnf(11955,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11953]) ).

cnf(11956,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11954]) ).

cnf(11957,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11955]) ).

cnf(11958,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11956]) ).

cnf(11959,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11957]) ).

cnf(11960,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11958]) ).

cnf(11961,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11959]) ).

cnf(11962,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11960]) ).

cnf(11963,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11961]) ).

cnf(11964,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11962]) ).

cnf(11965,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11963]) ).

cnf(11966,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,11964]) ).

cnf(11967,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,11965]) ).

cnf(11968,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11966]) ).

cnf(11969,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11967]) ).

cnf(11970,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11968]) ).

cnf(11971,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11969]) ).

cnf(11972,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11970]) ).

cnf(11973,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11971]) ).

cnf(11974,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11972]) ).

cnf(11975,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11973]) ).

cnf(11976,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11974]) ).

cnf(11977,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11975]) ).

cnf(11978,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11976]) ).

cnf(11979,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11977]) ).

cnf(11980,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11978]) ).

cnf(11981,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11979]) ).

cnf(11982,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,11980]) ).

cnf(11983,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,11981]) ).

cnf(11984,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11982]) ).

cnf(11985,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11983]) ).

cnf(11986,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11984]) ).

cnf(11987,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11985]) ).

cnf(11988,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11986]) ).

cnf(11989,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11987]) ).

cnf(11990,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,11988]) ).

cnf(11991,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,11989]) ).

cnf(11992,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11990]) ).

cnf(11993,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11991]) ).

cnf(11994,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,11992]) ).

cnf(11995,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,11993]) ).

cnf(11996,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11994]) ).

cnf(11997,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11995]) ).

cnf(11998,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,11996]) ).

cnf(11999,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,11997]) ).

cnf(12000,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,11998]) ).

cnf(12001,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,11999]) ).

cnf(12002,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12000]) ).

cnf(12003,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12001]) ).

cnf(12004,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12002]) ).

cnf(12005,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12003]) ).

cnf(12006,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12004]) ).

cnf(12007,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12005]) ).

cnf(12008,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12006]) ).

cnf(12009,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12007]) ).

cnf(12010,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12008]) ).

cnf(12011,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12009]) ).

cnf(12012,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12010]) ).

cnf(12013,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12011]) ).

cnf(12014,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,12012]) ).

cnf(12015,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,12013]) ).

cnf(12016,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12014]) ).

cnf(12017,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12015]) ).

cnf(12018,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12016]) ).

cnf(12019,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12017]) ).

cnf(12020,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12018]) ).

cnf(12021,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12019]) ).

cnf(12022,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12020]) ).

cnf(12023,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12021]) ).

cnf(12024,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12022]) ).

cnf(12025,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12023]) ).

cnf(12026,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12024]) ).

cnf(12027,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12025]) ).

cnf(12028,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12026]) ).

cnf(12029,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12027]) ).

cnf(12030,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,12028]) ).

cnf(12031,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,12029]) ).

cnf(12032,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12030]) ).

cnf(12033,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12031]) ).

cnf(12034,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12032]) ).

cnf(12035,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12033]) ).

cnf(12036,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12034]) ).

cnf(12037,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12035]) ).

cnf(12038,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12036]) ).

cnf(12039,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12037]) ).

cnf(12040,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12038]) ).

cnf(12041,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12039]) ).

cnf(12042,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12040]) ).

cnf(12043,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12041]) ).

cnf(12044,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12042]) ).

cnf(12045,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12043]) ).

cnf(12046,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,12044]) ).

cnf(12047,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,12045]) ).

cnf(12048,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12046]) ).

cnf(12049,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12047]) ).

cnf(12050,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12048]) ).

cnf(12051,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12049]) ).

cnf(12052,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12050]) ).

cnf(12053,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12051]) ).

cnf(12054,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12052]) ).

cnf(12055,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12053]) ).

cnf(12056,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12054]) ).

cnf(12057,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12055]) ).

cnf(12058,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12056]) ).

cnf(12059,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12057]) ).

cnf(12060,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12058]) ).

cnf(12061,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12059]) ).

cnf(12062,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,12060]) ).

cnf(12063,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,12061]) ).

cnf(12064,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12062]) ).

cnf(12065,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12063]) ).

cnf(12066,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12064]) ).

cnf(12067,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12065]) ).

cnf(12068,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12066]) ).

cnf(12069,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12067]) ).

cnf(12070,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12068]) ).

cnf(12071,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12069]) ).

cnf(12072,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12070]) ).

cnf(12073,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12071]) ).

cnf(12074,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12072]) ).

cnf(12075,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12073]) ).

cnf(12076,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12074]) ).

cnf(12077,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12075]) ).

cnf(12078,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,12076]) ).

cnf(12079,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,12077]) ).

cnf(12080,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12078]) ).

cnf(12081,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12079]) ).

cnf(12082,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12080]) ).

cnf(12083,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12081]) ).

cnf(12084,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12082]) ).

cnf(12085,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12083]) ).

cnf(12086,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12084]) ).

cnf(12087,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12085]) ).

cnf(12088,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12086]) ).

cnf(12089,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12087]) ).

cnf(12090,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12088]) ).

cnf(12091,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12089]) ).

cnf(12092,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12090]) ).

cnf(12093,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12091]) ).

cnf(12094,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,12092]) ).

cnf(12095,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,12093]) ).

cnf(12096,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12094]) ).

cnf(12097,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12095]) ).

cnf(12098,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12096]) ).

cnf(12099,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12097]) ).

cnf(12100,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12098]) ).

cnf(12101,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12099]) ).

cnf(12102,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12100]) ).

cnf(12103,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12101]) ).

cnf(12104,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12102]) ).

cnf(12105,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12103]) ).

cnf(12106,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12104]) ).

cnf(12107,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12105]) ).

cnf(12108,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12106]) ).

cnf(12109,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12107]) ).

cnf(12110,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,12108]) ).

cnf(12111,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,12109]) ).

cnf(12112,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12110]) ).

cnf(12113,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12111]) ).

cnf(12114,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12112]) ).

cnf(12115,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12113]) ).

cnf(12116,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12114]) ).

cnf(12117,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12115]) ).

cnf(12118,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12116]) ).

cnf(12119,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12117]) ).

cnf(12120,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12118]) ).

cnf(12121,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12119]) ).

cnf(12122,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12120]) ).

cnf(12123,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12121]) ).

cnf(12124,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12122]) ).

cnf(12125,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12123]) ).

cnf(12126,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,12124]) ).

cnf(12127,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,12125]) ).

cnf(12128,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12126]) ).

cnf(12129,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12127]) ).

cnf(12130,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12128]) ).

cnf(12131,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12129]) ).

cnf(12132,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12130]) ).

cnf(12133,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12131]) ).

cnf(12134,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12132]) ).

cnf(12135,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12133]) ).

cnf(12136,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12134]) ).

cnf(12137,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12135]) ).

cnf(12138,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12136]) ).

cnf(12139,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12137]) ).

cnf(12140,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12138]) ).

cnf(12141,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12139]) ).

cnf(12142,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,12140]) ).

cnf(12143,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,12141]) ).

cnf(12144,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12142]) ).

cnf(12145,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12143]) ).

cnf(12146,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12144]) ).

cnf(12147,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12145]) ).

cnf(12148,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12146]) ).

cnf(12149,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12147]) ).

cnf(12150,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12148]) ).

cnf(12151,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12149]) ).

cnf(12152,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12150]) ).

cnf(12153,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12151]) ).

cnf(12154,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12152]) ).

cnf(12155,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12153]) ).

cnf(12156,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12154]) ).

cnf(12157,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12155]) ).

cnf(12158,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,12156]) ).

cnf(12159,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,12157]) ).

cnf(12160,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12158]) ).

cnf(12161,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12159]) ).

cnf(12162,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12160]) ).

cnf(12163,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12161]) ).

cnf(12164,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12162]) ).

cnf(12165,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12163]) ).

cnf(12166,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12164]) ).

cnf(12167,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12165]) ).

cnf(12168,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12166]) ).

cnf(12169,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12167]) ).

cnf(12170,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12168]) ).

cnf(12171,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12169]) ).

cnf(12172,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12170]) ).

cnf(12173,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12171]) ).

cnf(12174,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,12172]) ).

cnf(12175,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,12173]) ).

cnf(12176,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12174]) ).

cnf(12177,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12175]) ).

cnf(12178,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12176]) ).

cnf(12179,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12177]) ).

cnf(12180,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12178]) ).

cnf(12181,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12179]) ).

cnf(12182,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12180]) ).

cnf(12183,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12181]) ).

cnf(12184,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12182]) ).

cnf(12185,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12183]) ).

cnf(12186,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12184]) ).

cnf(12187,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12185]) ).

cnf(12188,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12186]) ).

cnf(12189,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12187]) ).

cnf(12190,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,12188]) ).

cnf(12191,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,12189]) ).

cnf(12192,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12190]) ).

cnf(12193,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12191]) ).

cnf(12194,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12192]) ).

cnf(12195,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12193]) ).

cnf(12196,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12194]) ).

cnf(12197,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12195]) ).

cnf(12198,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12196]) ).

cnf(12199,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12197]) ).

cnf(12200,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12198]) ).

cnf(12201,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12199]) ).

cnf(12202,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12200]) ).

cnf(12203,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12201]) ).

cnf(12204,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12202]) ).

cnf(12205,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12203]) ).

cnf(12206,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,12204]) ).

cnf(12207,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,12205]) ).

cnf(12208,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12206]) ).

cnf(12209,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12207]) ).

cnf(12210,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12208]) ).

cnf(12211,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12209]) ).

cnf(12212,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12210]) ).

cnf(12213,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12211]) ).

cnf(12214,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12212]) ).

cnf(12215,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12213]) ).

cnf(12216,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12214]) ).

cnf(12217,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12215]) ).

cnf(12218,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12216]) ).

cnf(12219,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12217]) ).

cnf(12220,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12218]) ).

cnf(12221,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12219]) ).

cnf(12222,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,12220]) ).

cnf(12223,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,12221]) ).

cnf(12224,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12222]) ).

cnf(12225,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12223]) ).

cnf(12226,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12224]) ).

cnf(12227,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12225]) ).

cnf(12228,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12226]) ).

cnf(12229,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12227]) ).

cnf(12230,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12228]) ).

cnf(12231,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12229]) ).

cnf(12232,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12230]) ).

cnf(12233,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12231]) ).

cnf(12234,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12232]) ).

cnf(12235,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12233]) ).

cnf(12236,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12234]) ).

cnf(12237,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12235]) ).

cnf(12238,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,12236]) ).

cnf(12239,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,12237]) ).

cnf(12240,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12238]) ).

cnf(12241,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12239]) ).

cnf(12242,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12240]) ).

cnf(12243,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12241]) ).

cnf(12244,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12242]) ).

cnf(12245,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12243]) ).

cnf(12246,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12244]) ).

cnf(12247,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12245]) ).

cnf(12248,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12246]) ).

cnf(12249,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12247]) ).

cnf(12250,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12248]) ).

cnf(12251,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12249]) ).

cnf(12252,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12250]) ).

cnf(12253,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12251]) ).

cnf(12254,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,12252]) ).

cnf(12255,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,12253]) ).

cnf(12256,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12254]) ).

cnf(12257,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12255]) ).

cnf(12258,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12256]) ).

cnf(12259,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12257]) ).

cnf(12260,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12258]) ).

cnf(12261,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12259]) ).

cnf(12262,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12260]) ).

cnf(12263,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12261]) ).

cnf(12264,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12262]) ).

cnf(12265,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12263]) ).

cnf(12266,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12264]) ).

cnf(12267,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12265]) ).

cnf(12268,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12266]) ).

cnf(12269,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12267]) ).

cnf(12270,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,12268]) ).

cnf(12271,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,12269]) ).

cnf(12272,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12270]) ).

cnf(12273,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12271]) ).

cnf(12274,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12272]) ).

cnf(12275,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12273]) ).

cnf(12276,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12274]) ).

cnf(12277,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12275]) ).

cnf(12278,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12276]) ).

cnf(12279,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12277]) ).

cnf(12280,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12278]) ).

cnf(12281,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12279]) ).

cnf(12282,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12280]) ).

cnf(12283,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12281]) ).

cnf(12284,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12282]) ).

cnf(12285,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12283]) ).

cnf(12286,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,12284]) ).

cnf(12287,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,12285]) ).

cnf(12288,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12286]) ).

cnf(12289,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12287]) ).

cnf(12290,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12288]) ).

cnf(12291,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12289]) ).

cnf(12292,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12290]) ).

cnf(12293,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12291]) ).

cnf(12294,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12292]) ).

cnf(12295,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12293]) ).

cnf(12296,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12294]) ).

cnf(12297,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12295]) ).

cnf(12298,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12296]) ).

cnf(12299,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12297]) ).

cnf(12300,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12298]) ).

cnf(12301,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12299]) ).

cnf(12302,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,12300]) ).

cnf(12303,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,12301]) ).

cnf(12304,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12302]) ).

cnf(12305,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12303]) ).

cnf(12306,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12304]) ).

cnf(12307,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12305]) ).

cnf(12308,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12306]) ).

cnf(12309,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12307]) ).

cnf(12310,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12308]) ).

cnf(12311,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12309]) ).

cnf(12312,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12310]) ).

cnf(12313,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12311]) ).

cnf(12314,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12312]) ).

cnf(12315,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12313]) ).

cnf(12316,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12314]) ).

cnf(12317,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12315]) ).

cnf(12318,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[14,12316]) ).

cnf(12319,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[14,12317]) ).

cnf(12320,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12318]) ).

cnf(12321,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12319]) ).

cnf(12322,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12320]) ).

cnf(12323,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12321]) ).

cnf(12324,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12322]) ).

cnf(12325,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12323]) ).

cnf(12326,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12324]) ).

cnf(12327,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12325]) ).

cnf(12328,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12326]) ).

cnf(12329,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12327]) ).

cnf(12330,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12328]) ).

cnf(12331,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12329]) ).

cnf(12332,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12330]) ).

cnf(12333,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12331]) ).

cnf(12334,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,12332]) ).

cnf(12335,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,12333]) ).

cnf(12336,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12334]) ).

cnf(12337,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12335]) ).

cnf(12338,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12336]) ).

cnf(12339,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12337]) ).

cnf(12340,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12338]) ).

cnf(12341,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12339]) ).

cnf(12342,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12340]) ).

cnf(12343,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12341]) ).

cnf(12344,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12342]) ).

cnf(12345,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12343]) ).

cnf(12346,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12344]) ).

cnf(12347,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12345]) ).

cnf(12348,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12346]) ).

cnf(12349,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12347]) ).

cnf(12350,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,12348]) ).

cnf(12351,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,12349]) ).

cnf(12352,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12350]) ).

cnf(12353,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12351]) ).

cnf(12354,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12352]) ).

cnf(12355,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12353]) ).

cnf(12356,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12354]) ).

cnf(12357,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12355]) ).

cnf(12358,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12356]) ).

cnf(12359,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12357]) ).

cnf(12360,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12358]) ).

cnf(12361,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12359]) ).

cnf(12362,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12360]) ).

cnf(12363,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12361]) ).

cnf(12364,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12362]) ).

cnf(12365,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12363]) ).

cnf(12366,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,12364]) ).

cnf(12367,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,12365]) ).

cnf(12368,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12366]) ).

cnf(12369,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12367]) ).

cnf(12370,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12368]) ).

cnf(12371,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12369]) ).

cnf(12372,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12370]) ).

cnf(12373,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12371]) ).

cnf(12374,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12372]) ).

cnf(12375,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12373]) ).

cnf(12376,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12374]) ).

cnf(12377,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12375]) ).

cnf(12378,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12376]) ).

cnf(12379,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12377]) ).

cnf(12380,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12378]) ).

cnf(12381,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12379]) ).

cnf(12382,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,12380]) ).

cnf(12383,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,12381]) ).

cnf(12384,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12382]) ).

cnf(12385,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12383]) ).

cnf(12386,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12384]) ).

cnf(12387,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12385]) ).

cnf(12388,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12386]) ).

cnf(12389,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12387]) ).

cnf(12390,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12388]) ).

cnf(12391,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12389]) ).

cnf(12392,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12390]) ).

cnf(12393,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12391]) ).

cnf(12394,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12392]) ).

cnf(12395,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12393]) ).

cnf(12396,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12394]) ).

cnf(12397,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12395]) ).

cnf(12398,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,12396]) ).

cnf(12399,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,12397]) ).

cnf(12400,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12398]) ).

cnf(12401,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12399]) ).

cnf(12402,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12400]) ).

cnf(12403,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12401]) ).

cnf(12404,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12402]) ).

cnf(12405,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12403]) ).

cnf(12406,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12404]) ).

cnf(12407,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12405]) ).

cnf(12408,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12406]) ).

cnf(12409,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12407]) ).

cnf(12410,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12408]) ).

cnf(12411,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12409]) ).

cnf(12412,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12410]) ).

cnf(12413,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12411]) ).

cnf(12414,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,12412]) ).

cnf(12415,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,12413]) ).

cnf(12416,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12414]) ).

cnf(12417,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12415]) ).

cnf(12418,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12416]) ).

cnf(12419,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12417]) ).

cnf(12420,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12418]) ).

cnf(12421,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12419]) ).

cnf(12422,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12420]) ).

cnf(12423,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12421]) ).

cnf(12424,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12422]) ).

cnf(12425,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12423]) ).

cnf(12426,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12424]) ).

cnf(12427,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12425]) ).

cnf(12428,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12426]) ).

cnf(12429,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12427]) ).

cnf(12430,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,12428]) ).

cnf(12431,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,12429]) ).

cnf(12432,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12430]) ).

cnf(12433,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12431]) ).

cnf(12434,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12432]) ).

cnf(12435,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12433]) ).

cnf(12436,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12434]) ).

cnf(12437,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12435]) ).

cnf(12438,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12436]) ).

cnf(12439,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12437]) ).

cnf(12440,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12438]) ).

cnf(12441,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12439]) ).

cnf(12442,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12440]) ).

cnf(12443,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12441]) ).

cnf(12444,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12442]) ).

cnf(12445,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12443]) ).

cnf(12446,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,12444]) ).

cnf(12447,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,12445]) ).

cnf(12448,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12446]) ).

cnf(12449,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12447]) ).

cnf(12450,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12448]) ).

cnf(12451,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12449]) ).

cnf(12452,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12450]) ).

cnf(12453,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12451]) ).

cnf(12454,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12452]) ).

cnf(12455,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12453]) ).

cnf(12456,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12454]) ).

cnf(12457,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12455]) ).

cnf(12458,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12456]) ).

cnf(12459,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12457]) ).

cnf(12460,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12458]) ).

cnf(12461,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12459]) ).

cnf(12462,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,12460]) ).

cnf(12463,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,12461]) ).

cnf(12464,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12462]) ).

cnf(12465,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12463]) ).

cnf(12466,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12464]) ).

cnf(12467,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12465]) ).

cnf(12468,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12466]) ).

cnf(12469,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12467]) ).

cnf(12470,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12468]) ).

cnf(12471,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12469]) ).

cnf(12472,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12470]) ).

cnf(12473,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12471]) ).

cnf(12474,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12472]) ).

cnf(12475,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12473]) ).

cnf(12476,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12474]) ).

cnf(12477,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12475]) ).

cnf(12478,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,12476]) ).

cnf(12479,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,12477]) ).

cnf(12480,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12478]) ).

cnf(12481,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12479]) ).

cnf(12482,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12480]) ).

cnf(12483,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12481]) ).

cnf(12484,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12482]) ).

cnf(12485,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12483]) ).

cnf(12486,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12484]) ).

cnf(12487,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12485]) ).

cnf(12488,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12486]) ).

cnf(12489,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12487]) ).

cnf(12490,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12488]) ).

cnf(12491,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12489]) ).

cnf(12492,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12490]) ).

cnf(12493,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12491]) ).

cnf(12494,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,12492]) ).

cnf(12495,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,12493]) ).

cnf(12496,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12494]) ).

cnf(12497,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12495]) ).

cnf(12498,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12496]) ).

cnf(12499,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12497]) ).

cnf(12500,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12498]) ).

cnf(12501,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12499]) ).

cnf(12502,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12500]) ).

cnf(12503,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12501]) ).

cnf(12504,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12502]) ).

cnf(12505,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12503]) ).

cnf(12506,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12504]) ).

cnf(12507,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12505]) ).

cnf(12508,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12506]) ).

cnf(12509,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12507]) ).

cnf(12510,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,12508]) ).

cnf(12511,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,12509]) ).

cnf(12512,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12510]) ).

cnf(12513,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12511]) ).

cnf(12514,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12512]) ).

cnf(12515,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12513]) ).

cnf(12516,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12514]) ).

cnf(12517,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12515]) ).

cnf(12518,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12516]) ).

cnf(12519,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12517]) ).

cnf(12520,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12518]) ).

cnf(12521,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12519]) ).

cnf(12522,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12520]) ).

cnf(12523,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12521]) ).

cnf(12524,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12522]) ).

cnf(12525,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12523]) ).

cnf(12526,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,12524]) ).

cnf(12527,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,12525]) ).

cnf(12528,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12526]) ).

cnf(12529,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12527]) ).

cnf(12530,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12528]) ).

cnf(12531,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12529]) ).

cnf(12532,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12530]) ).

cnf(12533,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12531]) ).

cnf(12534,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12532]) ).

cnf(12535,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12533]) ).

cnf(12536,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12534]) ).

cnf(12537,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12535]) ).

cnf(12538,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12536]) ).

cnf(12539,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12537]) ).

cnf(12540,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12538]) ).

cnf(12541,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12539]) ).

cnf(12542,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,12540]) ).

cnf(12543,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,12541]) ).

cnf(12544,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12542]) ).

cnf(12545,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12543]) ).

cnf(12546,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12544]) ).

cnf(12547,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12545]) ).

cnf(12548,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12546]) ).

cnf(12549,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12547]) ).

cnf(12550,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12548]) ).

cnf(12551,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12549]) ).

cnf(12552,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12550]) ).

cnf(12553,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12551]) ).

cnf(12554,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12552]) ).

cnf(12555,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12553]) ).

cnf(12556,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12554]) ).

cnf(12557,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12555]) ).

cnf(12558,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,12556]) ).

cnf(12559,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,12557]) ).

cnf(12560,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12558]) ).

cnf(12561,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12559]) ).

cnf(12562,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12560]) ).

cnf(12563,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12561]) ).

cnf(12564,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12562]) ).

cnf(12565,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12563]) ).

cnf(12566,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12564]) ).

cnf(12567,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12565]) ).

cnf(12568,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12566]) ).

cnf(12569,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12567]) ).

cnf(12570,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12568]) ).

cnf(12571,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12569]) ).

cnf(12572,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12570]) ).

cnf(12573,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12571]) ).

cnf(12574,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,12572]) ).

cnf(12575,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,12573]) ).

cnf(12576,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12574]) ).

cnf(12577,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12575]) ).

cnf(12578,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12576]) ).

cnf(12579,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12577]) ).

cnf(12580,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12578]) ).

cnf(12581,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12579]) ).

cnf(12582,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12580]) ).

cnf(12583,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12581]) ).

cnf(12584,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12582]) ).

cnf(12585,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12583]) ).

cnf(12586,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12584]) ).

cnf(12587,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12585]) ).

cnf(12588,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12586]) ).

cnf(12589,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12587]) ).

cnf(12590,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,12588]) ).

cnf(12591,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,12589]) ).

cnf(12592,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12590]) ).

cnf(12593,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12591]) ).

cnf(12594,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12592]) ).

cnf(12595,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12593]) ).

cnf(12596,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12594]) ).

cnf(12597,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12595]) ).

cnf(12598,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12596]) ).

cnf(12599,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12597]) ).

cnf(12600,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12598]) ).

cnf(12601,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12599]) ).

cnf(12602,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12600]) ).

cnf(12603,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12601]) ).

cnf(12604,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12602]) ).

cnf(12605,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12603]) ).

cnf(12606,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,12604]) ).

cnf(12607,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,12605]) ).

cnf(12608,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12606]) ).

cnf(12609,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12607]) ).

cnf(12610,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12608]) ).

cnf(12611,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12609]) ).

cnf(12612,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12610]) ).

cnf(12613,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12611]) ).

cnf(12614,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12612]) ).

cnf(12615,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12613]) ).

cnf(12616,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12614]) ).

cnf(12617,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12615]) ).

cnf(12618,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12616]) ).

cnf(12619,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12617]) ).

cnf(12620,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12618]) ).

cnf(12621,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12619]) ).

cnf(12622,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,12620]) ).

cnf(12623,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,12621]) ).

cnf(12624,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12622]) ).

cnf(12625,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12623]) ).

cnf(12626,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12624]) ).

cnf(12627,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12625]) ).

cnf(12628,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12626]) ).

cnf(12629,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12627]) ).

cnf(12630,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12628]) ).

cnf(12631,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12629]) ).

cnf(12632,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12630]) ).

cnf(12633,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12631]) ).

cnf(12634,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12632]) ).

cnf(12635,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12633]) ).

cnf(12636,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12634]) ).

cnf(12637,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12635]) ).

cnf(12638,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,12636]) ).

cnf(12639,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,12637]) ).

cnf(12640,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12638]) ).

cnf(12641,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12639]) ).

cnf(12642,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12640]) ).

cnf(12643,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12641]) ).

cnf(12644,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12642]) ).

cnf(12645,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12643]) ).

cnf(12646,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12644]) ).

cnf(12647,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12645]) ).

cnf(12648,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12646]) ).

cnf(12649,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12647]) ).

cnf(12650,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12648]) ).

cnf(12651,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12649]) ).

cnf(12652,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12650]) ).

cnf(12653,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12651]) ).

cnf(12654,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,12652]) ).

cnf(12655,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,12653]) ).

cnf(12656,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12654]) ).

cnf(12657,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12655]) ).

cnf(12658,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12656]) ).

cnf(12659,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12657]) ).

cnf(12660,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12658]) ).

cnf(12661,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12659]) ).

cnf(12662,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12660]) ).

cnf(12663,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12661]) ).

cnf(12664,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12662]) ).

cnf(12665,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12663]) ).

cnf(12666,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12664]) ).

cnf(12667,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12665]) ).

cnf(12668,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12666]) ).

cnf(12669,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12667]) ).

cnf(12670,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,12668]) ).

cnf(12671,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,12669]) ).

cnf(12672,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12670]) ).

cnf(12673,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12671]) ).

cnf(12674,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12672]) ).

cnf(12675,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12673]) ).

cnf(12676,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12674]) ).

cnf(12677,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12675]) ).

cnf(12678,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12676]) ).

cnf(12679,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12677]) ).

cnf(12680,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12678]) ).

cnf(12681,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12679]) ).

cnf(12682,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12680]) ).

cnf(12683,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12681]) ).

cnf(12684,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12682]) ).

cnf(12685,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12683]) ).

cnf(12686,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,12684]) ).

cnf(12687,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,12685]) ).

cnf(12688,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12686]) ).

cnf(12689,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12687]) ).

cnf(12690,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12688]) ).

cnf(12691,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12689]) ).

cnf(12692,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12690]) ).

cnf(12693,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12691]) ).

cnf(12694,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12692]) ).

cnf(12695,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12693]) ).

cnf(12696,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12694]) ).

cnf(12697,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12695]) ).

cnf(12698,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12696]) ).

cnf(12699,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12697]) ).

cnf(12700,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12698]) ).

cnf(12701,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12699]) ).

cnf(12702,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,12700]) ).

cnf(12703,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,12701]) ).

cnf(12704,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12702]) ).

cnf(12705,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12703]) ).

cnf(12706,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12704]) ).

cnf(12707,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12705]) ).

cnf(12708,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12706]) ).

cnf(12709,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12707]) ).

cnf(12710,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12708]) ).

cnf(12711,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12709]) ).

cnf(12712,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12710]) ).

cnf(12713,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12711]) ).

cnf(12714,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12712]) ).

cnf(12715,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12713]) ).

cnf(12716,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12714]) ).

cnf(12717,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12715]) ).

cnf(12718,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,12716]) ).

cnf(12719,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,12717]) ).

cnf(12720,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12718]) ).

cnf(12721,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12719]) ).

cnf(12722,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12720]) ).

cnf(12723,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12721]) ).

cnf(12724,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12722]) ).

cnf(12725,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12723]) ).

cnf(12726,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12724]) ).

cnf(12727,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12725]) ).

cnf(12728,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12726]) ).

cnf(12729,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12727]) ).

cnf(12730,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12728]) ).

cnf(12731,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12729]) ).

cnf(12732,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12730]) ).

cnf(12733,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12731]) ).

cnf(12734,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,12732]) ).

cnf(12735,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,12733]) ).

cnf(12736,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12734]) ).

cnf(12737,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12735]) ).

cnf(12738,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12736]) ).

cnf(12739,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12737]) ).

cnf(12740,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12738]) ).

cnf(12741,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12739]) ).

cnf(12742,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12740]) ).

cnf(12743,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12741]) ).

cnf(12744,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12742]) ).

cnf(12745,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12743]) ).

cnf(12746,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12744]) ).

cnf(12747,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12745]) ).

cnf(12748,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12746]) ).

cnf(12749,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12747]) ).

cnf(12750,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,12748]) ).

cnf(12751,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,12749]) ).

cnf(12752,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12750]) ).

cnf(12753,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12751]) ).

cnf(12754,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12752]) ).

cnf(12755,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12753]) ).

cnf(12756,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12754]) ).

cnf(12757,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12755]) ).

cnf(12758,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12756]) ).

cnf(12759,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12757]) ).

cnf(12760,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12758]) ).

cnf(12761,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12759]) ).

cnf(12762,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12760]) ).

cnf(12763,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12761]) ).

cnf(12764,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12762]) ).

cnf(12765,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12763]) ).

cnf(12766,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,12764]) ).

cnf(12767,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,12765]) ).

cnf(12768,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12766]) ).

cnf(12769,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12767]) ).

cnf(12770,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12768]) ).

cnf(12771,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12769]) ).

cnf(12772,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12770]) ).

cnf(12773,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12771]) ).

cnf(12774,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12772]) ).

cnf(12775,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12773]) ).

cnf(12776,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12774]) ).

cnf(12777,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12775]) ).

cnf(12778,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12776]) ).

cnf(12779,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12777]) ).

cnf(12780,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12778]) ).

cnf(12781,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12779]) ).

cnf(12782,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,12780]) ).

cnf(12783,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,12781]) ).

cnf(12784,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12782]) ).

cnf(12785,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12783]) ).

cnf(12786,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12784]) ).

cnf(12787,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12785]) ).

cnf(12788,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12786]) ).

cnf(12789,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12787]) ).

cnf(12790,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12788]) ).

cnf(12791,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12789]) ).

cnf(12792,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12790]) ).

cnf(12793,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12791]) ).

cnf(12794,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12792]) ).

cnf(12795,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12793]) ).

cnf(12796,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12794]) ).

cnf(12797,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12795]) ).

cnf(12798,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,12796]) ).

cnf(12799,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,12797]) ).

cnf(12800,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12798]) ).

cnf(12801,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12799]) ).

cnf(12802,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12800]) ).

cnf(12803,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12801]) ).

cnf(12804,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12802]) ).

cnf(12805,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12803]) ).

cnf(12806,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12804]) ).

cnf(12807,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12805]) ).

cnf(12808,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12806]) ).

cnf(12809,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12807]) ).

cnf(12810,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12808]) ).

cnf(12811,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12809]) ).

cnf(12812,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12810]) ).

cnf(12813,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12811]) ).

cnf(12814,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,12812]) ).

cnf(12815,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,12813]) ).

cnf(12816,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12814]) ).

cnf(12817,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12815]) ).

cnf(12818,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12816]) ).

cnf(12819,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12817]) ).

cnf(12820,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12818]) ).

cnf(12821,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12819]) ).

cnf(12822,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12820]) ).

cnf(12823,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12821]) ).

cnf(12824,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12822]) ).

cnf(12825,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12823]) ).

cnf(12826,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12824]) ).

cnf(12827,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12825]) ).

cnf(12828,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12826]) ).

cnf(12829,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12827]) ).

cnf(12830,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[11,12828]) ).

cnf(12831,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[11,12829]) ).

cnf(12832,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12830]) ).

cnf(12833,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12831]) ).

cnf(12834,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12832]) ).

cnf(12835,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12833]) ).

cnf(12836,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12834]) ).

cnf(12837,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12835]) ).

cnf(12838,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12836]) ).

cnf(12839,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12837]) ).

cnf(12840,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12838]) ).

cnf(12841,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12839]) ).

cnf(12842,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12840]) ).

cnf(12843,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12841]) ).

cnf(12844,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12842]) ).

cnf(12845,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12843]) ).

cnf(12846,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,12844]) ).

cnf(12847,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,12845]) ).

cnf(12848,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12846]) ).

cnf(12849,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12847]) ).

cnf(12850,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12848]) ).

cnf(12851,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12849]) ).

cnf(12852,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12850]) ).

cnf(12853,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12851]) ).

cnf(12854,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12852]) ).

cnf(12855,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12853]) ).

cnf(12856,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12854]) ).

cnf(12857,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12855]) ).

cnf(12858,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12856]) ).

cnf(12859,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12857]) ).

cnf(12860,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12858]) ).

cnf(12861,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12859]) ).

cnf(12862,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,12860]) ).

cnf(12863,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,12861]) ).

cnf(12864,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12862]) ).

cnf(12865,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12863]) ).

cnf(12866,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12864]) ).

cnf(12867,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12865]) ).

cnf(12868,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12866]) ).

cnf(12869,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12867]) ).

cnf(12870,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12868]) ).

cnf(12871,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12869]) ).

cnf(12872,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12870]) ).

cnf(12873,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12871]) ).

cnf(12874,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12872]) ).

cnf(12875,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12873]) ).

cnf(12876,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12874]) ).

cnf(12877,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12875]) ).

cnf(12878,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,12876]) ).

cnf(12879,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,12877]) ).

cnf(12880,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12878]) ).

cnf(12881,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12879]) ).

cnf(12882,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12880]) ).

cnf(12883,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12881]) ).

cnf(12884,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12882]) ).

cnf(12885,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12883]) ).

cnf(12886,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12884]) ).

cnf(12887,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12885]) ).

cnf(12888,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12886]) ).

cnf(12889,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12887]) ).

cnf(12890,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12888]) ).

cnf(12891,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12889]) ).

cnf(12892,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12890]) ).

cnf(12893,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12891]) ).

cnf(12894,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,12892]) ).

cnf(12895,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,12893]) ).

cnf(12896,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12894]) ).

cnf(12897,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12895]) ).

cnf(12898,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12896]) ).

cnf(12899,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12897]) ).

cnf(12900,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12898]) ).

cnf(12901,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12899]) ).

cnf(12902,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12900]) ).

cnf(12903,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12901]) ).

cnf(12904,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12902]) ).

cnf(12905,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12903]) ).

cnf(12906,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12904]) ).

cnf(12907,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12905]) ).

cnf(12908,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12906]) ).

cnf(12909,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12907]) ).

cnf(12910,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,12908]) ).

cnf(12911,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,12909]) ).

cnf(12912,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12910]) ).

cnf(12913,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12911]) ).

cnf(12914,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12912]) ).

cnf(12915,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12913]) ).

cnf(12916,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12914]) ).

cnf(12917,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12915]) ).

cnf(12918,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12916]) ).

cnf(12919,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12917]) ).

cnf(12920,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12918]) ).

cnf(12921,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12919]) ).

cnf(12922,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12920]) ).

cnf(12923,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12921]) ).

cnf(12924,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12922]) ).

cnf(12925,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12923]) ).

cnf(12926,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,12924]) ).

cnf(12927,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,12925]) ).

cnf(12928,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12926]) ).

cnf(12929,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12927]) ).

cnf(12930,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12928]) ).

cnf(12931,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12929]) ).

cnf(12932,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12930]) ).

cnf(12933,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12931]) ).

cnf(12934,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12932]) ).

cnf(12935,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12933]) ).

cnf(12936,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12934]) ).

cnf(12937,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12935]) ).

cnf(12938,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12936]) ).

cnf(12939,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12937]) ).

cnf(12940,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12938]) ).

cnf(12941,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12939]) ).

cnf(12942,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,12940]) ).

cnf(12943,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,12941]) ).

cnf(12944,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12942]) ).

cnf(12945,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12943]) ).

cnf(12946,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12944]) ).

cnf(12947,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12945]) ).

cnf(12948,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12946]) ).

cnf(12949,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12947]) ).

cnf(12950,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12948]) ).

cnf(12951,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12949]) ).

cnf(12952,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12950]) ).

cnf(12953,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12951]) ).

cnf(12954,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12952]) ).

cnf(12955,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12953]) ).

cnf(12956,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12954]) ).

cnf(12957,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12955]) ).

cnf(12958,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,12956]) ).

cnf(12959,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,12957]) ).

cnf(12960,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12958]) ).

cnf(12961,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12959]) ).

cnf(12962,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12960]) ).

cnf(12963,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12961]) ).

cnf(12964,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12962]) ).

cnf(12965,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12963]) ).

cnf(12966,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12964]) ).

cnf(12967,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12965]) ).

cnf(12968,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12966]) ).

cnf(12969,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12967]) ).

cnf(12970,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12968]) ).

cnf(12971,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12969]) ).

cnf(12972,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12970]) ).

cnf(12973,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12971]) ).

cnf(12974,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,12972]) ).

cnf(12975,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,12973]) ).

cnf(12976,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12974]) ).

cnf(12977,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12975]) ).

cnf(12978,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12976]) ).

cnf(12979,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12977]) ).

cnf(12980,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12978]) ).

cnf(12981,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12979]) ).

cnf(12982,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12980]) ).

cnf(12983,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12981]) ).

cnf(12984,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12982]) ).

cnf(12985,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12983]) ).

cnf(12986,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12984]) ).

cnf(12987,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12985]) ).

cnf(12988,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12986]) ).

cnf(12989,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12987]) ).

cnf(12990,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,12988]) ).

cnf(12991,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,12989]) ).

cnf(12992,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12990]) ).

cnf(12993,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12991]) ).

cnf(12994,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,12992]) ).

cnf(12995,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,12993]) ).

cnf(12996,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12994]) ).

cnf(12997,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12995]) ).

cnf(12998,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,12996]) ).

cnf(12999,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,12997]) ).

cnf(13000,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,12998]) ).

cnf(13001,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,12999]) ).

cnf(13002,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13000]) ).

cnf(13003,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13001]) ).

cnf(13004,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13002]) ).

cnf(13005,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13003]) ).

cnf(13006,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,13004]) ).

cnf(13007,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,13005]) ).

cnf(13008,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13006]) ).

cnf(13009,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13007]) ).

cnf(13010,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13008]) ).

cnf(13011,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13009]) ).

cnf(13012,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13010]) ).

cnf(13013,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13011]) ).

cnf(13014,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13012]) ).

cnf(13015,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13013]) ).

cnf(13016,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13014]) ).

cnf(13017,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13015]) ).

cnf(13018,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13016]) ).

cnf(13019,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13017]) ).

cnf(13020,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13018]) ).

cnf(13021,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13019]) ).

cnf(13022,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,13020]) ).

cnf(13023,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,13021]) ).

cnf(13024,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13022]) ).

cnf(13025,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13023]) ).

cnf(13026,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13024]) ).

cnf(13027,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13025]) ).

cnf(13028,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13026]) ).

cnf(13029,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13027]) ).

cnf(13030,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13028]) ).

cnf(13031,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13029]) ).

cnf(13032,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13030]) ).

cnf(13033,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13031]) ).

cnf(13034,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13032]) ).

cnf(13035,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13033]) ).

cnf(13036,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13034]) ).

cnf(13037,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13035]) ).

cnf(13038,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,13036]) ).

cnf(13039,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,13037]) ).

cnf(13040,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13038]) ).

cnf(13041,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13039]) ).

cnf(13042,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13040]) ).

cnf(13043,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13041]) ).

cnf(13044,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13042]) ).

cnf(13045,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13043]) ).

cnf(13046,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13044]) ).

cnf(13047,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13045]) ).

cnf(13048,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13046]) ).

cnf(13049,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13047]) ).

cnf(13050,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13048]) ).

cnf(13051,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13049]) ).

cnf(13052,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13050]) ).

cnf(13053,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13051]) ).

cnf(13054,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,13052]) ).

cnf(13055,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,13053]) ).

cnf(13056,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13054]) ).

cnf(13057,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13055]) ).

cnf(13058,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13056]) ).

cnf(13059,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13057]) ).

cnf(13060,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13058]) ).

cnf(13061,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13059]) ).

cnf(13062,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13060]) ).

cnf(13063,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13061]) ).

cnf(13064,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13062]) ).

cnf(13065,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13063]) ).

cnf(13066,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13064]) ).

cnf(13067,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13065]) ).

cnf(13068,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13066]) ).

cnf(13069,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13067]) ).

cnf(13070,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,13068]) ).

cnf(13071,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,13069]) ).

cnf(13072,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13070]) ).

cnf(13073,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13071]) ).

cnf(13074,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13072]) ).

cnf(13075,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13073]) ).

cnf(13076,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13074]) ).

cnf(13077,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13075]) ).

cnf(13078,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13076]) ).

cnf(13079,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13077]) ).

cnf(13080,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13078]) ).

cnf(13081,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13079]) ).

cnf(13082,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13080]) ).

cnf(13083,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13081]) ).

cnf(13084,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13082]) ).

cnf(13085,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13083]) ).

cnf(13086,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,13084]) ).

cnf(13087,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,13085]) ).

cnf(13088,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13086]) ).

cnf(13089,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13087]) ).

cnf(13090,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13088]) ).

cnf(13091,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13089]) ).

cnf(13092,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13090]) ).

cnf(13093,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13091]) ).

cnf(13094,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13092]) ).

cnf(13095,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13093]) ).

cnf(13096,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13094]) ).

cnf(13097,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13095]) ).

cnf(13098,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13096]) ).

cnf(13099,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13097]) ).

cnf(13100,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13098]) ).

cnf(13101,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13099]) ).

cnf(13102,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,13100]) ).

cnf(13103,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,13101]) ).

cnf(13104,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13102]) ).

cnf(13105,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13103]) ).

cnf(13106,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13104]) ).

cnf(13107,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13105]) ).

cnf(13108,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13106]) ).

cnf(13109,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13107]) ).

cnf(13110,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13108]) ).

cnf(13111,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13109]) ).

cnf(13112,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13110]) ).

cnf(13113,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13111]) ).

cnf(13114,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13112]) ).

cnf(13115,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13113]) ).

cnf(13116,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13114]) ).

cnf(13117,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13115]) ).

cnf(13118,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,13116]) ).

cnf(13119,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,13117]) ).

cnf(13120,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13118]) ).

cnf(13121,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13119]) ).

cnf(13122,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13120]) ).

cnf(13123,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13121]) ).

cnf(13124,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13122]) ).

cnf(13125,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13123]) ).

cnf(13126,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13124]) ).

cnf(13127,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13125]) ).

cnf(13128,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13126]) ).

cnf(13129,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13127]) ).

cnf(13130,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13128]) ).

cnf(13131,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13129]) ).

cnf(13132,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13130]) ).

cnf(13133,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13131]) ).

cnf(13134,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,13132]) ).

cnf(13135,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,13133]) ).

cnf(13136,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13134]) ).

cnf(13137,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13135]) ).

cnf(13138,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13136]) ).

cnf(13139,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13137]) ).

cnf(13140,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13138]) ).

cnf(13141,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13139]) ).

cnf(13142,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13140]) ).

cnf(13143,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13141]) ).

cnf(13144,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13142]) ).

cnf(13145,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13143]) ).

cnf(13146,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13144]) ).

cnf(13147,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13145]) ).

cnf(13148,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13146]) ).

cnf(13149,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13147]) ).

cnf(13150,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,13148]) ).

cnf(13151,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,13149]) ).

cnf(13152,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13150]) ).

cnf(13153,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13151]) ).

cnf(13154,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13152]) ).

cnf(13155,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13153]) ).

cnf(13156,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13154]) ).

cnf(13157,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13155]) ).

cnf(13158,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13156]) ).

cnf(13159,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13157]) ).

cnf(13160,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13158]) ).

cnf(13161,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13159]) ).

cnf(13162,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13160]) ).

cnf(13163,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13161]) ).

cnf(13164,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13162]) ).

cnf(13165,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13163]) ).

cnf(13166,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,13164]) ).

cnf(13167,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,13165]) ).

cnf(13168,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13166]) ).

cnf(13169,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13167]) ).

cnf(13170,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13168]) ).

cnf(13171,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13169]) ).

cnf(13172,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13170]) ).

cnf(13173,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13171]) ).

cnf(13174,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13172]) ).

cnf(13175,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13173]) ).

cnf(13176,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13174]) ).

cnf(13177,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13175]) ).

cnf(13178,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13176]) ).

cnf(13179,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13177]) ).

cnf(13180,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13178]) ).

cnf(13181,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13179]) ).

cnf(13182,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,13180]) ).

cnf(13183,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,13181]) ).

cnf(13184,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13182]) ).

cnf(13185,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13183]) ).

cnf(13186,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13184]) ).

cnf(13187,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13185]) ).

cnf(13188,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13186]) ).

cnf(13189,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13187]) ).

cnf(13190,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13188]) ).

cnf(13191,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13189]) ).

cnf(13192,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13190]) ).

cnf(13193,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13191]) ).

cnf(13194,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13192]) ).

cnf(13195,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13193]) ).

cnf(13196,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13194]) ).

cnf(13197,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13195]) ).

cnf(13198,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,13196]) ).

cnf(13199,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,13197]) ).

cnf(13200,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13198]) ).

cnf(13201,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13199]) ).

cnf(13202,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13200]) ).

cnf(13203,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13201]) ).

cnf(13204,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13202]) ).

cnf(13205,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13203]) ).

cnf(13206,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13204]) ).

cnf(13207,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13205]) ).

cnf(13208,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13206]) ).

cnf(13209,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13207]) ).

cnf(13210,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13208]) ).

cnf(13211,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13209]) ).

cnf(13212,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13210]) ).

cnf(13213,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13211]) ).

cnf(13214,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,13212]) ).

cnf(13215,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,13213]) ).

cnf(13216,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13214]) ).

cnf(13217,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13215]) ).

cnf(13218,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13216]) ).

cnf(13219,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13217]) ).

cnf(13220,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13218]) ).

cnf(13221,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13219]) ).

cnf(13222,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13220]) ).

cnf(13223,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13221]) ).

cnf(13224,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13222]) ).

cnf(13225,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13223]) ).

cnf(13226,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13224]) ).

cnf(13227,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13225]) ).

cnf(13228,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13226]) ).

cnf(13229,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13227]) ).

cnf(13230,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,13228]) ).

cnf(13231,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,13229]) ).

cnf(13232,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13230]) ).

cnf(13233,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13231]) ).

cnf(13234,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13232]) ).

cnf(13235,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13233]) ).

cnf(13236,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13234]) ).

cnf(13237,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13235]) ).

cnf(13238,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13236]) ).

cnf(13239,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13237]) ).

cnf(13240,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13238]) ).

cnf(13241,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13239]) ).

cnf(13242,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13240]) ).

cnf(13243,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13241]) ).

cnf(13244,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13242]) ).

cnf(13245,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13243]) ).

cnf(13246,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,13244]) ).

cnf(13247,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,13245]) ).

cnf(13248,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13246]) ).

cnf(13249,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13247]) ).

cnf(13250,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13248]) ).

cnf(13251,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13249]) ).

cnf(13252,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13250]) ).

cnf(13253,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13251]) ).

cnf(13254,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13252]) ).

cnf(13255,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13253]) ).

cnf(13256,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13254]) ).

cnf(13257,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13255]) ).

cnf(13258,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13256]) ).

cnf(13259,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13257]) ).

cnf(13260,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13258]) ).

cnf(13261,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13259]) ).

cnf(13262,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,13260]) ).

cnf(13263,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,13261]) ).

cnf(13264,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13262]) ).

cnf(13265,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13263]) ).

cnf(13266,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13264]) ).

cnf(13267,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13265]) ).

cnf(13268,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13266]) ).

cnf(13269,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13267]) ).

cnf(13270,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13268]) ).

cnf(13271,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13269]) ).

cnf(13272,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13270]) ).

cnf(13273,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13271]) ).

cnf(13274,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13272]) ).

cnf(13275,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13273]) ).

cnf(13276,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13274]) ).

cnf(13277,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13275]) ).

cnf(13278,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,13276]) ).

cnf(13279,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,13277]) ).

cnf(13280,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13278]) ).

cnf(13281,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13279]) ).

cnf(13282,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13280]) ).

cnf(13283,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13281]) ).

cnf(13284,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13282]) ).

cnf(13285,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13283]) ).

cnf(13286,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13284]) ).

cnf(13287,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13285]) ).

cnf(13288,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13286]) ).

cnf(13289,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13287]) ).

cnf(13290,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13288]) ).

cnf(13291,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13289]) ).

cnf(13292,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13290]) ).

cnf(13293,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13291]) ).

cnf(13294,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,13292]) ).

cnf(13295,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,13293]) ).

cnf(13296,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13294]) ).

cnf(13297,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13295]) ).

cnf(13298,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13296]) ).

cnf(13299,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13297]) ).

cnf(13300,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13298]) ).

cnf(13301,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13299]) ).

cnf(13302,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13300]) ).

cnf(13303,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13301]) ).

cnf(13304,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13302]) ).

cnf(13305,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13303]) ).

cnf(13306,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13304]) ).

cnf(13307,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13305]) ).

cnf(13308,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13306]) ).

cnf(13309,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13307]) ).

cnf(13310,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,13308]) ).

cnf(13311,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,13309]) ).

cnf(13312,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13310]) ).

cnf(13313,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13311]) ).

cnf(13314,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13312]) ).

cnf(13315,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13313]) ).

cnf(13316,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13314]) ).

cnf(13317,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13315]) ).

cnf(13318,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13316]) ).

cnf(13319,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13317]) ).

cnf(13320,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13318]) ).

cnf(13321,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13319]) ).

cnf(13322,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13320]) ).

cnf(13323,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13321]) ).

cnf(13324,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13322]) ).

cnf(13325,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13323]) ).

cnf(13326,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,13324]) ).

cnf(13327,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,13325]) ).

cnf(13328,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13326]) ).

cnf(13329,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13327]) ).

cnf(13330,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13328]) ).

cnf(13331,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13329]) ).

cnf(13332,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13330]) ).

cnf(13333,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13331]) ).

cnf(13334,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13332]) ).

cnf(13335,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13333]) ).

cnf(13336,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13334]) ).

cnf(13337,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13335]) ).

cnf(13338,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13336]) ).

cnf(13339,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13337]) ).

cnf(13340,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13338]) ).

cnf(13341,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13339]) ).

cnf(13342,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[12,13340]) ).

cnf(13343,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[12,13341]) ).

cnf(13344,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13342]) ).

cnf(13345,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13343]) ).

cnf(13346,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13344]) ).

cnf(13347,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13345]) ).

cnf(13348,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13346]) ).

cnf(13349,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13347]) ).

cnf(13350,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13348]) ).

cnf(13351,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13349]) ).

cnf(13352,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13350]) ).

cnf(13353,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13351]) ).

cnf(13354,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13352]) ).

cnf(13355,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13353]) ).

cnf(13356,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13354]) ).

cnf(13357,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13355]) ).

cnf(13358,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,13356]) ).

cnf(13359,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,13357]) ).

cnf(13360,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13358]) ).

cnf(13361,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13359]) ).

cnf(13362,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13360]) ).

cnf(13363,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13361]) ).

cnf(13364,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13362]) ).

cnf(13365,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13363]) ).

cnf(13366,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13364]) ).

cnf(13367,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13365]) ).

cnf(13368,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13366]) ).

cnf(13369,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13367]) ).

cnf(13370,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13368]) ).

cnf(13371,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13369]) ).

cnf(13372,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13370]) ).

cnf(13373,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13371]) ).

cnf(13374,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,13372]) ).

cnf(13375,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,13373]) ).

cnf(13376,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13374]) ).

cnf(13377,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13375]) ).

cnf(13378,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13376]) ).

cnf(13379,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13377]) ).

cnf(13380,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13378]) ).

cnf(13381,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13379]) ).

cnf(13382,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13380]) ).

cnf(13383,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13381]) ).

cnf(13384,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13382]) ).

cnf(13385,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13383]) ).

cnf(13386,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13384]) ).

cnf(13387,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13385]) ).

cnf(13388,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13386]) ).

cnf(13389,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13387]) ).

cnf(13390,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,13388]) ).

cnf(13391,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,13389]) ).

cnf(13392,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13390]) ).

cnf(13393,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13391]) ).

cnf(13394,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13392]) ).

cnf(13395,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13393]) ).

cnf(13396,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13394]) ).

cnf(13397,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13395]) ).

cnf(13398,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13396]) ).

cnf(13399,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13397]) ).

cnf(13400,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13398]) ).

cnf(13401,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13399]) ).

cnf(13402,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13400]) ).

cnf(13403,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13401]) ).

cnf(13404,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13402]) ).

cnf(13405,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13403]) ).

cnf(13406,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,13404]) ).

cnf(13407,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,13405]) ).

cnf(13408,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13406]) ).

cnf(13409,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13407]) ).

cnf(13410,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13408]) ).

cnf(13411,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13409]) ).

cnf(13412,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13410]) ).

cnf(13413,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13411]) ).

cnf(13414,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13412]) ).

cnf(13415,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13413]) ).

cnf(13416,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13414]) ).

cnf(13417,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13415]) ).

cnf(13418,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13416]) ).

cnf(13419,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13417]) ).

cnf(13420,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13418]) ).

cnf(13421,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13419]) ).

cnf(13422,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,13420]) ).

cnf(13423,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,13421]) ).

cnf(13424,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13422]) ).

cnf(13425,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13423]) ).

cnf(13426,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13424]) ).

cnf(13427,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13425]) ).

cnf(13428,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13426]) ).

cnf(13429,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13427]) ).

cnf(13430,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13428]) ).

cnf(13431,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13429]) ).

cnf(13432,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13430]) ).

cnf(13433,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13431]) ).

cnf(13434,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13432]) ).

cnf(13435,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13433]) ).

cnf(13436,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13434]) ).

cnf(13437,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13435]) ).

cnf(13438,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,13436]) ).

cnf(13439,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,13437]) ).

cnf(13440,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13438]) ).

cnf(13441,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13439]) ).

cnf(13442,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13440]) ).

cnf(13443,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13441]) ).

cnf(13444,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13442]) ).

cnf(13445,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13443]) ).

cnf(13446,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13444]) ).

cnf(13447,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13445]) ).

cnf(13448,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13446]) ).

cnf(13449,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13447]) ).

cnf(13450,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13448]) ).

cnf(13451,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13449]) ).

cnf(13452,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13450]) ).

cnf(13453,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13451]) ).

cnf(13454,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,13452]) ).

cnf(13455,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,13453]) ).

cnf(13456,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13454]) ).

cnf(13457,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13455]) ).

cnf(13458,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13456]) ).

cnf(13459,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13457]) ).

cnf(13460,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13458]) ).

cnf(13461,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13459]) ).

cnf(13462,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13460]) ).

cnf(13463,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13461]) ).

cnf(13464,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13462]) ).

cnf(13465,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13463]) ).

cnf(13466,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13464]) ).

cnf(13467,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13465]) ).

cnf(13468,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13466]) ).

cnf(13469,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13467]) ).

cnf(13470,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,13468]) ).

cnf(13471,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,13469]) ).

cnf(13472,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13470]) ).

cnf(13473,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13471]) ).

cnf(13474,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13472]) ).

cnf(13475,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13473]) ).

cnf(13476,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13474]) ).

cnf(13477,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13475]) ).

cnf(13478,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13476]) ).

cnf(13479,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13477]) ).

cnf(13480,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13478]) ).

cnf(13481,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13479]) ).

cnf(13482,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13480]) ).

cnf(13483,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13481]) ).

cnf(13484,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13482]) ).

cnf(13485,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13483]) ).

cnf(13486,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,13484]) ).

cnf(13487,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,13485]) ).

cnf(13488,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13486]) ).

cnf(13489,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13487]) ).

cnf(13490,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13488]) ).

cnf(13491,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13489]) ).

cnf(13492,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13490]) ).

cnf(13493,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13491]) ).

cnf(13494,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13492]) ).

cnf(13495,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13493]) ).

cnf(13496,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13494]) ).

cnf(13497,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13495]) ).

cnf(13498,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13496]) ).

cnf(13499,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13497]) ).

cnf(13500,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13498]) ).

cnf(13501,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13499]) ).

cnf(13502,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,13500]) ).

cnf(13503,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,13501]) ).

cnf(13504,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13502]) ).

cnf(13505,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13503]) ).

cnf(13506,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13504]) ).

cnf(13507,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13505]) ).

cnf(13508,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13506]) ).

cnf(13509,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13507]) ).

cnf(13510,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13508]) ).

cnf(13511,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13509]) ).

cnf(13512,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13510]) ).

cnf(13513,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13511]) ).

cnf(13514,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13512]) ).

cnf(13515,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13513]) ).

cnf(13516,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13514]) ).

cnf(13517,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13515]) ).

cnf(13518,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,13516]) ).

cnf(13519,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,13517]) ).

cnf(13520,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13518]) ).

cnf(13521,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13519]) ).

cnf(13522,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13520]) ).

cnf(13523,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13521]) ).

cnf(13524,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13522]) ).

cnf(13525,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13523]) ).

cnf(13526,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13524]) ).

cnf(13527,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13525]) ).

cnf(13528,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13526]) ).

cnf(13529,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13527]) ).

cnf(13530,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13528]) ).

cnf(13531,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13529]) ).

cnf(13532,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13530]) ).

cnf(13533,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13531]) ).

cnf(13534,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,13532]) ).

cnf(13535,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,13533]) ).

cnf(13536,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13534]) ).

cnf(13537,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13535]) ).

cnf(13538,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13536]) ).

cnf(13539,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13537]) ).

cnf(13540,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13538]) ).

cnf(13541,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13539]) ).

cnf(13542,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13540]) ).

cnf(13543,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13541]) ).

cnf(13544,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13542]) ).

cnf(13545,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13543]) ).

cnf(13546,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13544]) ).

cnf(13547,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13545]) ).

cnf(13548,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13546]) ).

cnf(13549,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13547]) ).

cnf(13550,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,13548]) ).

cnf(13551,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,13549]) ).

cnf(13552,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13550]) ).

cnf(13553,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13551]) ).

cnf(13554,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13552]) ).

cnf(13555,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13553]) ).

cnf(13556,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13554]) ).

cnf(13557,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13555]) ).

cnf(13558,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13556]) ).

cnf(13559,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13557]) ).

cnf(13560,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13558]) ).

cnf(13561,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13559]) ).

cnf(13562,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13560]) ).

cnf(13563,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13561]) ).

cnf(13564,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13562]) ).

cnf(13565,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13563]) ).

cnf(13566,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,13564]) ).

cnf(13567,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,13565]) ).

cnf(13568,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13566]) ).

cnf(13569,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13567]) ).

cnf(13570,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13568]) ).

cnf(13571,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13569]) ).

cnf(13572,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13570]) ).

cnf(13573,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13571]) ).

cnf(13574,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13572]) ).

cnf(13575,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13573]) ).

cnf(13576,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13574]) ).

cnf(13577,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13575]) ).

cnf(13578,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13576]) ).

cnf(13579,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13577]) ).

cnf(13580,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13578]) ).

cnf(13581,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13579]) ).

cnf(13582,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,13580]) ).

cnf(13583,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,13581]) ).

cnf(13584,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13582]) ).

cnf(13585,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13583]) ).

cnf(13586,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13584]) ).

cnf(13587,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13585]) ).

cnf(13588,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13586]) ).

cnf(13589,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13587]) ).

cnf(13590,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13588]) ).

cnf(13591,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13589]) ).

cnf(13592,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13590]) ).

cnf(13593,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13591]) ).

cnf(13594,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13592]) ).

cnf(13595,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13593]) ).

cnf(13596,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13594]) ).

cnf(13597,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13595]) ).

cnf(13598,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,13596]) ).

cnf(13599,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,13597]) ).

cnf(13600,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13598]) ).

cnf(13601,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13599]) ).

cnf(13602,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13600]) ).

cnf(13603,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13601]) ).

cnf(13604,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13602]) ).

cnf(13605,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13603]) ).

cnf(13606,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13604]) ).

cnf(13607,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13605]) ).

cnf(13608,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13606]) ).

cnf(13609,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13607]) ).

cnf(13610,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13608]) ).

cnf(13611,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13609]) ).

cnf(13612,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13610]) ).

cnf(13613,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13611]) ).

cnf(13614,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,13612]) ).

cnf(13615,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,13613]) ).

cnf(13616,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13614]) ).

cnf(13617,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13615]) ).

cnf(13618,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13616]) ).

cnf(13619,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13617]) ).

cnf(13620,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13618]) ).

cnf(13621,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13619]) ).

cnf(13622,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13620]) ).

cnf(13623,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13621]) ).

cnf(13624,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13622]) ).

cnf(13625,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13623]) ).

cnf(13626,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13624]) ).

cnf(13627,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13625]) ).

cnf(13628,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13626]) ).

cnf(13629,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13627]) ).

cnf(13630,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,13628]) ).

cnf(13631,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,13629]) ).

cnf(13632,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13630]) ).

cnf(13633,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13631]) ).

cnf(13634,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13632]) ).

cnf(13635,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13633]) ).

cnf(13636,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13634]) ).

cnf(13637,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13635]) ).

cnf(13638,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13636]) ).

cnf(13639,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13637]) ).

cnf(13640,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13638]) ).

cnf(13641,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13639]) ).

cnf(13642,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13640]) ).

cnf(13643,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13641]) ).

cnf(13644,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13642]) ).

cnf(13645,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13643]) ).

cnf(13646,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,13644]) ).

cnf(13647,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,13645]) ).

cnf(13648,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13646]) ).

cnf(13649,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13647]) ).

cnf(13650,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13648]) ).

cnf(13651,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13649]) ).

cnf(13652,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13650]) ).

cnf(13653,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13651]) ).

cnf(13654,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13652]) ).

cnf(13655,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13653]) ).

cnf(13656,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13654]) ).

cnf(13657,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13655]) ).

cnf(13658,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13656]) ).

cnf(13659,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13657]) ).

cnf(13660,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13658]) ).

cnf(13661,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13659]) ).

cnf(13662,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,13660]) ).

cnf(13663,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,13661]) ).

cnf(13664,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13662]) ).

cnf(13665,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13663]) ).

cnf(13666,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13664]) ).

cnf(13667,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13665]) ).

cnf(13668,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13666]) ).

cnf(13669,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13667]) ).

cnf(13670,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13668]) ).

cnf(13671,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13669]) ).

cnf(13672,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13670]) ).

cnf(13673,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13671]) ).

cnf(13674,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13672]) ).

cnf(13675,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13673]) ).

cnf(13676,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13674]) ).

cnf(13677,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13675]) ).

cnf(13678,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,13676]) ).

cnf(13679,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,13677]) ).

cnf(13680,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13678]) ).

cnf(13681,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13679]) ).

cnf(13682,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13680]) ).

cnf(13683,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13681]) ).

cnf(13684,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13682]) ).

cnf(13685,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13683]) ).

cnf(13686,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13684]) ).

cnf(13687,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13685]) ).

cnf(13688,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13686]) ).

cnf(13689,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13687]) ).

cnf(13690,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13688]) ).

cnf(13691,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13689]) ).

cnf(13692,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13690]) ).

cnf(13693,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13691]) ).

cnf(13694,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,13692]) ).

cnf(13695,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,13693]) ).

cnf(13696,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13694]) ).

cnf(13697,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13695]) ).

cnf(13698,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13696]) ).

cnf(13699,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13697]) ).

cnf(13700,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13698]) ).

cnf(13701,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13699]) ).

cnf(13702,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13700]) ).

cnf(13703,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13701]) ).

cnf(13704,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13702]) ).

cnf(13705,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13703]) ).

cnf(13706,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13704]) ).

cnf(13707,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13705]) ).

cnf(13708,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13706]) ).

cnf(13709,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13707]) ).

cnf(13710,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,13708]) ).

cnf(13711,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,13709]) ).

cnf(13712,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13710]) ).

cnf(13713,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13711]) ).

cnf(13714,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13712]) ).

cnf(13715,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13713]) ).

cnf(13716,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13714]) ).

cnf(13717,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13715]) ).

cnf(13718,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13716]) ).

cnf(13719,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13717]) ).

cnf(13720,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13718]) ).

cnf(13721,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13719]) ).

cnf(13722,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13720]) ).

cnf(13723,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13721]) ).

cnf(13724,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13722]) ).

cnf(13725,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13723]) ).

cnf(13726,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,13724]) ).

cnf(13727,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,13725]) ).

cnf(13728,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13726]) ).

cnf(13729,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13727]) ).

cnf(13730,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13728]) ).

cnf(13731,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13729]) ).

cnf(13732,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13730]) ).

cnf(13733,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13731]) ).

cnf(13734,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13732]) ).

cnf(13735,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13733]) ).

cnf(13736,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13734]) ).

cnf(13737,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13735]) ).

cnf(13738,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13736]) ).

cnf(13739,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13737]) ).

cnf(13740,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13738]) ).

cnf(13741,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13739]) ).

cnf(13742,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,13740]) ).

cnf(13743,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,13741]) ).

cnf(13744,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13742]) ).

cnf(13745,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13743]) ).

cnf(13746,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13744]) ).

cnf(13747,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13745]) ).

cnf(13748,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13746]) ).

cnf(13749,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13747]) ).

cnf(13750,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13748]) ).

cnf(13751,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13749]) ).

cnf(13752,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13750]) ).

cnf(13753,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13751]) ).

cnf(13754,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13752]) ).

cnf(13755,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13753]) ).

cnf(13756,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13754]) ).

cnf(13757,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13755]) ).

cnf(13758,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,13756]) ).

cnf(13759,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,13757]) ).

cnf(13760,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13758]) ).

cnf(13761,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13759]) ).

cnf(13762,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13760]) ).

cnf(13763,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13761]) ).

cnf(13764,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13762]) ).

cnf(13765,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13763]) ).

cnf(13766,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13764]) ).

cnf(13767,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13765]) ).

cnf(13768,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13766]) ).

cnf(13769,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13767]) ).

cnf(13770,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13768]) ).

cnf(13771,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13769]) ).

cnf(13772,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13770]) ).

cnf(13773,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13771]) ).

cnf(13774,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,13772]) ).

cnf(13775,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,13773]) ).

cnf(13776,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13774]) ).

cnf(13777,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13775]) ).

cnf(13778,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13776]) ).

cnf(13779,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13777]) ).

cnf(13780,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13778]) ).

cnf(13781,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13779]) ).

cnf(13782,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13780]) ).

cnf(13783,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13781]) ).

cnf(13784,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13782]) ).

cnf(13785,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13783]) ).

cnf(13786,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13784]) ).

cnf(13787,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13785]) ).

cnf(13788,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13786]) ).

cnf(13789,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13787]) ).

cnf(13790,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,13788]) ).

cnf(13791,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,13789]) ).

cnf(13792,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13790]) ).

cnf(13793,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13791]) ).

cnf(13794,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13792]) ).

cnf(13795,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13793]) ).

cnf(13796,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13794]) ).

cnf(13797,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13795]) ).

cnf(13798,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13796]) ).

cnf(13799,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13797]) ).

cnf(13800,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13798]) ).

cnf(13801,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13799]) ).

cnf(13802,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13800]) ).

cnf(13803,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13801]) ).

cnf(13804,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13802]) ).

cnf(13805,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13803]) ).

cnf(13806,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,13804]) ).

cnf(13807,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,13805]) ).

cnf(13808,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13806]) ).

cnf(13809,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13807]) ).

cnf(13810,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13808]) ).

cnf(13811,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13809]) ).

cnf(13812,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13810]) ).

cnf(13813,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13811]) ).

cnf(13814,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13812]) ).

cnf(13815,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13813]) ).

cnf(13816,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13814]) ).

cnf(13817,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13815]) ).

cnf(13818,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13816]) ).

cnf(13819,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13817]) ).

cnf(13820,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13818]) ).

cnf(13821,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13819]) ).

cnf(13822,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,13820]) ).

cnf(13823,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,13821]) ).

cnf(13824,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13822]) ).

cnf(13825,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13823]) ).

cnf(13826,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13824]) ).

cnf(13827,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13825]) ).

cnf(13828,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13826]) ).

cnf(13829,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13827]) ).

cnf(13830,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13828]) ).

cnf(13831,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13829]) ).

cnf(13832,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13830]) ).

cnf(13833,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13831]) ).

cnf(13834,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13832]) ).

cnf(13835,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13833]) ).

cnf(13836,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13834]) ).

cnf(13837,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13835]) ).

cnf(13838,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,13836]) ).

cnf(13839,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,13837]) ).

cnf(13840,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13838]) ).

cnf(13841,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13839]) ).

cnf(13842,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13840]) ).

cnf(13843,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13841]) ).

cnf(13844,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13842]) ).

cnf(13845,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13843]) ).

cnf(13846,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13844]) ).

cnf(13847,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13845]) ).

cnf(13848,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13846]) ).

cnf(13849,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13847]) ).

cnf(13850,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13848]) ).

cnf(13851,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13849]) ).

cnf(13852,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13850]) ).

cnf(13853,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13851]) ).

cnf(13854,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[11,13852]) ).

cnf(13855,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[11,13853]) ).

cnf(13856,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13854]) ).

cnf(13857,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13855]) ).

cnf(13858,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13856]) ).

cnf(13859,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13857]) ).

cnf(13860,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13858]) ).

cnf(13861,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13859]) ).

cnf(13862,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13860]) ).

cnf(13863,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13861]) ).

cnf(13864,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13862]) ).

cnf(13865,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13863]) ).

cnf(13866,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13864]) ).

cnf(13867,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13865]) ).

cnf(13868,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13866]) ).

cnf(13869,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13867]) ).

cnf(13870,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,13868]) ).

cnf(13871,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,13869]) ).

cnf(13872,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13870]) ).

cnf(13873,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13871]) ).

cnf(13874,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13872]) ).

cnf(13875,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13873]) ).

cnf(13876,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13874]) ).

cnf(13877,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13875]) ).

cnf(13878,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13876]) ).

cnf(13879,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13877]) ).

cnf(13880,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13878]) ).

cnf(13881,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13879]) ).

cnf(13882,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13880]) ).

cnf(13883,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13881]) ).

cnf(13884,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13882]) ).

cnf(13885,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13883]) ).

cnf(13886,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,13884]) ).

cnf(13887,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,13885]) ).

cnf(13888,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13886]) ).

cnf(13889,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13887]) ).

cnf(13890,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13888]) ).

cnf(13891,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13889]) ).

cnf(13892,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13890]) ).

cnf(13893,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13891]) ).

cnf(13894,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13892]) ).

cnf(13895,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13893]) ).

cnf(13896,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13894]) ).

cnf(13897,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13895]) ).

cnf(13898,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13896]) ).

cnf(13899,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13897]) ).

cnf(13900,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13898]) ).

cnf(13901,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13899]) ).

cnf(13902,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,13900]) ).

cnf(13903,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,13901]) ).

cnf(13904,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13902]) ).

cnf(13905,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13903]) ).

cnf(13906,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13904]) ).

cnf(13907,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13905]) ).

cnf(13908,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13906]) ).

cnf(13909,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13907]) ).

cnf(13910,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13908]) ).

cnf(13911,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13909]) ).

cnf(13912,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13910]) ).

cnf(13913,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13911]) ).

cnf(13914,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13912]) ).

cnf(13915,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13913]) ).

cnf(13916,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13914]) ).

cnf(13917,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13915]) ).

cnf(13918,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,13916]) ).

cnf(13919,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,13917]) ).

cnf(13920,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13918]) ).

cnf(13921,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13919]) ).

cnf(13922,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13920]) ).

cnf(13923,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13921]) ).

cnf(13924,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13922]) ).

cnf(13925,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13923]) ).

cnf(13926,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13924]) ).

cnf(13927,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13925]) ).

cnf(13928,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13926]) ).

cnf(13929,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13927]) ).

cnf(13930,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13928]) ).

cnf(13931,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13929]) ).

cnf(13932,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13930]) ).

cnf(13933,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13931]) ).

cnf(13934,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,13932]) ).

cnf(13935,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,13933]) ).

cnf(13936,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13934]) ).

cnf(13937,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13935]) ).

cnf(13938,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13936]) ).

cnf(13939,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13937]) ).

cnf(13940,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13938]) ).

cnf(13941,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13939]) ).

cnf(13942,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13940]) ).

cnf(13943,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13941]) ).

cnf(13944,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13942]) ).

cnf(13945,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13943]) ).

cnf(13946,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13944]) ).

cnf(13947,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13945]) ).

cnf(13948,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13946]) ).

cnf(13949,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13947]) ).

cnf(13950,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,13948]) ).

cnf(13951,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,13949]) ).

cnf(13952,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13950]) ).

cnf(13953,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13951]) ).

cnf(13954,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13952]) ).

cnf(13955,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13953]) ).

cnf(13956,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13954]) ).

cnf(13957,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13955]) ).

cnf(13958,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13956]) ).

cnf(13959,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13957]) ).

cnf(13960,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13958]) ).

cnf(13961,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13959]) ).

cnf(13962,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13960]) ).

cnf(13963,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13961]) ).

cnf(13964,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13962]) ).

cnf(13965,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13963]) ).

cnf(13966,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,13964]) ).

cnf(13967,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,13965]) ).

cnf(13968,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13966]) ).

cnf(13969,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13967]) ).

cnf(13970,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13968]) ).

cnf(13971,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13969]) ).

cnf(13972,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13970]) ).

cnf(13973,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13971]) ).

cnf(13974,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13972]) ).

cnf(13975,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13973]) ).

cnf(13976,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13974]) ).

cnf(13977,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13975]) ).

cnf(13978,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13976]) ).

cnf(13979,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13977]) ).

cnf(13980,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13978]) ).

cnf(13981,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13979]) ).

cnf(13982,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,13980]) ).

cnf(13983,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,13981]) ).

cnf(13984,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13982]) ).

cnf(13985,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13983]) ).

cnf(13986,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13984]) ).

cnf(13987,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13985]) ).

cnf(13988,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13986]) ).

cnf(13989,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13987]) ).

cnf(13990,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,13988]) ).

cnf(13991,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,13989]) ).

cnf(13992,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13990]) ).

cnf(13993,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13991]) ).

cnf(13994,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,13992]) ).

cnf(13995,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,13993]) ).

cnf(13996,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13994]) ).

cnf(13997,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13995]) ).

cnf(13998,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,13996]) ).

cnf(13999,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,13997]) ).

cnf(14000,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,13998]) ).

cnf(14001,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,13999]) ).

cnf(14002,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14000]) ).

cnf(14003,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14001]) ).

cnf(14004,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14002]) ).

cnf(14005,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14003]) ).

cnf(14006,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14004]) ).

cnf(14007,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14005]) ).

cnf(14008,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14006]) ).

cnf(14009,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14007]) ).

cnf(14010,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14008]) ).

cnf(14011,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14009]) ).

cnf(14012,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14010]) ).

cnf(14013,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14011]) ).

cnf(14014,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,14012]) ).

cnf(14015,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,14013]) ).

cnf(14016,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14014]) ).

cnf(14017,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14015]) ).

cnf(14018,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14016]) ).

cnf(14019,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14017]) ).

cnf(14020,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14018]) ).

cnf(14021,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14019]) ).

cnf(14022,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14020]) ).

cnf(14023,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14021]) ).

cnf(14024,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14022]) ).

cnf(14025,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14023]) ).

cnf(14026,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14024]) ).

cnf(14027,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14025]) ).

cnf(14028,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14026]) ).

cnf(14029,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14027]) ).

cnf(14030,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,14028]) ).

cnf(14031,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,14029]) ).

cnf(14032,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14030]) ).

cnf(14033,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14031]) ).

cnf(14034,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14032]) ).

cnf(14035,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14033]) ).

cnf(14036,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14034]) ).

cnf(14037,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14035]) ).

cnf(14038,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14036]) ).

cnf(14039,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14037]) ).

cnf(14040,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14038]) ).

cnf(14041,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14039]) ).

cnf(14042,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14040]) ).

cnf(14043,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14041]) ).

cnf(14044,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14042]) ).

cnf(14045,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14043]) ).

cnf(14046,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,14044]) ).

cnf(14047,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,14045]) ).

cnf(14048,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14046]) ).

cnf(14049,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14047]) ).

cnf(14050,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14048]) ).

cnf(14051,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14049]) ).

cnf(14052,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14050]) ).

cnf(14053,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14051]) ).

cnf(14054,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14052]) ).

cnf(14055,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14053]) ).

cnf(14056,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14054]) ).

cnf(14057,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14055]) ).

cnf(14058,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14056]) ).

cnf(14059,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14057]) ).

cnf(14060,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14058]) ).

cnf(14061,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14059]) ).

cnf(14062,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,14060]) ).

cnf(14063,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,14061]) ).

cnf(14064,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14062]) ).

cnf(14065,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14063]) ).

cnf(14066,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14064]) ).

cnf(14067,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14065]) ).

cnf(14068,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14066]) ).

cnf(14069,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14067]) ).

cnf(14070,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14068]) ).

cnf(14071,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14069]) ).

cnf(14072,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14070]) ).

cnf(14073,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14071]) ).

cnf(14074,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14072]) ).

cnf(14075,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14073]) ).

cnf(14076,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14074]) ).

cnf(14077,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14075]) ).

cnf(14078,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,14076]) ).

cnf(14079,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,14077]) ).

cnf(14080,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14078]) ).

cnf(14081,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14079]) ).

cnf(14082,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14080]) ).

cnf(14083,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14081]) ).

cnf(14084,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14082]) ).

cnf(14085,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14083]) ).

cnf(14086,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14084]) ).

cnf(14087,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14085]) ).

cnf(14088,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14086]) ).

cnf(14089,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14087]) ).

cnf(14090,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14088]) ).

cnf(14091,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14089]) ).

cnf(14092,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14090]) ).

cnf(14093,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14091]) ).

cnf(14094,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,14092]) ).

cnf(14095,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,14093]) ).

cnf(14096,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14094]) ).

cnf(14097,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14095]) ).

cnf(14098,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14096]) ).

cnf(14099,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14097]) ).

cnf(14100,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14098]) ).

cnf(14101,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14099]) ).

cnf(14102,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14100]) ).

cnf(14103,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14101]) ).

cnf(14104,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14102]) ).

cnf(14105,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14103]) ).

cnf(14106,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14104]) ).

cnf(14107,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14105]) ).

cnf(14108,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14106]) ).

cnf(14109,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14107]) ).

cnf(14110,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,14108]) ).

cnf(14111,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,14109]) ).

cnf(14112,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14110]) ).

cnf(14113,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14111]) ).

cnf(14114,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14112]) ).

cnf(14115,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14113]) ).

cnf(14116,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14114]) ).

cnf(14117,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14115]) ).

cnf(14118,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14116]) ).

cnf(14119,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14117]) ).

cnf(14120,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14118]) ).

cnf(14121,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14119]) ).

cnf(14122,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14120]) ).

cnf(14123,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14121]) ).

cnf(14124,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14122]) ).

cnf(14125,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14123]) ).

cnf(14126,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,14124]) ).

cnf(14127,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,14125]) ).

cnf(14128,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14126]) ).

cnf(14129,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14127]) ).

cnf(14130,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14128]) ).

cnf(14131,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14129]) ).

cnf(14132,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14130]) ).

cnf(14133,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14131]) ).

cnf(14134,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14132]) ).

cnf(14135,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14133]) ).

cnf(14136,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14134]) ).

cnf(14137,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14135]) ).

cnf(14138,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14136]) ).

cnf(14139,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14137]) ).

cnf(14140,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14138]) ).

cnf(14141,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14139]) ).

cnf(14142,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,14140]) ).

cnf(14143,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,14141]) ).

cnf(14144,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14142]) ).

cnf(14145,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14143]) ).

cnf(14146,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14144]) ).

cnf(14147,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14145]) ).

cnf(14148,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14146]) ).

cnf(14149,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14147]) ).

cnf(14150,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14148]) ).

cnf(14151,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14149]) ).

cnf(14152,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14150]) ).

cnf(14153,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14151]) ).

cnf(14154,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14152]) ).

cnf(14155,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14153]) ).

cnf(14156,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14154]) ).

cnf(14157,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14155]) ).

cnf(14158,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,14156]) ).

cnf(14159,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,14157]) ).

cnf(14160,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14158]) ).

cnf(14161,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14159]) ).

cnf(14162,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14160]) ).

cnf(14163,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14161]) ).

cnf(14164,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14162]) ).

cnf(14165,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14163]) ).

cnf(14166,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14164]) ).

cnf(14167,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14165]) ).

cnf(14168,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14166]) ).

cnf(14169,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14167]) ).

cnf(14170,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14168]) ).

cnf(14171,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14169]) ).

cnf(14172,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14170]) ).

cnf(14173,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14171]) ).

cnf(14174,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,14172]) ).

cnf(14175,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,14173]) ).

cnf(14176,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14174]) ).

cnf(14177,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14175]) ).

cnf(14178,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14176]) ).

cnf(14179,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14177]) ).

cnf(14180,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14178]) ).

cnf(14181,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14179]) ).

cnf(14182,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14180]) ).

cnf(14183,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14181]) ).

cnf(14184,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14182]) ).

cnf(14185,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14183]) ).

cnf(14186,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14184]) ).

cnf(14187,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14185]) ).

cnf(14188,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14186]) ).

cnf(14189,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14187]) ).

cnf(14190,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,14188]) ).

cnf(14191,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,14189]) ).

cnf(14192,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14190]) ).

cnf(14193,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14191]) ).

cnf(14194,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14192]) ).

cnf(14195,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14193]) ).

cnf(14196,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14194]) ).

cnf(14197,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14195]) ).

cnf(14198,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14196]) ).

cnf(14199,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14197]) ).

cnf(14200,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14198]) ).

cnf(14201,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14199]) ).

cnf(14202,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14200]) ).

cnf(14203,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14201]) ).

cnf(14204,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14202]) ).

cnf(14205,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14203]) ).

cnf(14206,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,14204]) ).

cnf(14207,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,14205]) ).

cnf(14208,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14206]) ).

cnf(14209,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14207]) ).

cnf(14210,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14208]) ).

cnf(14211,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14209]) ).

cnf(14212,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14210]) ).

cnf(14213,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14211]) ).

cnf(14214,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14212]) ).

cnf(14215,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14213]) ).

cnf(14216,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14214]) ).

cnf(14217,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14215]) ).

cnf(14218,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14216]) ).

cnf(14219,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14217]) ).

cnf(14220,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14218]) ).

cnf(14221,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14219]) ).

cnf(14222,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,14220]) ).

cnf(14223,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,14221]) ).

cnf(14224,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14222]) ).

cnf(14225,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14223]) ).

cnf(14226,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14224]) ).

cnf(14227,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14225]) ).

cnf(14228,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14226]) ).

cnf(14229,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14227]) ).

cnf(14230,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14228]) ).

cnf(14231,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14229]) ).

cnf(14232,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14230]) ).

cnf(14233,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14231]) ).

cnf(14234,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14232]) ).

cnf(14235,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14233]) ).

cnf(14236,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14234]) ).

cnf(14237,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14235]) ).

cnf(14238,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,14236]) ).

cnf(14239,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,14237]) ).

cnf(14240,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14238]) ).

cnf(14241,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14239]) ).

cnf(14242,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14240]) ).

cnf(14243,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14241]) ).

cnf(14244,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14242]) ).

cnf(14245,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14243]) ).

cnf(14246,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14244]) ).

cnf(14247,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14245]) ).

cnf(14248,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14246]) ).

cnf(14249,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14247]) ).

cnf(14250,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14248]) ).

cnf(14251,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14249]) ).

cnf(14252,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14250]) ).

cnf(14253,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14251]) ).

cnf(14254,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,14252]) ).

cnf(14255,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,14253]) ).

cnf(14256,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14254]) ).

cnf(14257,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14255]) ).

cnf(14258,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14256]) ).

cnf(14259,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14257]) ).

cnf(14260,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14258]) ).

cnf(14261,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14259]) ).

cnf(14262,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14260]) ).

cnf(14263,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14261]) ).

cnf(14264,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14262]) ).

cnf(14265,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14263]) ).

cnf(14266,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14264]) ).

cnf(14267,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14265]) ).

cnf(14268,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14266]) ).

cnf(14269,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14267]) ).

cnf(14270,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,14268]) ).

cnf(14271,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,14269]) ).

cnf(14272,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14270]) ).

cnf(14273,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14271]) ).

cnf(14274,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14272]) ).

cnf(14275,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14273]) ).

cnf(14276,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14274]) ).

cnf(14277,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14275]) ).

cnf(14278,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14276]) ).

cnf(14279,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14277]) ).

cnf(14280,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14278]) ).

cnf(14281,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14279]) ).

cnf(14282,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14280]) ).

cnf(14283,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14281]) ).

cnf(14284,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14282]) ).

cnf(14285,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14283]) ).

cnf(14286,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,14284]) ).

cnf(14287,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,14285]) ).

cnf(14288,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14286]) ).

cnf(14289,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14287]) ).

cnf(14290,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14288]) ).

cnf(14291,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14289]) ).

cnf(14292,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14290]) ).

cnf(14293,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14291]) ).

cnf(14294,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14292]) ).

cnf(14295,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14293]) ).

cnf(14296,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14294]) ).

cnf(14297,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14295]) ).

cnf(14298,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14296]) ).

cnf(14299,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14297]) ).

cnf(14300,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14298]) ).

cnf(14301,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14299]) ).

cnf(14302,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,14300]) ).

cnf(14303,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,14301]) ).

cnf(14304,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14302]) ).

cnf(14305,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14303]) ).

cnf(14306,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14304]) ).

cnf(14307,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14305]) ).

cnf(14308,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14306]) ).

cnf(14309,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14307]) ).

cnf(14310,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14308]) ).

cnf(14311,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14309]) ).

cnf(14312,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14310]) ).

cnf(14313,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14311]) ).

cnf(14314,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14312]) ).

cnf(14315,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14313]) ).

cnf(14316,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14314]) ).

cnf(14317,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14315]) ).

cnf(14318,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,14316]) ).

cnf(14319,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,14317]) ).

cnf(14320,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14318]) ).

cnf(14321,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14319]) ).

cnf(14322,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14320]) ).

cnf(14323,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14321]) ).

cnf(14324,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14322]) ).

cnf(14325,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14323]) ).

cnf(14326,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14324]) ).

cnf(14327,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14325]) ).

cnf(14328,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14326]) ).

cnf(14329,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14327]) ).

cnf(14330,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14328]) ).

cnf(14331,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14329]) ).

cnf(14332,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14330]) ).

cnf(14333,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14331]) ).

cnf(14334,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,14332]) ).

cnf(14335,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,14333]) ).

cnf(14336,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14334]) ).

cnf(14337,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14335]) ).

cnf(14338,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14336]) ).

cnf(14339,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14337]) ).

cnf(14340,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14338]) ).

cnf(14341,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14339]) ).

cnf(14342,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14340]) ).

cnf(14343,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14341]) ).

cnf(14344,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14342]) ).

cnf(14345,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14343]) ).

cnf(14346,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14344]) ).

cnf(14347,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14345]) ).

cnf(14348,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14346]) ).

cnf(14349,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14347]) ).

cnf(14350,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,14348]) ).

cnf(14351,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,14349]) ).

cnf(14352,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14350]) ).

cnf(14353,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14351]) ).

cnf(14354,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14352]) ).

cnf(14355,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14353]) ).

cnf(14356,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14354]) ).

cnf(14357,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14355]) ).

cnf(14358,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14356]) ).

cnf(14359,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14357]) ).

cnf(14360,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14358]) ).

cnf(14361,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14359]) ).

cnf(14362,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14360]) ).

cnf(14363,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14361]) ).

cnf(14364,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14362]) ).

cnf(14365,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14363]) ).

cnf(14366,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[13,14364]) ).

cnf(14367,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[13,14365]) ).

cnf(14368,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14366]) ).

cnf(14369,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14367]) ).

cnf(14370,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14368]) ).

cnf(14371,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14369]) ).

cnf(14372,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14370]) ).

cnf(14373,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14371]) ).

cnf(14374,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14372]) ).

cnf(14375,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14373]) ).

cnf(14376,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14374]) ).

cnf(14377,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14375]) ).

cnf(14378,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14376]) ).

cnf(14379,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14377]) ).

cnf(14380,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14378]) ).

cnf(14381,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14379]) ).

cnf(14382,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,14380]) ).

cnf(14383,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,14381]) ).

cnf(14384,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14382]) ).

cnf(14385,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14383]) ).

cnf(14386,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14384]) ).

cnf(14387,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14385]) ).

cnf(14388,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14386]) ).

cnf(14389,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14387]) ).

cnf(14390,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14388]) ).

cnf(14391,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14389]) ).

cnf(14392,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14390]) ).

cnf(14393,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14391]) ).

cnf(14394,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14392]) ).

cnf(14395,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14393]) ).

cnf(14396,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14394]) ).

cnf(14397,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14395]) ).

cnf(14398,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,14396]) ).

cnf(14399,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,14397]) ).

cnf(14400,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14398]) ).

cnf(14401,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14399]) ).

cnf(14402,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14400]) ).

cnf(14403,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14401]) ).

cnf(14404,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14402]) ).

cnf(14405,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14403]) ).

cnf(14406,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14404]) ).

cnf(14407,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14405]) ).

cnf(14408,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14406]) ).

cnf(14409,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14407]) ).

cnf(14410,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14408]) ).

cnf(14411,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14409]) ).

cnf(14412,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14410]) ).

cnf(14413,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14411]) ).

cnf(14414,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,14412]) ).

cnf(14415,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,14413]) ).

cnf(14416,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14414]) ).

cnf(14417,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14415]) ).

cnf(14418,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14416]) ).

cnf(14419,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14417]) ).

cnf(14420,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14418]) ).

cnf(14421,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14419]) ).

cnf(14422,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14420]) ).

cnf(14423,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14421]) ).

cnf(14424,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14422]) ).

cnf(14425,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14423]) ).

cnf(14426,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14424]) ).

cnf(14427,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14425]) ).

cnf(14428,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14426]) ).

cnf(14429,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14427]) ).

cnf(14430,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,14428]) ).

cnf(14431,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,14429]) ).

cnf(14432,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14430]) ).

cnf(14433,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14431]) ).

cnf(14434,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14432]) ).

cnf(14435,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14433]) ).

cnf(14436,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14434]) ).

cnf(14437,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14435]) ).

cnf(14438,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14436]) ).

cnf(14439,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14437]) ).

cnf(14440,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14438]) ).

cnf(14441,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14439]) ).

cnf(14442,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14440]) ).

cnf(14443,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14441]) ).

cnf(14444,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14442]) ).

cnf(14445,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14443]) ).

cnf(14446,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,14444]) ).

cnf(14447,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,14445]) ).

cnf(14448,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14446]) ).

cnf(14449,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14447]) ).

cnf(14450,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14448]) ).

cnf(14451,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14449]) ).

cnf(14452,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14450]) ).

cnf(14453,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14451]) ).

cnf(14454,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14452]) ).

cnf(14455,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14453]) ).

cnf(14456,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14454]) ).

cnf(14457,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14455]) ).

cnf(14458,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14456]) ).

cnf(14459,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14457]) ).

cnf(14460,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14458]) ).

cnf(14461,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14459]) ).

cnf(14462,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,14460]) ).

cnf(14463,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,14461]) ).

cnf(14464,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14462]) ).

cnf(14465,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14463]) ).

cnf(14466,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14464]) ).

cnf(14467,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14465]) ).

cnf(14468,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14466]) ).

cnf(14469,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14467]) ).

cnf(14470,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14468]) ).

cnf(14471,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14469]) ).

cnf(14472,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14470]) ).

cnf(14473,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14471]) ).

cnf(14474,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14472]) ).

cnf(14475,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14473]) ).

cnf(14476,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14474]) ).

cnf(14477,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14475]) ).

cnf(14478,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,14476]) ).

cnf(14479,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,14477]) ).

cnf(14480,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14478]) ).

cnf(14481,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14479]) ).

cnf(14482,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14480]) ).

cnf(14483,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14481]) ).

cnf(14484,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14482]) ).

cnf(14485,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14483]) ).

cnf(14486,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14484]) ).

cnf(14487,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14485]) ).

cnf(14488,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14486]) ).

cnf(14489,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14487]) ).

cnf(14490,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14488]) ).

cnf(14491,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14489]) ).

cnf(14492,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14490]) ).

cnf(14493,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14491]) ).

cnf(14494,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,14492]) ).

cnf(14495,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,14493]) ).

cnf(14496,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14494]) ).

cnf(14497,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14495]) ).

cnf(14498,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14496]) ).

cnf(14499,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14497]) ).

cnf(14500,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14498]) ).

cnf(14501,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14499]) ).

cnf(14502,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14500]) ).

cnf(14503,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14501]) ).

cnf(14504,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14502]) ).

cnf(14505,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14503]) ).

cnf(14506,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14504]) ).

cnf(14507,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14505]) ).

cnf(14508,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14506]) ).

cnf(14509,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14507]) ).

cnf(14510,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,14508]) ).

cnf(14511,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,14509]) ).

cnf(14512,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14510]) ).

cnf(14513,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14511]) ).

cnf(14514,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14512]) ).

cnf(14515,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14513]) ).

cnf(14516,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14514]) ).

cnf(14517,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14515]) ).

cnf(14518,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14516]) ).

cnf(14519,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14517]) ).

cnf(14520,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14518]) ).

cnf(14521,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14519]) ).

cnf(14522,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14520]) ).

cnf(14523,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14521]) ).

cnf(14524,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14522]) ).

cnf(14525,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14523]) ).

cnf(14526,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,14524]) ).

cnf(14527,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,14525]) ).

cnf(14528,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14526]) ).

cnf(14529,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14527]) ).

cnf(14530,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14528]) ).

cnf(14531,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14529]) ).

cnf(14532,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14530]) ).

cnf(14533,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14531]) ).

cnf(14534,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14532]) ).

cnf(14535,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14533]) ).

cnf(14536,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14534]) ).

cnf(14537,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14535]) ).

cnf(14538,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14536]) ).

cnf(14539,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14537]) ).

cnf(14540,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14538]) ).

cnf(14541,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14539]) ).

cnf(14542,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,14540]) ).

cnf(14543,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,14541]) ).

cnf(14544,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14542]) ).

cnf(14545,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14543]) ).

cnf(14546,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14544]) ).

cnf(14547,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14545]) ).

cnf(14548,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14546]) ).

cnf(14549,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14547]) ).

cnf(14550,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14548]) ).

cnf(14551,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14549]) ).

cnf(14552,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14550]) ).

cnf(14553,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14551]) ).

cnf(14554,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14552]) ).

cnf(14555,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14553]) ).

cnf(14556,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14554]) ).

cnf(14557,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14555]) ).

cnf(14558,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,14556]) ).

cnf(14559,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,14557]) ).

cnf(14560,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14558]) ).

cnf(14561,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14559]) ).

cnf(14562,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14560]) ).

cnf(14563,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14561]) ).

cnf(14564,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14562]) ).

cnf(14565,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14563]) ).

cnf(14566,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14564]) ).

cnf(14567,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14565]) ).

cnf(14568,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14566]) ).

cnf(14569,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14567]) ).

cnf(14570,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14568]) ).

cnf(14571,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14569]) ).

cnf(14572,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14570]) ).

cnf(14573,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14571]) ).

cnf(14574,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,14572]) ).

cnf(14575,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,14573]) ).

cnf(14576,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14574]) ).

cnf(14577,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14575]) ).

cnf(14578,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14576]) ).

cnf(14579,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14577]) ).

cnf(14580,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14578]) ).

cnf(14581,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14579]) ).

cnf(14582,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14580]) ).

cnf(14583,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14581]) ).

cnf(14584,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14582]) ).

cnf(14585,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14583]) ).

cnf(14586,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14584]) ).

cnf(14587,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14585]) ).

cnf(14588,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14586]) ).

cnf(14589,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14587]) ).

cnf(14590,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,14588]) ).

cnf(14591,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,14589]) ).

cnf(14592,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14590]) ).

cnf(14593,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14591]) ).

cnf(14594,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14592]) ).

cnf(14595,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14593]) ).

cnf(14596,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14594]) ).

cnf(14597,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14595]) ).

cnf(14598,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14596]) ).

cnf(14599,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14597]) ).

cnf(14600,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14598]) ).

cnf(14601,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14599]) ).

cnf(14602,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14600]) ).

cnf(14603,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14601]) ).

cnf(14604,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14602]) ).

cnf(14605,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14603]) ).

cnf(14606,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,14604]) ).

cnf(14607,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,14605]) ).

cnf(14608,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14606]) ).

cnf(14609,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14607]) ).

cnf(14610,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14608]) ).

cnf(14611,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14609]) ).

cnf(14612,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14610]) ).

cnf(14613,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14611]) ).

cnf(14614,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14612]) ).

cnf(14615,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14613]) ).

cnf(14616,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14614]) ).

cnf(14617,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14615]) ).

cnf(14618,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14616]) ).

cnf(14619,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14617]) ).

cnf(14620,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14618]) ).

cnf(14621,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14619]) ).

cnf(14622,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,14620]) ).

cnf(14623,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,14621]) ).

cnf(14624,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14622]) ).

cnf(14625,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14623]) ).

cnf(14626,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14624]) ).

cnf(14627,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14625]) ).

cnf(14628,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14626]) ).

cnf(14629,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14627]) ).

cnf(14630,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14628]) ).

cnf(14631,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14629]) ).

cnf(14632,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14630]) ).

cnf(14633,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14631]) ).

cnf(14634,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14632]) ).

cnf(14635,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14633]) ).

cnf(14636,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14634]) ).

cnf(14637,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14635]) ).

cnf(14638,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,14636]) ).

cnf(14639,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,14637]) ).

cnf(14640,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14638]) ).

cnf(14641,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14639]) ).

cnf(14642,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14640]) ).

cnf(14643,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14641]) ).

cnf(14644,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14642]) ).

cnf(14645,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14643]) ).

cnf(14646,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14644]) ).

cnf(14647,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14645]) ).

cnf(14648,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14646]) ).

cnf(14649,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14647]) ).

cnf(14650,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14648]) ).

cnf(14651,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14649]) ).

cnf(14652,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14650]) ).

cnf(14653,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14651]) ).

cnf(14654,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,14652]) ).

cnf(14655,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,14653]) ).

cnf(14656,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14654]) ).

cnf(14657,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14655]) ).

cnf(14658,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14656]) ).

cnf(14659,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14657]) ).

cnf(14660,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14658]) ).

cnf(14661,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14659]) ).

cnf(14662,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14660]) ).

cnf(14663,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14661]) ).

cnf(14664,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14662]) ).

cnf(14665,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14663]) ).

cnf(14666,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14664]) ).

cnf(14667,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14665]) ).

cnf(14668,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14666]) ).

cnf(14669,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14667]) ).

cnf(14670,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,14668]) ).

cnf(14671,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,14669]) ).

cnf(14672,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14670]) ).

cnf(14673,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14671]) ).

cnf(14674,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14672]) ).

cnf(14675,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14673]) ).

cnf(14676,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14674]) ).

cnf(14677,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14675]) ).

cnf(14678,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14676]) ).

cnf(14679,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14677]) ).

cnf(14680,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14678]) ).

cnf(14681,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14679]) ).

cnf(14682,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14680]) ).

cnf(14683,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14681]) ).

cnf(14684,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14682]) ).

cnf(14685,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14683]) ).

cnf(14686,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,14684]) ).

cnf(14687,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,14685]) ).

cnf(14688,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14686]) ).

cnf(14689,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14687]) ).

cnf(14690,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14688]) ).

cnf(14691,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14689]) ).

cnf(14692,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14690]) ).

cnf(14693,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14691]) ).

cnf(14694,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14692]) ).

cnf(14695,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14693]) ).

cnf(14696,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14694]) ).

cnf(14697,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14695]) ).

cnf(14698,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14696]) ).

cnf(14699,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14697]) ).

cnf(14700,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14698]) ).

cnf(14701,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14699]) ).

cnf(14702,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,14700]) ).

cnf(14703,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,14701]) ).

cnf(14704,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14702]) ).

cnf(14705,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14703]) ).

cnf(14706,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14704]) ).

cnf(14707,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14705]) ).

cnf(14708,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14706]) ).

cnf(14709,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14707]) ).

cnf(14710,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14708]) ).

cnf(14711,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14709]) ).

cnf(14712,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14710]) ).

cnf(14713,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14711]) ).

cnf(14714,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14712]) ).

cnf(14715,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14713]) ).

cnf(14716,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14714]) ).

cnf(14717,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14715]) ).

cnf(14718,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,14716]) ).

cnf(14719,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,14717]) ).

cnf(14720,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14718]) ).

cnf(14721,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14719]) ).

cnf(14722,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14720]) ).

cnf(14723,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14721]) ).

cnf(14724,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14722]) ).

cnf(14725,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14723]) ).

cnf(14726,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14724]) ).

cnf(14727,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14725]) ).

cnf(14728,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14726]) ).

cnf(14729,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14727]) ).

cnf(14730,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14728]) ).

cnf(14731,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14729]) ).

cnf(14732,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14730]) ).

cnf(14733,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14731]) ).

cnf(14734,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,14732]) ).

cnf(14735,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,14733]) ).

cnf(14736,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14734]) ).

cnf(14737,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14735]) ).

cnf(14738,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14736]) ).

cnf(14739,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14737]) ).

cnf(14740,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14738]) ).

cnf(14741,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14739]) ).

cnf(14742,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14740]) ).

cnf(14743,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14741]) ).

cnf(14744,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14742]) ).

cnf(14745,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14743]) ).

cnf(14746,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14744]) ).

cnf(14747,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14745]) ).

cnf(14748,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14746]) ).

cnf(14749,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14747]) ).

cnf(14750,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,14748]) ).

cnf(14751,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,14749]) ).

cnf(14752,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14750]) ).

cnf(14753,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14751]) ).

cnf(14754,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14752]) ).

cnf(14755,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14753]) ).

cnf(14756,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14754]) ).

cnf(14757,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14755]) ).

cnf(14758,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14756]) ).

cnf(14759,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14757]) ).

cnf(14760,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14758]) ).

cnf(14761,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14759]) ).

cnf(14762,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14760]) ).

cnf(14763,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14761]) ).

cnf(14764,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14762]) ).

cnf(14765,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14763]) ).

cnf(14766,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,14764]) ).

cnf(14767,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,14765]) ).

cnf(14768,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14766]) ).

cnf(14769,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14767]) ).

cnf(14770,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14768]) ).

cnf(14771,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14769]) ).

cnf(14772,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14770]) ).

cnf(14773,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14771]) ).

cnf(14774,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14772]) ).

cnf(14775,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14773]) ).

cnf(14776,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14774]) ).

cnf(14777,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14775]) ).

cnf(14778,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14776]) ).

cnf(14779,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14777]) ).

cnf(14780,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14778]) ).

cnf(14781,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14779]) ).

cnf(14782,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,14780]) ).

cnf(14783,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,14781]) ).

cnf(14784,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14782]) ).

cnf(14785,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14783]) ).

cnf(14786,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14784]) ).

cnf(14787,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14785]) ).

cnf(14788,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14786]) ).

cnf(14789,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14787]) ).

cnf(14790,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14788]) ).

cnf(14791,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14789]) ).

cnf(14792,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14790]) ).

cnf(14793,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14791]) ).

cnf(14794,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14792]) ).

cnf(14795,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14793]) ).

cnf(14796,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14794]) ).

cnf(14797,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14795]) ).

cnf(14798,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,14796]) ).

cnf(14799,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,14797]) ).

cnf(14800,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14798]) ).

cnf(14801,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14799]) ).

cnf(14802,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14800]) ).

cnf(14803,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14801]) ).

cnf(14804,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14802]) ).

cnf(14805,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14803]) ).

cnf(14806,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14804]) ).

cnf(14807,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14805]) ).

cnf(14808,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14806]) ).

cnf(14809,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14807]) ).

cnf(14810,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14808]) ).

cnf(14811,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14809]) ).

cnf(14812,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14810]) ).

cnf(14813,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14811]) ).

cnf(14814,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,14812]) ).

cnf(14815,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,14813]) ).

cnf(14816,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14814]) ).

cnf(14817,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14815]) ).

cnf(14818,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14816]) ).

cnf(14819,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14817]) ).

cnf(14820,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14818]) ).

cnf(14821,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14819]) ).

cnf(14822,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14820]) ).

cnf(14823,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14821]) ).

cnf(14824,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14822]) ).

cnf(14825,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14823]) ).

cnf(14826,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14824]) ).

cnf(14827,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14825]) ).

cnf(14828,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14826]) ).

cnf(14829,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14827]) ).

cnf(14830,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,14828]) ).

cnf(14831,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,14829]) ).

cnf(14832,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14830]) ).

cnf(14833,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14831]) ).

cnf(14834,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14832]) ).

cnf(14835,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14833]) ).

cnf(14836,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14834]) ).

cnf(14837,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14835]) ).

cnf(14838,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14836]) ).

cnf(14839,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14837]) ).

cnf(14840,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14838]) ).

cnf(14841,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14839]) ).

cnf(14842,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14840]) ).

cnf(14843,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14841]) ).

cnf(14844,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14842]) ).

cnf(14845,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14843]) ).

cnf(14846,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,14844]) ).

cnf(14847,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,14845]) ).

cnf(14848,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14846]) ).

cnf(14849,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14847]) ).

cnf(14850,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14848]) ).

cnf(14851,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14849]) ).

cnf(14852,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14850]) ).

cnf(14853,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14851]) ).

cnf(14854,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14852]) ).

cnf(14855,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14853]) ).

cnf(14856,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14854]) ).

cnf(14857,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14855]) ).

cnf(14858,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14856]) ).

cnf(14859,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14857]) ).

cnf(14860,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14858]) ).

cnf(14861,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14859]) ).

cnf(14862,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,14860]) ).

cnf(14863,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,14861]) ).

cnf(14864,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14862]) ).

cnf(14865,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14863]) ).

cnf(14866,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14864]) ).

cnf(14867,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14865]) ).

cnf(14868,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14866]) ).

cnf(14869,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14867]) ).

cnf(14870,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14868]) ).

cnf(14871,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14869]) ).

cnf(14872,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14870]) ).

cnf(14873,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14871]) ).

cnf(14874,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14872]) ).

cnf(14875,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14873]) ).

cnf(14876,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14874]) ).

cnf(14877,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14875]) ).

cnf(14878,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[11,14876]) ).

cnf(14879,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[11,14877]) ).

cnf(14880,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14878]) ).

cnf(14881,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14879]) ).

cnf(14882,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14880]) ).

cnf(14883,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14881]) ).

cnf(14884,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14882]) ).

cnf(14885,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14883]) ).

cnf(14886,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14884]) ).

cnf(14887,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14885]) ).

cnf(14888,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14886]) ).

cnf(14889,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14887]) ).

cnf(14890,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14888]) ).

cnf(14891,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14889]) ).

cnf(14892,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14890]) ).

cnf(14893,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14891]) ).

cnf(14894,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,14892]) ).

cnf(14895,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,14893]) ).

cnf(14896,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14894]) ).

cnf(14897,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14895]) ).

cnf(14898,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14896]) ).

cnf(14899,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14897]) ).

cnf(14900,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14898]) ).

cnf(14901,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14899]) ).

cnf(14902,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14900]) ).

cnf(14903,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14901]) ).

cnf(14904,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14902]) ).

cnf(14905,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14903]) ).

cnf(14906,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14904]) ).

cnf(14907,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14905]) ).

cnf(14908,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14906]) ).

cnf(14909,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14907]) ).

cnf(14910,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,14908]) ).

cnf(14911,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,14909]) ).

cnf(14912,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14910]) ).

cnf(14913,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14911]) ).

cnf(14914,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14912]) ).

cnf(14915,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14913]) ).

cnf(14916,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14914]) ).

cnf(14917,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14915]) ).

cnf(14918,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14916]) ).

cnf(14919,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14917]) ).

cnf(14920,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14918]) ).

cnf(14921,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14919]) ).

cnf(14922,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14920]) ).

cnf(14923,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14921]) ).

cnf(14924,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14922]) ).

cnf(14925,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14923]) ).

cnf(14926,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,14924]) ).

cnf(14927,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,14925]) ).

cnf(14928,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14926]) ).

cnf(14929,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14927]) ).

cnf(14930,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14928]) ).

cnf(14931,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14929]) ).

cnf(14932,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14930]) ).

cnf(14933,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14931]) ).

cnf(14934,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14932]) ).

cnf(14935,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14933]) ).

cnf(14936,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14934]) ).

cnf(14937,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14935]) ).

cnf(14938,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14936]) ).

cnf(14939,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14937]) ).

cnf(14940,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14938]) ).

cnf(14941,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14939]) ).

cnf(14942,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,14940]) ).

cnf(14943,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,14941]) ).

cnf(14944,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14942]) ).

cnf(14945,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14943]) ).

cnf(14946,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14944]) ).

cnf(14947,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14945]) ).

cnf(14948,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14946]) ).

cnf(14949,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14947]) ).

cnf(14950,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14948]) ).

cnf(14951,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14949]) ).

cnf(14952,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14950]) ).

cnf(14953,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14951]) ).

cnf(14954,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14952]) ).

cnf(14955,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14953]) ).

cnf(14956,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14954]) ).

cnf(14957,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14955]) ).

cnf(14958,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,14956]) ).

cnf(14959,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,14957]) ).

cnf(14960,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14958]) ).

cnf(14961,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14959]) ).

cnf(14962,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14960]) ).

cnf(14963,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14961]) ).

cnf(14964,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14962]) ).

cnf(14965,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14963]) ).

cnf(14966,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14964]) ).

cnf(14967,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14965]) ).

cnf(14968,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14966]) ).

cnf(14969,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14967]) ).

cnf(14970,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14968]) ).

cnf(14971,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14969]) ).

cnf(14972,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14970]) ).

cnf(14973,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14971]) ).

cnf(14974,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,14972]) ).

cnf(14975,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,14973]) ).

cnf(14976,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14974]) ).

cnf(14977,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14975]) ).

cnf(14978,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14976]) ).

cnf(14979,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14977]) ).

cnf(14980,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14978]) ).

cnf(14981,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14979]) ).

cnf(14982,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14980]) ).

cnf(14983,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14981]) ).

cnf(14984,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14982]) ).

cnf(14985,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14983]) ).

cnf(14986,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14984]) ).

cnf(14987,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14985]) ).

cnf(14988,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14986]) ).

cnf(14989,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14987]) ).

cnf(14990,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,14988]) ).

cnf(14991,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,14989]) ).

cnf(14992,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14990]) ).

cnf(14993,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14991]) ).

cnf(14994,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,14992]) ).

cnf(14995,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,14993]) ).

cnf(14996,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14994]) ).

cnf(14997,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14995]) ).

cnf(14998,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,14996]) ).

cnf(14999,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,14997]) ).

cnf(15000,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,14998]) ).

cnf(15001,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,14999]) ).

cnf(15002,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15000]) ).

cnf(15003,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15001]) ).

cnf(15004,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15002]) ).

cnf(15005,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15003]) ).

cnf(15006,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,15004]) ).

cnf(15007,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,15005]) ).

cnf(15008,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15006]) ).

cnf(15009,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15007]) ).

cnf(15010,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15008]) ).

cnf(15011,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15009]) ).

cnf(15012,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15010]) ).

cnf(15013,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15011]) ).

cnf(15014,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15012]) ).

cnf(15015,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15013]) ).

cnf(15016,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15014]) ).

cnf(15017,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15015]) ).

cnf(15018,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15016]) ).

cnf(15019,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15017]) ).

cnf(15020,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15018]) ).

cnf(15021,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15019]) ).

cnf(15022,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,15020]) ).

cnf(15023,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,15021]) ).

cnf(15024,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15022]) ).

cnf(15025,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15023]) ).

cnf(15026,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15024]) ).

cnf(15027,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15025]) ).

cnf(15028,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15026]) ).

cnf(15029,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15027]) ).

cnf(15030,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15028]) ).

cnf(15031,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15029]) ).

cnf(15032,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15030]) ).

cnf(15033,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15031]) ).

cnf(15034,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15032]) ).

cnf(15035,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15033]) ).

cnf(15036,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15034]) ).

cnf(15037,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15035]) ).

cnf(15038,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,15036]) ).

cnf(15039,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,15037]) ).

cnf(15040,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15038]) ).

cnf(15041,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15039]) ).

cnf(15042,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15040]) ).

cnf(15043,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15041]) ).

cnf(15044,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15042]) ).

cnf(15045,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15043]) ).

cnf(15046,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15044]) ).

cnf(15047,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15045]) ).

cnf(15048,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15046]) ).

cnf(15049,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15047]) ).

cnf(15050,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15048]) ).

cnf(15051,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15049]) ).

cnf(15052,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15050]) ).

cnf(15053,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15051]) ).

cnf(15054,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,15052]) ).

cnf(15055,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,15053]) ).

cnf(15056,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15054]) ).

cnf(15057,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15055]) ).

cnf(15058,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15056]) ).

cnf(15059,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15057]) ).

cnf(15060,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15058]) ).

cnf(15061,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15059]) ).

cnf(15062,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15060]) ).

cnf(15063,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15061]) ).

cnf(15064,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15062]) ).

cnf(15065,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15063]) ).

cnf(15066,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15064]) ).

cnf(15067,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15065]) ).

cnf(15068,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15066]) ).

cnf(15069,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15067]) ).

cnf(15070,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,15068]) ).

cnf(15071,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,15069]) ).

cnf(15072,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15070]) ).

cnf(15073,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15071]) ).

cnf(15074,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15072]) ).

cnf(15075,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15073]) ).

cnf(15076,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15074]) ).

cnf(15077,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15075]) ).

cnf(15078,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15076]) ).

cnf(15079,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15077]) ).

cnf(15080,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15078]) ).

cnf(15081,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15079]) ).

cnf(15082,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15080]) ).

cnf(15083,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15081]) ).

cnf(15084,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15082]) ).

cnf(15085,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15083]) ).

cnf(15086,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,15084]) ).

cnf(15087,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,15085]) ).

cnf(15088,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15086]) ).

cnf(15089,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15087]) ).

cnf(15090,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15088]) ).

cnf(15091,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15089]) ).

cnf(15092,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15090]) ).

cnf(15093,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15091]) ).

cnf(15094,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15092]) ).

cnf(15095,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15093]) ).

cnf(15096,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15094]) ).

cnf(15097,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15095]) ).

cnf(15098,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15096]) ).

cnf(15099,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15097]) ).

cnf(15100,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15098]) ).

cnf(15101,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15099]) ).

cnf(15102,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,15100]) ).

cnf(15103,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,15101]) ).

cnf(15104,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15102]) ).

cnf(15105,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15103]) ).

cnf(15106,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15104]) ).

cnf(15107,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15105]) ).

cnf(15108,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15106]) ).

cnf(15109,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15107]) ).

cnf(15110,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15108]) ).

cnf(15111,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15109]) ).

cnf(15112,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15110]) ).

cnf(15113,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15111]) ).

cnf(15114,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15112]) ).

cnf(15115,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15113]) ).

cnf(15116,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15114]) ).

cnf(15117,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15115]) ).

cnf(15118,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,15116]) ).

cnf(15119,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,15117]) ).

cnf(15120,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15118]) ).

cnf(15121,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15119]) ).

cnf(15122,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15120]) ).

cnf(15123,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15121]) ).

cnf(15124,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15122]) ).

cnf(15125,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15123]) ).

cnf(15126,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15124]) ).

cnf(15127,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15125]) ).

cnf(15128,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15126]) ).

cnf(15129,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15127]) ).

cnf(15130,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15128]) ).

cnf(15131,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15129]) ).

cnf(15132,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15130]) ).

cnf(15133,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15131]) ).

cnf(15134,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,15132]) ).

cnf(15135,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,15133]) ).

cnf(15136,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15134]) ).

cnf(15137,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15135]) ).

cnf(15138,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15136]) ).

cnf(15139,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15137]) ).

cnf(15140,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15138]) ).

cnf(15141,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15139]) ).

cnf(15142,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15140]) ).

cnf(15143,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15141]) ).

cnf(15144,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15142]) ).

cnf(15145,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15143]) ).

cnf(15146,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15144]) ).

cnf(15147,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15145]) ).

cnf(15148,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15146]) ).

cnf(15149,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15147]) ).

cnf(15150,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,15148]) ).

cnf(15151,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,15149]) ).

cnf(15152,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15150]) ).

cnf(15153,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15151]) ).

cnf(15154,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15152]) ).

cnf(15155,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15153]) ).

cnf(15156,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15154]) ).

cnf(15157,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15155]) ).

cnf(15158,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15156]) ).

cnf(15159,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15157]) ).

cnf(15160,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15158]) ).

cnf(15161,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15159]) ).

cnf(15162,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15160]) ).

cnf(15163,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15161]) ).

cnf(15164,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15162]) ).

cnf(15165,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15163]) ).

cnf(15166,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,15164]) ).

cnf(15167,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,15165]) ).

cnf(15168,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15166]) ).

cnf(15169,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15167]) ).

cnf(15170,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15168]) ).

cnf(15171,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15169]) ).

cnf(15172,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15170]) ).

cnf(15173,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15171]) ).

cnf(15174,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15172]) ).

cnf(15175,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15173]) ).

cnf(15176,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15174]) ).

cnf(15177,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15175]) ).

cnf(15178,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15176]) ).

cnf(15179,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15177]) ).

cnf(15180,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15178]) ).

cnf(15181,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15179]) ).

cnf(15182,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,15180]) ).

cnf(15183,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,15181]) ).

cnf(15184,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15182]) ).

cnf(15185,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15183]) ).

cnf(15186,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15184]) ).

cnf(15187,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15185]) ).

cnf(15188,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15186]) ).

cnf(15189,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15187]) ).

cnf(15190,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15188]) ).

cnf(15191,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15189]) ).

cnf(15192,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15190]) ).

cnf(15193,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15191]) ).

cnf(15194,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15192]) ).

cnf(15195,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15193]) ).

cnf(15196,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15194]) ).

cnf(15197,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15195]) ).

cnf(15198,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,15196]) ).

cnf(15199,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,15197]) ).

cnf(15200,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15198]) ).

cnf(15201,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15199]) ).

cnf(15202,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15200]) ).

cnf(15203,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15201]) ).

cnf(15204,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15202]) ).

cnf(15205,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15203]) ).

cnf(15206,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15204]) ).

cnf(15207,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15205]) ).

cnf(15208,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15206]) ).

cnf(15209,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15207]) ).

cnf(15210,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15208]) ).

cnf(15211,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15209]) ).

cnf(15212,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15210]) ).

cnf(15213,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15211]) ).

cnf(15214,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,15212]) ).

cnf(15215,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,15213]) ).

cnf(15216,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15214]) ).

cnf(15217,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15215]) ).

cnf(15218,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15216]) ).

cnf(15219,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15217]) ).

cnf(15220,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15218]) ).

cnf(15221,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15219]) ).

cnf(15222,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15220]) ).

cnf(15223,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15221]) ).

cnf(15224,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15222]) ).

cnf(15225,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15223]) ).

cnf(15226,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15224]) ).

cnf(15227,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15225]) ).

cnf(15228,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15226]) ).

cnf(15229,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15227]) ).

cnf(15230,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,15228]) ).

cnf(15231,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,15229]) ).

cnf(15232,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15230]) ).

cnf(15233,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15231]) ).

cnf(15234,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15232]) ).

cnf(15235,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15233]) ).

cnf(15236,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15234]) ).

cnf(15237,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15235]) ).

cnf(15238,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15236]) ).

cnf(15239,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15237]) ).

cnf(15240,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15238]) ).

cnf(15241,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15239]) ).

cnf(15242,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15240]) ).

cnf(15243,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15241]) ).

cnf(15244,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15242]) ).

cnf(15245,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15243]) ).

cnf(15246,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,15244]) ).

cnf(15247,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,15245]) ).

cnf(15248,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15246]) ).

cnf(15249,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15247]) ).

cnf(15250,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15248]) ).

cnf(15251,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15249]) ).

cnf(15252,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15250]) ).

cnf(15253,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15251]) ).

cnf(15254,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15252]) ).

cnf(15255,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15253]) ).

cnf(15256,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15254]) ).

cnf(15257,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15255]) ).

cnf(15258,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15256]) ).

cnf(15259,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15257]) ).

cnf(15260,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15258]) ).

cnf(15261,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15259]) ).

cnf(15262,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,15260]) ).

cnf(15263,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,15261]) ).

cnf(15264,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15262]) ).

cnf(15265,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15263]) ).

cnf(15266,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15264]) ).

cnf(15267,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15265]) ).

cnf(15268,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15266]) ).

cnf(15269,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15267]) ).

cnf(15270,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15268]) ).

cnf(15271,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15269]) ).

cnf(15272,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15270]) ).

cnf(15273,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15271]) ).

cnf(15274,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15272]) ).

cnf(15275,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15273]) ).

cnf(15276,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15274]) ).

cnf(15277,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15275]) ).

cnf(15278,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,15276]) ).

cnf(15279,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,15277]) ).

cnf(15280,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15278]) ).

cnf(15281,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15279]) ).

cnf(15282,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15280]) ).

cnf(15283,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15281]) ).

cnf(15284,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15282]) ).

cnf(15285,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15283]) ).

cnf(15286,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15284]) ).

cnf(15287,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15285]) ).

cnf(15288,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15286]) ).

cnf(15289,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15287]) ).

cnf(15290,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15288]) ).

cnf(15291,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15289]) ).

cnf(15292,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15290]) ).

cnf(15293,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15291]) ).

cnf(15294,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,15292]) ).

cnf(15295,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,15293]) ).

cnf(15296,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15294]) ).

cnf(15297,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15295]) ).

cnf(15298,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15296]) ).

cnf(15299,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15297]) ).

cnf(15300,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15298]) ).

cnf(15301,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15299]) ).

cnf(15302,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15300]) ).

cnf(15303,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15301]) ).

cnf(15304,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15302]) ).

cnf(15305,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15303]) ).

cnf(15306,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15304]) ).

cnf(15307,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15305]) ).

cnf(15308,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15306]) ).

cnf(15309,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15307]) ).

cnf(15310,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,15308]) ).

cnf(15311,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,15309]) ).

cnf(15312,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15310]) ).

cnf(15313,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15311]) ).

cnf(15314,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15312]) ).

cnf(15315,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15313]) ).

cnf(15316,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15314]) ).

cnf(15317,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15315]) ).

cnf(15318,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15316]) ).

cnf(15319,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15317]) ).

cnf(15320,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15318]) ).

cnf(15321,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15319]) ).

cnf(15322,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15320]) ).

cnf(15323,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15321]) ).

cnf(15324,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15322]) ).

cnf(15325,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15323]) ).

cnf(15326,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,15324]) ).

cnf(15327,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,15325]) ).

cnf(15328,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15326]) ).

cnf(15329,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15327]) ).

cnf(15330,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15328]) ).

cnf(15331,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15329]) ).

cnf(15332,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15330]) ).

cnf(15333,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15331]) ).

cnf(15334,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15332]) ).

cnf(15335,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15333]) ).

cnf(15336,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15334]) ).

cnf(15337,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15335]) ).

cnf(15338,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15336]) ).

cnf(15339,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15337]) ).

cnf(15340,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15338]) ).

cnf(15341,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15339]) ).

cnf(15342,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,15340]) ).

cnf(15343,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,15341]) ).

cnf(15344,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15342]) ).

cnf(15345,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15343]) ).

cnf(15346,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15344]) ).

cnf(15347,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15345]) ).

cnf(15348,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15346]) ).

cnf(15349,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15347]) ).

cnf(15350,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15348]) ).

cnf(15351,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15349]) ).

cnf(15352,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15350]) ).

cnf(15353,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15351]) ).

cnf(15354,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15352]) ).

cnf(15355,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15353]) ).

cnf(15356,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15354]) ).

cnf(15357,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15355]) ).

cnf(15358,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,15356]) ).

cnf(15359,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,15357]) ).

cnf(15360,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15358]) ).

cnf(15361,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15359]) ).

cnf(15362,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15360]) ).

cnf(15363,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15361]) ).

cnf(15364,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15362]) ).

cnf(15365,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15363]) ).

cnf(15366,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15364]) ).

cnf(15367,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15365]) ).

cnf(15368,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15366]) ).

cnf(15369,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15367]) ).

cnf(15370,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15368]) ).

cnf(15371,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15369]) ).

cnf(15372,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15370]) ).

cnf(15373,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15371]) ).

cnf(15374,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,15372]) ).

cnf(15375,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,15373]) ).

cnf(15376,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15374]) ).

cnf(15377,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15375]) ).

cnf(15378,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15376]) ).

cnf(15379,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15377]) ).

cnf(15380,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15378]) ).

cnf(15381,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15379]) ).

cnf(15382,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15380]) ).

cnf(15383,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15381]) ).

cnf(15384,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15382]) ).

cnf(15385,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15383]) ).

cnf(15386,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15384]) ).

cnf(15387,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15385]) ).

cnf(15388,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15386]) ).

cnf(15389,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15387]) ).

cnf(15390,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[12,15388]) ).

cnf(15391,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[12,15389]) ).

cnf(15392,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15390]) ).

cnf(15393,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15391]) ).

cnf(15394,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15392]) ).

cnf(15395,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15393]) ).

cnf(15396,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15394]) ).

cnf(15397,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15395]) ).

cnf(15398,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15396]) ).

cnf(15399,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15397]) ).

cnf(15400,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15398]) ).

cnf(15401,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15399]) ).

cnf(15402,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15400]) ).

cnf(15403,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15401]) ).

cnf(15404,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15402]) ).

cnf(15405,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15403]) ).

cnf(15406,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,15404]) ).

cnf(15407,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,15405]) ).

cnf(15408,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15406]) ).

cnf(15409,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15407]) ).

cnf(15410,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15408]) ).

cnf(15411,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15409]) ).

cnf(15412,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15410]) ).

cnf(15413,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15411]) ).

cnf(15414,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15412]) ).

cnf(15415,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15413]) ).

cnf(15416,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15414]) ).

cnf(15417,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15415]) ).

cnf(15418,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15416]) ).

cnf(15419,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15417]) ).

cnf(15420,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15418]) ).

cnf(15421,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15419]) ).

cnf(15422,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,15420]) ).

cnf(15423,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,15421]) ).

cnf(15424,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15422]) ).

cnf(15425,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15423]) ).

cnf(15426,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15424]) ).

cnf(15427,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15425]) ).

cnf(15428,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15426]) ).

cnf(15429,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15427]) ).

cnf(15430,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15428]) ).

cnf(15431,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15429]) ).

cnf(15432,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15430]) ).

cnf(15433,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15431]) ).

cnf(15434,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15432]) ).

cnf(15435,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15433]) ).

cnf(15436,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15434]) ).

cnf(15437,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15435]) ).

cnf(15438,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,15436]) ).

cnf(15439,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,15437]) ).

cnf(15440,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15438]) ).

cnf(15441,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15439]) ).

cnf(15442,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15440]) ).

cnf(15443,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15441]) ).

cnf(15444,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15442]) ).

cnf(15445,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15443]) ).

cnf(15446,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15444]) ).

cnf(15447,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15445]) ).

cnf(15448,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15446]) ).

cnf(15449,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15447]) ).

cnf(15450,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15448]) ).

cnf(15451,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15449]) ).

cnf(15452,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15450]) ).

cnf(15453,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15451]) ).

cnf(15454,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,15452]) ).

cnf(15455,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,15453]) ).

cnf(15456,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15454]) ).

cnf(15457,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15455]) ).

cnf(15458,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15456]) ).

cnf(15459,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15457]) ).

cnf(15460,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15458]) ).

cnf(15461,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15459]) ).

cnf(15462,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15460]) ).

cnf(15463,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15461]) ).

cnf(15464,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15462]) ).

cnf(15465,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15463]) ).

cnf(15466,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15464]) ).

cnf(15467,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15465]) ).

cnf(15468,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15466]) ).

cnf(15469,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15467]) ).

cnf(15470,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,15468]) ).

cnf(15471,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,15469]) ).

cnf(15472,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15470]) ).

cnf(15473,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15471]) ).

cnf(15474,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15472]) ).

cnf(15475,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15473]) ).

cnf(15476,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15474]) ).

cnf(15477,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15475]) ).

cnf(15478,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15476]) ).

cnf(15479,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15477]) ).

cnf(15480,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15478]) ).

cnf(15481,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15479]) ).

cnf(15482,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15480]) ).

cnf(15483,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15481]) ).

cnf(15484,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15482]) ).

cnf(15485,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15483]) ).

cnf(15486,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,15484]) ).

cnf(15487,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,15485]) ).

cnf(15488,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15486]) ).

cnf(15489,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15487]) ).

cnf(15490,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15488]) ).

cnf(15491,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15489]) ).

cnf(15492,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15490]) ).

cnf(15493,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15491]) ).

cnf(15494,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15492]) ).

cnf(15495,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15493]) ).

cnf(15496,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15494]) ).

cnf(15497,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15495]) ).

cnf(15498,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15496]) ).

cnf(15499,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15497]) ).

cnf(15500,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15498]) ).

cnf(15501,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15499]) ).

cnf(15502,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,15500]) ).

cnf(15503,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,15501]) ).

cnf(15504,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15502]) ).

cnf(15505,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15503]) ).

cnf(15506,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15504]) ).

cnf(15507,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15505]) ).

cnf(15508,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15506]) ).

cnf(15509,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15507]) ).

cnf(15510,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15508]) ).

cnf(15511,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15509]) ).

cnf(15512,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15510]) ).

cnf(15513,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15511]) ).

cnf(15514,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15512]) ).

cnf(15515,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15513]) ).

cnf(15516,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15514]) ).

cnf(15517,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15515]) ).

cnf(15518,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,15516]) ).

cnf(15519,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,15517]) ).

cnf(15520,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15518]) ).

cnf(15521,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15519]) ).

cnf(15522,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15520]) ).

cnf(15523,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15521]) ).

cnf(15524,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15522]) ).

cnf(15525,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15523]) ).

cnf(15526,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15524]) ).

cnf(15527,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15525]) ).

cnf(15528,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15526]) ).

cnf(15529,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15527]) ).

cnf(15530,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15528]) ).

cnf(15531,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15529]) ).

cnf(15532,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15530]) ).

cnf(15533,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15531]) ).

cnf(15534,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,15532]) ).

cnf(15535,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,15533]) ).

cnf(15536,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15534]) ).

cnf(15537,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15535]) ).

cnf(15538,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15536]) ).

cnf(15539,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15537]) ).

cnf(15540,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15538]) ).

cnf(15541,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15539]) ).

cnf(15542,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15540]) ).

cnf(15543,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15541]) ).

cnf(15544,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15542]) ).

cnf(15545,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15543]) ).

cnf(15546,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15544]) ).

cnf(15547,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15545]) ).

cnf(15548,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15546]) ).

cnf(15549,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15547]) ).

cnf(15550,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,15548]) ).

cnf(15551,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,15549]) ).

cnf(15552,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15550]) ).

cnf(15553,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15551]) ).

cnf(15554,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15552]) ).

cnf(15555,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15553]) ).

cnf(15556,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15554]) ).

cnf(15557,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15555]) ).

cnf(15558,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15556]) ).

cnf(15559,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15557]) ).

cnf(15560,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15558]) ).

cnf(15561,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15559]) ).

cnf(15562,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15560]) ).

cnf(15563,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15561]) ).

cnf(15564,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15562]) ).

cnf(15565,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15563]) ).

cnf(15566,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,15564]) ).

cnf(15567,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,15565]) ).

cnf(15568,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15566]) ).

cnf(15569,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15567]) ).

cnf(15570,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15568]) ).

cnf(15571,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15569]) ).

cnf(15572,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15570]) ).

cnf(15573,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15571]) ).

cnf(15574,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15572]) ).

cnf(15575,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15573]) ).

cnf(15576,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15574]) ).

cnf(15577,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15575]) ).

cnf(15578,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15576]) ).

cnf(15579,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15577]) ).

cnf(15580,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15578]) ).

cnf(15581,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15579]) ).

cnf(15582,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,15580]) ).

cnf(15583,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,15581]) ).

cnf(15584,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15582]) ).

cnf(15585,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15583]) ).

cnf(15586,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15584]) ).

cnf(15587,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15585]) ).

cnf(15588,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15586]) ).

cnf(15589,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15587]) ).

cnf(15590,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15588]) ).

cnf(15591,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15589]) ).

cnf(15592,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15590]) ).

cnf(15593,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15591]) ).

cnf(15594,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15592]) ).

cnf(15595,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15593]) ).

cnf(15596,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15594]) ).

cnf(15597,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15595]) ).

cnf(15598,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,15596]) ).

cnf(15599,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,15597]) ).

cnf(15600,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15598]) ).

cnf(15601,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15599]) ).

cnf(15602,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15600]) ).

cnf(15603,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15601]) ).

cnf(15604,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15602]) ).

cnf(15605,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15603]) ).

cnf(15606,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15604]) ).

cnf(15607,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15605]) ).

cnf(15608,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15606]) ).

cnf(15609,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15607]) ).

cnf(15610,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15608]) ).

cnf(15611,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15609]) ).

cnf(15612,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15610]) ).

cnf(15613,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15611]) ).

cnf(15614,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,15612]) ).

cnf(15615,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,15613]) ).

cnf(15616,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15614]) ).

cnf(15617,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15615]) ).

cnf(15618,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15616]) ).

cnf(15619,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15617]) ).

cnf(15620,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15618]) ).

cnf(15621,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15619]) ).

cnf(15622,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15620]) ).

cnf(15623,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15621]) ).

cnf(15624,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15622]) ).

cnf(15625,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15623]) ).

cnf(15626,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15624]) ).

cnf(15627,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15625]) ).

cnf(15628,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15626]) ).

cnf(15629,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15627]) ).

cnf(15630,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,15628]) ).

cnf(15631,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,15629]) ).

cnf(15632,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15630]) ).

cnf(15633,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15631]) ).

cnf(15634,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15632]) ).

cnf(15635,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15633]) ).

cnf(15636,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15634]) ).

cnf(15637,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15635]) ).

cnf(15638,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15636]) ).

cnf(15639,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15637]) ).

cnf(15640,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15638]) ).

cnf(15641,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15639]) ).

cnf(15642,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15640]) ).

cnf(15643,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15641]) ).

cnf(15644,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15642]) ).

cnf(15645,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15643]) ).

cnf(15646,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,15644]) ).

cnf(15647,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,15645]) ).

cnf(15648,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15646]) ).

cnf(15649,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15647]) ).

cnf(15650,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15648]) ).

cnf(15651,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15649]) ).

cnf(15652,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15650]) ).

cnf(15653,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15651]) ).

cnf(15654,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15652]) ).

cnf(15655,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15653]) ).

cnf(15656,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15654]) ).

cnf(15657,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15655]) ).

cnf(15658,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15656]) ).

cnf(15659,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15657]) ).

cnf(15660,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15658]) ).

cnf(15661,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15659]) ).

cnf(15662,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,15660]) ).

cnf(15663,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,15661]) ).

cnf(15664,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15662]) ).

cnf(15665,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15663]) ).

cnf(15666,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15664]) ).

cnf(15667,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15665]) ).

cnf(15668,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15666]) ).

cnf(15669,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15667]) ).

cnf(15670,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15668]) ).

cnf(15671,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15669]) ).

cnf(15672,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15670]) ).

cnf(15673,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15671]) ).

cnf(15674,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15672]) ).

cnf(15675,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15673]) ).

cnf(15676,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15674]) ).

cnf(15677,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15675]) ).

cnf(15678,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,15676]) ).

cnf(15679,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,15677]) ).

cnf(15680,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15678]) ).

cnf(15681,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15679]) ).

cnf(15682,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15680]) ).

cnf(15683,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15681]) ).

cnf(15684,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15682]) ).

cnf(15685,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15683]) ).

cnf(15686,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15684]) ).

cnf(15687,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15685]) ).

cnf(15688,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15686]) ).

cnf(15689,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15687]) ).

cnf(15690,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15688]) ).

cnf(15691,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15689]) ).

cnf(15692,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15690]) ).

cnf(15693,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15691]) ).

cnf(15694,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,15692]) ).

cnf(15695,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,15693]) ).

cnf(15696,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15694]) ).

cnf(15697,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15695]) ).

cnf(15698,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15696]) ).

cnf(15699,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15697]) ).

cnf(15700,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15698]) ).

cnf(15701,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15699]) ).

cnf(15702,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15700]) ).

cnf(15703,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15701]) ).

cnf(15704,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15702]) ).

cnf(15705,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15703]) ).

cnf(15706,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15704]) ).

cnf(15707,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15705]) ).

cnf(15708,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15706]) ).

cnf(15709,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15707]) ).

cnf(15710,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,15708]) ).

cnf(15711,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,15709]) ).

cnf(15712,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15710]) ).

cnf(15713,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15711]) ).

cnf(15714,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15712]) ).

cnf(15715,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15713]) ).

cnf(15716,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15714]) ).

cnf(15717,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15715]) ).

cnf(15718,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15716]) ).

cnf(15719,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15717]) ).

cnf(15720,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15718]) ).

cnf(15721,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15719]) ).

cnf(15722,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15720]) ).

cnf(15723,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15721]) ).

cnf(15724,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15722]) ).

cnf(15725,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15723]) ).

cnf(15726,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,15724]) ).

cnf(15727,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,15725]) ).

cnf(15728,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15726]) ).

cnf(15729,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15727]) ).

cnf(15730,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15728]) ).

cnf(15731,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15729]) ).

cnf(15732,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15730]) ).

cnf(15733,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15731]) ).

cnf(15734,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15732]) ).

cnf(15735,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15733]) ).

cnf(15736,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15734]) ).

cnf(15737,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15735]) ).

cnf(15738,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15736]) ).

cnf(15739,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15737]) ).

cnf(15740,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15738]) ).

cnf(15741,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15739]) ).

cnf(15742,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,15740]) ).

cnf(15743,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,15741]) ).

cnf(15744,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15742]) ).

cnf(15745,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15743]) ).

cnf(15746,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15744]) ).

cnf(15747,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15745]) ).

cnf(15748,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15746]) ).

cnf(15749,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15747]) ).

cnf(15750,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15748]) ).

cnf(15751,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15749]) ).

cnf(15752,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15750]) ).

cnf(15753,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15751]) ).

cnf(15754,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15752]) ).

cnf(15755,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15753]) ).

cnf(15756,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15754]) ).

cnf(15757,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15755]) ).

cnf(15758,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,15756]) ).

cnf(15759,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,15757]) ).

cnf(15760,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15758]) ).

cnf(15761,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15759]) ).

cnf(15762,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15760]) ).

cnf(15763,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15761]) ).

cnf(15764,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15762]) ).

cnf(15765,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15763]) ).

cnf(15766,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15764]) ).

cnf(15767,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15765]) ).

cnf(15768,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15766]) ).

cnf(15769,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15767]) ).

cnf(15770,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15768]) ).

cnf(15771,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15769]) ).

cnf(15772,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15770]) ).

cnf(15773,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15771]) ).

cnf(15774,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,15772]) ).

cnf(15775,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,15773]) ).

cnf(15776,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15774]) ).

cnf(15777,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15775]) ).

cnf(15778,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15776]) ).

cnf(15779,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15777]) ).

cnf(15780,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15778]) ).

cnf(15781,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15779]) ).

cnf(15782,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15780]) ).

cnf(15783,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15781]) ).

cnf(15784,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15782]) ).

cnf(15785,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15783]) ).

cnf(15786,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15784]) ).

cnf(15787,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15785]) ).

cnf(15788,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15786]) ).

cnf(15789,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15787]) ).

cnf(15790,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,15788]) ).

cnf(15791,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,15789]) ).

cnf(15792,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15790]) ).

cnf(15793,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15791]) ).

cnf(15794,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15792]) ).

cnf(15795,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15793]) ).

cnf(15796,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15794]) ).

cnf(15797,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15795]) ).

cnf(15798,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15796]) ).

cnf(15799,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15797]) ).

cnf(15800,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15798]) ).

cnf(15801,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15799]) ).

cnf(15802,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15800]) ).

cnf(15803,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15801]) ).

cnf(15804,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15802]) ).

cnf(15805,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15803]) ).

cnf(15806,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,15804]) ).

cnf(15807,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,15805]) ).

cnf(15808,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15806]) ).

cnf(15809,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15807]) ).

cnf(15810,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15808]) ).

cnf(15811,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15809]) ).

cnf(15812,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15810]) ).

cnf(15813,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15811]) ).

cnf(15814,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15812]) ).

cnf(15815,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15813]) ).

cnf(15816,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15814]) ).

cnf(15817,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15815]) ).

cnf(15818,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15816]) ).

cnf(15819,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15817]) ).

cnf(15820,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15818]) ).

cnf(15821,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15819]) ).

cnf(15822,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,15820]) ).

cnf(15823,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,15821]) ).

cnf(15824,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15822]) ).

cnf(15825,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15823]) ).

cnf(15826,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15824]) ).

cnf(15827,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15825]) ).

cnf(15828,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15826]) ).

cnf(15829,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15827]) ).

cnf(15830,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15828]) ).

cnf(15831,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15829]) ).

cnf(15832,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15830]) ).

cnf(15833,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15831]) ).

cnf(15834,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15832]) ).

cnf(15835,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15833]) ).

cnf(15836,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15834]) ).

cnf(15837,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15835]) ).

cnf(15838,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,15836]) ).

cnf(15839,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,15837]) ).

cnf(15840,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15838]) ).

cnf(15841,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15839]) ).

cnf(15842,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15840]) ).

cnf(15843,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15841]) ).

cnf(15844,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15842]) ).

cnf(15845,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15843]) ).

cnf(15846,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15844]) ).

cnf(15847,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15845]) ).

cnf(15848,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15846]) ).

cnf(15849,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15847]) ).

cnf(15850,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15848]) ).

cnf(15851,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15849]) ).

cnf(15852,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15850]) ).

cnf(15853,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15851]) ).

cnf(15854,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,15852]) ).

cnf(15855,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,15853]) ).

cnf(15856,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15854]) ).

cnf(15857,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15855]) ).

cnf(15858,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15856]) ).

cnf(15859,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15857]) ).

cnf(15860,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15858]) ).

cnf(15861,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15859]) ).

cnf(15862,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15860]) ).

cnf(15863,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15861]) ).

cnf(15864,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15862]) ).

cnf(15865,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15863]) ).

cnf(15866,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15864]) ).

cnf(15867,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15865]) ).

cnf(15868,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15866]) ).

cnf(15869,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15867]) ).

cnf(15870,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,15868]) ).

cnf(15871,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,15869]) ).

cnf(15872,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15870]) ).

cnf(15873,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15871]) ).

cnf(15874,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15872]) ).

cnf(15875,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15873]) ).

cnf(15876,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15874]) ).

cnf(15877,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15875]) ).

cnf(15878,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15876]) ).

cnf(15879,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15877]) ).

cnf(15880,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15878]) ).

cnf(15881,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15879]) ).

cnf(15882,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15880]) ).

cnf(15883,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15881]) ).

cnf(15884,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15882]) ).

cnf(15885,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15883]) ).

cnf(15886,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,15884]) ).

cnf(15887,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,15885]) ).

cnf(15888,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15886]) ).

cnf(15889,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15887]) ).

cnf(15890,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15888]) ).

cnf(15891,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15889]) ).

cnf(15892,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15890]) ).

cnf(15893,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15891]) ).

cnf(15894,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15892]) ).

cnf(15895,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15893]) ).

cnf(15896,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15894]) ).

cnf(15897,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15895]) ).

cnf(15898,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15896]) ).

cnf(15899,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15897]) ).

cnf(15900,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15898]) ).

cnf(15901,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15899]) ).

cnf(15902,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[11,15900]) ).

cnf(15903,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[11,15901]) ).

cnf(15904,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15902]) ).

cnf(15905,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15903]) ).

cnf(15906,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15904]) ).

cnf(15907,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15905]) ).

cnf(15908,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15906]) ).

cnf(15909,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15907]) ).

cnf(15910,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15908]) ).

cnf(15911,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15909]) ).

cnf(15912,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15910]) ).

cnf(15913,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15911]) ).

cnf(15914,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15912]) ).

cnf(15915,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15913]) ).

cnf(15916,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15914]) ).

cnf(15917,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15915]) ).

cnf(15918,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,15916]) ).

cnf(15919,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,15917]) ).

cnf(15920,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15918]) ).

cnf(15921,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15919]) ).

cnf(15922,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15920]) ).

cnf(15923,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15921]) ).

cnf(15924,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15922]) ).

cnf(15925,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15923]) ).

cnf(15926,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15924]) ).

cnf(15927,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15925]) ).

cnf(15928,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15926]) ).

cnf(15929,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15927]) ).

cnf(15930,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15928]) ).

cnf(15931,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15929]) ).

cnf(15932,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15930]) ).

cnf(15933,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15931]) ).

cnf(15934,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,15932]) ).

cnf(15935,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,15933]) ).

cnf(15936,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15934]) ).

cnf(15937,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15935]) ).

cnf(15938,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15936]) ).

cnf(15939,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15937]) ).

cnf(15940,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15938]) ).

cnf(15941,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15939]) ).

cnf(15942,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15940]) ).

cnf(15943,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15941]) ).

cnf(15944,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15942]) ).

cnf(15945,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15943]) ).

cnf(15946,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15944]) ).

cnf(15947,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15945]) ).

cnf(15948,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15946]) ).

cnf(15949,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15947]) ).

cnf(15950,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,15948]) ).

cnf(15951,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,15949]) ).

cnf(15952,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15950]) ).

cnf(15953,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15951]) ).

cnf(15954,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15952]) ).

cnf(15955,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15953]) ).

cnf(15956,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15954]) ).

cnf(15957,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15955]) ).

cnf(15958,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15956]) ).

cnf(15959,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15957]) ).

cnf(15960,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15958]) ).

cnf(15961,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15959]) ).

cnf(15962,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15960]) ).

cnf(15963,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15961]) ).

cnf(15964,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15962]) ).

cnf(15965,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15963]) ).

cnf(15966,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,15964]) ).

cnf(15967,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,15965]) ).

cnf(15968,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15966]) ).

cnf(15969,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15967]) ).

cnf(15970,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15968]) ).

cnf(15971,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15969]) ).

cnf(15972,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15970]) ).

cnf(15973,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15971]) ).

cnf(15974,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15972]) ).

cnf(15975,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15973]) ).

cnf(15976,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15974]) ).

cnf(15977,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15975]) ).

cnf(15978,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15976]) ).

cnf(15979,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15977]) ).

cnf(15980,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15978]) ).

cnf(15981,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15979]) ).

cnf(15982,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,15980]) ).

cnf(15983,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,15981]) ).

cnf(15984,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15982]) ).

cnf(15985,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15983]) ).

cnf(15986,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15984]) ).

cnf(15987,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15985]) ).

cnf(15988,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15986]) ).

cnf(15989,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15987]) ).

cnf(15990,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,15988]) ).

cnf(15991,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,15989]) ).

cnf(15992,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15990]) ).

cnf(15993,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15991]) ).

cnf(15994,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,15992]) ).

cnf(15995,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,15993]) ).

cnf(15996,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15994]) ).

cnf(15997,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15995]) ).

cnf(15998,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,15996]) ).

cnf(15999,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,15997]) ).

cnf(16000,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,15998]) ).

cnf(16001,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,15999]) ).

cnf(16002,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16000]) ).

cnf(16003,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16001]) ).

cnf(16004,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16002]) ).

cnf(16005,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16003]) ).

cnf(16006,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16004]) ).

cnf(16007,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16005]) ).

cnf(16008,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16006]) ).

cnf(16009,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16007]) ).

cnf(16010,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16008]) ).

cnf(16011,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16009]) ).

cnf(16012,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16010]) ).

cnf(16013,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16011]) ).

cnf(16014,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,16012]) ).

cnf(16015,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,16013]) ).

cnf(16016,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16014]) ).

cnf(16017,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16015]) ).

cnf(16018,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16016]) ).

cnf(16019,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16017]) ).

cnf(16020,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16018]) ).

cnf(16021,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16019]) ).

cnf(16022,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16020]) ).

cnf(16023,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16021]) ).

cnf(16024,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16022]) ).

cnf(16025,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16023]) ).

cnf(16026,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16024]) ).

cnf(16027,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16025]) ).

cnf(16028,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16026]) ).

cnf(16029,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16027]) ).

cnf(16030,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,16028]) ).

cnf(16031,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,16029]) ).

cnf(16032,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16030]) ).

cnf(16033,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16031]) ).

cnf(16034,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16032]) ).

cnf(16035,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16033]) ).

cnf(16036,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16034]) ).

cnf(16037,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16035]) ).

cnf(16038,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16036]) ).

cnf(16039,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16037]) ).

cnf(16040,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16038]) ).

cnf(16041,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16039]) ).

cnf(16042,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16040]) ).

cnf(16043,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16041]) ).

cnf(16044,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16042]) ).

cnf(16045,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16043]) ).

cnf(16046,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,16044]) ).

cnf(16047,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,16045]) ).

cnf(16048,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16046]) ).

cnf(16049,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16047]) ).

cnf(16050,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16048]) ).

cnf(16051,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16049]) ).

cnf(16052,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16050]) ).

cnf(16053,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16051]) ).

cnf(16054,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16052]) ).

cnf(16055,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16053]) ).

cnf(16056,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16054]) ).

cnf(16057,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16055]) ).

cnf(16058,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16056]) ).

cnf(16059,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16057]) ).

cnf(16060,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16058]) ).

cnf(16061,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16059]) ).

cnf(16062,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,16060]) ).

cnf(16063,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,16061]) ).

cnf(16064,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16062]) ).

cnf(16065,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16063]) ).

cnf(16066,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16064]) ).

cnf(16067,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16065]) ).

cnf(16068,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16066]) ).

cnf(16069,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16067]) ).

cnf(16070,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16068]) ).

cnf(16071,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16069]) ).

cnf(16072,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16070]) ).

cnf(16073,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16071]) ).

cnf(16074,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16072]) ).

cnf(16075,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16073]) ).

cnf(16076,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16074]) ).

cnf(16077,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16075]) ).

cnf(16078,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,16076]) ).

cnf(16079,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,16077]) ).

cnf(16080,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16078]) ).

cnf(16081,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16079]) ).

cnf(16082,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16080]) ).

cnf(16083,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16081]) ).

cnf(16084,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16082]) ).

cnf(16085,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16083]) ).

cnf(16086,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16084]) ).

cnf(16087,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16085]) ).

cnf(16088,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16086]) ).

cnf(16089,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16087]) ).

cnf(16090,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16088]) ).

cnf(16091,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16089]) ).

cnf(16092,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16090]) ).

cnf(16093,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16091]) ).

cnf(16094,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,16092]) ).

cnf(16095,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,16093]) ).

cnf(16096,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16094]) ).

cnf(16097,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16095]) ).

cnf(16098,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16096]) ).

cnf(16099,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16097]) ).

cnf(16100,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16098]) ).

cnf(16101,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16099]) ).

cnf(16102,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16100]) ).

cnf(16103,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16101]) ).

cnf(16104,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16102]) ).

cnf(16105,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16103]) ).

cnf(16106,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16104]) ).

cnf(16107,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16105]) ).

cnf(16108,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16106]) ).

cnf(16109,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16107]) ).

cnf(16110,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,16108]) ).

cnf(16111,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,16109]) ).

cnf(16112,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16110]) ).

cnf(16113,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16111]) ).

cnf(16114,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16112]) ).

cnf(16115,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16113]) ).

cnf(16116,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16114]) ).

cnf(16117,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16115]) ).

cnf(16118,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16116]) ).

cnf(16119,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16117]) ).

cnf(16120,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16118]) ).

cnf(16121,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16119]) ).

cnf(16122,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16120]) ).

cnf(16123,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16121]) ).

cnf(16124,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16122]) ).

cnf(16125,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16123]) ).

cnf(16126,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,16124]) ).

cnf(16127,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,16125]) ).

cnf(16128,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16126]) ).

cnf(16129,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16127]) ).

cnf(16130,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16128]) ).

cnf(16131,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16129]) ).

cnf(16132,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16130]) ).

cnf(16133,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16131]) ).

cnf(16134,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16132]) ).

cnf(16135,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16133]) ).

cnf(16136,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16134]) ).

cnf(16137,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16135]) ).

cnf(16138,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16136]) ).

cnf(16139,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16137]) ).

cnf(16140,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16138]) ).

cnf(16141,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16139]) ).

cnf(16142,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,16140]) ).

cnf(16143,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,16141]) ).

cnf(16144,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16142]) ).

cnf(16145,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16143]) ).

cnf(16146,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16144]) ).

cnf(16147,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16145]) ).

cnf(16148,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16146]) ).

cnf(16149,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16147]) ).

cnf(16150,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16148]) ).

cnf(16151,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16149]) ).

cnf(16152,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16150]) ).

cnf(16153,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16151]) ).

cnf(16154,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16152]) ).

cnf(16155,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16153]) ).

cnf(16156,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16154]) ).

cnf(16157,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16155]) ).

cnf(16158,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,16156]) ).

cnf(16159,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,16157]) ).

cnf(16160,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16158]) ).

cnf(16161,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16159]) ).

cnf(16162,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16160]) ).

cnf(16163,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16161]) ).

cnf(16164,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16162]) ).

cnf(16165,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16163]) ).

cnf(16166,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16164]) ).

cnf(16167,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16165]) ).

cnf(16168,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16166]) ).

cnf(16169,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16167]) ).

cnf(16170,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16168]) ).

cnf(16171,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16169]) ).

cnf(16172,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16170]) ).

cnf(16173,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16171]) ).

cnf(16174,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,16172]) ).

cnf(16175,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,16173]) ).

cnf(16176,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16174]) ).

cnf(16177,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16175]) ).

cnf(16178,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16176]) ).

cnf(16179,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16177]) ).

cnf(16180,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16178]) ).

cnf(16181,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16179]) ).

cnf(16182,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16180]) ).

cnf(16183,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16181]) ).

cnf(16184,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16182]) ).

cnf(16185,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16183]) ).

cnf(16186,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16184]) ).

cnf(16187,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16185]) ).

cnf(16188,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16186]) ).

cnf(16189,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16187]) ).

cnf(16190,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,16188]) ).

cnf(16191,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,16189]) ).

cnf(16192,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16190]) ).

cnf(16193,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16191]) ).

cnf(16194,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16192]) ).

cnf(16195,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16193]) ).

cnf(16196,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16194]) ).

cnf(16197,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16195]) ).

cnf(16198,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16196]) ).

cnf(16199,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16197]) ).

cnf(16200,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16198]) ).

cnf(16201,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16199]) ).

cnf(16202,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16200]) ).

cnf(16203,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16201]) ).

cnf(16204,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16202]) ).

cnf(16205,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16203]) ).

cnf(16206,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,16204]) ).

cnf(16207,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,16205]) ).

cnf(16208,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16206]) ).

cnf(16209,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16207]) ).

cnf(16210,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16208]) ).

cnf(16211,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16209]) ).

cnf(16212,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16210]) ).

cnf(16213,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16211]) ).

cnf(16214,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16212]) ).

cnf(16215,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16213]) ).

cnf(16216,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16214]) ).

cnf(16217,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16215]) ).

cnf(16218,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16216]) ).

cnf(16219,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16217]) ).

cnf(16220,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16218]) ).

cnf(16221,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16219]) ).

cnf(16222,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,16220]) ).

cnf(16223,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,16221]) ).

cnf(16224,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16222]) ).

cnf(16225,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16223]) ).

cnf(16226,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16224]) ).

cnf(16227,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16225]) ).

cnf(16228,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16226]) ).

cnf(16229,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16227]) ).

cnf(16230,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16228]) ).

cnf(16231,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16229]) ).

cnf(16232,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16230]) ).

cnf(16233,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16231]) ).

cnf(16234,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16232]) ).

cnf(16235,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16233]) ).

cnf(16236,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16234]) ).

cnf(16237,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16235]) ).

cnf(16238,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,16236]) ).

cnf(16239,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,16237]) ).

cnf(16240,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16238]) ).

cnf(16241,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16239]) ).

cnf(16242,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16240]) ).

cnf(16243,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16241]) ).

cnf(16244,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16242]) ).

cnf(16245,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16243]) ).

cnf(16246,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16244]) ).

cnf(16247,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16245]) ).

cnf(16248,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16246]) ).

cnf(16249,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16247]) ).

cnf(16250,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16248]) ).

cnf(16251,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16249]) ).

cnf(16252,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16250]) ).

cnf(16253,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16251]) ).

cnf(16254,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,16252]) ).

cnf(16255,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,16253]) ).

cnf(16256,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16254]) ).

cnf(16257,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16255]) ).

cnf(16258,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16256]) ).

cnf(16259,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16257]) ).

cnf(16260,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16258]) ).

cnf(16261,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16259]) ).

cnf(16262,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16260]) ).

cnf(16263,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16261]) ).

cnf(16264,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16262]) ).

cnf(16265,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16263]) ).

cnf(16266,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16264]) ).

cnf(16267,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16265]) ).

cnf(16268,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16266]) ).

cnf(16269,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16267]) ).

cnf(16270,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,16268]) ).

cnf(16271,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,16269]) ).

cnf(16272,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16270]) ).

cnf(16273,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16271]) ).

cnf(16274,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16272]) ).

cnf(16275,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16273]) ).

cnf(16276,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16274]) ).

cnf(16277,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16275]) ).

cnf(16278,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16276]) ).

cnf(16279,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16277]) ).

cnf(16280,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16278]) ).

cnf(16281,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16279]) ).

cnf(16282,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16280]) ).

cnf(16283,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16281]) ).

cnf(16284,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16282]) ).

cnf(16285,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16283]) ).

cnf(16286,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,16284]) ).

cnf(16287,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,16285]) ).

cnf(16288,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16286]) ).

cnf(16289,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16287]) ).

cnf(16290,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16288]) ).

cnf(16291,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16289]) ).

cnf(16292,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16290]) ).

cnf(16293,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16291]) ).

cnf(16294,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16292]) ).

cnf(16295,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16293]) ).

cnf(16296,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16294]) ).

cnf(16297,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16295]) ).

cnf(16298,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16296]) ).

cnf(16299,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16297]) ).

cnf(16300,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16298]) ).

cnf(16301,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16299]) ).

cnf(16302,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,16300]) ).

cnf(16303,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,16301]) ).

cnf(16304,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16302]) ).

cnf(16305,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16303]) ).

cnf(16306,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16304]) ).

cnf(16307,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16305]) ).

cnf(16308,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16306]) ).

cnf(16309,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16307]) ).

cnf(16310,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16308]) ).

cnf(16311,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16309]) ).

cnf(16312,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16310]) ).

cnf(16313,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16311]) ).

cnf(16314,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16312]) ).

cnf(16315,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16313]) ).

cnf(16316,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16314]) ).

cnf(16317,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16315]) ).

cnf(16318,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,16316]) ).

cnf(16319,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,16317]) ).

cnf(16320,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16318]) ).

cnf(16321,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16319]) ).

cnf(16322,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16320]) ).

cnf(16323,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16321]) ).

cnf(16324,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16322]) ).

cnf(16325,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16323]) ).

cnf(16326,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16324]) ).

cnf(16327,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16325]) ).

cnf(16328,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16326]) ).

cnf(16329,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16327]) ).

cnf(16330,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16328]) ).

cnf(16331,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16329]) ).

cnf(16332,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16330]) ).

cnf(16333,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16331]) ).

cnf(16334,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,16332]) ).

cnf(16335,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,16333]) ).

cnf(16336,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16334]) ).

cnf(16337,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16335]) ).

cnf(16338,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16336]) ).

cnf(16339,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16337]) ).

cnf(16340,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16338]) ).

cnf(16341,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16339]) ).

cnf(16342,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16340]) ).

cnf(16343,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16341]) ).

cnf(16344,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16342]) ).

cnf(16345,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16343]) ).

cnf(16346,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16344]) ).

cnf(16347,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16345]) ).

cnf(16348,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16346]) ).

cnf(16349,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16347]) ).

cnf(16350,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,16348]) ).

cnf(16351,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,16349]) ).

cnf(16352,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16350]) ).

cnf(16353,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16351]) ).

cnf(16354,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16352]) ).

cnf(16355,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16353]) ).

cnf(16356,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16354]) ).

cnf(16357,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16355]) ).

cnf(16358,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16356]) ).

cnf(16359,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16357]) ).

cnf(16360,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16358]) ).

cnf(16361,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16359]) ).

cnf(16362,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16360]) ).

cnf(16363,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16361]) ).

cnf(16364,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16362]) ).

cnf(16365,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16363]) ).

cnf(16366,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,16364]) ).

cnf(16367,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,16365]) ).

cnf(16368,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16366]) ).

cnf(16369,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16367]) ).

cnf(16370,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16368]) ).

cnf(16371,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16369]) ).

cnf(16372,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16370]) ).

cnf(16373,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16371]) ).

cnf(16374,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16372]) ).

cnf(16375,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16373]) ).

cnf(16376,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16374]) ).

cnf(16377,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16375]) ).

cnf(16378,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16376]) ).

cnf(16379,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16377]) ).

cnf(16380,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16378]) ).

cnf(16381,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16379]) ).

cnf(16382,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,16380]) ).

cnf(16383,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,16381]) ).

cnf(16384,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16382]) ).

cnf(16385,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16383]) ).

cnf(16386,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16384]) ).

cnf(16387,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16385]) ).

cnf(16388,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16386]) ).

cnf(16389,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16387]) ).

cnf(16390,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16388]) ).

cnf(16391,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16389]) ).

cnf(16392,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16390]) ).

cnf(16393,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16391]) ).

cnf(16394,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16392]) ).

cnf(16395,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16393]) ).

cnf(16396,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16394]) ).

cnf(16397,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16395]) ).

cnf(16398,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,16396]) ).

cnf(16399,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,16397]) ).

cnf(16400,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16398]) ).

cnf(16401,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16399]) ).

cnf(16402,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16400]) ).

cnf(16403,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16401]) ).

cnf(16404,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16402]) ).

cnf(16405,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16403]) ).

cnf(16406,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16404]) ).

cnf(16407,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16405]) ).

cnf(16408,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16406]) ).

cnf(16409,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16407]) ).

cnf(16410,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16408]) ).

cnf(16411,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16409]) ).

cnf(16412,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16410]) ).

cnf(16413,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16411]) ).

cnf(16414,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[16,16412]) ).

cnf(16415,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[16,16413]) ).

cnf(16416,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16414]) ).

cnf(16417,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16415]) ).

cnf(16418,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16416]) ).

cnf(16419,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16417]) ).

cnf(16420,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16418]) ).

cnf(16421,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16419]) ).

cnf(16422,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16420]) ).

cnf(16423,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16421]) ).

cnf(16424,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16422]) ).

cnf(16425,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16423]) ).

cnf(16426,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16424]) ).

cnf(16427,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16425]) ).

cnf(16428,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16426]) ).

cnf(16429,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16427]) ).

cnf(16430,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,16428]) ).

cnf(16431,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,16429]) ).

cnf(16432,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16430]) ).

cnf(16433,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16431]) ).

cnf(16434,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16432]) ).

cnf(16435,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16433]) ).

cnf(16436,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16434]) ).

cnf(16437,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16435]) ).

cnf(16438,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16436]) ).

cnf(16439,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16437]) ).

cnf(16440,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16438]) ).

cnf(16441,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16439]) ).

cnf(16442,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16440]) ).

cnf(16443,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16441]) ).

cnf(16444,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16442]) ).

cnf(16445,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16443]) ).

cnf(16446,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,16444]) ).

cnf(16447,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,16445]) ).

cnf(16448,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16446]) ).

cnf(16449,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16447]) ).

cnf(16450,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16448]) ).

cnf(16451,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16449]) ).

cnf(16452,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16450]) ).

cnf(16453,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16451]) ).

cnf(16454,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16452]) ).

cnf(16455,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16453]) ).

cnf(16456,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16454]) ).

cnf(16457,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16455]) ).

cnf(16458,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16456]) ).

cnf(16459,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16457]) ).

cnf(16460,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16458]) ).

cnf(16461,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16459]) ).

cnf(16462,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,16460]) ).

cnf(16463,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,16461]) ).

cnf(16464,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16462]) ).

cnf(16465,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16463]) ).

cnf(16466,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16464]) ).

cnf(16467,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16465]) ).

cnf(16468,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16466]) ).

cnf(16469,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16467]) ).

cnf(16470,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16468]) ).

cnf(16471,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16469]) ).

cnf(16472,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16470]) ).

cnf(16473,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16471]) ).

cnf(16474,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16472]) ).

cnf(16475,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16473]) ).

cnf(16476,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16474]) ).

cnf(16477,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16475]) ).

cnf(16478,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,16476]) ).

cnf(16479,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,16477]) ).

cnf(16480,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16478]) ).

cnf(16481,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16479]) ).

cnf(16482,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16480]) ).

cnf(16483,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16481]) ).

cnf(16484,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16482]) ).

cnf(16485,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16483]) ).

cnf(16486,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16484]) ).

cnf(16487,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16485]) ).

cnf(16488,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16486]) ).

cnf(16489,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16487]) ).

cnf(16490,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16488]) ).

cnf(16491,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16489]) ).

cnf(16492,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16490]) ).

cnf(16493,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16491]) ).

cnf(16494,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,16492]) ).

cnf(16495,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,16493]) ).

cnf(16496,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16494]) ).

cnf(16497,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16495]) ).

cnf(16498,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16496]) ).

cnf(16499,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16497]) ).

cnf(16500,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16498]) ).

cnf(16501,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16499]) ).

cnf(16502,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16500]) ).

cnf(16503,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16501]) ).

cnf(16504,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16502]) ).

cnf(16505,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16503]) ).

cnf(16506,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16504]) ).

cnf(16507,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16505]) ).

cnf(16508,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16506]) ).

cnf(16509,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16507]) ).

cnf(16510,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,16508]) ).

cnf(16511,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,16509]) ).

cnf(16512,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16510]) ).

cnf(16513,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16511]) ).

cnf(16514,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16512]) ).

cnf(16515,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16513]) ).

cnf(16516,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16514]) ).

cnf(16517,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16515]) ).

cnf(16518,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16516]) ).

cnf(16519,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16517]) ).

cnf(16520,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16518]) ).

cnf(16521,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16519]) ).

cnf(16522,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16520]) ).

cnf(16523,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16521]) ).

cnf(16524,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16522]) ).

cnf(16525,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16523]) ).

cnf(16526,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,16524]) ).

cnf(16527,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,16525]) ).

cnf(16528,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16526]) ).

cnf(16529,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16527]) ).

cnf(16530,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16528]) ).

cnf(16531,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16529]) ).

cnf(16532,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16530]) ).

cnf(16533,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16531]) ).

cnf(16534,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16532]) ).

cnf(16535,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16533]) ).

cnf(16536,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16534]) ).

cnf(16537,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16535]) ).

cnf(16538,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16536]) ).

cnf(16539,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16537]) ).

cnf(16540,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16538]) ).

cnf(16541,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16539]) ).

cnf(16542,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,16540]) ).

cnf(16543,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,16541]) ).

cnf(16544,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16542]) ).

cnf(16545,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16543]) ).

cnf(16546,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16544]) ).

cnf(16547,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16545]) ).

cnf(16548,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16546]) ).

cnf(16549,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16547]) ).

cnf(16550,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16548]) ).

cnf(16551,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16549]) ).

cnf(16552,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16550]) ).

cnf(16553,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16551]) ).

cnf(16554,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16552]) ).

cnf(16555,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16553]) ).

cnf(16556,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16554]) ).

cnf(16557,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16555]) ).

cnf(16558,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,16556]) ).

cnf(16559,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,16557]) ).

cnf(16560,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16558]) ).

cnf(16561,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16559]) ).

cnf(16562,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16560]) ).

cnf(16563,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16561]) ).

cnf(16564,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16562]) ).

cnf(16565,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16563]) ).

cnf(16566,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16564]) ).

cnf(16567,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16565]) ).

cnf(16568,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16566]) ).

cnf(16569,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16567]) ).

cnf(16570,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16568]) ).

cnf(16571,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16569]) ).

cnf(16572,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16570]) ).

cnf(16573,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16571]) ).

cnf(16574,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,16572]) ).

cnf(16575,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,16573]) ).

cnf(16576,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16574]) ).

cnf(16577,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16575]) ).

cnf(16578,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16576]) ).

cnf(16579,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16577]) ).

cnf(16580,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16578]) ).

cnf(16581,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16579]) ).

cnf(16582,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16580]) ).

cnf(16583,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16581]) ).

cnf(16584,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16582]) ).

cnf(16585,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16583]) ).

cnf(16586,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16584]) ).

cnf(16587,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16585]) ).

cnf(16588,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16586]) ).

cnf(16589,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16587]) ).

cnf(16590,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,16588]) ).

cnf(16591,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,16589]) ).

cnf(16592,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16590]) ).

cnf(16593,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16591]) ).

cnf(16594,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16592]) ).

cnf(16595,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16593]) ).

cnf(16596,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16594]) ).

cnf(16597,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16595]) ).

cnf(16598,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16596]) ).

cnf(16599,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16597]) ).

cnf(16600,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16598]) ).

cnf(16601,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16599]) ).

cnf(16602,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16600]) ).

cnf(16603,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16601]) ).

cnf(16604,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16602]) ).

cnf(16605,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16603]) ).

cnf(16606,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,16604]) ).

cnf(16607,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,16605]) ).

cnf(16608,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16606]) ).

cnf(16609,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16607]) ).

cnf(16610,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16608]) ).

cnf(16611,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16609]) ).

cnf(16612,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16610]) ).

cnf(16613,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16611]) ).

cnf(16614,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16612]) ).

cnf(16615,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16613]) ).

cnf(16616,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16614]) ).

cnf(16617,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16615]) ).

cnf(16618,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16616]) ).

cnf(16619,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16617]) ).

cnf(16620,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16618]) ).

cnf(16621,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16619]) ).

cnf(16622,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,16620]) ).

cnf(16623,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,16621]) ).

cnf(16624,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16622]) ).

cnf(16625,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16623]) ).

cnf(16626,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16624]) ).

cnf(16627,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16625]) ).

cnf(16628,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16626]) ).

cnf(16629,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16627]) ).

cnf(16630,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16628]) ).

cnf(16631,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16629]) ).

cnf(16632,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16630]) ).

cnf(16633,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16631]) ).

cnf(16634,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16632]) ).

cnf(16635,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16633]) ).

cnf(16636,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16634]) ).

cnf(16637,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16635]) ).

cnf(16638,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,16636]) ).

cnf(16639,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,16637]) ).

cnf(16640,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16638]) ).

cnf(16641,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16639]) ).

cnf(16642,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16640]) ).

cnf(16643,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16641]) ).

cnf(16644,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16642]) ).

cnf(16645,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16643]) ).

cnf(16646,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16644]) ).

cnf(16647,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16645]) ).

cnf(16648,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16646]) ).

cnf(16649,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16647]) ).

cnf(16650,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16648]) ).

cnf(16651,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16649]) ).

cnf(16652,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16650]) ).

cnf(16653,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16651]) ).

cnf(16654,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,16652]) ).

cnf(16655,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,16653]) ).

cnf(16656,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16654]) ).

cnf(16657,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16655]) ).

cnf(16658,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16656]) ).

cnf(16659,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16657]) ).

cnf(16660,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16658]) ).

cnf(16661,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16659]) ).

cnf(16662,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16660]) ).

cnf(16663,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16661]) ).

cnf(16664,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16662]) ).

cnf(16665,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16663]) ).

cnf(16666,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16664]) ).

cnf(16667,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16665]) ).

cnf(16668,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16666]) ).

cnf(16669,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16667]) ).

cnf(16670,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,16668]) ).

cnf(16671,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,16669]) ).

cnf(16672,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16670]) ).

cnf(16673,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16671]) ).

cnf(16674,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16672]) ).

cnf(16675,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16673]) ).

cnf(16676,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16674]) ).

cnf(16677,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16675]) ).

cnf(16678,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16676]) ).

cnf(16679,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16677]) ).

cnf(16680,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16678]) ).

cnf(16681,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16679]) ).

cnf(16682,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16680]) ).

cnf(16683,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16681]) ).

cnf(16684,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16682]) ).

cnf(16685,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16683]) ).

cnf(16686,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,16684]) ).

cnf(16687,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,16685]) ).

cnf(16688,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16686]) ).

cnf(16689,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16687]) ).

cnf(16690,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16688]) ).

cnf(16691,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16689]) ).

cnf(16692,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16690]) ).

cnf(16693,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16691]) ).

cnf(16694,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16692]) ).

cnf(16695,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16693]) ).

cnf(16696,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16694]) ).

cnf(16697,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16695]) ).

cnf(16698,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16696]) ).

cnf(16699,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16697]) ).

cnf(16700,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16698]) ).

cnf(16701,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16699]) ).

cnf(16702,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,16700]) ).

cnf(16703,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,16701]) ).

cnf(16704,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16702]) ).

cnf(16705,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16703]) ).

cnf(16706,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16704]) ).

cnf(16707,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16705]) ).

cnf(16708,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16706]) ).

cnf(16709,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16707]) ).

cnf(16710,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16708]) ).

cnf(16711,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16709]) ).

cnf(16712,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16710]) ).

cnf(16713,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16711]) ).

cnf(16714,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16712]) ).

cnf(16715,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16713]) ).

cnf(16716,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16714]) ).

cnf(16717,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16715]) ).

cnf(16718,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,16716]) ).

cnf(16719,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,16717]) ).

cnf(16720,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16718]) ).

cnf(16721,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16719]) ).

cnf(16722,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16720]) ).

cnf(16723,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16721]) ).

cnf(16724,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16722]) ).

cnf(16725,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16723]) ).

cnf(16726,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16724]) ).

cnf(16727,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16725]) ).

cnf(16728,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16726]) ).

cnf(16729,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16727]) ).

cnf(16730,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16728]) ).

cnf(16731,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16729]) ).

cnf(16732,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16730]) ).

cnf(16733,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16731]) ).

cnf(16734,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,16732]) ).

cnf(16735,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,16733]) ).

cnf(16736,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16734]) ).

cnf(16737,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16735]) ).

cnf(16738,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16736]) ).

cnf(16739,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16737]) ).

cnf(16740,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16738]) ).

cnf(16741,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16739]) ).

cnf(16742,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16740]) ).

cnf(16743,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16741]) ).

cnf(16744,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16742]) ).

cnf(16745,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16743]) ).

cnf(16746,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16744]) ).

cnf(16747,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16745]) ).

cnf(16748,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16746]) ).

cnf(16749,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16747]) ).

cnf(16750,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,16748]) ).

cnf(16751,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,16749]) ).

cnf(16752,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16750]) ).

cnf(16753,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16751]) ).

cnf(16754,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16752]) ).

cnf(16755,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16753]) ).

cnf(16756,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16754]) ).

cnf(16757,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16755]) ).

cnf(16758,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16756]) ).

cnf(16759,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16757]) ).

cnf(16760,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16758]) ).

cnf(16761,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16759]) ).

cnf(16762,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16760]) ).

cnf(16763,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16761]) ).

cnf(16764,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16762]) ).

cnf(16765,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16763]) ).

cnf(16766,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,16764]) ).

cnf(16767,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,16765]) ).

cnf(16768,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16766]) ).

cnf(16769,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16767]) ).

cnf(16770,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16768]) ).

cnf(16771,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16769]) ).

cnf(16772,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16770]) ).

cnf(16773,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16771]) ).

cnf(16774,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16772]) ).

cnf(16775,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16773]) ).

cnf(16776,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16774]) ).

cnf(16777,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16775]) ).

cnf(16778,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16776]) ).

cnf(16779,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16777]) ).

cnf(16780,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16778]) ).

cnf(16781,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16779]) ).

cnf(16782,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,16780]) ).

cnf(16783,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,16781]) ).

cnf(16784,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16782]) ).

cnf(16785,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16783]) ).

cnf(16786,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16784]) ).

cnf(16787,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16785]) ).

cnf(16788,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16786]) ).

cnf(16789,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16787]) ).

cnf(16790,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16788]) ).

cnf(16791,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16789]) ).

cnf(16792,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16790]) ).

cnf(16793,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16791]) ).

cnf(16794,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16792]) ).

cnf(16795,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16793]) ).

cnf(16796,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16794]) ).

cnf(16797,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16795]) ).

cnf(16798,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,16796]) ).

cnf(16799,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,16797]) ).

cnf(16800,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16798]) ).

cnf(16801,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16799]) ).

cnf(16802,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16800]) ).

cnf(16803,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16801]) ).

cnf(16804,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16802]) ).

cnf(16805,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16803]) ).

cnf(16806,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16804]) ).

cnf(16807,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16805]) ).

cnf(16808,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16806]) ).

cnf(16809,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16807]) ).

cnf(16810,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16808]) ).

cnf(16811,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16809]) ).

cnf(16812,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16810]) ).

cnf(16813,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16811]) ).

cnf(16814,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,16812]) ).

cnf(16815,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,16813]) ).

cnf(16816,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16814]) ).

cnf(16817,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16815]) ).

cnf(16818,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16816]) ).

cnf(16819,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16817]) ).

cnf(16820,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16818]) ).

cnf(16821,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16819]) ).

cnf(16822,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16820]) ).

cnf(16823,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16821]) ).

cnf(16824,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16822]) ).

cnf(16825,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16823]) ).

cnf(16826,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16824]) ).

cnf(16827,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16825]) ).

cnf(16828,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16826]) ).

cnf(16829,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16827]) ).

cnf(16830,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,16828]) ).

cnf(16831,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,16829]) ).

cnf(16832,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16830]) ).

cnf(16833,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16831]) ).

cnf(16834,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16832]) ).

cnf(16835,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16833]) ).

cnf(16836,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16834]) ).

cnf(16837,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16835]) ).

cnf(16838,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16836]) ).

cnf(16839,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16837]) ).

cnf(16840,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16838]) ).

cnf(16841,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16839]) ).

cnf(16842,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16840]) ).

cnf(16843,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16841]) ).

cnf(16844,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16842]) ).

cnf(16845,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16843]) ).

cnf(16846,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,16844]) ).

cnf(16847,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,16845]) ).

cnf(16848,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16846]) ).

cnf(16849,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16847]) ).

cnf(16850,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16848]) ).

cnf(16851,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16849]) ).

cnf(16852,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16850]) ).

cnf(16853,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16851]) ).

cnf(16854,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16852]) ).

cnf(16855,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16853]) ).

cnf(16856,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16854]) ).

cnf(16857,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16855]) ).

cnf(16858,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16856]) ).

cnf(16859,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16857]) ).

cnf(16860,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16858]) ).

cnf(16861,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16859]) ).

cnf(16862,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,16860]) ).

cnf(16863,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,16861]) ).

cnf(16864,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16862]) ).

cnf(16865,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16863]) ).

cnf(16866,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16864]) ).

cnf(16867,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16865]) ).

cnf(16868,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16866]) ).

cnf(16869,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16867]) ).

cnf(16870,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16868]) ).

cnf(16871,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16869]) ).

cnf(16872,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16870]) ).

cnf(16873,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16871]) ).

cnf(16874,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16872]) ).

cnf(16875,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16873]) ).

cnf(16876,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16874]) ).

cnf(16877,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16875]) ).

cnf(16878,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,16876]) ).

cnf(16879,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,16877]) ).

cnf(16880,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16878]) ).

cnf(16881,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16879]) ).

cnf(16882,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16880]) ).

cnf(16883,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16881]) ).

cnf(16884,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16882]) ).

cnf(16885,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16883]) ).

cnf(16886,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16884]) ).

cnf(16887,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16885]) ).

cnf(16888,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16886]) ).

cnf(16889,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16887]) ).

cnf(16890,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16888]) ).

cnf(16891,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16889]) ).

cnf(16892,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16890]) ).

cnf(16893,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16891]) ).

cnf(16894,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,16892]) ).

cnf(16895,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,16893]) ).

cnf(16896,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16894]) ).

cnf(16897,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16895]) ).

cnf(16898,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16896]) ).

cnf(16899,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16897]) ).

cnf(16900,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16898]) ).

cnf(16901,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16899]) ).

cnf(16902,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16900]) ).

cnf(16903,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16901]) ).

cnf(16904,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16902]) ).

cnf(16905,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16903]) ).

cnf(16906,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16904]) ).

cnf(16907,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16905]) ).

cnf(16908,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16906]) ).

cnf(16909,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16907]) ).

cnf(16910,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,16908]) ).

cnf(16911,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,16909]) ).

cnf(16912,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16910]) ).

cnf(16913,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16911]) ).

cnf(16914,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16912]) ).

cnf(16915,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16913]) ).

cnf(16916,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16914]) ).

cnf(16917,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16915]) ).

cnf(16918,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16916]) ).

cnf(16919,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16917]) ).

cnf(16920,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16918]) ).

cnf(16921,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16919]) ).

cnf(16922,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16920]) ).

cnf(16923,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16921]) ).

cnf(16924,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16922]) ).

cnf(16925,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16923]) ).

cnf(16926,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[11,16924]) ).

cnf(16927,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[11,16925]) ).

cnf(16928,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16926]) ).

cnf(16929,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16927]) ).

cnf(16930,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16928]) ).

cnf(16931,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16929]) ).

cnf(16932,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16930]) ).

cnf(16933,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16931]) ).

cnf(16934,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16932]) ).

cnf(16935,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16933]) ).

cnf(16936,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16934]) ).

cnf(16937,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16935]) ).

cnf(16938,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16936]) ).

cnf(16939,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16937]) ).

cnf(16940,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16938]) ).

cnf(16941,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16939]) ).

cnf(16942,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,16940]) ).

cnf(16943,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,16941]) ).

cnf(16944,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16942]) ).

cnf(16945,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16943]) ).

cnf(16946,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16944]) ).

cnf(16947,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16945]) ).

cnf(16948,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16946]) ).

cnf(16949,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16947]) ).

cnf(16950,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16948]) ).

cnf(16951,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16949]) ).

cnf(16952,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16950]) ).

cnf(16953,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16951]) ).

cnf(16954,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16952]) ).

cnf(16955,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16953]) ).

cnf(16956,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16954]) ).

cnf(16957,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16955]) ).

cnf(16958,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,16956]) ).

cnf(16959,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,16957]) ).

cnf(16960,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16958]) ).

cnf(16961,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16959]) ).

cnf(16962,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16960]) ).

cnf(16963,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16961]) ).

cnf(16964,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16962]) ).

cnf(16965,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16963]) ).

cnf(16966,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16964]) ).

cnf(16967,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16965]) ).

cnf(16968,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16966]) ).

cnf(16969,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16967]) ).

cnf(16970,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16968]) ).

cnf(16971,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16969]) ).

cnf(16972,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16970]) ).

cnf(16973,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16971]) ).

cnf(16974,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,16972]) ).

cnf(16975,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,16973]) ).

cnf(16976,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16974]) ).

cnf(16977,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16975]) ).

cnf(16978,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16976]) ).

cnf(16979,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16977]) ).

cnf(16980,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16978]) ).

cnf(16981,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16979]) ).

cnf(16982,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16980]) ).

cnf(16983,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16981]) ).

cnf(16984,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16982]) ).

cnf(16985,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16983]) ).

cnf(16986,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16984]) ).

cnf(16987,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16985]) ).

cnf(16988,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16986]) ).

cnf(16989,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16987]) ).

cnf(16990,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,16988]) ).

cnf(16991,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,16989]) ).

cnf(16992,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16990]) ).

cnf(16993,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16991]) ).

cnf(16994,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,16992]) ).

cnf(16995,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,16993]) ).

cnf(16996,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16994]) ).

cnf(16997,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16995]) ).

cnf(16998,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,16996]) ).

cnf(16999,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,16997]) ).

cnf(17000,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,16998]) ).

cnf(17001,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,16999]) ).

cnf(17002,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17000]) ).

cnf(17003,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17001]) ).

cnf(17004,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17002]) ).

cnf(17005,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17003]) ).

cnf(17006,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,17004]) ).

cnf(17007,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,17005]) ).

cnf(17008,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17006]) ).

cnf(17009,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17007]) ).

cnf(17010,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17008]) ).

cnf(17011,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17009]) ).

cnf(17012,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17010]) ).

cnf(17013,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17011]) ).

cnf(17014,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17012]) ).

cnf(17015,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17013]) ).

cnf(17016,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17014]) ).

cnf(17017,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17015]) ).

cnf(17018,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17016]) ).

cnf(17019,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17017]) ).

cnf(17020,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17018]) ).

cnf(17021,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17019]) ).

cnf(17022,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,17020]) ).

cnf(17023,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,17021]) ).

cnf(17024,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17022]) ).

cnf(17025,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17023]) ).

cnf(17026,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17024]) ).

cnf(17027,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17025]) ).

cnf(17028,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17026]) ).

cnf(17029,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17027]) ).

cnf(17030,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17028]) ).

cnf(17031,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17029]) ).

cnf(17032,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17030]) ).

cnf(17033,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17031]) ).

cnf(17034,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17032]) ).

cnf(17035,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17033]) ).

cnf(17036,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17034]) ).

cnf(17037,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17035]) ).

cnf(17038,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,17036]) ).

cnf(17039,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,17037]) ).

cnf(17040,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17038]) ).

cnf(17041,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17039]) ).

cnf(17042,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17040]) ).

cnf(17043,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17041]) ).

cnf(17044,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17042]) ).

cnf(17045,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17043]) ).

cnf(17046,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17044]) ).

cnf(17047,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17045]) ).

cnf(17048,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17046]) ).

cnf(17049,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17047]) ).

cnf(17050,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17048]) ).

cnf(17051,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17049]) ).

cnf(17052,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17050]) ).

cnf(17053,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17051]) ).

cnf(17054,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,17052]) ).

cnf(17055,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,17053]) ).

cnf(17056,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17054]) ).

cnf(17057,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17055]) ).

cnf(17058,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17056]) ).

cnf(17059,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17057]) ).

cnf(17060,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17058]) ).

cnf(17061,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17059]) ).

cnf(17062,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17060]) ).

cnf(17063,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17061]) ).

cnf(17064,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17062]) ).

cnf(17065,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17063]) ).

cnf(17066,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17064]) ).

cnf(17067,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17065]) ).

cnf(17068,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17066]) ).

cnf(17069,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17067]) ).

cnf(17070,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,17068]) ).

cnf(17071,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,17069]) ).

cnf(17072,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17070]) ).

cnf(17073,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17071]) ).

cnf(17074,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17072]) ).

cnf(17075,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17073]) ).

cnf(17076,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17074]) ).

cnf(17077,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17075]) ).

cnf(17078,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17076]) ).

cnf(17079,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17077]) ).

cnf(17080,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17078]) ).

cnf(17081,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17079]) ).

cnf(17082,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17080]) ).

cnf(17083,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17081]) ).

cnf(17084,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17082]) ).

cnf(17085,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17083]) ).

cnf(17086,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,17084]) ).

cnf(17087,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,17085]) ).

cnf(17088,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17086]) ).

cnf(17089,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17087]) ).

cnf(17090,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17088]) ).

cnf(17091,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17089]) ).

cnf(17092,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17090]) ).

cnf(17093,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17091]) ).

cnf(17094,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17092]) ).

cnf(17095,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17093]) ).

cnf(17096,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17094]) ).

cnf(17097,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17095]) ).

cnf(17098,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17096]) ).

cnf(17099,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17097]) ).

cnf(17100,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17098]) ).

cnf(17101,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17099]) ).

cnf(17102,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,17100]) ).

cnf(17103,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,17101]) ).

cnf(17104,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17102]) ).

cnf(17105,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17103]) ).

cnf(17106,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17104]) ).

cnf(17107,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17105]) ).

cnf(17108,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17106]) ).

cnf(17109,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17107]) ).

cnf(17110,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17108]) ).

cnf(17111,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17109]) ).

cnf(17112,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17110]) ).

cnf(17113,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17111]) ).

cnf(17114,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17112]) ).

cnf(17115,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17113]) ).

cnf(17116,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17114]) ).

cnf(17117,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17115]) ).

cnf(17118,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,17116]) ).

cnf(17119,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,17117]) ).

cnf(17120,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17118]) ).

cnf(17121,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17119]) ).

cnf(17122,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17120]) ).

cnf(17123,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17121]) ).

cnf(17124,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17122]) ).

cnf(17125,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17123]) ).

cnf(17126,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17124]) ).

cnf(17127,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17125]) ).

cnf(17128,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17126]) ).

cnf(17129,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17127]) ).

cnf(17130,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17128]) ).

cnf(17131,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17129]) ).

cnf(17132,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17130]) ).

cnf(17133,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17131]) ).

cnf(17134,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,17132]) ).

cnf(17135,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,17133]) ).

cnf(17136,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17134]) ).

cnf(17137,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17135]) ).

cnf(17138,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17136]) ).

cnf(17139,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17137]) ).

cnf(17140,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17138]) ).

cnf(17141,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17139]) ).

cnf(17142,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17140]) ).

cnf(17143,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17141]) ).

cnf(17144,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17142]) ).

cnf(17145,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17143]) ).

cnf(17146,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17144]) ).

cnf(17147,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17145]) ).

cnf(17148,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17146]) ).

cnf(17149,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17147]) ).

cnf(17150,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,17148]) ).

cnf(17151,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,17149]) ).

cnf(17152,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17150]) ).

cnf(17153,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17151]) ).

cnf(17154,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17152]) ).

cnf(17155,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17153]) ).

cnf(17156,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17154]) ).

cnf(17157,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17155]) ).

cnf(17158,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17156]) ).

cnf(17159,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17157]) ).

cnf(17160,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17158]) ).

cnf(17161,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17159]) ).

cnf(17162,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17160]) ).

cnf(17163,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17161]) ).

cnf(17164,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17162]) ).

cnf(17165,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17163]) ).

cnf(17166,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,17164]) ).

cnf(17167,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,17165]) ).

cnf(17168,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17166]) ).

cnf(17169,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17167]) ).

cnf(17170,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17168]) ).

cnf(17171,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17169]) ).

cnf(17172,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17170]) ).

cnf(17173,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17171]) ).

cnf(17174,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17172]) ).

cnf(17175,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17173]) ).

cnf(17176,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17174]) ).

cnf(17177,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17175]) ).

cnf(17178,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17176]) ).

cnf(17179,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17177]) ).

cnf(17180,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17178]) ).

cnf(17181,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17179]) ).

cnf(17182,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,17180]) ).

cnf(17183,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,17181]) ).

cnf(17184,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17182]) ).

cnf(17185,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17183]) ).

cnf(17186,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17184]) ).

cnf(17187,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17185]) ).

cnf(17188,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17186]) ).

cnf(17189,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17187]) ).

cnf(17190,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17188]) ).

cnf(17191,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17189]) ).

cnf(17192,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17190]) ).

cnf(17193,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17191]) ).

cnf(17194,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17192]) ).

cnf(17195,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17193]) ).

cnf(17196,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17194]) ).

cnf(17197,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17195]) ).

cnf(17198,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,17196]) ).

cnf(17199,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,17197]) ).

cnf(17200,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17198]) ).

cnf(17201,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17199]) ).

cnf(17202,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17200]) ).

cnf(17203,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17201]) ).

cnf(17204,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17202]) ).

cnf(17205,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17203]) ).

cnf(17206,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17204]) ).

cnf(17207,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17205]) ).

cnf(17208,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17206]) ).

cnf(17209,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17207]) ).

cnf(17210,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17208]) ).

cnf(17211,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17209]) ).

cnf(17212,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17210]) ).

cnf(17213,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17211]) ).

cnf(17214,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,17212]) ).

cnf(17215,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,17213]) ).

cnf(17216,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17214]) ).

cnf(17217,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17215]) ).

cnf(17218,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17216]) ).

cnf(17219,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17217]) ).

cnf(17220,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17218]) ).

cnf(17221,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17219]) ).

cnf(17222,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17220]) ).

cnf(17223,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17221]) ).

cnf(17224,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17222]) ).

cnf(17225,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17223]) ).

cnf(17226,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17224]) ).

cnf(17227,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17225]) ).

cnf(17228,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17226]) ).

cnf(17229,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17227]) ).

cnf(17230,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,17228]) ).

cnf(17231,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,17229]) ).

cnf(17232,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17230]) ).

cnf(17233,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17231]) ).

cnf(17234,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17232]) ).

cnf(17235,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17233]) ).

cnf(17236,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17234]) ).

cnf(17237,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17235]) ).

cnf(17238,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17236]) ).

cnf(17239,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17237]) ).

cnf(17240,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17238]) ).

cnf(17241,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17239]) ).

cnf(17242,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17240]) ).

cnf(17243,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17241]) ).

cnf(17244,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17242]) ).

cnf(17245,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17243]) ).

cnf(17246,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,17244]) ).

cnf(17247,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,17245]) ).

cnf(17248,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17246]) ).

cnf(17249,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17247]) ).

cnf(17250,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17248]) ).

cnf(17251,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17249]) ).

cnf(17252,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17250]) ).

cnf(17253,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17251]) ).

cnf(17254,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17252]) ).

cnf(17255,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17253]) ).

cnf(17256,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17254]) ).

cnf(17257,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17255]) ).

cnf(17258,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17256]) ).

cnf(17259,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17257]) ).

cnf(17260,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17258]) ).

cnf(17261,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17259]) ).

cnf(17262,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,17260]) ).

cnf(17263,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,17261]) ).

cnf(17264,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17262]) ).

cnf(17265,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17263]) ).

cnf(17266,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17264]) ).

cnf(17267,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17265]) ).

cnf(17268,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17266]) ).

cnf(17269,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17267]) ).

cnf(17270,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17268]) ).

cnf(17271,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17269]) ).

cnf(17272,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17270]) ).

cnf(17273,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17271]) ).

cnf(17274,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17272]) ).

cnf(17275,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17273]) ).

cnf(17276,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17274]) ).

cnf(17277,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17275]) ).

cnf(17278,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,17276]) ).

cnf(17279,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,17277]) ).

cnf(17280,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17278]) ).

cnf(17281,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17279]) ).

cnf(17282,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17280]) ).

cnf(17283,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17281]) ).

cnf(17284,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17282]) ).

cnf(17285,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17283]) ).

cnf(17286,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17284]) ).

cnf(17287,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17285]) ).

cnf(17288,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17286]) ).

cnf(17289,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17287]) ).

cnf(17290,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17288]) ).

cnf(17291,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17289]) ).

cnf(17292,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17290]) ).

cnf(17293,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17291]) ).

cnf(17294,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,17292]) ).

cnf(17295,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,17293]) ).

cnf(17296,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17294]) ).

cnf(17297,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17295]) ).

cnf(17298,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17296]) ).

cnf(17299,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17297]) ).

cnf(17300,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17298]) ).

cnf(17301,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17299]) ).

cnf(17302,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17300]) ).

cnf(17303,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17301]) ).

cnf(17304,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17302]) ).

cnf(17305,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17303]) ).

cnf(17306,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17304]) ).

cnf(17307,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17305]) ).

cnf(17308,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17306]) ).

cnf(17309,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17307]) ).

cnf(17310,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,17308]) ).

cnf(17311,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,17309]) ).

cnf(17312,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17310]) ).

cnf(17313,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17311]) ).

cnf(17314,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17312]) ).

cnf(17315,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17313]) ).

cnf(17316,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17314]) ).

cnf(17317,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17315]) ).

cnf(17318,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17316]) ).

cnf(17319,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17317]) ).

cnf(17320,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17318]) ).

cnf(17321,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17319]) ).

cnf(17322,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17320]) ).

cnf(17323,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17321]) ).

cnf(17324,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17322]) ).

cnf(17325,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17323]) ).

cnf(17326,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,17324]) ).

cnf(17327,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,17325]) ).

cnf(17328,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17326]) ).

cnf(17329,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17327]) ).

cnf(17330,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17328]) ).

cnf(17331,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17329]) ).

cnf(17332,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17330]) ).

cnf(17333,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17331]) ).

cnf(17334,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17332]) ).

cnf(17335,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17333]) ).

cnf(17336,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17334]) ).

cnf(17337,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17335]) ).

cnf(17338,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17336]) ).

cnf(17339,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17337]) ).

cnf(17340,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17338]) ).

cnf(17341,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17339]) ).

cnf(17342,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,17340]) ).

cnf(17343,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,17341]) ).

cnf(17344,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17342]) ).

cnf(17345,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17343]) ).

cnf(17346,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17344]) ).

cnf(17347,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17345]) ).

cnf(17348,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17346]) ).

cnf(17349,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17347]) ).

cnf(17350,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17348]) ).

cnf(17351,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17349]) ).

cnf(17352,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17350]) ).

cnf(17353,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17351]) ).

cnf(17354,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17352]) ).

cnf(17355,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17353]) ).

cnf(17356,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17354]) ).

cnf(17357,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17355]) ).

cnf(17358,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,17356]) ).

cnf(17359,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,17357]) ).

cnf(17360,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17358]) ).

cnf(17361,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17359]) ).

cnf(17362,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17360]) ).

cnf(17363,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17361]) ).

cnf(17364,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17362]) ).

cnf(17365,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17363]) ).

cnf(17366,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17364]) ).

cnf(17367,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17365]) ).

cnf(17368,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17366]) ).

cnf(17369,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17367]) ).

cnf(17370,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17368]) ).

cnf(17371,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17369]) ).

cnf(17372,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17370]) ).

cnf(17373,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17371]) ).

cnf(17374,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,17372]) ).

cnf(17375,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,17373]) ).

cnf(17376,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17374]) ).

cnf(17377,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17375]) ).

cnf(17378,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17376]) ).

cnf(17379,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17377]) ).

cnf(17380,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17378]) ).

cnf(17381,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17379]) ).

cnf(17382,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17380]) ).

cnf(17383,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17381]) ).

cnf(17384,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17382]) ).

cnf(17385,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17383]) ).

cnf(17386,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17384]) ).

cnf(17387,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17385]) ).

cnf(17388,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17386]) ).

cnf(17389,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17387]) ).

cnf(17390,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,17388]) ).

cnf(17391,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,17389]) ).

cnf(17392,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17390]) ).

cnf(17393,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17391]) ).

cnf(17394,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17392]) ).

cnf(17395,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17393]) ).

cnf(17396,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17394]) ).

cnf(17397,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17395]) ).

cnf(17398,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17396]) ).

cnf(17399,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17397]) ).

cnf(17400,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17398]) ).

cnf(17401,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17399]) ).

cnf(17402,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17400]) ).

cnf(17403,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17401]) ).

cnf(17404,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17402]) ).

cnf(17405,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17403]) ).

cnf(17406,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,17404]) ).

cnf(17407,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,17405]) ).

cnf(17408,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17406]) ).

cnf(17409,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17407]) ).

cnf(17410,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17408]) ).

cnf(17411,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17409]) ).

cnf(17412,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17410]) ).

cnf(17413,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17411]) ).

cnf(17414,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17412]) ).

cnf(17415,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17413]) ).

cnf(17416,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17414]) ).

cnf(17417,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17415]) ).

cnf(17418,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17416]) ).

cnf(17419,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17417]) ).

cnf(17420,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17418]) ).

cnf(17421,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17419]) ).

cnf(17422,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,17420]) ).

cnf(17423,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,17421]) ).

cnf(17424,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17422]) ).

cnf(17425,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17423]) ).

cnf(17426,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17424]) ).

cnf(17427,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17425]) ).

cnf(17428,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17426]) ).

cnf(17429,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17427]) ).

cnf(17430,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17428]) ).

cnf(17431,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17429]) ).

cnf(17432,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17430]) ).

cnf(17433,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17431]) ).

cnf(17434,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17432]) ).

cnf(17435,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17433]) ).

cnf(17436,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17434]) ).

cnf(17437,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17435]) ).

cnf(17438,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[12,17436]) ).

cnf(17439,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[12,17437]) ).

cnf(17440,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17438]) ).

cnf(17441,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17439]) ).

cnf(17442,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17440]) ).

cnf(17443,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17441]) ).

cnf(17444,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17442]) ).

cnf(17445,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17443]) ).

cnf(17446,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17444]) ).

cnf(17447,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17445]) ).

cnf(17448,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17446]) ).

cnf(17449,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17447]) ).

cnf(17450,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17448]) ).

cnf(17451,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17449]) ).

cnf(17452,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17450]) ).

cnf(17453,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17451]) ).

cnf(17454,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,17452]) ).

cnf(17455,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,17453]) ).

cnf(17456,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17454]) ).

cnf(17457,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17455]) ).

cnf(17458,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17456]) ).

cnf(17459,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17457]) ).

cnf(17460,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17458]) ).

cnf(17461,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17459]) ).

cnf(17462,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17460]) ).

cnf(17463,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17461]) ).

cnf(17464,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17462]) ).

cnf(17465,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17463]) ).

cnf(17466,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17464]) ).

cnf(17467,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17465]) ).

cnf(17468,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17466]) ).

cnf(17469,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17467]) ).

cnf(17470,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,17468]) ).

cnf(17471,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,17469]) ).

cnf(17472,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17470]) ).

cnf(17473,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17471]) ).

cnf(17474,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17472]) ).

cnf(17475,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17473]) ).

cnf(17476,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17474]) ).

cnf(17477,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17475]) ).

cnf(17478,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17476]) ).

cnf(17479,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17477]) ).

cnf(17480,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17478]) ).

cnf(17481,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17479]) ).

cnf(17482,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17480]) ).

cnf(17483,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17481]) ).

cnf(17484,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17482]) ).

cnf(17485,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17483]) ).

cnf(17486,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,17484]) ).

cnf(17487,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,17485]) ).

cnf(17488,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17486]) ).

cnf(17489,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17487]) ).

cnf(17490,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17488]) ).

cnf(17491,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17489]) ).

cnf(17492,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17490]) ).

cnf(17493,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17491]) ).

cnf(17494,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17492]) ).

cnf(17495,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17493]) ).

cnf(17496,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17494]) ).

cnf(17497,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17495]) ).

cnf(17498,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17496]) ).

cnf(17499,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17497]) ).

cnf(17500,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17498]) ).

cnf(17501,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17499]) ).

cnf(17502,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,17500]) ).

cnf(17503,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,17501]) ).

cnf(17504,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17502]) ).

cnf(17505,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17503]) ).

cnf(17506,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17504]) ).

cnf(17507,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17505]) ).

cnf(17508,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17506]) ).

cnf(17509,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17507]) ).

cnf(17510,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17508]) ).

cnf(17511,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17509]) ).

cnf(17512,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17510]) ).

cnf(17513,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17511]) ).

cnf(17514,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17512]) ).

cnf(17515,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17513]) ).

cnf(17516,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17514]) ).

cnf(17517,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17515]) ).

cnf(17518,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,17516]) ).

cnf(17519,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,17517]) ).

cnf(17520,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17518]) ).

cnf(17521,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17519]) ).

cnf(17522,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17520]) ).

cnf(17523,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17521]) ).

cnf(17524,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17522]) ).

cnf(17525,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17523]) ).

cnf(17526,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17524]) ).

cnf(17527,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17525]) ).

cnf(17528,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17526]) ).

cnf(17529,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17527]) ).

cnf(17530,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17528]) ).

cnf(17531,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17529]) ).

cnf(17532,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17530]) ).

cnf(17533,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17531]) ).

cnf(17534,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,17532]) ).

cnf(17535,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,17533]) ).

cnf(17536,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17534]) ).

cnf(17537,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17535]) ).

cnf(17538,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17536]) ).

cnf(17539,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17537]) ).

cnf(17540,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17538]) ).

cnf(17541,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17539]) ).

cnf(17542,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17540]) ).

cnf(17543,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17541]) ).

cnf(17544,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17542]) ).

cnf(17545,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17543]) ).

cnf(17546,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17544]) ).

cnf(17547,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17545]) ).

cnf(17548,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17546]) ).

cnf(17549,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17547]) ).

cnf(17550,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,17548]) ).

cnf(17551,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,17549]) ).

cnf(17552,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17550]) ).

cnf(17553,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17551]) ).

cnf(17554,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17552]) ).

cnf(17555,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17553]) ).

cnf(17556,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17554]) ).

cnf(17557,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17555]) ).

cnf(17558,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17556]) ).

cnf(17559,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17557]) ).

cnf(17560,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17558]) ).

cnf(17561,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17559]) ).

cnf(17562,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17560]) ).

cnf(17563,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17561]) ).

cnf(17564,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17562]) ).

cnf(17565,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17563]) ).

cnf(17566,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,17564]) ).

cnf(17567,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,17565]) ).

cnf(17568,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17566]) ).

cnf(17569,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17567]) ).

cnf(17570,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17568]) ).

cnf(17571,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17569]) ).

cnf(17572,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17570]) ).

cnf(17573,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17571]) ).

cnf(17574,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17572]) ).

cnf(17575,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17573]) ).

cnf(17576,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17574]) ).

cnf(17577,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17575]) ).

cnf(17578,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17576]) ).

cnf(17579,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17577]) ).

cnf(17580,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17578]) ).

cnf(17581,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17579]) ).

cnf(17582,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,17580]) ).

cnf(17583,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,17581]) ).

cnf(17584,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17582]) ).

cnf(17585,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17583]) ).

cnf(17586,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17584]) ).

cnf(17587,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17585]) ).

cnf(17588,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17586]) ).

cnf(17589,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17587]) ).

cnf(17590,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17588]) ).

cnf(17591,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17589]) ).

cnf(17592,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17590]) ).

cnf(17593,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17591]) ).

cnf(17594,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17592]) ).

cnf(17595,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17593]) ).

cnf(17596,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17594]) ).

cnf(17597,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17595]) ).

cnf(17598,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,17596]) ).

cnf(17599,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,17597]) ).

cnf(17600,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17598]) ).

cnf(17601,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17599]) ).

cnf(17602,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17600]) ).

cnf(17603,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17601]) ).

cnf(17604,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17602]) ).

cnf(17605,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17603]) ).

cnf(17606,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17604]) ).

cnf(17607,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17605]) ).

cnf(17608,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17606]) ).

cnf(17609,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17607]) ).

cnf(17610,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17608]) ).

cnf(17611,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17609]) ).

cnf(17612,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17610]) ).

cnf(17613,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17611]) ).

cnf(17614,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,17612]) ).

cnf(17615,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,17613]) ).

cnf(17616,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17614]) ).

cnf(17617,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17615]) ).

cnf(17618,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17616]) ).

cnf(17619,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17617]) ).

cnf(17620,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17618]) ).

cnf(17621,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17619]) ).

cnf(17622,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17620]) ).

cnf(17623,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17621]) ).

cnf(17624,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17622]) ).

cnf(17625,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17623]) ).

cnf(17626,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17624]) ).

cnf(17627,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17625]) ).

cnf(17628,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17626]) ).

cnf(17629,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17627]) ).

cnf(17630,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,17628]) ).

cnf(17631,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,17629]) ).

cnf(17632,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17630]) ).

cnf(17633,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17631]) ).

cnf(17634,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17632]) ).

cnf(17635,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17633]) ).

cnf(17636,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17634]) ).

cnf(17637,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17635]) ).

cnf(17638,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17636]) ).

cnf(17639,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17637]) ).

cnf(17640,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17638]) ).

cnf(17641,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17639]) ).

cnf(17642,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17640]) ).

cnf(17643,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17641]) ).

cnf(17644,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17642]) ).

cnf(17645,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17643]) ).

cnf(17646,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,17644]) ).

cnf(17647,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,17645]) ).

cnf(17648,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17646]) ).

cnf(17649,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17647]) ).

cnf(17650,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17648]) ).

cnf(17651,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17649]) ).

cnf(17652,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17650]) ).

cnf(17653,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17651]) ).

cnf(17654,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17652]) ).

cnf(17655,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17653]) ).

cnf(17656,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17654]) ).

cnf(17657,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17655]) ).

cnf(17658,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17656]) ).

cnf(17659,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17657]) ).

cnf(17660,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17658]) ).

cnf(17661,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17659]) ).

cnf(17662,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,17660]) ).

cnf(17663,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,17661]) ).

cnf(17664,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17662]) ).

cnf(17665,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17663]) ).

cnf(17666,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17664]) ).

cnf(17667,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17665]) ).

cnf(17668,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17666]) ).

cnf(17669,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17667]) ).

cnf(17670,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17668]) ).

cnf(17671,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17669]) ).

cnf(17672,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17670]) ).

cnf(17673,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17671]) ).

cnf(17674,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17672]) ).

cnf(17675,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17673]) ).

cnf(17676,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17674]) ).

cnf(17677,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17675]) ).

cnf(17678,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,17676]) ).

cnf(17679,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,17677]) ).

cnf(17680,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17678]) ).

cnf(17681,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17679]) ).

cnf(17682,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17680]) ).

cnf(17683,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17681]) ).

cnf(17684,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17682]) ).

cnf(17685,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17683]) ).

cnf(17686,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17684]) ).

cnf(17687,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17685]) ).

cnf(17688,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17686]) ).

cnf(17689,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17687]) ).

cnf(17690,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17688]) ).

cnf(17691,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17689]) ).

cnf(17692,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17690]) ).

cnf(17693,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17691]) ).

cnf(17694,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,17692]) ).

cnf(17695,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,17693]) ).

cnf(17696,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17694]) ).

cnf(17697,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17695]) ).

cnf(17698,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17696]) ).

cnf(17699,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17697]) ).

cnf(17700,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17698]) ).

cnf(17701,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17699]) ).

cnf(17702,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17700]) ).

cnf(17703,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17701]) ).

cnf(17704,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17702]) ).

cnf(17705,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17703]) ).

cnf(17706,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17704]) ).

cnf(17707,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17705]) ).

cnf(17708,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17706]) ).

cnf(17709,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17707]) ).

cnf(17710,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,17708]) ).

cnf(17711,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,17709]) ).

cnf(17712,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17710]) ).

cnf(17713,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17711]) ).

cnf(17714,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17712]) ).

cnf(17715,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17713]) ).

cnf(17716,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17714]) ).

cnf(17717,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17715]) ).

cnf(17718,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17716]) ).

cnf(17719,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17717]) ).

cnf(17720,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17718]) ).

cnf(17721,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17719]) ).

cnf(17722,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17720]) ).

cnf(17723,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17721]) ).

cnf(17724,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17722]) ).

cnf(17725,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17723]) ).

cnf(17726,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,17724]) ).

cnf(17727,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,17725]) ).

cnf(17728,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17726]) ).

cnf(17729,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17727]) ).

cnf(17730,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17728]) ).

cnf(17731,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17729]) ).

cnf(17732,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17730]) ).

cnf(17733,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17731]) ).

cnf(17734,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17732]) ).

cnf(17735,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17733]) ).

cnf(17736,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17734]) ).

cnf(17737,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17735]) ).

cnf(17738,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17736]) ).

cnf(17739,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17737]) ).

cnf(17740,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17738]) ).

cnf(17741,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17739]) ).

cnf(17742,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,17740]) ).

cnf(17743,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,17741]) ).

cnf(17744,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17742]) ).

cnf(17745,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17743]) ).

cnf(17746,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17744]) ).

cnf(17747,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17745]) ).

cnf(17748,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17746]) ).

cnf(17749,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17747]) ).

cnf(17750,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17748]) ).

cnf(17751,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17749]) ).

cnf(17752,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17750]) ).

cnf(17753,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17751]) ).

cnf(17754,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17752]) ).

cnf(17755,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17753]) ).

cnf(17756,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17754]) ).

cnf(17757,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17755]) ).

cnf(17758,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,17756]) ).

cnf(17759,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,17757]) ).

cnf(17760,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17758]) ).

cnf(17761,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17759]) ).

cnf(17762,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17760]) ).

cnf(17763,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17761]) ).

cnf(17764,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17762]) ).

cnf(17765,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17763]) ).

cnf(17766,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17764]) ).

cnf(17767,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17765]) ).

cnf(17768,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17766]) ).

cnf(17769,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17767]) ).

cnf(17770,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17768]) ).

cnf(17771,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17769]) ).

cnf(17772,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17770]) ).

cnf(17773,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17771]) ).

cnf(17774,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,17772]) ).

cnf(17775,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,17773]) ).

cnf(17776,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17774]) ).

cnf(17777,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17775]) ).

cnf(17778,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17776]) ).

cnf(17779,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17777]) ).

cnf(17780,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17778]) ).

cnf(17781,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17779]) ).

cnf(17782,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17780]) ).

cnf(17783,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17781]) ).

cnf(17784,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17782]) ).

cnf(17785,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17783]) ).

cnf(17786,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17784]) ).

cnf(17787,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17785]) ).

cnf(17788,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17786]) ).

cnf(17789,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17787]) ).

cnf(17790,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,17788]) ).

cnf(17791,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,17789]) ).

cnf(17792,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17790]) ).

cnf(17793,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17791]) ).

cnf(17794,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17792]) ).

cnf(17795,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17793]) ).

cnf(17796,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17794]) ).

cnf(17797,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17795]) ).

cnf(17798,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17796]) ).

cnf(17799,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17797]) ).

cnf(17800,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17798]) ).

cnf(17801,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17799]) ).

cnf(17802,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17800]) ).

cnf(17803,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17801]) ).

cnf(17804,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17802]) ).

cnf(17805,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17803]) ).

cnf(17806,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,17804]) ).

cnf(17807,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,17805]) ).

cnf(17808,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17806]) ).

cnf(17809,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17807]) ).

cnf(17810,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17808]) ).

cnf(17811,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17809]) ).

cnf(17812,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17810]) ).

cnf(17813,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17811]) ).

cnf(17814,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17812]) ).

cnf(17815,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17813]) ).

cnf(17816,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17814]) ).

cnf(17817,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17815]) ).

cnf(17818,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17816]) ).

cnf(17819,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17817]) ).

cnf(17820,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17818]) ).

cnf(17821,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17819]) ).

cnf(17822,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,17820]) ).

cnf(17823,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,17821]) ).

cnf(17824,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17822]) ).

cnf(17825,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17823]) ).

cnf(17826,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17824]) ).

cnf(17827,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17825]) ).

cnf(17828,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17826]) ).

cnf(17829,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17827]) ).

cnf(17830,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17828]) ).

cnf(17831,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17829]) ).

cnf(17832,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17830]) ).

cnf(17833,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17831]) ).

cnf(17834,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17832]) ).

cnf(17835,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17833]) ).

cnf(17836,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17834]) ).

cnf(17837,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17835]) ).

cnf(17838,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,17836]) ).

cnf(17839,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,17837]) ).

cnf(17840,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17838]) ).

cnf(17841,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17839]) ).

cnf(17842,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17840]) ).

cnf(17843,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17841]) ).

cnf(17844,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17842]) ).

cnf(17845,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17843]) ).

cnf(17846,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17844]) ).

cnf(17847,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17845]) ).

cnf(17848,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17846]) ).

cnf(17849,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17847]) ).

cnf(17850,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17848]) ).

cnf(17851,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17849]) ).

cnf(17852,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17850]) ).

cnf(17853,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17851]) ).

cnf(17854,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,17852]) ).

cnf(17855,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,17853]) ).

cnf(17856,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17854]) ).

cnf(17857,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17855]) ).

cnf(17858,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17856]) ).

cnf(17859,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17857]) ).

cnf(17860,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17858]) ).

cnf(17861,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17859]) ).

cnf(17862,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17860]) ).

cnf(17863,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17861]) ).

cnf(17864,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17862]) ).

cnf(17865,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17863]) ).

cnf(17866,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17864]) ).

cnf(17867,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17865]) ).

cnf(17868,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17866]) ).

cnf(17869,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17867]) ).

cnf(17870,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,17868]) ).

cnf(17871,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,17869]) ).

cnf(17872,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17870]) ).

cnf(17873,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17871]) ).

cnf(17874,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17872]) ).

cnf(17875,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17873]) ).

cnf(17876,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17874]) ).

cnf(17877,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17875]) ).

cnf(17878,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17876]) ).

cnf(17879,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17877]) ).

cnf(17880,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17878]) ).

cnf(17881,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17879]) ).

cnf(17882,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17880]) ).

cnf(17883,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17881]) ).

cnf(17884,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17882]) ).

cnf(17885,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17883]) ).

cnf(17886,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,17884]) ).

cnf(17887,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,17885]) ).

cnf(17888,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17886]) ).

cnf(17889,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17887]) ).

cnf(17890,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17888]) ).

cnf(17891,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17889]) ).

cnf(17892,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17890]) ).

cnf(17893,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17891]) ).

cnf(17894,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17892]) ).

cnf(17895,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17893]) ).

cnf(17896,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17894]) ).

cnf(17897,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17895]) ).

cnf(17898,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17896]) ).

cnf(17899,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17897]) ).

cnf(17900,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17898]) ).

cnf(17901,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17899]) ).

cnf(17902,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,17900]) ).

cnf(17903,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,17901]) ).

cnf(17904,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17902]) ).

cnf(17905,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17903]) ).

cnf(17906,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17904]) ).

cnf(17907,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17905]) ).

cnf(17908,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17906]) ).

cnf(17909,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17907]) ).

cnf(17910,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17908]) ).

cnf(17911,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17909]) ).

cnf(17912,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17910]) ).

cnf(17913,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17911]) ).

cnf(17914,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17912]) ).

cnf(17915,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17913]) ).

cnf(17916,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17914]) ).

cnf(17917,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17915]) ).

cnf(17918,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,17916]) ).

cnf(17919,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,17917]) ).

cnf(17920,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17918]) ).

cnf(17921,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17919]) ).

cnf(17922,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17920]) ).

cnf(17923,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17921]) ).

cnf(17924,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17922]) ).

cnf(17925,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17923]) ).

cnf(17926,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17924]) ).

cnf(17927,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17925]) ).

cnf(17928,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17926]) ).

cnf(17929,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17927]) ).

cnf(17930,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17928]) ).

cnf(17931,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17929]) ).

cnf(17932,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17930]) ).

cnf(17933,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17931]) ).

cnf(17934,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,17932]) ).

cnf(17935,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,17933]) ).

cnf(17936,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17934]) ).

cnf(17937,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17935]) ).

cnf(17938,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17936]) ).

cnf(17939,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17937]) ).

cnf(17940,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17938]) ).

cnf(17941,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17939]) ).

cnf(17942,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17940]) ).

cnf(17943,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17941]) ).

cnf(17944,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17942]) ).

cnf(17945,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17943]) ).

cnf(17946,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17944]) ).

cnf(17947,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17945]) ).

cnf(17948,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17946]) ).

cnf(17949,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17947]) ).

cnf(17950,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[11,17948]) ).

cnf(17951,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[11,17949]) ).

cnf(17952,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17950]) ).

cnf(17953,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17951]) ).

cnf(17954,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17952]) ).

cnf(17955,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17953]) ).

cnf(17956,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17954]) ).

cnf(17957,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17955]) ).

cnf(17958,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17956]) ).

cnf(17959,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17957]) ).

cnf(17960,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17958]) ).

cnf(17961,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17959]) ).

cnf(17962,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17960]) ).

cnf(17963,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17961]) ).

cnf(17964,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17962]) ).

cnf(17965,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17963]) ).

cnf(17966,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,17964]) ).

cnf(17967,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,17965]) ).

cnf(17968,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17966]) ).

cnf(17969,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17967]) ).

cnf(17970,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17968]) ).

cnf(17971,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17969]) ).

cnf(17972,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17970]) ).

cnf(17973,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17971]) ).

cnf(17974,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17972]) ).

cnf(17975,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17973]) ).

cnf(17976,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17974]) ).

cnf(17977,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17975]) ).

cnf(17978,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17976]) ).

cnf(17979,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17977]) ).

cnf(17980,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17978]) ).

cnf(17981,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17979]) ).

cnf(17982,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,17980]) ).

cnf(17983,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,17981]) ).

cnf(17984,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17982]) ).

cnf(17985,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17983]) ).

cnf(17986,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17984]) ).

cnf(17987,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17985]) ).

cnf(17988,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17986]) ).

cnf(17989,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17987]) ).

cnf(17990,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,17988]) ).

cnf(17991,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,17989]) ).

cnf(17992,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17990]) ).

cnf(17993,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17991]) ).

cnf(17994,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,17992]) ).

cnf(17995,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,17993]) ).

cnf(17996,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17994]) ).

cnf(17997,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17995]) ).

cnf(17998,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,17996]) ).

cnf(17999,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,17997]) ).

cnf(18000,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,17998]) ).

cnf(18001,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,17999]) ).

cnf(18002,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18000]) ).

cnf(18003,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18001]) ).

cnf(18004,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18002]) ).

cnf(18005,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18003]) ).

cnf(18006,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18004]) ).

cnf(18007,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18005]) ).

cnf(18008,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18006]) ).

cnf(18009,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18007]) ).

cnf(18010,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18008]) ).

cnf(18011,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18009]) ).

cnf(18012,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18010]) ).

cnf(18013,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18011]) ).

cnf(18014,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,18012]) ).

cnf(18015,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,18013]) ).

cnf(18016,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18014]) ).

cnf(18017,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18015]) ).

cnf(18018,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18016]) ).

cnf(18019,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18017]) ).

cnf(18020,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18018]) ).

cnf(18021,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18019]) ).

cnf(18022,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18020]) ).

cnf(18023,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18021]) ).

cnf(18024,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18022]) ).

cnf(18025,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18023]) ).

cnf(18026,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18024]) ).

cnf(18027,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18025]) ).

cnf(18028,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18026]) ).

cnf(18029,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18027]) ).

cnf(18030,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,18028]) ).

cnf(18031,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,18029]) ).

cnf(18032,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18030]) ).

cnf(18033,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18031]) ).

cnf(18034,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18032]) ).

cnf(18035,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18033]) ).

cnf(18036,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18034]) ).

cnf(18037,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18035]) ).

cnf(18038,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18036]) ).

cnf(18039,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18037]) ).

cnf(18040,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18038]) ).

cnf(18041,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18039]) ).

cnf(18042,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18040]) ).

cnf(18043,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18041]) ).

cnf(18044,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18042]) ).

cnf(18045,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18043]) ).

cnf(18046,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,18044]) ).

cnf(18047,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,18045]) ).

cnf(18048,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18046]) ).

cnf(18049,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18047]) ).

cnf(18050,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18048]) ).

cnf(18051,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18049]) ).

cnf(18052,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18050]) ).

cnf(18053,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18051]) ).

cnf(18054,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18052]) ).

cnf(18055,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18053]) ).

cnf(18056,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18054]) ).

cnf(18057,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18055]) ).

cnf(18058,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18056]) ).

cnf(18059,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18057]) ).

cnf(18060,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18058]) ).

cnf(18061,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18059]) ).

cnf(18062,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,18060]) ).

cnf(18063,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,18061]) ).

cnf(18064,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18062]) ).

cnf(18065,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18063]) ).

cnf(18066,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18064]) ).

cnf(18067,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18065]) ).

cnf(18068,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18066]) ).

cnf(18069,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18067]) ).

cnf(18070,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18068]) ).

cnf(18071,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18069]) ).

cnf(18072,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18070]) ).

cnf(18073,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18071]) ).

cnf(18074,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18072]) ).

cnf(18075,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18073]) ).

cnf(18076,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18074]) ).

cnf(18077,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18075]) ).

cnf(18078,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,18076]) ).

cnf(18079,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,18077]) ).

cnf(18080,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18078]) ).

cnf(18081,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18079]) ).

cnf(18082,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18080]) ).

cnf(18083,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18081]) ).

cnf(18084,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18082]) ).

cnf(18085,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18083]) ).

cnf(18086,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18084]) ).

cnf(18087,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18085]) ).

cnf(18088,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18086]) ).

cnf(18089,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18087]) ).

cnf(18090,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18088]) ).

cnf(18091,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18089]) ).

cnf(18092,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18090]) ).

cnf(18093,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18091]) ).

cnf(18094,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,18092]) ).

cnf(18095,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,18093]) ).

cnf(18096,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18094]) ).

cnf(18097,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18095]) ).

cnf(18098,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18096]) ).

cnf(18099,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18097]) ).

cnf(18100,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18098]) ).

cnf(18101,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18099]) ).

cnf(18102,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18100]) ).

cnf(18103,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18101]) ).

cnf(18104,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18102]) ).

cnf(18105,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18103]) ).

cnf(18106,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18104]) ).

cnf(18107,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18105]) ).

cnf(18108,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18106]) ).

cnf(18109,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18107]) ).

cnf(18110,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,18108]) ).

cnf(18111,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,18109]) ).

cnf(18112,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18110]) ).

cnf(18113,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18111]) ).

cnf(18114,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18112]) ).

cnf(18115,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18113]) ).

cnf(18116,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18114]) ).

cnf(18117,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18115]) ).

cnf(18118,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18116]) ).

cnf(18119,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18117]) ).

cnf(18120,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18118]) ).

cnf(18121,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18119]) ).

cnf(18122,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18120]) ).

cnf(18123,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18121]) ).

cnf(18124,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18122]) ).

cnf(18125,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18123]) ).

cnf(18126,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,18124]) ).

cnf(18127,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,18125]) ).

cnf(18128,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18126]) ).

cnf(18129,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18127]) ).

cnf(18130,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18128]) ).

cnf(18131,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18129]) ).

cnf(18132,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18130]) ).

cnf(18133,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18131]) ).

cnf(18134,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18132]) ).

cnf(18135,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18133]) ).

cnf(18136,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18134]) ).

cnf(18137,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18135]) ).

cnf(18138,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18136]) ).

cnf(18139,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18137]) ).

cnf(18140,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18138]) ).

cnf(18141,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18139]) ).

cnf(18142,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,18140]) ).

cnf(18143,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,18141]) ).

cnf(18144,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18142]) ).

cnf(18145,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18143]) ).

cnf(18146,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18144]) ).

cnf(18147,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18145]) ).

cnf(18148,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18146]) ).

cnf(18149,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18147]) ).

cnf(18150,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18148]) ).

cnf(18151,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18149]) ).

cnf(18152,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18150]) ).

cnf(18153,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18151]) ).

cnf(18154,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18152]) ).

cnf(18155,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18153]) ).

cnf(18156,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18154]) ).

cnf(18157,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18155]) ).

cnf(18158,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,18156]) ).

cnf(18159,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,18157]) ).

cnf(18160,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18158]) ).

cnf(18161,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18159]) ).

cnf(18162,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18160]) ).

cnf(18163,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18161]) ).

cnf(18164,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18162]) ).

cnf(18165,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18163]) ).

cnf(18166,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18164]) ).

cnf(18167,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18165]) ).

cnf(18168,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18166]) ).

cnf(18169,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18167]) ).

cnf(18170,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18168]) ).

cnf(18171,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18169]) ).

cnf(18172,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18170]) ).

cnf(18173,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18171]) ).

cnf(18174,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,18172]) ).

cnf(18175,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,18173]) ).

cnf(18176,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18174]) ).

cnf(18177,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18175]) ).

cnf(18178,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18176]) ).

cnf(18179,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18177]) ).

cnf(18180,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18178]) ).

cnf(18181,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18179]) ).

cnf(18182,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18180]) ).

cnf(18183,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18181]) ).

cnf(18184,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18182]) ).

cnf(18185,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18183]) ).

cnf(18186,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18184]) ).

cnf(18187,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18185]) ).

cnf(18188,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18186]) ).

cnf(18189,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18187]) ).

cnf(18190,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,18188]) ).

cnf(18191,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,18189]) ).

cnf(18192,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18190]) ).

cnf(18193,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18191]) ).

cnf(18194,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18192]) ).

cnf(18195,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18193]) ).

cnf(18196,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18194]) ).

cnf(18197,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18195]) ).

cnf(18198,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18196]) ).

cnf(18199,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18197]) ).

cnf(18200,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18198]) ).

cnf(18201,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18199]) ).

cnf(18202,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18200]) ).

cnf(18203,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18201]) ).

cnf(18204,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18202]) ).

cnf(18205,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18203]) ).

cnf(18206,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,18204]) ).

cnf(18207,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,18205]) ).

cnf(18208,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18206]) ).

cnf(18209,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18207]) ).

cnf(18210,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18208]) ).

cnf(18211,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18209]) ).

cnf(18212,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18210]) ).

cnf(18213,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18211]) ).

cnf(18214,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18212]) ).

cnf(18215,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18213]) ).

cnf(18216,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18214]) ).

cnf(18217,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18215]) ).

cnf(18218,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18216]) ).

cnf(18219,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18217]) ).

cnf(18220,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18218]) ).

cnf(18221,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18219]) ).

cnf(18222,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,18220]) ).

cnf(18223,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,18221]) ).

cnf(18224,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18222]) ).

cnf(18225,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18223]) ).

cnf(18226,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18224]) ).

cnf(18227,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18225]) ).

cnf(18228,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18226]) ).

cnf(18229,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18227]) ).

cnf(18230,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18228]) ).

cnf(18231,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18229]) ).

cnf(18232,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18230]) ).

cnf(18233,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18231]) ).

cnf(18234,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18232]) ).

cnf(18235,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18233]) ).

cnf(18236,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18234]) ).

cnf(18237,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18235]) ).

cnf(18238,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,18236]) ).

cnf(18239,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,18237]) ).

cnf(18240,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18238]) ).

cnf(18241,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18239]) ).

cnf(18242,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18240]) ).

cnf(18243,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18241]) ).

cnf(18244,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18242]) ).

cnf(18245,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18243]) ).

cnf(18246,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18244]) ).

cnf(18247,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18245]) ).

cnf(18248,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18246]) ).

cnf(18249,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18247]) ).

cnf(18250,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18248]) ).

cnf(18251,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18249]) ).

cnf(18252,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18250]) ).

cnf(18253,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18251]) ).

cnf(18254,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,18252]) ).

cnf(18255,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,18253]) ).

cnf(18256,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18254]) ).

cnf(18257,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18255]) ).

cnf(18258,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18256]) ).

cnf(18259,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18257]) ).

cnf(18260,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18258]) ).

cnf(18261,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18259]) ).

cnf(18262,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18260]) ).

cnf(18263,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18261]) ).

cnf(18264,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18262]) ).

cnf(18265,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18263]) ).

cnf(18266,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18264]) ).

cnf(18267,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18265]) ).

cnf(18268,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18266]) ).

cnf(18269,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18267]) ).

cnf(18270,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,18268]) ).

cnf(18271,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,18269]) ).

cnf(18272,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18270]) ).

cnf(18273,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18271]) ).

cnf(18274,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18272]) ).

cnf(18275,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18273]) ).

cnf(18276,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18274]) ).

cnf(18277,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18275]) ).

cnf(18278,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18276]) ).

cnf(18279,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18277]) ).

cnf(18280,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18278]) ).

cnf(18281,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18279]) ).

cnf(18282,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18280]) ).

cnf(18283,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18281]) ).

cnf(18284,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18282]) ).

cnf(18285,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18283]) ).

cnf(18286,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,18284]) ).

cnf(18287,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,18285]) ).

cnf(18288,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18286]) ).

cnf(18289,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18287]) ).

cnf(18290,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18288]) ).

cnf(18291,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18289]) ).

cnf(18292,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18290]) ).

cnf(18293,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18291]) ).

cnf(18294,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18292]) ).

cnf(18295,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18293]) ).

cnf(18296,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18294]) ).

cnf(18297,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18295]) ).

cnf(18298,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18296]) ).

cnf(18299,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18297]) ).

cnf(18300,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18298]) ).

cnf(18301,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18299]) ).

cnf(18302,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,18300]) ).

cnf(18303,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,18301]) ).

cnf(18304,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18302]) ).

cnf(18305,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18303]) ).

cnf(18306,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18304]) ).

cnf(18307,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18305]) ).

cnf(18308,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18306]) ).

cnf(18309,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18307]) ).

cnf(18310,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18308]) ).

cnf(18311,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18309]) ).

cnf(18312,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18310]) ).

cnf(18313,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18311]) ).

cnf(18314,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18312]) ).

cnf(18315,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18313]) ).

cnf(18316,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18314]) ).

cnf(18317,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18315]) ).

cnf(18318,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,18316]) ).

cnf(18319,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,18317]) ).

cnf(18320,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18318]) ).

cnf(18321,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18319]) ).

cnf(18322,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18320]) ).

cnf(18323,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18321]) ).

cnf(18324,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18322]) ).

cnf(18325,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18323]) ).

cnf(18326,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18324]) ).

cnf(18327,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18325]) ).

cnf(18328,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18326]) ).

cnf(18329,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18327]) ).

cnf(18330,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18328]) ).

cnf(18331,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18329]) ).

cnf(18332,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18330]) ).

cnf(18333,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18331]) ).

cnf(18334,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,18332]) ).

cnf(18335,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,18333]) ).

cnf(18336,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18334]) ).

cnf(18337,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18335]) ).

cnf(18338,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18336]) ).

cnf(18339,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18337]) ).

cnf(18340,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18338]) ).

cnf(18341,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18339]) ).

cnf(18342,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18340]) ).

cnf(18343,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18341]) ).

cnf(18344,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18342]) ).

cnf(18345,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18343]) ).

cnf(18346,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18344]) ).

cnf(18347,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18345]) ).

cnf(18348,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18346]) ).

cnf(18349,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18347]) ).

cnf(18350,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,18348]) ).

cnf(18351,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,18349]) ).

cnf(18352,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18350]) ).

cnf(18353,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18351]) ).

cnf(18354,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18352]) ).

cnf(18355,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18353]) ).

cnf(18356,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18354]) ).

cnf(18357,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18355]) ).

cnf(18358,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18356]) ).

cnf(18359,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18357]) ).

cnf(18360,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18358]) ).

cnf(18361,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18359]) ).

cnf(18362,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18360]) ).

cnf(18363,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18361]) ).

cnf(18364,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18362]) ).

cnf(18365,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18363]) ).

cnf(18366,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,18364]) ).

cnf(18367,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,18365]) ).

cnf(18368,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18366]) ).

cnf(18369,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18367]) ).

cnf(18370,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18368]) ).

cnf(18371,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18369]) ).

cnf(18372,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18370]) ).

cnf(18373,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18371]) ).

cnf(18374,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18372]) ).

cnf(18375,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18373]) ).

cnf(18376,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18374]) ).

cnf(18377,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18375]) ).

cnf(18378,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18376]) ).

cnf(18379,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18377]) ).

cnf(18380,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18378]) ).

cnf(18381,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18379]) ).

cnf(18382,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,18380]) ).

cnf(18383,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,18381]) ).

cnf(18384,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18382]) ).

cnf(18385,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18383]) ).

cnf(18386,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18384]) ).

cnf(18387,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18385]) ).

cnf(18388,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18386]) ).

cnf(18389,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18387]) ).

cnf(18390,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18388]) ).

cnf(18391,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18389]) ).

cnf(18392,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18390]) ).

cnf(18393,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18391]) ).

cnf(18394,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18392]) ).

cnf(18395,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18393]) ).

cnf(18396,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18394]) ).

cnf(18397,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18395]) ).

cnf(18398,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,18396]) ).

cnf(18399,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,18397]) ).

cnf(18400,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18398]) ).

cnf(18401,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18399]) ).

cnf(18402,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18400]) ).

cnf(18403,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18401]) ).

cnf(18404,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18402]) ).

cnf(18405,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18403]) ).

cnf(18406,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18404]) ).

cnf(18407,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18405]) ).

cnf(18408,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18406]) ).

cnf(18409,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18407]) ).

cnf(18410,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18408]) ).

cnf(18411,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18409]) ).

cnf(18412,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18410]) ).

cnf(18413,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18411]) ).

cnf(18414,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,18412]) ).

cnf(18415,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,18413]) ).

cnf(18416,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18414]) ).

cnf(18417,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18415]) ).

cnf(18418,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18416]) ).

cnf(18419,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18417]) ).

cnf(18420,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18418]) ).

cnf(18421,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18419]) ).

cnf(18422,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18420]) ).

cnf(18423,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18421]) ).

cnf(18424,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18422]) ).

cnf(18425,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18423]) ).

cnf(18426,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18424]) ).

cnf(18427,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18425]) ).

cnf(18428,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18426]) ).

cnf(18429,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18427]) ).

cnf(18430,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,18428]) ).

cnf(18431,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,18429]) ).

cnf(18432,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18430]) ).

cnf(18433,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18431]) ).

cnf(18434,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18432]) ).

cnf(18435,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18433]) ).

cnf(18436,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18434]) ).

cnf(18437,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18435]) ).

cnf(18438,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18436]) ).

cnf(18439,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18437]) ).

cnf(18440,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18438]) ).

cnf(18441,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18439]) ).

cnf(18442,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18440]) ).

cnf(18443,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18441]) ).

cnf(18444,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18442]) ).

cnf(18445,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18443]) ).

cnf(18446,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,18444]) ).

cnf(18447,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,18445]) ).

cnf(18448,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18446]) ).

cnf(18449,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18447]) ).

cnf(18450,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18448]) ).

cnf(18451,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18449]) ).

cnf(18452,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18450]) ).

cnf(18453,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18451]) ).

cnf(18454,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18452]) ).

cnf(18455,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18453]) ).

cnf(18456,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18454]) ).

cnf(18457,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18455]) ).

cnf(18458,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18456]) ).

cnf(18459,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18457]) ).

cnf(18460,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18458]) ).

cnf(18461,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18459]) ).

cnf(18462,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[13,18460]) ).

cnf(18463,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[13,18461]) ).

cnf(18464,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18462]) ).

cnf(18465,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18463]) ).

cnf(18466,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18464]) ).

cnf(18467,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18465]) ).

cnf(18468,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18466]) ).

cnf(18469,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18467]) ).

cnf(18470,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18468]) ).

cnf(18471,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18469]) ).

cnf(18472,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18470]) ).

cnf(18473,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18471]) ).

cnf(18474,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18472]) ).

cnf(18475,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18473]) ).

cnf(18476,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18474]) ).

cnf(18477,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18475]) ).

cnf(18478,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,18476]) ).

cnf(18479,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,18477]) ).

cnf(18480,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18478]) ).

cnf(18481,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18479]) ).

cnf(18482,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18480]) ).

cnf(18483,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18481]) ).

cnf(18484,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18482]) ).

cnf(18485,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18483]) ).

cnf(18486,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18484]) ).

cnf(18487,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18485]) ).

cnf(18488,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18486]) ).

cnf(18489,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18487]) ).

cnf(18490,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18488]) ).

cnf(18491,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18489]) ).

cnf(18492,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18490]) ).

cnf(18493,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18491]) ).

cnf(18494,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,18492]) ).

cnf(18495,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,18493]) ).

cnf(18496,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18494]) ).

cnf(18497,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18495]) ).

cnf(18498,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18496]) ).

cnf(18499,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18497]) ).

cnf(18500,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18498]) ).

cnf(18501,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18499]) ).

cnf(18502,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18500]) ).

cnf(18503,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18501]) ).

cnf(18504,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18502]) ).

cnf(18505,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18503]) ).

cnf(18506,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18504]) ).

cnf(18507,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18505]) ).

cnf(18508,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18506]) ).

cnf(18509,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18507]) ).

cnf(18510,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,18508]) ).

cnf(18511,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,18509]) ).

cnf(18512,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18510]) ).

cnf(18513,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18511]) ).

cnf(18514,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18512]) ).

cnf(18515,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18513]) ).

cnf(18516,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18514]) ).

cnf(18517,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18515]) ).

cnf(18518,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18516]) ).

cnf(18519,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18517]) ).

cnf(18520,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18518]) ).

cnf(18521,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18519]) ).

cnf(18522,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18520]) ).

cnf(18523,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18521]) ).

cnf(18524,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18522]) ).

cnf(18525,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18523]) ).

cnf(18526,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,18524]) ).

cnf(18527,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,18525]) ).

cnf(18528,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18526]) ).

cnf(18529,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18527]) ).

cnf(18530,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18528]) ).

cnf(18531,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18529]) ).

cnf(18532,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18530]) ).

cnf(18533,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18531]) ).

cnf(18534,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18532]) ).

cnf(18535,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18533]) ).

cnf(18536,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18534]) ).

cnf(18537,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18535]) ).

cnf(18538,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18536]) ).

cnf(18539,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18537]) ).

cnf(18540,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18538]) ).

cnf(18541,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18539]) ).

cnf(18542,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,18540]) ).

cnf(18543,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,18541]) ).

cnf(18544,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18542]) ).

cnf(18545,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18543]) ).

cnf(18546,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18544]) ).

cnf(18547,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18545]) ).

cnf(18548,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18546]) ).

cnf(18549,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18547]) ).

cnf(18550,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18548]) ).

cnf(18551,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18549]) ).

cnf(18552,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18550]) ).

cnf(18553,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18551]) ).

cnf(18554,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18552]) ).

cnf(18555,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18553]) ).

cnf(18556,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18554]) ).

cnf(18557,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18555]) ).

cnf(18558,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,18556]) ).

cnf(18559,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,18557]) ).

cnf(18560,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18558]) ).

cnf(18561,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18559]) ).

cnf(18562,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18560]) ).

cnf(18563,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18561]) ).

cnf(18564,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18562]) ).

cnf(18565,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18563]) ).

cnf(18566,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18564]) ).

cnf(18567,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18565]) ).

cnf(18568,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18566]) ).

cnf(18569,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18567]) ).

cnf(18570,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18568]) ).

cnf(18571,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18569]) ).

cnf(18572,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18570]) ).

cnf(18573,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18571]) ).

cnf(18574,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,18572]) ).

cnf(18575,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,18573]) ).

cnf(18576,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18574]) ).

cnf(18577,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18575]) ).

cnf(18578,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18576]) ).

cnf(18579,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18577]) ).

cnf(18580,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18578]) ).

cnf(18581,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18579]) ).

cnf(18582,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18580]) ).

cnf(18583,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18581]) ).

cnf(18584,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18582]) ).

cnf(18585,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18583]) ).

cnf(18586,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18584]) ).

cnf(18587,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18585]) ).

cnf(18588,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18586]) ).

cnf(18589,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18587]) ).

cnf(18590,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,18588]) ).

cnf(18591,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,18589]) ).

cnf(18592,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18590]) ).

cnf(18593,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18591]) ).

cnf(18594,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18592]) ).

cnf(18595,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18593]) ).

cnf(18596,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18594]) ).

cnf(18597,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18595]) ).

cnf(18598,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18596]) ).

cnf(18599,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18597]) ).

cnf(18600,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18598]) ).

cnf(18601,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18599]) ).

cnf(18602,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18600]) ).

cnf(18603,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18601]) ).

cnf(18604,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18602]) ).

cnf(18605,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18603]) ).

cnf(18606,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,18604]) ).

cnf(18607,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,18605]) ).

cnf(18608,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18606]) ).

cnf(18609,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18607]) ).

cnf(18610,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18608]) ).

cnf(18611,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18609]) ).

cnf(18612,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18610]) ).

cnf(18613,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18611]) ).

cnf(18614,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18612]) ).

cnf(18615,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18613]) ).

cnf(18616,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18614]) ).

cnf(18617,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18615]) ).

cnf(18618,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18616]) ).

cnf(18619,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18617]) ).

cnf(18620,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18618]) ).

cnf(18621,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18619]) ).

cnf(18622,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,18620]) ).

cnf(18623,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,18621]) ).

cnf(18624,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18622]) ).

cnf(18625,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18623]) ).

cnf(18626,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18624]) ).

cnf(18627,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18625]) ).

cnf(18628,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18626]) ).

cnf(18629,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18627]) ).

cnf(18630,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18628]) ).

cnf(18631,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18629]) ).

cnf(18632,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18630]) ).

cnf(18633,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18631]) ).

cnf(18634,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18632]) ).

cnf(18635,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18633]) ).

cnf(18636,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18634]) ).

cnf(18637,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18635]) ).

cnf(18638,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,18636]) ).

cnf(18639,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,18637]) ).

cnf(18640,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18638]) ).

cnf(18641,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18639]) ).

cnf(18642,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18640]) ).

cnf(18643,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18641]) ).

cnf(18644,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18642]) ).

cnf(18645,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18643]) ).

cnf(18646,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18644]) ).

cnf(18647,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18645]) ).

cnf(18648,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18646]) ).

cnf(18649,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18647]) ).

cnf(18650,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18648]) ).

cnf(18651,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18649]) ).

cnf(18652,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18650]) ).

cnf(18653,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18651]) ).

cnf(18654,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,18652]) ).

cnf(18655,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,18653]) ).

cnf(18656,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18654]) ).

cnf(18657,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18655]) ).

cnf(18658,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18656]) ).

cnf(18659,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18657]) ).

cnf(18660,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18658]) ).

cnf(18661,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18659]) ).

cnf(18662,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18660]) ).

cnf(18663,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18661]) ).

cnf(18664,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18662]) ).

cnf(18665,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18663]) ).

cnf(18666,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18664]) ).

cnf(18667,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18665]) ).

cnf(18668,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18666]) ).

cnf(18669,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18667]) ).

cnf(18670,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,18668]) ).

cnf(18671,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,18669]) ).

cnf(18672,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18670]) ).

cnf(18673,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18671]) ).

cnf(18674,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18672]) ).

cnf(18675,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18673]) ).

cnf(18676,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18674]) ).

cnf(18677,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18675]) ).

cnf(18678,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18676]) ).

cnf(18679,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18677]) ).

cnf(18680,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18678]) ).

cnf(18681,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18679]) ).

cnf(18682,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18680]) ).

cnf(18683,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18681]) ).

cnf(18684,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18682]) ).

cnf(18685,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18683]) ).

cnf(18686,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,18684]) ).

cnf(18687,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,18685]) ).

cnf(18688,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18686]) ).

cnf(18689,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18687]) ).

cnf(18690,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18688]) ).

cnf(18691,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18689]) ).

cnf(18692,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18690]) ).

cnf(18693,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18691]) ).

cnf(18694,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18692]) ).

cnf(18695,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18693]) ).

cnf(18696,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18694]) ).

cnf(18697,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18695]) ).

cnf(18698,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18696]) ).

cnf(18699,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18697]) ).

cnf(18700,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18698]) ).

cnf(18701,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18699]) ).

cnf(18702,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,18700]) ).

cnf(18703,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,18701]) ).

cnf(18704,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18702]) ).

cnf(18705,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18703]) ).

cnf(18706,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18704]) ).

cnf(18707,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18705]) ).

cnf(18708,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18706]) ).

cnf(18709,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18707]) ).

cnf(18710,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18708]) ).

cnf(18711,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18709]) ).

cnf(18712,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18710]) ).

cnf(18713,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18711]) ).

cnf(18714,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18712]) ).

cnf(18715,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18713]) ).

cnf(18716,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18714]) ).

cnf(18717,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18715]) ).

cnf(18718,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,18716]) ).

cnf(18719,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,18717]) ).

cnf(18720,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18718]) ).

cnf(18721,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18719]) ).

cnf(18722,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18720]) ).

cnf(18723,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18721]) ).

cnf(18724,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18722]) ).

cnf(18725,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18723]) ).

cnf(18726,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18724]) ).

cnf(18727,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18725]) ).

cnf(18728,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18726]) ).

cnf(18729,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18727]) ).

cnf(18730,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18728]) ).

cnf(18731,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18729]) ).

cnf(18732,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18730]) ).

cnf(18733,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18731]) ).

cnf(18734,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,18732]) ).

cnf(18735,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,18733]) ).

cnf(18736,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18734]) ).

cnf(18737,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18735]) ).

cnf(18738,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18736]) ).

cnf(18739,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18737]) ).

cnf(18740,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18738]) ).

cnf(18741,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18739]) ).

cnf(18742,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18740]) ).

cnf(18743,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18741]) ).

cnf(18744,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18742]) ).

cnf(18745,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18743]) ).

cnf(18746,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18744]) ).

cnf(18747,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18745]) ).

cnf(18748,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18746]) ).

cnf(18749,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18747]) ).

cnf(18750,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,18748]) ).

cnf(18751,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,18749]) ).

cnf(18752,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18750]) ).

cnf(18753,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18751]) ).

cnf(18754,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18752]) ).

cnf(18755,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18753]) ).

cnf(18756,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18754]) ).

cnf(18757,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18755]) ).

cnf(18758,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18756]) ).

cnf(18759,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18757]) ).

cnf(18760,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18758]) ).

cnf(18761,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18759]) ).

cnf(18762,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18760]) ).

cnf(18763,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18761]) ).

cnf(18764,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18762]) ).

cnf(18765,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18763]) ).

cnf(18766,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,18764]) ).

cnf(18767,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,18765]) ).

cnf(18768,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18766]) ).

cnf(18769,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18767]) ).

cnf(18770,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18768]) ).

cnf(18771,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18769]) ).

cnf(18772,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18770]) ).

cnf(18773,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18771]) ).

cnf(18774,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18772]) ).

cnf(18775,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18773]) ).

cnf(18776,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18774]) ).

cnf(18777,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18775]) ).

cnf(18778,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18776]) ).

cnf(18779,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18777]) ).

cnf(18780,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18778]) ).

cnf(18781,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18779]) ).

cnf(18782,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,18780]) ).

cnf(18783,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,18781]) ).

cnf(18784,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18782]) ).

cnf(18785,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18783]) ).

cnf(18786,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18784]) ).

cnf(18787,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18785]) ).

cnf(18788,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18786]) ).

cnf(18789,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18787]) ).

cnf(18790,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18788]) ).

cnf(18791,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18789]) ).

cnf(18792,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18790]) ).

cnf(18793,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18791]) ).

cnf(18794,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18792]) ).

cnf(18795,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18793]) ).

cnf(18796,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18794]) ).

cnf(18797,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18795]) ).

cnf(18798,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,18796]) ).

cnf(18799,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,18797]) ).

cnf(18800,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18798]) ).

cnf(18801,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18799]) ).

cnf(18802,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18800]) ).

cnf(18803,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18801]) ).

cnf(18804,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18802]) ).

cnf(18805,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18803]) ).

cnf(18806,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18804]) ).

cnf(18807,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18805]) ).

cnf(18808,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18806]) ).

cnf(18809,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18807]) ).

cnf(18810,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18808]) ).

cnf(18811,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18809]) ).

cnf(18812,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18810]) ).

cnf(18813,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18811]) ).

cnf(18814,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,18812]) ).

cnf(18815,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,18813]) ).

cnf(18816,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18814]) ).

cnf(18817,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18815]) ).

cnf(18818,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18816]) ).

cnf(18819,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18817]) ).

cnf(18820,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18818]) ).

cnf(18821,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18819]) ).

cnf(18822,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18820]) ).

cnf(18823,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18821]) ).

cnf(18824,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18822]) ).

cnf(18825,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18823]) ).

cnf(18826,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18824]) ).

cnf(18827,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18825]) ).

cnf(18828,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18826]) ).

cnf(18829,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18827]) ).

cnf(18830,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,18828]) ).

cnf(18831,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,18829]) ).

cnf(18832,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18830]) ).

cnf(18833,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18831]) ).

cnf(18834,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18832]) ).

cnf(18835,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18833]) ).

cnf(18836,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18834]) ).

cnf(18837,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18835]) ).

cnf(18838,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18836]) ).

cnf(18839,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18837]) ).

cnf(18840,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18838]) ).

cnf(18841,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18839]) ).

cnf(18842,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18840]) ).

cnf(18843,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18841]) ).

cnf(18844,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18842]) ).

cnf(18845,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18843]) ).

cnf(18846,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,18844]) ).

cnf(18847,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,18845]) ).

cnf(18848,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18846]) ).

cnf(18849,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18847]) ).

cnf(18850,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18848]) ).

cnf(18851,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18849]) ).

cnf(18852,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18850]) ).

cnf(18853,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18851]) ).

cnf(18854,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18852]) ).

cnf(18855,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18853]) ).

cnf(18856,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18854]) ).

cnf(18857,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18855]) ).

cnf(18858,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18856]) ).

cnf(18859,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18857]) ).

cnf(18860,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18858]) ).

cnf(18861,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18859]) ).

cnf(18862,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,18860]) ).

cnf(18863,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,18861]) ).

cnf(18864,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18862]) ).

cnf(18865,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18863]) ).

cnf(18866,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18864]) ).

cnf(18867,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18865]) ).

cnf(18868,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18866]) ).

cnf(18869,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18867]) ).

cnf(18870,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18868]) ).

cnf(18871,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18869]) ).

cnf(18872,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18870]) ).

cnf(18873,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18871]) ).

cnf(18874,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18872]) ).

cnf(18875,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18873]) ).

cnf(18876,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18874]) ).

cnf(18877,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18875]) ).

cnf(18878,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,18876]) ).

cnf(18879,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,18877]) ).

cnf(18880,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18878]) ).

cnf(18881,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18879]) ).

cnf(18882,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18880]) ).

cnf(18883,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18881]) ).

cnf(18884,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18882]) ).

cnf(18885,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18883]) ).

cnf(18886,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18884]) ).

cnf(18887,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18885]) ).

cnf(18888,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18886]) ).

cnf(18889,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18887]) ).

cnf(18890,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18888]) ).

cnf(18891,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18889]) ).

cnf(18892,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18890]) ).

cnf(18893,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18891]) ).

cnf(18894,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,18892]) ).

cnf(18895,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,18893]) ).

cnf(18896,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18894]) ).

cnf(18897,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18895]) ).

cnf(18898,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18896]) ).

cnf(18899,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18897]) ).

cnf(18900,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18898]) ).

cnf(18901,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18899]) ).

cnf(18902,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18900]) ).

cnf(18903,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18901]) ).

cnf(18904,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18902]) ).

cnf(18905,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18903]) ).

cnf(18906,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18904]) ).

cnf(18907,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18905]) ).

cnf(18908,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18906]) ).

cnf(18909,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18907]) ).

cnf(18910,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,18908]) ).

cnf(18911,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,18909]) ).

cnf(18912,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18910]) ).

cnf(18913,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18911]) ).

cnf(18914,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18912]) ).

cnf(18915,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18913]) ).

cnf(18916,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18914]) ).

cnf(18917,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18915]) ).

cnf(18918,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18916]) ).

cnf(18919,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18917]) ).

cnf(18920,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18918]) ).

cnf(18921,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18919]) ).

cnf(18922,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18920]) ).

cnf(18923,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18921]) ).

cnf(18924,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18922]) ).

cnf(18925,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18923]) ).

cnf(18926,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,18924]) ).

cnf(18927,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,18925]) ).

cnf(18928,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18926]) ).

cnf(18929,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18927]) ).

cnf(18930,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18928]) ).

cnf(18931,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18929]) ).

cnf(18932,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18930]) ).

cnf(18933,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18931]) ).

cnf(18934,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18932]) ).

cnf(18935,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18933]) ).

cnf(18936,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18934]) ).

cnf(18937,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18935]) ).

cnf(18938,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18936]) ).

cnf(18939,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18937]) ).

cnf(18940,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18938]) ).

cnf(18941,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18939]) ).

cnf(18942,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,18940]) ).

cnf(18943,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,18941]) ).

cnf(18944,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18942]) ).

cnf(18945,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18943]) ).

cnf(18946,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18944]) ).

cnf(18947,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18945]) ).

cnf(18948,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18946]) ).

cnf(18949,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18947]) ).

cnf(18950,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18948]) ).

cnf(18951,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18949]) ).

cnf(18952,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18950]) ).

cnf(18953,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18951]) ).

cnf(18954,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18952]) ).

cnf(18955,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18953]) ).

cnf(18956,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18954]) ).

cnf(18957,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18955]) ).

cnf(18958,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,18956]) ).

cnf(18959,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,18957]) ).

cnf(18960,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18958]) ).

cnf(18961,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18959]) ).

cnf(18962,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18960]) ).

cnf(18963,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18961]) ).

cnf(18964,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18962]) ).

cnf(18965,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18963]) ).

cnf(18966,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18964]) ).

cnf(18967,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18965]) ).

cnf(18968,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18966]) ).

cnf(18969,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18967]) ).

cnf(18970,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18968]) ).

cnf(18971,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18969]) ).

cnf(18972,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18970]) ).

cnf(18973,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18971]) ).

cnf(18974,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[11,18972]) ).

cnf(18975,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[11,18973]) ).

cnf(18976,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18974]) ).

cnf(18977,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18975]) ).

cnf(18978,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18976]) ).

cnf(18979,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18977]) ).

cnf(18980,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18978]) ).

cnf(18981,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18979]) ).

cnf(18982,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18980]) ).

cnf(18983,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18981]) ).

cnf(18984,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18982]) ).

cnf(18985,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18983]) ).

cnf(18986,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18984]) ).

cnf(18987,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18985]) ).

cnf(18988,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18986]) ).

cnf(18989,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18987]) ).

cnf(18990,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,18988]) ).

cnf(18991,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,18989]) ).

cnf(18992,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18990]) ).

cnf(18993,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18991]) ).

cnf(18994,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,18992]) ).

cnf(18995,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,18993]) ).

cnf(18996,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18994]) ).

cnf(18997,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18995]) ).

cnf(18998,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,18996]) ).

cnf(18999,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,18997]) ).

cnf(19000,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,18998]) ).

cnf(19001,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,18999]) ).

cnf(19002,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19000]) ).

cnf(19003,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19001]) ).

cnf(19004,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19002]) ).

cnf(19005,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19003]) ).

cnf(19006,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,19004]) ).

cnf(19007,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,19005]) ).

cnf(19008,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19006]) ).

cnf(19009,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19007]) ).

cnf(19010,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19008]) ).

cnf(19011,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19009]) ).

cnf(19012,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19010]) ).

cnf(19013,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19011]) ).

cnf(19014,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19012]) ).

cnf(19015,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19013]) ).

cnf(19016,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19014]) ).

cnf(19017,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19015]) ).

cnf(19018,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19016]) ).

cnf(19019,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19017]) ).

cnf(19020,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19018]) ).

cnf(19021,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19019]) ).

cnf(19022,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,19020]) ).

cnf(19023,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,19021]) ).

cnf(19024,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19022]) ).

cnf(19025,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19023]) ).

cnf(19026,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19024]) ).

cnf(19027,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19025]) ).

cnf(19028,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19026]) ).

cnf(19029,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19027]) ).

cnf(19030,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19028]) ).

cnf(19031,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19029]) ).

cnf(19032,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19030]) ).

cnf(19033,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19031]) ).

cnf(19034,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19032]) ).

cnf(19035,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19033]) ).

cnf(19036,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19034]) ).

cnf(19037,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19035]) ).

cnf(19038,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,19036]) ).

cnf(19039,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,19037]) ).

cnf(19040,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19038]) ).

cnf(19041,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19039]) ).

cnf(19042,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19040]) ).

cnf(19043,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19041]) ).

cnf(19044,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19042]) ).

cnf(19045,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19043]) ).

cnf(19046,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19044]) ).

cnf(19047,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19045]) ).

cnf(19048,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19046]) ).

cnf(19049,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19047]) ).

cnf(19050,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19048]) ).

cnf(19051,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19049]) ).

cnf(19052,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19050]) ).

cnf(19053,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19051]) ).

cnf(19054,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,19052]) ).

cnf(19055,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,19053]) ).

cnf(19056,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19054]) ).

cnf(19057,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19055]) ).

cnf(19058,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19056]) ).

cnf(19059,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19057]) ).

cnf(19060,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19058]) ).

cnf(19061,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19059]) ).

cnf(19062,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19060]) ).

cnf(19063,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19061]) ).

cnf(19064,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19062]) ).

cnf(19065,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19063]) ).

cnf(19066,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19064]) ).

cnf(19067,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19065]) ).

cnf(19068,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19066]) ).

cnf(19069,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19067]) ).

cnf(19070,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,19068]) ).

cnf(19071,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,19069]) ).

cnf(19072,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19070]) ).

cnf(19073,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19071]) ).

cnf(19074,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19072]) ).

cnf(19075,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19073]) ).

cnf(19076,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19074]) ).

cnf(19077,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19075]) ).

cnf(19078,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19076]) ).

cnf(19079,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19077]) ).

cnf(19080,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19078]) ).

cnf(19081,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19079]) ).

cnf(19082,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19080]) ).

cnf(19083,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19081]) ).

cnf(19084,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19082]) ).

cnf(19085,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19083]) ).

cnf(19086,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,19084]) ).

cnf(19087,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,19085]) ).

cnf(19088,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19086]) ).

cnf(19089,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19087]) ).

cnf(19090,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19088]) ).

cnf(19091,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19089]) ).

cnf(19092,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19090]) ).

cnf(19093,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19091]) ).

cnf(19094,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19092]) ).

cnf(19095,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19093]) ).

cnf(19096,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19094]) ).

cnf(19097,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19095]) ).

cnf(19098,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19096]) ).

cnf(19099,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19097]) ).

cnf(19100,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19098]) ).

cnf(19101,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19099]) ).

cnf(19102,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,19100]) ).

cnf(19103,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,19101]) ).

cnf(19104,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19102]) ).

cnf(19105,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19103]) ).

cnf(19106,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19104]) ).

cnf(19107,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19105]) ).

cnf(19108,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19106]) ).

cnf(19109,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19107]) ).

cnf(19110,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19108]) ).

cnf(19111,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19109]) ).

cnf(19112,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19110]) ).

cnf(19113,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19111]) ).

cnf(19114,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19112]) ).

cnf(19115,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19113]) ).

cnf(19116,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19114]) ).

cnf(19117,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19115]) ).

cnf(19118,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,19116]) ).

cnf(19119,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,19117]) ).

cnf(19120,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19118]) ).

cnf(19121,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19119]) ).

cnf(19122,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19120]) ).

cnf(19123,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19121]) ).

cnf(19124,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19122]) ).

cnf(19125,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19123]) ).

cnf(19126,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19124]) ).

cnf(19127,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19125]) ).

cnf(19128,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19126]) ).

cnf(19129,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19127]) ).

cnf(19130,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19128]) ).

cnf(19131,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19129]) ).

cnf(19132,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19130]) ).

cnf(19133,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19131]) ).

cnf(19134,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,19132]) ).

cnf(19135,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,19133]) ).

cnf(19136,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19134]) ).

cnf(19137,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19135]) ).

cnf(19138,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19136]) ).

cnf(19139,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19137]) ).

cnf(19140,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19138]) ).

cnf(19141,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19139]) ).

cnf(19142,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19140]) ).

cnf(19143,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19141]) ).

cnf(19144,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19142]) ).

cnf(19145,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19143]) ).

cnf(19146,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19144]) ).

cnf(19147,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19145]) ).

cnf(19148,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19146]) ).

cnf(19149,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19147]) ).

cnf(19150,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,19148]) ).

cnf(19151,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,19149]) ).

cnf(19152,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19150]) ).

cnf(19153,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19151]) ).

cnf(19154,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19152]) ).

cnf(19155,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19153]) ).

cnf(19156,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19154]) ).

cnf(19157,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19155]) ).

cnf(19158,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19156]) ).

cnf(19159,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19157]) ).

cnf(19160,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19158]) ).

cnf(19161,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19159]) ).

cnf(19162,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19160]) ).

cnf(19163,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19161]) ).

cnf(19164,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19162]) ).

cnf(19165,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19163]) ).

cnf(19166,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,19164]) ).

cnf(19167,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,19165]) ).

cnf(19168,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19166]) ).

cnf(19169,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19167]) ).

cnf(19170,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19168]) ).

cnf(19171,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19169]) ).

cnf(19172,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19170]) ).

cnf(19173,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19171]) ).

cnf(19174,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19172]) ).

cnf(19175,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19173]) ).

cnf(19176,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19174]) ).

cnf(19177,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19175]) ).

cnf(19178,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19176]) ).

cnf(19179,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19177]) ).

cnf(19180,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19178]) ).

cnf(19181,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19179]) ).

cnf(19182,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,19180]) ).

cnf(19183,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,19181]) ).

cnf(19184,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19182]) ).

cnf(19185,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19183]) ).

cnf(19186,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19184]) ).

cnf(19187,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19185]) ).

cnf(19188,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19186]) ).

cnf(19189,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19187]) ).

cnf(19190,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19188]) ).

cnf(19191,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19189]) ).

cnf(19192,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19190]) ).

cnf(19193,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19191]) ).

cnf(19194,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19192]) ).

cnf(19195,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19193]) ).

cnf(19196,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19194]) ).

cnf(19197,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19195]) ).

cnf(19198,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,19196]) ).

cnf(19199,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,19197]) ).

cnf(19200,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19198]) ).

cnf(19201,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19199]) ).

cnf(19202,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19200]) ).

cnf(19203,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19201]) ).

cnf(19204,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19202]) ).

cnf(19205,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19203]) ).

cnf(19206,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19204]) ).

cnf(19207,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19205]) ).

cnf(19208,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19206]) ).

cnf(19209,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19207]) ).

cnf(19210,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19208]) ).

cnf(19211,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19209]) ).

cnf(19212,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19210]) ).

cnf(19213,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19211]) ).

cnf(19214,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,19212]) ).

cnf(19215,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,19213]) ).

cnf(19216,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19214]) ).

cnf(19217,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19215]) ).

cnf(19218,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19216]) ).

cnf(19219,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19217]) ).

cnf(19220,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19218]) ).

cnf(19221,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19219]) ).

cnf(19222,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19220]) ).

cnf(19223,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19221]) ).

cnf(19224,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19222]) ).

cnf(19225,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19223]) ).

cnf(19226,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19224]) ).

cnf(19227,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19225]) ).

cnf(19228,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19226]) ).

cnf(19229,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19227]) ).

cnf(19230,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,19228]) ).

cnf(19231,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,19229]) ).

cnf(19232,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19230]) ).

cnf(19233,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19231]) ).

cnf(19234,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19232]) ).

cnf(19235,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19233]) ).

cnf(19236,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19234]) ).

cnf(19237,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19235]) ).

cnf(19238,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19236]) ).

cnf(19239,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19237]) ).

cnf(19240,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19238]) ).

cnf(19241,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19239]) ).

cnf(19242,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19240]) ).

cnf(19243,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19241]) ).

cnf(19244,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19242]) ).

cnf(19245,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19243]) ).

cnf(19246,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,19244]) ).

cnf(19247,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,19245]) ).

cnf(19248,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19246]) ).

cnf(19249,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19247]) ).

cnf(19250,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19248]) ).

cnf(19251,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19249]) ).

cnf(19252,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19250]) ).

cnf(19253,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19251]) ).

cnf(19254,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19252]) ).

cnf(19255,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19253]) ).

cnf(19256,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19254]) ).

cnf(19257,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19255]) ).

cnf(19258,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19256]) ).

cnf(19259,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19257]) ).

cnf(19260,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19258]) ).

cnf(19261,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19259]) ).

cnf(19262,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,19260]) ).

cnf(19263,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,19261]) ).

cnf(19264,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19262]) ).

cnf(19265,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19263]) ).

cnf(19266,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19264]) ).

cnf(19267,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19265]) ).

cnf(19268,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19266]) ).

cnf(19269,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19267]) ).

cnf(19270,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19268]) ).

cnf(19271,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19269]) ).

cnf(19272,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19270]) ).

cnf(19273,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19271]) ).

cnf(19274,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19272]) ).

cnf(19275,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19273]) ).

cnf(19276,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19274]) ).

cnf(19277,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19275]) ).

cnf(19278,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,19276]) ).

cnf(19279,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,19277]) ).

cnf(19280,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19278]) ).

cnf(19281,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19279]) ).

cnf(19282,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19280]) ).

cnf(19283,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19281]) ).

cnf(19284,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19282]) ).

cnf(19285,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19283]) ).

cnf(19286,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19284]) ).

cnf(19287,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19285]) ).

cnf(19288,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19286]) ).

cnf(19289,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19287]) ).

cnf(19290,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19288]) ).

cnf(19291,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19289]) ).

cnf(19292,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19290]) ).

cnf(19293,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19291]) ).

cnf(19294,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,19292]) ).

cnf(19295,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,19293]) ).

cnf(19296,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19294]) ).

cnf(19297,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19295]) ).

cnf(19298,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19296]) ).

cnf(19299,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19297]) ).

cnf(19300,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19298]) ).

cnf(19301,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19299]) ).

cnf(19302,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19300]) ).

cnf(19303,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19301]) ).

cnf(19304,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19302]) ).

cnf(19305,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19303]) ).

cnf(19306,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19304]) ).

cnf(19307,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19305]) ).

cnf(19308,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19306]) ).

cnf(19309,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19307]) ).

cnf(19310,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,19308]) ).

cnf(19311,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,19309]) ).

cnf(19312,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19310]) ).

cnf(19313,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19311]) ).

cnf(19314,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19312]) ).

cnf(19315,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19313]) ).

cnf(19316,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19314]) ).

cnf(19317,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19315]) ).

cnf(19318,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19316]) ).

cnf(19319,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19317]) ).

cnf(19320,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19318]) ).

cnf(19321,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19319]) ).

cnf(19322,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19320]) ).

cnf(19323,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19321]) ).

cnf(19324,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19322]) ).

cnf(19325,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19323]) ).

cnf(19326,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,19324]) ).

cnf(19327,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,19325]) ).

cnf(19328,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19326]) ).

cnf(19329,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19327]) ).

cnf(19330,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19328]) ).

cnf(19331,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19329]) ).

cnf(19332,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19330]) ).

cnf(19333,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19331]) ).

cnf(19334,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19332]) ).

cnf(19335,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19333]) ).

cnf(19336,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19334]) ).

cnf(19337,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19335]) ).

cnf(19338,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19336]) ).

cnf(19339,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19337]) ).

cnf(19340,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19338]) ).

cnf(19341,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19339]) ).

cnf(19342,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,19340]) ).

cnf(19343,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,19341]) ).

cnf(19344,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19342]) ).

cnf(19345,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19343]) ).

cnf(19346,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19344]) ).

cnf(19347,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19345]) ).

cnf(19348,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19346]) ).

cnf(19349,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19347]) ).

cnf(19350,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19348]) ).

cnf(19351,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19349]) ).

cnf(19352,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19350]) ).

cnf(19353,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19351]) ).

cnf(19354,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19352]) ).

cnf(19355,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19353]) ).

cnf(19356,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19354]) ).

cnf(19357,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19355]) ).

cnf(19358,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,19356]) ).

cnf(19359,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,19357]) ).

cnf(19360,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19358]) ).

cnf(19361,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19359]) ).

cnf(19362,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19360]) ).

cnf(19363,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19361]) ).

cnf(19364,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19362]) ).

cnf(19365,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19363]) ).

cnf(19366,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19364]) ).

cnf(19367,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19365]) ).

cnf(19368,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19366]) ).

cnf(19369,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19367]) ).

cnf(19370,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19368]) ).

cnf(19371,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19369]) ).

cnf(19372,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19370]) ).

cnf(19373,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19371]) ).

cnf(19374,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,19372]) ).

cnf(19375,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,19373]) ).

cnf(19376,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19374]) ).

cnf(19377,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19375]) ).

cnf(19378,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19376]) ).

cnf(19379,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19377]) ).

cnf(19380,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19378]) ).

cnf(19381,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19379]) ).

cnf(19382,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19380]) ).

cnf(19383,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19381]) ).

cnf(19384,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19382]) ).

cnf(19385,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19383]) ).

cnf(19386,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19384]) ).

cnf(19387,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19385]) ).

cnf(19388,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19386]) ).

cnf(19389,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19387]) ).

cnf(19390,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,19388]) ).

cnf(19391,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,19389]) ).

cnf(19392,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19390]) ).

cnf(19393,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19391]) ).

cnf(19394,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19392]) ).

cnf(19395,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19393]) ).

cnf(19396,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19394]) ).

cnf(19397,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19395]) ).

cnf(19398,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19396]) ).

cnf(19399,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19397]) ).

cnf(19400,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19398]) ).

cnf(19401,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19399]) ).

cnf(19402,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19400]) ).

cnf(19403,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19401]) ).

cnf(19404,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19402]) ).

cnf(19405,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19403]) ).

cnf(19406,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,19404]) ).

cnf(19407,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,19405]) ).

cnf(19408,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19406]) ).

cnf(19409,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19407]) ).

cnf(19410,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19408]) ).

cnf(19411,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19409]) ).

cnf(19412,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19410]) ).

cnf(19413,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19411]) ).

cnf(19414,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19412]) ).

cnf(19415,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19413]) ).

cnf(19416,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19414]) ).

cnf(19417,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19415]) ).

cnf(19418,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19416]) ).

cnf(19419,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19417]) ).

cnf(19420,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19418]) ).

cnf(19421,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19419]) ).

cnf(19422,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,19420]) ).

cnf(19423,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,19421]) ).

cnf(19424,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19422]) ).

cnf(19425,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19423]) ).

cnf(19426,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19424]) ).

cnf(19427,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19425]) ).

cnf(19428,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19426]) ).

cnf(19429,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19427]) ).

cnf(19430,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19428]) ).

cnf(19431,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19429]) ).

cnf(19432,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19430]) ).

cnf(19433,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19431]) ).

cnf(19434,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19432]) ).

cnf(19435,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19433]) ).

cnf(19436,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19434]) ).

cnf(19437,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19435]) ).

cnf(19438,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,19436]) ).

cnf(19439,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,19437]) ).

cnf(19440,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19438]) ).

cnf(19441,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19439]) ).

cnf(19442,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19440]) ).

cnf(19443,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19441]) ).

cnf(19444,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19442]) ).

cnf(19445,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19443]) ).

cnf(19446,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19444]) ).

cnf(19447,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19445]) ).

cnf(19448,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19446]) ).

cnf(19449,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19447]) ).

cnf(19450,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19448]) ).

cnf(19451,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19449]) ).

cnf(19452,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19450]) ).

cnf(19453,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19451]) ).

cnf(19454,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,19452]) ).

cnf(19455,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,19453]) ).

cnf(19456,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19454]) ).

cnf(19457,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19455]) ).

cnf(19458,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19456]) ).

cnf(19459,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19457]) ).

cnf(19460,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19458]) ).

cnf(19461,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19459]) ).

cnf(19462,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19460]) ).

cnf(19463,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19461]) ).

cnf(19464,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19462]) ).

cnf(19465,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19463]) ).

cnf(19466,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19464]) ).

cnf(19467,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19465]) ).

cnf(19468,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19466]) ).

cnf(19469,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19467]) ).

cnf(19470,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,19468]) ).

cnf(19471,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,19469]) ).

cnf(19472,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19470]) ).

cnf(19473,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19471]) ).

cnf(19474,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19472]) ).

cnf(19475,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19473]) ).

cnf(19476,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19474]) ).

cnf(19477,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19475]) ).

cnf(19478,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19476]) ).

cnf(19479,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19477]) ).

cnf(19480,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19478]) ).

cnf(19481,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19479]) ).

cnf(19482,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19480]) ).

cnf(19483,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19481]) ).

cnf(19484,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19482]) ).

cnf(19485,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19483]) ).

cnf(19486,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[12,19484]) ).

cnf(19487,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[12,19485]) ).

cnf(19488,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19486]) ).

cnf(19489,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19487]) ).

cnf(19490,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19488]) ).

cnf(19491,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19489]) ).

cnf(19492,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19490]) ).

cnf(19493,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19491]) ).

cnf(19494,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19492]) ).

cnf(19495,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19493]) ).

cnf(19496,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19494]) ).

cnf(19497,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19495]) ).

cnf(19498,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19496]) ).

cnf(19499,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19497]) ).

cnf(19500,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19498]) ).

cnf(19501,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19499]) ).

cnf(19502,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,19500]) ).

cnf(19503,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,19501]) ).

cnf(19504,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19502]) ).

cnf(19505,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19503]) ).

cnf(19506,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19504]) ).

cnf(19507,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19505]) ).

cnf(19508,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19506]) ).

cnf(19509,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19507]) ).

cnf(19510,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19508]) ).

cnf(19511,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19509]) ).

cnf(19512,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19510]) ).

cnf(19513,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19511]) ).

cnf(19514,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19512]) ).

cnf(19515,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19513]) ).

cnf(19516,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19514]) ).

cnf(19517,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19515]) ).

cnf(19518,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,19516]) ).

cnf(19519,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,19517]) ).

cnf(19520,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19518]) ).

cnf(19521,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19519]) ).

cnf(19522,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19520]) ).

cnf(19523,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19521]) ).

cnf(19524,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19522]) ).

cnf(19525,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19523]) ).

cnf(19526,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19524]) ).

cnf(19527,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19525]) ).

cnf(19528,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19526]) ).

cnf(19529,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19527]) ).

cnf(19530,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19528]) ).

cnf(19531,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19529]) ).

cnf(19532,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19530]) ).

cnf(19533,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19531]) ).

cnf(19534,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,19532]) ).

cnf(19535,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,19533]) ).

cnf(19536,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19534]) ).

cnf(19537,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19535]) ).

cnf(19538,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19536]) ).

cnf(19539,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19537]) ).

cnf(19540,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19538]) ).

cnf(19541,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19539]) ).

cnf(19542,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19540]) ).

cnf(19543,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19541]) ).

cnf(19544,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19542]) ).

cnf(19545,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19543]) ).

cnf(19546,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19544]) ).

cnf(19547,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19545]) ).

cnf(19548,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19546]) ).

cnf(19549,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19547]) ).

cnf(19550,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,19548]) ).

cnf(19551,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,19549]) ).

cnf(19552,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19550]) ).

cnf(19553,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19551]) ).

cnf(19554,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19552]) ).

cnf(19555,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19553]) ).

cnf(19556,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19554]) ).

cnf(19557,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19555]) ).

cnf(19558,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19556]) ).

cnf(19559,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19557]) ).

cnf(19560,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19558]) ).

cnf(19561,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19559]) ).

cnf(19562,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19560]) ).

cnf(19563,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19561]) ).

cnf(19564,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19562]) ).

cnf(19565,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19563]) ).

cnf(19566,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,19564]) ).

cnf(19567,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,19565]) ).

cnf(19568,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19566]) ).

cnf(19569,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19567]) ).

cnf(19570,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19568]) ).

cnf(19571,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19569]) ).

cnf(19572,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19570]) ).

cnf(19573,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19571]) ).

cnf(19574,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19572]) ).

cnf(19575,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19573]) ).

cnf(19576,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19574]) ).

cnf(19577,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19575]) ).

cnf(19578,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19576]) ).

cnf(19579,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19577]) ).

cnf(19580,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19578]) ).

cnf(19581,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19579]) ).

cnf(19582,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,19580]) ).

cnf(19583,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,19581]) ).

cnf(19584,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19582]) ).

cnf(19585,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19583]) ).

cnf(19586,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19584]) ).

cnf(19587,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19585]) ).

cnf(19588,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19586]) ).

cnf(19589,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19587]) ).

cnf(19590,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19588]) ).

cnf(19591,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19589]) ).

cnf(19592,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19590]) ).

cnf(19593,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19591]) ).

cnf(19594,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19592]) ).

cnf(19595,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19593]) ).

cnf(19596,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19594]) ).

cnf(19597,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19595]) ).

cnf(19598,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,19596]) ).

cnf(19599,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,19597]) ).

cnf(19600,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19598]) ).

cnf(19601,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19599]) ).

cnf(19602,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19600]) ).

cnf(19603,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19601]) ).

cnf(19604,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19602]) ).

cnf(19605,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19603]) ).

cnf(19606,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19604]) ).

cnf(19607,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19605]) ).

cnf(19608,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19606]) ).

cnf(19609,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19607]) ).

cnf(19610,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19608]) ).

cnf(19611,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19609]) ).

cnf(19612,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19610]) ).

cnf(19613,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19611]) ).

cnf(19614,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,19612]) ).

cnf(19615,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,19613]) ).

cnf(19616,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19614]) ).

cnf(19617,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19615]) ).

cnf(19618,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19616]) ).

cnf(19619,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19617]) ).

cnf(19620,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19618]) ).

cnf(19621,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19619]) ).

cnf(19622,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19620]) ).

cnf(19623,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19621]) ).

cnf(19624,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19622]) ).

cnf(19625,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19623]) ).

cnf(19626,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19624]) ).

cnf(19627,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19625]) ).

cnf(19628,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19626]) ).

cnf(19629,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19627]) ).

cnf(19630,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,19628]) ).

cnf(19631,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,19629]) ).

cnf(19632,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19630]) ).

cnf(19633,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19631]) ).

cnf(19634,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19632]) ).

cnf(19635,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19633]) ).

cnf(19636,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19634]) ).

cnf(19637,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19635]) ).

cnf(19638,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19636]) ).

cnf(19639,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19637]) ).

cnf(19640,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19638]) ).

cnf(19641,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19639]) ).

cnf(19642,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19640]) ).

cnf(19643,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19641]) ).

cnf(19644,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19642]) ).

cnf(19645,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19643]) ).

cnf(19646,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,19644]) ).

cnf(19647,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,19645]) ).

cnf(19648,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19646]) ).

cnf(19649,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19647]) ).

cnf(19650,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19648]) ).

cnf(19651,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19649]) ).

cnf(19652,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19650]) ).

cnf(19653,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19651]) ).

cnf(19654,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19652]) ).

cnf(19655,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19653]) ).

cnf(19656,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19654]) ).

cnf(19657,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19655]) ).

cnf(19658,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19656]) ).

cnf(19659,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19657]) ).

cnf(19660,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19658]) ).

cnf(19661,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19659]) ).

cnf(19662,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,19660]) ).

cnf(19663,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,19661]) ).

cnf(19664,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19662]) ).

cnf(19665,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19663]) ).

cnf(19666,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19664]) ).

cnf(19667,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19665]) ).

cnf(19668,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19666]) ).

cnf(19669,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19667]) ).

cnf(19670,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19668]) ).

cnf(19671,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19669]) ).

cnf(19672,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19670]) ).

cnf(19673,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19671]) ).

cnf(19674,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19672]) ).

cnf(19675,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19673]) ).

cnf(19676,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19674]) ).

cnf(19677,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19675]) ).

cnf(19678,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,19676]) ).

cnf(19679,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,19677]) ).

cnf(19680,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19678]) ).

cnf(19681,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19679]) ).

cnf(19682,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19680]) ).

cnf(19683,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19681]) ).

cnf(19684,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19682]) ).

cnf(19685,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19683]) ).

cnf(19686,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19684]) ).

cnf(19687,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19685]) ).

cnf(19688,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19686]) ).

cnf(19689,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19687]) ).

cnf(19690,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19688]) ).

cnf(19691,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19689]) ).

cnf(19692,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19690]) ).

cnf(19693,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19691]) ).

cnf(19694,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,19692]) ).

cnf(19695,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,19693]) ).

cnf(19696,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19694]) ).

cnf(19697,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19695]) ).

cnf(19698,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19696]) ).

cnf(19699,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19697]) ).

cnf(19700,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19698]) ).

cnf(19701,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19699]) ).

cnf(19702,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19700]) ).

cnf(19703,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19701]) ).

cnf(19704,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19702]) ).

cnf(19705,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19703]) ).

cnf(19706,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19704]) ).

cnf(19707,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19705]) ).

cnf(19708,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19706]) ).

cnf(19709,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19707]) ).

cnf(19710,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,19708]) ).

cnf(19711,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,19709]) ).

cnf(19712,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19710]) ).

cnf(19713,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19711]) ).

cnf(19714,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19712]) ).

cnf(19715,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19713]) ).

cnf(19716,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19714]) ).

cnf(19717,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19715]) ).

cnf(19718,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19716]) ).

cnf(19719,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19717]) ).

cnf(19720,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19718]) ).

cnf(19721,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19719]) ).

cnf(19722,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19720]) ).

cnf(19723,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19721]) ).

cnf(19724,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19722]) ).

cnf(19725,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19723]) ).

cnf(19726,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,19724]) ).

cnf(19727,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,19725]) ).

cnf(19728,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19726]) ).

cnf(19729,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19727]) ).

cnf(19730,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19728]) ).

cnf(19731,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19729]) ).

cnf(19732,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19730]) ).

cnf(19733,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19731]) ).

cnf(19734,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19732]) ).

cnf(19735,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19733]) ).

cnf(19736,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19734]) ).

cnf(19737,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19735]) ).

cnf(19738,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19736]) ).

cnf(19739,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19737]) ).

cnf(19740,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19738]) ).

cnf(19741,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19739]) ).

cnf(19742,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,19740]) ).

cnf(19743,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,19741]) ).

cnf(19744,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19742]) ).

cnf(19745,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19743]) ).

cnf(19746,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19744]) ).

cnf(19747,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19745]) ).

cnf(19748,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19746]) ).

cnf(19749,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19747]) ).

cnf(19750,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19748]) ).

cnf(19751,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19749]) ).

cnf(19752,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19750]) ).

cnf(19753,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19751]) ).

cnf(19754,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19752]) ).

cnf(19755,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19753]) ).

cnf(19756,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19754]) ).

cnf(19757,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19755]) ).

cnf(19758,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,19756]) ).

cnf(19759,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,19757]) ).

cnf(19760,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19758]) ).

cnf(19761,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19759]) ).

cnf(19762,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19760]) ).

cnf(19763,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19761]) ).

cnf(19764,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19762]) ).

cnf(19765,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19763]) ).

cnf(19766,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19764]) ).

cnf(19767,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19765]) ).

cnf(19768,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19766]) ).

cnf(19769,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19767]) ).

cnf(19770,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19768]) ).

cnf(19771,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19769]) ).

cnf(19772,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19770]) ).

cnf(19773,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19771]) ).

cnf(19774,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,19772]) ).

cnf(19775,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,19773]) ).

cnf(19776,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19774]) ).

cnf(19777,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19775]) ).

cnf(19778,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19776]) ).

cnf(19779,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19777]) ).

cnf(19780,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19778]) ).

cnf(19781,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19779]) ).

cnf(19782,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19780]) ).

cnf(19783,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19781]) ).

cnf(19784,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19782]) ).

cnf(19785,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19783]) ).

cnf(19786,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19784]) ).

cnf(19787,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19785]) ).

cnf(19788,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19786]) ).

cnf(19789,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19787]) ).

cnf(19790,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,19788]) ).

cnf(19791,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,19789]) ).

cnf(19792,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19790]) ).

cnf(19793,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19791]) ).

cnf(19794,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19792]) ).

cnf(19795,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19793]) ).

cnf(19796,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19794]) ).

cnf(19797,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19795]) ).

cnf(19798,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19796]) ).

cnf(19799,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19797]) ).

cnf(19800,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19798]) ).

cnf(19801,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19799]) ).

cnf(19802,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19800]) ).

cnf(19803,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19801]) ).

cnf(19804,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19802]) ).

cnf(19805,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19803]) ).

cnf(19806,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,19804]) ).

cnf(19807,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,19805]) ).

cnf(19808,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19806]) ).

cnf(19809,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19807]) ).

cnf(19810,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19808]) ).

cnf(19811,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19809]) ).

cnf(19812,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19810]) ).

cnf(19813,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19811]) ).

cnf(19814,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19812]) ).

cnf(19815,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19813]) ).

cnf(19816,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19814]) ).

cnf(19817,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19815]) ).

cnf(19818,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19816]) ).

cnf(19819,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19817]) ).

cnf(19820,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19818]) ).

cnf(19821,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19819]) ).

cnf(19822,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,19820]) ).

cnf(19823,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,19821]) ).

cnf(19824,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19822]) ).

cnf(19825,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19823]) ).

cnf(19826,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19824]) ).

cnf(19827,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19825]) ).

cnf(19828,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19826]) ).

cnf(19829,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19827]) ).

cnf(19830,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19828]) ).

cnf(19831,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19829]) ).

cnf(19832,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19830]) ).

cnf(19833,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19831]) ).

cnf(19834,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19832]) ).

cnf(19835,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19833]) ).

cnf(19836,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19834]) ).

cnf(19837,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19835]) ).

cnf(19838,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,19836]) ).

cnf(19839,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,19837]) ).

cnf(19840,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19838]) ).

cnf(19841,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19839]) ).

cnf(19842,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19840]) ).

cnf(19843,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19841]) ).

cnf(19844,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19842]) ).

cnf(19845,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19843]) ).

cnf(19846,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19844]) ).

cnf(19847,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19845]) ).

cnf(19848,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19846]) ).

cnf(19849,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19847]) ).

cnf(19850,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19848]) ).

cnf(19851,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19849]) ).

cnf(19852,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19850]) ).

cnf(19853,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19851]) ).

cnf(19854,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,19852]) ).

cnf(19855,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,19853]) ).

cnf(19856,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19854]) ).

cnf(19857,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19855]) ).

cnf(19858,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19856]) ).

cnf(19859,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19857]) ).

cnf(19860,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19858]) ).

cnf(19861,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19859]) ).

cnf(19862,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19860]) ).

cnf(19863,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19861]) ).

cnf(19864,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19862]) ).

cnf(19865,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19863]) ).

cnf(19866,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19864]) ).

cnf(19867,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19865]) ).

cnf(19868,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19866]) ).

cnf(19869,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19867]) ).

cnf(19870,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,19868]) ).

cnf(19871,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,19869]) ).

cnf(19872,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19870]) ).

cnf(19873,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19871]) ).

cnf(19874,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19872]) ).

cnf(19875,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19873]) ).

cnf(19876,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19874]) ).

cnf(19877,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19875]) ).

cnf(19878,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19876]) ).

cnf(19879,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19877]) ).

cnf(19880,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19878]) ).

cnf(19881,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19879]) ).

cnf(19882,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19880]) ).

cnf(19883,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19881]) ).

cnf(19884,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19882]) ).

cnf(19885,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19883]) ).

cnf(19886,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,19884]) ).

cnf(19887,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,19885]) ).

cnf(19888,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19886]) ).

cnf(19889,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19887]) ).

cnf(19890,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19888]) ).

cnf(19891,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19889]) ).

cnf(19892,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19890]) ).

cnf(19893,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19891]) ).

cnf(19894,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19892]) ).

cnf(19895,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19893]) ).

cnf(19896,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19894]) ).

cnf(19897,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19895]) ).

cnf(19898,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19896]) ).

cnf(19899,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19897]) ).

cnf(19900,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19898]) ).

cnf(19901,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19899]) ).

cnf(19902,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,19900]) ).

cnf(19903,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,19901]) ).

cnf(19904,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19902]) ).

cnf(19905,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19903]) ).

cnf(19906,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19904]) ).

cnf(19907,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19905]) ).

cnf(19908,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19906]) ).

cnf(19909,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19907]) ).

cnf(19910,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19908]) ).

cnf(19911,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19909]) ).

cnf(19912,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19910]) ).

cnf(19913,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19911]) ).

cnf(19914,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19912]) ).

cnf(19915,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19913]) ).

cnf(19916,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19914]) ).

cnf(19917,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19915]) ).

cnf(19918,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,19916]) ).

cnf(19919,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,19917]) ).

cnf(19920,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19918]) ).

cnf(19921,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19919]) ).

cnf(19922,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19920]) ).

cnf(19923,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19921]) ).

cnf(19924,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19922]) ).

cnf(19925,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19923]) ).

cnf(19926,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19924]) ).

cnf(19927,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19925]) ).

cnf(19928,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19926]) ).

cnf(19929,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19927]) ).

cnf(19930,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19928]) ).

cnf(19931,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19929]) ).

cnf(19932,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19930]) ).

cnf(19933,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19931]) ).

cnf(19934,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,19932]) ).

cnf(19935,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,19933]) ).

cnf(19936,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19934]) ).

cnf(19937,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19935]) ).

cnf(19938,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19936]) ).

cnf(19939,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19937]) ).

cnf(19940,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19938]) ).

cnf(19941,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19939]) ).

cnf(19942,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19940]) ).

cnf(19943,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19941]) ).

cnf(19944,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19942]) ).

cnf(19945,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19943]) ).

cnf(19946,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19944]) ).

cnf(19947,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19945]) ).

cnf(19948,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19946]) ).

cnf(19949,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19947]) ).

cnf(19950,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,19948]) ).

cnf(19951,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,19949]) ).

cnf(19952,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19950]) ).

cnf(19953,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19951]) ).

cnf(19954,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19952]) ).

cnf(19955,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19953]) ).

cnf(19956,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19954]) ).

cnf(19957,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19955]) ).

cnf(19958,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19956]) ).

cnf(19959,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19957]) ).

cnf(19960,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19958]) ).

cnf(19961,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19959]) ).

cnf(19962,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19960]) ).

cnf(19963,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19961]) ).

cnf(19964,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19962]) ).

cnf(19965,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19963]) ).

cnf(19966,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,19964]) ).

cnf(19967,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,19965]) ).

cnf(19968,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19966]) ).

cnf(19969,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19967]) ).

cnf(19970,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19968]) ).

cnf(19971,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19969]) ).

cnf(19972,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19970]) ).

cnf(19973,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19971]) ).

cnf(19974,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19972]) ).

cnf(19975,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19973]) ).

cnf(19976,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19974]) ).

cnf(19977,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19975]) ).

cnf(19978,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19976]) ).

cnf(19979,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19977]) ).

cnf(19980,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19978]) ).

cnf(19981,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19979]) ).

cnf(19982,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,19980]) ).

cnf(19983,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,19981]) ).

cnf(19984,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19982]) ).

cnf(19985,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19983]) ).

cnf(19986,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19984]) ).

cnf(19987,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19985]) ).

cnf(19988,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19986]) ).

cnf(19989,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19987]) ).

cnf(19990,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,19988]) ).

cnf(19991,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,19989]) ).

cnf(19992,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19990]) ).

cnf(19993,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19991]) ).

cnf(19994,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,19992]) ).

cnf(19995,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,19993]) ).

cnf(19996,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19994]) ).

cnf(19997,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19995]) ).

cnf(19998,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[11,19996]) ).

cnf(19999,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[11,19997]) ).

cnf(20000,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,19998]) ).

cnf(20001,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,19999]) ).

cnf(20002,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20000]) ).

cnf(20003,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20001]) ).

cnf(20004,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20002]) ).

cnf(20005,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20003]) ).

cnf(20006,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20004]) ).

cnf(20007,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20005]) ).

cnf(20008,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20006]) ).

cnf(20009,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20007]) ).

cnf(20010,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20008]) ).

cnf(20011,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20009]) ).

cnf(20012,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20010]) ).

cnf(20013,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20011]) ).

cnf(20014,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,20012]) ).

cnf(20015,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,20013]) ).

cnf(20016,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20014]) ).

cnf(20017,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20015]) ).

cnf(20018,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20016]) ).

cnf(20019,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20017]) ).

cnf(20020,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20018]) ).

cnf(20021,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20019]) ).

cnf(20022,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20020]) ).

cnf(20023,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20021]) ).

cnf(20024,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20022]) ).

cnf(20025,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20023]) ).

cnf(20026,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20024]) ).

cnf(20027,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20025]) ).

cnf(20028,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20026]) ).

cnf(20029,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20027]) ).

cnf(20030,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,20028]) ).

cnf(20031,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,20029]) ).

cnf(20032,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20030]) ).

cnf(20033,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20031]) ).

cnf(20034,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20032]) ).

cnf(20035,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20033]) ).

cnf(20036,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20034]) ).

cnf(20037,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20035]) ).

cnf(20038,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20036]) ).

cnf(20039,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20037]) ).

cnf(20040,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20038]) ).

cnf(20041,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20039]) ).

cnf(20042,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20040]) ).

cnf(20043,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20041]) ).

cnf(20044,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20042]) ).

cnf(20045,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20043]) ).

cnf(20046,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,20044]) ).

cnf(20047,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,20045]) ).

cnf(20048,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20046]) ).

cnf(20049,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20047]) ).

cnf(20050,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20048]) ).

cnf(20051,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20049]) ).

cnf(20052,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20050]) ).

cnf(20053,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20051]) ).

cnf(20054,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20052]) ).

cnf(20055,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20053]) ).

cnf(20056,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20054]) ).

cnf(20057,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20055]) ).

cnf(20058,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20056]) ).

cnf(20059,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20057]) ).

cnf(20060,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20058]) ).

cnf(20061,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20059]) ).

cnf(20062,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,20060]) ).

cnf(20063,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,20061]) ).

cnf(20064,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20062]) ).

cnf(20065,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20063]) ).

cnf(20066,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20064]) ).

cnf(20067,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20065]) ).

cnf(20068,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20066]) ).

cnf(20069,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20067]) ).

cnf(20070,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20068]) ).

cnf(20071,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20069]) ).

cnf(20072,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20070]) ).

cnf(20073,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20071]) ).

cnf(20074,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20072]) ).

cnf(20075,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20073]) ).

cnf(20076,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20074]) ).

cnf(20077,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20075]) ).

cnf(20078,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,20076]) ).

cnf(20079,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,20077]) ).

cnf(20080,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20078]) ).

cnf(20081,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20079]) ).

cnf(20082,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20080]) ).

cnf(20083,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20081]) ).

cnf(20084,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20082]) ).

cnf(20085,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20083]) ).

cnf(20086,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20084]) ).

cnf(20087,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20085]) ).

cnf(20088,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20086]) ).

cnf(20089,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20087]) ).

cnf(20090,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20088]) ).

cnf(20091,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20089]) ).

cnf(20092,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20090]) ).

cnf(20093,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20091]) ).

cnf(20094,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,20092]) ).

cnf(20095,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,20093]) ).

cnf(20096,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20094]) ).

cnf(20097,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20095]) ).

cnf(20098,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20096]) ).

cnf(20099,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20097]) ).

cnf(20100,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20098]) ).

cnf(20101,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20099]) ).

cnf(20102,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20100]) ).

cnf(20103,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20101]) ).

cnf(20104,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20102]) ).

cnf(20105,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20103]) ).

cnf(20106,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20104]) ).

cnf(20107,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20105]) ).

cnf(20108,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20106]) ).

cnf(20109,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20107]) ).

cnf(20110,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,20108]) ).

cnf(20111,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,20109]) ).

cnf(20112,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20110]) ).

cnf(20113,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20111]) ).

cnf(20114,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20112]) ).

cnf(20115,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20113]) ).

cnf(20116,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20114]) ).

cnf(20117,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20115]) ).

cnf(20118,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20116]) ).

cnf(20119,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20117]) ).

cnf(20120,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20118]) ).

cnf(20121,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20119]) ).

cnf(20122,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20120]) ).

cnf(20123,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20121]) ).

cnf(20124,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20122]) ).

cnf(20125,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20123]) ).

cnf(20126,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,20124]) ).

cnf(20127,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,20125]) ).

cnf(20128,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20126]) ).

cnf(20129,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20127]) ).

cnf(20130,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20128]) ).

cnf(20131,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20129]) ).

cnf(20132,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20130]) ).

cnf(20133,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20131]) ).

cnf(20134,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20132]) ).

cnf(20135,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20133]) ).

cnf(20136,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20134]) ).

cnf(20137,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20135]) ).

cnf(20138,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20136]) ).

cnf(20139,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20137]) ).

cnf(20140,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20138]) ).

cnf(20141,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20139]) ).

cnf(20142,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,20140]) ).

cnf(20143,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,20141]) ).

cnf(20144,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20142]) ).

cnf(20145,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20143]) ).

cnf(20146,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20144]) ).

cnf(20147,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20145]) ).

cnf(20148,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20146]) ).

cnf(20149,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20147]) ).

cnf(20150,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20148]) ).

cnf(20151,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20149]) ).

cnf(20152,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20150]) ).

cnf(20153,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20151]) ).

cnf(20154,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20152]) ).

cnf(20155,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20153]) ).

cnf(20156,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20154]) ).

cnf(20157,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20155]) ).

cnf(20158,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,20156]) ).

cnf(20159,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,20157]) ).

cnf(20160,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20158]) ).

cnf(20161,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20159]) ).

cnf(20162,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20160]) ).

cnf(20163,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20161]) ).

cnf(20164,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20162]) ).

cnf(20165,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20163]) ).

cnf(20166,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20164]) ).

cnf(20167,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20165]) ).

cnf(20168,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20166]) ).

cnf(20169,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20167]) ).

cnf(20170,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20168]) ).

cnf(20171,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20169]) ).

cnf(20172,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20170]) ).

cnf(20173,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20171]) ).

cnf(20174,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,20172]) ).

cnf(20175,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,20173]) ).

cnf(20176,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20174]) ).

cnf(20177,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20175]) ).

cnf(20178,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20176]) ).

cnf(20179,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20177]) ).

cnf(20180,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20178]) ).

cnf(20181,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20179]) ).

cnf(20182,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20180]) ).

cnf(20183,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20181]) ).

cnf(20184,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20182]) ).

cnf(20185,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20183]) ).

cnf(20186,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20184]) ).

cnf(20187,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20185]) ).

cnf(20188,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20186]) ).

cnf(20189,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20187]) ).

cnf(20190,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,20188]) ).

cnf(20191,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,20189]) ).

cnf(20192,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20190]) ).

cnf(20193,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20191]) ).

cnf(20194,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20192]) ).

cnf(20195,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20193]) ).

cnf(20196,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20194]) ).

cnf(20197,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20195]) ).

cnf(20198,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20196]) ).

cnf(20199,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20197]) ).

cnf(20200,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20198]) ).

cnf(20201,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20199]) ).

cnf(20202,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20200]) ).

cnf(20203,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20201]) ).

cnf(20204,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20202]) ).

cnf(20205,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20203]) ).

cnf(20206,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,20204]) ).

cnf(20207,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,20205]) ).

cnf(20208,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20206]) ).

cnf(20209,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20207]) ).

cnf(20210,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20208]) ).

cnf(20211,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20209]) ).

cnf(20212,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20210]) ).

cnf(20213,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20211]) ).

cnf(20214,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20212]) ).

cnf(20215,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20213]) ).

cnf(20216,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20214]) ).

cnf(20217,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20215]) ).

cnf(20218,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20216]) ).

cnf(20219,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20217]) ).

cnf(20220,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20218]) ).

cnf(20221,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20219]) ).

cnf(20222,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,20220]) ).

cnf(20223,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,20221]) ).

cnf(20224,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20222]) ).

cnf(20225,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20223]) ).

cnf(20226,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20224]) ).

cnf(20227,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20225]) ).

cnf(20228,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20226]) ).

cnf(20229,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20227]) ).

cnf(20230,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20228]) ).

cnf(20231,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20229]) ).

cnf(20232,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20230]) ).

cnf(20233,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20231]) ).

cnf(20234,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20232]) ).

cnf(20235,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20233]) ).

cnf(20236,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20234]) ).

cnf(20237,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20235]) ).

cnf(20238,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,20236]) ).

cnf(20239,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,20237]) ).

cnf(20240,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20238]) ).

cnf(20241,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20239]) ).

cnf(20242,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20240]) ).

cnf(20243,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20241]) ).

cnf(20244,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20242]) ).

cnf(20245,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20243]) ).

cnf(20246,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20244]) ).

cnf(20247,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20245]) ).

cnf(20248,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20246]) ).

cnf(20249,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20247]) ).

cnf(20250,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20248]) ).

cnf(20251,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20249]) ).

cnf(20252,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20250]) ).

cnf(20253,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20251]) ).

cnf(20254,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,20252]) ).

cnf(20255,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,20253]) ).

cnf(20256,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20254]) ).

cnf(20257,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20255]) ).

cnf(20258,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20256]) ).

cnf(20259,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20257]) ).

cnf(20260,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20258]) ).

cnf(20261,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20259]) ).

cnf(20262,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20260]) ).

cnf(20263,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20261]) ).

cnf(20264,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20262]) ).

cnf(20265,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20263]) ).

cnf(20266,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20264]) ).

cnf(20267,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20265]) ).

cnf(20268,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20266]) ).

cnf(20269,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20267]) ).

cnf(20270,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,20268]) ).

cnf(20271,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,20269]) ).

cnf(20272,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20270]) ).

cnf(20273,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20271]) ).

cnf(20274,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20272]) ).

cnf(20275,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20273]) ).

cnf(20276,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20274]) ).

cnf(20277,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20275]) ).

cnf(20278,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20276]) ).

cnf(20279,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20277]) ).

cnf(20280,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20278]) ).

cnf(20281,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20279]) ).

cnf(20282,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20280]) ).

cnf(20283,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20281]) ).

cnf(20284,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20282]) ).

cnf(20285,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20283]) ).

cnf(20286,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,20284]) ).

cnf(20287,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,20285]) ).

cnf(20288,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20286]) ).

cnf(20289,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20287]) ).

cnf(20290,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20288]) ).

cnf(20291,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20289]) ).

cnf(20292,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20290]) ).

cnf(20293,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20291]) ).

cnf(20294,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20292]) ).

cnf(20295,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20293]) ).

cnf(20296,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20294]) ).

cnf(20297,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20295]) ).

cnf(20298,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20296]) ).

cnf(20299,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20297]) ).

cnf(20300,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20298]) ).

cnf(20301,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20299]) ).

cnf(20302,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,20300]) ).

cnf(20303,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,20301]) ).

cnf(20304,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20302]) ).

cnf(20305,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20303]) ).

cnf(20306,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20304]) ).

cnf(20307,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20305]) ).

cnf(20308,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20306]) ).

cnf(20309,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20307]) ).

cnf(20310,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20308]) ).

cnf(20311,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20309]) ).

cnf(20312,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20310]) ).

cnf(20313,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20311]) ).

cnf(20314,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20312]) ).

cnf(20315,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20313]) ).

cnf(20316,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20314]) ).

cnf(20317,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20315]) ).

cnf(20318,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,20316]) ).

cnf(20319,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,20317]) ).

cnf(20320,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20318]) ).

cnf(20321,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20319]) ).

cnf(20322,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20320]) ).

cnf(20323,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20321]) ).

cnf(20324,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20322]) ).

cnf(20325,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20323]) ).

cnf(20326,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20324]) ).

cnf(20327,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20325]) ).

cnf(20328,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20326]) ).

cnf(20329,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20327]) ).

cnf(20330,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20328]) ).

cnf(20331,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20329]) ).

cnf(20332,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20330]) ).

cnf(20333,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20331]) ).

cnf(20334,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,20332]) ).

cnf(20335,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,20333]) ).

cnf(20336,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20334]) ).

cnf(20337,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20335]) ).

cnf(20338,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20336]) ).

cnf(20339,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20337]) ).

cnf(20340,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20338]) ).

cnf(20341,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20339]) ).

cnf(20342,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20340]) ).

cnf(20343,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20341]) ).

cnf(20344,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20342]) ).

cnf(20345,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20343]) ).

cnf(20346,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20344]) ).

cnf(20347,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20345]) ).

cnf(20348,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20346]) ).

cnf(20349,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20347]) ).

cnf(20350,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,20348]) ).

cnf(20351,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,20349]) ).

cnf(20352,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20350]) ).

cnf(20353,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20351]) ).

cnf(20354,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20352]) ).

cnf(20355,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20353]) ).

cnf(20356,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20354]) ).

cnf(20357,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20355]) ).

cnf(20358,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20356]) ).

cnf(20359,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20357]) ).

cnf(20360,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20358]) ).

cnf(20361,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20359]) ).

cnf(20362,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20360]) ).

cnf(20363,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20361]) ).

cnf(20364,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20362]) ).

cnf(20365,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20363]) ).

cnf(20366,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,20364]) ).

cnf(20367,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,20365]) ).

cnf(20368,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20366]) ).

cnf(20369,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20367]) ).

cnf(20370,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20368]) ).

cnf(20371,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20369]) ).

cnf(20372,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20370]) ).

cnf(20373,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20371]) ).

cnf(20374,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20372]) ).

cnf(20375,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20373]) ).

cnf(20376,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20374]) ).

cnf(20377,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20375]) ).

cnf(20378,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20376]) ).

cnf(20379,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20377]) ).

cnf(20380,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20378]) ).

cnf(20381,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20379]) ).

cnf(20382,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,20380]) ).

cnf(20383,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,20381]) ).

cnf(20384,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20382]) ).

cnf(20385,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20383]) ).

cnf(20386,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20384]) ).

cnf(20387,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20385]) ).

cnf(20388,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20386]) ).

cnf(20389,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20387]) ).

cnf(20390,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20388]) ).

cnf(20391,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20389]) ).

cnf(20392,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20390]) ).

cnf(20393,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20391]) ).

cnf(20394,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20392]) ).

cnf(20395,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20393]) ).

cnf(20396,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20394]) ).

cnf(20397,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20395]) ).

cnf(20398,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,20396]) ).

cnf(20399,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,20397]) ).

cnf(20400,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20398]) ).

cnf(20401,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20399]) ).

cnf(20402,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20400]) ).

cnf(20403,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20401]) ).

cnf(20404,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20402]) ).

cnf(20405,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20403]) ).

cnf(20406,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20404]) ).

cnf(20407,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20405]) ).

cnf(20408,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20406]) ).

cnf(20409,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20407]) ).

cnf(20410,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20408]) ).

cnf(20411,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20409]) ).

cnf(20412,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20410]) ).

cnf(20413,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20411]) ).

cnf(20414,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,20412]) ).

cnf(20415,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,20413]) ).

cnf(20416,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20414]) ).

cnf(20417,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20415]) ).

cnf(20418,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20416]) ).

cnf(20419,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20417]) ).

cnf(20420,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20418]) ).

cnf(20421,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20419]) ).

cnf(20422,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20420]) ).

cnf(20423,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20421]) ).

cnf(20424,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20422]) ).

cnf(20425,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20423]) ).

cnf(20426,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20424]) ).

cnf(20427,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20425]) ).

cnf(20428,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20426]) ).

cnf(20429,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20427]) ).

cnf(20430,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,20428]) ).

cnf(20431,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,20429]) ).

cnf(20432,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20430]) ).

cnf(20433,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20431]) ).

cnf(20434,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20432]) ).

cnf(20435,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20433]) ).

cnf(20436,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20434]) ).

cnf(20437,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20435]) ).

cnf(20438,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20436]) ).

cnf(20439,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20437]) ).

cnf(20440,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20438]) ).

cnf(20441,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20439]) ).

cnf(20442,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20440]) ).

cnf(20443,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20441]) ).

cnf(20444,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20442]) ).

cnf(20445,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20443]) ).

cnf(20446,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,20444]) ).

cnf(20447,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,20445]) ).

cnf(20448,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20446]) ).

cnf(20449,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20447]) ).

cnf(20450,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20448]) ).

cnf(20451,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20449]) ).

cnf(20452,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20450]) ).

cnf(20453,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20451]) ).

cnf(20454,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20452]) ).

cnf(20455,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20453]) ).

cnf(20456,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20454]) ).

cnf(20457,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20455]) ).

cnf(20458,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20456]) ).

cnf(20459,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20457]) ).

cnf(20460,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20458]) ).

cnf(20461,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20459]) ).

cnf(20462,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,20460]) ).

cnf(20463,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,20461]) ).

cnf(20464,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20462]) ).

cnf(20465,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20463]) ).

cnf(20466,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20464]) ).

cnf(20467,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20465]) ).

cnf(20468,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20466]) ).

cnf(20469,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20467]) ).

cnf(20470,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20468]) ).

cnf(20471,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20469]) ).

cnf(20472,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20470]) ).

cnf(20473,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20471]) ).

cnf(20474,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20472]) ).

cnf(20475,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20473]) ).

cnf(20476,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20474]) ).

cnf(20477,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20475]) ).

cnf(20478,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,20476]) ).

cnf(20479,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,20477]) ).

cnf(20480,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20478]) ).

cnf(20481,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20479]) ).

cnf(20482,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20480]) ).

cnf(20483,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20481]) ).

cnf(20484,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20482]) ).

cnf(20485,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20483]) ).

cnf(20486,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20484]) ).

cnf(20487,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20485]) ).

cnf(20488,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20486]) ).

cnf(20489,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20487]) ).

cnf(20490,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20488]) ).

cnf(20491,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20489]) ).

cnf(20492,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20490]) ).

cnf(20493,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20491]) ).

cnf(20494,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,20492]) ).

cnf(20495,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,20493]) ).

cnf(20496,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20494]) ).

cnf(20497,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20495]) ).

cnf(20498,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20496]) ).

cnf(20499,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20497]) ).

cnf(20500,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20498]) ).

cnf(20501,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20499]) ).

cnf(20502,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20500]) ).

cnf(20503,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20501]) ).

cnf(20504,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20502]) ).

cnf(20505,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20503]) ).

cnf(20506,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20504]) ).

cnf(20507,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20505]) ).

cnf(20508,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20506]) ).

cnf(20509,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20507]) ).

cnf(20510,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[14,20508]) ).

cnf(20511,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[14,20509]) ).

cnf(20512,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20510]) ).

cnf(20513,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20511]) ).

cnf(20514,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20512]) ).

cnf(20515,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20513]) ).

cnf(20516,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20514]) ).

cnf(20517,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20515]) ).

cnf(20518,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20516]) ).

cnf(20519,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20517]) ).

cnf(20520,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20518]) ).

cnf(20521,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20519]) ).

cnf(20522,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20520]) ).

cnf(20523,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20521]) ).

cnf(20524,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20522]) ).

cnf(20525,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20523]) ).

cnf(20526,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,20524]) ).

cnf(20527,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,20525]) ).

cnf(20528,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20526]) ).

cnf(20529,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20527]) ).

cnf(20530,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20528]) ).

cnf(20531,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20529]) ).

cnf(20532,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20530]) ).

cnf(20533,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20531]) ).

cnf(20534,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20532]) ).

cnf(20535,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20533]) ).

cnf(20536,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20534]) ).

cnf(20537,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20535]) ).

cnf(20538,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20536]) ).

cnf(20539,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20537]) ).

cnf(20540,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20538]) ).

cnf(20541,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20539]) ).

cnf(20542,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,20540]) ).

cnf(20543,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,20541]) ).

cnf(20544,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20542]) ).

cnf(20545,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20543]) ).

cnf(20546,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20544]) ).

cnf(20547,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20545]) ).

cnf(20548,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20546]) ).

cnf(20549,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20547]) ).

cnf(20550,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20548]) ).

cnf(20551,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20549]) ).

cnf(20552,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20550]) ).

cnf(20553,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20551]) ).

cnf(20554,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20552]) ).

cnf(20555,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20553]) ).

cnf(20556,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20554]) ).

cnf(20557,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20555]) ).

cnf(20558,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,20556]) ).

cnf(20559,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,20557]) ).

cnf(20560,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20558]) ).

cnf(20561,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20559]) ).

cnf(20562,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20560]) ).

cnf(20563,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20561]) ).

cnf(20564,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20562]) ).

cnf(20565,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20563]) ).

cnf(20566,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20564]) ).

cnf(20567,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20565]) ).

cnf(20568,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20566]) ).

cnf(20569,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20567]) ).

cnf(20570,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20568]) ).

cnf(20571,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20569]) ).

cnf(20572,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20570]) ).

cnf(20573,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20571]) ).

cnf(20574,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,20572]) ).

cnf(20575,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,20573]) ).

cnf(20576,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20574]) ).

cnf(20577,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20575]) ).

cnf(20578,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20576]) ).

cnf(20579,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20577]) ).

cnf(20580,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20578]) ).

cnf(20581,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20579]) ).

cnf(20582,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20580]) ).

cnf(20583,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20581]) ).

cnf(20584,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20582]) ).

cnf(20585,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20583]) ).

cnf(20586,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20584]) ).

cnf(20587,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20585]) ).

cnf(20588,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20586]) ).

cnf(20589,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20587]) ).

cnf(20590,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,20588]) ).

cnf(20591,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,20589]) ).

cnf(20592,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20590]) ).

cnf(20593,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20591]) ).

cnf(20594,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20592]) ).

cnf(20595,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20593]) ).

cnf(20596,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20594]) ).

cnf(20597,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20595]) ).

cnf(20598,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20596]) ).

cnf(20599,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20597]) ).

cnf(20600,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20598]) ).

cnf(20601,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20599]) ).

cnf(20602,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20600]) ).

cnf(20603,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20601]) ).

cnf(20604,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20602]) ).

cnf(20605,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20603]) ).

cnf(20606,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,20604]) ).

cnf(20607,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,20605]) ).

cnf(20608,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20606]) ).

cnf(20609,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20607]) ).

cnf(20610,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20608]) ).

cnf(20611,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20609]) ).

cnf(20612,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20610]) ).

cnf(20613,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20611]) ).

cnf(20614,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20612]) ).

cnf(20615,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20613]) ).

cnf(20616,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20614]) ).

cnf(20617,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20615]) ).

cnf(20618,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20616]) ).

cnf(20619,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20617]) ).

cnf(20620,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20618]) ).

cnf(20621,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20619]) ).

cnf(20622,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,20620]) ).

cnf(20623,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,20621]) ).

cnf(20624,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20622]) ).

cnf(20625,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20623]) ).

cnf(20626,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20624]) ).

cnf(20627,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20625]) ).

cnf(20628,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20626]) ).

cnf(20629,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20627]) ).

cnf(20630,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20628]) ).

cnf(20631,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20629]) ).

cnf(20632,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20630]) ).

cnf(20633,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20631]) ).

cnf(20634,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20632]) ).

cnf(20635,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20633]) ).

cnf(20636,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20634]) ).

cnf(20637,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20635]) ).

cnf(20638,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,20636]) ).

cnf(20639,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,20637]) ).

cnf(20640,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20638]) ).

cnf(20641,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20639]) ).

cnf(20642,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20640]) ).

cnf(20643,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20641]) ).

cnf(20644,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20642]) ).

cnf(20645,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20643]) ).

cnf(20646,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20644]) ).

cnf(20647,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20645]) ).

cnf(20648,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20646]) ).

cnf(20649,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20647]) ).

cnf(20650,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20648]) ).

cnf(20651,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20649]) ).

cnf(20652,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20650]) ).

cnf(20653,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20651]) ).

cnf(20654,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,20652]) ).

cnf(20655,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,20653]) ).

cnf(20656,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20654]) ).

cnf(20657,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20655]) ).

cnf(20658,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20656]) ).

cnf(20659,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20657]) ).

cnf(20660,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20658]) ).

cnf(20661,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20659]) ).

cnf(20662,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20660]) ).

cnf(20663,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20661]) ).

cnf(20664,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20662]) ).

cnf(20665,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20663]) ).

cnf(20666,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20664]) ).

cnf(20667,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20665]) ).

cnf(20668,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20666]) ).

cnf(20669,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20667]) ).

cnf(20670,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,20668]) ).

cnf(20671,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,20669]) ).

cnf(20672,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20670]) ).

cnf(20673,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20671]) ).

cnf(20674,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20672]) ).

cnf(20675,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20673]) ).

cnf(20676,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20674]) ).

cnf(20677,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20675]) ).

cnf(20678,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20676]) ).

cnf(20679,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20677]) ).

cnf(20680,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20678]) ).

cnf(20681,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20679]) ).

cnf(20682,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20680]) ).

cnf(20683,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20681]) ).

cnf(20684,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20682]) ).

cnf(20685,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20683]) ).

cnf(20686,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,20684]) ).

cnf(20687,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,20685]) ).

cnf(20688,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20686]) ).

cnf(20689,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20687]) ).

cnf(20690,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20688]) ).

cnf(20691,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20689]) ).

cnf(20692,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20690]) ).

cnf(20693,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20691]) ).

cnf(20694,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20692]) ).

cnf(20695,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20693]) ).

cnf(20696,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20694]) ).

cnf(20697,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20695]) ).

cnf(20698,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20696]) ).

cnf(20699,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20697]) ).

cnf(20700,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20698]) ).

cnf(20701,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20699]) ).

cnf(20702,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,20700]) ).

cnf(20703,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,20701]) ).

cnf(20704,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20702]) ).

cnf(20705,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20703]) ).

cnf(20706,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20704]) ).

cnf(20707,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20705]) ).

cnf(20708,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20706]) ).

cnf(20709,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20707]) ).

cnf(20710,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20708]) ).

cnf(20711,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20709]) ).

cnf(20712,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20710]) ).

cnf(20713,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20711]) ).

cnf(20714,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20712]) ).

cnf(20715,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20713]) ).

cnf(20716,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20714]) ).

cnf(20717,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20715]) ).

cnf(20718,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,20716]) ).

cnf(20719,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,20717]) ).

cnf(20720,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20718]) ).

cnf(20721,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20719]) ).

cnf(20722,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20720]) ).

cnf(20723,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20721]) ).

cnf(20724,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20722]) ).

cnf(20725,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20723]) ).

cnf(20726,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20724]) ).

cnf(20727,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20725]) ).

cnf(20728,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20726]) ).

cnf(20729,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20727]) ).

cnf(20730,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20728]) ).

cnf(20731,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20729]) ).

cnf(20732,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20730]) ).

cnf(20733,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20731]) ).

cnf(20734,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,20732]) ).

cnf(20735,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,20733]) ).

cnf(20736,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20734]) ).

cnf(20737,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20735]) ).

cnf(20738,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20736]) ).

cnf(20739,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20737]) ).

cnf(20740,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20738]) ).

cnf(20741,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20739]) ).

cnf(20742,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20740]) ).

cnf(20743,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20741]) ).

cnf(20744,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20742]) ).

cnf(20745,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20743]) ).

cnf(20746,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20744]) ).

cnf(20747,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20745]) ).

cnf(20748,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20746]) ).

cnf(20749,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20747]) ).

cnf(20750,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,20748]) ).

cnf(20751,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,20749]) ).

cnf(20752,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20750]) ).

cnf(20753,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20751]) ).

cnf(20754,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20752]) ).

cnf(20755,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20753]) ).

cnf(20756,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20754]) ).

cnf(20757,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20755]) ).

cnf(20758,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20756]) ).

cnf(20759,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20757]) ).

cnf(20760,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20758]) ).

cnf(20761,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20759]) ).

cnf(20762,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20760]) ).

cnf(20763,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20761]) ).

cnf(20764,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20762]) ).

cnf(20765,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20763]) ).

cnf(20766,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,20764]) ).

cnf(20767,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,20765]) ).

cnf(20768,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20766]) ).

cnf(20769,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20767]) ).

cnf(20770,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20768]) ).

cnf(20771,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20769]) ).

cnf(20772,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20770]) ).

cnf(20773,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20771]) ).

cnf(20774,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20772]) ).

cnf(20775,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20773]) ).

cnf(20776,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20774]) ).

cnf(20777,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20775]) ).

cnf(20778,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20776]) ).

cnf(20779,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20777]) ).

cnf(20780,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20778]) ).

cnf(20781,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20779]) ).

cnf(20782,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,20780]) ).

cnf(20783,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,20781]) ).

cnf(20784,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20782]) ).

cnf(20785,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20783]) ).

cnf(20786,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20784]) ).

cnf(20787,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20785]) ).

cnf(20788,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20786]) ).

cnf(20789,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20787]) ).

cnf(20790,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20788]) ).

cnf(20791,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20789]) ).

cnf(20792,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20790]) ).

cnf(20793,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20791]) ).

cnf(20794,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20792]) ).

cnf(20795,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20793]) ).

cnf(20796,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20794]) ).

cnf(20797,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20795]) ).

cnf(20798,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,20796]) ).

cnf(20799,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,20797]) ).

cnf(20800,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20798]) ).

cnf(20801,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20799]) ).

cnf(20802,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20800]) ).

cnf(20803,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20801]) ).

cnf(20804,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20802]) ).

cnf(20805,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20803]) ).

cnf(20806,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20804]) ).

cnf(20807,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20805]) ).

cnf(20808,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20806]) ).

cnf(20809,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20807]) ).

cnf(20810,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20808]) ).

cnf(20811,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20809]) ).

cnf(20812,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20810]) ).

cnf(20813,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20811]) ).

cnf(20814,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,20812]) ).

cnf(20815,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,20813]) ).

cnf(20816,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20814]) ).

cnf(20817,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20815]) ).

cnf(20818,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20816]) ).

cnf(20819,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20817]) ).

cnf(20820,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20818]) ).

cnf(20821,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20819]) ).

cnf(20822,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20820]) ).

cnf(20823,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20821]) ).

cnf(20824,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20822]) ).

cnf(20825,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20823]) ).

cnf(20826,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20824]) ).

cnf(20827,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20825]) ).

cnf(20828,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20826]) ).

cnf(20829,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20827]) ).

cnf(20830,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,20828]) ).

cnf(20831,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,20829]) ).

cnf(20832,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20830]) ).

cnf(20833,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20831]) ).

cnf(20834,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20832]) ).

cnf(20835,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20833]) ).

cnf(20836,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20834]) ).

cnf(20837,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20835]) ).

cnf(20838,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20836]) ).

cnf(20839,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20837]) ).

cnf(20840,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20838]) ).

cnf(20841,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20839]) ).

cnf(20842,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20840]) ).

cnf(20843,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20841]) ).

cnf(20844,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20842]) ).

cnf(20845,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20843]) ).

cnf(20846,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,20844]) ).

cnf(20847,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,20845]) ).

cnf(20848,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20846]) ).

cnf(20849,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20847]) ).

cnf(20850,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20848]) ).

cnf(20851,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20849]) ).

cnf(20852,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20850]) ).

cnf(20853,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20851]) ).

cnf(20854,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20852]) ).

cnf(20855,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20853]) ).

cnf(20856,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20854]) ).

cnf(20857,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20855]) ).

cnf(20858,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20856]) ).

cnf(20859,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20857]) ).

cnf(20860,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20858]) ).

cnf(20861,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20859]) ).

cnf(20862,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,20860]) ).

cnf(20863,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,20861]) ).

cnf(20864,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20862]) ).

cnf(20865,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20863]) ).

cnf(20866,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20864]) ).

cnf(20867,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20865]) ).

cnf(20868,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20866]) ).

cnf(20869,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20867]) ).

cnf(20870,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20868]) ).

cnf(20871,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20869]) ).

cnf(20872,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20870]) ).

cnf(20873,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20871]) ).

cnf(20874,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20872]) ).

cnf(20875,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20873]) ).

cnf(20876,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20874]) ).

cnf(20877,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20875]) ).

cnf(20878,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,20876]) ).

cnf(20879,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,20877]) ).

cnf(20880,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20878]) ).

cnf(20881,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20879]) ).

cnf(20882,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20880]) ).

cnf(20883,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20881]) ).

cnf(20884,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20882]) ).

cnf(20885,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20883]) ).

cnf(20886,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20884]) ).

cnf(20887,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20885]) ).

cnf(20888,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20886]) ).

cnf(20889,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20887]) ).

cnf(20890,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20888]) ).

cnf(20891,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20889]) ).

cnf(20892,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20890]) ).

cnf(20893,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20891]) ).

cnf(20894,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,20892]) ).

cnf(20895,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,20893]) ).

cnf(20896,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20894]) ).

cnf(20897,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20895]) ).

cnf(20898,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20896]) ).

cnf(20899,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20897]) ).

cnf(20900,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20898]) ).

cnf(20901,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20899]) ).

cnf(20902,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20900]) ).

cnf(20903,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20901]) ).

cnf(20904,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20902]) ).

cnf(20905,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20903]) ).

cnf(20906,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20904]) ).

cnf(20907,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20905]) ).

cnf(20908,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20906]) ).

cnf(20909,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20907]) ).

cnf(20910,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,20908]) ).

cnf(20911,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,20909]) ).

cnf(20912,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20910]) ).

cnf(20913,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20911]) ).

cnf(20914,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20912]) ).

cnf(20915,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20913]) ).

cnf(20916,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20914]) ).

cnf(20917,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20915]) ).

cnf(20918,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20916]) ).

cnf(20919,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20917]) ).

cnf(20920,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20918]) ).

cnf(20921,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20919]) ).

cnf(20922,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20920]) ).

cnf(20923,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20921]) ).

cnf(20924,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20922]) ).

cnf(20925,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20923]) ).

cnf(20926,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,20924]) ).

cnf(20927,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,20925]) ).

cnf(20928,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20926]) ).

cnf(20929,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20927]) ).

cnf(20930,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20928]) ).

cnf(20931,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20929]) ).

cnf(20932,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20930]) ).

cnf(20933,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20931]) ).

cnf(20934,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20932]) ).

cnf(20935,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20933]) ).

cnf(20936,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20934]) ).

cnf(20937,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20935]) ).

cnf(20938,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20936]) ).

cnf(20939,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20937]) ).

cnf(20940,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20938]) ).

cnf(20941,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20939]) ).

cnf(20942,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,20940]) ).

cnf(20943,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,20941]) ).

cnf(20944,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20942]) ).

cnf(20945,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20943]) ).

cnf(20946,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20944]) ).

cnf(20947,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20945]) ).

cnf(20948,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20946]) ).

cnf(20949,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20947]) ).

cnf(20950,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20948]) ).

cnf(20951,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20949]) ).

cnf(20952,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20950]) ).

cnf(20953,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20951]) ).

cnf(20954,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20952]) ).

cnf(20955,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20953]) ).

cnf(20956,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20954]) ).

cnf(20957,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20955]) ).

cnf(20958,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,20956]) ).

cnf(20959,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,20957]) ).

cnf(20960,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20958]) ).

cnf(20961,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20959]) ).

cnf(20962,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20960]) ).

cnf(20963,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20961]) ).

cnf(20964,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20962]) ).

cnf(20965,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20963]) ).

cnf(20966,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20964]) ).

cnf(20967,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20965]) ).

cnf(20968,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20966]) ).

cnf(20969,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20967]) ).

cnf(20970,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20968]) ).

cnf(20971,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20969]) ).

cnf(20972,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20970]) ).

cnf(20973,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20971]) ).

cnf(20974,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,20972]) ).

cnf(20975,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,20973]) ).

cnf(20976,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20974]) ).

cnf(20977,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20975]) ).

cnf(20978,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20976]) ).

cnf(20979,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20977]) ).

cnf(20980,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20978]) ).

cnf(20981,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20979]) ).

cnf(20982,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20980]) ).

cnf(20983,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20981]) ).

cnf(20984,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20982]) ).

cnf(20985,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20983]) ).

cnf(20986,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20984]) ).

cnf(20987,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20985]) ).

cnf(20988,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20986]) ).

cnf(20989,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20987]) ).

cnf(20990,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,20988]) ).

cnf(20991,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,20989]) ).

cnf(20992,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20990]) ).

cnf(20993,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20991]) ).

cnf(20994,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,20992]) ).

cnf(20995,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,20993]) ).

cnf(20996,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20994]) ).

cnf(20997,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20995]) ).

cnf(20998,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,20996]) ).

cnf(20999,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,20997]) ).

cnf(21000,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,20998]) ).

cnf(21001,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,20999]) ).

cnf(21002,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21000]) ).

cnf(21003,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21001]) ).

cnf(21004,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21002]) ).

cnf(21005,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21003]) ).

cnf(21006,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,21004]) ).

cnf(21007,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,21005]) ).

cnf(21008,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21006]) ).

cnf(21009,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21007]) ).

cnf(21010,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21008]) ).

cnf(21011,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21009]) ).

cnf(21012,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21010]) ).

cnf(21013,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21011]) ).

cnf(21014,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21012]) ).

cnf(21015,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21013]) ).

cnf(21016,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21014]) ).

cnf(21017,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21015]) ).

cnf(21018,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21016]) ).

cnf(21019,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21017]) ).

cnf(21020,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21018]) ).

cnf(21021,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21019]) ).

cnf(21022,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[11,21020]) ).

cnf(21023,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[11,21021]) ).

cnf(21024,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21022]) ).

cnf(21025,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21023]) ).

cnf(21026,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21024]) ).

cnf(21027,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21025]) ).

cnf(21028,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21026]) ).

cnf(21029,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21027]) ).

cnf(21030,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21028]) ).

cnf(21031,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21029]) ).

cnf(21032,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21030]) ).

cnf(21033,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21031]) ).

cnf(21034,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21032]) ).

cnf(21035,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21033]) ).

cnf(21036,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21034]) ).

cnf(21037,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21035]) ).

cnf(21038,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,21036]) ).

cnf(21039,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,21037]) ).

cnf(21040,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21038]) ).

cnf(21041,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21039]) ).

cnf(21042,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21040]) ).

cnf(21043,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21041]) ).

cnf(21044,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21042]) ).

cnf(21045,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21043]) ).

cnf(21046,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21044]) ).

cnf(21047,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21045]) ).

cnf(21048,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21046]) ).

cnf(21049,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21047]) ).

cnf(21050,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21048]) ).

cnf(21051,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21049]) ).

cnf(21052,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21050]) ).

cnf(21053,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21051]) ).

cnf(21054,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,21052]) ).

cnf(21055,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,21053]) ).

cnf(21056,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21054]) ).

cnf(21057,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21055]) ).

cnf(21058,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21056]) ).

cnf(21059,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21057]) ).

cnf(21060,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21058]) ).

cnf(21061,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21059]) ).

cnf(21062,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21060]) ).

cnf(21063,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21061]) ).

cnf(21064,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21062]) ).

cnf(21065,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21063]) ).

cnf(21066,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21064]) ).

cnf(21067,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21065]) ).

cnf(21068,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21066]) ).

cnf(21069,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21067]) ).

cnf(21070,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,21068]) ).

cnf(21071,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,21069]) ).

cnf(21072,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21070]) ).

cnf(21073,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21071]) ).

cnf(21074,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21072]) ).

cnf(21075,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21073]) ).

cnf(21076,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21074]) ).

cnf(21077,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21075]) ).

cnf(21078,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21076]) ).

cnf(21079,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21077]) ).

cnf(21080,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21078]) ).

cnf(21081,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21079]) ).

cnf(21082,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21080]) ).

cnf(21083,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21081]) ).

cnf(21084,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21082]) ).

cnf(21085,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21083]) ).

cnf(21086,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,21084]) ).

cnf(21087,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,21085]) ).

cnf(21088,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21086]) ).

cnf(21089,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21087]) ).

cnf(21090,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21088]) ).

cnf(21091,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21089]) ).

cnf(21092,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21090]) ).

cnf(21093,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21091]) ).

cnf(21094,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21092]) ).

cnf(21095,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21093]) ).

cnf(21096,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21094]) ).

cnf(21097,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21095]) ).

cnf(21098,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21096]) ).

cnf(21099,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21097]) ).

cnf(21100,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21098]) ).

cnf(21101,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21099]) ).

cnf(21102,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,21100]) ).

cnf(21103,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,21101]) ).

cnf(21104,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21102]) ).

cnf(21105,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21103]) ).

cnf(21106,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21104]) ).

cnf(21107,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21105]) ).

cnf(21108,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21106]) ).

cnf(21109,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21107]) ).

cnf(21110,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21108]) ).

cnf(21111,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21109]) ).

cnf(21112,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21110]) ).

cnf(21113,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21111]) ).

cnf(21114,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21112]) ).

cnf(21115,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21113]) ).

cnf(21116,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21114]) ).

cnf(21117,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21115]) ).

cnf(21118,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,21116]) ).

cnf(21119,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,21117]) ).

cnf(21120,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21118]) ).

cnf(21121,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21119]) ).

cnf(21122,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21120]) ).

cnf(21123,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21121]) ).

cnf(21124,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21122]) ).

cnf(21125,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21123]) ).

cnf(21126,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21124]) ).

cnf(21127,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21125]) ).

cnf(21128,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21126]) ).

cnf(21129,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21127]) ).

cnf(21130,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21128]) ).

cnf(21131,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21129]) ).

cnf(21132,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21130]) ).

cnf(21133,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21131]) ).

cnf(21134,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,21132]) ).

cnf(21135,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,21133]) ).

cnf(21136,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21134]) ).

cnf(21137,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21135]) ).

cnf(21138,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21136]) ).

cnf(21139,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21137]) ).

cnf(21140,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21138]) ).

cnf(21141,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21139]) ).

cnf(21142,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21140]) ).

cnf(21143,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21141]) ).

cnf(21144,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21142]) ).

cnf(21145,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21143]) ).

cnf(21146,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21144]) ).

cnf(21147,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21145]) ).

cnf(21148,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21146]) ).

cnf(21149,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21147]) ).

cnf(21150,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,21148]) ).

cnf(21151,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,21149]) ).

cnf(21152,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21150]) ).

cnf(21153,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21151]) ).

cnf(21154,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21152]) ).

cnf(21155,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21153]) ).

cnf(21156,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21154]) ).

cnf(21157,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21155]) ).

cnf(21158,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21156]) ).

cnf(21159,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21157]) ).

cnf(21160,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21158]) ).

cnf(21161,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21159]) ).

cnf(21162,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21160]) ).

cnf(21163,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21161]) ).

cnf(21164,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21162]) ).

cnf(21165,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21163]) ).

cnf(21166,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,21164]) ).

cnf(21167,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,21165]) ).

cnf(21168,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21166]) ).

cnf(21169,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21167]) ).

cnf(21170,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21168]) ).

cnf(21171,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21169]) ).

cnf(21172,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21170]) ).

cnf(21173,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21171]) ).

cnf(21174,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21172]) ).

cnf(21175,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21173]) ).

cnf(21176,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21174]) ).

cnf(21177,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21175]) ).

cnf(21178,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21176]) ).

cnf(21179,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21177]) ).

cnf(21180,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21178]) ).

cnf(21181,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21179]) ).

cnf(21182,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,21180]) ).

cnf(21183,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,21181]) ).

cnf(21184,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21182]) ).

cnf(21185,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21183]) ).

cnf(21186,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21184]) ).

cnf(21187,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21185]) ).

cnf(21188,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21186]) ).

cnf(21189,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21187]) ).

cnf(21190,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21188]) ).

cnf(21191,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21189]) ).

cnf(21192,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21190]) ).

cnf(21193,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21191]) ).

cnf(21194,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21192]) ).

cnf(21195,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21193]) ).

cnf(21196,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21194]) ).

cnf(21197,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21195]) ).

cnf(21198,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,21196]) ).

cnf(21199,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,21197]) ).

cnf(21200,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21198]) ).

cnf(21201,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21199]) ).

cnf(21202,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21200]) ).

cnf(21203,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21201]) ).

cnf(21204,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21202]) ).

cnf(21205,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21203]) ).

cnf(21206,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21204]) ).

cnf(21207,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21205]) ).

cnf(21208,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21206]) ).

cnf(21209,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21207]) ).

cnf(21210,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21208]) ).

cnf(21211,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21209]) ).

cnf(21212,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21210]) ).

cnf(21213,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21211]) ).

cnf(21214,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,21212]) ).

cnf(21215,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,21213]) ).

cnf(21216,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21214]) ).

cnf(21217,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21215]) ).

cnf(21218,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21216]) ).

cnf(21219,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21217]) ).

cnf(21220,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21218]) ).

cnf(21221,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21219]) ).

cnf(21222,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21220]) ).

cnf(21223,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21221]) ).

cnf(21224,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21222]) ).

cnf(21225,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21223]) ).

cnf(21226,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21224]) ).

cnf(21227,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21225]) ).

cnf(21228,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21226]) ).

cnf(21229,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21227]) ).

cnf(21230,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,21228]) ).

cnf(21231,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,21229]) ).

cnf(21232,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21230]) ).

cnf(21233,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21231]) ).

cnf(21234,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21232]) ).

cnf(21235,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21233]) ).

cnf(21236,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21234]) ).

cnf(21237,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21235]) ).

cnf(21238,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21236]) ).

cnf(21239,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21237]) ).

cnf(21240,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21238]) ).

cnf(21241,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21239]) ).

cnf(21242,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21240]) ).

cnf(21243,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21241]) ).

cnf(21244,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21242]) ).

cnf(21245,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21243]) ).

cnf(21246,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,21244]) ).

cnf(21247,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,21245]) ).

cnf(21248,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21246]) ).

cnf(21249,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21247]) ).

cnf(21250,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21248]) ).

cnf(21251,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21249]) ).

cnf(21252,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21250]) ).

cnf(21253,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21251]) ).

cnf(21254,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21252]) ).

cnf(21255,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21253]) ).

cnf(21256,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21254]) ).

cnf(21257,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21255]) ).

cnf(21258,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21256]) ).

cnf(21259,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21257]) ).

cnf(21260,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21258]) ).

cnf(21261,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21259]) ).

cnf(21262,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,21260]) ).

cnf(21263,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,21261]) ).

cnf(21264,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21262]) ).

cnf(21265,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21263]) ).

cnf(21266,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21264]) ).

cnf(21267,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21265]) ).

cnf(21268,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21266]) ).

cnf(21269,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21267]) ).

cnf(21270,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21268]) ).

cnf(21271,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21269]) ).

cnf(21272,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21270]) ).

cnf(21273,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21271]) ).

cnf(21274,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21272]) ).

cnf(21275,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21273]) ).

cnf(21276,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21274]) ).

cnf(21277,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21275]) ).

cnf(21278,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,21276]) ).

cnf(21279,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,21277]) ).

cnf(21280,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21278]) ).

cnf(21281,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21279]) ).

cnf(21282,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21280]) ).

cnf(21283,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21281]) ).

cnf(21284,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21282]) ).

cnf(21285,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21283]) ).

cnf(21286,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21284]) ).

cnf(21287,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21285]) ).

cnf(21288,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21286]) ).

cnf(21289,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21287]) ).

cnf(21290,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21288]) ).

cnf(21291,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21289]) ).

cnf(21292,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21290]) ).

cnf(21293,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21291]) ).

cnf(21294,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,21292]) ).

cnf(21295,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,21293]) ).

cnf(21296,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21294]) ).

cnf(21297,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21295]) ).

cnf(21298,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21296]) ).

cnf(21299,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21297]) ).

cnf(21300,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21298]) ).

cnf(21301,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21299]) ).

cnf(21302,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21300]) ).

cnf(21303,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21301]) ).

cnf(21304,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21302]) ).

cnf(21305,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21303]) ).

cnf(21306,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21304]) ).

cnf(21307,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21305]) ).

cnf(21308,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21306]) ).

cnf(21309,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21307]) ).

cnf(21310,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,21308]) ).

cnf(21311,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,21309]) ).

cnf(21312,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21310]) ).

cnf(21313,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21311]) ).

cnf(21314,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21312]) ).

cnf(21315,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21313]) ).

cnf(21316,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21314]) ).

cnf(21317,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21315]) ).

cnf(21318,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21316]) ).

cnf(21319,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21317]) ).

cnf(21320,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21318]) ).

cnf(21321,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21319]) ).

cnf(21322,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21320]) ).

cnf(21323,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21321]) ).

cnf(21324,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21322]) ).

cnf(21325,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21323]) ).

cnf(21326,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,21324]) ).

cnf(21327,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,21325]) ).

cnf(21328,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21326]) ).

cnf(21329,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21327]) ).

cnf(21330,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21328]) ).

cnf(21331,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21329]) ).

cnf(21332,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21330]) ).

cnf(21333,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21331]) ).

cnf(21334,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21332]) ).

cnf(21335,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21333]) ).

cnf(21336,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21334]) ).

cnf(21337,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21335]) ).

cnf(21338,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21336]) ).

cnf(21339,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21337]) ).

cnf(21340,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21338]) ).

cnf(21341,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21339]) ).

cnf(21342,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,21340]) ).

cnf(21343,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,21341]) ).

cnf(21344,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21342]) ).

cnf(21345,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21343]) ).

cnf(21346,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21344]) ).

cnf(21347,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21345]) ).

cnf(21348,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21346]) ).

cnf(21349,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21347]) ).

cnf(21350,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21348]) ).

cnf(21351,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21349]) ).

cnf(21352,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21350]) ).

cnf(21353,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21351]) ).

cnf(21354,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21352]) ).

cnf(21355,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21353]) ).

cnf(21356,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21354]) ).

cnf(21357,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21355]) ).

cnf(21358,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,21356]) ).

cnf(21359,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,21357]) ).

cnf(21360,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21358]) ).

cnf(21361,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21359]) ).

cnf(21362,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21360]) ).

cnf(21363,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21361]) ).

cnf(21364,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21362]) ).

cnf(21365,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21363]) ).

cnf(21366,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21364]) ).

cnf(21367,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21365]) ).

cnf(21368,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21366]) ).

cnf(21369,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21367]) ).

cnf(21370,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21368]) ).

cnf(21371,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21369]) ).

cnf(21372,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21370]) ).

cnf(21373,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21371]) ).

cnf(21374,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,21372]) ).

cnf(21375,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,21373]) ).

cnf(21376,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21374]) ).

cnf(21377,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21375]) ).

cnf(21378,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21376]) ).

cnf(21379,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21377]) ).

cnf(21380,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21378]) ).

cnf(21381,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21379]) ).

cnf(21382,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21380]) ).

cnf(21383,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21381]) ).

cnf(21384,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21382]) ).

cnf(21385,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21383]) ).

cnf(21386,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21384]) ).

cnf(21387,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21385]) ).

cnf(21388,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21386]) ).

cnf(21389,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21387]) ).

cnf(21390,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,21388]) ).

cnf(21391,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,21389]) ).

cnf(21392,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21390]) ).

cnf(21393,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21391]) ).

cnf(21394,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21392]) ).

cnf(21395,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21393]) ).

cnf(21396,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21394]) ).

cnf(21397,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21395]) ).

cnf(21398,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21396]) ).

cnf(21399,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21397]) ).

cnf(21400,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21398]) ).

cnf(21401,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21399]) ).

cnf(21402,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21400]) ).

cnf(21403,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21401]) ).

cnf(21404,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21402]) ).

cnf(21405,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21403]) ).

cnf(21406,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,21404]) ).

cnf(21407,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,21405]) ).

cnf(21408,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21406]) ).

cnf(21409,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21407]) ).

cnf(21410,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21408]) ).

cnf(21411,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21409]) ).

cnf(21412,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21410]) ).

cnf(21413,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21411]) ).

cnf(21414,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21412]) ).

cnf(21415,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21413]) ).

cnf(21416,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21414]) ).

cnf(21417,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21415]) ).

cnf(21418,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21416]) ).

cnf(21419,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21417]) ).

cnf(21420,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21418]) ).

cnf(21421,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21419]) ).

cnf(21422,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,21420]) ).

cnf(21423,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,21421]) ).

cnf(21424,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21422]) ).

cnf(21425,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21423]) ).

cnf(21426,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21424]) ).

cnf(21427,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21425]) ).

cnf(21428,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21426]) ).

cnf(21429,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21427]) ).

cnf(21430,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21428]) ).

cnf(21431,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21429]) ).

cnf(21432,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21430]) ).

cnf(21433,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21431]) ).

cnf(21434,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21432]) ).

cnf(21435,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21433]) ).

cnf(21436,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21434]) ).

cnf(21437,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21435]) ).

cnf(21438,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,21436]) ).

cnf(21439,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,21437]) ).

cnf(21440,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21438]) ).

cnf(21441,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21439]) ).

cnf(21442,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21440]) ).

cnf(21443,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21441]) ).

cnf(21444,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21442]) ).

cnf(21445,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21443]) ).

cnf(21446,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21444]) ).

cnf(21447,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21445]) ).

cnf(21448,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21446]) ).

cnf(21449,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21447]) ).

cnf(21450,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21448]) ).

cnf(21451,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21449]) ).

cnf(21452,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21450]) ).

cnf(21453,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21451]) ).

cnf(21454,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,21452]) ).

cnf(21455,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,21453]) ).

cnf(21456,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21454]) ).

cnf(21457,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21455]) ).

cnf(21458,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21456]) ).

cnf(21459,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21457]) ).

cnf(21460,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21458]) ).

cnf(21461,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21459]) ).

cnf(21462,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21460]) ).

cnf(21463,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21461]) ).

cnf(21464,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21462]) ).

cnf(21465,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21463]) ).

cnf(21466,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21464]) ).

cnf(21467,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21465]) ).

cnf(21468,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21466]) ).

cnf(21469,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21467]) ).

cnf(21470,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,21468]) ).

cnf(21471,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,21469]) ).

cnf(21472,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21470]) ).

cnf(21473,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21471]) ).

cnf(21474,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21472]) ).

cnf(21475,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21473]) ).

cnf(21476,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21474]) ).

cnf(21477,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21475]) ).

cnf(21478,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21476]) ).

cnf(21479,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21477]) ).

cnf(21480,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21478]) ).

cnf(21481,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21479]) ).

cnf(21482,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21480]) ).

cnf(21483,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21481]) ).

cnf(21484,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21482]) ).

cnf(21485,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21483]) ).

cnf(21486,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,21484]) ).

cnf(21487,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,21485]) ).

cnf(21488,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21486]) ).

cnf(21489,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21487]) ).

cnf(21490,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21488]) ).

cnf(21491,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21489]) ).

cnf(21492,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21490]) ).

cnf(21493,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21491]) ).

cnf(21494,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21492]) ).

cnf(21495,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21493]) ).

cnf(21496,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21494]) ).

cnf(21497,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21495]) ).

cnf(21498,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21496]) ).

cnf(21499,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21497]) ).

cnf(21500,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21498]) ).

cnf(21501,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21499]) ).

cnf(21502,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,21500]) ).

cnf(21503,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,21501]) ).

cnf(21504,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21502]) ).

cnf(21505,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21503]) ).

cnf(21506,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21504]) ).

cnf(21507,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21505]) ).

cnf(21508,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21506]) ).

cnf(21509,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21507]) ).

cnf(21510,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21508]) ).

cnf(21511,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21509]) ).

cnf(21512,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21510]) ).

cnf(21513,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21511]) ).

cnf(21514,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21512]) ).

cnf(21515,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21513]) ).

cnf(21516,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21514]) ).

cnf(21517,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21515]) ).

cnf(21518,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,21516]) ).

cnf(21519,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,21517]) ).

cnf(21520,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21518]) ).

cnf(21521,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21519]) ).

cnf(21522,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21520]) ).

cnf(21523,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21521]) ).

cnf(21524,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21522]) ).

cnf(21525,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21523]) ).

cnf(21526,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21524]) ).

cnf(21527,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21525]) ).

cnf(21528,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21526]) ).

cnf(21529,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21527]) ).

cnf(21530,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21528]) ).

cnf(21531,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21529]) ).

cnf(21532,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21530]) ).

cnf(21533,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21531]) ).

cnf(21534,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[12,21532]) ).

cnf(21535,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[12,21533]) ).

cnf(21536,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21534]) ).

cnf(21537,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21535]) ).

cnf(21538,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21536]) ).

cnf(21539,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21537]) ).

cnf(21540,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21538]) ).

cnf(21541,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21539]) ).

cnf(21542,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21540]) ).

cnf(21543,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21541]) ).

cnf(21544,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21542]) ).

cnf(21545,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21543]) ).

cnf(21546,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21544]) ).

cnf(21547,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21545]) ).

cnf(21548,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21546]) ).

cnf(21549,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21547]) ).

cnf(21550,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,21548]) ).

cnf(21551,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,21549]) ).

cnf(21552,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21550]) ).

cnf(21553,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21551]) ).

cnf(21554,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21552]) ).

cnf(21555,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21553]) ).

cnf(21556,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21554]) ).

cnf(21557,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21555]) ).

cnf(21558,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21556]) ).

cnf(21559,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21557]) ).

cnf(21560,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21558]) ).

cnf(21561,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21559]) ).

cnf(21562,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21560]) ).

cnf(21563,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21561]) ).

cnf(21564,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21562]) ).

cnf(21565,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21563]) ).

cnf(21566,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,21564]) ).

cnf(21567,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,21565]) ).

cnf(21568,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21566]) ).

cnf(21569,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21567]) ).

cnf(21570,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21568]) ).

cnf(21571,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21569]) ).

cnf(21572,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21570]) ).

cnf(21573,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21571]) ).

cnf(21574,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21572]) ).

cnf(21575,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21573]) ).

cnf(21576,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21574]) ).

cnf(21577,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21575]) ).

cnf(21578,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21576]) ).

cnf(21579,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21577]) ).

cnf(21580,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21578]) ).

cnf(21581,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21579]) ).

cnf(21582,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,21580]) ).

cnf(21583,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,21581]) ).

cnf(21584,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21582]) ).

cnf(21585,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21583]) ).

cnf(21586,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21584]) ).

cnf(21587,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21585]) ).

cnf(21588,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21586]) ).

cnf(21589,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21587]) ).

cnf(21590,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21588]) ).

cnf(21591,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21589]) ).

cnf(21592,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21590]) ).

cnf(21593,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21591]) ).

cnf(21594,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21592]) ).

cnf(21595,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21593]) ).

cnf(21596,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21594]) ).

cnf(21597,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21595]) ).

cnf(21598,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,21596]) ).

cnf(21599,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,21597]) ).

cnf(21600,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21598]) ).

cnf(21601,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21599]) ).

cnf(21602,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21600]) ).

cnf(21603,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21601]) ).

cnf(21604,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21602]) ).

cnf(21605,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21603]) ).

cnf(21606,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21604]) ).

cnf(21607,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21605]) ).

cnf(21608,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21606]) ).

cnf(21609,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21607]) ).

cnf(21610,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21608]) ).

cnf(21611,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21609]) ).

cnf(21612,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21610]) ).

cnf(21613,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21611]) ).

cnf(21614,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,21612]) ).

cnf(21615,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,21613]) ).

cnf(21616,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21614]) ).

cnf(21617,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21615]) ).

cnf(21618,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21616]) ).

cnf(21619,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21617]) ).

cnf(21620,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21618]) ).

cnf(21621,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21619]) ).

cnf(21622,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21620]) ).

cnf(21623,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21621]) ).

cnf(21624,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21622]) ).

cnf(21625,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21623]) ).

cnf(21626,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21624]) ).

cnf(21627,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21625]) ).

cnf(21628,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21626]) ).

cnf(21629,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21627]) ).

cnf(21630,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,21628]) ).

cnf(21631,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,21629]) ).

cnf(21632,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21630]) ).

cnf(21633,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21631]) ).

cnf(21634,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21632]) ).

cnf(21635,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21633]) ).

cnf(21636,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21634]) ).

cnf(21637,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21635]) ).

cnf(21638,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21636]) ).

cnf(21639,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21637]) ).

cnf(21640,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21638]) ).

cnf(21641,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21639]) ).

cnf(21642,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21640]) ).

cnf(21643,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21641]) ).

cnf(21644,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21642]) ).

cnf(21645,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21643]) ).

cnf(21646,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,21644]) ).

cnf(21647,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,21645]) ).

cnf(21648,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21646]) ).

cnf(21649,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21647]) ).

cnf(21650,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21648]) ).

cnf(21651,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21649]) ).

cnf(21652,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21650]) ).

cnf(21653,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21651]) ).

cnf(21654,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21652]) ).

cnf(21655,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21653]) ).

cnf(21656,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21654]) ).

cnf(21657,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21655]) ).

cnf(21658,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21656]) ).

cnf(21659,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21657]) ).

cnf(21660,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21658]) ).

cnf(21661,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21659]) ).

cnf(21662,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,21660]) ).

cnf(21663,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,21661]) ).

cnf(21664,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21662]) ).

cnf(21665,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21663]) ).

cnf(21666,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21664]) ).

cnf(21667,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21665]) ).

cnf(21668,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21666]) ).

cnf(21669,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21667]) ).

cnf(21670,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21668]) ).

cnf(21671,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21669]) ).

cnf(21672,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21670]) ).

cnf(21673,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21671]) ).

cnf(21674,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21672]) ).

cnf(21675,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21673]) ).

cnf(21676,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21674]) ).

cnf(21677,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21675]) ).

cnf(21678,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,21676]) ).

cnf(21679,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,21677]) ).

cnf(21680,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21678]) ).

cnf(21681,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21679]) ).

cnf(21682,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21680]) ).

cnf(21683,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21681]) ).

cnf(21684,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21682]) ).

cnf(21685,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21683]) ).

cnf(21686,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21684]) ).

cnf(21687,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21685]) ).

cnf(21688,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21686]) ).

cnf(21689,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21687]) ).

cnf(21690,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21688]) ).

cnf(21691,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21689]) ).

cnf(21692,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21690]) ).

cnf(21693,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21691]) ).

cnf(21694,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,21692]) ).

cnf(21695,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,21693]) ).

cnf(21696,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21694]) ).

cnf(21697,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21695]) ).

cnf(21698,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21696]) ).

cnf(21699,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21697]) ).

cnf(21700,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21698]) ).

cnf(21701,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21699]) ).

cnf(21702,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21700]) ).

cnf(21703,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21701]) ).

cnf(21704,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21702]) ).

cnf(21705,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21703]) ).

cnf(21706,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21704]) ).

cnf(21707,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21705]) ).

cnf(21708,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21706]) ).

cnf(21709,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21707]) ).

cnf(21710,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,21708]) ).

cnf(21711,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,21709]) ).

cnf(21712,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21710]) ).

cnf(21713,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21711]) ).

cnf(21714,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21712]) ).

cnf(21715,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21713]) ).

cnf(21716,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21714]) ).

cnf(21717,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21715]) ).

cnf(21718,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21716]) ).

cnf(21719,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21717]) ).

cnf(21720,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21718]) ).

cnf(21721,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21719]) ).

cnf(21722,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21720]) ).

cnf(21723,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21721]) ).

cnf(21724,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21722]) ).

cnf(21725,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21723]) ).

cnf(21726,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,21724]) ).

cnf(21727,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,21725]) ).

cnf(21728,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21726]) ).

cnf(21729,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21727]) ).

cnf(21730,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21728]) ).

cnf(21731,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21729]) ).

cnf(21732,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21730]) ).

cnf(21733,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21731]) ).

cnf(21734,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21732]) ).

cnf(21735,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21733]) ).

cnf(21736,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21734]) ).

cnf(21737,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21735]) ).

cnf(21738,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21736]) ).

cnf(21739,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21737]) ).

cnf(21740,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21738]) ).

cnf(21741,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21739]) ).

cnf(21742,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,21740]) ).

cnf(21743,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,21741]) ).

cnf(21744,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21742]) ).

cnf(21745,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21743]) ).

cnf(21746,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21744]) ).

cnf(21747,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21745]) ).

cnf(21748,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21746]) ).

cnf(21749,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21747]) ).

cnf(21750,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21748]) ).

cnf(21751,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21749]) ).

cnf(21752,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21750]) ).

cnf(21753,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21751]) ).

cnf(21754,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21752]) ).

cnf(21755,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21753]) ).

cnf(21756,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21754]) ).

cnf(21757,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21755]) ).

cnf(21758,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,21756]) ).

cnf(21759,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,21757]) ).

cnf(21760,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21758]) ).

cnf(21761,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21759]) ).

cnf(21762,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21760]) ).

cnf(21763,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21761]) ).

cnf(21764,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21762]) ).

cnf(21765,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21763]) ).

cnf(21766,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21764]) ).

cnf(21767,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21765]) ).

cnf(21768,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21766]) ).

cnf(21769,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21767]) ).

cnf(21770,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21768]) ).

cnf(21771,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21769]) ).

cnf(21772,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21770]) ).

cnf(21773,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21771]) ).

cnf(21774,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,21772]) ).

cnf(21775,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,21773]) ).

cnf(21776,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21774]) ).

cnf(21777,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21775]) ).

cnf(21778,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21776]) ).

cnf(21779,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21777]) ).

cnf(21780,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21778]) ).

cnf(21781,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21779]) ).

cnf(21782,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21780]) ).

cnf(21783,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21781]) ).

cnf(21784,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21782]) ).

cnf(21785,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21783]) ).

cnf(21786,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21784]) ).

cnf(21787,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21785]) ).

cnf(21788,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21786]) ).

cnf(21789,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21787]) ).

cnf(21790,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,21788]) ).

cnf(21791,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,21789]) ).

cnf(21792,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21790]) ).

cnf(21793,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21791]) ).

cnf(21794,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21792]) ).

cnf(21795,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21793]) ).

cnf(21796,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21794]) ).

cnf(21797,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21795]) ).

cnf(21798,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21796]) ).

cnf(21799,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21797]) ).

cnf(21800,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21798]) ).

cnf(21801,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21799]) ).

cnf(21802,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21800]) ).

cnf(21803,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21801]) ).

cnf(21804,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21802]) ).

cnf(21805,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21803]) ).

cnf(21806,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,21804]) ).

cnf(21807,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,21805]) ).

cnf(21808,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21806]) ).

cnf(21809,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21807]) ).

cnf(21810,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21808]) ).

cnf(21811,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21809]) ).

cnf(21812,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21810]) ).

cnf(21813,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21811]) ).

cnf(21814,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21812]) ).

cnf(21815,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21813]) ).

cnf(21816,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21814]) ).

cnf(21817,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21815]) ).

cnf(21818,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21816]) ).

cnf(21819,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21817]) ).

cnf(21820,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21818]) ).

cnf(21821,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21819]) ).

cnf(21822,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,21820]) ).

cnf(21823,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,21821]) ).

cnf(21824,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21822]) ).

cnf(21825,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21823]) ).

cnf(21826,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21824]) ).

cnf(21827,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21825]) ).

cnf(21828,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21826]) ).

cnf(21829,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21827]) ).

cnf(21830,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21828]) ).

cnf(21831,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21829]) ).

cnf(21832,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21830]) ).

cnf(21833,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21831]) ).

cnf(21834,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21832]) ).

cnf(21835,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21833]) ).

cnf(21836,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21834]) ).

cnf(21837,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21835]) ).

cnf(21838,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,21836]) ).

cnf(21839,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,21837]) ).

cnf(21840,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21838]) ).

cnf(21841,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21839]) ).

cnf(21842,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21840]) ).

cnf(21843,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21841]) ).

cnf(21844,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21842]) ).

cnf(21845,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21843]) ).

cnf(21846,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21844]) ).

cnf(21847,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21845]) ).

cnf(21848,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21846]) ).

cnf(21849,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21847]) ).

cnf(21850,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21848]) ).

cnf(21851,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21849]) ).

cnf(21852,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21850]) ).

cnf(21853,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21851]) ).

cnf(21854,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,21852]) ).

cnf(21855,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,21853]) ).

cnf(21856,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21854]) ).

cnf(21857,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21855]) ).

cnf(21858,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21856]) ).

cnf(21859,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21857]) ).

cnf(21860,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21858]) ).

cnf(21861,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21859]) ).

cnf(21862,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21860]) ).

cnf(21863,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21861]) ).

cnf(21864,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21862]) ).

cnf(21865,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21863]) ).

cnf(21866,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21864]) ).

cnf(21867,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21865]) ).

cnf(21868,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21866]) ).

cnf(21869,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21867]) ).

cnf(21870,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,21868]) ).

cnf(21871,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,21869]) ).

cnf(21872,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21870]) ).

cnf(21873,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21871]) ).

cnf(21874,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21872]) ).

cnf(21875,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21873]) ).

cnf(21876,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21874]) ).

cnf(21877,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21875]) ).

cnf(21878,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21876]) ).

cnf(21879,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21877]) ).

cnf(21880,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21878]) ).

cnf(21881,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21879]) ).

cnf(21882,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21880]) ).

cnf(21883,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21881]) ).

cnf(21884,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21882]) ).

cnf(21885,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21883]) ).

cnf(21886,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,21884]) ).

cnf(21887,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,21885]) ).

cnf(21888,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21886]) ).

cnf(21889,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21887]) ).

cnf(21890,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21888]) ).

cnf(21891,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21889]) ).

cnf(21892,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21890]) ).

cnf(21893,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21891]) ).

cnf(21894,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21892]) ).

cnf(21895,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21893]) ).

cnf(21896,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21894]) ).

cnf(21897,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21895]) ).

cnf(21898,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21896]) ).

cnf(21899,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21897]) ).

cnf(21900,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21898]) ).

cnf(21901,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21899]) ).

cnf(21902,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,21900]) ).

cnf(21903,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,21901]) ).

cnf(21904,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21902]) ).

cnf(21905,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21903]) ).

cnf(21906,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21904]) ).

cnf(21907,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21905]) ).

cnf(21908,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21906]) ).

cnf(21909,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21907]) ).

cnf(21910,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21908]) ).

cnf(21911,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21909]) ).

cnf(21912,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21910]) ).

cnf(21913,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21911]) ).

cnf(21914,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21912]) ).

cnf(21915,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21913]) ).

cnf(21916,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21914]) ).

cnf(21917,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21915]) ).

cnf(21918,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,21916]) ).

cnf(21919,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,21917]) ).

cnf(21920,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21918]) ).

cnf(21921,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21919]) ).

cnf(21922,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21920]) ).

cnf(21923,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21921]) ).

cnf(21924,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21922]) ).

cnf(21925,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21923]) ).

cnf(21926,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21924]) ).

cnf(21927,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21925]) ).

cnf(21928,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21926]) ).

cnf(21929,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21927]) ).

cnf(21930,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21928]) ).

cnf(21931,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21929]) ).

cnf(21932,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21930]) ).

cnf(21933,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21931]) ).

cnf(21934,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,21932]) ).

cnf(21935,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,21933]) ).

cnf(21936,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21934]) ).

cnf(21937,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21935]) ).

cnf(21938,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21936]) ).

cnf(21939,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21937]) ).

cnf(21940,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21938]) ).

cnf(21941,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21939]) ).

cnf(21942,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21940]) ).

cnf(21943,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21941]) ).

cnf(21944,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21942]) ).

cnf(21945,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21943]) ).

cnf(21946,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21944]) ).

cnf(21947,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21945]) ).

cnf(21948,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21946]) ).

cnf(21949,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21947]) ).

cnf(21950,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,21948]) ).

cnf(21951,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,21949]) ).

cnf(21952,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21950]) ).

cnf(21953,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21951]) ).

cnf(21954,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21952]) ).

cnf(21955,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21953]) ).

cnf(21956,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21954]) ).

cnf(21957,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21955]) ).

cnf(21958,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21956]) ).

cnf(21959,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21957]) ).

cnf(21960,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21958]) ).

cnf(21961,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21959]) ).

cnf(21962,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21960]) ).

cnf(21963,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21961]) ).

cnf(21964,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21962]) ).

cnf(21965,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21963]) ).

cnf(21966,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,21964]) ).

cnf(21967,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,21965]) ).

cnf(21968,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21966]) ).

cnf(21969,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21967]) ).

cnf(21970,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21968]) ).

cnf(21971,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21969]) ).

cnf(21972,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21970]) ).

cnf(21973,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21971]) ).

cnf(21974,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21972]) ).

cnf(21975,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21973]) ).

cnf(21976,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21974]) ).

cnf(21977,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21975]) ).

cnf(21978,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21976]) ).

cnf(21979,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21977]) ).

cnf(21980,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21978]) ).

cnf(21981,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21979]) ).

cnf(21982,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,21980]) ).

cnf(21983,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,21981]) ).

cnf(21984,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21982]) ).

cnf(21985,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21983]) ).

cnf(21986,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21984]) ).

cnf(21987,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21985]) ).

cnf(21988,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21986]) ).

cnf(21989,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21987]) ).

cnf(21990,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,21988]) ).

cnf(21991,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,21989]) ).

cnf(21992,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21990]) ).

cnf(21993,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21991]) ).

cnf(21994,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,21992]) ).

cnf(21995,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,21993]) ).

cnf(21996,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21994]) ).

cnf(21997,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21995]) ).

cnf(21998,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,21996]) ).

cnf(21999,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,21997]) ).

cnf(22000,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,21998]) ).

cnf(22001,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,21999]) ).

cnf(22002,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22000]) ).

cnf(22003,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22001]) ).

cnf(22004,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22002]) ).

cnf(22005,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22003]) ).

cnf(22006,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22004]) ).

cnf(22007,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22005]) ).

cnf(22008,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22006]) ).

cnf(22009,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22007]) ).

cnf(22010,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22008]) ).

cnf(22011,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22009]) ).

cnf(22012,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22010]) ).

cnf(22013,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22011]) ).

cnf(22014,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,22012]) ).

cnf(22015,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,22013]) ).

cnf(22016,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22014]) ).

cnf(22017,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22015]) ).

cnf(22018,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22016]) ).

cnf(22019,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22017]) ).

cnf(22020,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22018]) ).

cnf(22021,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22019]) ).

cnf(22022,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22020]) ).

cnf(22023,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22021]) ).

cnf(22024,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22022]) ).

cnf(22025,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22023]) ).

cnf(22026,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22024]) ).

cnf(22027,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22025]) ).

cnf(22028,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22026]) ).

cnf(22029,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22027]) ).

cnf(22030,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,22028]) ).

cnf(22031,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,22029]) ).

cnf(22032,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22030]) ).

cnf(22033,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22031]) ).

cnf(22034,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22032]) ).

cnf(22035,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22033]) ).

cnf(22036,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22034]) ).

cnf(22037,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22035]) ).

cnf(22038,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22036]) ).

cnf(22039,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22037]) ).

cnf(22040,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22038]) ).

cnf(22041,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22039]) ).

cnf(22042,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22040]) ).

cnf(22043,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22041]) ).

cnf(22044,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22042]) ).

cnf(22045,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22043]) ).

cnf(22046,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[11,22044]) ).

cnf(22047,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[11,22045]) ).

cnf(22048,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22046]) ).

cnf(22049,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22047]) ).

cnf(22050,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22048]) ).

cnf(22051,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22049]) ).

cnf(22052,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22050]) ).

cnf(22053,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22051]) ).

cnf(22054,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22052]) ).

cnf(22055,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22053]) ).

cnf(22056,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22054]) ).

cnf(22057,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22055]) ).

cnf(22058,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22056]) ).

cnf(22059,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22057]) ).

cnf(22060,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22058]) ).

cnf(22061,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22059]) ).

cnf(22062,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,22060]) ).

cnf(22063,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,22061]) ).

cnf(22064,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22062]) ).

cnf(22065,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22063]) ).

cnf(22066,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22064]) ).

cnf(22067,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22065]) ).

cnf(22068,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22066]) ).

cnf(22069,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22067]) ).

cnf(22070,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22068]) ).

cnf(22071,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22069]) ).

cnf(22072,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22070]) ).

cnf(22073,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22071]) ).

cnf(22074,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22072]) ).

cnf(22075,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22073]) ).

cnf(22076,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22074]) ).

cnf(22077,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22075]) ).

cnf(22078,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,22076]) ).

cnf(22079,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,22077]) ).

cnf(22080,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22078]) ).

cnf(22081,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22079]) ).

cnf(22082,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22080]) ).

cnf(22083,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22081]) ).

cnf(22084,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22082]) ).

cnf(22085,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22083]) ).

cnf(22086,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22084]) ).

cnf(22087,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22085]) ).

cnf(22088,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22086]) ).

cnf(22089,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22087]) ).

cnf(22090,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22088]) ).

cnf(22091,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22089]) ).

cnf(22092,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22090]) ).

cnf(22093,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22091]) ).

cnf(22094,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,22092]) ).

cnf(22095,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,22093]) ).

cnf(22096,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22094]) ).

cnf(22097,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22095]) ).

cnf(22098,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22096]) ).

cnf(22099,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22097]) ).

cnf(22100,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22098]) ).

cnf(22101,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22099]) ).

cnf(22102,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22100]) ).

cnf(22103,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22101]) ).

cnf(22104,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22102]) ).

cnf(22105,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22103]) ).

cnf(22106,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22104]) ).

cnf(22107,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22105]) ).

cnf(22108,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22106]) ).

cnf(22109,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22107]) ).

cnf(22110,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,22108]) ).

cnf(22111,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,22109]) ).

cnf(22112,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22110]) ).

cnf(22113,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22111]) ).

cnf(22114,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22112]) ).

cnf(22115,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22113]) ).

cnf(22116,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22114]) ).

cnf(22117,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22115]) ).

cnf(22118,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22116]) ).

cnf(22119,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22117]) ).

cnf(22120,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22118]) ).

cnf(22121,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22119]) ).

cnf(22122,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22120]) ).

cnf(22123,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22121]) ).

cnf(22124,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22122]) ).

cnf(22125,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22123]) ).

cnf(22126,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,22124]) ).

cnf(22127,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,22125]) ).

cnf(22128,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22126]) ).

cnf(22129,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22127]) ).

cnf(22130,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22128]) ).

cnf(22131,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22129]) ).

cnf(22132,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22130]) ).

cnf(22133,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22131]) ).

cnf(22134,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22132]) ).

cnf(22135,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22133]) ).

cnf(22136,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22134]) ).

cnf(22137,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22135]) ).

cnf(22138,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22136]) ).

cnf(22139,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22137]) ).

cnf(22140,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22138]) ).

cnf(22141,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22139]) ).

cnf(22142,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,22140]) ).

cnf(22143,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,22141]) ).

cnf(22144,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22142]) ).

cnf(22145,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22143]) ).

cnf(22146,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22144]) ).

cnf(22147,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22145]) ).

cnf(22148,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22146]) ).

cnf(22149,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22147]) ).

cnf(22150,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22148]) ).

cnf(22151,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22149]) ).

cnf(22152,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22150]) ).

cnf(22153,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22151]) ).

cnf(22154,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22152]) ).

cnf(22155,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22153]) ).

cnf(22156,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22154]) ).

cnf(22157,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22155]) ).

cnf(22158,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,22156]) ).

cnf(22159,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,22157]) ).

cnf(22160,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22158]) ).

cnf(22161,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22159]) ).

cnf(22162,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22160]) ).

cnf(22163,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22161]) ).

cnf(22164,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22162]) ).

cnf(22165,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22163]) ).

cnf(22166,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22164]) ).

cnf(22167,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22165]) ).

cnf(22168,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22166]) ).

cnf(22169,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22167]) ).

cnf(22170,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22168]) ).

cnf(22171,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22169]) ).

cnf(22172,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22170]) ).

cnf(22173,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22171]) ).

cnf(22174,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,22172]) ).

cnf(22175,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,22173]) ).

cnf(22176,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22174]) ).

cnf(22177,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22175]) ).

cnf(22178,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22176]) ).

cnf(22179,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22177]) ).

cnf(22180,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22178]) ).

cnf(22181,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22179]) ).

cnf(22182,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22180]) ).

cnf(22183,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22181]) ).

cnf(22184,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22182]) ).

cnf(22185,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22183]) ).

cnf(22186,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22184]) ).

cnf(22187,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22185]) ).

cnf(22188,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22186]) ).

cnf(22189,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22187]) ).

cnf(22190,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,22188]) ).

cnf(22191,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,22189]) ).

cnf(22192,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22190]) ).

cnf(22193,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22191]) ).

cnf(22194,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22192]) ).

cnf(22195,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22193]) ).

cnf(22196,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22194]) ).

cnf(22197,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22195]) ).

cnf(22198,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22196]) ).

cnf(22199,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22197]) ).

cnf(22200,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22198]) ).

cnf(22201,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22199]) ).

cnf(22202,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22200]) ).

cnf(22203,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22201]) ).

cnf(22204,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22202]) ).

cnf(22205,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22203]) ).

cnf(22206,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,22204]) ).

cnf(22207,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,22205]) ).

cnf(22208,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22206]) ).

cnf(22209,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22207]) ).

cnf(22210,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22208]) ).

cnf(22211,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22209]) ).

cnf(22212,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22210]) ).

cnf(22213,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22211]) ).

cnf(22214,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22212]) ).

cnf(22215,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22213]) ).

cnf(22216,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22214]) ).

cnf(22217,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22215]) ).

cnf(22218,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22216]) ).

cnf(22219,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22217]) ).

cnf(22220,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22218]) ).

cnf(22221,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22219]) ).

cnf(22222,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,22220]) ).

cnf(22223,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,22221]) ).

cnf(22224,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22222]) ).

cnf(22225,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22223]) ).

cnf(22226,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22224]) ).

cnf(22227,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22225]) ).

cnf(22228,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22226]) ).

cnf(22229,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22227]) ).

cnf(22230,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22228]) ).

cnf(22231,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22229]) ).

cnf(22232,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22230]) ).

cnf(22233,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22231]) ).

cnf(22234,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22232]) ).

cnf(22235,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22233]) ).

cnf(22236,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22234]) ).

cnf(22237,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22235]) ).

cnf(22238,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,22236]) ).

cnf(22239,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,22237]) ).

cnf(22240,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22238]) ).

cnf(22241,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22239]) ).

cnf(22242,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22240]) ).

cnf(22243,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22241]) ).

cnf(22244,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22242]) ).

cnf(22245,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22243]) ).

cnf(22246,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22244]) ).

cnf(22247,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22245]) ).

cnf(22248,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22246]) ).

cnf(22249,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22247]) ).

cnf(22250,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22248]) ).

cnf(22251,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22249]) ).

cnf(22252,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22250]) ).

cnf(22253,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22251]) ).

cnf(22254,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,22252]) ).

cnf(22255,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,22253]) ).

cnf(22256,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22254]) ).

cnf(22257,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22255]) ).

cnf(22258,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22256]) ).

cnf(22259,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22257]) ).

cnf(22260,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22258]) ).

cnf(22261,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22259]) ).

cnf(22262,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22260]) ).

cnf(22263,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22261]) ).

cnf(22264,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22262]) ).

cnf(22265,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22263]) ).

cnf(22266,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22264]) ).

cnf(22267,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22265]) ).

cnf(22268,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22266]) ).

cnf(22269,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22267]) ).

cnf(22270,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,22268]) ).

cnf(22271,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,22269]) ).

cnf(22272,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22270]) ).

cnf(22273,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22271]) ).

cnf(22274,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22272]) ).

cnf(22275,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22273]) ).

cnf(22276,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22274]) ).

cnf(22277,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22275]) ).

cnf(22278,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22276]) ).

cnf(22279,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22277]) ).

cnf(22280,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22278]) ).

cnf(22281,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22279]) ).

cnf(22282,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22280]) ).

cnf(22283,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22281]) ).

cnf(22284,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22282]) ).

cnf(22285,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22283]) ).

cnf(22286,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,22284]) ).

cnf(22287,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,22285]) ).

cnf(22288,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22286]) ).

cnf(22289,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22287]) ).

cnf(22290,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22288]) ).

cnf(22291,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22289]) ).

cnf(22292,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22290]) ).

cnf(22293,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22291]) ).

cnf(22294,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22292]) ).

cnf(22295,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22293]) ).

cnf(22296,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22294]) ).

cnf(22297,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22295]) ).

cnf(22298,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22296]) ).

cnf(22299,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22297]) ).

cnf(22300,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22298]) ).

cnf(22301,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22299]) ).

cnf(22302,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,22300]) ).

cnf(22303,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,22301]) ).

cnf(22304,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22302]) ).

cnf(22305,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22303]) ).

cnf(22306,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22304]) ).

cnf(22307,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22305]) ).

cnf(22308,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22306]) ).

cnf(22309,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22307]) ).

cnf(22310,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22308]) ).

cnf(22311,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22309]) ).

cnf(22312,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22310]) ).

cnf(22313,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22311]) ).

cnf(22314,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22312]) ).

cnf(22315,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22313]) ).

cnf(22316,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22314]) ).

cnf(22317,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22315]) ).

cnf(22318,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,22316]) ).

cnf(22319,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,22317]) ).

cnf(22320,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22318]) ).

cnf(22321,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22319]) ).

cnf(22322,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22320]) ).

cnf(22323,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22321]) ).

cnf(22324,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22322]) ).

cnf(22325,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22323]) ).

cnf(22326,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22324]) ).

cnf(22327,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22325]) ).

cnf(22328,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22326]) ).

cnf(22329,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22327]) ).

cnf(22330,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22328]) ).

cnf(22331,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22329]) ).

cnf(22332,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22330]) ).

cnf(22333,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22331]) ).

cnf(22334,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,22332]) ).

cnf(22335,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,22333]) ).

cnf(22336,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22334]) ).

cnf(22337,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22335]) ).

cnf(22338,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22336]) ).

cnf(22339,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22337]) ).

cnf(22340,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22338]) ).

cnf(22341,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22339]) ).

cnf(22342,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22340]) ).

cnf(22343,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22341]) ).

cnf(22344,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22342]) ).

cnf(22345,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22343]) ).

cnf(22346,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22344]) ).

cnf(22347,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22345]) ).

cnf(22348,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22346]) ).

cnf(22349,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22347]) ).

cnf(22350,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,22348]) ).

cnf(22351,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,22349]) ).

cnf(22352,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22350]) ).

cnf(22353,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22351]) ).

cnf(22354,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22352]) ).

cnf(22355,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22353]) ).

cnf(22356,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22354]) ).

cnf(22357,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22355]) ).

cnf(22358,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22356]) ).

cnf(22359,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22357]) ).

cnf(22360,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22358]) ).

cnf(22361,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22359]) ).

cnf(22362,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22360]) ).

cnf(22363,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22361]) ).

cnf(22364,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22362]) ).

cnf(22365,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22363]) ).

cnf(22366,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,22364]) ).

cnf(22367,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,22365]) ).

cnf(22368,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22366]) ).

cnf(22369,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22367]) ).

cnf(22370,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22368]) ).

cnf(22371,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22369]) ).

cnf(22372,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22370]) ).

cnf(22373,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22371]) ).

cnf(22374,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22372]) ).

cnf(22375,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22373]) ).

cnf(22376,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22374]) ).

cnf(22377,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22375]) ).

cnf(22378,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22376]) ).

cnf(22379,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22377]) ).

cnf(22380,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22378]) ).

cnf(22381,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22379]) ).

cnf(22382,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,22380]) ).

cnf(22383,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,22381]) ).

cnf(22384,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22382]) ).

cnf(22385,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22383]) ).

cnf(22386,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22384]) ).

cnf(22387,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22385]) ).

cnf(22388,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22386]) ).

cnf(22389,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22387]) ).

cnf(22390,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22388]) ).

cnf(22391,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22389]) ).

cnf(22392,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22390]) ).

cnf(22393,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22391]) ).

cnf(22394,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22392]) ).

cnf(22395,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22393]) ).

cnf(22396,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22394]) ).

cnf(22397,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22395]) ).

cnf(22398,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,22396]) ).

cnf(22399,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,22397]) ).

cnf(22400,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22398]) ).

cnf(22401,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22399]) ).

cnf(22402,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22400]) ).

cnf(22403,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22401]) ).

cnf(22404,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22402]) ).

cnf(22405,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22403]) ).

cnf(22406,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22404]) ).

cnf(22407,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22405]) ).

cnf(22408,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22406]) ).

cnf(22409,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22407]) ).

cnf(22410,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22408]) ).

cnf(22411,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22409]) ).

cnf(22412,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22410]) ).

cnf(22413,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22411]) ).

cnf(22414,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,22412]) ).

cnf(22415,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,22413]) ).

cnf(22416,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22414]) ).

cnf(22417,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22415]) ).

cnf(22418,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22416]) ).

cnf(22419,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22417]) ).

cnf(22420,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22418]) ).

cnf(22421,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22419]) ).

cnf(22422,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22420]) ).

cnf(22423,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22421]) ).

cnf(22424,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22422]) ).

cnf(22425,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22423]) ).

cnf(22426,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22424]) ).

cnf(22427,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22425]) ).

cnf(22428,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22426]) ).

cnf(22429,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22427]) ).

cnf(22430,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,22428]) ).

cnf(22431,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,22429]) ).

cnf(22432,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22430]) ).

cnf(22433,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22431]) ).

cnf(22434,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22432]) ).

cnf(22435,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22433]) ).

cnf(22436,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22434]) ).

cnf(22437,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22435]) ).

cnf(22438,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22436]) ).

cnf(22439,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22437]) ).

cnf(22440,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22438]) ).

cnf(22441,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22439]) ).

cnf(22442,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22440]) ).

cnf(22443,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22441]) ).

cnf(22444,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22442]) ).

cnf(22445,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22443]) ).

cnf(22446,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,22444]) ).

cnf(22447,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,22445]) ).

cnf(22448,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22446]) ).

cnf(22449,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22447]) ).

cnf(22450,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22448]) ).

cnf(22451,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22449]) ).

cnf(22452,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22450]) ).

cnf(22453,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22451]) ).

cnf(22454,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22452]) ).

cnf(22455,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22453]) ).

cnf(22456,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22454]) ).

cnf(22457,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22455]) ).

cnf(22458,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22456]) ).

cnf(22459,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22457]) ).

cnf(22460,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22458]) ).

cnf(22461,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22459]) ).

cnf(22462,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,22460]) ).

cnf(22463,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,22461]) ).

cnf(22464,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22462]) ).

cnf(22465,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22463]) ).

cnf(22466,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22464]) ).

cnf(22467,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22465]) ).

cnf(22468,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22466]) ).

cnf(22469,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22467]) ).

cnf(22470,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22468]) ).

cnf(22471,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22469]) ).

cnf(22472,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22470]) ).

cnf(22473,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22471]) ).

cnf(22474,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22472]) ).

cnf(22475,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22473]) ).

cnf(22476,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22474]) ).

cnf(22477,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22475]) ).

cnf(22478,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,22476]) ).

cnf(22479,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,22477]) ).

cnf(22480,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22478]) ).

cnf(22481,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22479]) ).

cnf(22482,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22480]) ).

cnf(22483,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22481]) ).

cnf(22484,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22482]) ).

cnf(22485,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22483]) ).

cnf(22486,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22484]) ).

cnf(22487,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22485]) ).

cnf(22488,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22486]) ).

cnf(22489,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22487]) ).

cnf(22490,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22488]) ).

cnf(22491,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22489]) ).

cnf(22492,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22490]) ).

cnf(22493,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22491]) ).

cnf(22494,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,22492]) ).

cnf(22495,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,22493]) ).

cnf(22496,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22494]) ).

cnf(22497,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22495]) ).

cnf(22498,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22496]) ).

cnf(22499,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22497]) ).

cnf(22500,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22498]) ).

cnf(22501,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22499]) ).

cnf(22502,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22500]) ).

cnf(22503,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22501]) ).

cnf(22504,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22502]) ).

cnf(22505,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22503]) ).

cnf(22506,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22504]) ).

cnf(22507,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22505]) ).

cnf(22508,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22506]) ).

cnf(22509,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22507]) ).

cnf(22510,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,22508]) ).

cnf(22511,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,22509]) ).

cnf(22512,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22510]) ).

cnf(22513,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22511]) ).

cnf(22514,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22512]) ).

cnf(22515,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22513]) ).

cnf(22516,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22514]) ).

cnf(22517,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22515]) ).

cnf(22518,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22516]) ).

cnf(22519,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22517]) ).

cnf(22520,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22518]) ).

cnf(22521,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22519]) ).

cnf(22522,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22520]) ).

cnf(22523,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22521]) ).

cnf(22524,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22522]) ).

cnf(22525,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22523]) ).

cnf(22526,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,22524]) ).

cnf(22527,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,22525]) ).

cnf(22528,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22526]) ).

cnf(22529,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22527]) ).

cnf(22530,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22528]) ).

cnf(22531,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22529]) ).

cnf(22532,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22530]) ).

cnf(22533,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22531]) ).

cnf(22534,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22532]) ).

cnf(22535,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22533]) ).

cnf(22536,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22534]) ).

cnf(22537,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22535]) ).

cnf(22538,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22536]) ).

cnf(22539,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22537]) ).

cnf(22540,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22538]) ).

cnf(22541,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22539]) ).

cnf(22542,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,22540]) ).

cnf(22543,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,22541]) ).

cnf(22544,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22542]) ).

cnf(22545,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22543]) ).

cnf(22546,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22544]) ).

cnf(22547,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22545]) ).

cnf(22548,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22546]) ).

cnf(22549,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22547]) ).

cnf(22550,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22548]) ).

cnf(22551,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22549]) ).

cnf(22552,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22550]) ).

cnf(22553,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22551]) ).

cnf(22554,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22552]) ).

cnf(22555,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22553]) ).

cnf(22556,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22554]) ).

cnf(22557,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22555]) ).

cnf(22558,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[13,22556]) ).

cnf(22559,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[13,22557]) ).

cnf(22560,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22558]) ).

cnf(22561,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22559]) ).

cnf(22562,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22560]) ).

cnf(22563,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22561]) ).

cnf(22564,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22562]) ).

cnf(22565,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22563]) ).

cnf(22566,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22564]) ).

cnf(22567,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22565]) ).

cnf(22568,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22566]) ).

cnf(22569,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22567]) ).

cnf(22570,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22568]) ).

cnf(22571,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22569]) ).

cnf(22572,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22570]) ).

cnf(22573,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22571]) ).

cnf(22574,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,22572]) ).

cnf(22575,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,22573]) ).

cnf(22576,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22574]) ).

cnf(22577,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22575]) ).

cnf(22578,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22576]) ).

cnf(22579,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22577]) ).

cnf(22580,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22578]) ).

cnf(22581,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22579]) ).

cnf(22582,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22580]) ).

cnf(22583,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22581]) ).

cnf(22584,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22582]) ).

cnf(22585,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22583]) ).

cnf(22586,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22584]) ).

cnf(22587,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22585]) ).

cnf(22588,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22586]) ).

cnf(22589,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22587]) ).

cnf(22590,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,22588]) ).

cnf(22591,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,22589]) ).

cnf(22592,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22590]) ).

cnf(22593,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22591]) ).

cnf(22594,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22592]) ).

cnf(22595,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22593]) ).

cnf(22596,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22594]) ).

cnf(22597,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22595]) ).

cnf(22598,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22596]) ).

cnf(22599,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22597]) ).

cnf(22600,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22598]) ).

cnf(22601,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22599]) ).

cnf(22602,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22600]) ).

cnf(22603,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22601]) ).

cnf(22604,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22602]) ).

cnf(22605,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22603]) ).

cnf(22606,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,22604]) ).

cnf(22607,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,22605]) ).

cnf(22608,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22606]) ).

cnf(22609,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22607]) ).

cnf(22610,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22608]) ).

cnf(22611,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22609]) ).

cnf(22612,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22610]) ).

cnf(22613,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22611]) ).

cnf(22614,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22612]) ).

cnf(22615,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22613]) ).

cnf(22616,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22614]) ).

cnf(22617,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22615]) ).

cnf(22618,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22616]) ).

cnf(22619,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22617]) ).

cnf(22620,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22618]) ).

cnf(22621,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22619]) ).

cnf(22622,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,22620]) ).

cnf(22623,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,22621]) ).

cnf(22624,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22622]) ).

cnf(22625,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22623]) ).

cnf(22626,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22624]) ).

cnf(22627,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22625]) ).

cnf(22628,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22626]) ).

cnf(22629,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22627]) ).

cnf(22630,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22628]) ).

cnf(22631,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22629]) ).

cnf(22632,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22630]) ).

cnf(22633,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22631]) ).

cnf(22634,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22632]) ).

cnf(22635,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22633]) ).

cnf(22636,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22634]) ).

cnf(22637,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22635]) ).

cnf(22638,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,22636]) ).

cnf(22639,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,22637]) ).

cnf(22640,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22638]) ).

cnf(22641,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22639]) ).

cnf(22642,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22640]) ).

cnf(22643,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22641]) ).

cnf(22644,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22642]) ).

cnf(22645,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22643]) ).

cnf(22646,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22644]) ).

cnf(22647,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22645]) ).

cnf(22648,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22646]) ).

cnf(22649,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22647]) ).

cnf(22650,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22648]) ).

cnf(22651,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22649]) ).

cnf(22652,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22650]) ).

cnf(22653,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22651]) ).

cnf(22654,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,22652]) ).

cnf(22655,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,22653]) ).

cnf(22656,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22654]) ).

cnf(22657,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22655]) ).

cnf(22658,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22656]) ).

cnf(22659,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22657]) ).

cnf(22660,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22658]) ).

cnf(22661,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22659]) ).

cnf(22662,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22660]) ).

cnf(22663,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22661]) ).

cnf(22664,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22662]) ).

cnf(22665,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22663]) ).

cnf(22666,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22664]) ).

cnf(22667,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22665]) ).

cnf(22668,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22666]) ).

cnf(22669,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22667]) ).

cnf(22670,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,22668]) ).

cnf(22671,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,22669]) ).

cnf(22672,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22670]) ).

cnf(22673,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22671]) ).

cnf(22674,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22672]) ).

cnf(22675,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22673]) ).

cnf(22676,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22674]) ).

cnf(22677,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22675]) ).

cnf(22678,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22676]) ).

cnf(22679,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22677]) ).

cnf(22680,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22678]) ).

cnf(22681,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22679]) ).

cnf(22682,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22680]) ).

cnf(22683,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22681]) ).

cnf(22684,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22682]) ).

cnf(22685,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22683]) ).

cnf(22686,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,22684]) ).

cnf(22687,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,22685]) ).

cnf(22688,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22686]) ).

cnf(22689,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22687]) ).

cnf(22690,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22688]) ).

cnf(22691,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22689]) ).

cnf(22692,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22690]) ).

cnf(22693,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22691]) ).

cnf(22694,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22692]) ).

cnf(22695,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22693]) ).

cnf(22696,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22694]) ).

cnf(22697,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22695]) ).

cnf(22698,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22696]) ).

cnf(22699,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22697]) ).

cnf(22700,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22698]) ).

cnf(22701,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22699]) ).

cnf(22702,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,22700]) ).

cnf(22703,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,22701]) ).

cnf(22704,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22702]) ).

cnf(22705,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22703]) ).

cnf(22706,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22704]) ).

cnf(22707,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22705]) ).

cnf(22708,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22706]) ).

cnf(22709,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22707]) ).

cnf(22710,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22708]) ).

cnf(22711,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22709]) ).

cnf(22712,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22710]) ).

cnf(22713,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22711]) ).

cnf(22714,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22712]) ).

cnf(22715,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22713]) ).

cnf(22716,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22714]) ).

cnf(22717,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22715]) ).

cnf(22718,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,22716]) ).

cnf(22719,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,22717]) ).

cnf(22720,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22718]) ).

cnf(22721,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22719]) ).

cnf(22722,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22720]) ).

cnf(22723,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22721]) ).

cnf(22724,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22722]) ).

cnf(22725,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22723]) ).

cnf(22726,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22724]) ).

cnf(22727,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22725]) ).

cnf(22728,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22726]) ).

cnf(22729,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22727]) ).

cnf(22730,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22728]) ).

cnf(22731,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22729]) ).

cnf(22732,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22730]) ).

cnf(22733,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22731]) ).

cnf(22734,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,22732]) ).

cnf(22735,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,22733]) ).

cnf(22736,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22734]) ).

cnf(22737,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22735]) ).

cnf(22738,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22736]) ).

cnf(22739,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22737]) ).

cnf(22740,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22738]) ).

cnf(22741,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22739]) ).

cnf(22742,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22740]) ).

cnf(22743,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22741]) ).

cnf(22744,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22742]) ).

cnf(22745,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22743]) ).

cnf(22746,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22744]) ).

cnf(22747,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22745]) ).

cnf(22748,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22746]) ).

cnf(22749,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22747]) ).

cnf(22750,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,22748]) ).

cnf(22751,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,22749]) ).

cnf(22752,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22750]) ).

cnf(22753,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22751]) ).

cnf(22754,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22752]) ).

cnf(22755,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22753]) ).

cnf(22756,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22754]) ).

cnf(22757,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22755]) ).

cnf(22758,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22756]) ).

cnf(22759,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22757]) ).

cnf(22760,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22758]) ).

cnf(22761,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22759]) ).

cnf(22762,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22760]) ).

cnf(22763,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22761]) ).

cnf(22764,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22762]) ).

cnf(22765,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22763]) ).

cnf(22766,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,22764]) ).

cnf(22767,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,22765]) ).

cnf(22768,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22766]) ).

cnf(22769,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22767]) ).

cnf(22770,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22768]) ).

cnf(22771,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22769]) ).

cnf(22772,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22770]) ).

cnf(22773,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22771]) ).

cnf(22774,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22772]) ).

cnf(22775,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22773]) ).

cnf(22776,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22774]) ).

cnf(22777,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22775]) ).

cnf(22778,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22776]) ).

cnf(22779,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22777]) ).

cnf(22780,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22778]) ).

cnf(22781,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22779]) ).

cnf(22782,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,22780]) ).

cnf(22783,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,22781]) ).

cnf(22784,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22782]) ).

cnf(22785,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22783]) ).

cnf(22786,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22784]) ).

cnf(22787,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22785]) ).

cnf(22788,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22786]) ).

cnf(22789,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22787]) ).

cnf(22790,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22788]) ).

cnf(22791,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22789]) ).

cnf(22792,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22790]) ).

cnf(22793,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22791]) ).

cnf(22794,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22792]) ).

cnf(22795,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22793]) ).

cnf(22796,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22794]) ).

cnf(22797,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22795]) ).

cnf(22798,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,22796]) ).

cnf(22799,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,22797]) ).

cnf(22800,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22798]) ).

cnf(22801,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22799]) ).

cnf(22802,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22800]) ).

cnf(22803,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22801]) ).

cnf(22804,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22802]) ).

cnf(22805,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22803]) ).

cnf(22806,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22804]) ).

cnf(22807,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22805]) ).

cnf(22808,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22806]) ).

cnf(22809,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22807]) ).

cnf(22810,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22808]) ).

cnf(22811,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22809]) ).

cnf(22812,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22810]) ).

cnf(22813,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22811]) ).

cnf(22814,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,22812]) ).

cnf(22815,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,22813]) ).

cnf(22816,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22814]) ).

cnf(22817,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22815]) ).

cnf(22818,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22816]) ).

cnf(22819,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22817]) ).

cnf(22820,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22818]) ).

cnf(22821,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22819]) ).

cnf(22822,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22820]) ).

cnf(22823,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22821]) ).

cnf(22824,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22822]) ).

cnf(22825,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22823]) ).

cnf(22826,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22824]) ).

cnf(22827,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22825]) ).

cnf(22828,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22826]) ).

cnf(22829,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22827]) ).

cnf(22830,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,22828]) ).

cnf(22831,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,22829]) ).

cnf(22832,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22830]) ).

cnf(22833,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22831]) ).

cnf(22834,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22832]) ).

cnf(22835,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22833]) ).

cnf(22836,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22834]) ).

cnf(22837,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22835]) ).

cnf(22838,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22836]) ).

cnf(22839,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22837]) ).

cnf(22840,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22838]) ).

cnf(22841,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22839]) ).

cnf(22842,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22840]) ).

cnf(22843,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22841]) ).

cnf(22844,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22842]) ).

cnf(22845,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22843]) ).

cnf(22846,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,22844]) ).

cnf(22847,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,22845]) ).

cnf(22848,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22846]) ).

cnf(22849,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22847]) ).

cnf(22850,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22848]) ).

cnf(22851,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22849]) ).

cnf(22852,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22850]) ).

cnf(22853,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22851]) ).

cnf(22854,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22852]) ).

cnf(22855,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22853]) ).

cnf(22856,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22854]) ).

cnf(22857,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22855]) ).

cnf(22858,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22856]) ).

cnf(22859,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22857]) ).

cnf(22860,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22858]) ).

cnf(22861,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22859]) ).

cnf(22862,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,22860]) ).

cnf(22863,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,22861]) ).

cnf(22864,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22862]) ).

cnf(22865,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22863]) ).

cnf(22866,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22864]) ).

cnf(22867,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22865]) ).

cnf(22868,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22866]) ).

cnf(22869,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22867]) ).

cnf(22870,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22868]) ).

cnf(22871,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22869]) ).

cnf(22872,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22870]) ).

cnf(22873,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22871]) ).

cnf(22874,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22872]) ).

cnf(22875,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22873]) ).

cnf(22876,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22874]) ).

cnf(22877,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22875]) ).

cnf(22878,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,22876]) ).

cnf(22879,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,22877]) ).

cnf(22880,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22878]) ).

cnf(22881,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22879]) ).

cnf(22882,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22880]) ).

cnf(22883,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22881]) ).

cnf(22884,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22882]) ).

cnf(22885,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22883]) ).

cnf(22886,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22884]) ).

cnf(22887,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22885]) ).

cnf(22888,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22886]) ).

cnf(22889,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22887]) ).

cnf(22890,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22888]) ).

cnf(22891,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22889]) ).

cnf(22892,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22890]) ).

cnf(22893,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22891]) ).

cnf(22894,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,22892]) ).

cnf(22895,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,22893]) ).

cnf(22896,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22894]) ).

cnf(22897,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22895]) ).

cnf(22898,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22896]) ).

cnf(22899,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22897]) ).

cnf(22900,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22898]) ).

cnf(22901,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22899]) ).

cnf(22902,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22900]) ).

cnf(22903,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22901]) ).

cnf(22904,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22902]) ).

cnf(22905,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22903]) ).

cnf(22906,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22904]) ).

cnf(22907,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22905]) ).

cnf(22908,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22906]) ).

cnf(22909,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22907]) ).

cnf(22910,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,22908]) ).

cnf(22911,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,22909]) ).

cnf(22912,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22910]) ).

cnf(22913,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22911]) ).

cnf(22914,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22912]) ).

cnf(22915,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22913]) ).

cnf(22916,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22914]) ).

cnf(22917,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22915]) ).

cnf(22918,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22916]) ).

cnf(22919,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22917]) ).

cnf(22920,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22918]) ).

cnf(22921,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22919]) ).

cnf(22922,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22920]) ).

cnf(22923,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22921]) ).

cnf(22924,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22922]) ).

cnf(22925,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22923]) ).

cnf(22926,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,22924]) ).

cnf(22927,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,22925]) ).

cnf(22928,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22926]) ).

cnf(22929,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22927]) ).

cnf(22930,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22928]) ).

cnf(22931,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22929]) ).

cnf(22932,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22930]) ).

cnf(22933,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22931]) ).

cnf(22934,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22932]) ).

cnf(22935,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22933]) ).

cnf(22936,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22934]) ).

cnf(22937,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22935]) ).

cnf(22938,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22936]) ).

cnf(22939,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22937]) ).

cnf(22940,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22938]) ).

cnf(22941,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22939]) ).

cnf(22942,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,22940]) ).

cnf(22943,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,22941]) ).

cnf(22944,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22942]) ).

cnf(22945,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22943]) ).

cnf(22946,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22944]) ).

cnf(22947,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22945]) ).

cnf(22948,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22946]) ).

cnf(22949,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22947]) ).

cnf(22950,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22948]) ).

cnf(22951,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22949]) ).

cnf(22952,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22950]) ).

cnf(22953,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22951]) ).

cnf(22954,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22952]) ).

cnf(22955,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22953]) ).

cnf(22956,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22954]) ).

cnf(22957,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22955]) ).

cnf(22958,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,22956]) ).

cnf(22959,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,22957]) ).

cnf(22960,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22958]) ).

cnf(22961,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22959]) ).

cnf(22962,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22960]) ).

cnf(22963,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22961]) ).

cnf(22964,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22962]) ).

cnf(22965,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22963]) ).

cnf(22966,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22964]) ).

cnf(22967,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22965]) ).

cnf(22968,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22966]) ).

cnf(22969,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22967]) ).

cnf(22970,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22968]) ).

cnf(22971,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22969]) ).

cnf(22972,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22970]) ).

cnf(22973,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22971]) ).

cnf(22974,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,22972]) ).

cnf(22975,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,22973]) ).

cnf(22976,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22974]) ).

cnf(22977,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22975]) ).

cnf(22978,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22976]) ).

cnf(22979,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22977]) ).

cnf(22980,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22978]) ).

cnf(22981,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22979]) ).

cnf(22982,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22980]) ).

cnf(22983,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22981]) ).

cnf(22984,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22982]) ).

cnf(22985,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22983]) ).

cnf(22986,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22984]) ).

cnf(22987,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22985]) ).

cnf(22988,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22986]) ).

cnf(22989,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22987]) ).

cnf(22990,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,22988]) ).

cnf(22991,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,22989]) ).

cnf(22992,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22990]) ).

cnf(22993,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22991]) ).

cnf(22994,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,22992]) ).

cnf(22995,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,22993]) ).

cnf(22996,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22994]) ).

cnf(22997,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22995]) ).

cnf(22998,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,22996]) ).

cnf(22999,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,22997]) ).

cnf(23000,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,22998]) ).

cnf(23001,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,22999]) ).

cnf(23002,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23000]) ).

cnf(23003,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23001]) ).

cnf(23004,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23002]) ).

cnf(23005,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23003]) ).

cnf(23006,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,23004]) ).

cnf(23007,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,23005]) ).

cnf(23008,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23006]) ).

cnf(23009,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23007]) ).

cnf(23010,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23008]) ).

cnf(23011,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23009]) ).

cnf(23012,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23010]) ).

cnf(23013,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23011]) ).

cnf(23014,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23012]) ).

cnf(23015,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23013]) ).

cnf(23016,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23014]) ).

cnf(23017,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23015]) ).

cnf(23018,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23016]) ).

cnf(23019,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23017]) ).

cnf(23020,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23018]) ).

cnf(23021,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23019]) ).

cnf(23022,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,23020]) ).

cnf(23023,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,23021]) ).

cnf(23024,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23022]) ).

cnf(23025,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23023]) ).

cnf(23026,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23024]) ).

cnf(23027,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23025]) ).

cnf(23028,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23026]) ).

cnf(23029,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23027]) ).

cnf(23030,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23028]) ).

cnf(23031,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23029]) ).

cnf(23032,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23030]) ).

cnf(23033,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23031]) ).

cnf(23034,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23032]) ).

cnf(23035,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23033]) ).

cnf(23036,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23034]) ).

cnf(23037,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23035]) ).

cnf(23038,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,23036]) ).

cnf(23039,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,23037]) ).

cnf(23040,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23038]) ).

cnf(23041,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23039]) ).

cnf(23042,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23040]) ).

cnf(23043,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23041]) ).

cnf(23044,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23042]) ).

cnf(23045,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23043]) ).

cnf(23046,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23044]) ).

cnf(23047,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23045]) ).

cnf(23048,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23046]) ).

cnf(23049,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23047]) ).

cnf(23050,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23048]) ).

cnf(23051,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23049]) ).

cnf(23052,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23050]) ).

cnf(23053,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23051]) ).

cnf(23054,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,23052]) ).

cnf(23055,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,23053]) ).

cnf(23056,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23054]) ).

cnf(23057,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23055]) ).

cnf(23058,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23056]) ).

cnf(23059,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23057]) ).

cnf(23060,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23058]) ).

cnf(23061,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23059]) ).

cnf(23062,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23060]) ).

cnf(23063,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23061]) ).

cnf(23064,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23062]) ).

cnf(23065,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23063]) ).

cnf(23066,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23064]) ).

cnf(23067,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23065]) ).

cnf(23068,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23066]) ).

cnf(23069,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23067]) ).

cnf(23070,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[11,23068]) ).

cnf(23071,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[11,23069]) ).

cnf(23072,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23070]) ).

cnf(23073,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23071]) ).

cnf(23074,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23072]) ).

cnf(23075,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23073]) ).

cnf(23076,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23074]) ).

cnf(23077,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23075]) ).

cnf(23078,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23076]) ).

cnf(23079,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23077]) ).

cnf(23080,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23078]) ).

cnf(23081,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23079]) ).

cnf(23082,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23080]) ).

cnf(23083,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23081]) ).

cnf(23084,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23082]) ).

cnf(23085,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23083]) ).

cnf(23086,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,23084]) ).

cnf(23087,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,23085]) ).

cnf(23088,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23086]) ).

cnf(23089,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23087]) ).

cnf(23090,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23088]) ).

cnf(23091,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23089]) ).

cnf(23092,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23090]) ).

cnf(23093,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23091]) ).

cnf(23094,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23092]) ).

cnf(23095,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23093]) ).

cnf(23096,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23094]) ).

cnf(23097,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23095]) ).

cnf(23098,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23096]) ).

cnf(23099,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23097]) ).

cnf(23100,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23098]) ).

cnf(23101,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23099]) ).

cnf(23102,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,23100]) ).

cnf(23103,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,23101]) ).

cnf(23104,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23102]) ).

cnf(23105,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23103]) ).

cnf(23106,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23104]) ).

cnf(23107,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23105]) ).

cnf(23108,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23106]) ).

cnf(23109,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23107]) ).

cnf(23110,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23108]) ).

cnf(23111,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23109]) ).

cnf(23112,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23110]) ).

cnf(23113,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23111]) ).

cnf(23114,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23112]) ).

cnf(23115,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23113]) ).

cnf(23116,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23114]) ).

cnf(23117,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23115]) ).

cnf(23118,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,23116]) ).

cnf(23119,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,23117]) ).

cnf(23120,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23118]) ).

cnf(23121,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23119]) ).

cnf(23122,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23120]) ).

cnf(23123,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23121]) ).

cnf(23124,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23122]) ).

cnf(23125,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23123]) ).

cnf(23126,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23124]) ).

cnf(23127,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23125]) ).

cnf(23128,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23126]) ).

cnf(23129,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23127]) ).

cnf(23130,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23128]) ).

cnf(23131,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23129]) ).

cnf(23132,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23130]) ).

cnf(23133,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23131]) ).

cnf(23134,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,23132]) ).

cnf(23135,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,23133]) ).

cnf(23136,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23134]) ).

cnf(23137,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23135]) ).

cnf(23138,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23136]) ).

cnf(23139,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23137]) ).

cnf(23140,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23138]) ).

cnf(23141,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23139]) ).

cnf(23142,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23140]) ).

cnf(23143,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23141]) ).

cnf(23144,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23142]) ).

cnf(23145,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23143]) ).

cnf(23146,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23144]) ).

cnf(23147,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23145]) ).

cnf(23148,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23146]) ).

cnf(23149,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23147]) ).

cnf(23150,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,23148]) ).

cnf(23151,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,23149]) ).

cnf(23152,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23150]) ).

cnf(23153,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23151]) ).

cnf(23154,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23152]) ).

cnf(23155,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23153]) ).

cnf(23156,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23154]) ).

cnf(23157,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23155]) ).

cnf(23158,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23156]) ).

cnf(23159,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23157]) ).

cnf(23160,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23158]) ).

cnf(23161,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23159]) ).

cnf(23162,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23160]) ).

cnf(23163,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23161]) ).

cnf(23164,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23162]) ).

cnf(23165,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23163]) ).

cnf(23166,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,23164]) ).

cnf(23167,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,23165]) ).

cnf(23168,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23166]) ).

cnf(23169,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23167]) ).

cnf(23170,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23168]) ).

cnf(23171,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23169]) ).

cnf(23172,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23170]) ).

cnf(23173,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23171]) ).

cnf(23174,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23172]) ).

cnf(23175,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23173]) ).

cnf(23176,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23174]) ).

cnf(23177,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23175]) ).

cnf(23178,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23176]) ).

cnf(23179,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23177]) ).

cnf(23180,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23178]) ).

cnf(23181,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23179]) ).

cnf(23182,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,23180]) ).

cnf(23183,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,23181]) ).

cnf(23184,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23182]) ).

cnf(23185,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23183]) ).

cnf(23186,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23184]) ).

cnf(23187,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23185]) ).

cnf(23188,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23186]) ).

cnf(23189,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23187]) ).

cnf(23190,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23188]) ).

cnf(23191,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23189]) ).

cnf(23192,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23190]) ).

cnf(23193,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23191]) ).

cnf(23194,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23192]) ).

cnf(23195,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23193]) ).

cnf(23196,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23194]) ).

cnf(23197,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23195]) ).

cnf(23198,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,23196]) ).

cnf(23199,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,23197]) ).

cnf(23200,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23198]) ).

cnf(23201,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23199]) ).

cnf(23202,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23200]) ).

cnf(23203,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23201]) ).

cnf(23204,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23202]) ).

cnf(23205,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23203]) ).

cnf(23206,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23204]) ).

cnf(23207,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23205]) ).

cnf(23208,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23206]) ).

cnf(23209,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23207]) ).

cnf(23210,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23208]) ).

cnf(23211,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23209]) ).

cnf(23212,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23210]) ).

cnf(23213,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23211]) ).

cnf(23214,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,23212]) ).

cnf(23215,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,23213]) ).

cnf(23216,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23214]) ).

cnf(23217,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23215]) ).

cnf(23218,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23216]) ).

cnf(23219,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23217]) ).

cnf(23220,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23218]) ).

cnf(23221,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23219]) ).

cnf(23222,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23220]) ).

cnf(23223,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23221]) ).

cnf(23224,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23222]) ).

cnf(23225,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23223]) ).

cnf(23226,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23224]) ).

cnf(23227,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23225]) ).

cnf(23228,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23226]) ).

cnf(23229,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23227]) ).

cnf(23230,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,23228]) ).

cnf(23231,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,23229]) ).

cnf(23232,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23230]) ).

cnf(23233,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23231]) ).

cnf(23234,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23232]) ).

cnf(23235,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23233]) ).

cnf(23236,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23234]) ).

cnf(23237,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23235]) ).

cnf(23238,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23236]) ).

cnf(23239,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23237]) ).

cnf(23240,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23238]) ).

cnf(23241,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23239]) ).

cnf(23242,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23240]) ).

cnf(23243,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23241]) ).

cnf(23244,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23242]) ).

cnf(23245,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23243]) ).

cnf(23246,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,23244]) ).

cnf(23247,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,23245]) ).

cnf(23248,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23246]) ).

cnf(23249,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23247]) ).

cnf(23250,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23248]) ).

cnf(23251,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23249]) ).

cnf(23252,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23250]) ).

cnf(23253,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23251]) ).

cnf(23254,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23252]) ).

cnf(23255,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23253]) ).

cnf(23256,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23254]) ).

cnf(23257,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23255]) ).

cnf(23258,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23256]) ).

cnf(23259,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23257]) ).

cnf(23260,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23258]) ).

cnf(23261,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23259]) ).

cnf(23262,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,23260]) ).

cnf(23263,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,23261]) ).

cnf(23264,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23262]) ).

cnf(23265,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23263]) ).

cnf(23266,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23264]) ).

cnf(23267,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23265]) ).

cnf(23268,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23266]) ).

cnf(23269,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23267]) ).

cnf(23270,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23268]) ).

cnf(23271,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23269]) ).

cnf(23272,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23270]) ).

cnf(23273,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23271]) ).

cnf(23274,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23272]) ).

cnf(23275,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23273]) ).

cnf(23276,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23274]) ).

cnf(23277,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23275]) ).

cnf(23278,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,23276]) ).

cnf(23279,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,23277]) ).

cnf(23280,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23278]) ).

cnf(23281,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23279]) ).

cnf(23282,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23280]) ).

cnf(23283,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23281]) ).

cnf(23284,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23282]) ).

cnf(23285,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23283]) ).

cnf(23286,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23284]) ).

cnf(23287,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23285]) ).

cnf(23288,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23286]) ).

cnf(23289,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23287]) ).

cnf(23290,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23288]) ).

cnf(23291,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23289]) ).

cnf(23292,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23290]) ).

cnf(23293,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23291]) ).

cnf(23294,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,23292]) ).

cnf(23295,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,23293]) ).

cnf(23296,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23294]) ).

cnf(23297,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23295]) ).

cnf(23298,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23296]) ).

cnf(23299,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23297]) ).

cnf(23300,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23298]) ).

cnf(23301,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23299]) ).

cnf(23302,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23300]) ).

cnf(23303,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23301]) ).

cnf(23304,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23302]) ).

cnf(23305,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23303]) ).

cnf(23306,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23304]) ).

cnf(23307,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23305]) ).

cnf(23308,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23306]) ).

cnf(23309,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23307]) ).

cnf(23310,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,23308]) ).

cnf(23311,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,23309]) ).

cnf(23312,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23310]) ).

cnf(23313,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23311]) ).

cnf(23314,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23312]) ).

cnf(23315,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23313]) ).

cnf(23316,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23314]) ).

cnf(23317,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23315]) ).

cnf(23318,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23316]) ).

cnf(23319,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23317]) ).

cnf(23320,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23318]) ).

cnf(23321,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23319]) ).

cnf(23322,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23320]) ).

cnf(23323,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23321]) ).

cnf(23324,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23322]) ).

cnf(23325,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23323]) ).

cnf(23326,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,23324]) ).

cnf(23327,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,23325]) ).

cnf(23328,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23326]) ).

cnf(23329,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23327]) ).

cnf(23330,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23328]) ).

cnf(23331,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23329]) ).

cnf(23332,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23330]) ).

cnf(23333,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23331]) ).

cnf(23334,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23332]) ).

cnf(23335,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23333]) ).

cnf(23336,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23334]) ).

cnf(23337,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23335]) ).

cnf(23338,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23336]) ).

cnf(23339,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23337]) ).

cnf(23340,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23338]) ).

cnf(23341,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23339]) ).

cnf(23342,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,23340]) ).

cnf(23343,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,23341]) ).

cnf(23344,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23342]) ).

cnf(23345,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23343]) ).

cnf(23346,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23344]) ).

cnf(23347,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23345]) ).

cnf(23348,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23346]) ).

cnf(23349,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23347]) ).

cnf(23350,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23348]) ).

cnf(23351,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23349]) ).

cnf(23352,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23350]) ).

cnf(23353,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23351]) ).

cnf(23354,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23352]) ).

cnf(23355,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23353]) ).

cnf(23356,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23354]) ).

cnf(23357,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23355]) ).

cnf(23358,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,23356]) ).

cnf(23359,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,23357]) ).

cnf(23360,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23358]) ).

cnf(23361,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23359]) ).

cnf(23362,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23360]) ).

cnf(23363,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23361]) ).

cnf(23364,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23362]) ).

cnf(23365,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23363]) ).

cnf(23366,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23364]) ).

cnf(23367,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23365]) ).

cnf(23368,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23366]) ).

cnf(23369,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23367]) ).

cnf(23370,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23368]) ).

cnf(23371,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23369]) ).

cnf(23372,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23370]) ).

cnf(23373,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23371]) ).

cnf(23374,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,23372]) ).

cnf(23375,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,23373]) ).

cnf(23376,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23374]) ).

cnf(23377,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23375]) ).

cnf(23378,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23376]) ).

cnf(23379,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23377]) ).

cnf(23380,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23378]) ).

cnf(23381,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23379]) ).

cnf(23382,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23380]) ).

cnf(23383,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23381]) ).

cnf(23384,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23382]) ).

cnf(23385,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23383]) ).

cnf(23386,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23384]) ).

cnf(23387,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23385]) ).

cnf(23388,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23386]) ).

cnf(23389,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23387]) ).

cnf(23390,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,23388]) ).

cnf(23391,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,23389]) ).

cnf(23392,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23390]) ).

cnf(23393,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23391]) ).

cnf(23394,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23392]) ).

cnf(23395,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23393]) ).

cnf(23396,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23394]) ).

cnf(23397,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23395]) ).

cnf(23398,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23396]) ).

cnf(23399,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23397]) ).

cnf(23400,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23398]) ).

cnf(23401,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23399]) ).

cnf(23402,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23400]) ).

cnf(23403,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23401]) ).

cnf(23404,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23402]) ).

cnf(23405,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23403]) ).

cnf(23406,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,23404]) ).

cnf(23407,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,23405]) ).

cnf(23408,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23406]) ).

cnf(23409,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23407]) ).

cnf(23410,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23408]) ).

cnf(23411,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23409]) ).

cnf(23412,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23410]) ).

cnf(23413,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23411]) ).

cnf(23414,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23412]) ).

cnf(23415,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23413]) ).

cnf(23416,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23414]) ).

cnf(23417,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23415]) ).

cnf(23418,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23416]) ).

cnf(23419,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23417]) ).

cnf(23420,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23418]) ).

cnf(23421,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23419]) ).

cnf(23422,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,23420]) ).

cnf(23423,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,23421]) ).

cnf(23424,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23422]) ).

cnf(23425,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23423]) ).

cnf(23426,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23424]) ).

cnf(23427,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23425]) ).

cnf(23428,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23426]) ).

cnf(23429,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23427]) ).

cnf(23430,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23428]) ).

cnf(23431,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23429]) ).

cnf(23432,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23430]) ).

cnf(23433,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23431]) ).

cnf(23434,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23432]) ).

cnf(23435,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23433]) ).

cnf(23436,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23434]) ).

cnf(23437,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23435]) ).

cnf(23438,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,23436]) ).

cnf(23439,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,23437]) ).

cnf(23440,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23438]) ).

cnf(23441,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23439]) ).

cnf(23442,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23440]) ).

cnf(23443,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23441]) ).

cnf(23444,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23442]) ).

cnf(23445,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23443]) ).

cnf(23446,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23444]) ).

cnf(23447,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23445]) ).

cnf(23448,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23446]) ).

cnf(23449,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23447]) ).

cnf(23450,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23448]) ).

cnf(23451,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23449]) ).

cnf(23452,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23450]) ).

cnf(23453,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23451]) ).

cnf(23454,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,23452]) ).

cnf(23455,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,23453]) ).

cnf(23456,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23454]) ).

cnf(23457,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23455]) ).

cnf(23458,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23456]) ).

cnf(23459,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23457]) ).

cnf(23460,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23458]) ).

cnf(23461,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23459]) ).

cnf(23462,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23460]) ).

cnf(23463,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23461]) ).

cnf(23464,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23462]) ).

cnf(23465,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23463]) ).

cnf(23466,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23464]) ).

cnf(23467,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23465]) ).

cnf(23468,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23466]) ).

cnf(23469,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23467]) ).

cnf(23470,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,23468]) ).

cnf(23471,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,23469]) ).

cnf(23472,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23470]) ).

cnf(23473,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23471]) ).

cnf(23474,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23472]) ).

cnf(23475,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23473]) ).

cnf(23476,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23474]) ).

cnf(23477,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23475]) ).

cnf(23478,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23476]) ).

cnf(23479,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23477]) ).

cnf(23480,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23478]) ).

cnf(23481,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23479]) ).

cnf(23482,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23480]) ).

cnf(23483,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23481]) ).

cnf(23484,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23482]) ).

cnf(23485,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23483]) ).

cnf(23486,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,23484]) ).

cnf(23487,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,23485]) ).

cnf(23488,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23486]) ).

cnf(23489,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23487]) ).

cnf(23490,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23488]) ).

cnf(23491,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23489]) ).

cnf(23492,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23490]) ).

cnf(23493,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23491]) ).

cnf(23494,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23492]) ).

cnf(23495,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23493]) ).

cnf(23496,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23494]) ).

cnf(23497,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23495]) ).

cnf(23498,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23496]) ).

cnf(23499,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23497]) ).

cnf(23500,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23498]) ).

cnf(23501,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23499]) ).

cnf(23502,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,23500]) ).

cnf(23503,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,23501]) ).

cnf(23504,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23502]) ).

cnf(23505,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23503]) ).

cnf(23506,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23504]) ).

cnf(23507,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23505]) ).

cnf(23508,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23506]) ).

cnf(23509,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23507]) ).

cnf(23510,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23508]) ).

cnf(23511,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23509]) ).

cnf(23512,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23510]) ).

cnf(23513,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23511]) ).

cnf(23514,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23512]) ).

cnf(23515,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23513]) ).

cnf(23516,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23514]) ).

cnf(23517,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23515]) ).

cnf(23518,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,23516]) ).

cnf(23519,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,23517]) ).

cnf(23520,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23518]) ).

cnf(23521,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23519]) ).

cnf(23522,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23520]) ).

cnf(23523,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23521]) ).

cnf(23524,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23522]) ).

cnf(23525,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23523]) ).

cnf(23526,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23524]) ).

cnf(23527,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23525]) ).

cnf(23528,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23526]) ).

cnf(23529,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23527]) ).

cnf(23530,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23528]) ).

cnf(23531,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23529]) ).

cnf(23532,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23530]) ).

cnf(23533,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23531]) ).

cnf(23534,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,23532]) ).

cnf(23535,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,23533]) ).

cnf(23536,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23534]) ).

cnf(23537,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23535]) ).

cnf(23538,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23536]) ).

cnf(23539,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23537]) ).

cnf(23540,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23538]) ).

cnf(23541,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23539]) ).

cnf(23542,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23540]) ).

cnf(23543,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23541]) ).

cnf(23544,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23542]) ).

cnf(23545,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23543]) ).

cnf(23546,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23544]) ).

cnf(23547,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23545]) ).

cnf(23548,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23546]) ).

cnf(23549,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23547]) ).

cnf(23550,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,23548]) ).

cnf(23551,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,23549]) ).

cnf(23552,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23550]) ).

cnf(23553,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23551]) ).

cnf(23554,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23552]) ).

cnf(23555,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23553]) ).

cnf(23556,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23554]) ).

cnf(23557,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23555]) ).

cnf(23558,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23556]) ).

cnf(23559,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23557]) ).

cnf(23560,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23558]) ).

cnf(23561,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23559]) ).

cnf(23562,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23560]) ).

cnf(23563,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23561]) ).

cnf(23564,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23562]) ).

cnf(23565,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23563]) ).

cnf(23566,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,23564]) ).

cnf(23567,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,23565]) ).

cnf(23568,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23566]) ).

cnf(23569,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23567]) ).

cnf(23570,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23568]) ).

cnf(23571,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23569]) ).

cnf(23572,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23570]) ).

cnf(23573,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23571]) ).

cnf(23574,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23572]) ).

cnf(23575,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23573]) ).

cnf(23576,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23574]) ).

cnf(23577,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23575]) ).

cnf(23578,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23576]) ).

cnf(23579,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23577]) ).

cnf(23580,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23578]) ).

cnf(23581,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23579]) ).

cnf(23582,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[12,23580]) ).

cnf(23583,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[12,23581]) ).

cnf(23584,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23582]) ).

cnf(23585,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23583]) ).

cnf(23586,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23584]) ).

cnf(23587,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23585]) ).

cnf(23588,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23586]) ).

cnf(23589,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23587]) ).

cnf(23590,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23588]) ).

cnf(23591,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23589]) ).

cnf(23592,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23590]) ).

cnf(23593,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23591]) ).

cnf(23594,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23592]) ).

cnf(23595,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23593]) ).

cnf(23596,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23594]) ).

cnf(23597,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23595]) ).

cnf(23598,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,23596]) ).

cnf(23599,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,23597]) ).

cnf(23600,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23598]) ).

cnf(23601,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23599]) ).

cnf(23602,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23600]) ).

cnf(23603,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23601]) ).

cnf(23604,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23602]) ).

cnf(23605,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23603]) ).

cnf(23606,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23604]) ).

cnf(23607,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23605]) ).

cnf(23608,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23606]) ).

cnf(23609,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23607]) ).

cnf(23610,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23608]) ).

cnf(23611,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23609]) ).

cnf(23612,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23610]) ).

cnf(23613,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23611]) ).

cnf(23614,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,23612]) ).

cnf(23615,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,23613]) ).

cnf(23616,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23614]) ).

cnf(23617,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23615]) ).

cnf(23618,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23616]) ).

cnf(23619,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23617]) ).

cnf(23620,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23618]) ).

cnf(23621,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23619]) ).

cnf(23622,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23620]) ).

cnf(23623,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23621]) ).

cnf(23624,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23622]) ).

cnf(23625,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23623]) ).

cnf(23626,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23624]) ).

cnf(23627,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23625]) ).

cnf(23628,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23626]) ).

cnf(23629,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23627]) ).

cnf(23630,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,23628]) ).

cnf(23631,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,23629]) ).

cnf(23632,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23630]) ).

cnf(23633,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23631]) ).

cnf(23634,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23632]) ).

cnf(23635,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23633]) ).

cnf(23636,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23634]) ).

cnf(23637,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23635]) ).

cnf(23638,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23636]) ).

cnf(23639,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23637]) ).

cnf(23640,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23638]) ).

cnf(23641,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23639]) ).

cnf(23642,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23640]) ).

cnf(23643,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23641]) ).

cnf(23644,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23642]) ).

cnf(23645,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23643]) ).

cnf(23646,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,23644]) ).

cnf(23647,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,23645]) ).

cnf(23648,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23646]) ).

cnf(23649,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23647]) ).

cnf(23650,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23648]) ).

cnf(23651,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23649]) ).

cnf(23652,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23650]) ).

cnf(23653,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23651]) ).

cnf(23654,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23652]) ).

cnf(23655,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23653]) ).

cnf(23656,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23654]) ).

cnf(23657,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23655]) ).

cnf(23658,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23656]) ).

cnf(23659,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23657]) ).

cnf(23660,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23658]) ).

cnf(23661,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23659]) ).

cnf(23662,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,23660]) ).

cnf(23663,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,23661]) ).

cnf(23664,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23662]) ).

cnf(23665,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23663]) ).

cnf(23666,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23664]) ).

cnf(23667,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23665]) ).

cnf(23668,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23666]) ).

cnf(23669,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23667]) ).

cnf(23670,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23668]) ).

cnf(23671,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23669]) ).

cnf(23672,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23670]) ).

cnf(23673,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23671]) ).

cnf(23674,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23672]) ).

cnf(23675,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23673]) ).

cnf(23676,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23674]) ).

cnf(23677,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23675]) ).

cnf(23678,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,23676]) ).

cnf(23679,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,23677]) ).

cnf(23680,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23678]) ).

cnf(23681,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23679]) ).

cnf(23682,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23680]) ).

cnf(23683,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23681]) ).

cnf(23684,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23682]) ).

cnf(23685,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23683]) ).

cnf(23686,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23684]) ).

cnf(23687,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23685]) ).

cnf(23688,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23686]) ).

cnf(23689,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23687]) ).

cnf(23690,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23688]) ).

cnf(23691,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23689]) ).

cnf(23692,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23690]) ).

cnf(23693,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23691]) ).

cnf(23694,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,23692]) ).

cnf(23695,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,23693]) ).

cnf(23696,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23694]) ).

cnf(23697,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23695]) ).

cnf(23698,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23696]) ).

cnf(23699,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23697]) ).

cnf(23700,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23698]) ).

cnf(23701,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23699]) ).

cnf(23702,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23700]) ).

cnf(23703,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23701]) ).

cnf(23704,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23702]) ).

cnf(23705,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23703]) ).

cnf(23706,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23704]) ).

cnf(23707,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23705]) ).

cnf(23708,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23706]) ).

cnf(23709,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23707]) ).

cnf(23710,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,23708]) ).

cnf(23711,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,23709]) ).

cnf(23712,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23710]) ).

cnf(23713,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23711]) ).

cnf(23714,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23712]) ).

cnf(23715,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23713]) ).

cnf(23716,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23714]) ).

cnf(23717,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23715]) ).

cnf(23718,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23716]) ).

cnf(23719,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23717]) ).

cnf(23720,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23718]) ).

cnf(23721,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23719]) ).

cnf(23722,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23720]) ).

cnf(23723,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23721]) ).

cnf(23724,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23722]) ).

cnf(23725,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23723]) ).

cnf(23726,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,23724]) ).

cnf(23727,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,23725]) ).

cnf(23728,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23726]) ).

cnf(23729,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23727]) ).

cnf(23730,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23728]) ).

cnf(23731,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23729]) ).

cnf(23732,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23730]) ).

cnf(23733,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23731]) ).

cnf(23734,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23732]) ).

cnf(23735,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23733]) ).

cnf(23736,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23734]) ).

cnf(23737,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23735]) ).

cnf(23738,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23736]) ).

cnf(23739,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23737]) ).

cnf(23740,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23738]) ).

cnf(23741,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23739]) ).

cnf(23742,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,23740]) ).

cnf(23743,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,23741]) ).

cnf(23744,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23742]) ).

cnf(23745,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23743]) ).

cnf(23746,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23744]) ).

cnf(23747,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23745]) ).

cnf(23748,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23746]) ).

cnf(23749,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23747]) ).

cnf(23750,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23748]) ).

cnf(23751,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23749]) ).

cnf(23752,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23750]) ).

cnf(23753,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23751]) ).

cnf(23754,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23752]) ).

cnf(23755,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23753]) ).

cnf(23756,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23754]) ).

cnf(23757,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23755]) ).

cnf(23758,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,23756]) ).

cnf(23759,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,23757]) ).

cnf(23760,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23758]) ).

cnf(23761,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23759]) ).

cnf(23762,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23760]) ).

cnf(23763,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23761]) ).

cnf(23764,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23762]) ).

cnf(23765,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23763]) ).

cnf(23766,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23764]) ).

cnf(23767,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23765]) ).

cnf(23768,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23766]) ).

cnf(23769,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23767]) ).

cnf(23770,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23768]) ).

cnf(23771,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23769]) ).

cnf(23772,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23770]) ).

cnf(23773,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23771]) ).

cnf(23774,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,23772]) ).

cnf(23775,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,23773]) ).

cnf(23776,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23774]) ).

cnf(23777,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23775]) ).

cnf(23778,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23776]) ).

cnf(23779,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23777]) ).

cnf(23780,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23778]) ).

cnf(23781,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23779]) ).

cnf(23782,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23780]) ).

cnf(23783,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23781]) ).

cnf(23784,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23782]) ).

cnf(23785,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23783]) ).

cnf(23786,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23784]) ).

cnf(23787,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23785]) ).

cnf(23788,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23786]) ).

cnf(23789,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23787]) ).

cnf(23790,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,23788]) ).

cnf(23791,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,23789]) ).

cnf(23792,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23790]) ).

cnf(23793,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23791]) ).

cnf(23794,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23792]) ).

cnf(23795,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23793]) ).

cnf(23796,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23794]) ).

cnf(23797,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23795]) ).

cnf(23798,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23796]) ).

cnf(23799,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23797]) ).

cnf(23800,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23798]) ).

cnf(23801,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23799]) ).

cnf(23802,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23800]) ).

cnf(23803,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23801]) ).

cnf(23804,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23802]) ).

cnf(23805,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23803]) ).

cnf(23806,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,23804]) ).

cnf(23807,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,23805]) ).

cnf(23808,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23806]) ).

cnf(23809,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23807]) ).

cnf(23810,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23808]) ).

cnf(23811,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23809]) ).

cnf(23812,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23810]) ).

cnf(23813,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23811]) ).

cnf(23814,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23812]) ).

cnf(23815,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23813]) ).

cnf(23816,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23814]) ).

cnf(23817,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23815]) ).

cnf(23818,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23816]) ).

cnf(23819,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23817]) ).

cnf(23820,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23818]) ).

cnf(23821,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23819]) ).

cnf(23822,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,23820]) ).

cnf(23823,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,23821]) ).

cnf(23824,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23822]) ).

cnf(23825,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23823]) ).

cnf(23826,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23824]) ).

cnf(23827,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23825]) ).

cnf(23828,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23826]) ).

cnf(23829,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23827]) ).

cnf(23830,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23828]) ).

cnf(23831,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23829]) ).

cnf(23832,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23830]) ).

cnf(23833,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23831]) ).

cnf(23834,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23832]) ).

cnf(23835,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23833]) ).

cnf(23836,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23834]) ).

cnf(23837,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23835]) ).

cnf(23838,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,23836]) ).

cnf(23839,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,23837]) ).

cnf(23840,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23838]) ).

cnf(23841,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23839]) ).

cnf(23842,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23840]) ).

cnf(23843,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23841]) ).

cnf(23844,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23842]) ).

cnf(23845,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23843]) ).

cnf(23846,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23844]) ).

cnf(23847,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23845]) ).

cnf(23848,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23846]) ).

cnf(23849,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23847]) ).

cnf(23850,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23848]) ).

cnf(23851,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23849]) ).

cnf(23852,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23850]) ).

cnf(23853,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23851]) ).

cnf(23854,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,23852]) ).

cnf(23855,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,23853]) ).

cnf(23856,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23854]) ).

cnf(23857,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23855]) ).

cnf(23858,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23856]) ).

cnf(23859,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23857]) ).

cnf(23860,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23858]) ).

cnf(23861,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23859]) ).

cnf(23862,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23860]) ).

cnf(23863,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23861]) ).

cnf(23864,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23862]) ).

cnf(23865,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23863]) ).

cnf(23866,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23864]) ).

cnf(23867,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23865]) ).

cnf(23868,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23866]) ).

cnf(23869,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23867]) ).

cnf(23870,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,23868]) ).

cnf(23871,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,23869]) ).

cnf(23872,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23870]) ).

cnf(23873,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23871]) ).

cnf(23874,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23872]) ).

cnf(23875,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23873]) ).

cnf(23876,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23874]) ).

cnf(23877,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23875]) ).

cnf(23878,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23876]) ).

cnf(23879,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23877]) ).

cnf(23880,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23878]) ).

cnf(23881,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23879]) ).

cnf(23882,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23880]) ).

cnf(23883,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23881]) ).

cnf(23884,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23882]) ).

cnf(23885,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23883]) ).

cnf(23886,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,23884]) ).

cnf(23887,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,23885]) ).

cnf(23888,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23886]) ).

cnf(23889,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23887]) ).

cnf(23890,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23888]) ).

cnf(23891,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23889]) ).

cnf(23892,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23890]) ).

cnf(23893,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23891]) ).

cnf(23894,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23892]) ).

cnf(23895,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23893]) ).

cnf(23896,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23894]) ).

cnf(23897,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23895]) ).

cnf(23898,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23896]) ).

cnf(23899,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23897]) ).

cnf(23900,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23898]) ).

cnf(23901,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23899]) ).

cnf(23902,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,23900]) ).

cnf(23903,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,23901]) ).

cnf(23904,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23902]) ).

cnf(23905,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23903]) ).

cnf(23906,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23904]) ).

cnf(23907,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23905]) ).

cnf(23908,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23906]) ).

cnf(23909,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23907]) ).

cnf(23910,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23908]) ).

cnf(23911,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23909]) ).

cnf(23912,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23910]) ).

cnf(23913,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23911]) ).

cnf(23914,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23912]) ).

cnf(23915,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23913]) ).

cnf(23916,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23914]) ).

cnf(23917,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23915]) ).

cnf(23918,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,23916]) ).

cnf(23919,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,23917]) ).

cnf(23920,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23918]) ).

cnf(23921,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23919]) ).

cnf(23922,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23920]) ).

cnf(23923,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23921]) ).

cnf(23924,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23922]) ).

cnf(23925,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23923]) ).

cnf(23926,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23924]) ).

cnf(23927,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23925]) ).

cnf(23928,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23926]) ).

cnf(23929,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23927]) ).

cnf(23930,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23928]) ).

cnf(23931,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23929]) ).

cnf(23932,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23930]) ).

cnf(23933,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23931]) ).

cnf(23934,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,23932]) ).

cnf(23935,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,23933]) ).

cnf(23936,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23934]) ).

cnf(23937,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23935]) ).

cnf(23938,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23936]) ).

cnf(23939,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23937]) ).

cnf(23940,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23938]) ).

cnf(23941,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23939]) ).

cnf(23942,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23940]) ).

cnf(23943,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23941]) ).

cnf(23944,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23942]) ).

cnf(23945,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23943]) ).

cnf(23946,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23944]) ).

cnf(23947,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23945]) ).

cnf(23948,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23946]) ).

cnf(23949,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23947]) ).

cnf(23950,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,23948]) ).

cnf(23951,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,23949]) ).

cnf(23952,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23950]) ).

cnf(23953,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23951]) ).

cnf(23954,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23952]) ).

cnf(23955,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23953]) ).

cnf(23956,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23954]) ).

cnf(23957,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23955]) ).

cnf(23958,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23956]) ).

cnf(23959,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23957]) ).

cnf(23960,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23958]) ).

cnf(23961,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23959]) ).

cnf(23962,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23960]) ).

cnf(23963,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23961]) ).

cnf(23964,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23962]) ).

cnf(23965,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23963]) ).

cnf(23966,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,23964]) ).

cnf(23967,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,23965]) ).

cnf(23968,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23966]) ).

cnf(23969,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23967]) ).

cnf(23970,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23968]) ).

cnf(23971,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23969]) ).

cnf(23972,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23970]) ).

cnf(23973,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23971]) ).

cnf(23974,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23972]) ).

cnf(23975,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23973]) ).

cnf(23976,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23974]) ).

cnf(23977,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23975]) ).

cnf(23978,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23976]) ).

cnf(23979,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23977]) ).

cnf(23980,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23978]) ).

cnf(23981,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23979]) ).

cnf(23982,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,23980]) ).

cnf(23983,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,23981]) ).

cnf(23984,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23982]) ).

cnf(23985,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23983]) ).

cnf(23986,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23984]) ).

cnf(23987,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23985]) ).

cnf(23988,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23986]) ).

cnf(23989,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23987]) ).

cnf(23990,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,23988]) ).

cnf(23991,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,23989]) ).

cnf(23992,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23990]) ).

cnf(23993,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23991]) ).

cnf(23994,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,23992]) ).

cnf(23995,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,23993]) ).

cnf(23996,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23994]) ).

cnf(23997,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23995]) ).

cnf(23998,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,23996]) ).

cnf(23999,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,23997]) ).

cnf(24000,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,23998]) ).

cnf(24001,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,23999]) ).

cnf(24002,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24000]) ).

cnf(24003,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24001]) ).

cnf(24004,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24002]) ).

cnf(24005,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24003]) ).

cnf(24006,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24004]) ).

cnf(24007,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24005]) ).

cnf(24008,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24006]) ).

cnf(24009,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24007]) ).

cnf(24010,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24008]) ).

cnf(24011,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24009]) ).

cnf(24012,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24010]) ).

cnf(24013,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24011]) ).

cnf(24014,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,24012]) ).

cnf(24015,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,24013]) ).

cnf(24016,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24014]) ).

cnf(24017,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24015]) ).

cnf(24018,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24016]) ).

cnf(24019,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24017]) ).

cnf(24020,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24018]) ).

cnf(24021,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24019]) ).

cnf(24022,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24020]) ).

cnf(24023,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24021]) ).

cnf(24024,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24022]) ).

cnf(24025,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24023]) ).

cnf(24026,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24024]) ).

cnf(24027,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24025]) ).

cnf(24028,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24026]) ).

cnf(24029,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24027]) ).

cnf(24030,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,24028]) ).

cnf(24031,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,24029]) ).

cnf(24032,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24030]) ).

cnf(24033,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24031]) ).

cnf(24034,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24032]) ).

cnf(24035,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24033]) ).

cnf(24036,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24034]) ).

cnf(24037,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24035]) ).

cnf(24038,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24036]) ).

cnf(24039,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24037]) ).

cnf(24040,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24038]) ).

cnf(24041,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24039]) ).

cnf(24042,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24040]) ).

cnf(24043,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24041]) ).

cnf(24044,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24042]) ).

cnf(24045,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24043]) ).

cnf(24046,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,24044]) ).

cnf(24047,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,24045]) ).

cnf(24048,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24046]) ).

cnf(24049,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24047]) ).

cnf(24050,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24048]) ).

cnf(24051,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24049]) ).

cnf(24052,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24050]) ).

cnf(24053,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24051]) ).

cnf(24054,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24052]) ).

cnf(24055,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24053]) ).

cnf(24056,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24054]) ).

cnf(24057,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24055]) ).

cnf(24058,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24056]) ).

cnf(24059,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24057]) ).

cnf(24060,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24058]) ).

cnf(24061,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24059]) ).

cnf(24062,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,24060]) ).

cnf(24063,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,24061]) ).

cnf(24064,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24062]) ).

cnf(24065,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24063]) ).

cnf(24066,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24064]) ).

cnf(24067,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24065]) ).

cnf(24068,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24066]) ).

cnf(24069,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24067]) ).

cnf(24070,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24068]) ).

cnf(24071,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24069]) ).

cnf(24072,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24070]) ).

cnf(24073,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24071]) ).

cnf(24074,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24072]) ).

cnf(24075,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24073]) ).

cnf(24076,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24074]) ).

cnf(24077,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24075]) ).

cnf(24078,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,24076]) ).

cnf(24079,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,24077]) ).

cnf(24080,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24078]) ).

cnf(24081,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24079]) ).

cnf(24082,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24080]) ).

cnf(24083,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24081]) ).

cnf(24084,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24082]) ).

cnf(24085,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24083]) ).

cnf(24086,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24084]) ).

cnf(24087,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24085]) ).

cnf(24088,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24086]) ).

cnf(24089,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24087]) ).

cnf(24090,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24088]) ).

cnf(24091,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24089]) ).

cnf(24092,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24090]) ).

cnf(24093,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24091]) ).

cnf(24094,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[11,24092]) ).

cnf(24095,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[11,24093]) ).

cnf(24096,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24094]) ).

cnf(24097,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24095]) ).

cnf(24098,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24096]) ).

cnf(24099,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24097]) ).

cnf(24100,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24098]) ).

cnf(24101,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24099]) ).

cnf(24102,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24100]) ).

cnf(24103,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24101]) ).

cnf(24104,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24102]) ).

cnf(24105,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24103]) ).

cnf(24106,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24104]) ).

cnf(24107,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24105]) ).

cnf(24108,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24106]) ).

cnf(24109,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24107]) ).

cnf(24110,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,24108]) ).

cnf(24111,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,24109]) ).

cnf(24112,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24110]) ).

cnf(24113,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24111]) ).

cnf(24114,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24112]) ).

cnf(24115,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24113]) ).

cnf(24116,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24114]) ).

cnf(24117,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24115]) ).

cnf(24118,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24116]) ).

cnf(24119,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24117]) ).

cnf(24120,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24118]) ).

cnf(24121,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24119]) ).

cnf(24122,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24120]) ).

cnf(24123,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24121]) ).

cnf(24124,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24122]) ).

cnf(24125,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24123]) ).

cnf(24126,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,24124]) ).

cnf(24127,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,24125]) ).

cnf(24128,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24126]) ).

cnf(24129,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24127]) ).

cnf(24130,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24128]) ).

cnf(24131,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24129]) ).

cnf(24132,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24130]) ).

cnf(24133,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24131]) ).

cnf(24134,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24132]) ).

cnf(24135,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24133]) ).

cnf(24136,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24134]) ).

cnf(24137,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24135]) ).

cnf(24138,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24136]) ).

cnf(24139,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24137]) ).

cnf(24140,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24138]) ).

cnf(24141,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24139]) ).

cnf(24142,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,24140]) ).

cnf(24143,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,24141]) ).

cnf(24144,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24142]) ).

cnf(24145,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24143]) ).

cnf(24146,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24144]) ).

cnf(24147,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24145]) ).

cnf(24148,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24146]) ).

cnf(24149,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24147]) ).

cnf(24150,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24148]) ).

cnf(24151,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24149]) ).

cnf(24152,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24150]) ).

cnf(24153,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24151]) ).

cnf(24154,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24152]) ).

cnf(24155,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24153]) ).

cnf(24156,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24154]) ).

cnf(24157,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24155]) ).

cnf(24158,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,24156]) ).

cnf(24159,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,24157]) ).

cnf(24160,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24158]) ).

cnf(24161,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24159]) ).

cnf(24162,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24160]) ).

cnf(24163,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24161]) ).

cnf(24164,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24162]) ).

cnf(24165,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24163]) ).

cnf(24166,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24164]) ).

cnf(24167,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24165]) ).

cnf(24168,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24166]) ).

cnf(24169,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24167]) ).

cnf(24170,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24168]) ).

cnf(24171,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24169]) ).

cnf(24172,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24170]) ).

cnf(24173,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24171]) ).

cnf(24174,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,24172]) ).

cnf(24175,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,24173]) ).

cnf(24176,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24174]) ).

cnf(24177,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24175]) ).

cnf(24178,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24176]) ).

cnf(24179,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24177]) ).

cnf(24180,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24178]) ).

cnf(24181,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24179]) ).

cnf(24182,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24180]) ).

cnf(24183,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24181]) ).

cnf(24184,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24182]) ).

cnf(24185,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24183]) ).

cnf(24186,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24184]) ).

cnf(24187,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24185]) ).

cnf(24188,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24186]) ).

cnf(24189,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24187]) ).

cnf(24190,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,24188]) ).

cnf(24191,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,24189]) ).

cnf(24192,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24190]) ).

cnf(24193,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24191]) ).

cnf(24194,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24192]) ).

cnf(24195,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24193]) ).

cnf(24196,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24194]) ).

cnf(24197,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24195]) ).

cnf(24198,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24196]) ).

cnf(24199,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24197]) ).

cnf(24200,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24198]) ).

cnf(24201,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24199]) ).

cnf(24202,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24200]) ).

cnf(24203,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24201]) ).

cnf(24204,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24202]) ).

cnf(24205,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24203]) ).

cnf(24206,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,24204]) ).

cnf(24207,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,24205]) ).

cnf(24208,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24206]) ).

cnf(24209,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24207]) ).

cnf(24210,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24208]) ).

cnf(24211,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24209]) ).

cnf(24212,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24210]) ).

cnf(24213,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24211]) ).

cnf(24214,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24212]) ).

cnf(24215,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24213]) ).

cnf(24216,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24214]) ).

cnf(24217,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24215]) ).

cnf(24218,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24216]) ).

cnf(24219,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24217]) ).

cnf(24220,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24218]) ).

cnf(24221,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24219]) ).

cnf(24222,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,24220]) ).

cnf(24223,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,24221]) ).

cnf(24224,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24222]) ).

cnf(24225,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24223]) ).

cnf(24226,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24224]) ).

cnf(24227,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24225]) ).

cnf(24228,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24226]) ).

cnf(24229,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24227]) ).

cnf(24230,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24228]) ).

cnf(24231,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24229]) ).

cnf(24232,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24230]) ).

cnf(24233,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24231]) ).

cnf(24234,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24232]) ).

cnf(24235,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24233]) ).

cnf(24236,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24234]) ).

cnf(24237,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24235]) ).

cnf(24238,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,24236]) ).

cnf(24239,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,24237]) ).

cnf(24240,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24238]) ).

cnf(24241,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24239]) ).

cnf(24242,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24240]) ).

cnf(24243,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24241]) ).

cnf(24244,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24242]) ).

cnf(24245,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24243]) ).

cnf(24246,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24244]) ).

cnf(24247,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24245]) ).

cnf(24248,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24246]) ).

cnf(24249,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24247]) ).

cnf(24250,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24248]) ).

cnf(24251,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24249]) ).

cnf(24252,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24250]) ).

cnf(24253,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24251]) ).

cnf(24254,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,24252]) ).

cnf(24255,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,24253]) ).

cnf(24256,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24254]) ).

cnf(24257,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24255]) ).

cnf(24258,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24256]) ).

cnf(24259,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24257]) ).

cnf(24260,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24258]) ).

cnf(24261,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24259]) ).

cnf(24262,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24260]) ).

cnf(24263,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24261]) ).

cnf(24264,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24262]) ).

cnf(24265,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24263]) ).

cnf(24266,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24264]) ).

cnf(24267,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24265]) ).

cnf(24268,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24266]) ).

cnf(24269,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24267]) ).

cnf(24270,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,24268]) ).

cnf(24271,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,24269]) ).

cnf(24272,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24270]) ).

cnf(24273,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24271]) ).

cnf(24274,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24272]) ).

cnf(24275,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24273]) ).

cnf(24276,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24274]) ).

cnf(24277,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24275]) ).

cnf(24278,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24276]) ).

cnf(24279,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24277]) ).

cnf(24280,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24278]) ).

cnf(24281,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24279]) ).

cnf(24282,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24280]) ).

cnf(24283,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24281]) ).

cnf(24284,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24282]) ).

cnf(24285,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24283]) ).

cnf(24286,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,24284]) ).

cnf(24287,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,24285]) ).

cnf(24288,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24286]) ).

cnf(24289,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24287]) ).

cnf(24290,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24288]) ).

cnf(24291,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24289]) ).

cnf(24292,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24290]) ).

cnf(24293,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24291]) ).

cnf(24294,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24292]) ).

cnf(24295,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24293]) ).

cnf(24296,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24294]) ).

cnf(24297,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24295]) ).

cnf(24298,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24296]) ).

cnf(24299,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24297]) ).

cnf(24300,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24298]) ).

cnf(24301,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24299]) ).

cnf(24302,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,24300]) ).

cnf(24303,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,24301]) ).

cnf(24304,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24302]) ).

cnf(24305,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24303]) ).

cnf(24306,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24304]) ).

cnf(24307,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24305]) ).

cnf(24308,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24306]) ).

cnf(24309,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24307]) ).

cnf(24310,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24308]) ).

cnf(24311,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24309]) ).

cnf(24312,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24310]) ).

cnf(24313,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24311]) ).

cnf(24314,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24312]) ).

cnf(24315,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24313]) ).

cnf(24316,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24314]) ).

cnf(24317,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24315]) ).

cnf(24318,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,24316]) ).

cnf(24319,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,24317]) ).

cnf(24320,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24318]) ).

cnf(24321,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24319]) ).

cnf(24322,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24320]) ).

cnf(24323,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24321]) ).

cnf(24324,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24322]) ).

cnf(24325,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24323]) ).

cnf(24326,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24324]) ).

cnf(24327,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24325]) ).

cnf(24328,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24326]) ).

cnf(24329,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24327]) ).

cnf(24330,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24328]) ).

cnf(24331,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24329]) ).

cnf(24332,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24330]) ).

cnf(24333,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24331]) ).

cnf(24334,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,24332]) ).

cnf(24335,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,24333]) ).

cnf(24336,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24334]) ).

cnf(24337,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24335]) ).

cnf(24338,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24336]) ).

cnf(24339,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24337]) ).

cnf(24340,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24338]) ).

cnf(24341,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24339]) ).

cnf(24342,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24340]) ).

cnf(24343,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24341]) ).

cnf(24344,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24342]) ).

cnf(24345,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24343]) ).

cnf(24346,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24344]) ).

cnf(24347,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24345]) ).

cnf(24348,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24346]) ).

cnf(24349,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24347]) ).

cnf(24350,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,24348]) ).

cnf(24351,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,24349]) ).

cnf(24352,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24350]) ).

cnf(24353,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24351]) ).

cnf(24354,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24352]) ).

cnf(24355,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24353]) ).

cnf(24356,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24354]) ).

cnf(24357,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24355]) ).

cnf(24358,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24356]) ).

cnf(24359,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24357]) ).

cnf(24360,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24358]) ).

cnf(24361,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24359]) ).

cnf(24362,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24360]) ).

cnf(24363,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24361]) ).

cnf(24364,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24362]) ).

cnf(24365,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24363]) ).

cnf(24366,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,24364]) ).

cnf(24367,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,24365]) ).

cnf(24368,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24366]) ).

cnf(24369,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24367]) ).

cnf(24370,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24368]) ).

cnf(24371,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24369]) ).

cnf(24372,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24370]) ).

cnf(24373,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24371]) ).

cnf(24374,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24372]) ).

cnf(24375,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24373]) ).

cnf(24376,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24374]) ).

cnf(24377,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24375]) ).

cnf(24378,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24376]) ).

cnf(24379,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24377]) ).

cnf(24380,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24378]) ).

cnf(24381,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24379]) ).

cnf(24382,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,24380]) ).

cnf(24383,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,24381]) ).

cnf(24384,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24382]) ).

cnf(24385,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24383]) ).

cnf(24386,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24384]) ).

cnf(24387,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24385]) ).

cnf(24388,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24386]) ).

cnf(24389,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24387]) ).

cnf(24390,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24388]) ).

cnf(24391,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24389]) ).

cnf(24392,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24390]) ).

cnf(24393,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24391]) ).

cnf(24394,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24392]) ).

cnf(24395,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24393]) ).

cnf(24396,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24394]) ).

cnf(24397,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24395]) ).

cnf(24398,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,24396]) ).

cnf(24399,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,24397]) ).

cnf(24400,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24398]) ).

cnf(24401,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24399]) ).

cnf(24402,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24400]) ).

cnf(24403,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24401]) ).

cnf(24404,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24402]) ).

cnf(24405,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24403]) ).

cnf(24406,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24404]) ).

cnf(24407,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24405]) ).

cnf(24408,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24406]) ).

cnf(24409,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24407]) ).

cnf(24410,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24408]) ).

cnf(24411,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24409]) ).

cnf(24412,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24410]) ).

cnf(24413,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24411]) ).

cnf(24414,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,24412]) ).

cnf(24415,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,24413]) ).

cnf(24416,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24414]) ).

cnf(24417,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24415]) ).

cnf(24418,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24416]) ).

cnf(24419,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24417]) ).

cnf(24420,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24418]) ).

cnf(24421,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24419]) ).

cnf(24422,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24420]) ).

cnf(24423,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24421]) ).

cnf(24424,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24422]) ).

cnf(24425,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24423]) ).

cnf(24426,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24424]) ).

cnf(24427,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24425]) ).

cnf(24428,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24426]) ).

cnf(24429,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24427]) ).

cnf(24430,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,24428]) ).

cnf(24431,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,24429]) ).

cnf(24432,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24430]) ).

cnf(24433,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24431]) ).

cnf(24434,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24432]) ).

cnf(24435,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24433]) ).

cnf(24436,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24434]) ).

cnf(24437,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24435]) ).

cnf(24438,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24436]) ).

cnf(24439,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24437]) ).

cnf(24440,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24438]) ).

cnf(24441,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24439]) ).

cnf(24442,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24440]) ).

cnf(24443,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24441]) ).

cnf(24444,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24442]) ).

cnf(24445,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24443]) ).

cnf(24446,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,24444]) ).

cnf(24447,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,24445]) ).

cnf(24448,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24446]) ).

cnf(24449,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24447]) ).

cnf(24450,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24448]) ).

cnf(24451,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24449]) ).

cnf(24452,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24450]) ).

cnf(24453,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24451]) ).

cnf(24454,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24452]) ).

cnf(24455,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24453]) ).

cnf(24456,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24454]) ).

cnf(24457,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24455]) ).

cnf(24458,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24456]) ).

cnf(24459,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24457]) ).

cnf(24460,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24458]) ).

cnf(24461,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24459]) ).

cnf(24462,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,24460]) ).

cnf(24463,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,24461]) ).

cnf(24464,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24462]) ).

cnf(24465,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24463]) ).

cnf(24466,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24464]) ).

cnf(24467,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24465]) ).

cnf(24468,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24466]) ).

cnf(24469,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24467]) ).

cnf(24470,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24468]) ).

cnf(24471,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24469]) ).

cnf(24472,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24470]) ).

cnf(24473,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24471]) ).

cnf(24474,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24472]) ).

cnf(24475,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24473]) ).

cnf(24476,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24474]) ).

cnf(24477,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24475]) ).

cnf(24478,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,24476]) ).

cnf(24479,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,24477]) ).

cnf(24480,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24478]) ).

cnf(24481,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24479]) ).

cnf(24482,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24480]) ).

cnf(24483,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24481]) ).

cnf(24484,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24482]) ).

cnf(24485,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24483]) ).

cnf(24486,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24484]) ).

cnf(24487,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24485]) ).

cnf(24488,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24486]) ).

cnf(24489,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24487]) ).

cnf(24490,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24488]) ).

cnf(24491,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24489]) ).

cnf(24492,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24490]) ).

cnf(24493,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24491]) ).

cnf(24494,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,24492]) ).

cnf(24495,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,24493]) ).

cnf(24496,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24494]) ).

cnf(24497,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24495]) ).

cnf(24498,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24496]) ).

cnf(24499,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24497]) ).

cnf(24500,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24498]) ).

cnf(24501,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24499]) ).

cnf(24502,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24500]) ).

cnf(24503,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24501]) ).

cnf(24504,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24502]) ).

cnf(24505,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24503]) ).

cnf(24506,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24504]) ).

cnf(24507,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24505]) ).

cnf(24508,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24506]) ).

cnf(24509,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24507]) ).

cnf(24510,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,24508]) ).

cnf(24511,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,24509]) ).

cnf(24512,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24510]) ).

cnf(24513,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24511]) ).

cnf(24514,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24512]) ).

cnf(24515,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24513]) ).

cnf(24516,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24514]) ).

cnf(24517,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24515]) ).

cnf(24518,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24516]) ).

cnf(24519,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24517]) ).

cnf(24520,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24518]) ).

cnf(24521,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24519]) ).

cnf(24522,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24520]) ).

cnf(24523,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24521]) ).

cnf(24524,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24522]) ).

cnf(24525,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24523]) ).

cnf(24526,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,24524]) ).

cnf(24527,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,24525]) ).

cnf(24528,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24526]) ).

cnf(24529,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24527]) ).

cnf(24530,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24528]) ).

cnf(24531,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24529]) ).

cnf(24532,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24530]) ).

cnf(24533,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24531]) ).

cnf(24534,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24532]) ).

cnf(24535,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24533]) ).

cnf(24536,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24534]) ).

cnf(24537,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24535]) ).

cnf(24538,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24536]) ).

cnf(24539,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24537]) ).

cnf(24540,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24538]) ).

cnf(24541,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24539]) ).

cnf(24542,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,24540]) ).

cnf(24543,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,24541]) ).

cnf(24544,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24542]) ).

cnf(24545,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24543]) ).

cnf(24546,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24544]) ).

cnf(24547,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24545]) ).

cnf(24548,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24546]) ).

cnf(24549,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24547]) ).

cnf(24550,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24548]) ).

cnf(24551,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24549]) ).

cnf(24552,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24550]) ).

cnf(24553,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24551]) ).

cnf(24554,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24552]) ).

cnf(24555,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24553]) ).

cnf(24556,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24554]) ).

cnf(24557,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24555]) ).

cnf(24558,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,24556]) ).

cnf(24559,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,24557]) ).

cnf(24560,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24558]) ).

cnf(24561,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24559]) ).

cnf(24562,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24560]) ).

cnf(24563,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24561]) ).

cnf(24564,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24562]) ).

cnf(24565,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24563]) ).

cnf(24566,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24564]) ).

cnf(24567,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24565]) ).

cnf(24568,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24566]) ).

cnf(24569,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24567]) ).

cnf(24570,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24568]) ).

cnf(24571,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24569]) ).

cnf(24572,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24570]) ).

cnf(24573,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24571]) ).

cnf(24574,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,24572]) ).

cnf(24575,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,24573]) ).

cnf(24576,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24574]) ).

cnf(24577,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24575]) ).

cnf(24578,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24576]) ).

cnf(24579,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24577]) ).

cnf(24580,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24578]) ).

cnf(24581,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24579]) ).

cnf(24582,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24580]) ).

cnf(24583,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24581]) ).

cnf(24584,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24582]) ).

cnf(24585,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24583]) ).

cnf(24586,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24584]) ).

cnf(24587,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24585]) ).

cnf(24588,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24586]) ).

cnf(24589,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24587]) ).

cnf(24590,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,24588]) ).

cnf(24591,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,24589]) ).

cnf(24592,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24590]) ).

cnf(24593,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24591]) ).

cnf(24594,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24592]) ).

cnf(24595,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24593]) ).

cnf(24596,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24594]) ).

cnf(24597,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24595]) ).

cnf(24598,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24596]) ).

cnf(24599,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24597]) ).

cnf(24600,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24598]) ).

cnf(24601,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24599]) ).

cnf(24602,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24600]) ).

cnf(24603,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24601]) ).

cnf(24604,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24602]) ).

cnf(24605,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24603]) ).

cnf(24606,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[15,24604]) ).

cnf(24607,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[15,24605]) ).

cnf(24608,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24606]) ).

cnf(24609,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24607]) ).

cnf(24610,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24608]) ).

cnf(24611,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24609]) ).

cnf(24612,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24610]) ).

cnf(24613,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24611]) ).

cnf(24614,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24612]) ).

cnf(24615,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24613]) ).

cnf(24616,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24614]) ).

cnf(24617,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24615]) ).

cnf(24618,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24616]) ).

cnf(24619,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24617]) ).

cnf(24620,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24618]) ).

cnf(24621,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24619]) ).

cnf(24622,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,24620]) ).

cnf(24623,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,24621]) ).

cnf(24624,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24622]) ).

cnf(24625,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24623]) ).

cnf(24626,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24624]) ).

cnf(24627,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24625]) ).

cnf(24628,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24626]) ).

cnf(24629,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24627]) ).

cnf(24630,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24628]) ).

cnf(24631,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24629]) ).

cnf(24632,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24630]) ).

cnf(24633,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24631]) ).

cnf(24634,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24632]) ).

cnf(24635,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24633]) ).

cnf(24636,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24634]) ).

cnf(24637,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24635]) ).

cnf(24638,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,24636]) ).

cnf(24639,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,24637]) ).

cnf(24640,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24638]) ).

cnf(24641,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24639]) ).

cnf(24642,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24640]) ).

cnf(24643,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24641]) ).

cnf(24644,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24642]) ).

cnf(24645,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24643]) ).

cnf(24646,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24644]) ).

cnf(24647,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24645]) ).

cnf(24648,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24646]) ).

cnf(24649,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24647]) ).

cnf(24650,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24648]) ).

cnf(24651,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24649]) ).

cnf(24652,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24650]) ).

cnf(24653,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24651]) ).

cnf(24654,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,24652]) ).

cnf(24655,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,24653]) ).

cnf(24656,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24654]) ).

cnf(24657,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24655]) ).

cnf(24658,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24656]) ).

cnf(24659,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24657]) ).

cnf(24660,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24658]) ).

cnf(24661,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24659]) ).

cnf(24662,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24660]) ).

cnf(24663,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24661]) ).

cnf(24664,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24662]) ).

cnf(24665,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24663]) ).

cnf(24666,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24664]) ).

cnf(24667,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24665]) ).

cnf(24668,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24666]) ).

cnf(24669,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24667]) ).

cnf(24670,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,24668]) ).

cnf(24671,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,24669]) ).

cnf(24672,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24670]) ).

cnf(24673,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24671]) ).

cnf(24674,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24672]) ).

cnf(24675,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24673]) ).

cnf(24676,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24674]) ).

cnf(24677,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24675]) ).

cnf(24678,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24676]) ).

cnf(24679,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24677]) ).

cnf(24680,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24678]) ).

cnf(24681,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24679]) ).

cnf(24682,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24680]) ).

cnf(24683,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24681]) ).

cnf(24684,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24682]) ).

cnf(24685,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24683]) ).

cnf(24686,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,24684]) ).

cnf(24687,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,24685]) ).

cnf(24688,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24686]) ).

cnf(24689,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24687]) ).

cnf(24690,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24688]) ).

cnf(24691,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24689]) ).

cnf(24692,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24690]) ).

cnf(24693,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24691]) ).

cnf(24694,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24692]) ).

cnf(24695,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24693]) ).

cnf(24696,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24694]) ).

cnf(24697,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24695]) ).

cnf(24698,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24696]) ).

cnf(24699,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24697]) ).

cnf(24700,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24698]) ).

cnf(24701,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24699]) ).

cnf(24702,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,24700]) ).

cnf(24703,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,24701]) ).

cnf(24704,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24702]) ).

cnf(24705,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24703]) ).

cnf(24706,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24704]) ).

cnf(24707,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24705]) ).

cnf(24708,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24706]) ).

cnf(24709,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24707]) ).

cnf(24710,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24708]) ).

cnf(24711,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24709]) ).

cnf(24712,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24710]) ).

cnf(24713,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24711]) ).

cnf(24714,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24712]) ).

cnf(24715,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24713]) ).

cnf(24716,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24714]) ).

cnf(24717,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24715]) ).

cnf(24718,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,24716]) ).

cnf(24719,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,24717]) ).

cnf(24720,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24718]) ).

cnf(24721,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24719]) ).

cnf(24722,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24720]) ).

cnf(24723,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24721]) ).

cnf(24724,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24722]) ).

cnf(24725,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24723]) ).

cnf(24726,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24724]) ).

cnf(24727,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24725]) ).

cnf(24728,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24726]) ).

cnf(24729,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24727]) ).

cnf(24730,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24728]) ).

cnf(24731,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24729]) ).

cnf(24732,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24730]) ).

cnf(24733,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24731]) ).

cnf(24734,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,24732]) ).

cnf(24735,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,24733]) ).

cnf(24736,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24734]) ).

cnf(24737,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24735]) ).

cnf(24738,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24736]) ).

cnf(24739,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24737]) ).

cnf(24740,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24738]) ).

cnf(24741,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24739]) ).

cnf(24742,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24740]) ).

cnf(24743,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24741]) ).

cnf(24744,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24742]) ).

cnf(24745,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24743]) ).

cnf(24746,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24744]) ).

cnf(24747,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24745]) ).

cnf(24748,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24746]) ).

cnf(24749,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24747]) ).

cnf(24750,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,24748]) ).

cnf(24751,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,24749]) ).

cnf(24752,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24750]) ).

cnf(24753,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24751]) ).

cnf(24754,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24752]) ).

cnf(24755,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24753]) ).

cnf(24756,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24754]) ).

cnf(24757,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24755]) ).

cnf(24758,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24756]) ).

cnf(24759,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24757]) ).

cnf(24760,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24758]) ).

cnf(24761,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24759]) ).

cnf(24762,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24760]) ).

cnf(24763,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24761]) ).

cnf(24764,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24762]) ).

cnf(24765,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24763]) ).

cnf(24766,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,24764]) ).

cnf(24767,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,24765]) ).

cnf(24768,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24766]) ).

cnf(24769,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24767]) ).

cnf(24770,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24768]) ).

cnf(24771,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24769]) ).

cnf(24772,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24770]) ).

cnf(24773,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24771]) ).

cnf(24774,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24772]) ).

cnf(24775,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24773]) ).

cnf(24776,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24774]) ).

cnf(24777,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24775]) ).

cnf(24778,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24776]) ).

cnf(24779,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24777]) ).

cnf(24780,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24778]) ).

cnf(24781,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24779]) ).

cnf(24782,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,24780]) ).

cnf(24783,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,24781]) ).

cnf(24784,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24782]) ).

cnf(24785,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24783]) ).

cnf(24786,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24784]) ).

cnf(24787,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24785]) ).

cnf(24788,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24786]) ).

cnf(24789,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24787]) ).

cnf(24790,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24788]) ).

cnf(24791,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24789]) ).

cnf(24792,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24790]) ).

cnf(24793,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24791]) ).

cnf(24794,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24792]) ).

cnf(24795,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24793]) ).

cnf(24796,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24794]) ).

cnf(24797,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24795]) ).

cnf(24798,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,24796]) ).

cnf(24799,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,24797]) ).

cnf(24800,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24798]) ).

cnf(24801,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24799]) ).

cnf(24802,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24800]) ).

cnf(24803,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24801]) ).

cnf(24804,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24802]) ).

cnf(24805,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24803]) ).

cnf(24806,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24804]) ).

cnf(24807,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24805]) ).

cnf(24808,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24806]) ).

cnf(24809,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24807]) ).

cnf(24810,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24808]) ).

cnf(24811,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24809]) ).

cnf(24812,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24810]) ).

cnf(24813,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24811]) ).

cnf(24814,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,24812]) ).

cnf(24815,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,24813]) ).

cnf(24816,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24814]) ).

cnf(24817,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24815]) ).

cnf(24818,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24816]) ).

cnf(24819,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24817]) ).

cnf(24820,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24818]) ).

cnf(24821,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24819]) ).

cnf(24822,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24820]) ).

cnf(24823,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24821]) ).

cnf(24824,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24822]) ).

cnf(24825,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24823]) ).

cnf(24826,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24824]) ).

cnf(24827,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24825]) ).

cnf(24828,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24826]) ).

cnf(24829,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24827]) ).

cnf(24830,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,24828]) ).

cnf(24831,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,24829]) ).

cnf(24832,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24830]) ).

cnf(24833,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24831]) ).

cnf(24834,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24832]) ).

cnf(24835,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24833]) ).

cnf(24836,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24834]) ).

cnf(24837,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24835]) ).

cnf(24838,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24836]) ).

cnf(24839,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24837]) ).

cnf(24840,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24838]) ).

cnf(24841,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24839]) ).

cnf(24842,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24840]) ).

cnf(24843,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24841]) ).

cnf(24844,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24842]) ).

cnf(24845,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24843]) ).

cnf(24846,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,24844]) ).

cnf(24847,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,24845]) ).

cnf(24848,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24846]) ).

cnf(24849,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24847]) ).

cnf(24850,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24848]) ).

cnf(24851,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24849]) ).

cnf(24852,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24850]) ).

cnf(24853,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24851]) ).

cnf(24854,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24852]) ).

cnf(24855,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24853]) ).

cnf(24856,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24854]) ).

cnf(24857,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24855]) ).

cnf(24858,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24856]) ).

cnf(24859,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24857]) ).

cnf(24860,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24858]) ).

cnf(24861,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24859]) ).

cnf(24862,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,24860]) ).

cnf(24863,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,24861]) ).

cnf(24864,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24862]) ).

cnf(24865,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24863]) ).

cnf(24866,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24864]) ).

cnf(24867,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24865]) ).

cnf(24868,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24866]) ).

cnf(24869,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24867]) ).

cnf(24870,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24868]) ).

cnf(24871,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24869]) ).

cnf(24872,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24870]) ).

cnf(24873,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24871]) ).

cnf(24874,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24872]) ).

cnf(24875,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24873]) ).

cnf(24876,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24874]) ).

cnf(24877,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24875]) ).

cnf(24878,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,24876]) ).

cnf(24879,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,24877]) ).

cnf(24880,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24878]) ).

cnf(24881,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24879]) ).

cnf(24882,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24880]) ).

cnf(24883,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24881]) ).

cnf(24884,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24882]) ).

cnf(24885,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24883]) ).

cnf(24886,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24884]) ).

cnf(24887,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24885]) ).

cnf(24888,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24886]) ).

cnf(24889,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24887]) ).

cnf(24890,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24888]) ).

cnf(24891,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24889]) ).

cnf(24892,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24890]) ).

cnf(24893,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24891]) ).

cnf(24894,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,24892]) ).

cnf(24895,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,24893]) ).

cnf(24896,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24894]) ).

cnf(24897,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24895]) ).

cnf(24898,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24896]) ).

cnf(24899,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24897]) ).

cnf(24900,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24898]) ).

cnf(24901,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24899]) ).

cnf(24902,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24900]) ).

cnf(24903,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24901]) ).

cnf(24904,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24902]) ).

cnf(24905,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24903]) ).

cnf(24906,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24904]) ).

cnf(24907,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24905]) ).

cnf(24908,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24906]) ).

cnf(24909,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24907]) ).

cnf(24910,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,24908]) ).

cnf(24911,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,24909]) ).

cnf(24912,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24910]) ).

cnf(24913,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24911]) ).

cnf(24914,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24912]) ).

cnf(24915,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24913]) ).

cnf(24916,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24914]) ).

cnf(24917,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24915]) ).

cnf(24918,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24916]) ).

cnf(24919,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24917]) ).

cnf(24920,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24918]) ).

cnf(24921,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24919]) ).

cnf(24922,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24920]) ).

cnf(24923,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24921]) ).

cnf(24924,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24922]) ).

cnf(24925,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24923]) ).

cnf(24926,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,24924]) ).

cnf(24927,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,24925]) ).

cnf(24928,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24926]) ).

cnf(24929,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24927]) ).

cnf(24930,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24928]) ).

cnf(24931,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24929]) ).

cnf(24932,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24930]) ).

cnf(24933,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24931]) ).

cnf(24934,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24932]) ).

cnf(24935,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24933]) ).

cnf(24936,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24934]) ).

cnf(24937,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24935]) ).

cnf(24938,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24936]) ).

cnf(24939,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24937]) ).

cnf(24940,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24938]) ).

cnf(24941,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24939]) ).

cnf(24942,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,24940]) ).

cnf(24943,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,24941]) ).

cnf(24944,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24942]) ).

cnf(24945,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24943]) ).

cnf(24946,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24944]) ).

cnf(24947,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24945]) ).

cnf(24948,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24946]) ).

cnf(24949,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24947]) ).

cnf(24950,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24948]) ).

cnf(24951,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24949]) ).

cnf(24952,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24950]) ).

cnf(24953,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24951]) ).

cnf(24954,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24952]) ).

cnf(24955,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24953]) ).

cnf(24956,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24954]) ).

cnf(24957,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24955]) ).

cnf(24958,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,24956]) ).

cnf(24959,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,24957]) ).

cnf(24960,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24958]) ).

cnf(24961,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24959]) ).

cnf(24962,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24960]) ).

cnf(24963,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24961]) ).

cnf(24964,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24962]) ).

cnf(24965,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24963]) ).

cnf(24966,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24964]) ).

cnf(24967,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24965]) ).

cnf(24968,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24966]) ).

cnf(24969,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24967]) ).

cnf(24970,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24968]) ).

cnf(24971,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24969]) ).

cnf(24972,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24970]) ).

cnf(24973,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24971]) ).

cnf(24974,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,24972]) ).

cnf(24975,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,24973]) ).

cnf(24976,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24974]) ).

cnf(24977,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24975]) ).

cnf(24978,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24976]) ).

cnf(24979,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24977]) ).

cnf(24980,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24978]) ).

cnf(24981,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24979]) ).

cnf(24982,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24980]) ).

cnf(24983,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24981]) ).

cnf(24984,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24982]) ).

cnf(24985,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24983]) ).

cnf(24986,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24984]) ).

cnf(24987,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24985]) ).

cnf(24988,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24986]) ).

cnf(24989,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24987]) ).

cnf(24990,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,24988]) ).

cnf(24991,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,24989]) ).

cnf(24992,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24990]) ).

cnf(24993,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24991]) ).

cnf(24994,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,24992]) ).

cnf(24995,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,24993]) ).

cnf(24996,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24994]) ).

cnf(24997,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24995]) ).

cnf(24998,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,24996]) ).

cnf(24999,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,24997]) ).

cnf(25000,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,24998]) ).

cnf(25001,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,24999]) ).

cnf(25002,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25000]) ).

cnf(25003,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25001]) ).

cnf(25004,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25002]) ).

cnf(25005,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25003]) ).

cnf(25006,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,25004]) ).

cnf(25007,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,25005]) ).

cnf(25008,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25006]) ).

cnf(25009,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25007]) ).

cnf(25010,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25008]) ).

cnf(25011,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25009]) ).

cnf(25012,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25010]) ).

cnf(25013,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25011]) ).

cnf(25014,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25012]) ).

cnf(25015,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25013]) ).

cnf(25016,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25014]) ).

cnf(25017,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25015]) ).

cnf(25018,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25016]) ).

cnf(25019,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25017]) ).

cnf(25020,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25018]) ).

cnf(25021,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25019]) ).

cnf(25022,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,25020]) ).

cnf(25023,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,25021]) ).

cnf(25024,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25022]) ).

cnf(25025,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25023]) ).

cnf(25026,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25024]) ).

cnf(25027,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25025]) ).

cnf(25028,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25026]) ).

cnf(25029,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25027]) ).

cnf(25030,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25028]) ).

cnf(25031,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25029]) ).

cnf(25032,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25030]) ).

cnf(25033,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25031]) ).

cnf(25034,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25032]) ).

cnf(25035,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25033]) ).

cnf(25036,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25034]) ).

cnf(25037,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25035]) ).

cnf(25038,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,25036]) ).

cnf(25039,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,25037]) ).

cnf(25040,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25038]) ).

cnf(25041,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25039]) ).

cnf(25042,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25040]) ).

cnf(25043,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25041]) ).

cnf(25044,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25042]) ).

cnf(25045,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25043]) ).

cnf(25046,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25044]) ).

cnf(25047,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25045]) ).

cnf(25048,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25046]) ).

cnf(25049,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25047]) ).

cnf(25050,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25048]) ).

cnf(25051,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25049]) ).

cnf(25052,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25050]) ).

cnf(25053,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25051]) ).

cnf(25054,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,25052]) ).

cnf(25055,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,25053]) ).

cnf(25056,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25054]) ).

cnf(25057,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25055]) ).

cnf(25058,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25056]) ).

cnf(25059,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25057]) ).

cnf(25060,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25058]) ).

cnf(25061,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25059]) ).

cnf(25062,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25060]) ).

cnf(25063,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25061]) ).

cnf(25064,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25062]) ).

cnf(25065,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25063]) ).

cnf(25066,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25064]) ).

cnf(25067,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25065]) ).

cnf(25068,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25066]) ).

cnf(25069,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25067]) ).

cnf(25070,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,25068]) ).

cnf(25071,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,25069]) ).

cnf(25072,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25070]) ).

cnf(25073,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25071]) ).

cnf(25074,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25072]) ).

cnf(25075,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25073]) ).

cnf(25076,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25074]) ).

cnf(25077,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25075]) ).

cnf(25078,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25076]) ).

cnf(25079,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25077]) ).

cnf(25080,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25078]) ).

cnf(25081,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25079]) ).

cnf(25082,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25080]) ).

cnf(25083,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25081]) ).

cnf(25084,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25082]) ).

cnf(25085,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25083]) ).

cnf(25086,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,25084]) ).

cnf(25087,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,25085]) ).

cnf(25088,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25086]) ).

cnf(25089,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25087]) ).

cnf(25090,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25088]) ).

cnf(25091,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25089]) ).

cnf(25092,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25090]) ).

cnf(25093,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25091]) ).

cnf(25094,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25092]) ).

cnf(25095,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25093]) ).

cnf(25096,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25094]) ).

cnf(25097,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25095]) ).

cnf(25098,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25096]) ).

cnf(25099,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25097]) ).

cnf(25100,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25098]) ).

cnf(25101,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25099]) ).

cnf(25102,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,25100]) ).

cnf(25103,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,25101]) ).

cnf(25104,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25102]) ).

cnf(25105,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25103]) ).

cnf(25106,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25104]) ).

cnf(25107,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25105]) ).

cnf(25108,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25106]) ).

cnf(25109,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25107]) ).

cnf(25110,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25108]) ).

cnf(25111,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25109]) ).

cnf(25112,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25110]) ).

cnf(25113,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25111]) ).

cnf(25114,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25112]) ).

cnf(25115,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25113]) ).

cnf(25116,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25114]) ).

cnf(25117,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25115]) ).

cnf(25118,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[11,25116]) ).

cnf(25119,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[11,25117]) ).

cnf(25120,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25118]) ).

cnf(25121,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25119]) ).

cnf(25122,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25120]) ).

cnf(25123,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25121]) ).

cnf(25124,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25122]) ).

cnf(25125,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25123]) ).

cnf(25126,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25124]) ).

cnf(25127,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25125]) ).

cnf(25128,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25126]) ).

cnf(25129,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25127]) ).

cnf(25130,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25128]) ).

cnf(25131,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25129]) ).

cnf(25132,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25130]) ).

cnf(25133,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25131]) ).

cnf(25134,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,25132]) ).

cnf(25135,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,25133]) ).

cnf(25136,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25134]) ).

cnf(25137,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25135]) ).

cnf(25138,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25136]) ).

cnf(25139,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25137]) ).

cnf(25140,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25138]) ).

cnf(25141,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25139]) ).

cnf(25142,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25140]) ).

cnf(25143,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25141]) ).

cnf(25144,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25142]) ).

cnf(25145,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25143]) ).

cnf(25146,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25144]) ).

cnf(25147,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25145]) ).

cnf(25148,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25146]) ).

cnf(25149,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25147]) ).

cnf(25150,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,25148]) ).

cnf(25151,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,25149]) ).

cnf(25152,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25150]) ).

cnf(25153,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25151]) ).

cnf(25154,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25152]) ).

cnf(25155,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25153]) ).

cnf(25156,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25154]) ).

cnf(25157,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25155]) ).

cnf(25158,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25156]) ).

cnf(25159,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25157]) ).

cnf(25160,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25158]) ).

cnf(25161,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25159]) ).

cnf(25162,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25160]) ).

cnf(25163,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25161]) ).

cnf(25164,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25162]) ).

cnf(25165,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25163]) ).

cnf(25166,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,25164]) ).

cnf(25167,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,25165]) ).

cnf(25168,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25166]) ).

cnf(25169,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25167]) ).

cnf(25170,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25168]) ).

cnf(25171,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25169]) ).

cnf(25172,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25170]) ).

cnf(25173,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25171]) ).

cnf(25174,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25172]) ).

cnf(25175,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25173]) ).

cnf(25176,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25174]) ).

cnf(25177,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25175]) ).

cnf(25178,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25176]) ).

cnf(25179,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25177]) ).

cnf(25180,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25178]) ).

cnf(25181,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25179]) ).

cnf(25182,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,25180]) ).

cnf(25183,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,25181]) ).

cnf(25184,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25182]) ).

cnf(25185,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25183]) ).

cnf(25186,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25184]) ).

cnf(25187,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25185]) ).

cnf(25188,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25186]) ).

cnf(25189,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25187]) ).

cnf(25190,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25188]) ).

cnf(25191,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25189]) ).

cnf(25192,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25190]) ).

cnf(25193,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25191]) ).

cnf(25194,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25192]) ).

cnf(25195,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25193]) ).

cnf(25196,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25194]) ).

cnf(25197,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25195]) ).

cnf(25198,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,25196]) ).

cnf(25199,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,25197]) ).

cnf(25200,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25198]) ).

cnf(25201,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25199]) ).

cnf(25202,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25200]) ).

cnf(25203,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25201]) ).

cnf(25204,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25202]) ).

cnf(25205,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25203]) ).

cnf(25206,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25204]) ).

cnf(25207,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25205]) ).

cnf(25208,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25206]) ).

cnf(25209,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25207]) ).

cnf(25210,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25208]) ).

cnf(25211,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25209]) ).

cnf(25212,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25210]) ).

cnf(25213,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25211]) ).

cnf(25214,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,25212]) ).

cnf(25215,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,25213]) ).

cnf(25216,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25214]) ).

cnf(25217,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25215]) ).

cnf(25218,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25216]) ).

cnf(25219,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25217]) ).

cnf(25220,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25218]) ).

cnf(25221,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25219]) ).

cnf(25222,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25220]) ).

cnf(25223,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25221]) ).

cnf(25224,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25222]) ).

cnf(25225,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25223]) ).

cnf(25226,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25224]) ).

cnf(25227,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25225]) ).

cnf(25228,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25226]) ).

cnf(25229,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25227]) ).

cnf(25230,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,25228]) ).

cnf(25231,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,25229]) ).

cnf(25232,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25230]) ).

cnf(25233,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25231]) ).

cnf(25234,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25232]) ).

cnf(25235,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25233]) ).

cnf(25236,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25234]) ).

cnf(25237,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25235]) ).

cnf(25238,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25236]) ).

cnf(25239,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25237]) ).

cnf(25240,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25238]) ).

cnf(25241,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25239]) ).

cnf(25242,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25240]) ).

cnf(25243,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25241]) ).

cnf(25244,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25242]) ).

cnf(25245,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25243]) ).

cnf(25246,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,25244]) ).

cnf(25247,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,25245]) ).

cnf(25248,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25246]) ).

cnf(25249,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25247]) ).

cnf(25250,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25248]) ).

cnf(25251,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25249]) ).

cnf(25252,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25250]) ).

cnf(25253,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25251]) ).

cnf(25254,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25252]) ).

cnf(25255,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25253]) ).

cnf(25256,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25254]) ).

cnf(25257,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25255]) ).

cnf(25258,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25256]) ).

cnf(25259,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25257]) ).

cnf(25260,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25258]) ).

cnf(25261,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25259]) ).

cnf(25262,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,25260]) ).

cnf(25263,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,25261]) ).

cnf(25264,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25262]) ).

cnf(25265,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25263]) ).

cnf(25266,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25264]) ).

cnf(25267,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25265]) ).

cnf(25268,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25266]) ).

cnf(25269,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25267]) ).

cnf(25270,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25268]) ).

cnf(25271,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25269]) ).

cnf(25272,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25270]) ).

cnf(25273,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25271]) ).

cnf(25274,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25272]) ).

cnf(25275,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25273]) ).

cnf(25276,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25274]) ).

cnf(25277,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25275]) ).

cnf(25278,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,25276]) ).

cnf(25279,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,25277]) ).

cnf(25280,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25278]) ).

cnf(25281,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25279]) ).

cnf(25282,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25280]) ).

cnf(25283,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25281]) ).

cnf(25284,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25282]) ).

cnf(25285,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25283]) ).

cnf(25286,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25284]) ).

cnf(25287,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25285]) ).

cnf(25288,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25286]) ).

cnf(25289,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25287]) ).

cnf(25290,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25288]) ).

cnf(25291,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25289]) ).

cnf(25292,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25290]) ).

cnf(25293,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25291]) ).

cnf(25294,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,25292]) ).

cnf(25295,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,25293]) ).

cnf(25296,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25294]) ).

cnf(25297,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25295]) ).

cnf(25298,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25296]) ).

cnf(25299,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25297]) ).

cnf(25300,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25298]) ).

cnf(25301,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25299]) ).

cnf(25302,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25300]) ).

cnf(25303,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25301]) ).

cnf(25304,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25302]) ).

cnf(25305,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25303]) ).

cnf(25306,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25304]) ).

cnf(25307,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25305]) ).

cnf(25308,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25306]) ).

cnf(25309,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25307]) ).

cnf(25310,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,25308]) ).

cnf(25311,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,25309]) ).

cnf(25312,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25310]) ).

cnf(25313,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25311]) ).

cnf(25314,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25312]) ).

cnf(25315,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25313]) ).

cnf(25316,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25314]) ).

cnf(25317,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25315]) ).

cnf(25318,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25316]) ).

cnf(25319,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25317]) ).

cnf(25320,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25318]) ).

cnf(25321,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25319]) ).

cnf(25322,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25320]) ).

cnf(25323,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25321]) ).

cnf(25324,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25322]) ).

cnf(25325,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25323]) ).

cnf(25326,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,25324]) ).

cnf(25327,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,25325]) ).

cnf(25328,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25326]) ).

cnf(25329,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25327]) ).

cnf(25330,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25328]) ).

cnf(25331,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25329]) ).

cnf(25332,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25330]) ).

cnf(25333,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25331]) ).

cnf(25334,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25332]) ).

cnf(25335,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25333]) ).

cnf(25336,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25334]) ).

cnf(25337,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25335]) ).

cnf(25338,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25336]) ).

cnf(25339,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25337]) ).

cnf(25340,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25338]) ).

cnf(25341,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25339]) ).

cnf(25342,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,25340]) ).

cnf(25343,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,25341]) ).

cnf(25344,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25342]) ).

cnf(25345,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25343]) ).

cnf(25346,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25344]) ).

cnf(25347,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25345]) ).

cnf(25348,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25346]) ).

cnf(25349,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25347]) ).

cnf(25350,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25348]) ).

cnf(25351,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25349]) ).

cnf(25352,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25350]) ).

cnf(25353,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25351]) ).

cnf(25354,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25352]) ).

cnf(25355,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25353]) ).

cnf(25356,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25354]) ).

cnf(25357,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25355]) ).

cnf(25358,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,25356]) ).

cnf(25359,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,25357]) ).

cnf(25360,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25358]) ).

cnf(25361,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25359]) ).

cnf(25362,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25360]) ).

cnf(25363,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25361]) ).

cnf(25364,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25362]) ).

cnf(25365,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25363]) ).

cnf(25366,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25364]) ).

cnf(25367,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25365]) ).

cnf(25368,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25366]) ).

cnf(25369,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25367]) ).

cnf(25370,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25368]) ).

cnf(25371,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25369]) ).

cnf(25372,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25370]) ).

cnf(25373,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25371]) ).

cnf(25374,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,25372]) ).

cnf(25375,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,25373]) ).

cnf(25376,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25374]) ).

cnf(25377,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25375]) ).

cnf(25378,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25376]) ).

cnf(25379,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25377]) ).

cnf(25380,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25378]) ).

cnf(25381,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25379]) ).

cnf(25382,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25380]) ).

cnf(25383,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25381]) ).

cnf(25384,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25382]) ).

cnf(25385,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25383]) ).

cnf(25386,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25384]) ).

cnf(25387,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25385]) ).

cnf(25388,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25386]) ).

cnf(25389,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25387]) ).

cnf(25390,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,25388]) ).

cnf(25391,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,25389]) ).

cnf(25392,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25390]) ).

cnf(25393,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25391]) ).

cnf(25394,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25392]) ).

cnf(25395,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25393]) ).

cnf(25396,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25394]) ).

cnf(25397,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25395]) ).

cnf(25398,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25396]) ).

cnf(25399,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25397]) ).

cnf(25400,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25398]) ).

cnf(25401,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25399]) ).

cnf(25402,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25400]) ).

cnf(25403,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25401]) ).

cnf(25404,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25402]) ).

cnf(25405,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25403]) ).

cnf(25406,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,25404]) ).

cnf(25407,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,25405]) ).

cnf(25408,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25406]) ).

cnf(25409,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25407]) ).

cnf(25410,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25408]) ).

cnf(25411,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25409]) ).

cnf(25412,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25410]) ).

cnf(25413,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25411]) ).

cnf(25414,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25412]) ).

cnf(25415,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25413]) ).

cnf(25416,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25414]) ).

cnf(25417,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25415]) ).

cnf(25418,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25416]) ).

cnf(25419,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25417]) ).

cnf(25420,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25418]) ).

cnf(25421,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25419]) ).

cnf(25422,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,25420]) ).

cnf(25423,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,25421]) ).

cnf(25424,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25422]) ).

cnf(25425,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25423]) ).

cnf(25426,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25424]) ).

cnf(25427,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25425]) ).

cnf(25428,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25426]) ).

cnf(25429,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25427]) ).

cnf(25430,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25428]) ).

cnf(25431,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25429]) ).

cnf(25432,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25430]) ).

cnf(25433,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25431]) ).

cnf(25434,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25432]) ).

cnf(25435,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25433]) ).

cnf(25436,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25434]) ).

cnf(25437,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25435]) ).

cnf(25438,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,25436]) ).

cnf(25439,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,25437]) ).

cnf(25440,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25438]) ).

cnf(25441,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25439]) ).

cnf(25442,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25440]) ).

cnf(25443,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25441]) ).

cnf(25444,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25442]) ).

cnf(25445,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25443]) ).

cnf(25446,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25444]) ).

cnf(25447,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25445]) ).

cnf(25448,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25446]) ).

cnf(25449,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25447]) ).

cnf(25450,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25448]) ).

cnf(25451,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25449]) ).

cnf(25452,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25450]) ).

cnf(25453,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25451]) ).

cnf(25454,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,25452]) ).

cnf(25455,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,25453]) ).

cnf(25456,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25454]) ).

cnf(25457,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25455]) ).

cnf(25458,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25456]) ).

cnf(25459,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25457]) ).

cnf(25460,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25458]) ).

cnf(25461,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25459]) ).

cnf(25462,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25460]) ).

cnf(25463,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25461]) ).

cnf(25464,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25462]) ).

cnf(25465,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25463]) ).

cnf(25466,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25464]) ).

cnf(25467,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25465]) ).

cnf(25468,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25466]) ).

cnf(25469,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25467]) ).

cnf(25470,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,25468]) ).

cnf(25471,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,25469]) ).

cnf(25472,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25470]) ).

cnf(25473,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25471]) ).

cnf(25474,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25472]) ).

cnf(25475,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25473]) ).

cnf(25476,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25474]) ).

cnf(25477,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25475]) ).

cnf(25478,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25476]) ).

cnf(25479,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25477]) ).

cnf(25480,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25478]) ).

cnf(25481,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25479]) ).

cnf(25482,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25480]) ).

cnf(25483,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25481]) ).

cnf(25484,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25482]) ).

cnf(25485,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25483]) ).

cnf(25486,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,25484]) ).

cnf(25487,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,25485]) ).

cnf(25488,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25486]) ).

cnf(25489,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25487]) ).

cnf(25490,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25488]) ).

cnf(25491,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25489]) ).

cnf(25492,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25490]) ).

cnf(25493,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25491]) ).

cnf(25494,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25492]) ).

cnf(25495,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25493]) ).

cnf(25496,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25494]) ).

cnf(25497,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25495]) ).

cnf(25498,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25496]) ).

cnf(25499,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25497]) ).

cnf(25500,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25498]) ).

cnf(25501,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25499]) ).

cnf(25502,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,25500]) ).

cnf(25503,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,25501]) ).

cnf(25504,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25502]) ).

cnf(25505,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25503]) ).

cnf(25506,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25504]) ).

cnf(25507,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25505]) ).

cnf(25508,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25506]) ).

cnf(25509,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25507]) ).

cnf(25510,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25508]) ).

cnf(25511,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25509]) ).

cnf(25512,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25510]) ).

cnf(25513,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25511]) ).

cnf(25514,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25512]) ).

cnf(25515,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25513]) ).

cnf(25516,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25514]) ).

cnf(25517,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25515]) ).

cnf(25518,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,25516]) ).

cnf(25519,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,25517]) ).

cnf(25520,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25518]) ).

cnf(25521,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25519]) ).

cnf(25522,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25520]) ).

cnf(25523,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25521]) ).

cnf(25524,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25522]) ).

cnf(25525,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25523]) ).

cnf(25526,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25524]) ).

cnf(25527,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25525]) ).

cnf(25528,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25526]) ).

cnf(25529,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25527]) ).

cnf(25530,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25528]) ).

cnf(25531,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25529]) ).

cnf(25532,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25530]) ).

cnf(25533,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25531]) ).

cnf(25534,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,25532]) ).

cnf(25535,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,25533]) ).

cnf(25536,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25534]) ).

cnf(25537,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25535]) ).

cnf(25538,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25536]) ).

cnf(25539,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25537]) ).

cnf(25540,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25538]) ).

cnf(25541,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25539]) ).

cnf(25542,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25540]) ).

cnf(25543,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25541]) ).

cnf(25544,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25542]) ).

cnf(25545,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25543]) ).

cnf(25546,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25544]) ).

cnf(25547,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25545]) ).

cnf(25548,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25546]) ).

cnf(25549,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25547]) ).

cnf(25550,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,25548]) ).

cnf(25551,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,25549]) ).

cnf(25552,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25550]) ).

cnf(25553,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25551]) ).

cnf(25554,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25552]) ).

cnf(25555,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25553]) ).

cnf(25556,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25554]) ).

cnf(25557,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25555]) ).

cnf(25558,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25556]) ).

cnf(25559,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25557]) ).

cnf(25560,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25558]) ).

cnf(25561,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25559]) ).

cnf(25562,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25560]) ).

cnf(25563,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25561]) ).

cnf(25564,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25562]) ).

cnf(25565,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25563]) ).

cnf(25566,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,25564]) ).

cnf(25567,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,25565]) ).

cnf(25568,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25566]) ).

cnf(25569,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25567]) ).

cnf(25570,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25568]) ).

cnf(25571,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25569]) ).

cnf(25572,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25570]) ).

cnf(25573,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25571]) ).

cnf(25574,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25572]) ).

cnf(25575,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25573]) ).

cnf(25576,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25574]) ).

cnf(25577,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25575]) ).

cnf(25578,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25576]) ).

cnf(25579,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25577]) ).

cnf(25580,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25578]) ).

cnf(25581,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25579]) ).

cnf(25582,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,25580]) ).

cnf(25583,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,25581]) ).

cnf(25584,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25582]) ).

cnf(25585,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25583]) ).

cnf(25586,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25584]) ).

cnf(25587,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25585]) ).

cnf(25588,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25586]) ).

cnf(25589,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25587]) ).

cnf(25590,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25588]) ).

cnf(25591,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25589]) ).

cnf(25592,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25590]) ).

cnf(25593,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25591]) ).

cnf(25594,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25592]) ).

cnf(25595,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25593]) ).

cnf(25596,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25594]) ).

cnf(25597,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25595]) ).

cnf(25598,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,25596]) ).

cnf(25599,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,25597]) ).

cnf(25600,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25598]) ).

cnf(25601,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25599]) ).

cnf(25602,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25600]) ).

cnf(25603,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25601]) ).

cnf(25604,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25602]) ).

cnf(25605,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25603]) ).

cnf(25606,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25604]) ).

cnf(25607,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25605]) ).

cnf(25608,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25606]) ).

cnf(25609,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25607]) ).

cnf(25610,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25608]) ).

cnf(25611,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25609]) ).

cnf(25612,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25610]) ).

cnf(25613,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25611]) ).

cnf(25614,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,25612]) ).

cnf(25615,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,25613]) ).

cnf(25616,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25614]) ).

cnf(25617,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25615]) ).

cnf(25618,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25616]) ).

cnf(25619,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25617]) ).

cnf(25620,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25618]) ).

cnf(25621,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25619]) ).

cnf(25622,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25620]) ).

cnf(25623,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25621]) ).

cnf(25624,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25622]) ).

cnf(25625,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25623]) ).

cnf(25626,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25624]) ).

cnf(25627,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25625]) ).

cnf(25628,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25626]) ).

cnf(25629,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25627]) ).

cnf(25630,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[12,25628]) ).

cnf(25631,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[12,25629]) ).

cnf(25632,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25630]) ).

cnf(25633,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25631]) ).

cnf(25634,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25632]) ).

cnf(25635,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25633]) ).

cnf(25636,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25634]) ).

cnf(25637,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25635]) ).

cnf(25638,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25636]) ).

cnf(25639,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25637]) ).

cnf(25640,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25638]) ).

cnf(25641,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25639]) ).

cnf(25642,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25640]) ).

cnf(25643,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25641]) ).

cnf(25644,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25642]) ).

cnf(25645,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25643]) ).

cnf(25646,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,25644]) ).

cnf(25647,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,25645]) ).

cnf(25648,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25646]) ).

cnf(25649,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25647]) ).

cnf(25650,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25648]) ).

cnf(25651,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25649]) ).

cnf(25652,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25650]) ).

cnf(25653,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25651]) ).

cnf(25654,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25652]) ).

cnf(25655,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25653]) ).

cnf(25656,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25654]) ).

cnf(25657,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25655]) ).

cnf(25658,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25656]) ).

cnf(25659,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25657]) ).

cnf(25660,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25658]) ).

cnf(25661,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25659]) ).

cnf(25662,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,25660]) ).

cnf(25663,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,25661]) ).

cnf(25664,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25662]) ).

cnf(25665,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25663]) ).

cnf(25666,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25664]) ).

cnf(25667,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25665]) ).

cnf(25668,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25666]) ).

cnf(25669,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25667]) ).

cnf(25670,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25668]) ).

cnf(25671,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25669]) ).

cnf(25672,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25670]) ).

cnf(25673,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25671]) ).

cnf(25674,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25672]) ).

cnf(25675,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25673]) ).

cnf(25676,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25674]) ).

cnf(25677,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25675]) ).

cnf(25678,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,25676]) ).

cnf(25679,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,25677]) ).

cnf(25680,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25678]) ).

cnf(25681,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25679]) ).

cnf(25682,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25680]) ).

cnf(25683,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25681]) ).

cnf(25684,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25682]) ).

cnf(25685,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25683]) ).

cnf(25686,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25684]) ).

cnf(25687,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25685]) ).

cnf(25688,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25686]) ).

cnf(25689,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25687]) ).

cnf(25690,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25688]) ).

cnf(25691,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25689]) ).

cnf(25692,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25690]) ).

cnf(25693,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25691]) ).

cnf(25694,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,25692]) ).

cnf(25695,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,25693]) ).

cnf(25696,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25694]) ).

cnf(25697,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25695]) ).

cnf(25698,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25696]) ).

cnf(25699,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25697]) ).

cnf(25700,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25698]) ).

cnf(25701,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25699]) ).

cnf(25702,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25700]) ).

cnf(25703,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25701]) ).

cnf(25704,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25702]) ).

cnf(25705,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25703]) ).

cnf(25706,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25704]) ).

cnf(25707,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25705]) ).

cnf(25708,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25706]) ).

cnf(25709,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25707]) ).

cnf(25710,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,25708]) ).

cnf(25711,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,25709]) ).

cnf(25712,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25710]) ).

cnf(25713,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25711]) ).

cnf(25714,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25712]) ).

cnf(25715,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25713]) ).

cnf(25716,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25714]) ).

cnf(25717,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25715]) ).

cnf(25718,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25716]) ).

cnf(25719,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25717]) ).

cnf(25720,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25718]) ).

cnf(25721,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25719]) ).

cnf(25722,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25720]) ).

cnf(25723,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25721]) ).

cnf(25724,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25722]) ).

cnf(25725,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25723]) ).

cnf(25726,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,25724]) ).

cnf(25727,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,25725]) ).

cnf(25728,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25726]) ).

cnf(25729,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25727]) ).

cnf(25730,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25728]) ).

cnf(25731,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25729]) ).

cnf(25732,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25730]) ).

cnf(25733,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25731]) ).

cnf(25734,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25732]) ).

cnf(25735,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25733]) ).

cnf(25736,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25734]) ).

cnf(25737,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25735]) ).

cnf(25738,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25736]) ).

cnf(25739,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25737]) ).

cnf(25740,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25738]) ).

cnf(25741,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25739]) ).

cnf(25742,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,25740]) ).

cnf(25743,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,25741]) ).

cnf(25744,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25742]) ).

cnf(25745,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25743]) ).

cnf(25746,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25744]) ).

cnf(25747,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25745]) ).

cnf(25748,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25746]) ).

cnf(25749,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25747]) ).

cnf(25750,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25748]) ).

cnf(25751,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25749]) ).

cnf(25752,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25750]) ).

cnf(25753,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25751]) ).

cnf(25754,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25752]) ).

cnf(25755,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25753]) ).

cnf(25756,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25754]) ).

cnf(25757,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25755]) ).

cnf(25758,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,25756]) ).

cnf(25759,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,25757]) ).

cnf(25760,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25758]) ).

cnf(25761,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25759]) ).

cnf(25762,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25760]) ).

cnf(25763,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25761]) ).

cnf(25764,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25762]) ).

cnf(25765,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25763]) ).

cnf(25766,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25764]) ).

cnf(25767,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25765]) ).

cnf(25768,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25766]) ).

cnf(25769,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25767]) ).

cnf(25770,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25768]) ).

cnf(25771,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25769]) ).

cnf(25772,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25770]) ).

cnf(25773,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25771]) ).

cnf(25774,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,25772]) ).

cnf(25775,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,25773]) ).

cnf(25776,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25774]) ).

cnf(25777,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25775]) ).

cnf(25778,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25776]) ).

cnf(25779,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25777]) ).

cnf(25780,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25778]) ).

cnf(25781,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25779]) ).

cnf(25782,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25780]) ).

cnf(25783,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25781]) ).

cnf(25784,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25782]) ).

cnf(25785,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25783]) ).

cnf(25786,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25784]) ).

cnf(25787,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25785]) ).

cnf(25788,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25786]) ).

cnf(25789,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25787]) ).

cnf(25790,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,25788]) ).

cnf(25791,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,25789]) ).

cnf(25792,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25790]) ).

cnf(25793,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25791]) ).

cnf(25794,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25792]) ).

cnf(25795,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25793]) ).

cnf(25796,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25794]) ).

cnf(25797,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25795]) ).

cnf(25798,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25796]) ).

cnf(25799,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25797]) ).

cnf(25800,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25798]) ).

cnf(25801,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25799]) ).

cnf(25802,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25800]) ).

cnf(25803,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25801]) ).

cnf(25804,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25802]) ).

cnf(25805,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25803]) ).

cnf(25806,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,25804]) ).

cnf(25807,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,25805]) ).

cnf(25808,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25806]) ).

cnf(25809,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25807]) ).

cnf(25810,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25808]) ).

cnf(25811,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25809]) ).

cnf(25812,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25810]) ).

cnf(25813,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25811]) ).

cnf(25814,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25812]) ).

cnf(25815,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25813]) ).

cnf(25816,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25814]) ).

cnf(25817,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25815]) ).

cnf(25818,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25816]) ).

cnf(25819,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25817]) ).

cnf(25820,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25818]) ).

cnf(25821,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25819]) ).

cnf(25822,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,25820]) ).

cnf(25823,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,25821]) ).

cnf(25824,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25822]) ).

cnf(25825,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25823]) ).

cnf(25826,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25824]) ).

cnf(25827,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25825]) ).

cnf(25828,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25826]) ).

cnf(25829,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25827]) ).

cnf(25830,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25828]) ).

cnf(25831,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25829]) ).

cnf(25832,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25830]) ).

cnf(25833,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25831]) ).

cnf(25834,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25832]) ).

cnf(25835,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25833]) ).

cnf(25836,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25834]) ).

cnf(25837,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25835]) ).

cnf(25838,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,25836]) ).

cnf(25839,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,25837]) ).

cnf(25840,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25838]) ).

cnf(25841,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25839]) ).

cnf(25842,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25840]) ).

cnf(25843,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25841]) ).

cnf(25844,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25842]) ).

cnf(25845,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25843]) ).

cnf(25846,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25844]) ).

cnf(25847,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25845]) ).

cnf(25848,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25846]) ).

cnf(25849,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25847]) ).

cnf(25850,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25848]) ).

cnf(25851,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25849]) ).

cnf(25852,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25850]) ).

cnf(25853,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25851]) ).

cnf(25854,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,25852]) ).

cnf(25855,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,25853]) ).

cnf(25856,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25854]) ).

cnf(25857,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25855]) ).

cnf(25858,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25856]) ).

cnf(25859,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25857]) ).

cnf(25860,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25858]) ).

cnf(25861,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25859]) ).

cnf(25862,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25860]) ).

cnf(25863,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25861]) ).

cnf(25864,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25862]) ).

cnf(25865,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25863]) ).

cnf(25866,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25864]) ).

cnf(25867,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25865]) ).

cnf(25868,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25866]) ).

cnf(25869,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25867]) ).

cnf(25870,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,25868]) ).

cnf(25871,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,25869]) ).

cnf(25872,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25870]) ).

cnf(25873,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25871]) ).

cnf(25874,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25872]) ).

cnf(25875,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25873]) ).

cnf(25876,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25874]) ).

cnf(25877,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25875]) ).

cnf(25878,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25876]) ).

cnf(25879,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25877]) ).

cnf(25880,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25878]) ).

cnf(25881,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25879]) ).

cnf(25882,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25880]) ).

cnf(25883,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25881]) ).

cnf(25884,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25882]) ).

cnf(25885,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25883]) ).

cnf(25886,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,25884]) ).

cnf(25887,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,25885]) ).

cnf(25888,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25886]) ).

cnf(25889,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25887]) ).

cnf(25890,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25888]) ).

cnf(25891,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25889]) ).

cnf(25892,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25890]) ).

cnf(25893,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25891]) ).

cnf(25894,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25892]) ).

cnf(25895,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25893]) ).

cnf(25896,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25894]) ).

cnf(25897,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25895]) ).

cnf(25898,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25896]) ).

cnf(25899,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25897]) ).

cnf(25900,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25898]) ).

cnf(25901,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25899]) ).

cnf(25902,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,25900]) ).

cnf(25903,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,25901]) ).

cnf(25904,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25902]) ).

cnf(25905,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25903]) ).

cnf(25906,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25904]) ).

cnf(25907,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25905]) ).

cnf(25908,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25906]) ).

cnf(25909,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25907]) ).

cnf(25910,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25908]) ).

cnf(25911,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25909]) ).

cnf(25912,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25910]) ).

cnf(25913,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25911]) ).

cnf(25914,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25912]) ).

cnf(25915,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25913]) ).

cnf(25916,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25914]) ).

cnf(25917,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25915]) ).

cnf(25918,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,25916]) ).

cnf(25919,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,25917]) ).

cnf(25920,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25918]) ).

cnf(25921,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25919]) ).

cnf(25922,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25920]) ).

cnf(25923,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25921]) ).

cnf(25924,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25922]) ).

cnf(25925,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25923]) ).

cnf(25926,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25924]) ).

cnf(25927,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25925]) ).

cnf(25928,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25926]) ).

cnf(25929,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25927]) ).

cnf(25930,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25928]) ).

cnf(25931,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25929]) ).

cnf(25932,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25930]) ).

cnf(25933,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25931]) ).

cnf(25934,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,25932]) ).

cnf(25935,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,25933]) ).

cnf(25936,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25934]) ).

cnf(25937,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25935]) ).

cnf(25938,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25936]) ).

cnf(25939,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25937]) ).

cnf(25940,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25938]) ).

cnf(25941,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25939]) ).

cnf(25942,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25940]) ).

cnf(25943,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25941]) ).

cnf(25944,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25942]) ).

cnf(25945,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25943]) ).

cnf(25946,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25944]) ).

cnf(25947,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25945]) ).

cnf(25948,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25946]) ).

cnf(25949,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25947]) ).

cnf(25950,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,25948]) ).

cnf(25951,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,25949]) ).

cnf(25952,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25950]) ).

cnf(25953,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25951]) ).

cnf(25954,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25952]) ).

cnf(25955,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25953]) ).

cnf(25956,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25954]) ).

cnf(25957,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25955]) ).

cnf(25958,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25956]) ).

cnf(25959,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25957]) ).

cnf(25960,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25958]) ).

cnf(25961,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25959]) ).

cnf(25962,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25960]) ).

cnf(25963,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25961]) ).

cnf(25964,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25962]) ).

cnf(25965,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25963]) ).

cnf(25966,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,25964]) ).

cnf(25967,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,25965]) ).

cnf(25968,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25966]) ).

cnf(25969,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25967]) ).

cnf(25970,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25968]) ).

cnf(25971,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25969]) ).

cnf(25972,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25970]) ).

cnf(25973,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25971]) ).

cnf(25974,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25972]) ).

cnf(25975,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25973]) ).

cnf(25976,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25974]) ).

cnf(25977,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25975]) ).

cnf(25978,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25976]) ).

cnf(25979,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25977]) ).

cnf(25980,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25978]) ).

cnf(25981,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25979]) ).

cnf(25982,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,25980]) ).

cnf(25983,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,25981]) ).

cnf(25984,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25982]) ).

cnf(25985,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25983]) ).

cnf(25986,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25984]) ).

cnf(25987,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25985]) ).

cnf(25988,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25986]) ).

cnf(25989,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25987]) ).

cnf(25990,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,25988]) ).

cnf(25991,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,25989]) ).

cnf(25992,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25990]) ).

cnf(25993,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25991]) ).

cnf(25994,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,25992]) ).

cnf(25995,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,25993]) ).

cnf(25996,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25994]) ).

cnf(25997,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25995]) ).

cnf(25998,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,25996]) ).

cnf(25999,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,25997]) ).

cnf(26000,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,25998]) ).

cnf(26001,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,25999]) ).

cnf(26002,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26000]) ).

cnf(26003,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26001]) ).

cnf(26004,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26002]) ).

cnf(26005,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26003]) ).

cnf(26006,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26004]) ).

cnf(26007,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26005]) ).

cnf(26008,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26006]) ).

cnf(26009,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26007]) ).

cnf(26010,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26008]) ).

cnf(26011,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26009]) ).

cnf(26012,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26010]) ).

cnf(26013,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26011]) ).

cnf(26014,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,26012]) ).

cnf(26015,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,26013]) ).

cnf(26016,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26014]) ).

cnf(26017,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26015]) ).

cnf(26018,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26016]) ).

cnf(26019,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26017]) ).

cnf(26020,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26018]) ).

cnf(26021,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26019]) ).

cnf(26022,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26020]) ).

cnf(26023,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26021]) ).

cnf(26024,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26022]) ).

cnf(26025,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26023]) ).

cnf(26026,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26024]) ).

cnf(26027,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26025]) ).

cnf(26028,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26026]) ).

cnf(26029,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26027]) ).

cnf(26030,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,26028]) ).

cnf(26031,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,26029]) ).

cnf(26032,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26030]) ).

cnf(26033,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26031]) ).

cnf(26034,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26032]) ).

cnf(26035,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26033]) ).

cnf(26036,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26034]) ).

cnf(26037,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26035]) ).

cnf(26038,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26036]) ).

cnf(26039,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26037]) ).

cnf(26040,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26038]) ).

cnf(26041,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26039]) ).

cnf(26042,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26040]) ).

cnf(26043,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26041]) ).

cnf(26044,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26042]) ).

cnf(26045,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26043]) ).

cnf(26046,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,26044]) ).

cnf(26047,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,26045]) ).

cnf(26048,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26046]) ).

cnf(26049,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26047]) ).

cnf(26050,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26048]) ).

cnf(26051,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26049]) ).

cnf(26052,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26050]) ).

cnf(26053,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26051]) ).

cnf(26054,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26052]) ).

cnf(26055,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26053]) ).

cnf(26056,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26054]) ).

cnf(26057,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26055]) ).

cnf(26058,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26056]) ).

cnf(26059,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26057]) ).

cnf(26060,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26058]) ).

cnf(26061,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26059]) ).

cnf(26062,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,26060]) ).

cnf(26063,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,26061]) ).

cnf(26064,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26062]) ).

cnf(26065,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26063]) ).

cnf(26066,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26064]) ).

cnf(26067,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26065]) ).

cnf(26068,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26066]) ).

cnf(26069,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26067]) ).

cnf(26070,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26068]) ).

cnf(26071,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26069]) ).

cnf(26072,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26070]) ).

cnf(26073,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26071]) ).

cnf(26074,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26072]) ).

cnf(26075,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26073]) ).

cnf(26076,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26074]) ).

cnf(26077,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26075]) ).

cnf(26078,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,26076]) ).

cnf(26079,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,26077]) ).

cnf(26080,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26078]) ).

cnf(26081,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26079]) ).

cnf(26082,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26080]) ).

cnf(26083,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26081]) ).

cnf(26084,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26082]) ).

cnf(26085,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26083]) ).

cnf(26086,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26084]) ).

cnf(26087,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26085]) ).

cnf(26088,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26086]) ).

cnf(26089,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26087]) ).

cnf(26090,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26088]) ).

cnf(26091,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26089]) ).

cnf(26092,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26090]) ).

cnf(26093,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26091]) ).

cnf(26094,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,26092]) ).

cnf(26095,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,26093]) ).

cnf(26096,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26094]) ).

cnf(26097,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26095]) ).

cnf(26098,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26096]) ).

cnf(26099,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26097]) ).

cnf(26100,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26098]) ).

cnf(26101,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26099]) ).

cnf(26102,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26100]) ).

cnf(26103,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26101]) ).

cnf(26104,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26102]) ).

cnf(26105,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26103]) ).

cnf(26106,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26104]) ).

cnf(26107,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26105]) ).

cnf(26108,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26106]) ).

cnf(26109,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26107]) ).

cnf(26110,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,26108]) ).

cnf(26111,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,26109]) ).

cnf(26112,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26110]) ).

cnf(26113,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26111]) ).

cnf(26114,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26112]) ).

cnf(26115,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26113]) ).

cnf(26116,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26114]) ).

cnf(26117,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26115]) ).

cnf(26118,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26116]) ).

cnf(26119,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26117]) ).

cnf(26120,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26118]) ).

cnf(26121,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26119]) ).

cnf(26122,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26120]) ).

cnf(26123,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26121]) ).

cnf(26124,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26122]) ).

cnf(26125,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26123]) ).

cnf(26126,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,26124]) ).

cnf(26127,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,26125]) ).

cnf(26128,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26126]) ).

cnf(26129,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26127]) ).

cnf(26130,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26128]) ).

cnf(26131,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26129]) ).

cnf(26132,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26130]) ).

cnf(26133,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26131]) ).

cnf(26134,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26132]) ).

cnf(26135,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26133]) ).

cnf(26136,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26134]) ).

cnf(26137,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26135]) ).

cnf(26138,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26136]) ).

cnf(26139,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26137]) ).

cnf(26140,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26138]) ).

cnf(26141,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26139]) ).

cnf(26142,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[11,26140]) ).

cnf(26143,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[11,26141]) ).

cnf(26144,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26142]) ).

cnf(26145,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26143]) ).

cnf(26146,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26144]) ).

cnf(26147,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26145]) ).

cnf(26148,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26146]) ).

cnf(26149,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26147]) ).

cnf(26150,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26148]) ).

cnf(26151,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26149]) ).

cnf(26152,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26150]) ).

cnf(26153,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26151]) ).

cnf(26154,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26152]) ).

cnf(26155,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26153]) ).

cnf(26156,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26154]) ).

cnf(26157,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26155]) ).

cnf(26158,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,26156]) ).

cnf(26159,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,26157]) ).

cnf(26160,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26158]) ).

cnf(26161,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26159]) ).

cnf(26162,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26160]) ).

cnf(26163,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26161]) ).

cnf(26164,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26162]) ).

cnf(26165,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26163]) ).

cnf(26166,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26164]) ).

cnf(26167,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26165]) ).

cnf(26168,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26166]) ).

cnf(26169,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26167]) ).

cnf(26170,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26168]) ).

cnf(26171,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26169]) ).

cnf(26172,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26170]) ).

cnf(26173,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26171]) ).

cnf(26174,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,26172]) ).

cnf(26175,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,26173]) ).

cnf(26176,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26174]) ).

cnf(26177,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26175]) ).

cnf(26178,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26176]) ).

cnf(26179,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26177]) ).

cnf(26180,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26178]) ).

cnf(26181,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26179]) ).

cnf(26182,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26180]) ).

cnf(26183,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26181]) ).

cnf(26184,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26182]) ).

cnf(26185,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26183]) ).

cnf(26186,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26184]) ).

cnf(26187,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26185]) ).

cnf(26188,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26186]) ).

cnf(26189,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26187]) ).

cnf(26190,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,26188]) ).

cnf(26191,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,26189]) ).

cnf(26192,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26190]) ).

cnf(26193,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26191]) ).

cnf(26194,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26192]) ).

cnf(26195,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26193]) ).

cnf(26196,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26194]) ).

cnf(26197,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26195]) ).

cnf(26198,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26196]) ).

cnf(26199,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26197]) ).

cnf(26200,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26198]) ).

cnf(26201,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26199]) ).

cnf(26202,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26200]) ).

cnf(26203,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26201]) ).

cnf(26204,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26202]) ).

cnf(26205,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26203]) ).

cnf(26206,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,26204]) ).

cnf(26207,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,26205]) ).

cnf(26208,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26206]) ).

cnf(26209,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26207]) ).

cnf(26210,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26208]) ).

cnf(26211,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26209]) ).

cnf(26212,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26210]) ).

cnf(26213,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26211]) ).

cnf(26214,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26212]) ).

cnf(26215,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26213]) ).

cnf(26216,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26214]) ).

cnf(26217,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26215]) ).

cnf(26218,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26216]) ).

cnf(26219,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26217]) ).

cnf(26220,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26218]) ).

cnf(26221,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26219]) ).

cnf(26222,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,26220]) ).

cnf(26223,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,26221]) ).

cnf(26224,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26222]) ).

cnf(26225,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26223]) ).

cnf(26226,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26224]) ).

cnf(26227,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26225]) ).

cnf(26228,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26226]) ).

cnf(26229,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26227]) ).

cnf(26230,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26228]) ).

cnf(26231,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26229]) ).

cnf(26232,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26230]) ).

cnf(26233,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26231]) ).

cnf(26234,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26232]) ).

cnf(26235,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26233]) ).

cnf(26236,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26234]) ).

cnf(26237,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26235]) ).

cnf(26238,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,26236]) ).

cnf(26239,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,26237]) ).

cnf(26240,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26238]) ).

cnf(26241,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26239]) ).

cnf(26242,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26240]) ).

cnf(26243,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26241]) ).

cnf(26244,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26242]) ).

cnf(26245,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26243]) ).

cnf(26246,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26244]) ).

cnf(26247,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26245]) ).

cnf(26248,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26246]) ).

cnf(26249,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26247]) ).

cnf(26250,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26248]) ).

cnf(26251,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26249]) ).

cnf(26252,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26250]) ).

cnf(26253,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26251]) ).

cnf(26254,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,26252]) ).

cnf(26255,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,26253]) ).

cnf(26256,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26254]) ).

cnf(26257,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26255]) ).

cnf(26258,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26256]) ).

cnf(26259,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26257]) ).

cnf(26260,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26258]) ).

cnf(26261,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26259]) ).

cnf(26262,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26260]) ).

cnf(26263,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26261]) ).

cnf(26264,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26262]) ).

cnf(26265,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26263]) ).

cnf(26266,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26264]) ).

cnf(26267,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26265]) ).

cnf(26268,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26266]) ).

cnf(26269,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26267]) ).

cnf(26270,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,26268]) ).

cnf(26271,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,26269]) ).

cnf(26272,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26270]) ).

cnf(26273,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26271]) ).

cnf(26274,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26272]) ).

cnf(26275,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26273]) ).

cnf(26276,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26274]) ).

cnf(26277,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26275]) ).

cnf(26278,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26276]) ).

cnf(26279,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26277]) ).

cnf(26280,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26278]) ).

cnf(26281,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26279]) ).

cnf(26282,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26280]) ).

cnf(26283,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26281]) ).

cnf(26284,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26282]) ).

cnf(26285,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26283]) ).

cnf(26286,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,26284]) ).

cnf(26287,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,26285]) ).

cnf(26288,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26286]) ).

cnf(26289,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26287]) ).

cnf(26290,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26288]) ).

cnf(26291,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26289]) ).

cnf(26292,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26290]) ).

cnf(26293,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26291]) ).

cnf(26294,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26292]) ).

cnf(26295,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26293]) ).

cnf(26296,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26294]) ).

cnf(26297,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26295]) ).

cnf(26298,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26296]) ).

cnf(26299,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26297]) ).

cnf(26300,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26298]) ).

cnf(26301,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26299]) ).

cnf(26302,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,26300]) ).

cnf(26303,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,26301]) ).

cnf(26304,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26302]) ).

cnf(26305,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26303]) ).

cnf(26306,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26304]) ).

cnf(26307,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26305]) ).

cnf(26308,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26306]) ).

cnf(26309,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26307]) ).

cnf(26310,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26308]) ).

cnf(26311,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26309]) ).

cnf(26312,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26310]) ).

cnf(26313,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26311]) ).

cnf(26314,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26312]) ).

cnf(26315,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26313]) ).

cnf(26316,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26314]) ).

cnf(26317,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26315]) ).

cnf(26318,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,26316]) ).

cnf(26319,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,26317]) ).

cnf(26320,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26318]) ).

cnf(26321,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26319]) ).

cnf(26322,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26320]) ).

cnf(26323,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26321]) ).

cnf(26324,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26322]) ).

cnf(26325,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26323]) ).

cnf(26326,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26324]) ).

cnf(26327,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26325]) ).

cnf(26328,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26326]) ).

cnf(26329,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26327]) ).

cnf(26330,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26328]) ).

cnf(26331,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26329]) ).

cnf(26332,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26330]) ).

cnf(26333,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26331]) ).

cnf(26334,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,26332]) ).

cnf(26335,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,26333]) ).

cnf(26336,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26334]) ).

cnf(26337,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26335]) ).

cnf(26338,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26336]) ).

cnf(26339,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26337]) ).

cnf(26340,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26338]) ).

cnf(26341,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26339]) ).

cnf(26342,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26340]) ).

cnf(26343,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26341]) ).

cnf(26344,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26342]) ).

cnf(26345,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26343]) ).

cnf(26346,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26344]) ).

cnf(26347,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26345]) ).

cnf(26348,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26346]) ).

cnf(26349,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26347]) ).

cnf(26350,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,26348]) ).

cnf(26351,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,26349]) ).

cnf(26352,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26350]) ).

cnf(26353,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26351]) ).

cnf(26354,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26352]) ).

cnf(26355,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26353]) ).

cnf(26356,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26354]) ).

cnf(26357,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26355]) ).

cnf(26358,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26356]) ).

cnf(26359,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26357]) ).

cnf(26360,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26358]) ).

cnf(26361,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26359]) ).

cnf(26362,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26360]) ).

cnf(26363,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26361]) ).

cnf(26364,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26362]) ).

cnf(26365,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26363]) ).

cnf(26366,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,26364]) ).

cnf(26367,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,26365]) ).

cnf(26368,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26366]) ).

cnf(26369,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26367]) ).

cnf(26370,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26368]) ).

cnf(26371,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26369]) ).

cnf(26372,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26370]) ).

cnf(26373,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26371]) ).

cnf(26374,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26372]) ).

cnf(26375,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26373]) ).

cnf(26376,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26374]) ).

cnf(26377,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26375]) ).

cnf(26378,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26376]) ).

cnf(26379,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26377]) ).

cnf(26380,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26378]) ).

cnf(26381,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26379]) ).

cnf(26382,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,26380]) ).

cnf(26383,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,26381]) ).

cnf(26384,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26382]) ).

cnf(26385,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26383]) ).

cnf(26386,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26384]) ).

cnf(26387,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26385]) ).

cnf(26388,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26386]) ).

cnf(26389,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26387]) ).

cnf(26390,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26388]) ).

cnf(26391,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26389]) ).

cnf(26392,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26390]) ).

cnf(26393,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26391]) ).

cnf(26394,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26392]) ).

cnf(26395,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26393]) ).

cnf(26396,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26394]) ).

cnf(26397,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26395]) ).

cnf(26398,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,26396]) ).

cnf(26399,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,26397]) ).

cnf(26400,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26398]) ).

cnf(26401,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26399]) ).

cnf(26402,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26400]) ).

cnf(26403,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26401]) ).

cnf(26404,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26402]) ).

cnf(26405,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26403]) ).

cnf(26406,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26404]) ).

cnf(26407,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26405]) ).

cnf(26408,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26406]) ).

cnf(26409,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26407]) ).

cnf(26410,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26408]) ).

cnf(26411,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26409]) ).

cnf(26412,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26410]) ).

cnf(26413,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26411]) ).

cnf(26414,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,26412]) ).

cnf(26415,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,26413]) ).

cnf(26416,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26414]) ).

cnf(26417,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26415]) ).

cnf(26418,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26416]) ).

cnf(26419,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26417]) ).

cnf(26420,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26418]) ).

cnf(26421,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26419]) ).

cnf(26422,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26420]) ).

cnf(26423,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26421]) ).

cnf(26424,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26422]) ).

cnf(26425,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26423]) ).

cnf(26426,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26424]) ).

cnf(26427,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26425]) ).

cnf(26428,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26426]) ).

cnf(26429,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26427]) ).

cnf(26430,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,26428]) ).

cnf(26431,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,26429]) ).

cnf(26432,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26430]) ).

cnf(26433,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26431]) ).

cnf(26434,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26432]) ).

cnf(26435,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26433]) ).

cnf(26436,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26434]) ).

cnf(26437,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26435]) ).

cnf(26438,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26436]) ).

cnf(26439,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26437]) ).

cnf(26440,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26438]) ).

cnf(26441,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26439]) ).

cnf(26442,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26440]) ).

cnf(26443,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26441]) ).

cnf(26444,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26442]) ).

cnf(26445,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26443]) ).

cnf(26446,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,26444]) ).

cnf(26447,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,26445]) ).

cnf(26448,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26446]) ).

cnf(26449,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26447]) ).

cnf(26450,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26448]) ).

cnf(26451,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26449]) ).

cnf(26452,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26450]) ).

cnf(26453,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26451]) ).

cnf(26454,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26452]) ).

cnf(26455,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26453]) ).

cnf(26456,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26454]) ).

cnf(26457,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26455]) ).

cnf(26458,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26456]) ).

cnf(26459,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26457]) ).

cnf(26460,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26458]) ).

cnf(26461,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26459]) ).

cnf(26462,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,26460]) ).

cnf(26463,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,26461]) ).

cnf(26464,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26462]) ).

cnf(26465,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26463]) ).

cnf(26466,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26464]) ).

cnf(26467,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26465]) ).

cnf(26468,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26466]) ).

cnf(26469,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26467]) ).

cnf(26470,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26468]) ).

cnf(26471,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26469]) ).

cnf(26472,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26470]) ).

cnf(26473,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26471]) ).

cnf(26474,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26472]) ).

cnf(26475,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26473]) ).

cnf(26476,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26474]) ).

cnf(26477,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26475]) ).

cnf(26478,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,26476]) ).

cnf(26479,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,26477]) ).

cnf(26480,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26478]) ).

cnf(26481,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26479]) ).

cnf(26482,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26480]) ).

cnf(26483,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26481]) ).

cnf(26484,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26482]) ).

cnf(26485,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26483]) ).

cnf(26486,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26484]) ).

cnf(26487,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26485]) ).

cnf(26488,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26486]) ).

cnf(26489,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26487]) ).

cnf(26490,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26488]) ).

cnf(26491,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26489]) ).

cnf(26492,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26490]) ).

cnf(26493,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26491]) ).

cnf(26494,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,26492]) ).

cnf(26495,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,26493]) ).

cnf(26496,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26494]) ).

cnf(26497,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26495]) ).

cnf(26498,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26496]) ).

cnf(26499,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26497]) ).

cnf(26500,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26498]) ).

cnf(26501,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26499]) ).

cnf(26502,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26500]) ).

cnf(26503,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26501]) ).

cnf(26504,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26502]) ).

cnf(26505,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26503]) ).

cnf(26506,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26504]) ).

cnf(26507,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26505]) ).

cnf(26508,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26506]) ).

cnf(26509,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26507]) ).

cnf(26510,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,26508]) ).

cnf(26511,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,26509]) ).

cnf(26512,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26510]) ).

cnf(26513,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26511]) ).

cnf(26514,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26512]) ).

cnf(26515,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26513]) ).

cnf(26516,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26514]) ).

cnf(26517,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26515]) ).

cnf(26518,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26516]) ).

cnf(26519,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26517]) ).

cnf(26520,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26518]) ).

cnf(26521,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26519]) ).

cnf(26522,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26520]) ).

cnf(26523,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26521]) ).

cnf(26524,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26522]) ).

cnf(26525,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26523]) ).

cnf(26526,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,26524]) ).

cnf(26527,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,26525]) ).

cnf(26528,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26526]) ).

cnf(26529,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26527]) ).

cnf(26530,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26528]) ).

cnf(26531,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26529]) ).

cnf(26532,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26530]) ).

cnf(26533,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26531]) ).

cnf(26534,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26532]) ).

cnf(26535,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26533]) ).

cnf(26536,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26534]) ).

cnf(26537,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26535]) ).

cnf(26538,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26536]) ).

cnf(26539,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26537]) ).

cnf(26540,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26538]) ).

cnf(26541,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26539]) ).

cnf(26542,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,26540]) ).

cnf(26543,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,26541]) ).

cnf(26544,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26542]) ).

cnf(26545,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26543]) ).

cnf(26546,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26544]) ).

cnf(26547,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26545]) ).

cnf(26548,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26546]) ).

cnf(26549,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26547]) ).

cnf(26550,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26548]) ).

cnf(26551,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26549]) ).

cnf(26552,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26550]) ).

cnf(26553,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26551]) ).

cnf(26554,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26552]) ).

cnf(26555,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26553]) ).

cnf(26556,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26554]) ).

cnf(26557,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26555]) ).

cnf(26558,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,26556]) ).

cnf(26559,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,26557]) ).

cnf(26560,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26558]) ).

cnf(26561,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26559]) ).

cnf(26562,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26560]) ).

cnf(26563,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26561]) ).

cnf(26564,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26562]) ).

cnf(26565,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26563]) ).

cnf(26566,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26564]) ).

cnf(26567,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26565]) ).

cnf(26568,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26566]) ).

cnf(26569,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26567]) ).

cnf(26570,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26568]) ).

cnf(26571,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26569]) ).

cnf(26572,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26570]) ).

cnf(26573,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26571]) ).

cnf(26574,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,26572]) ).

cnf(26575,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,26573]) ).

cnf(26576,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26574]) ).

cnf(26577,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26575]) ).

cnf(26578,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26576]) ).

cnf(26579,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26577]) ).

cnf(26580,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26578]) ).

cnf(26581,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26579]) ).

cnf(26582,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26580]) ).

cnf(26583,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26581]) ).

cnf(26584,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26582]) ).

cnf(26585,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26583]) ).

cnf(26586,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26584]) ).

cnf(26587,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26585]) ).

cnf(26588,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26586]) ).

cnf(26589,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26587]) ).

cnf(26590,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,26588]) ).

cnf(26591,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,26589]) ).

cnf(26592,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26590]) ).

cnf(26593,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26591]) ).

cnf(26594,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26592]) ).

cnf(26595,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26593]) ).

cnf(26596,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26594]) ).

cnf(26597,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26595]) ).

cnf(26598,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26596]) ).

cnf(26599,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26597]) ).

cnf(26600,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26598]) ).

cnf(26601,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26599]) ).

cnf(26602,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26600]) ).

cnf(26603,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26601]) ).

cnf(26604,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26602]) ).

cnf(26605,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26603]) ).

cnf(26606,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,26604]) ).

cnf(26607,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,26605]) ).

cnf(26608,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26606]) ).

cnf(26609,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26607]) ).

cnf(26610,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26608]) ).

cnf(26611,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26609]) ).

cnf(26612,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26610]) ).

cnf(26613,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26611]) ).

cnf(26614,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26612]) ).

cnf(26615,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26613]) ).

cnf(26616,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26614]) ).

cnf(26617,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26615]) ).

cnf(26618,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26616]) ).

cnf(26619,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26617]) ).

cnf(26620,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26618]) ).

cnf(26621,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26619]) ).

cnf(26622,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,26620]) ).

cnf(26623,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,26621]) ).

cnf(26624,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26622]) ).

cnf(26625,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26623]) ).

cnf(26626,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26624]) ).

cnf(26627,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26625]) ).

cnf(26628,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26626]) ).

cnf(26629,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26627]) ).

cnf(26630,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26628]) ).

cnf(26631,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26629]) ).

cnf(26632,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26630]) ).

cnf(26633,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26631]) ).

cnf(26634,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26632]) ).

cnf(26635,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26633]) ).

cnf(26636,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26634]) ).

cnf(26637,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26635]) ).

cnf(26638,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,26636]) ).

cnf(26639,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,26637]) ).

cnf(26640,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26638]) ).

cnf(26641,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26639]) ).

cnf(26642,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26640]) ).

cnf(26643,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26641]) ).

cnf(26644,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26642]) ).

cnf(26645,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26643]) ).

cnf(26646,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26644]) ).

cnf(26647,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26645]) ).

cnf(26648,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26646]) ).

cnf(26649,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26647]) ).

cnf(26650,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26648]) ).

cnf(26651,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26649]) ).

cnf(26652,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26650]) ).

cnf(26653,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26651]) ).

cnf(26654,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[13,26652]) ).

cnf(26655,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[13,26653]) ).

cnf(26656,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26654]) ).

cnf(26657,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26655]) ).

cnf(26658,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26656]) ).

cnf(26659,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26657]) ).

cnf(26660,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26658]) ).

cnf(26661,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26659]) ).

cnf(26662,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26660]) ).

cnf(26663,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26661]) ).

cnf(26664,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26662]) ).

cnf(26665,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26663]) ).

cnf(26666,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26664]) ).

cnf(26667,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26665]) ).

cnf(26668,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26666]) ).

cnf(26669,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26667]) ).

cnf(26670,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,26668]) ).

cnf(26671,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,26669]) ).

cnf(26672,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26670]) ).

cnf(26673,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26671]) ).

cnf(26674,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26672]) ).

cnf(26675,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26673]) ).

cnf(26676,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26674]) ).

cnf(26677,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26675]) ).

cnf(26678,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26676]) ).

cnf(26679,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26677]) ).

cnf(26680,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26678]) ).

cnf(26681,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26679]) ).

cnf(26682,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26680]) ).

cnf(26683,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26681]) ).

cnf(26684,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26682]) ).

cnf(26685,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26683]) ).

cnf(26686,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,26684]) ).

cnf(26687,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,26685]) ).

cnf(26688,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26686]) ).

cnf(26689,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26687]) ).

cnf(26690,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26688]) ).

cnf(26691,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26689]) ).

cnf(26692,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26690]) ).

cnf(26693,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26691]) ).

cnf(26694,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26692]) ).

cnf(26695,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26693]) ).

cnf(26696,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26694]) ).

cnf(26697,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26695]) ).

cnf(26698,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26696]) ).

cnf(26699,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26697]) ).

cnf(26700,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26698]) ).

cnf(26701,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26699]) ).

cnf(26702,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,26700]) ).

cnf(26703,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,26701]) ).

cnf(26704,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26702]) ).

cnf(26705,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26703]) ).

cnf(26706,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26704]) ).

cnf(26707,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26705]) ).

cnf(26708,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26706]) ).

cnf(26709,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26707]) ).

cnf(26710,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26708]) ).

cnf(26711,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26709]) ).

cnf(26712,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26710]) ).

cnf(26713,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26711]) ).

cnf(26714,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26712]) ).

cnf(26715,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26713]) ).

cnf(26716,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26714]) ).

cnf(26717,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26715]) ).

cnf(26718,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,26716]) ).

cnf(26719,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,26717]) ).

cnf(26720,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26718]) ).

cnf(26721,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26719]) ).

cnf(26722,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26720]) ).

cnf(26723,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26721]) ).

cnf(26724,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26722]) ).

cnf(26725,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26723]) ).

cnf(26726,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26724]) ).

cnf(26727,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26725]) ).

cnf(26728,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26726]) ).

cnf(26729,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26727]) ).

cnf(26730,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26728]) ).

cnf(26731,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26729]) ).

cnf(26732,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26730]) ).

cnf(26733,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26731]) ).

cnf(26734,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,26732]) ).

cnf(26735,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,26733]) ).

cnf(26736,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26734]) ).

cnf(26737,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26735]) ).

cnf(26738,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26736]) ).

cnf(26739,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26737]) ).

cnf(26740,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26738]) ).

cnf(26741,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26739]) ).

cnf(26742,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26740]) ).

cnf(26743,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26741]) ).

cnf(26744,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26742]) ).

cnf(26745,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26743]) ).

cnf(26746,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26744]) ).

cnf(26747,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26745]) ).

cnf(26748,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26746]) ).

cnf(26749,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26747]) ).

cnf(26750,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,26748]) ).

cnf(26751,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,26749]) ).

cnf(26752,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26750]) ).

cnf(26753,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26751]) ).

cnf(26754,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26752]) ).

cnf(26755,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26753]) ).

cnf(26756,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26754]) ).

cnf(26757,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26755]) ).

cnf(26758,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26756]) ).

cnf(26759,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26757]) ).

cnf(26760,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26758]) ).

cnf(26761,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26759]) ).

cnf(26762,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26760]) ).

cnf(26763,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26761]) ).

cnf(26764,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26762]) ).

cnf(26765,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26763]) ).

cnf(26766,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,26764]) ).

cnf(26767,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,26765]) ).

cnf(26768,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26766]) ).

cnf(26769,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26767]) ).

cnf(26770,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26768]) ).

cnf(26771,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26769]) ).

cnf(26772,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26770]) ).

cnf(26773,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26771]) ).

cnf(26774,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26772]) ).

cnf(26775,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26773]) ).

cnf(26776,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26774]) ).

cnf(26777,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26775]) ).

cnf(26778,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26776]) ).

cnf(26779,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26777]) ).

cnf(26780,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26778]) ).

cnf(26781,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26779]) ).

cnf(26782,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,26780]) ).

cnf(26783,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,26781]) ).

cnf(26784,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26782]) ).

cnf(26785,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26783]) ).

cnf(26786,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26784]) ).

cnf(26787,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26785]) ).

cnf(26788,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26786]) ).

cnf(26789,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26787]) ).

cnf(26790,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26788]) ).

cnf(26791,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26789]) ).

cnf(26792,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26790]) ).

cnf(26793,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26791]) ).

cnf(26794,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26792]) ).

cnf(26795,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26793]) ).

cnf(26796,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26794]) ).

cnf(26797,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26795]) ).

cnf(26798,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,26796]) ).

cnf(26799,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,26797]) ).

cnf(26800,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26798]) ).

cnf(26801,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26799]) ).

cnf(26802,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26800]) ).

cnf(26803,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26801]) ).

cnf(26804,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26802]) ).

cnf(26805,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26803]) ).

cnf(26806,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26804]) ).

cnf(26807,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26805]) ).

cnf(26808,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26806]) ).

cnf(26809,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26807]) ).

cnf(26810,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26808]) ).

cnf(26811,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26809]) ).

cnf(26812,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26810]) ).

cnf(26813,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26811]) ).

cnf(26814,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,26812]) ).

cnf(26815,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,26813]) ).

cnf(26816,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26814]) ).

cnf(26817,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26815]) ).

cnf(26818,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26816]) ).

cnf(26819,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26817]) ).

cnf(26820,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26818]) ).

cnf(26821,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26819]) ).

cnf(26822,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26820]) ).

cnf(26823,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26821]) ).

cnf(26824,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26822]) ).

cnf(26825,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26823]) ).

cnf(26826,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26824]) ).

cnf(26827,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26825]) ).

cnf(26828,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26826]) ).

cnf(26829,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26827]) ).

cnf(26830,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,26828]) ).

cnf(26831,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,26829]) ).

cnf(26832,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26830]) ).

cnf(26833,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26831]) ).

cnf(26834,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26832]) ).

cnf(26835,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26833]) ).

cnf(26836,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26834]) ).

cnf(26837,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26835]) ).

cnf(26838,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26836]) ).

cnf(26839,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26837]) ).

cnf(26840,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26838]) ).

cnf(26841,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26839]) ).

cnf(26842,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26840]) ).

cnf(26843,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26841]) ).

cnf(26844,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26842]) ).

cnf(26845,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26843]) ).

cnf(26846,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,26844]) ).

cnf(26847,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,26845]) ).

cnf(26848,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26846]) ).

cnf(26849,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26847]) ).

cnf(26850,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26848]) ).

cnf(26851,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26849]) ).

cnf(26852,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26850]) ).

cnf(26853,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26851]) ).

cnf(26854,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26852]) ).

cnf(26855,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26853]) ).

cnf(26856,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26854]) ).

cnf(26857,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26855]) ).

cnf(26858,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26856]) ).

cnf(26859,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26857]) ).

cnf(26860,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26858]) ).

cnf(26861,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26859]) ).

cnf(26862,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,26860]) ).

cnf(26863,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,26861]) ).

cnf(26864,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26862]) ).

cnf(26865,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26863]) ).

cnf(26866,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26864]) ).

cnf(26867,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26865]) ).

cnf(26868,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26866]) ).

cnf(26869,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26867]) ).

cnf(26870,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26868]) ).

cnf(26871,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26869]) ).

cnf(26872,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26870]) ).

cnf(26873,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26871]) ).

cnf(26874,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26872]) ).

cnf(26875,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26873]) ).

cnf(26876,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26874]) ).

cnf(26877,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26875]) ).

cnf(26878,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,26876]) ).

cnf(26879,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,26877]) ).

cnf(26880,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26878]) ).

cnf(26881,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26879]) ).

cnf(26882,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26880]) ).

cnf(26883,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26881]) ).

cnf(26884,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26882]) ).

cnf(26885,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26883]) ).

cnf(26886,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26884]) ).

cnf(26887,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26885]) ).

cnf(26888,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26886]) ).

cnf(26889,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26887]) ).

cnf(26890,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26888]) ).

cnf(26891,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26889]) ).

cnf(26892,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26890]) ).

cnf(26893,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26891]) ).

cnf(26894,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,26892]) ).

cnf(26895,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,26893]) ).

cnf(26896,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26894]) ).

cnf(26897,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26895]) ).

cnf(26898,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26896]) ).

cnf(26899,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26897]) ).

cnf(26900,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26898]) ).

cnf(26901,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26899]) ).

cnf(26902,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26900]) ).

cnf(26903,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26901]) ).

cnf(26904,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26902]) ).

cnf(26905,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26903]) ).

cnf(26906,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26904]) ).

cnf(26907,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26905]) ).

cnf(26908,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26906]) ).

cnf(26909,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26907]) ).

cnf(26910,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,26908]) ).

cnf(26911,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,26909]) ).

cnf(26912,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26910]) ).

cnf(26913,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26911]) ).

cnf(26914,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26912]) ).

cnf(26915,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26913]) ).

cnf(26916,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26914]) ).

cnf(26917,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26915]) ).

cnf(26918,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26916]) ).

cnf(26919,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26917]) ).

cnf(26920,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26918]) ).

cnf(26921,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26919]) ).

cnf(26922,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26920]) ).

cnf(26923,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26921]) ).

cnf(26924,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26922]) ).

cnf(26925,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26923]) ).

cnf(26926,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,26924]) ).

cnf(26927,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,26925]) ).

cnf(26928,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26926]) ).

cnf(26929,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26927]) ).

cnf(26930,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26928]) ).

cnf(26931,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26929]) ).

cnf(26932,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26930]) ).

cnf(26933,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26931]) ).

cnf(26934,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26932]) ).

cnf(26935,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26933]) ).

cnf(26936,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26934]) ).

cnf(26937,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26935]) ).

cnf(26938,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26936]) ).

cnf(26939,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26937]) ).

cnf(26940,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26938]) ).

cnf(26941,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26939]) ).

cnf(26942,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,26940]) ).

cnf(26943,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,26941]) ).

cnf(26944,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26942]) ).

cnf(26945,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26943]) ).

cnf(26946,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26944]) ).

cnf(26947,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26945]) ).

cnf(26948,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26946]) ).

cnf(26949,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26947]) ).

cnf(26950,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26948]) ).

cnf(26951,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26949]) ).

cnf(26952,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26950]) ).

cnf(26953,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26951]) ).

cnf(26954,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26952]) ).

cnf(26955,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26953]) ).

cnf(26956,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26954]) ).

cnf(26957,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26955]) ).

cnf(26958,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,26956]) ).

cnf(26959,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,26957]) ).

cnf(26960,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26958]) ).

cnf(26961,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26959]) ).

cnf(26962,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26960]) ).

cnf(26963,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26961]) ).

cnf(26964,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26962]) ).

cnf(26965,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26963]) ).

cnf(26966,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26964]) ).

cnf(26967,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26965]) ).

cnf(26968,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26966]) ).

cnf(26969,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26967]) ).

cnf(26970,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26968]) ).

cnf(26971,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26969]) ).

cnf(26972,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26970]) ).

cnf(26973,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26971]) ).

cnf(26974,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,26972]) ).

cnf(26975,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,26973]) ).

cnf(26976,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26974]) ).

cnf(26977,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26975]) ).

cnf(26978,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26976]) ).

cnf(26979,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26977]) ).

cnf(26980,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26978]) ).

cnf(26981,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26979]) ).

cnf(26982,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26980]) ).

cnf(26983,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26981]) ).

cnf(26984,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26982]) ).

cnf(26985,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26983]) ).

cnf(26986,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26984]) ).

cnf(26987,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26985]) ).

cnf(26988,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26986]) ).

cnf(26989,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26987]) ).

cnf(26990,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,26988]) ).

cnf(26991,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,26989]) ).

cnf(26992,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26990]) ).

cnf(26993,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26991]) ).

cnf(26994,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,26992]) ).

cnf(26995,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,26993]) ).

cnf(26996,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26994]) ).

cnf(26997,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26995]) ).

cnf(26998,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,26996]) ).

cnf(26999,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,26997]) ).

cnf(27000,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,26998]) ).

cnf(27001,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,26999]) ).

cnf(27002,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27000]) ).

cnf(27003,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27001]) ).

cnf(27004,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27002]) ).

cnf(27005,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27003]) ).

cnf(27006,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,27004]) ).

cnf(27007,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,27005]) ).

cnf(27008,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27006]) ).

cnf(27009,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27007]) ).

cnf(27010,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27008]) ).

cnf(27011,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27009]) ).

cnf(27012,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27010]) ).

cnf(27013,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27011]) ).

cnf(27014,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27012]) ).

cnf(27015,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27013]) ).

cnf(27016,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27014]) ).

cnf(27017,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27015]) ).

cnf(27018,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27016]) ).

cnf(27019,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27017]) ).

cnf(27020,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27018]) ).

cnf(27021,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27019]) ).

cnf(27022,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,27020]) ).

cnf(27023,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,27021]) ).

cnf(27024,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27022]) ).

cnf(27025,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27023]) ).

cnf(27026,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27024]) ).

cnf(27027,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27025]) ).

cnf(27028,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27026]) ).

cnf(27029,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27027]) ).

cnf(27030,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27028]) ).

cnf(27031,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27029]) ).

cnf(27032,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27030]) ).

cnf(27033,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27031]) ).

cnf(27034,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27032]) ).

cnf(27035,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27033]) ).

cnf(27036,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27034]) ).

cnf(27037,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27035]) ).

cnf(27038,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,27036]) ).

cnf(27039,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,27037]) ).

cnf(27040,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27038]) ).

cnf(27041,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27039]) ).

cnf(27042,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27040]) ).

cnf(27043,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27041]) ).

cnf(27044,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27042]) ).

cnf(27045,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27043]) ).

cnf(27046,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27044]) ).

cnf(27047,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27045]) ).

cnf(27048,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27046]) ).

cnf(27049,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27047]) ).

cnf(27050,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27048]) ).

cnf(27051,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27049]) ).

cnf(27052,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27050]) ).

cnf(27053,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27051]) ).

cnf(27054,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,27052]) ).

cnf(27055,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,27053]) ).

cnf(27056,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27054]) ).

cnf(27057,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27055]) ).

cnf(27058,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27056]) ).

cnf(27059,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27057]) ).

cnf(27060,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27058]) ).

cnf(27061,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27059]) ).

cnf(27062,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27060]) ).

cnf(27063,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27061]) ).

cnf(27064,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27062]) ).

cnf(27065,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27063]) ).

cnf(27066,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27064]) ).

cnf(27067,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27065]) ).

cnf(27068,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27066]) ).

cnf(27069,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27067]) ).

cnf(27070,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,27068]) ).

cnf(27071,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,27069]) ).

cnf(27072,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27070]) ).

cnf(27073,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27071]) ).

cnf(27074,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27072]) ).

cnf(27075,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27073]) ).

cnf(27076,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27074]) ).

cnf(27077,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27075]) ).

cnf(27078,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27076]) ).

cnf(27079,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27077]) ).

cnf(27080,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27078]) ).

cnf(27081,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27079]) ).

cnf(27082,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27080]) ).

cnf(27083,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27081]) ).

cnf(27084,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27082]) ).

cnf(27085,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27083]) ).

cnf(27086,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,27084]) ).

cnf(27087,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,27085]) ).

cnf(27088,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27086]) ).

cnf(27089,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27087]) ).

cnf(27090,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27088]) ).

cnf(27091,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27089]) ).

cnf(27092,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27090]) ).

cnf(27093,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27091]) ).

cnf(27094,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27092]) ).

cnf(27095,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27093]) ).

cnf(27096,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27094]) ).

cnf(27097,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27095]) ).

cnf(27098,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27096]) ).

cnf(27099,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27097]) ).

cnf(27100,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27098]) ).

cnf(27101,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27099]) ).

cnf(27102,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,27100]) ).

cnf(27103,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,27101]) ).

cnf(27104,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27102]) ).

cnf(27105,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27103]) ).

cnf(27106,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27104]) ).

cnf(27107,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27105]) ).

cnf(27108,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27106]) ).

cnf(27109,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27107]) ).

cnf(27110,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27108]) ).

cnf(27111,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27109]) ).

cnf(27112,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27110]) ).

cnf(27113,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27111]) ).

cnf(27114,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27112]) ).

cnf(27115,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27113]) ).

cnf(27116,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27114]) ).

cnf(27117,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27115]) ).

cnf(27118,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,27116]) ).

cnf(27119,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,27117]) ).

cnf(27120,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27118]) ).

cnf(27121,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27119]) ).

cnf(27122,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27120]) ).

cnf(27123,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27121]) ).

cnf(27124,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27122]) ).

cnf(27125,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27123]) ).

cnf(27126,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27124]) ).

cnf(27127,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27125]) ).

cnf(27128,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27126]) ).

cnf(27129,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27127]) ).

cnf(27130,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27128]) ).

cnf(27131,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27129]) ).

cnf(27132,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27130]) ).

cnf(27133,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27131]) ).

cnf(27134,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,27132]) ).

cnf(27135,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,27133]) ).

cnf(27136,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27134]) ).

cnf(27137,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27135]) ).

cnf(27138,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27136]) ).

cnf(27139,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27137]) ).

cnf(27140,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27138]) ).

cnf(27141,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27139]) ).

cnf(27142,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27140]) ).

cnf(27143,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27141]) ).

cnf(27144,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27142]) ).

cnf(27145,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27143]) ).

cnf(27146,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27144]) ).

cnf(27147,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27145]) ).

cnf(27148,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27146]) ).

cnf(27149,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27147]) ).

cnf(27150,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,27148]) ).

cnf(27151,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,27149]) ).

cnf(27152,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27150]) ).

cnf(27153,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27151]) ).

cnf(27154,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27152]) ).

cnf(27155,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27153]) ).

cnf(27156,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27154]) ).

cnf(27157,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27155]) ).

cnf(27158,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27156]) ).

cnf(27159,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27157]) ).

cnf(27160,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27158]) ).

cnf(27161,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27159]) ).

cnf(27162,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27160]) ).

cnf(27163,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27161]) ).

cnf(27164,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27162]) ).

cnf(27165,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27163]) ).

cnf(27166,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[11,27164]) ).

cnf(27167,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[11,27165]) ).

cnf(27168,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27166]) ).

cnf(27169,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27167]) ).

cnf(27170,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27168]) ).

cnf(27171,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27169]) ).

cnf(27172,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27170]) ).

cnf(27173,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27171]) ).

cnf(27174,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27172]) ).

cnf(27175,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27173]) ).

cnf(27176,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27174]) ).

cnf(27177,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27175]) ).

cnf(27178,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27176]) ).

cnf(27179,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27177]) ).

cnf(27180,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27178]) ).

cnf(27181,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27179]) ).

cnf(27182,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,27180]) ).

cnf(27183,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,27181]) ).

cnf(27184,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27182]) ).

cnf(27185,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27183]) ).

cnf(27186,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27184]) ).

cnf(27187,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27185]) ).

cnf(27188,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27186]) ).

cnf(27189,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27187]) ).

cnf(27190,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27188]) ).

cnf(27191,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27189]) ).

cnf(27192,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27190]) ).

cnf(27193,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27191]) ).

cnf(27194,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27192]) ).

cnf(27195,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27193]) ).

cnf(27196,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27194]) ).

cnf(27197,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27195]) ).

cnf(27198,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,27196]) ).

cnf(27199,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,27197]) ).

cnf(27200,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27198]) ).

cnf(27201,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27199]) ).

cnf(27202,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27200]) ).

cnf(27203,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27201]) ).

cnf(27204,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27202]) ).

cnf(27205,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27203]) ).

cnf(27206,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27204]) ).

cnf(27207,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27205]) ).

cnf(27208,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27206]) ).

cnf(27209,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27207]) ).

cnf(27210,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27208]) ).

cnf(27211,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27209]) ).

cnf(27212,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27210]) ).

cnf(27213,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27211]) ).

cnf(27214,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,27212]) ).

cnf(27215,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,27213]) ).

cnf(27216,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27214]) ).

cnf(27217,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27215]) ).

cnf(27218,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27216]) ).

cnf(27219,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27217]) ).

cnf(27220,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27218]) ).

cnf(27221,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27219]) ).

cnf(27222,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27220]) ).

cnf(27223,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27221]) ).

cnf(27224,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27222]) ).

cnf(27225,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27223]) ).

cnf(27226,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27224]) ).

cnf(27227,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27225]) ).

cnf(27228,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27226]) ).

cnf(27229,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27227]) ).

cnf(27230,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,27228]) ).

cnf(27231,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,27229]) ).

cnf(27232,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27230]) ).

cnf(27233,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27231]) ).

cnf(27234,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27232]) ).

cnf(27235,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27233]) ).

cnf(27236,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27234]) ).

cnf(27237,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27235]) ).

cnf(27238,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27236]) ).

cnf(27239,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27237]) ).

cnf(27240,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27238]) ).

cnf(27241,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27239]) ).

cnf(27242,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27240]) ).

cnf(27243,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27241]) ).

cnf(27244,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27242]) ).

cnf(27245,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27243]) ).

cnf(27246,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,27244]) ).

cnf(27247,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,27245]) ).

cnf(27248,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27246]) ).

cnf(27249,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27247]) ).

cnf(27250,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27248]) ).

cnf(27251,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27249]) ).

cnf(27252,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27250]) ).

cnf(27253,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27251]) ).

cnf(27254,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27252]) ).

cnf(27255,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27253]) ).

cnf(27256,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27254]) ).

cnf(27257,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27255]) ).

cnf(27258,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27256]) ).

cnf(27259,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27257]) ).

cnf(27260,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27258]) ).

cnf(27261,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27259]) ).

cnf(27262,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,27260]) ).

cnf(27263,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,27261]) ).

cnf(27264,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27262]) ).

cnf(27265,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27263]) ).

cnf(27266,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27264]) ).

cnf(27267,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27265]) ).

cnf(27268,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27266]) ).

cnf(27269,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27267]) ).

cnf(27270,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27268]) ).

cnf(27271,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27269]) ).

cnf(27272,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27270]) ).

cnf(27273,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27271]) ).

cnf(27274,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27272]) ).

cnf(27275,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27273]) ).

cnf(27276,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27274]) ).

cnf(27277,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27275]) ).

cnf(27278,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,27276]) ).

cnf(27279,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,27277]) ).

cnf(27280,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27278]) ).

cnf(27281,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27279]) ).

cnf(27282,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27280]) ).

cnf(27283,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27281]) ).

cnf(27284,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27282]) ).

cnf(27285,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27283]) ).

cnf(27286,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27284]) ).

cnf(27287,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27285]) ).

cnf(27288,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27286]) ).

cnf(27289,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27287]) ).

cnf(27290,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27288]) ).

cnf(27291,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27289]) ).

cnf(27292,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27290]) ).

cnf(27293,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27291]) ).

cnf(27294,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,27292]) ).

cnf(27295,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,27293]) ).

cnf(27296,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27294]) ).

cnf(27297,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27295]) ).

cnf(27298,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27296]) ).

cnf(27299,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27297]) ).

cnf(27300,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27298]) ).

cnf(27301,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27299]) ).

cnf(27302,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27300]) ).

cnf(27303,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27301]) ).

cnf(27304,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27302]) ).

cnf(27305,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27303]) ).

cnf(27306,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27304]) ).

cnf(27307,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27305]) ).

cnf(27308,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27306]) ).

cnf(27309,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27307]) ).

cnf(27310,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,27308]) ).

cnf(27311,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,27309]) ).

cnf(27312,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27310]) ).

cnf(27313,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27311]) ).

cnf(27314,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27312]) ).

cnf(27315,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27313]) ).

cnf(27316,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27314]) ).

cnf(27317,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27315]) ).

cnf(27318,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27316]) ).

cnf(27319,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27317]) ).

cnf(27320,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27318]) ).

cnf(27321,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27319]) ).

cnf(27322,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27320]) ).

cnf(27323,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27321]) ).

cnf(27324,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27322]) ).

cnf(27325,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27323]) ).

cnf(27326,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,27324]) ).

cnf(27327,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,27325]) ).

cnf(27328,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27326]) ).

cnf(27329,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27327]) ).

cnf(27330,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27328]) ).

cnf(27331,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27329]) ).

cnf(27332,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27330]) ).

cnf(27333,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27331]) ).

cnf(27334,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27332]) ).

cnf(27335,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27333]) ).

cnf(27336,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27334]) ).

cnf(27337,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27335]) ).

cnf(27338,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27336]) ).

cnf(27339,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27337]) ).

cnf(27340,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27338]) ).

cnf(27341,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27339]) ).

cnf(27342,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,27340]) ).

cnf(27343,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,27341]) ).

cnf(27344,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27342]) ).

cnf(27345,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27343]) ).

cnf(27346,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27344]) ).

cnf(27347,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27345]) ).

cnf(27348,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27346]) ).

cnf(27349,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27347]) ).

cnf(27350,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27348]) ).

cnf(27351,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27349]) ).

cnf(27352,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27350]) ).

cnf(27353,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27351]) ).

cnf(27354,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27352]) ).

cnf(27355,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27353]) ).

cnf(27356,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27354]) ).

cnf(27357,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27355]) ).

cnf(27358,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,27356]) ).

cnf(27359,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,27357]) ).

cnf(27360,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27358]) ).

cnf(27361,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27359]) ).

cnf(27362,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27360]) ).

cnf(27363,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27361]) ).

cnf(27364,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27362]) ).

cnf(27365,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27363]) ).

cnf(27366,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27364]) ).

cnf(27367,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27365]) ).

cnf(27368,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27366]) ).

cnf(27369,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27367]) ).

cnf(27370,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27368]) ).

cnf(27371,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27369]) ).

cnf(27372,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27370]) ).

cnf(27373,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27371]) ).

cnf(27374,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,27372]) ).

cnf(27375,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,27373]) ).

cnf(27376,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27374]) ).

cnf(27377,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27375]) ).

cnf(27378,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27376]) ).

cnf(27379,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27377]) ).

cnf(27380,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27378]) ).

cnf(27381,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27379]) ).

cnf(27382,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27380]) ).

cnf(27383,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27381]) ).

cnf(27384,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27382]) ).

cnf(27385,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27383]) ).

cnf(27386,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27384]) ).

cnf(27387,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27385]) ).

cnf(27388,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27386]) ).

cnf(27389,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27387]) ).

cnf(27390,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,27388]) ).

cnf(27391,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,27389]) ).

cnf(27392,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27390]) ).

cnf(27393,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27391]) ).

cnf(27394,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27392]) ).

cnf(27395,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27393]) ).

cnf(27396,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27394]) ).

cnf(27397,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27395]) ).

cnf(27398,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27396]) ).

cnf(27399,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27397]) ).

cnf(27400,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27398]) ).

cnf(27401,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27399]) ).

cnf(27402,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27400]) ).

cnf(27403,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27401]) ).

cnf(27404,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27402]) ).

cnf(27405,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27403]) ).

cnf(27406,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,27404]) ).

cnf(27407,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,27405]) ).

cnf(27408,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27406]) ).

cnf(27409,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27407]) ).

cnf(27410,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27408]) ).

cnf(27411,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27409]) ).

cnf(27412,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27410]) ).

cnf(27413,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27411]) ).

cnf(27414,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27412]) ).

cnf(27415,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27413]) ).

cnf(27416,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27414]) ).

cnf(27417,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27415]) ).

cnf(27418,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27416]) ).

cnf(27419,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27417]) ).

cnf(27420,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27418]) ).

cnf(27421,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27419]) ).

cnf(27422,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,27420]) ).

cnf(27423,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,27421]) ).

cnf(27424,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27422]) ).

cnf(27425,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27423]) ).

cnf(27426,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27424]) ).

cnf(27427,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27425]) ).

cnf(27428,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27426]) ).

cnf(27429,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27427]) ).

cnf(27430,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27428]) ).

cnf(27431,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27429]) ).

cnf(27432,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27430]) ).

cnf(27433,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27431]) ).

cnf(27434,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27432]) ).

cnf(27435,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27433]) ).

cnf(27436,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27434]) ).

cnf(27437,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27435]) ).

cnf(27438,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,27436]) ).

cnf(27439,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,27437]) ).

cnf(27440,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27438]) ).

cnf(27441,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27439]) ).

cnf(27442,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27440]) ).

cnf(27443,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27441]) ).

cnf(27444,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27442]) ).

cnf(27445,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27443]) ).

cnf(27446,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27444]) ).

cnf(27447,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27445]) ).

cnf(27448,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27446]) ).

cnf(27449,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27447]) ).

cnf(27450,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27448]) ).

cnf(27451,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27449]) ).

cnf(27452,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27450]) ).

cnf(27453,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27451]) ).

cnf(27454,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,27452]) ).

cnf(27455,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,27453]) ).

cnf(27456,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27454]) ).

cnf(27457,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27455]) ).

cnf(27458,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27456]) ).

cnf(27459,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27457]) ).

cnf(27460,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27458]) ).

cnf(27461,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27459]) ).

cnf(27462,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27460]) ).

cnf(27463,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27461]) ).

cnf(27464,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27462]) ).

cnf(27465,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27463]) ).

cnf(27466,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27464]) ).

cnf(27467,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27465]) ).

cnf(27468,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27466]) ).

cnf(27469,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27467]) ).

cnf(27470,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,27468]) ).

cnf(27471,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,27469]) ).

cnf(27472,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27470]) ).

cnf(27473,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27471]) ).

cnf(27474,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27472]) ).

cnf(27475,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27473]) ).

cnf(27476,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27474]) ).

cnf(27477,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27475]) ).

cnf(27478,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27476]) ).

cnf(27479,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27477]) ).

cnf(27480,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27478]) ).

cnf(27481,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27479]) ).

cnf(27482,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27480]) ).

cnf(27483,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27481]) ).

cnf(27484,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27482]) ).

cnf(27485,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27483]) ).

cnf(27486,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,27484]) ).

cnf(27487,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,27485]) ).

cnf(27488,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27486]) ).

cnf(27489,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27487]) ).

cnf(27490,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27488]) ).

cnf(27491,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27489]) ).

cnf(27492,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27490]) ).

cnf(27493,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27491]) ).

cnf(27494,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27492]) ).

cnf(27495,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27493]) ).

cnf(27496,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27494]) ).

cnf(27497,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27495]) ).

cnf(27498,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27496]) ).

cnf(27499,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27497]) ).

cnf(27500,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27498]) ).

cnf(27501,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27499]) ).

cnf(27502,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,27500]) ).

cnf(27503,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,27501]) ).

cnf(27504,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27502]) ).

cnf(27505,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27503]) ).

cnf(27506,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27504]) ).

cnf(27507,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27505]) ).

cnf(27508,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27506]) ).

cnf(27509,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27507]) ).

cnf(27510,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27508]) ).

cnf(27511,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27509]) ).

cnf(27512,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27510]) ).

cnf(27513,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27511]) ).

cnf(27514,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27512]) ).

cnf(27515,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27513]) ).

cnf(27516,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27514]) ).

cnf(27517,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27515]) ).

cnf(27518,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,27516]) ).

cnf(27519,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,27517]) ).

cnf(27520,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27518]) ).

cnf(27521,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27519]) ).

cnf(27522,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27520]) ).

cnf(27523,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27521]) ).

cnf(27524,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27522]) ).

cnf(27525,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27523]) ).

cnf(27526,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27524]) ).

cnf(27527,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27525]) ).

cnf(27528,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27526]) ).

cnf(27529,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27527]) ).

cnf(27530,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27528]) ).

cnf(27531,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27529]) ).

cnf(27532,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27530]) ).

cnf(27533,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27531]) ).

cnf(27534,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,27532]) ).

cnf(27535,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,27533]) ).

cnf(27536,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27534]) ).

cnf(27537,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27535]) ).

cnf(27538,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27536]) ).

cnf(27539,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27537]) ).

cnf(27540,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27538]) ).

cnf(27541,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27539]) ).

cnf(27542,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27540]) ).

cnf(27543,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27541]) ).

cnf(27544,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27542]) ).

cnf(27545,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27543]) ).

cnf(27546,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27544]) ).

cnf(27547,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27545]) ).

cnf(27548,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27546]) ).

cnf(27549,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27547]) ).

cnf(27550,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,27548]) ).

cnf(27551,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,27549]) ).

cnf(27552,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27550]) ).

cnf(27553,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27551]) ).

cnf(27554,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27552]) ).

cnf(27555,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27553]) ).

cnf(27556,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27554]) ).

cnf(27557,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27555]) ).

cnf(27558,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27556]) ).

cnf(27559,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27557]) ).

cnf(27560,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27558]) ).

cnf(27561,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27559]) ).

cnf(27562,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27560]) ).

cnf(27563,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27561]) ).

cnf(27564,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27562]) ).

cnf(27565,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27563]) ).

cnf(27566,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,27564]) ).

cnf(27567,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,27565]) ).

cnf(27568,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27566]) ).

cnf(27569,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27567]) ).

cnf(27570,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27568]) ).

cnf(27571,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27569]) ).

cnf(27572,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27570]) ).

cnf(27573,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27571]) ).

cnf(27574,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27572]) ).

cnf(27575,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27573]) ).

cnf(27576,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27574]) ).

cnf(27577,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27575]) ).

cnf(27578,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27576]) ).

cnf(27579,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27577]) ).

cnf(27580,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27578]) ).

cnf(27581,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27579]) ).

cnf(27582,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,27580]) ).

cnf(27583,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,27581]) ).

cnf(27584,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27582]) ).

cnf(27585,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27583]) ).

cnf(27586,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27584]) ).

cnf(27587,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27585]) ).

cnf(27588,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27586]) ).

cnf(27589,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27587]) ).

cnf(27590,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27588]) ).

cnf(27591,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27589]) ).

cnf(27592,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27590]) ).

cnf(27593,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27591]) ).

cnf(27594,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27592]) ).

cnf(27595,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27593]) ).

cnf(27596,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27594]) ).

cnf(27597,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27595]) ).

cnf(27598,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,27596]) ).

cnf(27599,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,27597]) ).

cnf(27600,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27598]) ).

cnf(27601,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27599]) ).

cnf(27602,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27600]) ).

cnf(27603,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27601]) ).

cnf(27604,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27602]) ).

cnf(27605,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27603]) ).

cnf(27606,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27604]) ).

cnf(27607,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27605]) ).

cnf(27608,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27606]) ).

cnf(27609,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27607]) ).

cnf(27610,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27608]) ).

cnf(27611,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27609]) ).

cnf(27612,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27610]) ).

cnf(27613,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27611]) ).

cnf(27614,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,27612]) ).

cnf(27615,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,27613]) ).

cnf(27616,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27614]) ).

cnf(27617,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27615]) ).

cnf(27618,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27616]) ).

cnf(27619,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27617]) ).

cnf(27620,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27618]) ).

cnf(27621,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27619]) ).

cnf(27622,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27620]) ).

cnf(27623,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27621]) ).

cnf(27624,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27622]) ).

cnf(27625,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27623]) ).

cnf(27626,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27624]) ).

cnf(27627,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27625]) ).

cnf(27628,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27626]) ).

cnf(27629,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27627]) ).

cnf(27630,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,27628]) ).

cnf(27631,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,27629]) ).

cnf(27632,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27630]) ).

cnf(27633,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27631]) ).

cnf(27634,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27632]) ).

cnf(27635,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27633]) ).

cnf(27636,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27634]) ).

cnf(27637,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27635]) ).

cnf(27638,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27636]) ).

cnf(27639,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27637]) ).

cnf(27640,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27638]) ).

cnf(27641,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27639]) ).

cnf(27642,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27640]) ).

cnf(27643,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27641]) ).

cnf(27644,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27642]) ).

cnf(27645,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27643]) ).

cnf(27646,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,27644]) ).

cnf(27647,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,27645]) ).

cnf(27648,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27646]) ).

cnf(27649,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27647]) ).

cnf(27650,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27648]) ).

cnf(27651,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27649]) ).

cnf(27652,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27650]) ).

cnf(27653,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27651]) ).

cnf(27654,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27652]) ).

cnf(27655,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27653]) ).

cnf(27656,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27654]) ).

cnf(27657,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27655]) ).

cnf(27658,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27656]) ).

cnf(27659,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27657]) ).

cnf(27660,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27658]) ).

cnf(27661,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27659]) ).

cnf(27662,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,27660]) ).

cnf(27663,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,27661]) ).

cnf(27664,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27662]) ).

cnf(27665,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27663]) ).

cnf(27666,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27664]) ).

cnf(27667,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27665]) ).

cnf(27668,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27666]) ).

cnf(27669,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27667]) ).

cnf(27670,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27668]) ).

cnf(27671,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27669]) ).

cnf(27672,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27670]) ).

cnf(27673,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27671]) ).

cnf(27674,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27672]) ).

cnf(27675,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27673]) ).

cnf(27676,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27674]) ).

cnf(27677,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27675]) ).

cnf(27678,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[12,27676]) ).

cnf(27679,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[12,27677]) ).

cnf(27680,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27678]) ).

cnf(27681,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27679]) ).

cnf(27682,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27680]) ).

cnf(27683,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27681]) ).

cnf(27684,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27682]) ).

cnf(27685,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27683]) ).

cnf(27686,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27684]) ).

cnf(27687,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27685]) ).

cnf(27688,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27686]) ).

cnf(27689,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27687]) ).

cnf(27690,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27688]) ).

cnf(27691,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27689]) ).

cnf(27692,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27690]) ).

cnf(27693,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27691]) ).

cnf(27694,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,27692]) ).

cnf(27695,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,27693]) ).

cnf(27696,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27694]) ).

cnf(27697,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27695]) ).

cnf(27698,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27696]) ).

cnf(27699,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27697]) ).

cnf(27700,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27698]) ).

cnf(27701,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27699]) ).

cnf(27702,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27700]) ).

cnf(27703,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27701]) ).

cnf(27704,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27702]) ).

cnf(27705,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27703]) ).

cnf(27706,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27704]) ).

cnf(27707,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27705]) ).

cnf(27708,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27706]) ).

cnf(27709,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27707]) ).

cnf(27710,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,27708]) ).

cnf(27711,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,27709]) ).

cnf(27712,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27710]) ).

cnf(27713,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27711]) ).

cnf(27714,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27712]) ).

cnf(27715,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27713]) ).

cnf(27716,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27714]) ).

cnf(27717,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27715]) ).

cnf(27718,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27716]) ).

cnf(27719,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27717]) ).

cnf(27720,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27718]) ).

cnf(27721,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27719]) ).

cnf(27722,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27720]) ).

cnf(27723,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27721]) ).

cnf(27724,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27722]) ).

cnf(27725,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27723]) ).

cnf(27726,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,27724]) ).

cnf(27727,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,27725]) ).

cnf(27728,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27726]) ).

cnf(27729,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27727]) ).

cnf(27730,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27728]) ).

cnf(27731,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27729]) ).

cnf(27732,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27730]) ).

cnf(27733,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27731]) ).

cnf(27734,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27732]) ).

cnf(27735,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27733]) ).

cnf(27736,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27734]) ).

cnf(27737,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27735]) ).

cnf(27738,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27736]) ).

cnf(27739,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27737]) ).

cnf(27740,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27738]) ).

cnf(27741,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27739]) ).

cnf(27742,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,27740]) ).

cnf(27743,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,27741]) ).

cnf(27744,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27742]) ).

cnf(27745,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27743]) ).

cnf(27746,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27744]) ).

cnf(27747,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27745]) ).

cnf(27748,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27746]) ).

cnf(27749,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27747]) ).

cnf(27750,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27748]) ).

cnf(27751,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27749]) ).

cnf(27752,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27750]) ).

cnf(27753,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27751]) ).

cnf(27754,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27752]) ).

cnf(27755,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27753]) ).

cnf(27756,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27754]) ).

cnf(27757,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27755]) ).

cnf(27758,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,27756]) ).

cnf(27759,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,27757]) ).

cnf(27760,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27758]) ).

cnf(27761,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27759]) ).

cnf(27762,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27760]) ).

cnf(27763,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27761]) ).

cnf(27764,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27762]) ).

cnf(27765,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27763]) ).

cnf(27766,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27764]) ).

cnf(27767,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27765]) ).

cnf(27768,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27766]) ).

cnf(27769,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27767]) ).

cnf(27770,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27768]) ).

cnf(27771,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27769]) ).

cnf(27772,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27770]) ).

cnf(27773,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27771]) ).

cnf(27774,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,27772]) ).

cnf(27775,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,27773]) ).

cnf(27776,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27774]) ).

cnf(27777,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27775]) ).

cnf(27778,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27776]) ).

cnf(27779,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27777]) ).

cnf(27780,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27778]) ).

cnf(27781,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27779]) ).

cnf(27782,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27780]) ).

cnf(27783,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27781]) ).

cnf(27784,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27782]) ).

cnf(27785,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27783]) ).

cnf(27786,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27784]) ).

cnf(27787,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27785]) ).

cnf(27788,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27786]) ).

cnf(27789,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27787]) ).

cnf(27790,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,27788]) ).

cnf(27791,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,27789]) ).

cnf(27792,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27790]) ).

cnf(27793,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27791]) ).

cnf(27794,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27792]) ).

cnf(27795,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27793]) ).

cnf(27796,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27794]) ).

cnf(27797,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27795]) ).

cnf(27798,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27796]) ).

cnf(27799,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27797]) ).

cnf(27800,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27798]) ).

cnf(27801,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27799]) ).

cnf(27802,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27800]) ).

cnf(27803,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27801]) ).

cnf(27804,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27802]) ).

cnf(27805,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27803]) ).

cnf(27806,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,27804]) ).

cnf(27807,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,27805]) ).

cnf(27808,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27806]) ).

cnf(27809,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27807]) ).

cnf(27810,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27808]) ).

cnf(27811,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27809]) ).

cnf(27812,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27810]) ).

cnf(27813,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27811]) ).

cnf(27814,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27812]) ).

cnf(27815,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27813]) ).

cnf(27816,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27814]) ).

cnf(27817,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27815]) ).

cnf(27818,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27816]) ).

cnf(27819,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27817]) ).

cnf(27820,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27818]) ).

cnf(27821,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27819]) ).

cnf(27822,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,27820]) ).

cnf(27823,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,27821]) ).

cnf(27824,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27822]) ).

cnf(27825,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27823]) ).

cnf(27826,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27824]) ).

cnf(27827,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27825]) ).

cnf(27828,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27826]) ).

cnf(27829,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27827]) ).

cnf(27830,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27828]) ).

cnf(27831,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27829]) ).

cnf(27832,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27830]) ).

cnf(27833,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27831]) ).

cnf(27834,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27832]) ).

cnf(27835,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27833]) ).

cnf(27836,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27834]) ).

cnf(27837,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27835]) ).

cnf(27838,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,27836]) ).

cnf(27839,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,27837]) ).

cnf(27840,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27838]) ).

cnf(27841,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27839]) ).

cnf(27842,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27840]) ).

cnf(27843,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27841]) ).

cnf(27844,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27842]) ).

cnf(27845,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27843]) ).

cnf(27846,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27844]) ).

cnf(27847,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27845]) ).

cnf(27848,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27846]) ).

cnf(27849,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27847]) ).

cnf(27850,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27848]) ).

cnf(27851,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27849]) ).

cnf(27852,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27850]) ).

cnf(27853,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27851]) ).

cnf(27854,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,27852]) ).

cnf(27855,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,27853]) ).

cnf(27856,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27854]) ).

cnf(27857,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27855]) ).

cnf(27858,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27856]) ).

cnf(27859,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27857]) ).

cnf(27860,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27858]) ).

cnf(27861,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27859]) ).

cnf(27862,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27860]) ).

cnf(27863,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27861]) ).

cnf(27864,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27862]) ).

cnf(27865,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27863]) ).

cnf(27866,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27864]) ).

cnf(27867,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27865]) ).

cnf(27868,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27866]) ).

cnf(27869,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27867]) ).

cnf(27870,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,27868]) ).

cnf(27871,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,27869]) ).

cnf(27872,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27870]) ).

cnf(27873,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27871]) ).

cnf(27874,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27872]) ).

cnf(27875,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27873]) ).

cnf(27876,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27874]) ).

cnf(27877,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27875]) ).

cnf(27878,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27876]) ).

cnf(27879,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27877]) ).

cnf(27880,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27878]) ).

cnf(27881,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27879]) ).

cnf(27882,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27880]) ).

cnf(27883,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27881]) ).

cnf(27884,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27882]) ).

cnf(27885,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27883]) ).

cnf(27886,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,27884]) ).

cnf(27887,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,27885]) ).

cnf(27888,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27886]) ).

cnf(27889,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27887]) ).

cnf(27890,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27888]) ).

cnf(27891,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27889]) ).

cnf(27892,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27890]) ).

cnf(27893,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27891]) ).

cnf(27894,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27892]) ).

cnf(27895,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27893]) ).

cnf(27896,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27894]) ).

cnf(27897,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27895]) ).

cnf(27898,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27896]) ).

cnf(27899,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27897]) ).

cnf(27900,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27898]) ).

cnf(27901,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27899]) ).

cnf(27902,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,27900]) ).

cnf(27903,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,27901]) ).

cnf(27904,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27902]) ).

cnf(27905,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27903]) ).

cnf(27906,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27904]) ).

cnf(27907,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27905]) ).

cnf(27908,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27906]) ).

cnf(27909,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27907]) ).

cnf(27910,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27908]) ).

cnf(27911,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27909]) ).

cnf(27912,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27910]) ).

cnf(27913,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27911]) ).

cnf(27914,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27912]) ).

cnf(27915,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27913]) ).

cnf(27916,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27914]) ).

cnf(27917,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27915]) ).

cnf(27918,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,27916]) ).

cnf(27919,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,27917]) ).

cnf(27920,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27918]) ).

cnf(27921,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27919]) ).

cnf(27922,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27920]) ).

cnf(27923,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27921]) ).

cnf(27924,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27922]) ).

cnf(27925,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27923]) ).

cnf(27926,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27924]) ).

cnf(27927,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27925]) ).

cnf(27928,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27926]) ).

cnf(27929,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27927]) ).

cnf(27930,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27928]) ).

cnf(27931,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27929]) ).

cnf(27932,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27930]) ).

cnf(27933,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27931]) ).

cnf(27934,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,27932]) ).

cnf(27935,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,27933]) ).

cnf(27936,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27934]) ).

cnf(27937,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27935]) ).

cnf(27938,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27936]) ).

cnf(27939,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27937]) ).

cnf(27940,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27938]) ).

cnf(27941,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27939]) ).

cnf(27942,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27940]) ).

cnf(27943,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27941]) ).

cnf(27944,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27942]) ).

cnf(27945,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27943]) ).

cnf(27946,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27944]) ).

cnf(27947,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27945]) ).

cnf(27948,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27946]) ).

cnf(27949,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27947]) ).

cnf(27950,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,27948]) ).

cnf(27951,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,27949]) ).

cnf(27952,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27950]) ).

cnf(27953,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27951]) ).

cnf(27954,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27952]) ).

cnf(27955,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27953]) ).

cnf(27956,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27954]) ).

cnf(27957,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27955]) ).

cnf(27958,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27956]) ).

cnf(27959,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27957]) ).

cnf(27960,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27958]) ).

cnf(27961,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27959]) ).

cnf(27962,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27960]) ).

cnf(27963,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27961]) ).

cnf(27964,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27962]) ).

cnf(27965,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27963]) ).

cnf(27966,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,27964]) ).

cnf(27967,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,27965]) ).

cnf(27968,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27966]) ).

cnf(27969,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27967]) ).

cnf(27970,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27968]) ).

cnf(27971,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27969]) ).

cnf(27972,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27970]) ).

cnf(27973,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27971]) ).

cnf(27974,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27972]) ).

cnf(27975,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27973]) ).

cnf(27976,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27974]) ).

cnf(27977,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27975]) ).

cnf(27978,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27976]) ).

cnf(27979,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27977]) ).

cnf(27980,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27978]) ).

cnf(27981,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27979]) ).

cnf(27982,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,27980]) ).

cnf(27983,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,27981]) ).

cnf(27984,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27982]) ).

cnf(27985,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27983]) ).

cnf(27986,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27984]) ).

cnf(27987,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27985]) ).

cnf(27988,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27986]) ).

cnf(27989,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27987]) ).

cnf(27990,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,27988]) ).

cnf(27991,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,27989]) ).

cnf(27992,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27990]) ).

cnf(27993,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27991]) ).

cnf(27994,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,27992]) ).

cnf(27995,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,27993]) ).

cnf(27996,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27994]) ).

cnf(27997,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27995]) ).

cnf(27998,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,27996]) ).

cnf(27999,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,27997]) ).

cnf(28000,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,27998]) ).

cnf(28001,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,27999]) ).

cnf(28002,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28000]) ).

cnf(28003,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28001]) ).

cnf(28004,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28002]) ).

cnf(28005,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28003]) ).

cnf(28006,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28004]) ).

cnf(28007,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28005]) ).

cnf(28008,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28006]) ).

cnf(28009,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28007]) ).

cnf(28010,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28008]) ).

cnf(28011,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28009]) ).

cnf(28012,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28010]) ).

cnf(28013,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28011]) ).

cnf(28014,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,28012]) ).

cnf(28015,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,28013]) ).

cnf(28016,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28014]) ).

cnf(28017,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28015]) ).

cnf(28018,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28016]) ).

cnf(28019,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28017]) ).

cnf(28020,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28018]) ).

cnf(28021,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28019]) ).

cnf(28022,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28020]) ).

cnf(28023,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28021]) ).

cnf(28024,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28022]) ).

cnf(28025,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28023]) ).

cnf(28026,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28024]) ).

cnf(28027,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28025]) ).

cnf(28028,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28026]) ).

cnf(28029,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28027]) ).

cnf(28030,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,28028]) ).

cnf(28031,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,28029]) ).

cnf(28032,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28030]) ).

cnf(28033,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28031]) ).

cnf(28034,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28032]) ).

cnf(28035,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28033]) ).

cnf(28036,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28034]) ).

cnf(28037,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28035]) ).

cnf(28038,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28036]) ).

cnf(28039,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28037]) ).

cnf(28040,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28038]) ).

cnf(28041,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28039]) ).

cnf(28042,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28040]) ).

cnf(28043,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28041]) ).

cnf(28044,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28042]) ).

cnf(28045,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28043]) ).

cnf(28046,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,28044]) ).

cnf(28047,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,28045]) ).

cnf(28048,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28046]) ).

cnf(28049,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28047]) ).

cnf(28050,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28048]) ).

cnf(28051,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28049]) ).

cnf(28052,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28050]) ).

cnf(28053,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28051]) ).

cnf(28054,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28052]) ).

cnf(28055,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28053]) ).

cnf(28056,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28054]) ).

cnf(28057,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28055]) ).

cnf(28058,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28056]) ).

cnf(28059,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28057]) ).

cnf(28060,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28058]) ).

cnf(28061,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28059]) ).

cnf(28062,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,28060]) ).

cnf(28063,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,28061]) ).

cnf(28064,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28062]) ).

cnf(28065,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28063]) ).

cnf(28066,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28064]) ).

cnf(28067,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28065]) ).

cnf(28068,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28066]) ).

cnf(28069,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28067]) ).

cnf(28070,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28068]) ).

cnf(28071,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28069]) ).

cnf(28072,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28070]) ).

cnf(28073,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28071]) ).

cnf(28074,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28072]) ).

cnf(28075,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28073]) ).

cnf(28076,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28074]) ).

cnf(28077,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28075]) ).

cnf(28078,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,28076]) ).

cnf(28079,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,28077]) ).

cnf(28080,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28078]) ).

cnf(28081,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28079]) ).

cnf(28082,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28080]) ).

cnf(28083,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28081]) ).

cnf(28084,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28082]) ).

cnf(28085,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28083]) ).

cnf(28086,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28084]) ).

cnf(28087,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28085]) ).

cnf(28088,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28086]) ).

cnf(28089,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28087]) ).

cnf(28090,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28088]) ).

cnf(28091,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28089]) ).

cnf(28092,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28090]) ).

cnf(28093,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28091]) ).

cnf(28094,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,28092]) ).

cnf(28095,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,28093]) ).

cnf(28096,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28094]) ).

cnf(28097,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28095]) ).

cnf(28098,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28096]) ).

cnf(28099,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28097]) ).

cnf(28100,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28098]) ).

cnf(28101,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28099]) ).

cnf(28102,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28100]) ).

cnf(28103,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28101]) ).

cnf(28104,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28102]) ).

cnf(28105,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28103]) ).

cnf(28106,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28104]) ).

cnf(28107,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28105]) ).

cnf(28108,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28106]) ).

cnf(28109,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28107]) ).

cnf(28110,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,28108]) ).

cnf(28111,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,28109]) ).

cnf(28112,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28110]) ).

cnf(28113,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28111]) ).

cnf(28114,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28112]) ).

cnf(28115,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28113]) ).

cnf(28116,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28114]) ).

cnf(28117,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28115]) ).

cnf(28118,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28116]) ).

cnf(28119,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28117]) ).

cnf(28120,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28118]) ).

cnf(28121,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28119]) ).

cnf(28122,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28120]) ).

cnf(28123,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28121]) ).

cnf(28124,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28122]) ).

cnf(28125,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28123]) ).

cnf(28126,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,28124]) ).

cnf(28127,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,28125]) ).

cnf(28128,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28126]) ).

cnf(28129,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28127]) ).

cnf(28130,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28128]) ).

cnf(28131,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28129]) ).

cnf(28132,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28130]) ).

cnf(28133,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28131]) ).

cnf(28134,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28132]) ).

cnf(28135,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28133]) ).

cnf(28136,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28134]) ).

cnf(28137,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28135]) ).

cnf(28138,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28136]) ).

cnf(28139,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28137]) ).

cnf(28140,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28138]) ).

cnf(28141,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28139]) ).

cnf(28142,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,28140]) ).

cnf(28143,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,28141]) ).

cnf(28144,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28142]) ).

cnf(28145,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28143]) ).

cnf(28146,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28144]) ).

cnf(28147,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28145]) ).

cnf(28148,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28146]) ).

cnf(28149,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28147]) ).

cnf(28150,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28148]) ).

cnf(28151,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28149]) ).

cnf(28152,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28150]) ).

cnf(28153,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28151]) ).

cnf(28154,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28152]) ).

cnf(28155,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28153]) ).

cnf(28156,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28154]) ).

cnf(28157,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28155]) ).

cnf(28158,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,28156]) ).

cnf(28159,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,28157]) ).

cnf(28160,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28158]) ).

cnf(28161,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28159]) ).

cnf(28162,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28160]) ).

cnf(28163,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28161]) ).

cnf(28164,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28162]) ).

cnf(28165,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28163]) ).

cnf(28166,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28164]) ).

cnf(28167,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28165]) ).

cnf(28168,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28166]) ).

cnf(28169,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28167]) ).

cnf(28170,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28168]) ).

cnf(28171,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28169]) ).

cnf(28172,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28170]) ).

cnf(28173,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28171]) ).

cnf(28174,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,28172]) ).

cnf(28175,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,28173]) ).

cnf(28176,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28174]) ).

cnf(28177,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28175]) ).

cnf(28178,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28176]) ).

cnf(28179,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28177]) ).

cnf(28180,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28178]) ).

cnf(28181,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28179]) ).

cnf(28182,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28180]) ).

cnf(28183,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28181]) ).

cnf(28184,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28182]) ).

cnf(28185,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28183]) ).

cnf(28186,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28184]) ).

cnf(28187,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28185]) ).

cnf(28188,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28186]) ).

cnf(28189,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28187]) ).

cnf(28190,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[11,28188]) ).

cnf(28191,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[11,28189]) ).

cnf(28192,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28190]) ).

cnf(28193,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28191]) ).

cnf(28194,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28192]) ).

cnf(28195,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28193]) ).

cnf(28196,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28194]) ).

cnf(28197,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28195]) ).

cnf(28198,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28196]) ).

cnf(28199,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28197]) ).

cnf(28200,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28198]) ).

cnf(28201,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28199]) ).

cnf(28202,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28200]) ).

cnf(28203,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28201]) ).

cnf(28204,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28202]) ).

cnf(28205,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28203]) ).

cnf(28206,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,28204]) ).

cnf(28207,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,28205]) ).

cnf(28208,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28206]) ).

cnf(28209,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28207]) ).

cnf(28210,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28208]) ).

cnf(28211,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28209]) ).

cnf(28212,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28210]) ).

cnf(28213,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28211]) ).

cnf(28214,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28212]) ).

cnf(28215,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28213]) ).

cnf(28216,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28214]) ).

cnf(28217,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28215]) ).

cnf(28218,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28216]) ).

cnf(28219,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28217]) ).

cnf(28220,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28218]) ).

cnf(28221,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28219]) ).

cnf(28222,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,28220]) ).

cnf(28223,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,28221]) ).

cnf(28224,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28222]) ).

cnf(28225,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28223]) ).

cnf(28226,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28224]) ).

cnf(28227,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28225]) ).

cnf(28228,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28226]) ).

cnf(28229,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28227]) ).

cnf(28230,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28228]) ).

cnf(28231,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28229]) ).

cnf(28232,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28230]) ).

cnf(28233,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28231]) ).

cnf(28234,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28232]) ).

cnf(28235,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28233]) ).

cnf(28236,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28234]) ).

cnf(28237,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28235]) ).

cnf(28238,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,28236]) ).

cnf(28239,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,28237]) ).

cnf(28240,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28238]) ).

cnf(28241,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28239]) ).

cnf(28242,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28240]) ).

cnf(28243,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28241]) ).

cnf(28244,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28242]) ).

cnf(28245,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28243]) ).

cnf(28246,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28244]) ).

cnf(28247,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28245]) ).

cnf(28248,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28246]) ).

cnf(28249,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28247]) ).

cnf(28250,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28248]) ).

cnf(28251,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28249]) ).

cnf(28252,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28250]) ).

cnf(28253,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28251]) ).

cnf(28254,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,28252]) ).

cnf(28255,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,28253]) ).

cnf(28256,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28254]) ).

cnf(28257,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28255]) ).

cnf(28258,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28256]) ).

cnf(28259,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28257]) ).

cnf(28260,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28258]) ).

cnf(28261,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28259]) ).

cnf(28262,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28260]) ).

cnf(28263,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28261]) ).

cnf(28264,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28262]) ).

cnf(28265,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28263]) ).

cnf(28266,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28264]) ).

cnf(28267,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28265]) ).

cnf(28268,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28266]) ).

cnf(28269,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28267]) ).

cnf(28270,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,28268]) ).

cnf(28271,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,28269]) ).

cnf(28272,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28270]) ).

cnf(28273,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28271]) ).

cnf(28274,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28272]) ).

cnf(28275,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28273]) ).

cnf(28276,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28274]) ).

cnf(28277,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28275]) ).

cnf(28278,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28276]) ).

cnf(28279,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28277]) ).

cnf(28280,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28278]) ).

cnf(28281,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28279]) ).

cnf(28282,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28280]) ).

cnf(28283,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28281]) ).

cnf(28284,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28282]) ).

cnf(28285,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28283]) ).

cnf(28286,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,28284]) ).

cnf(28287,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,28285]) ).

cnf(28288,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28286]) ).

cnf(28289,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28287]) ).

cnf(28290,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28288]) ).

cnf(28291,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28289]) ).

cnf(28292,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28290]) ).

cnf(28293,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28291]) ).

cnf(28294,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28292]) ).

cnf(28295,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28293]) ).

cnf(28296,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28294]) ).

cnf(28297,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28295]) ).

cnf(28298,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28296]) ).

cnf(28299,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28297]) ).

cnf(28300,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28298]) ).

cnf(28301,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28299]) ).

cnf(28302,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,28300]) ).

cnf(28303,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,28301]) ).

cnf(28304,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28302]) ).

cnf(28305,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28303]) ).

cnf(28306,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28304]) ).

cnf(28307,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28305]) ).

cnf(28308,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28306]) ).

cnf(28309,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28307]) ).

cnf(28310,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28308]) ).

cnf(28311,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28309]) ).

cnf(28312,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28310]) ).

cnf(28313,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28311]) ).

cnf(28314,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28312]) ).

cnf(28315,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28313]) ).

cnf(28316,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28314]) ).

cnf(28317,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28315]) ).

cnf(28318,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,28316]) ).

cnf(28319,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,28317]) ).

cnf(28320,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28318]) ).

cnf(28321,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28319]) ).

cnf(28322,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28320]) ).

cnf(28323,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28321]) ).

cnf(28324,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28322]) ).

cnf(28325,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28323]) ).

cnf(28326,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28324]) ).

cnf(28327,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28325]) ).

cnf(28328,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28326]) ).

cnf(28329,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28327]) ).

cnf(28330,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28328]) ).

cnf(28331,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28329]) ).

cnf(28332,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28330]) ).

cnf(28333,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28331]) ).

cnf(28334,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,28332]) ).

cnf(28335,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,28333]) ).

cnf(28336,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28334]) ).

cnf(28337,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28335]) ).

cnf(28338,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28336]) ).

cnf(28339,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28337]) ).

cnf(28340,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28338]) ).

cnf(28341,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28339]) ).

cnf(28342,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28340]) ).

cnf(28343,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28341]) ).

cnf(28344,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28342]) ).

cnf(28345,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28343]) ).

cnf(28346,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28344]) ).

cnf(28347,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28345]) ).

cnf(28348,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28346]) ).

cnf(28349,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28347]) ).

cnf(28350,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,28348]) ).

cnf(28351,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,28349]) ).

cnf(28352,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28350]) ).

cnf(28353,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28351]) ).

cnf(28354,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28352]) ).

cnf(28355,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28353]) ).

cnf(28356,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28354]) ).

cnf(28357,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28355]) ).

cnf(28358,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28356]) ).

cnf(28359,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28357]) ).

cnf(28360,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28358]) ).

cnf(28361,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28359]) ).

cnf(28362,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28360]) ).

cnf(28363,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28361]) ).

cnf(28364,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28362]) ).

cnf(28365,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28363]) ).

cnf(28366,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,28364]) ).

cnf(28367,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,28365]) ).

cnf(28368,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28366]) ).

cnf(28369,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28367]) ).

cnf(28370,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28368]) ).

cnf(28371,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28369]) ).

cnf(28372,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28370]) ).

cnf(28373,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28371]) ).

cnf(28374,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28372]) ).

cnf(28375,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28373]) ).

cnf(28376,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28374]) ).

cnf(28377,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28375]) ).

cnf(28378,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28376]) ).

cnf(28379,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28377]) ).

cnf(28380,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28378]) ).

cnf(28381,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28379]) ).

cnf(28382,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,28380]) ).

cnf(28383,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,28381]) ).

cnf(28384,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28382]) ).

cnf(28385,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28383]) ).

cnf(28386,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28384]) ).

cnf(28387,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28385]) ).

cnf(28388,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28386]) ).

cnf(28389,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28387]) ).

cnf(28390,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28388]) ).

cnf(28391,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28389]) ).

cnf(28392,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28390]) ).

cnf(28393,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28391]) ).

cnf(28394,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28392]) ).

cnf(28395,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28393]) ).

cnf(28396,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28394]) ).

cnf(28397,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28395]) ).

cnf(28398,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,28396]) ).

cnf(28399,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,28397]) ).

cnf(28400,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28398]) ).

cnf(28401,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28399]) ).

cnf(28402,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28400]) ).

cnf(28403,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28401]) ).

cnf(28404,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28402]) ).

cnf(28405,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28403]) ).

cnf(28406,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28404]) ).

cnf(28407,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28405]) ).

cnf(28408,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28406]) ).

cnf(28409,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28407]) ).

cnf(28410,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28408]) ).

cnf(28411,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28409]) ).

cnf(28412,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28410]) ).

cnf(28413,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28411]) ).

cnf(28414,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,28412]) ).

cnf(28415,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,28413]) ).

cnf(28416,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28414]) ).

cnf(28417,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28415]) ).

cnf(28418,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28416]) ).

cnf(28419,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28417]) ).

cnf(28420,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28418]) ).

cnf(28421,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28419]) ).

cnf(28422,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28420]) ).

cnf(28423,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28421]) ).

cnf(28424,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28422]) ).

cnf(28425,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28423]) ).

cnf(28426,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28424]) ).

cnf(28427,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28425]) ).

cnf(28428,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28426]) ).

cnf(28429,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28427]) ).

cnf(28430,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,28428]) ).

cnf(28431,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,28429]) ).

cnf(28432,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28430]) ).

cnf(28433,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28431]) ).

cnf(28434,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28432]) ).

cnf(28435,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28433]) ).

cnf(28436,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28434]) ).

cnf(28437,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28435]) ).

cnf(28438,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28436]) ).

cnf(28439,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28437]) ).

cnf(28440,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28438]) ).

cnf(28441,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28439]) ).

cnf(28442,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28440]) ).

cnf(28443,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28441]) ).

cnf(28444,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28442]) ).

cnf(28445,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28443]) ).

cnf(28446,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,28444]) ).

cnf(28447,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,28445]) ).

cnf(28448,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28446]) ).

cnf(28449,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28447]) ).

cnf(28450,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28448]) ).

cnf(28451,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28449]) ).

cnf(28452,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28450]) ).

cnf(28453,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28451]) ).

cnf(28454,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28452]) ).

cnf(28455,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28453]) ).

cnf(28456,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28454]) ).

cnf(28457,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28455]) ).

cnf(28458,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28456]) ).

cnf(28459,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28457]) ).

cnf(28460,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28458]) ).

cnf(28461,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28459]) ).

cnf(28462,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,28460]) ).

cnf(28463,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,28461]) ).

cnf(28464,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28462]) ).

cnf(28465,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28463]) ).

cnf(28466,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28464]) ).

cnf(28467,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28465]) ).

cnf(28468,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28466]) ).

cnf(28469,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28467]) ).

cnf(28470,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28468]) ).

cnf(28471,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28469]) ).

cnf(28472,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28470]) ).

cnf(28473,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28471]) ).

cnf(28474,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28472]) ).

cnf(28475,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28473]) ).

cnf(28476,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28474]) ).

cnf(28477,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28475]) ).

cnf(28478,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,28476]) ).

cnf(28479,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,28477]) ).

cnf(28480,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28478]) ).

cnf(28481,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28479]) ).

cnf(28482,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28480]) ).

cnf(28483,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28481]) ).

cnf(28484,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28482]) ).

cnf(28485,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28483]) ).

cnf(28486,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28484]) ).

cnf(28487,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28485]) ).

cnf(28488,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28486]) ).

cnf(28489,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28487]) ).

cnf(28490,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28488]) ).

cnf(28491,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28489]) ).

cnf(28492,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28490]) ).

cnf(28493,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28491]) ).

cnf(28494,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,28492]) ).

cnf(28495,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,28493]) ).

cnf(28496,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28494]) ).

cnf(28497,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28495]) ).

cnf(28498,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28496]) ).

cnf(28499,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28497]) ).

cnf(28500,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28498]) ).

cnf(28501,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28499]) ).

cnf(28502,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28500]) ).

cnf(28503,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28501]) ).

cnf(28504,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28502]) ).

cnf(28505,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28503]) ).

cnf(28506,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28504]) ).

cnf(28507,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28505]) ).

cnf(28508,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28506]) ).

cnf(28509,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28507]) ).

cnf(28510,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,28508]) ).

cnf(28511,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,28509]) ).

cnf(28512,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28510]) ).

cnf(28513,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28511]) ).

cnf(28514,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28512]) ).

cnf(28515,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28513]) ).

cnf(28516,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28514]) ).

cnf(28517,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28515]) ).

cnf(28518,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28516]) ).

cnf(28519,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28517]) ).

cnf(28520,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28518]) ).

cnf(28521,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28519]) ).

cnf(28522,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28520]) ).

cnf(28523,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28521]) ).

cnf(28524,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28522]) ).

cnf(28525,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28523]) ).

cnf(28526,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,28524]) ).

cnf(28527,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,28525]) ).

cnf(28528,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28526]) ).

cnf(28529,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28527]) ).

cnf(28530,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28528]) ).

cnf(28531,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28529]) ).

cnf(28532,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28530]) ).

cnf(28533,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28531]) ).

cnf(28534,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28532]) ).

cnf(28535,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28533]) ).

cnf(28536,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28534]) ).

cnf(28537,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28535]) ).

cnf(28538,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28536]) ).

cnf(28539,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28537]) ).

cnf(28540,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28538]) ).

cnf(28541,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28539]) ).

cnf(28542,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,28540]) ).

cnf(28543,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,28541]) ).

cnf(28544,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28542]) ).

cnf(28545,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28543]) ).

cnf(28546,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28544]) ).

cnf(28547,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28545]) ).

cnf(28548,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28546]) ).

cnf(28549,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28547]) ).

cnf(28550,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28548]) ).

cnf(28551,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28549]) ).

cnf(28552,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28550]) ).

cnf(28553,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28551]) ).

cnf(28554,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28552]) ).

cnf(28555,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28553]) ).

cnf(28556,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28554]) ).

cnf(28557,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28555]) ).

cnf(28558,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,28556]) ).

cnf(28559,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,28557]) ).

cnf(28560,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28558]) ).

cnf(28561,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28559]) ).

cnf(28562,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28560]) ).

cnf(28563,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28561]) ).

cnf(28564,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28562]) ).

cnf(28565,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28563]) ).

cnf(28566,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28564]) ).

cnf(28567,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28565]) ).

cnf(28568,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28566]) ).

cnf(28569,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28567]) ).

cnf(28570,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28568]) ).

cnf(28571,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28569]) ).

cnf(28572,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28570]) ).

cnf(28573,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28571]) ).

cnf(28574,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,28572]) ).

cnf(28575,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,28573]) ).

cnf(28576,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28574]) ).

cnf(28577,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28575]) ).

cnf(28578,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28576]) ).

cnf(28579,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28577]) ).

cnf(28580,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28578]) ).

cnf(28581,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28579]) ).

cnf(28582,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28580]) ).

cnf(28583,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28581]) ).

cnf(28584,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28582]) ).

cnf(28585,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28583]) ).

cnf(28586,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28584]) ).

cnf(28587,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28585]) ).

cnf(28588,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28586]) ).

cnf(28589,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28587]) ).

cnf(28590,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,28588]) ).

cnf(28591,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,28589]) ).

cnf(28592,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28590]) ).

cnf(28593,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28591]) ).

cnf(28594,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28592]) ).

cnf(28595,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28593]) ).

cnf(28596,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28594]) ).

cnf(28597,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28595]) ).

cnf(28598,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28596]) ).

cnf(28599,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28597]) ).

cnf(28600,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28598]) ).

cnf(28601,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28599]) ).

cnf(28602,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28600]) ).

cnf(28603,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28601]) ).

cnf(28604,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28602]) ).

cnf(28605,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28603]) ).

cnf(28606,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,28604]) ).

cnf(28607,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,28605]) ).

cnf(28608,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28606]) ).

cnf(28609,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28607]) ).

cnf(28610,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28608]) ).

cnf(28611,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28609]) ).

cnf(28612,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28610]) ).

cnf(28613,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28611]) ).

cnf(28614,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28612]) ).

cnf(28615,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28613]) ).

cnf(28616,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28614]) ).

cnf(28617,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28615]) ).

cnf(28618,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28616]) ).

cnf(28619,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28617]) ).

cnf(28620,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28618]) ).

cnf(28621,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28619]) ).

cnf(28622,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,28620]) ).

cnf(28623,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,28621]) ).

cnf(28624,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28622]) ).

cnf(28625,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28623]) ).

cnf(28626,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28624]) ).

cnf(28627,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28625]) ).

cnf(28628,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28626]) ).

cnf(28629,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28627]) ).

cnf(28630,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28628]) ).

cnf(28631,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28629]) ).

cnf(28632,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28630]) ).

cnf(28633,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28631]) ).

cnf(28634,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28632]) ).

cnf(28635,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28633]) ).

cnf(28636,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28634]) ).

cnf(28637,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28635]) ).

cnf(28638,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,28636]) ).

cnf(28639,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,28637]) ).

cnf(28640,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28638]) ).

cnf(28641,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28639]) ).

cnf(28642,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28640]) ).

cnf(28643,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28641]) ).

cnf(28644,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28642]) ).

cnf(28645,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28643]) ).

cnf(28646,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28644]) ).

cnf(28647,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28645]) ).

cnf(28648,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28646]) ).

cnf(28649,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28647]) ).

cnf(28650,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28648]) ).

cnf(28651,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28649]) ).

cnf(28652,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28650]) ).

cnf(28653,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28651]) ).

cnf(28654,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,28652]) ).

cnf(28655,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,28653]) ).

cnf(28656,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28654]) ).

cnf(28657,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28655]) ).

cnf(28658,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28656]) ).

cnf(28659,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28657]) ).

cnf(28660,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28658]) ).

cnf(28661,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28659]) ).

cnf(28662,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28660]) ).

cnf(28663,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28661]) ).

cnf(28664,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28662]) ).

cnf(28665,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28663]) ).

cnf(28666,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28664]) ).

cnf(28667,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28665]) ).

cnf(28668,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28666]) ).

cnf(28669,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28667]) ).

cnf(28670,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,28668]) ).

cnf(28671,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,28669]) ).

cnf(28672,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28670]) ).

cnf(28673,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28671]) ).

cnf(28674,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28672]) ).

cnf(28675,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28673]) ).

cnf(28676,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28674]) ).

cnf(28677,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28675]) ).

cnf(28678,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28676]) ).

cnf(28679,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28677]) ).

cnf(28680,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28678]) ).

cnf(28681,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28679]) ).

cnf(28682,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28680]) ).

cnf(28683,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28681]) ).

cnf(28684,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28682]) ).

cnf(28685,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28683]) ).

cnf(28686,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,28684]) ).

cnf(28687,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,28685]) ).

cnf(28688,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28686]) ).

cnf(28689,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28687]) ).

cnf(28690,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28688]) ).

cnf(28691,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28689]) ).

cnf(28692,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28690]) ).

cnf(28693,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28691]) ).

cnf(28694,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28692]) ).

cnf(28695,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28693]) ).

cnf(28696,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28694]) ).

cnf(28697,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28695]) ).

cnf(28698,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28696]) ).

cnf(28699,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28697]) ).

cnf(28700,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28698]) ).

cnf(28701,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28699]) ).

cnf(28702,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[14,28700]) ).

cnf(28703,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[14,28701]) ).

cnf(28704,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28702]) ).

cnf(28705,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28703]) ).

cnf(28706,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28704]) ).

cnf(28707,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28705]) ).

cnf(28708,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28706]) ).

cnf(28709,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28707]) ).

cnf(28710,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28708]) ).

cnf(28711,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28709]) ).

cnf(28712,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28710]) ).

cnf(28713,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28711]) ).

cnf(28714,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28712]) ).

cnf(28715,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28713]) ).

cnf(28716,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28714]) ).

cnf(28717,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28715]) ).

cnf(28718,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,28716]) ).

cnf(28719,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,28717]) ).

cnf(28720,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28718]) ).

cnf(28721,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28719]) ).

cnf(28722,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28720]) ).

cnf(28723,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28721]) ).

cnf(28724,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28722]) ).

cnf(28725,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28723]) ).

cnf(28726,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28724]) ).

cnf(28727,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28725]) ).

cnf(28728,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28726]) ).

cnf(28729,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28727]) ).

cnf(28730,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28728]) ).

cnf(28731,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28729]) ).

cnf(28732,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28730]) ).

cnf(28733,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28731]) ).

cnf(28734,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,28732]) ).

cnf(28735,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,28733]) ).

cnf(28736,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28734]) ).

cnf(28737,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28735]) ).

cnf(28738,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28736]) ).

cnf(28739,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28737]) ).

cnf(28740,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28738]) ).

cnf(28741,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28739]) ).

cnf(28742,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28740]) ).

cnf(28743,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28741]) ).

cnf(28744,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28742]) ).

cnf(28745,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28743]) ).

cnf(28746,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28744]) ).

cnf(28747,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28745]) ).

cnf(28748,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28746]) ).

cnf(28749,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28747]) ).

cnf(28750,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,28748]) ).

cnf(28751,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,28749]) ).

cnf(28752,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28750]) ).

cnf(28753,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28751]) ).

cnf(28754,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28752]) ).

cnf(28755,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28753]) ).

cnf(28756,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28754]) ).

cnf(28757,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28755]) ).

cnf(28758,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28756]) ).

cnf(28759,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28757]) ).

cnf(28760,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28758]) ).

cnf(28761,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28759]) ).

cnf(28762,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28760]) ).

cnf(28763,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28761]) ).

cnf(28764,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28762]) ).

cnf(28765,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28763]) ).

cnf(28766,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,28764]) ).

cnf(28767,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,28765]) ).

cnf(28768,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28766]) ).

cnf(28769,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28767]) ).

cnf(28770,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28768]) ).

cnf(28771,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28769]) ).

cnf(28772,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28770]) ).

cnf(28773,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28771]) ).

cnf(28774,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28772]) ).

cnf(28775,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28773]) ).

cnf(28776,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28774]) ).

cnf(28777,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28775]) ).

cnf(28778,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28776]) ).

cnf(28779,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28777]) ).

cnf(28780,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28778]) ).

cnf(28781,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28779]) ).

cnf(28782,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,28780]) ).

cnf(28783,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,28781]) ).

cnf(28784,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28782]) ).

cnf(28785,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28783]) ).

cnf(28786,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28784]) ).

cnf(28787,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28785]) ).

cnf(28788,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28786]) ).

cnf(28789,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28787]) ).

cnf(28790,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28788]) ).

cnf(28791,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28789]) ).

cnf(28792,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28790]) ).

cnf(28793,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28791]) ).

cnf(28794,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28792]) ).

cnf(28795,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28793]) ).

cnf(28796,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28794]) ).

cnf(28797,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28795]) ).

cnf(28798,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,28796]) ).

cnf(28799,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,28797]) ).

cnf(28800,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28798]) ).

cnf(28801,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28799]) ).

cnf(28802,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28800]) ).

cnf(28803,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28801]) ).

cnf(28804,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28802]) ).

cnf(28805,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28803]) ).

cnf(28806,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28804]) ).

cnf(28807,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28805]) ).

cnf(28808,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28806]) ).

cnf(28809,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28807]) ).

cnf(28810,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28808]) ).

cnf(28811,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28809]) ).

cnf(28812,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28810]) ).

cnf(28813,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28811]) ).

cnf(28814,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,28812]) ).

cnf(28815,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,28813]) ).

cnf(28816,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28814]) ).

cnf(28817,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28815]) ).

cnf(28818,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28816]) ).

cnf(28819,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28817]) ).

cnf(28820,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28818]) ).

cnf(28821,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28819]) ).

cnf(28822,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28820]) ).

cnf(28823,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28821]) ).

cnf(28824,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28822]) ).

cnf(28825,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28823]) ).

cnf(28826,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28824]) ).

cnf(28827,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28825]) ).

cnf(28828,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28826]) ).

cnf(28829,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28827]) ).

cnf(28830,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,28828]) ).

cnf(28831,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,28829]) ).

cnf(28832,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28830]) ).

cnf(28833,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28831]) ).

cnf(28834,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28832]) ).

cnf(28835,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28833]) ).

cnf(28836,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28834]) ).

cnf(28837,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28835]) ).

cnf(28838,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28836]) ).

cnf(28839,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28837]) ).

cnf(28840,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28838]) ).

cnf(28841,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28839]) ).

cnf(28842,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28840]) ).

cnf(28843,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28841]) ).

cnf(28844,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28842]) ).

cnf(28845,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28843]) ).

cnf(28846,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,28844]) ).

cnf(28847,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,28845]) ).

cnf(28848,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28846]) ).

cnf(28849,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28847]) ).

cnf(28850,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28848]) ).

cnf(28851,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28849]) ).

cnf(28852,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28850]) ).

cnf(28853,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28851]) ).

cnf(28854,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28852]) ).

cnf(28855,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28853]) ).

cnf(28856,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28854]) ).

cnf(28857,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28855]) ).

cnf(28858,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28856]) ).

cnf(28859,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28857]) ).

cnf(28860,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28858]) ).

cnf(28861,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28859]) ).

cnf(28862,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,28860]) ).

cnf(28863,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,28861]) ).

cnf(28864,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28862]) ).

cnf(28865,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28863]) ).

cnf(28866,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28864]) ).

cnf(28867,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28865]) ).

cnf(28868,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28866]) ).

cnf(28869,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28867]) ).

cnf(28870,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28868]) ).

cnf(28871,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28869]) ).

cnf(28872,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28870]) ).

cnf(28873,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28871]) ).

cnf(28874,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28872]) ).

cnf(28875,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28873]) ).

cnf(28876,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28874]) ).

cnf(28877,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28875]) ).

cnf(28878,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,28876]) ).

cnf(28879,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,28877]) ).

cnf(28880,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28878]) ).

cnf(28881,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28879]) ).

cnf(28882,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28880]) ).

cnf(28883,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28881]) ).

cnf(28884,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28882]) ).

cnf(28885,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28883]) ).

cnf(28886,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28884]) ).

cnf(28887,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28885]) ).

cnf(28888,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28886]) ).

cnf(28889,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28887]) ).

cnf(28890,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28888]) ).

cnf(28891,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28889]) ).

cnf(28892,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28890]) ).

cnf(28893,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28891]) ).

cnf(28894,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,28892]) ).

cnf(28895,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,28893]) ).

cnf(28896,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28894]) ).

cnf(28897,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28895]) ).

cnf(28898,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28896]) ).

cnf(28899,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28897]) ).

cnf(28900,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28898]) ).

cnf(28901,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28899]) ).

cnf(28902,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28900]) ).

cnf(28903,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28901]) ).

cnf(28904,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28902]) ).

cnf(28905,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28903]) ).

cnf(28906,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28904]) ).

cnf(28907,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28905]) ).

cnf(28908,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28906]) ).

cnf(28909,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28907]) ).

cnf(28910,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,28908]) ).

cnf(28911,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,28909]) ).

cnf(28912,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28910]) ).

cnf(28913,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28911]) ).

cnf(28914,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28912]) ).

cnf(28915,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28913]) ).

cnf(28916,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28914]) ).

cnf(28917,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28915]) ).

cnf(28918,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28916]) ).

cnf(28919,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28917]) ).

cnf(28920,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28918]) ).

cnf(28921,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28919]) ).

cnf(28922,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28920]) ).

cnf(28923,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28921]) ).

cnf(28924,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28922]) ).

cnf(28925,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28923]) ).

cnf(28926,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,28924]) ).

cnf(28927,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,28925]) ).

cnf(28928,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28926]) ).

cnf(28929,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28927]) ).

cnf(28930,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28928]) ).

cnf(28931,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28929]) ).

cnf(28932,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28930]) ).

cnf(28933,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28931]) ).

cnf(28934,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28932]) ).

cnf(28935,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28933]) ).

cnf(28936,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28934]) ).

cnf(28937,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28935]) ).

cnf(28938,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28936]) ).

cnf(28939,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28937]) ).

cnf(28940,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28938]) ).

cnf(28941,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28939]) ).

cnf(28942,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,28940]) ).

cnf(28943,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,28941]) ).

cnf(28944,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28942]) ).

cnf(28945,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28943]) ).

cnf(28946,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28944]) ).

cnf(28947,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28945]) ).

cnf(28948,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28946]) ).

cnf(28949,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28947]) ).

cnf(28950,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28948]) ).

cnf(28951,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28949]) ).

cnf(28952,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28950]) ).

cnf(28953,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28951]) ).

cnf(28954,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28952]) ).

cnf(28955,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28953]) ).

cnf(28956,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28954]) ).

cnf(28957,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28955]) ).

cnf(28958,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,28956]) ).

cnf(28959,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,28957]) ).

cnf(28960,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28958]) ).

cnf(28961,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28959]) ).

cnf(28962,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28960]) ).

cnf(28963,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28961]) ).

cnf(28964,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28962]) ).

cnf(28965,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28963]) ).

cnf(28966,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28964]) ).

cnf(28967,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28965]) ).

cnf(28968,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28966]) ).

cnf(28969,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28967]) ).

cnf(28970,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28968]) ).

cnf(28971,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28969]) ).

cnf(28972,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28970]) ).

cnf(28973,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28971]) ).

cnf(28974,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,28972]) ).

cnf(28975,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,28973]) ).

cnf(28976,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28974]) ).

cnf(28977,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28975]) ).

cnf(28978,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28976]) ).

cnf(28979,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28977]) ).

cnf(28980,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28978]) ).

cnf(28981,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28979]) ).

cnf(28982,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28980]) ).

cnf(28983,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28981]) ).

cnf(28984,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28982]) ).

cnf(28985,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28983]) ).

cnf(28986,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28984]) ).

cnf(28987,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28985]) ).

cnf(28988,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28986]) ).

cnf(28989,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28987]) ).

cnf(28990,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,28988]) ).

cnf(28991,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,28989]) ).

cnf(28992,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28990]) ).

cnf(28993,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28991]) ).

cnf(28994,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,28992]) ).

cnf(28995,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,28993]) ).

cnf(28996,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28994]) ).

cnf(28997,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28995]) ).

cnf(28998,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,28996]) ).

cnf(28999,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,28997]) ).

cnf(29000,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,28998]) ).

cnf(29001,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,28999]) ).

cnf(29002,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29000]) ).

cnf(29003,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29001]) ).

cnf(29004,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29002]) ).

cnf(29005,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29003]) ).

cnf(29006,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,29004]) ).

cnf(29007,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,29005]) ).

cnf(29008,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29006]) ).

cnf(29009,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29007]) ).

cnf(29010,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29008]) ).

cnf(29011,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29009]) ).

cnf(29012,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29010]) ).

cnf(29013,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29011]) ).

cnf(29014,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29012]) ).

cnf(29015,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29013]) ).

cnf(29016,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29014]) ).

cnf(29017,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29015]) ).

cnf(29018,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29016]) ).

cnf(29019,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29017]) ).

cnf(29020,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29018]) ).

cnf(29021,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29019]) ).

cnf(29022,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,29020]) ).

cnf(29023,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,29021]) ).

cnf(29024,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29022]) ).

cnf(29025,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29023]) ).

cnf(29026,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29024]) ).

cnf(29027,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29025]) ).

cnf(29028,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29026]) ).

cnf(29029,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29027]) ).

cnf(29030,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29028]) ).

cnf(29031,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29029]) ).

cnf(29032,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29030]) ).

cnf(29033,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29031]) ).

cnf(29034,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29032]) ).

cnf(29035,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29033]) ).

cnf(29036,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29034]) ).

cnf(29037,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29035]) ).

cnf(29038,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,29036]) ).

cnf(29039,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,29037]) ).

cnf(29040,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29038]) ).

cnf(29041,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29039]) ).

cnf(29042,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29040]) ).

cnf(29043,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29041]) ).

cnf(29044,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29042]) ).

cnf(29045,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29043]) ).

cnf(29046,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29044]) ).

cnf(29047,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29045]) ).

cnf(29048,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29046]) ).

cnf(29049,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29047]) ).

cnf(29050,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29048]) ).

cnf(29051,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29049]) ).

cnf(29052,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29050]) ).

cnf(29053,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29051]) ).

cnf(29054,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,29052]) ).

cnf(29055,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,29053]) ).

cnf(29056,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29054]) ).

cnf(29057,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29055]) ).

cnf(29058,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29056]) ).

cnf(29059,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29057]) ).

cnf(29060,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29058]) ).

cnf(29061,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29059]) ).

cnf(29062,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29060]) ).

cnf(29063,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29061]) ).

cnf(29064,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29062]) ).

cnf(29065,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29063]) ).

cnf(29066,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29064]) ).

cnf(29067,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29065]) ).

cnf(29068,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29066]) ).

cnf(29069,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29067]) ).

cnf(29070,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,29068]) ).

cnf(29071,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,29069]) ).

cnf(29072,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29070]) ).

cnf(29073,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29071]) ).

cnf(29074,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29072]) ).

cnf(29075,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29073]) ).

cnf(29076,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29074]) ).

cnf(29077,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29075]) ).

cnf(29078,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29076]) ).

cnf(29079,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29077]) ).

cnf(29080,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29078]) ).

cnf(29081,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29079]) ).

cnf(29082,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29080]) ).

cnf(29083,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29081]) ).

cnf(29084,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29082]) ).

cnf(29085,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29083]) ).

cnf(29086,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,29084]) ).

cnf(29087,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,29085]) ).

cnf(29088,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29086]) ).

cnf(29089,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29087]) ).

cnf(29090,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29088]) ).

cnf(29091,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29089]) ).

cnf(29092,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29090]) ).

cnf(29093,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29091]) ).

cnf(29094,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29092]) ).

cnf(29095,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29093]) ).

cnf(29096,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29094]) ).

cnf(29097,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29095]) ).

cnf(29098,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29096]) ).

cnf(29099,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29097]) ).

cnf(29100,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29098]) ).

cnf(29101,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29099]) ).

cnf(29102,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,29100]) ).

cnf(29103,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,29101]) ).

cnf(29104,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29102]) ).

cnf(29105,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29103]) ).

cnf(29106,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29104]) ).

cnf(29107,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29105]) ).

cnf(29108,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29106]) ).

cnf(29109,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29107]) ).

cnf(29110,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29108]) ).

cnf(29111,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29109]) ).

cnf(29112,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29110]) ).

cnf(29113,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29111]) ).

cnf(29114,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29112]) ).

cnf(29115,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29113]) ).

cnf(29116,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29114]) ).

cnf(29117,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29115]) ).

cnf(29118,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,29116]) ).

cnf(29119,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,29117]) ).

cnf(29120,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29118]) ).

cnf(29121,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29119]) ).

cnf(29122,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29120]) ).

cnf(29123,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29121]) ).

cnf(29124,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29122]) ).

cnf(29125,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29123]) ).

cnf(29126,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29124]) ).

cnf(29127,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29125]) ).

cnf(29128,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29126]) ).

cnf(29129,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29127]) ).

cnf(29130,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29128]) ).

cnf(29131,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29129]) ).

cnf(29132,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29130]) ).

cnf(29133,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29131]) ).

cnf(29134,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,29132]) ).

cnf(29135,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,29133]) ).

cnf(29136,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29134]) ).

cnf(29137,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29135]) ).

cnf(29138,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29136]) ).

cnf(29139,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29137]) ).

cnf(29140,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29138]) ).

cnf(29141,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29139]) ).

cnf(29142,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29140]) ).

cnf(29143,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29141]) ).

cnf(29144,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29142]) ).

cnf(29145,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29143]) ).

cnf(29146,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29144]) ).

cnf(29147,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29145]) ).

cnf(29148,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29146]) ).

cnf(29149,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29147]) ).

cnf(29150,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,29148]) ).

cnf(29151,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,29149]) ).

cnf(29152,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29150]) ).

cnf(29153,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29151]) ).

cnf(29154,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29152]) ).

cnf(29155,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29153]) ).

cnf(29156,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29154]) ).

cnf(29157,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29155]) ).

cnf(29158,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29156]) ).

cnf(29159,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29157]) ).

cnf(29160,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29158]) ).

cnf(29161,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29159]) ).

cnf(29162,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29160]) ).

cnf(29163,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29161]) ).

cnf(29164,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29162]) ).

cnf(29165,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29163]) ).

cnf(29166,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,29164]) ).

cnf(29167,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,29165]) ).

cnf(29168,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29166]) ).

cnf(29169,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29167]) ).

cnf(29170,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29168]) ).

cnf(29171,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29169]) ).

cnf(29172,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29170]) ).

cnf(29173,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29171]) ).

cnf(29174,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29172]) ).

cnf(29175,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29173]) ).

cnf(29176,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29174]) ).

cnf(29177,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29175]) ).

cnf(29178,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29176]) ).

cnf(29179,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29177]) ).

cnf(29180,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29178]) ).

cnf(29181,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29179]) ).

cnf(29182,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,29180]) ).

cnf(29183,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,29181]) ).

cnf(29184,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29182]) ).

cnf(29185,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29183]) ).

cnf(29186,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29184]) ).

cnf(29187,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29185]) ).

cnf(29188,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29186]) ).

cnf(29189,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29187]) ).

cnf(29190,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29188]) ).

cnf(29191,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29189]) ).

cnf(29192,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29190]) ).

cnf(29193,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29191]) ).

cnf(29194,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29192]) ).

cnf(29195,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29193]) ).

cnf(29196,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29194]) ).

cnf(29197,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29195]) ).

cnf(29198,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,29196]) ).

cnf(29199,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,29197]) ).

cnf(29200,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29198]) ).

cnf(29201,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29199]) ).

cnf(29202,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29200]) ).

cnf(29203,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29201]) ).

cnf(29204,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29202]) ).

cnf(29205,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29203]) ).

cnf(29206,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29204]) ).

cnf(29207,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29205]) ).

cnf(29208,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29206]) ).

cnf(29209,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29207]) ).

cnf(29210,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29208]) ).

cnf(29211,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29209]) ).

cnf(29212,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29210]) ).

cnf(29213,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29211]) ).

cnf(29214,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[11,29212]) ).

cnf(29215,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[11,29213]) ).

cnf(29216,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29214]) ).

cnf(29217,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29215]) ).

cnf(29218,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29216]) ).

cnf(29219,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29217]) ).

cnf(29220,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29218]) ).

cnf(29221,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29219]) ).

cnf(29222,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29220]) ).

cnf(29223,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29221]) ).

cnf(29224,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29222]) ).

cnf(29225,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29223]) ).

cnf(29226,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29224]) ).

cnf(29227,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29225]) ).

cnf(29228,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29226]) ).

cnf(29229,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29227]) ).

cnf(29230,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,29228]) ).

cnf(29231,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,29229]) ).

cnf(29232,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29230]) ).

cnf(29233,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29231]) ).

cnf(29234,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29232]) ).

cnf(29235,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29233]) ).

cnf(29236,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29234]) ).

cnf(29237,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29235]) ).

cnf(29238,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29236]) ).

cnf(29239,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29237]) ).

cnf(29240,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29238]) ).

cnf(29241,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29239]) ).

cnf(29242,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29240]) ).

cnf(29243,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29241]) ).

cnf(29244,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29242]) ).

cnf(29245,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29243]) ).

cnf(29246,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,29244]) ).

cnf(29247,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,29245]) ).

cnf(29248,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29246]) ).

cnf(29249,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29247]) ).

cnf(29250,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29248]) ).

cnf(29251,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29249]) ).

cnf(29252,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29250]) ).

cnf(29253,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29251]) ).

cnf(29254,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29252]) ).

cnf(29255,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29253]) ).

cnf(29256,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29254]) ).

cnf(29257,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29255]) ).

cnf(29258,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29256]) ).

cnf(29259,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29257]) ).

cnf(29260,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29258]) ).

cnf(29261,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29259]) ).

cnf(29262,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,29260]) ).

cnf(29263,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,29261]) ).

cnf(29264,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29262]) ).

cnf(29265,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29263]) ).

cnf(29266,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29264]) ).

cnf(29267,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29265]) ).

cnf(29268,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29266]) ).

cnf(29269,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29267]) ).

cnf(29270,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29268]) ).

cnf(29271,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29269]) ).

cnf(29272,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29270]) ).

cnf(29273,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29271]) ).

cnf(29274,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29272]) ).

cnf(29275,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29273]) ).

cnf(29276,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29274]) ).

cnf(29277,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29275]) ).

cnf(29278,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,29276]) ).

cnf(29279,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,29277]) ).

cnf(29280,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29278]) ).

cnf(29281,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29279]) ).

cnf(29282,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29280]) ).

cnf(29283,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29281]) ).

cnf(29284,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29282]) ).

cnf(29285,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29283]) ).

cnf(29286,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29284]) ).

cnf(29287,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29285]) ).

cnf(29288,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29286]) ).

cnf(29289,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29287]) ).

cnf(29290,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29288]) ).

cnf(29291,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29289]) ).

cnf(29292,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29290]) ).

cnf(29293,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29291]) ).

cnf(29294,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,29292]) ).

cnf(29295,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,29293]) ).

cnf(29296,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29294]) ).

cnf(29297,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29295]) ).

cnf(29298,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29296]) ).

cnf(29299,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29297]) ).

cnf(29300,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29298]) ).

cnf(29301,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29299]) ).

cnf(29302,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29300]) ).

cnf(29303,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29301]) ).

cnf(29304,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29302]) ).

cnf(29305,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29303]) ).

cnf(29306,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29304]) ).

cnf(29307,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29305]) ).

cnf(29308,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29306]) ).

cnf(29309,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29307]) ).

cnf(29310,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,29308]) ).

cnf(29311,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,29309]) ).

cnf(29312,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29310]) ).

cnf(29313,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29311]) ).

cnf(29314,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29312]) ).

cnf(29315,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29313]) ).

cnf(29316,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29314]) ).

cnf(29317,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29315]) ).

cnf(29318,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29316]) ).

cnf(29319,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29317]) ).

cnf(29320,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29318]) ).

cnf(29321,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29319]) ).

cnf(29322,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29320]) ).

cnf(29323,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29321]) ).

cnf(29324,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29322]) ).

cnf(29325,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29323]) ).

cnf(29326,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,29324]) ).

cnf(29327,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,29325]) ).

cnf(29328,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29326]) ).

cnf(29329,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29327]) ).

cnf(29330,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29328]) ).

cnf(29331,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29329]) ).

cnf(29332,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29330]) ).

cnf(29333,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29331]) ).

cnf(29334,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29332]) ).

cnf(29335,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29333]) ).

cnf(29336,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29334]) ).

cnf(29337,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29335]) ).

cnf(29338,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29336]) ).

cnf(29339,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29337]) ).

cnf(29340,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29338]) ).

cnf(29341,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29339]) ).

cnf(29342,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,29340]) ).

cnf(29343,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,29341]) ).

cnf(29344,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29342]) ).

cnf(29345,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29343]) ).

cnf(29346,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29344]) ).

cnf(29347,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29345]) ).

cnf(29348,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29346]) ).

cnf(29349,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29347]) ).

cnf(29350,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29348]) ).

cnf(29351,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29349]) ).

cnf(29352,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29350]) ).

cnf(29353,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29351]) ).

cnf(29354,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29352]) ).

cnf(29355,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29353]) ).

cnf(29356,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29354]) ).

cnf(29357,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29355]) ).

cnf(29358,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,29356]) ).

cnf(29359,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,29357]) ).

cnf(29360,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29358]) ).

cnf(29361,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29359]) ).

cnf(29362,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29360]) ).

cnf(29363,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29361]) ).

cnf(29364,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29362]) ).

cnf(29365,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29363]) ).

cnf(29366,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29364]) ).

cnf(29367,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29365]) ).

cnf(29368,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29366]) ).

cnf(29369,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29367]) ).

cnf(29370,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29368]) ).

cnf(29371,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29369]) ).

cnf(29372,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29370]) ).

cnf(29373,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29371]) ).

cnf(29374,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,29372]) ).

cnf(29375,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,29373]) ).

cnf(29376,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29374]) ).

cnf(29377,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29375]) ).

cnf(29378,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29376]) ).

cnf(29379,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29377]) ).

cnf(29380,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29378]) ).

cnf(29381,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29379]) ).

cnf(29382,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29380]) ).

cnf(29383,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29381]) ).

cnf(29384,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29382]) ).

cnf(29385,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29383]) ).

cnf(29386,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29384]) ).

cnf(29387,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29385]) ).

cnf(29388,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29386]) ).

cnf(29389,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29387]) ).

cnf(29390,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,29388]) ).

cnf(29391,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,29389]) ).

cnf(29392,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29390]) ).

cnf(29393,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29391]) ).

cnf(29394,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29392]) ).

cnf(29395,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29393]) ).

cnf(29396,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29394]) ).

cnf(29397,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29395]) ).

cnf(29398,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29396]) ).

cnf(29399,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29397]) ).

cnf(29400,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29398]) ).

cnf(29401,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29399]) ).

cnf(29402,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29400]) ).

cnf(29403,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29401]) ).

cnf(29404,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29402]) ).

cnf(29405,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29403]) ).

cnf(29406,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,29404]) ).

cnf(29407,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,29405]) ).

cnf(29408,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29406]) ).

cnf(29409,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29407]) ).

cnf(29410,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29408]) ).

cnf(29411,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29409]) ).

cnf(29412,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29410]) ).

cnf(29413,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29411]) ).

cnf(29414,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29412]) ).

cnf(29415,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29413]) ).

cnf(29416,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29414]) ).

cnf(29417,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29415]) ).

cnf(29418,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29416]) ).

cnf(29419,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29417]) ).

cnf(29420,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29418]) ).

cnf(29421,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29419]) ).

cnf(29422,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,29420]) ).

cnf(29423,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,29421]) ).

cnf(29424,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29422]) ).

cnf(29425,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29423]) ).

cnf(29426,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29424]) ).

cnf(29427,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29425]) ).

cnf(29428,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29426]) ).

cnf(29429,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29427]) ).

cnf(29430,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29428]) ).

cnf(29431,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29429]) ).

cnf(29432,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29430]) ).

cnf(29433,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29431]) ).

cnf(29434,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29432]) ).

cnf(29435,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29433]) ).

cnf(29436,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29434]) ).

cnf(29437,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29435]) ).

cnf(29438,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,29436]) ).

cnf(29439,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,29437]) ).

cnf(29440,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29438]) ).

cnf(29441,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29439]) ).

cnf(29442,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29440]) ).

cnf(29443,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29441]) ).

cnf(29444,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29442]) ).

cnf(29445,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29443]) ).

cnf(29446,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29444]) ).

cnf(29447,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29445]) ).

cnf(29448,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29446]) ).

cnf(29449,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29447]) ).

cnf(29450,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29448]) ).

cnf(29451,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29449]) ).

cnf(29452,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29450]) ).

cnf(29453,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29451]) ).

cnf(29454,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,29452]) ).

cnf(29455,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,29453]) ).

cnf(29456,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29454]) ).

cnf(29457,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29455]) ).

cnf(29458,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29456]) ).

cnf(29459,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29457]) ).

cnf(29460,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29458]) ).

cnf(29461,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29459]) ).

cnf(29462,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29460]) ).

cnf(29463,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29461]) ).

cnf(29464,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29462]) ).

cnf(29465,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29463]) ).

cnf(29466,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29464]) ).

cnf(29467,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29465]) ).

cnf(29468,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29466]) ).

cnf(29469,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29467]) ).

cnf(29470,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,29468]) ).

cnf(29471,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,29469]) ).

cnf(29472,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29470]) ).

cnf(29473,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29471]) ).

cnf(29474,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29472]) ).

cnf(29475,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29473]) ).

cnf(29476,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29474]) ).

cnf(29477,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29475]) ).

cnf(29478,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29476]) ).

cnf(29479,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29477]) ).

cnf(29480,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29478]) ).

cnf(29481,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29479]) ).

cnf(29482,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29480]) ).

cnf(29483,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29481]) ).

cnf(29484,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29482]) ).

cnf(29485,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29483]) ).

cnf(29486,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,29484]) ).

cnf(29487,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,29485]) ).

cnf(29488,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29486]) ).

cnf(29489,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29487]) ).

cnf(29490,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29488]) ).

cnf(29491,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29489]) ).

cnf(29492,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29490]) ).

cnf(29493,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29491]) ).

cnf(29494,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29492]) ).

cnf(29495,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29493]) ).

cnf(29496,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29494]) ).

cnf(29497,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29495]) ).

cnf(29498,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29496]) ).

cnf(29499,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29497]) ).

cnf(29500,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29498]) ).

cnf(29501,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29499]) ).

cnf(29502,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,29500]) ).

cnf(29503,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,29501]) ).

cnf(29504,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29502]) ).

cnf(29505,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29503]) ).

cnf(29506,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29504]) ).

cnf(29507,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29505]) ).

cnf(29508,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29506]) ).

cnf(29509,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29507]) ).

cnf(29510,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29508]) ).

cnf(29511,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29509]) ).

cnf(29512,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29510]) ).

cnf(29513,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29511]) ).

cnf(29514,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29512]) ).

cnf(29515,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29513]) ).

cnf(29516,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29514]) ).

cnf(29517,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29515]) ).

cnf(29518,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,29516]) ).

cnf(29519,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,29517]) ).

cnf(29520,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29518]) ).

cnf(29521,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29519]) ).

cnf(29522,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29520]) ).

cnf(29523,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29521]) ).

cnf(29524,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29522]) ).

cnf(29525,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29523]) ).

cnf(29526,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29524]) ).

cnf(29527,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29525]) ).

cnf(29528,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29526]) ).

cnf(29529,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29527]) ).

cnf(29530,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29528]) ).

cnf(29531,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29529]) ).

cnf(29532,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29530]) ).

cnf(29533,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29531]) ).

cnf(29534,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,29532]) ).

cnf(29535,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,29533]) ).

cnf(29536,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29534]) ).

cnf(29537,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29535]) ).

cnf(29538,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29536]) ).

cnf(29539,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29537]) ).

cnf(29540,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29538]) ).

cnf(29541,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29539]) ).

cnf(29542,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29540]) ).

cnf(29543,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29541]) ).

cnf(29544,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29542]) ).

cnf(29545,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29543]) ).

cnf(29546,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29544]) ).

cnf(29547,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29545]) ).

cnf(29548,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29546]) ).

cnf(29549,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29547]) ).

cnf(29550,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,29548]) ).

cnf(29551,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,29549]) ).

cnf(29552,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29550]) ).

cnf(29553,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29551]) ).

cnf(29554,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29552]) ).

cnf(29555,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29553]) ).

cnf(29556,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29554]) ).

cnf(29557,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29555]) ).

cnf(29558,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29556]) ).

cnf(29559,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29557]) ).

cnf(29560,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29558]) ).

cnf(29561,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29559]) ).

cnf(29562,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29560]) ).

cnf(29563,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29561]) ).

cnf(29564,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29562]) ).

cnf(29565,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29563]) ).

cnf(29566,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,29564]) ).

cnf(29567,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,29565]) ).

cnf(29568,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29566]) ).

cnf(29569,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29567]) ).

cnf(29570,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29568]) ).

cnf(29571,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29569]) ).

cnf(29572,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29570]) ).

cnf(29573,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29571]) ).

cnf(29574,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29572]) ).

cnf(29575,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29573]) ).

cnf(29576,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29574]) ).

cnf(29577,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29575]) ).

cnf(29578,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29576]) ).

cnf(29579,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29577]) ).

cnf(29580,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29578]) ).

cnf(29581,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29579]) ).

cnf(29582,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,29580]) ).

cnf(29583,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,29581]) ).

cnf(29584,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29582]) ).

cnf(29585,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29583]) ).

cnf(29586,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29584]) ).

cnf(29587,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29585]) ).

cnf(29588,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29586]) ).

cnf(29589,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29587]) ).

cnf(29590,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29588]) ).

cnf(29591,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29589]) ).

cnf(29592,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29590]) ).

cnf(29593,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29591]) ).

cnf(29594,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29592]) ).

cnf(29595,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29593]) ).

cnf(29596,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29594]) ).

cnf(29597,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29595]) ).

cnf(29598,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,29596]) ).

cnf(29599,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,29597]) ).

cnf(29600,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29598]) ).

cnf(29601,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29599]) ).

cnf(29602,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29600]) ).

cnf(29603,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29601]) ).

cnf(29604,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29602]) ).

cnf(29605,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29603]) ).

cnf(29606,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29604]) ).

cnf(29607,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29605]) ).

cnf(29608,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29606]) ).

cnf(29609,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29607]) ).

cnf(29610,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29608]) ).

cnf(29611,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29609]) ).

cnf(29612,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29610]) ).

cnf(29613,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29611]) ).

cnf(29614,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,29612]) ).

cnf(29615,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,29613]) ).

cnf(29616,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29614]) ).

cnf(29617,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29615]) ).

cnf(29618,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29616]) ).

cnf(29619,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29617]) ).

cnf(29620,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29618]) ).

cnf(29621,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29619]) ).

cnf(29622,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29620]) ).

cnf(29623,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29621]) ).

cnf(29624,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29622]) ).

cnf(29625,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29623]) ).

cnf(29626,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29624]) ).

cnf(29627,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29625]) ).

cnf(29628,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29626]) ).

cnf(29629,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29627]) ).

cnf(29630,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,29628]) ).

cnf(29631,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,29629]) ).

cnf(29632,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29630]) ).

cnf(29633,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29631]) ).

cnf(29634,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29632]) ).

cnf(29635,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29633]) ).

cnf(29636,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29634]) ).

cnf(29637,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29635]) ).

cnf(29638,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29636]) ).

cnf(29639,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29637]) ).

cnf(29640,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29638]) ).

cnf(29641,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29639]) ).

cnf(29642,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29640]) ).

cnf(29643,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29641]) ).

cnf(29644,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29642]) ).

cnf(29645,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29643]) ).

cnf(29646,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,29644]) ).

cnf(29647,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,29645]) ).

cnf(29648,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29646]) ).

cnf(29649,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29647]) ).

cnf(29650,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29648]) ).

cnf(29651,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29649]) ).

cnf(29652,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29650]) ).

cnf(29653,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29651]) ).

cnf(29654,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29652]) ).

cnf(29655,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29653]) ).

cnf(29656,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29654]) ).

cnf(29657,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29655]) ).

cnf(29658,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29656]) ).

cnf(29659,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29657]) ).

cnf(29660,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29658]) ).

cnf(29661,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29659]) ).

cnf(29662,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,29660]) ).

cnf(29663,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,29661]) ).

cnf(29664,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29662]) ).

cnf(29665,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29663]) ).

cnf(29666,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29664]) ).

cnf(29667,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29665]) ).

cnf(29668,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29666]) ).

cnf(29669,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29667]) ).

cnf(29670,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29668]) ).

cnf(29671,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29669]) ).

cnf(29672,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29670]) ).

cnf(29673,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29671]) ).

cnf(29674,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29672]) ).

cnf(29675,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29673]) ).

cnf(29676,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29674]) ).

cnf(29677,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29675]) ).

cnf(29678,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,29676]) ).

cnf(29679,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,29677]) ).

cnf(29680,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29678]) ).

cnf(29681,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29679]) ).

cnf(29682,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29680]) ).

cnf(29683,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29681]) ).

cnf(29684,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29682]) ).

cnf(29685,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29683]) ).

cnf(29686,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29684]) ).

cnf(29687,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29685]) ).

cnf(29688,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29686]) ).

cnf(29689,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29687]) ).

cnf(29690,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29688]) ).

cnf(29691,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29689]) ).

cnf(29692,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29690]) ).

cnf(29693,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29691]) ).

cnf(29694,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,29692]) ).

cnf(29695,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,29693]) ).

cnf(29696,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29694]) ).

cnf(29697,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29695]) ).

cnf(29698,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29696]) ).

cnf(29699,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29697]) ).

cnf(29700,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29698]) ).

cnf(29701,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29699]) ).

cnf(29702,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29700]) ).

cnf(29703,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29701]) ).

cnf(29704,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29702]) ).

cnf(29705,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29703]) ).

cnf(29706,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29704]) ).

cnf(29707,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29705]) ).

cnf(29708,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29706]) ).

cnf(29709,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29707]) ).

cnf(29710,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,29708]) ).

cnf(29711,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,29709]) ).

cnf(29712,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29710]) ).

cnf(29713,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29711]) ).

cnf(29714,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29712]) ).

cnf(29715,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29713]) ).

cnf(29716,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29714]) ).

cnf(29717,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29715]) ).

cnf(29718,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29716]) ).

cnf(29719,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29717]) ).

cnf(29720,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29718]) ).

cnf(29721,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29719]) ).

cnf(29722,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29720]) ).

cnf(29723,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29721]) ).

cnf(29724,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29722]) ).

cnf(29725,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29723]) ).

cnf(29726,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[12,29724]) ).

cnf(29727,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[12,29725]) ).

cnf(29728,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29726]) ).

cnf(29729,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29727]) ).

cnf(29730,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29728]) ).

cnf(29731,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29729]) ).

cnf(29732,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29730]) ).

cnf(29733,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29731]) ).

cnf(29734,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29732]) ).

cnf(29735,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29733]) ).

cnf(29736,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29734]) ).

cnf(29737,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29735]) ).

cnf(29738,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29736]) ).

cnf(29739,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29737]) ).

cnf(29740,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29738]) ).

cnf(29741,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29739]) ).

cnf(29742,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,29740]) ).

cnf(29743,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,29741]) ).

cnf(29744,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29742]) ).

cnf(29745,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29743]) ).

cnf(29746,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29744]) ).

cnf(29747,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29745]) ).

cnf(29748,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29746]) ).

cnf(29749,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29747]) ).

cnf(29750,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29748]) ).

cnf(29751,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29749]) ).

cnf(29752,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29750]) ).

cnf(29753,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29751]) ).

cnf(29754,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29752]) ).

cnf(29755,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29753]) ).

cnf(29756,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29754]) ).

cnf(29757,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29755]) ).

cnf(29758,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,29756]) ).

cnf(29759,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,29757]) ).

cnf(29760,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29758]) ).

cnf(29761,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29759]) ).

cnf(29762,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29760]) ).

cnf(29763,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29761]) ).

cnf(29764,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29762]) ).

cnf(29765,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29763]) ).

cnf(29766,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29764]) ).

cnf(29767,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29765]) ).

cnf(29768,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29766]) ).

cnf(29769,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29767]) ).

cnf(29770,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29768]) ).

cnf(29771,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29769]) ).

cnf(29772,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29770]) ).

cnf(29773,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29771]) ).

cnf(29774,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,29772]) ).

cnf(29775,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,29773]) ).

cnf(29776,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29774]) ).

cnf(29777,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29775]) ).

cnf(29778,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29776]) ).

cnf(29779,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29777]) ).

cnf(29780,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29778]) ).

cnf(29781,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29779]) ).

cnf(29782,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29780]) ).

cnf(29783,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29781]) ).

cnf(29784,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29782]) ).

cnf(29785,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29783]) ).

cnf(29786,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29784]) ).

cnf(29787,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29785]) ).

cnf(29788,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29786]) ).

cnf(29789,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29787]) ).

cnf(29790,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,29788]) ).

cnf(29791,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,29789]) ).

cnf(29792,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29790]) ).

cnf(29793,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29791]) ).

cnf(29794,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29792]) ).

cnf(29795,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29793]) ).

cnf(29796,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29794]) ).

cnf(29797,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29795]) ).

cnf(29798,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29796]) ).

cnf(29799,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29797]) ).

cnf(29800,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29798]) ).

cnf(29801,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29799]) ).

cnf(29802,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29800]) ).

cnf(29803,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29801]) ).

cnf(29804,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29802]) ).

cnf(29805,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29803]) ).

cnf(29806,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,29804]) ).

cnf(29807,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,29805]) ).

cnf(29808,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29806]) ).

cnf(29809,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29807]) ).

cnf(29810,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29808]) ).

cnf(29811,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29809]) ).

cnf(29812,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29810]) ).

cnf(29813,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29811]) ).

cnf(29814,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29812]) ).

cnf(29815,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29813]) ).

cnf(29816,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29814]) ).

cnf(29817,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29815]) ).

cnf(29818,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29816]) ).

cnf(29819,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29817]) ).

cnf(29820,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29818]) ).

cnf(29821,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29819]) ).

cnf(29822,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,29820]) ).

cnf(29823,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,29821]) ).

cnf(29824,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29822]) ).

cnf(29825,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29823]) ).

cnf(29826,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29824]) ).

cnf(29827,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29825]) ).

cnf(29828,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29826]) ).

cnf(29829,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29827]) ).

cnf(29830,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29828]) ).

cnf(29831,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29829]) ).

cnf(29832,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29830]) ).

cnf(29833,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29831]) ).

cnf(29834,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29832]) ).

cnf(29835,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29833]) ).

cnf(29836,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29834]) ).

cnf(29837,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29835]) ).

cnf(29838,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,29836]) ).

cnf(29839,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,29837]) ).

cnf(29840,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29838]) ).

cnf(29841,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29839]) ).

cnf(29842,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29840]) ).

cnf(29843,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29841]) ).

cnf(29844,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29842]) ).

cnf(29845,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29843]) ).

cnf(29846,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29844]) ).

cnf(29847,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29845]) ).

cnf(29848,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29846]) ).

cnf(29849,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29847]) ).

cnf(29850,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29848]) ).

cnf(29851,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29849]) ).

cnf(29852,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29850]) ).

cnf(29853,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29851]) ).

cnf(29854,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,29852]) ).

cnf(29855,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,29853]) ).

cnf(29856,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29854]) ).

cnf(29857,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29855]) ).

cnf(29858,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29856]) ).

cnf(29859,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29857]) ).

cnf(29860,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29858]) ).

cnf(29861,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29859]) ).

cnf(29862,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29860]) ).

cnf(29863,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29861]) ).

cnf(29864,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29862]) ).

cnf(29865,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29863]) ).

cnf(29866,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29864]) ).

cnf(29867,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29865]) ).

cnf(29868,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29866]) ).

cnf(29869,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29867]) ).

cnf(29870,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,29868]) ).

cnf(29871,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,29869]) ).

cnf(29872,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29870]) ).

cnf(29873,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29871]) ).

cnf(29874,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29872]) ).

cnf(29875,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29873]) ).

cnf(29876,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29874]) ).

cnf(29877,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29875]) ).

cnf(29878,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29876]) ).

cnf(29879,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29877]) ).

cnf(29880,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29878]) ).

cnf(29881,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29879]) ).

cnf(29882,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29880]) ).

cnf(29883,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29881]) ).

cnf(29884,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29882]) ).

cnf(29885,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29883]) ).

cnf(29886,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,29884]) ).

cnf(29887,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,29885]) ).

cnf(29888,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29886]) ).

cnf(29889,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29887]) ).

cnf(29890,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29888]) ).

cnf(29891,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29889]) ).

cnf(29892,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29890]) ).

cnf(29893,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29891]) ).

cnf(29894,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29892]) ).

cnf(29895,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29893]) ).

cnf(29896,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29894]) ).

cnf(29897,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29895]) ).

cnf(29898,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29896]) ).

cnf(29899,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29897]) ).

cnf(29900,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29898]) ).

cnf(29901,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29899]) ).

cnf(29902,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,29900]) ).

cnf(29903,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,29901]) ).

cnf(29904,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29902]) ).

cnf(29905,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29903]) ).

cnf(29906,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29904]) ).

cnf(29907,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29905]) ).

cnf(29908,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29906]) ).

cnf(29909,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29907]) ).

cnf(29910,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29908]) ).

cnf(29911,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29909]) ).

cnf(29912,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29910]) ).

cnf(29913,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29911]) ).

cnf(29914,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29912]) ).

cnf(29915,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29913]) ).

cnf(29916,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29914]) ).

cnf(29917,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29915]) ).

cnf(29918,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,29916]) ).

cnf(29919,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,29917]) ).

cnf(29920,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29918]) ).

cnf(29921,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29919]) ).

cnf(29922,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29920]) ).

cnf(29923,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29921]) ).

cnf(29924,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29922]) ).

cnf(29925,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29923]) ).

cnf(29926,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29924]) ).

cnf(29927,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29925]) ).

cnf(29928,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29926]) ).

cnf(29929,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29927]) ).

cnf(29930,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29928]) ).

cnf(29931,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29929]) ).

cnf(29932,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29930]) ).

cnf(29933,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29931]) ).

cnf(29934,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,29932]) ).

cnf(29935,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,29933]) ).

cnf(29936,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29934]) ).

cnf(29937,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29935]) ).

cnf(29938,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29936]) ).

cnf(29939,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29937]) ).

cnf(29940,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29938]) ).

cnf(29941,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29939]) ).

cnf(29942,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29940]) ).

cnf(29943,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29941]) ).

cnf(29944,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29942]) ).

cnf(29945,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29943]) ).

cnf(29946,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29944]) ).

cnf(29947,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29945]) ).

cnf(29948,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29946]) ).

cnf(29949,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29947]) ).

cnf(29950,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,29948]) ).

cnf(29951,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,29949]) ).

cnf(29952,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29950]) ).

cnf(29953,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29951]) ).

cnf(29954,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29952]) ).

cnf(29955,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29953]) ).

cnf(29956,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29954]) ).

cnf(29957,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29955]) ).

cnf(29958,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29956]) ).

cnf(29959,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29957]) ).

cnf(29960,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29958]) ).

cnf(29961,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29959]) ).

cnf(29962,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29960]) ).

cnf(29963,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29961]) ).

cnf(29964,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29962]) ).

cnf(29965,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29963]) ).

cnf(29966,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,29964]) ).

cnf(29967,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,29965]) ).

cnf(29968,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29966]) ).

cnf(29969,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29967]) ).

cnf(29970,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29968]) ).

cnf(29971,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29969]) ).

cnf(29972,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29970]) ).

cnf(29973,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29971]) ).

cnf(29974,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29972]) ).

cnf(29975,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29973]) ).

cnf(29976,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29974]) ).

cnf(29977,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29975]) ).

cnf(29978,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29976]) ).

cnf(29979,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29977]) ).

cnf(29980,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29978]) ).

cnf(29981,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29979]) ).

cnf(29982,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,29980]) ).

cnf(29983,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,29981]) ).

cnf(29984,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29982]) ).

cnf(29985,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29983]) ).

cnf(29986,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29984]) ).

cnf(29987,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29985]) ).

cnf(29988,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29986]) ).

cnf(29989,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29987]) ).

cnf(29990,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,29988]) ).

cnf(29991,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,29989]) ).

cnf(29992,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29990]) ).

cnf(29993,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29991]) ).

cnf(29994,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,29992]) ).

cnf(29995,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,29993]) ).

cnf(29996,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29994]) ).

cnf(29997,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29995]) ).

cnf(29998,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,29996]) ).

cnf(29999,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,29997]) ).

cnf(30000,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,29998]) ).

cnf(30001,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,29999]) ).

cnf(30002,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30000]) ).

cnf(30003,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30001]) ).

cnf(30004,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30002]) ).

cnf(30005,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30003]) ).

cnf(30006,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30004]) ).

cnf(30007,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30005]) ).

cnf(30008,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30006]) ).

cnf(30009,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30007]) ).

cnf(30010,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30008]) ).

cnf(30011,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30009]) ).

cnf(30012,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30010]) ).

cnf(30013,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30011]) ).

cnf(30014,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,30012]) ).

cnf(30015,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,30013]) ).

cnf(30016,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30014]) ).

cnf(30017,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30015]) ).

cnf(30018,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30016]) ).

cnf(30019,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30017]) ).

cnf(30020,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30018]) ).

cnf(30021,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30019]) ).

cnf(30022,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30020]) ).

cnf(30023,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30021]) ).

cnf(30024,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30022]) ).

cnf(30025,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30023]) ).

cnf(30026,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30024]) ).

cnf(30027,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30025]) ).

cnf(30028,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30026]) ).

cnf(30029,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30027]) ).

cnf(30030,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,30028]) ).

cnf(30031,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,30029]) ).

cnf(30032,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30030]) ).

cnf(30033,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30031]) ).

cnf(30034,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30032]) ).

cnf(30035,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30033]) ).

cnf(30036,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30034]) ).

cnf(30037,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30035]) ).

cnf(30038,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30036]) ).

cnf(30039,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30037]) ).

cnf(30040,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30038]) ).

cnf(30041,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30039]) ).

cnf(30042,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30040]) ).

cnf(30043,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30041]) ).

cnf(30044,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30042]) ).

cnf(30045,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30043]) ).

cnf(30046,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,30044]) ).

cnf(30047,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,30045]) ).

cnf(30048,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30046]) ).

cnf(30049,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30047]) ).

cnf(30050,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30048]) ).

cnf(30051,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30049]) ).

cnf(30052,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30050]) ).

cnf(30053,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30051]) ).

cnf(30054,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30052]) ).

cnf(30055,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30053]) ).

cnf(30056,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30054]) ).

cnf(30057,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30055]) ).

cnf(30058,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30056]) ).

cnf(30059,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30057]) ).

cnf(30060,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30058]) ).

cnf(30061,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30059]) ).

cnf(30062,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,30060]) ).

cnf(30063,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,30061]) ).

cnf(30064,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30062]) ).

cnf(30065,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30063]) ).

cnf(30066,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30064]) ).

cnf(30067,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30065]) ).

cnf(30068,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30066]) ).

cnf(30069,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30067]) ).

cnf(30070,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30068]) ).

cnf(30071,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30069]) ).

cnf(30072,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30070]) ).

cnf(30073,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30071]) ).

cnf(30074,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30072]) ).

cnf(30075,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30073]) ).

cnf(30076,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30074]) ).

cnf(30077,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30075]) ).

cnf(30078,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,30076]) ).

cnf(30079,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,30077]) ).

cnf(30080,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30078]) ).

cnf(30081,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30079]) ).

cnf(30082,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30080]) ).

cnf(30083,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30081]) ).

cnf(30084,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30082]) ).

cnf(30085,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30083]) ).

cnf(30086,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30084]) ).

cnf(30087,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30085]) ).

cnf(30088,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30086]) ).

cnf(30089,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30087]) ).

cnf(30090,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30088]) ).

cnf(30091,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30089]) ).

cnf(30092,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30090]) ).

cnf(30093,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30091]) ).

cnf(30094,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,30092]) ).

cnf(30095,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,30093]) ).

cnf(30096,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30094]) ).

cnf(30097,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30095]) ).

cnf(30098,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30096]) ).

cnf(30099,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30097]) ).

cnf(30100,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30098]) ).

cnf(30101,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30099]) ).

cnf(30102,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30100]) ).

cnf(30103,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30101]) ).

cnf(30104,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30102]) ).

cnf(30105,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30103]) ).

cnf(30106,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30104]) ).

cnf(30107,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30105]) ).

cnf(30108,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30106]) ).

cnf(30109,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30107]) ).

cnf(30110,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,30108]) ).

cnf(30111,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,30109]) ).

cnf(30112,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30110]) ).

cnf(30113,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30111]) ).

cnf(30114,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30112]) ).

cnf(30115,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30113]) ).

cnf(30116,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30114]) ).

cnf(30117,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30115]) ).

cnf(30118,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30116]) ).

cnf(30119,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30117]) ).

cnf(30120,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30118]) ).

cnf(30121,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30119]) ).

cnf(30122,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30120]) ).

cnf(30123,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30121]) ).

cnf(30124,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30122]) ).

cnf(30125,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30123]) ).

cnf(30126,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,30124]) ).

cnf(30127,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,30125]) ).

cnf(30128,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30126]) ).

cnf(30129,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30127]) ).

cnf(30130,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30128]) ).

cnf(30131,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30129]) ).

cnf(30132,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30130]) ).

cnf(30133,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30131]) ).

cnf(30134,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30132]) ).

cnf(30135,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30133]) ).

cnf(30136,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30134]) ).

cnf(30137,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30135]) ).

cnf(30138,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30136]) ).

cnf(30139,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30137]) ).

cnf(30140,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30138]) ).

cnf(30141,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30139]) ).

cnf(30142,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,30140]) ).

cnf(30143,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,30141]) ).

cnf(30144,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30142]) ).

cnf(30145,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30143]) ).

cnf(30146,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30144]) ).

cnf(30147,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30145]) ).

cnf(30148,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30146]) ).

cnf(30149,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30147]) ).

cnf(30150,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30148]) ).

cnf(30151,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30149]) ).

cnf(30152,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30150]) ).

cnf(30153,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30151]) ).

cnf(30154,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30152]) ).

cnf(30155,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30153]) ).

cnf(30156,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30154]) ).

cnf(30157,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30155]) ).

cnf(30158,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,30156]) ).

cnf(30159,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,30157]) ).

cnf(30160,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30158]) ).

cnf(30161,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30159]) ).

cnf(30162,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30160]) ).

cnf(30163,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30161]) ).

cnf(30164,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30162]) ).

cnf(30165,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30163]) ).

cnf(30166,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30164]) ).

cnf(30167,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30165]) ).

cnf(30168,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30166]) ).

cnf(30169,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30167]) ).

cnf(30170,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30168]) ).

cnf(30171,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30169]) ).

cnf(30172,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30170]) ).

cnf(30173,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30171]) ).

cnf(30174,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,30172]) ).

cnf(30175,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,30173]) ).

cnf(30176,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30174]) ).

cnf(30177,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30175]) ).

cnf(30178,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30176]) ).

cnf(30179,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30177]) ).

cnf(30180,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30178]) ).

cnf(30181,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30179]) ).

cnf(30182,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30180]) ).

cnf(30183,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30181]) ).

cnf(30184,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30182]) ).

cnf(30185,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30183]) ).

cnf(30186,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30184]) ).

cnf(30187,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30185]) ).

cnf(30188,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30186]) ).

cnf(30189,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30187]) ).

cnf(30190,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,30188]) ).

cnf(30191,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,30189]) ).

cnf(30192,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30190]) ).

cnf(30193,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30191]) ).

cnf(30194,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30192]) ).

cnf(30195,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30193]) ).

cnf(30196,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30194]) ).

cnf(30197,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30195]) ).

cnf(30198,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30196]) ).

cnf(30199,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30197]) ).

cnf(30200,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30198]) ).

cnf(30201,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30199]) ).

cnf(30202,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30200]) ).

cnf(30203,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30201]) ).

cnf(30204,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30202]) ).

cnf(30205,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30203]) ).

cnf(30206,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,30204]) ).

cnf(30207,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,30205]) ).

cnf(30208,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30206]) ).

cnf(30209,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30207]) ).

cnf(30210,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30208]) ).

cnf(30211,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30209]) ).

cnf(30212,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30210]) ).

cnf(30213,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30211]) ).

cnf(30214,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30212]) ).

cnf(30215,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30213]) ).

cnf(30216,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30214]) ).

cnf(30217,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30215]) ).

cnf(30218,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30216]) ).

cnf(30219,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30217]) ).

cnf(30220,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30218]) ).

cnf(30221,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30219]) ).

cnf(30222,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,30220]) ).

cnf(30223,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,30221]) ).

cnf(30224,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30222]) ).

cnf(30225,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30223]) ).

cnf(30226,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30224]) ).

cnf(30227,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30225]) ).

cnf(30228,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30226]) ).

cnf(30229,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30227]) ).

cnf(30230,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30228]) ).

cnf(30231,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30229]) ).

cnf(30232,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30230]) ).

cnf(30233,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30231]) ).

cnf(30234,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30232]) ).

cnf(30235,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30233]) ).

cnf(30236,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30234]) ).

cnf(30237,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30235]) ).

cnf(30238,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[11,30236]) ).

cnf(30239,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[11,30237]) ).

cnf(30240,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30238]) ).

cnf(30241,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30239]) ).

cnf(30242,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30240]) ).

cnf(30243,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30241]) ).

cnf(30244,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30242]) ).

cnf(30245,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30243]) ).

cnf(30246,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30244]) ).

cnf(30247,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30245]) ).

cnf(30248,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30246]) ).

cnf(30249,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30247]) ).

cnf(30250,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30248]) ).

cnf(30251,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30249]) ).

cnf(30252,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30250]) ).

cnf(30253,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30251]) ).

cnf(30254,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,30252]) ).

cnf(30255,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,30253]) ).

cnf(30256,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30254]) ).

cnf(30257,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30255]) ).

cnf(30258,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30256]) ).

cnf(30259,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30257]) ).

cnf(30260,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30258]) ).

cnf(30261,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30259]) ).

cnf(30262,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30260]) ).

cnf(30263,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30261]) ).

cnf(30264,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30262]) ).

cnf(30265,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30263]) ).

cnf(30266,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30264]) ).

cnf(30267,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30265]) ).

cnf(30268,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30266]) ).

cnf(30269,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30267]) ).

cnf(30270,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,30268]) ).

cnf(30271,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,30269]) ).

cnf(30272,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30270]) ).

cnf(30273,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30271]) ).

cnf(30274,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30272]) ).

cnf(30275,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30273]) ).

cnf(30276,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30274]) ).

cnf(30277,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30275]) ).

cnf(30278,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30276]) ).

cnf(30279,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30277]) ).

cnf(30280,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30278]) ).

cnf(30281,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30279]) ).

cnf(30282,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30280]) ).

cnf(30283,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30281]) ).

cnf(30284,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30282]) ).

cnf(30285,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30283]) ).

cnf(30286,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,30284]) ).

cnf(30287,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,30285]) ).

cnf(30288,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30286]) ).

cnf(30289,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30287]) ).

cnf(30290,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30288]) ).

cnf(30291,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30289]) ).

cnf(30292,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30290]) ).

cnf(30293,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30291]) ).

cnf(30294,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30292]) ).

cnf(30295,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30293]) ).

cnf(30296,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30294]) ).

cnf(30297,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30295]) ).

cnf(30298,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30296]) ).

cnf(30299,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30297]) ).

cnf(30300,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30298]) ).

cnf(30301,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30299]) ).

cnf(30302,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,30300]) ).

cnf(30303,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,30301]) ).

cnf(30304,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30302]) ).

cnf(30305,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30303]) ).

cnf(30306,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30304]) ).

cnf(30307,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30305]) ).

cnf(30308,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30306]) ).

cnf(30309,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30307]) ).

cnf(30310,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30308]) ).

cnf(30311,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30309]) ).

cnf(30312,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30310]) ).

cnf(30313,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30311]) ).

cnf(30314,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30312]) ).

cnf(30315,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30313]) ).

cnf(30316,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30314]) ).

cnf(30317,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30315]) ).

cnf(30318,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,30316]) ).

cnf(30319,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,30317]) ).

cnf(30320,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30318]) ).

cnf(30321,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30319]) ).

cnf(30322,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30320]) ).

cnf(30323,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30321]) ).

cnf(30324,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30322]) ).

cnf(30325,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30323]) ).

cnf(30326,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30324]) ).

cnf(30327,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30325]) ).

cnf(30328,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30326]) ).

cnf(30329,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30327]) ).

cnf(30330,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30328]) ).

cnf(30331,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30329]) ).

cnf(30332,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30330]) ).

cnf(30333,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30331]) ).

cnf(30334,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,30332]) ).

cnf(30335,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,30333]) ).

cnf(30336,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30334]) ).

cnf(30337,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30335]) ).

cnf(30338,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30336]) ).

cnf(30339,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30337]) ).

cnf(30340,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30338]) ).

cnf(30341,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30339]) ).

cnf(30342,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30340]) ).

cnf(30343,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30341]) ).

cnf(30344,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30342]) ).

cnf(30345,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30343]) ).

cnf(30346,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30344]) ).

cnf(30347,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30345]) ).

cnf(30348,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30346]) ).

cnf(30349,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30347]) ).

cnf(30350,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,30348]) ).

cnf(30351,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,30349]) ).

cnf(30352,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30350]) ).

cnf(30353,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30351]) ).

cnf(30354,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30352]) ).

cnf(30355,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30353]) ).

cnf(30356,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30354]) ).

cnf(30357,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30355]) ).

cnf(30358,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30356]) ).

cnf(30359,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30357]) ).

cnf(30360,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30358]) ).

cnf(30361,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30359]) ).

cnf(30362,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30360]) ).

cnf(30363,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30361]) ).

cnf(30364,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30362]) ).

cnf(30365,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30363]) ).

cnf(30366,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,30364]) ).

cnf(30367,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,30365]) ).

cnf(30368,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30366]) ).

cnf(30369,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30367]) ).

cnf(30370,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30368]) ).

cnf(30371,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30369]) ).

cnf(30372,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30370]) ).

cnf(30373,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30371]) ).

cnf(30374,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30372]) ).

cnf(30375,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30373]) ).

cnf(30376,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30374]) ).

cnf(30377,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30375]) ).

cnf(30378,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30376]) ).

cnf(30379,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30377]) ).

cnf(30380,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30378]) ).

cnf(30381,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30379]) ).

cnf(30382,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,30380]) ).

cnf(30383,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,30381]) ).

cnf(30384,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30382]) ).

cnf(30385,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30383]) ).

cnf(30386,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30384]) ).

cnf(30387,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30385]) ).

cnf(30388,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30386]) ).

cnf(30389,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30387]) ).

cnf(30390,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30388]) ).

cnf(30391,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30389]) ).

cnf(30392,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30390]) ).

cnf(30393,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30391]) ).

cnf(30394,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30392]) ).

cnf(30395,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30393]) ).

cnf(30396,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30394]) ).

cnf(30397,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30395]) ).

cnf(30398,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,30396]) ).

cnf(30399,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,30397]) ).

cnf(30400,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30398]) ).

cnf(30401,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30399]) ).

cnf(30402,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30400]) ).

cnf(30403,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30401]) ).

cnf(30404,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30402]) ).

cnf(30405,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30403]) ).

cnf(30406,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30404]) ).

cnf(30407,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30405]) ).

cnf(30408,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30406]) ).

cnf(30409,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30407]) ).

cnf(30410,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30408]) ).

cnf(30411,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30409]) ).

cnf(30412,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30410]) ).

cnf(30413,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30411]) ).

cnf(30414,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,30412]) ).

cnf(30415,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,30413]) ).

cnf(30416,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30414]) ).

cnf(30417,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30415]) ).

cnf(30418,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30416]) ).

cnf(30419,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30417]) ).

cnf(30420,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30418]) ).

cnf(30421,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30419]) ).

cnf(30422,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30420]) ).

cnf(30423,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30421]) ).

cnf(30424,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30422]) ).

cnf(30425,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30423]) ).

cnf(30426,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30424]) ).

cnf(30427,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30425]) ).

cnf(30428,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30426]) ).

cnf(30429,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30427]) ).

cnf(30430,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,30428]) ).

cnf(30431,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,30429]) ).

cnf(30432,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30430]) ).

cnf(30433,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30431]) ).

cnf(30434,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30432]) ).

cnf(30435,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30433]) ).

cnf(30436,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30434]) ).

cnf(30437,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30435]) ).

cnf(30438,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30436]) ).

cnf(30439,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30437]) ).

cnf(30440,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30438]) ).

cnf(30441,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30439]) ).

cnf(30442,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30440]) ).

cnf(30443,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30441]) ).

cnf(30444,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30442]) ).

cnf(30445,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30443]) ).

cnf(30446,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,30444]) ).

cnf(30447,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,30445]) ).

cnf(30448,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30446]) ).

cnf(30449,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30447]) ).

cnf(30450,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30448]) ).

cnf(30451,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30449]) ).

cnf(30452,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30450]) ).

cnf(30453,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30451]) ).

cnf(30454,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30452]) ).

cnf(30455,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30453]) ).

cnf(30456,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30454]) ).

cnf(30457,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30455]) ).

cnf(30458,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30456]) ).

cnf(30459,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30457]) ).

cnf(30460,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30458]) ).

cnf(30461,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30459]) ).

cnf(30462,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,30460]) ).

cnf(30463,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,30461]) ).

cnf(30464,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30462]) ).

cnf(30465,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30463]) ).

cnf(30466,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30464]) ).

cnf(30467,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30465]) ).

cnf(30468,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30466]) ).

cnf(30469,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30467]) ).

cnf(30470,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30468]) ).

cnf(30471,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30469]) ).

cnf(30472,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30470]) ).

cnf(30473,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30471]) ).

cnf(30474,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30472]) ).

cnf(30475,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30473]) ).

cnf(30476,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30474]) ).

cnf(30477,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30475]) ).

cnf(30478,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,30476]) ).

cnf(30479,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,30477]) ).

cnf(30480,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30478]) ).

cnf(30481,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30479]) ).

cnf(30482,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30480]) ).

cnf(30483,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30481]) ).

cnf(30484,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30482]) ).

cnf(30485,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30483]) ).

cnf(30486,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30484]) ).

cnf(30487,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30485]) ).

cnf(30488,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30486]) ).

cnf(30489,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30487]) ).

cnf(30490,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30488]) ).

cnf(30491,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30489]) ).

cnf(30492,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30490]) ).

cnf(30493,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30491]) ).

cnf(30494,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,30492]) ).

cnf(30495,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,30493]) ).

cnf(30496,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30494]) ).

cnf(30497,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30495]) ).

cnf(30498,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30496]) ).

cnf(30499,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30497]) ).

cnf(30500,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30498]) ).

cnf(30501,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30499]) ).

cnf(30502,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30500]) ).

cnf(30503,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30501]) ).

cnf(30504,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30502]) ).

cnf(30505,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30503]) ).

cnf(30506,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30504]) ).

cnf(30507,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30505]) ).

cnf(30508,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30506]) ).

cnf(30509,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30507]) ).

cnf(30510,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,30508]) ).

cnf(30511,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,30509]) ).

cnf(30512,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30510]) ).

cnf(30513,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30511]) ).

cnf(30514,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30512]) ).

cnf(30515,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30513]) ).

cnf(30516,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30514]) ).

cnf(30517,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30515]) ).

cnf(30518,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30516]) ).

cnf(30519,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30517]) ).

cnf(30520,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30518]) ).

cnf(30521,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30519]) ).

cnf(30522,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30520]) ).

cnf(30523,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30521]) ).

cnf(30524,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30522]) ).

cnf(30525,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30523]) ).

cnf(30526,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,30524]) ).

cnf(30527,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,30525]) ).

cnf(30528,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30526]) ).

cnf(30529,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30527]) ).

cnf(30530,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30528]) ).

cnf(30531,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30529]) ).

cnf(30532,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30530]) ).

cnf(30533,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30531]) ).

cnf(30534,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30532]) ).

cnf(30535,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30533]) ).

cnf(30536,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30534]) ).

cnf(30537,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30535]) ).

cnf(30538,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30536]) ).

cnf(30539,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30537]) ).

cnf(30540,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30538]) ).

cnf(30541,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30539]) ).

cnf(30542,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,30540]) ).

cnf(30543,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,30541]) ).

cnf(30544,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30542]) ).

cnf(30545,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30543]) ).

cnf(30546,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30544]) ).

cnf(30547,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30545]) ).

cnf(30548,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30546]) ).

cnf(30549,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30547]) ).

cnf(30550,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30548]) ).

cnf(30551,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30549]) ).

cnf(30552,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30550]) ).

cnf(30553,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30551]) ).

cnf(30554,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30552]) ).

cnf(30555,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30553]) ).

cnf(30556,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30554]) ).

cnf(30557,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30555]) ).

cnf(30558,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,30556]) ).

cnf(30559,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,30557]) ).

cnf(30560,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30558]) ).

cnf(30561,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30559]) ).

cnf(30562,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30560]) ).

cnf(30563,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30561]) ).

cnf(30564,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30562]) ).

cnf(30565,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30563]) ).

cnf(30566,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30564]) ).

cnf(30567,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30565]) ).

cnf(30568,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30566]) ).

cnf(30569,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30567]) ).

cnf(30570,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30568]) ).

cnf(30571,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30569]) ).

cnf(30572,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30570]) ).

cnf(30573,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30571]) ).

cnf(30574,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,30572]) ).

cnf(30575,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,30573]) ).

cnf(30576,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30574]) ).

cnf(30577,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30575]) ).

cnf(30578,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30576]) ).

cnf(30579,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30577]) ).

cnf(30580,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30578]) ).

cnf(30581,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30579]) ).

cnf(30582,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30580]) ).

cnf(30583,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30581]) ).

cnf(30584,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30582]) ).

cnf(30585,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30583]) ).

cnf(30586,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30584]) ).

cnf(30587,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30585]) ).

cnf(30588,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30586]) ).

cnf(30589,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30587]) ).

cnf(30590,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,30588]) ).

cnf(30591,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,30589]) ).

cnf(30592,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30590]) ).

cnf(30593,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30591]) ).

cnf(30594,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30592]) ).

cnf(30595,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30593]) ).

cnf(30596,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30594]) ).

cnf(30597,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30595]) ).

cnf(30598,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30596]) ).

cnf(30599,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30597]) ).

cnf(30600,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30598]) ).

cnf(30601,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30599]) ).

cnf(30602,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30600]) ).

cnf(30603,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30601]) ).

cnf(30604,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30602]) ).

cnf(30605,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30603]) ).

cnf(30606,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,30604]) ).

cnf(30607,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,30605]) ).

cnf(30608,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30606]) ).

cnf(30609,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30607]) ).

cnf(30610,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30608]) ).

cnf(30611,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30609]) ).

cnf(30612,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30610]) ).

cnf(30613,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30611]) ).

cnf(30614,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30612]) ).

cnf(30615,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30613]) ).

cnf(30616,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30614]) ).

cnf(30617,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30615]) ).

cnf(30618,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30616]) ).

cnf(30619,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30617]) ).

cnf(30620,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30618]) ).

cnf(30621,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30619]) ).

cnf(30622,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,30620]) ).

cnf(30623,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,30621]) ).

cnf(30624,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30622]) ).

cnf(30625,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30623]) ).

cnf(30626,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30624]) ).

cnf(30627,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30625]) ).

cnf(30628,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30626]) ).

cnf(30629,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30627]) ).

cnf(30630,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30628]) ).

cnf(30631,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30629]) ).

cnf(30632,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30630]) ).

cnf(30633,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30631]) ).

cnf(30634,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30632]) ).

cnf(30635,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30633]) ).

cnf(30636,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30634]) ).

cnf(30637,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30635]) ).

cnf(30638,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,30636]) ).

cnf(30639,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,30637]) ).

cnf(30640,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30638]) ).

cnf(30641,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30639]) ).

cnf(30642,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30640]) ).

cnf(30643,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30641]) ).

cnf(30644,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30642]) ).

cnf(30645,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30643]) ).

cnf(30646,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30644]) ).

cnf(30647,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30645]) ).

cnf(30648,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30646]) ).

cnf(30649,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30647]) ).

cnf(30650,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30648]) ).

cnf(30651,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30649]) ).

cnf(30652,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30650]) ).

cnf(30653,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30651]) ).

cnf(30654,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,30652]) ).

cnf(30655,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,30653]) ).

cnf(30656,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30654]) ).

cnf(30657,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30655]) ).

cnf(30658,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30656]) ).

cnf(30659,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30657]) ).

cnf(30660,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30658]) ).

cnf(30661,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30659]) ).

cnf(30662,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30660]) ).

cnf(30663,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30661]) ).

cnf(30664,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30662]) ).

cnf(30665,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30663]) ).

cnf(30666,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30664]) ).

cnf(30667,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30665]) ).

cnf(30668,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30666]) ).

cnf(30669,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30667]) ).

cnf(30670,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,30668]) ).

cnf(30671,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,30669]) ).

cnf(30672,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30670]) ).

cnf(30673,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30671]) ).

cnf(30674,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30672]) ).

cnf(30675,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30673]) ).

cnf(30676,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30674]) ).

cnf(30677,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30675]) ).

cnf(30678,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30676]) ).

cnf(30679,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30677]) ).

cnf(30680,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30678]) ).

cnf(30681,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30679]) ).

cnf(30682,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30680]) ).

cnf(30683,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30681]) ).

cnf(30684,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30682]) ).

cnf(30685,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30683]) ).

cnf(30686,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,30684]) ).

cnf(30687,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,30685]) ).

cnf(30688,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30686]) ).

cnf(30689,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30687]) ).

cnf(30690,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30688]) ).

cnf(30691,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30689]) ).

cnf(30692,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30690]) ).

cnf(30693,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30691]) ).

cnf(30694,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30692]) ).

cnf(30695,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30693]) ).

cnf(30696,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30694]) ).

cnf(30697,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30695]) ).

cnf(30698,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30696]) ).

cnf(30699,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30697]) ).

cnf(30700,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30698]) ).

cnf(30701,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30699]) ).

cnf(30702,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,30700]) ).

cnf(30703,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,30701]) ).

cnf(30704,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30702]) ).

cnf(30705,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30703]) ).

cnf(30706,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30704]) ).

cnf(30707,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30705]) ).

cnf(30708,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30706]) ).

cnf(30709,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30707]) ).

cnf(30710,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30708]) ).

cnf(30711,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30709]) ).

cnf(30712,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30710]) ).

cnf(30713,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30711]) ).

cnf(30714,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30712]) ).

cnf(30715,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30713]) ).

cnf(30716,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30714]) ).

cnf(30717,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30715]) ).

cnf(30718,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,30716]) ).

cnf(30719,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,30717]) ).

cnf(30720,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30718]) ).

cnf(30721,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30719]) ).

cnf(30722,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30720]) ).

cnf(30723,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30721]) ).

cnf(30724,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30722]) ).

cnf(30725,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30723]) ).

cnf(30726,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30724]) ).

cnf(30727,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30725]) ).

cnf(30728,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30726]) ).

cnf(30729,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30727]) ).

cnf(30730,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30728]) ).

cnf(30731,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30729]) ).

cnf(30732,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30730]) ).

cnf(30733,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30731]) ).

cnf(30734,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,30732]) ).

cnf(30735,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,30733]) ).

cnf(30736,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30734]) ).

cnf(30737,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30735]) ).

cnf(30738,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30736]) ).

cnf(30739,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30737]) ).

cnf(30740,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30738]) ).

cnf(30741,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30739]) ).

cnf(30742,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30740]) ).

cnf(30743,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30741]) ).

cnf(30744,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30742]) ).

cnf(30745,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30743]) ).

cnf(30746,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30744]) ).

cnf(30747,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30745]) ).

cnf(30748,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30746]) ).

cnf(30749,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30747]) ).

cnf(30750,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[13,30748]) ).

cnf(30751,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[13,30749]) ).

cnf(30752,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30750]) ).

cnf(30753,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30751]) ).

cnf(30754,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30752]) ).

cnf(30755,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30753]) ).

cnf(30756,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30754]) ).

cnf(30757,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30755]) ).

cnf(30758,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30756]) ).

cnf(30759,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30757]) ).

cnf(30760,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30758]) ).

cnf(30761,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30759]) ).

cnf(30762,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30760]) ).

cnf(30763,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30761]) ).

cnf(30764,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30762]) ).

cnf(30765,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30763]) ).

cnf(30766,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,30764]) ).

cnf(30767,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,30765]) ).

cnf(30768,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30766]) ).

cnf(30769,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30767]) ).

cnf(30770,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30768]) ).

cnf(30771,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30769]) ).

cnf(30772,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30770]) ).

cnf(30773,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30771]) ).

cnf(30774,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30772]) ).

cnf(30775,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30773]) ).

cnf(30776,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30774]) ).

cnf(30777,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30775]) ).

cnf(30778,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30776]) ).

cnf(30779,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30777]) ).

cnf(30780,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30778]) ).

cnf(30781,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30779]) ).

cnf(30782,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,30780]) ).

cnf(30783,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,30781]) ).

cnf(30784,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30782]) ).

cnf(30785,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30783]) ).

cnf(30786,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30784]) ).

cnf(30787,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30785]) ).

cnf(30788,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30786]) ).

cnf(30789,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30787]) ).

cnf(30790,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30788]) ).

cnf(30791,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30789]) ).

cnf(30792,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30790]) ).

cnf(30793,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30791]) ).

cnf(30794,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30792]) ).

cnf(30795,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30793]) ).

cnf(30796,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30794]) ).

cnf(30797,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30795]) ).

cnf(30798,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,30796]) ).

cnf(30799,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,30797]) ).

cnf(30800,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30798]) ).

cnf(30801,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30799]) ).

cnf(30802,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30800]) ).

cnf(30803,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30801]) ).

cnf(30804,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30802]) ).

cnf(30805,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30803]) ).

cnf(30806,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30804]) ).

cnf(30807,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30805]) ).

cnf(30808,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30806]) ).

cnf(30809,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30807]) ).

cnf(30810,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30808]) ).

cnf(30811,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30809]) ).

cnf(30812,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30810]) ).

cnf(30813,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30811]) ).

cnf(30814,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,30812]) ).

cnf(30815,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,30813]) ).

cnf(30816,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30814]) ).

cnf(30817,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30815]) ).

cnf(30818,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30816]) ).

cnf(30819,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30817]) ).

cnf(30820,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30818]) ).

cnf(30821,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30819]) ).

cnf(30822,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30820]) ).

cnf(30823,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30821]) ).

cnf(30824,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30822]) ).

cnf(30825,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30823]) ).

cnf(30826,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30824]) ).

cnf(30827,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30825]) ).

cnf(30828,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30826]) ).

cnf(30829,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30827]) ).

cnf(30830,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,30828]) ).

cnf(30831,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,30829]) ).

cnf(30832,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30830]) ).

cnf(30833,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30831]) ).

cnf(30834,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30832]) ).

cnf(30835,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30833]) ).

cnf(30836,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30834]) ).

cnf(30837,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30835]) ).

cnf(30838,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30836]) ).

cnf(30839,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30837]) ).

cnf(30840,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30838]) ).

cnf(30841,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30839]) ).

cnf(30842,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30840]) ).

cnf(30843,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30841]) ).

cnf(30844,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30842]) ).

cnf(30845,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30843]) ).

cnf(30846,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,30844]) ).

cnf(30847,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,30845]) ).

cnf(30848,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30846]) ).

cnf(30849,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30847]) ).

cnf(30850,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30848]) ).

cnf(30851,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30849]) ).

cnf(30852,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30850]) ).

cnf(30853,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30851]) ).

cnf(30854,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30852]) ).

cnf(30855,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30853]) ).

cnf(30856,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30854]) ).

cnf(30857,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30855]) ).

cnf(30858,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30856]) ).

cnf(30859,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30857]) ).

cnf(30860,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30858]) ).

cnf(30861,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30859]) ).

cnf(30862,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,30860]) ).

cnf(30863,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,30861]) ).

cnf(30864,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30862]) ).

cnf(30865,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30863]) ).

cnf(30866,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30864]) ).

cnf(30867,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30865]) ).

cnf(30868,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30866]) ).

cnf(30869,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30867]) ).

cnf(30870,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30868]) ).

cnf(30871,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30869]) ).

cnf(30872,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30870]) ).

cnf(30873,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30871]) ).

cnf(30874,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30872]) ).

cnf(30875,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30873]) ).

cnf(30876,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30874]) ).

cnf(30877,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30875]) ).

cnf(30878,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,30876]) ).

cnf(30879,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,30877]) ).

cnf(30880,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30878]) ).

cnf(30881,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30879]) ).

cnf(30882,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30880]) ).

cnf(30883,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30881]) ).

cnf(30884,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30882]) ).

cnf(30885,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30883]) ).

cnf(30886,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30884]) ).

cnf(30887,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30885]) ).

cnf(30888,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30886]) ).

cnf(30889,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30887]) ).

cnf(30890,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30888]) ).

cnf(30891,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30889]) ).

cnf(30892,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30890]) ).

cnf(30893,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30891]) ).

cnf(30894,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,30892]) ).

cnf(30895,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,30893]) ).

cnf(30896,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30894]) ).

cnf(30897,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30895]) ).

cnf(30898,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30896]) ).

cnf(30899,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30897]) ).

cnf(30900,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30898]) ).

cnf(30901,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30899]) ).

cnf(30902,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30900]) ).

cnf(30903,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30901]) ).

cnf(30904,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30902]) ).

cnf(30905,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30903]) ).

cnf(30906,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30904]) ).

cnf(30907,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30905]) ).

cnf(30908,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30906]) ).

cnf(30909,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30907]) ).

cnf(30910,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,30908]) ).

cnf(30911,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,30909]) ).

cnf(30912,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30910]) ).

cnf(30913,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30911]) ).

cnf(30914,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30912]) ).

cnf(30915,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30913]) ).

cnf(30916,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30914]) ).

cnf(30917,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30915]) ).

cnf(30918,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30916]) ).

cnf(30919,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30917]) ).

cnf(30920,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30918]) ).

cnf(30921,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30919]) ).

cnf(30922,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30920]) ).

cnf(30923,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30921]) ).

cnf(30924,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30922]) ).

cnf(30925,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30923]) ).

cnf(30926,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,30924]) ).

cnf(30927,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,30925]) ).

cnf(30928,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30926]) ).

cnf(30929,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30927]) ).

cnf(30930,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30928]) ).

cnf(30931,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30929]) ).

cnf(30932,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30930]) ).

cnf(30933,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30931]) ).

cnf(30934,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30932]) ).

cnf(30935,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30933]) ).

cnf(30936,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30934]) ).

cnf(30937,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30935]) ).

cnf(30938,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30936]) ).

cnf(30939,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30937]) ).

cnf(30940,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30938]) ).

cnf(30941,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30939]) ).

cnf(30942,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,30940]) ).

cnf(30943,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,30941]) ).

cnf(30944,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30942]) ).

cnf(30945,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30943]) ).

cnf(30946,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30944]) ).

cnf(30947,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30945]) ).

cnf(30948,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30946]) ).

cnf(30949,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30947]) ).

cnf(30950,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30948]) ).

cnf(30951,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30949]) ).

cnf(30952,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30950]) ).

cnf(30953,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30951]) ).

cnf(30954,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30952]) ).

cnf(30955,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30953]) ).

cnf(30956,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30954]) ).

cnf(30957,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30955]) ).

cnf(30958,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,30956]) ).

cnf(30959,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,30957]) ).

cnf(30960,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30958]) ).

cnf(30961,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30959]) ).

cnf(30962,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30960]) ).

cnf(30963,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30961]) ).

cnf(30964,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30962]) ).

cnf(30965,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30963]) ).

cnf(30966,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30964]) ).

cnf(30967,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30965]) ).

cnf(30968,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30966]) ).

cnf(30969,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30967]) ).

cnf(30970,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30968]) ).

cnf(30971,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30969]) ).

cnf(30972,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30970]) ).

cnf(30973,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30971]) ).

cnf(30974,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,30972]) ).

cnf(30975,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,30973]) ).

cnf(30976,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30974]) ).

cnf(30977,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30975]) ).

cnf(30978,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30976]) ).

cnf(30979,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30977]) ).

cnf(30980,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30978]) ).

cnf(30981,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30979]) ).

cnf(30982,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30980]) ).

cnf(30983,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30981]) ).

cnf(30984,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30982]) ).

cnf(30985,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30983]) ).

cnf(30986,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30984]) ).

cnf(30987,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30985]) ).

cnf(30988,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30986]) ).

cnf(30989,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30987]) ).

cnf(30990,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,30988]) ).

cnf(30991,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,30989]) ).

cnf(30992,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30990]) ).

cnf(30993,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30991]) ).

cnf(30994,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,30992]) ).

cnf(30995,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,30993]) ).

cnf(30996,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30994]) ).

cnf(30997,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30995]) ).

cnf(30998,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,30996]) ).

cnf(30999,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,30997]) ).

cnf(31000,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,30998]) ).

cnf(31001,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,30999]) ).

cnf(31002,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31000]) ).

cnf(31003,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31001]) ).

cnf(31004,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31002]) ).

cnf(31005,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31003]) ).

cnf(31006,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,31004]) ).

cnf(31007,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,31005]) ).

cnf(31008,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31006]) ).

cnf(31009,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31007]) ).

cnf(31010,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31008]) ).

cnf(31011,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31009]) ).

cnf(31012,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31010]) ).

cnf(31013,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31011]) ).

cnf(31014,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31012]) ).

cnf(31015,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31013]) ).

cnf(31016,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31014]) ).

cnf(31017,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31015]) ).

cnf(31018,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31016]) ).

cnf(31019,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31017]) ).

cnf(31020,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31018]) ).

cnf(31021,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31019]) ).

cnf(31022,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,31020]) ).

cnf(31023,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,31021]) ).

cnf(31024,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31022]) ).

cnf(31025,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31023]) ).

cnf(31026,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31024]) ).

cnf(31027,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31025]) ).

cnf(31028,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31026]) ).

cnf(31029,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31027]) ).

cnf(31030,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31028]) ).

cnf(31031,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31029]) ).

cnf(31032,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31030]) ).

cnf(31033,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31031]) ).

cnf(31034,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31032]) ).

cnf(31035,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31033]) ).

cnf(31036,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31034]) ).

cnf(31037,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31035]) ).

cnf(31038,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,31036]) ).

cnf(31039,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,31037]) ).

cnf(31040,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31038]) ).

cnf(31041,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31039]) ).

cnf(31042,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31040]) ).

cnf(31043,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31041]) ).

cnf(31044,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31042]) ).

cnf(31045,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31043]) ).

cnf(31046,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31044]) ).

cnf(31047,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31045]) ).

cnf(31048,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31046]) ).

cnf(31049,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31047]) ).

cnf(31050,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31048]) ).

cnf(31051,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31049]) ).

cnf(31052,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31050]) ).

cnf(31053,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31051]) ).

cnf(31054,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,31052]) ).

cnf(31055,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,31053]) ).

cnf(31056,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31054]) ).

cnf(31057,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31055]) ).

cnf(31058,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31056]) ).

cnf(31059,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31057]) ).

cnf(31060,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31058]) ).

cnf(31061,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31059]) ).

cnf(31062,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31060]) ).

cnf(31063,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31061]) ).

cnf(31064,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31062]) ).

cnf(31065,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31063]) ).

cnf(31066,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31064]) ).

cnf(31067,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31065]) ).

cnf(31068,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31066]) ).

cnf(31069,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31067]) ).

cnf(31070,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,31068]) ).

cnf(31071,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,31069]) ).

cnf(31072,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31070]) ).

cnf(31073,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31071]) ).

cnf(31074,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31072]) ).

cnf(31075,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31073]) ).

cnf(31076,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31074]) ).

cnf(31077,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31075]) ).

cnf(31078,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31076]) ).

cnf(31079,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31077]) ).

cnf(31080,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31078]) ).

cnf(31081,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31079]) ).

cnf(31082,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31080]) ).

cnf(31083,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31081]) ).

cnf(31084,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31082]) ).

cnf(31085,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31083]) ).

cnf(31086,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,31084]) ).

cnf(31087,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,31085]) ).

cnf(31088,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31086]) ).

cnf(31089,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31087]) ).

cnf(31090,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31088]) ).

cnf(31091,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31089]) ).

cnf(31092,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31090]) ).

cnf(31093,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31091]) ).

cnf(31094,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31092]) ).

cnf(31095,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31093]) ).

cnf(31096,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31094]) ).

cnf(31097,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31095]) ).

cnf(31098,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31096]) ).

cnf(31099,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31097]) ).

cnf(31100,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31098]) ).

cnf(31101,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31099]) ).

cnf(31102,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,31100]) ).

cnf(31103,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,31101]) ).

cnf(31104,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31102]) ).

cnf(31105,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31103]) ).

cnf(31106,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31104]) ).

cnf(31107,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31105]) ).

cnf(31108,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31106]) ).

cnf(31109,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31107]) ).

cnf(31110,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31108]) ).

cnf(31111,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31109]) ).

cnf(31112,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31110]) ).

cnf(31113,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31111]) ).

cnf(31114,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31112]) ).

cnf(31115,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31113]) ).

cnf(31116,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31114]) ).

cnf(31117,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31115]) ).

cnf(31118,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,31116]) ).

cnf(31119,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,31117]) ).

cnf(31120,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31118]) ).

cnf(31121,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31119]) ).

cnf(31122,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31120]) ).

cnf(31123,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31121]) ).

cnf(31124,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31122]) ).

cnf(31125,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31123]) ).

cnf(31126,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31124]) ).

cnf(31127,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31125]) ).

cnf(31128,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31126]) ).

cnf(31129,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31127]) ).

cnf(31130,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31128]) ).

cnf(31131,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31129]) ).

cnf(31132,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31130]) ).

cnf(31133,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31131]) ).

cnf(31134,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,31132]) ).

cnf(31135,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,31133]) ).

cnf(31136,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31134]) ).

cnf(31137,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31135]) ).

cnf(31138,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31136]) ).

cnf(31139,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31137]) ).

cnf(31140,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31138]) ).

cnf(31141,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31139]) ).

cnf(31142,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31140]) ).

cnf(31143,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31141]) ).

cnf(31144,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31142]) ).

cnf(31145,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31143]) ).

cnf(31146,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31144]) ).

cnf(31147,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31145]) ).

cnf(31148,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31146]) ).

cnf(31149,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31147]) ).

cnf(31150,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,31148]) ).

cnf(31151,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,31149]) ).

cnf(31152,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31150]) ).

cnf(31153,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31151]) ).

cnf(31154,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31152]) ).

cnf(31155,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31153]) ).

cnf(31156,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31154]) ).

cnf(31157,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31155]) ).

cnf(31158,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31156]) ).

cnf(31159,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31157]) ).

cnf(31160,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31158]) ).

cnf(31161,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31159]) ).

cnf(31162,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31160]) ).

cnf(31163,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31161]) ).

cnf(31164,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31162]) ).

cnf(31165,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31163]) ).

cnf(31166,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,31164]) ).

cnf(31167,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,31165]) ).

cnf(31168,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31166]) ).

cnf(31169,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31167]) ).

cnf(31170,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31168]) ).

cnf(31171,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31169]) ).

cnf(31172,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31170]) ).

cnf(31173,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31171]) ).

cnf(31174,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31172]) ).

cnf(31175,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31173]) ).

cnf(31176,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31174]) ).

cnf(31177,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31175]) ).

cnf(31178,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31176]) ).

cnf(31179,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31177]) ).

cnf(31180,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31178]) ).

cnf(31181,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31179]) ).

cnf(31182,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,31180]) ).

cnf(31183,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,31181]) ).

cnf(31184,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31182]) ).

cnf(31185,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31183]) ).

cnf(31186,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31184]) ).

cnf(31187,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31185]) ).

cnf(31188,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31186]) ).

cnf(31189,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31187]) ).

cnf(31190,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31188]) ).

cnf(31191,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31189]) ).

cnf(31192,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31190]) ).

cnf(31193,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31191]) ).

cnf(31194,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31192]) ).

cnf(31195,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31193]) ).

cnf(31196,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31194]) ).

cnf(31197,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31195]) ).

cnf(31198,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,31196]) ).

cnf(31199,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,31197]) ).

cnf(31200,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31198]) ).

cnf(31201,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31199]) ).

cnf(31202,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31200]) ).

cnf(31203,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31201]) ).

cnf(31204,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31202]) ).

cnf(31205,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31203]) ).

cnf(31206,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31204]) ).

cnf(31207,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31205]) ).

cnf(31208,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31206]) ).

cnf(31209,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31207]) ).

cnf(31210,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31208]) ).

cnf(31211,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31209]) ).

cnf(31212,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31210]) ).

cnf(31213,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31211]) ).

cnf(31214,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,31212]) ).

cnf(31215,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,31213]) ).

cnf(31216,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31214]) ).

cnf(31217,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31215]) ).

cnf(31218,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31216]) ).

cnf(31219,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31217]) ).

cnf(31220,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31218]) ).

cnf(31221,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31219]) ).

cnf(31222,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31220]) ).

cnf(31223,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31221]) ).

cnf(31224,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31222]) ).

cnf(31225,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31223]) ).

cnf(31226,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31224]) ).

cnf(31227,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31225]) ).

cnf(31228,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31226]) ).

cnf(31229,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31227]) ).

cnf(31230,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,31228]) ).

cnf(31231,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,31229]) ).

cnf(31232,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31230]) ).

cnf(31233,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31231]) ).

cnf(31234,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31232]) ).

cnf(31235,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31233]) ).

cnf(31236,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31234]) ).

cnf(31237,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31235]) ).

cnf(31238,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31236]) ).

cnf(31239,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31237]) ).

cnf(31240,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31238]) ).

cnf(31241,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31239]) ).

cnf(31242,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31240]) ).

cnf(31243,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31241]) ).

cnf(31244,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31242]) ).

cnf(31245,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31243]) ).

cnf(31246,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,31244]) ).

cnf(31247,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,31245]) ).

cnf(31248,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31246]) ).

cnf(31249,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31247]) ).

cnf(31250,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31248]) ).

cnf(31251,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31249]) ).

cnf(31252,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31250]) ).

cnf(31253,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31251]) ).

cnf(31254,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31252]) ).

cnf(31255,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31253]) ).

cnf(31256,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31254]) ).

cnf(31257,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31255]) ).

cnf(31258,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31256]) ).

cnf(31259,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31257]) ).

cnf(31260,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31258]) ).

cnf(31261,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31259]) ).

cnf(31262,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[11,31260]) ).

cnf(31263,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[11,31261]) ).

cnf(31264,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31262]) ).

cnf(31265,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31263]) ).

cnf(31266,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31264]) ).

cnf(31267,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31265]) ).

cnf(31268,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31266]) ).

cnf(31269,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31267]) ).

cnf(31270,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31268]) ).

cnf(31271,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31269]) ).

cnf(31272,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31270]) ).

cnf(31273,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31271]) ).

cnf(31274,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31272]) ).

cnf(31275,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31273]) ).

cnf(31276,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31274]) ).

cnf(31277,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31275]) ).

cnf(31278,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,31276]) ).

cnf(31279,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,31277]) ).

cnf(31280,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31278]) ).

cnf(31281,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31279]) ).

cnf(31282,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31280]) ).

cnf(31283,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31281]) ).

cnf(31284,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31282]) ).

cnf(31285,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31283]) ).

cnf(31286,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31284]) ).

cnf(31287,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31285]) ).

cnf(31288,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31286]) ).

cnf(31289,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31287]) ).

cnf(31290,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31288]) ).

cnf(31291,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31289]) ).

cnf(31292,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31290]) ).

cnf(31293,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31291]) ).

cnf(31294,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,31292]) ).

cnf(31295,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,31293]) ).

cnf(31296,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31294]) ).

cnf(31297,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31295]) ).

cnf(31298,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31296]) ).

cnf(31299,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31297]) ).

cnf(31300,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31298]) ).

cnf(31301,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31299]) ).

cnf(31302,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31300]) ).

cnf(31303,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31301]) ).

cnf(31304,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31302]) ).

cnf(31305,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31303]) ).

cnf(31306,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31304]) ).

cnf(31307,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31305]) ).

cnf(31308,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31306]) ).

cnf(31309,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31307]) ).

cnf(31310,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,31308]) ).

cnf(31311,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,31309]) ).

cnf(31312,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31310]) ).

cnf(31313,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31311]) ).

cnf(31314,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31312]) ).

cnf(31315,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31313]) ).

cnf(31316,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31314]) ).

cnf(31317,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31315]) ).

cnf(31318,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31316]) ).

cnf(31319,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31317]) ).

cnf(31320,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31318]) ).

cnf(31321,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31319]) ).

cnf(31322,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31320]) ).

cnf(31323,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31321]) ).

cnf(31324,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31322]) ).

cnf(31325,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31323]) ).

cnf(31326,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,31324]) ).

cnf(31327,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,31325]) ).

cnf(31328,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31326]) ).

cnf(31329,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31327]) ).

cnf(31330,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31328]) ).

cnf(31331,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31329]) ).

cnf(31332,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31330]) ).

cnf(31333,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31331]) ).

cnf(31334,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31332]) ).

cnf(31335,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31333]) ).

cnf(31336,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31334]) ).

cnf(31337,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31335]) ).

cnf(31338,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31336]) ).

cnf(31339,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31337]) ).

cnf(31340,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31338]) ).

cnf(31341,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31339]) ).

cnf(31342,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,31340]) ).

cnf(31343,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,31341]) ).

cnf(31344,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31342]) ).

cnf(31345,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31343]) ).

cnf(31346,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31344]) ).

cnf(31347,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31345]) ).

cnf(31348,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31346]) ).

cnf(31349,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31347]) ).

cnf(31350,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31348]) ).

cnf(31351,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31349]) ).

cnf(31352,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31350]) ).

cnf(31353,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31351]) ).

cnf(31354,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31352]) ).

cnf(31355,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31353]) ).

cnf(31356,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31354]) ).

cnf(31357,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31355]) ).

cnf(31358,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,31356]) ).

cnf(31359,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,31357]) ).

cnf(31360,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31358]) ).

cnf(31361,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31359]) ).

cnf(31362,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31360]) ).

cnf(31363,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31361]) ).

cnf(31364,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31362]) ).

cnf(31365,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31363]) ).

cnf(31366,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31364]) ).

cnf(31367,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31365]) ).

cnf(31368,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31366]) ).

cnf(31369,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31367]) ).

cnf(31370,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31368]) ).

cnf(31371,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31369]) ).

cnf(31372,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31370]) ).

cnf(31373,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31371]) ).

cnf(31374,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,31372]) ).

cnf(31375,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,31373]) ).

cnf(31376,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31374]) ).

cnf(31377,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31375]) ).

cnf(31378,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31376]) ).

cnf(31379,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31377]) ).

cnf(31380,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31378]) ).

cnf(31381,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31379]) ).

cnf(31382,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31380]) ).

cnf(31383,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31381]) ).

cnf(31384,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31382]) ).

cnf(31385,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31383]) ).

cnf(31386,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31384]) ).

cnf(31387,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31385]) ).

cnf(31388,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31386]) ).

cnf(31389,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31387]) ).

cnf(31390,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,31388]) ).

cnf(31391,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,31389]) ).

cnf(31392,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31390]) ).

cnf(31393,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31391]) ).

cnf(31394,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31392]) ).

cnf(31395,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31393]) ).

cnf(31396,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31394]) ).

cnf(31397,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31395]) ).

cnf(31398,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31396]) ).

cnf(31399,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31397]) ).

cnf(31400,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31398]) ).

cnf(31401,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31399]) ).

cnf(31402,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31400]) ).

cnf(31403,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31401]) ).

cnf(31404,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31402]) ).

cnf(31405,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31403]) ).

cnf(31406,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,31404]) ).

cnf(31407,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,31405]) ).

cnf(31408,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31406]) ).

cnf(31409,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31407]) ).

cnf(31410,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31408]) ).

cnf(31411,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31409]) ).

cnf(31412,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31410]) ).

cnf(31413,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31411]) ).

cnf(31414,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31412]) ).

cnf(31415,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31413]) ).

cnf(31416,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31414]) ).

cnf(31417,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31415]) ).

cnf(31418,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31416]) ).

cnf(31419,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31417]) ).

cnf(31420,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31418]) ).

cnf(31421,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31419]) ).

cnf(31422,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,31420]) ).

cnf(31423,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,31421]) ).

cnf(31424,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31422]) ).

cnf(31425,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31423]) ).

cnf(31426,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31424]) ).

cnf(31427,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31425]) ).

cnf(31428,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31426]) ).

cnf(31429,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31427]) ).

cnf(31430,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31428]) ).

cnf(31431,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31429]) ).

cnf(31432,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31430]) ).

cnf(31433,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31431]) ).

cnf(31434,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31432]) ).

cnf(31435,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31433]) ).

cnf(31436,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31434]) ).

cnf(31437,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31435]) ).

cnf(31438,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,31436]) ).

cnf(31439,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,31437]) ).

cnf(31440,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31438]) ).

cnf(31441,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31439]) ).

cnf(31442,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31440]) ).

cnf(31443,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31441]) ).

cnf(31444,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31442]) ).

cnf(31445,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31443]) ).

cnf(31446,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31444]) ).

cnf(31447,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31445]) ).

cnf(31448,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31446]) ).

cnf(31449,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31447]) ).

cnf(31450,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31448]) ).

cnf(31451,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31449]) ).

cnf(31452,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31450]) ).

cnf(31453,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31451]) ).

cnf(31454,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,31452]) ).

cnf(31455,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,31453]) ).

cnf(31456,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31454]) ).

cnf(31457,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31455]) ).

cnf(31458,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31456]) ).

cnf(31459,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31457]) ).

cnf(31460,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31458]) ).

cnf(31461,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31459]) ).

cnf(31462,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31460]) ).

cnf(31463,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31461]) ).

cnf(31464,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31462]) ).

cnf(31465,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31463]) ).

cnf(31466,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31464]) ).

cnf(31467,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31465]) ).

cnf(31468,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31466]) ).

cnf(31469,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31467]) ).

cnf(31470,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,31468]) ).

cnf(31471,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,31469]) ).

cnf(31472,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31470]) ).

cnf(31473,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31471]) ).

cnf(31474,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31472]) ).

cnf(31475,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31473]) ).

cnf(31476,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31474]) ).

cnf(31477,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31475]) ).

cnf(31478,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31476]) ).

cnf(31479,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31477]) ).

cnf(31480,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31478]) ).

cnf(31481,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31479]) ).

cnf(31482,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31480]) ).

cnf(31483,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31481]) ).

cnf(31484,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31482]) ).

cnf(31485,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31483]) ).

cnf(31486,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,31484]) ).

cnf(31487,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,31485]) ).

cnf(31488,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31486]) ).

cnf(31489,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31487]) ).

cnf(31490,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31488]) ).

cnf(31491,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31489]) ).

cnf(31492,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31490]) ).

cnf(31493,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31491]) ).

cnf(31494,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31492]) ).

cnf(31495,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31493]) ).

cnf(31496,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31494]) ).

cnf(31497,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31495]) ).

cnf(31498,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31496]) ).

cnf(31499,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31497]) ).

cnf(31500,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31498]) ).

cnf(31501,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31499]) ).

cnf(31502,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,31500]) ).

cnf(31503,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,31501]) ).

cnf(31504,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31502]) ).

cnf(31505,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31503]) ).

cnf(31506,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31504]) ).

cnf(31507,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31505]) ).

cnf(31508,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31506]) ).

cnf(31509,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31507]) ).

cnf(31510,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31508]) ).

cnf(31511,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31509]) ).

cnf(31512,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31510]) ).

cnf(31513,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31511]) ).

cnf(31514,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31512]) ).

cnf(31515,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31513]) ).

cnf(31516,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31514]) ).

cnf(31517,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31515]) ).

cnf(31518,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,31516]) ).

cnf(31519,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,31517]) ).

cnf(31520,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31518]) ).

cnf(31521,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31519]) ).

cnf(31522,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31520]) ).

cnf(31523,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31521]) ).

cnf(31524,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31522]) ).

cnf(31525,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31523]) ).

cnf(31526,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31524]) ).

cnf(31527,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31525]) ).

cnf(31528,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31526]) ).

cnf(31529,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31527]) ).

cnf(31530,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31528]) ).

cnf(31531,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31529]) ).

cnf(31532,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31530]) ).

cnf(31533,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31531]) ).

cnf(31534,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,31532]) ).

cnf(31535,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,31533]) ).

cnf(31536,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31534]) ).

cnf(31537,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31535]) ).

cnf(31538,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31536]) ).

cnf(31539,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31537]) ).

cnf(31540,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31538]) ).

cnf(31541,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31539]) ).

cnf(31542,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31540]) ).

cnf(31543,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31541]) ).

cnf(31544,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31542]) ).

cnf(31545,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31543]) ).

cnf(31546,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31544]) ).

cnf(31547,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31545]) ).

cnf(31548,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31546]) ).

cnf(31549,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31547]) ).

cnf(31550,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,31548]) ).

cnf(31551,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,31549]) ).

cnf(31552,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31550]) ).

cnf(31553,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31551]) ).

cnf(31554,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31552]) ).

cnf(31555,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31553]) ).

cnf(31556,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31554]) ).

cnf(31557,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31555]) ).

cnf(31558,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31556]) ).

cnf(31559,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31557]) ).

cnf(31560,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31558]) ).

cnf(31561,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31559]) ).

cnf(31562,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31560]) ).

cnf(31563,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31561]) ).

cnf(31564,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31562]) ).

cnf(31565,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31563]) ).

cnf(31566,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,31564]) ).

cnf(31567,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,31565]) ).

cnf(31568,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31566]) ).

cnf(31569,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31567]) ).

cnf(31570,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31568]) ).

cnf(31571,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31569]) ).

cnf(31572,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31570]) ).

cnf(31573,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31571]) ).

cnf(31574,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31572]) ).

cnf(31575,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31573]) ).

cnf(31576,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31574]) ).

cnf(31577,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31575]) ).

cnf(31578,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31576]) ).

cnf(31579,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31577]) ).

cnf(31580,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31578]) ).

cnf(31581,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31579]) ).

cnf(31582,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,31580]) ).

cnf(31583,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,31581]) ).

cnf(31584,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31582]) ).

cnf(31585,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31583]) ).

cnf(31586,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31584]) ).

cnf(31587,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31585]) ).

cnf(31588,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31586]) ).

cnf(31589,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31587]) ).

cnf(31590,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31588]) ).

cnf(31591,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31589]) ).

cnf(31592,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31590]) ).

cnf(31593,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31591]) ).

cnf(31594,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31592]) ).

cnf(31595,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31593]) ).

cnf(31596,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31594]) ).

cnf(31597,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31595]) ).

cnf(31598,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,31596]) ).

cnf(31599,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,31597]) ).

cnf(31600,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31598]) ).

cnf(31601,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31599]) ).

cnf(31602,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31600]) ).

cnf(31603,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31601]) ).

cnf(31604,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31602]) ).

cnf(31605,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31603]) ).

cnf(31606,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31604]) ).

cnf(31607,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31605]) ).

cnf(31608,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31606]) ).

cnf(31609,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31607]) ).

cnf(31610,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31608]) ).

cnf(31611,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31609]) ).

cnf(31612,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31610]) ).

cnf(31613,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31611]) ).

cnf(31614,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,31612]) ).

cnf(31615,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,31613]) ).

cnf(31616,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31614]) ).

cnf(31617,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31615]) ).

cnf(31618,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31616]) ).

cnf(31619,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31617]) ).

cnf(31620,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31618]) ).

cnf(31621,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31619]) ).

cnf(31622,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31620]) ).

cnf(31623,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31621]) ).

cnf(31624,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31622]) ).

cnf(31625,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31623]) ).

cnf(31626,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31624]) ).

cnf(31627,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31625]) ).

cnf(31628,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31626]) ).

cnf(31629,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31627]) ).

cnf(31630,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,31628]) ).

cnf(31631,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,31629]) ).

cnf(31632,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31630]) ).

cnf(31633,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31631]) ).

cnf(31634,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31632]) ).

cnf(31635,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31633]) ).

cnf(31636,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31634]) ).

cnf(31637,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31635]) ).

cnf(31638,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31636]) ).

cnf(31639,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31637]) ).

cnf(31640,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31638]) ).

cnf(31641,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31639]) ).

cnf(31642,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31640]) ).

cnf(31643,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31641]) ).

cnf(31644,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31642]) ).

cnf(31645,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31643]) ).

cnf(31646,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,31644]) ).

cnf(31647,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,31645]) ).

cnf(31648,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31646]) ).

cnf(31649,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31647]) ).

cnf(31650,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31648]) ).

cnf(31651,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31649]) ).

cnf(31652,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31650]) ).

cnf(31653,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31651]) ).

cnf(31654,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31652]) ).

cnf(31655,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31653]) ).

cnf(31656,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31654]) ).

cnf(31657,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31655]) ).

cnf(31658,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31656]) ).

cnf(31659,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31657]) ).

cnf(31660,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31658]) ).

cnf(31661,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31659]) ).

cnf(31662,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,31660]) ).

cnf(31663,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,31661]) ).

cnf(31664,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31662]) ).

cnf(31665,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31663]) ).

cnf(31666,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31664]) ).

cnf(31667,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31665]) ).

cnf(31668,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31666]) ).

cnf(31669,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31667]) ).

cnf(31670,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31668]) ).

cnf(31671,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31669]) ).

cnf(31672,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31670]) ).

cnf(31673,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31671]) ).

cnf(31674,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31672]) ).

cnf(31675,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31673]) ).

cnf(31676,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31674]) ).

cnf(31677,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31675]) ).

cnf(31678,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,31676]) ).

cnf(31679,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,31677]) ).

cnf(31680,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31678]) ).

cnf(31681,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31679]) ).

cnf(31682,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31680]) ).

cnf(31683,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31681]) ).

cnf(31684,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31682]) ).

cnf(31685,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31683]) ).

cnf(31686,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31684]) ).

cnf(31687,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31685]) ).

cnf(31688,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31686]) ).

cnf(31689,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31687]) ).

cnf(31690,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31688]) ).

cnf(31691,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31689]) ).

cnf(31692,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31690]) ).

cnf(31693,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31691]) ).

cnf(31694,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,31692]) ).

cnf(31695,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,31693]) ).

cnf(31696,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31694]) ).

cnf(31697,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31695]) ).

cnf(31698,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31696]) ).

cnf(31699,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31697]) ).

cnf(31700,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31698]) ).

cnf(31701,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31699]) ).

cnf(31702,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31700]) ).

cnf(31703,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31701]) ).

cnf(31704,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31702]) ).

cnf(31705,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31703]) ).

cnf(31706,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31704]) ).

cnf(31707,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31705]) ).

cnf(31708,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31706]) ).

cnf(31709,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31707]) ).

cnf(31710,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,31708]) ).

cnf(31711,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,31709]) ).

cnf(31712,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31710]) ).

cnf(31713,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31711]) ).

cnf(31714,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31712]) ).

cnf(31715,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31713]) ).

cnf(31716,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31714]) ).

cnf(31717,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31715]) ).

cnf(31718,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31716]) ).

cnf(31719,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31717]) ).

cnf(31720,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31718]) ).

cnf(31721,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31719]) ).

cnf(31722,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31720]) ).

cnf(31723,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31721]) ).

cnf(31724,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31722]) ).

cnf(31725,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31723]) ).

cnf(31726,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,31724]) ).

cnf(31727,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,31725]) ).

cnf(31728,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31726]) ).

cnf(31729,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31727]) ).

cnf(31730,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31728]) ).

cnf(31731,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31729]) ).

cnf(31732,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31730]) ).

cnf(31733,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31731]) ).

cnf(31734,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31732]) ).

cnf(31735,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31733]) ).

cnf(31736,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31734]) ).

cnf(31737,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31735]) ).

cnf(31738,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31736]) ).

cnf(31739,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31737]) ).

cnf(31740,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31738]) ).

cnf(31741,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31739]) ).

cnf(31742,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,31740]) ).

cnf(31743,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,31741]) ).

cnf(31744,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31742]) ).

cnf(31745,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31743]) ).

cnf(31746,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31744]) ).

cnf(31747,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31745]) ).

cnf(31748,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31746]) ).

cnf(31749,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31747]) ).

cnf(31750,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31748]) ).

cnf(31751,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31749]) ).

cnf(31752,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31750]) ).

cnf(31753,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31751]) ).

cnf(31754,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31752]) ).

cnf(31755,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31753]) ).

cnf(31756,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31754]) ).

cnf(31757,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31755]) ).

cnf(31758,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,31756]) ).

cnf(31759,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,31757]) ).

cnf(31760,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31758]) ).

cnf(31761,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31759]) ).

cnf(31762,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31760]) ).

cnf(31763,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31761]) ).

cnf(31764,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31762]) ).

cnf(31765,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31763]) ).

cnf(31766,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31764]) ).

cnf(31767,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31765]) ).

cnf(31768,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31766]) ).

cnf(31769,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31767]) ).

cnf(31770,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31768]) ).

cnf(31771,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31769]) ).

cnf(31772,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31770]) ).

cnf(31773,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31771]) ).

cnf(31774,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[12,31772]) ).

cnf(31775,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[12,31773]) ).

cnf(31776,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31774]) ).

cnf(31777,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31775]) ).

cnf(31778,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31776]) ).

cnf(31779,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31777]) ).

cnf(31780,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31778]) ).

cnf(31781,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31779]) ).

cnf(31782,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31780]) ).

cnf(31783,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31781]) ).

cnf(31784,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31782]) ).

cnf(31785,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31783]) ).

cnf(31786,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31784]) ).

cnf(31787,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31785]) ).

cnf(31788,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31786]) ).

cnf(31789,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31787]) ).

cnf(31790,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,31788]) ).

cnf(31791,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,31789]) ).

cnf(31792,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31790]) ).

cnf(31793,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31791]) ).

cnf(31794,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31792]) ).

cnf(31795,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31793]) ).

cnf(31796,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31794]) ).

cnf(31797,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31795]) ).

cnf(31798,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31796]) ).

cnf(31799,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31797]) ).

cnf(31800,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31798]) ).

cnf(31801,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31799]) ).

cnf(31802,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31800]) ).

cnf(31803,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31801]) ).

cnf(31804,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31802]) ).

cnf(31805,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31803]) ).

cnf(31806,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,31804]) ).

cnf(31807,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,31805]) ).

cnf(31808,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31806]) ).

cnf(31809,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31807]) ).

cnf(31810,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31808]) ).

cnf(31811,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31809]) ).

cnf(31812,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31810]) ).

cnf(31813,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31811]) ).

cnf(31814,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31812]) ).

cnf(31815,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31813]) ).

cnf(31816,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31814]) ).

cnf(31817,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31815]) ).

cnf(31818,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31816]) ).

cnf(31819,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31817]) ).

cnf(31820,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31818]) ).

cnf(31821,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31819]) ).

cnf(31822,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,31820]) ).

cnf(31823,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,31821]) ).

cnf(31824,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31822]) ).

cnf(31825,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31823]) ).

cnf(31826,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31824]) ).

cnf(31827,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31825]) ).

cnf(31828,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31826]) ).

cnf(31829,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31827]) ).

cnf(31830,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31828]) ).

cnf(31831,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31829]) ).

cnf(31832,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31830]) ).

cnf(31833,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31831]) ).

cnf(31834,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31832]) ).

cnf(31835,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31833]) ).

cnf(31836,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31834]) ).

cnf(31837,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31835]) ).

cnf(31838,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,31836]) ).

cnf(31839,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,31837]) ).

cnf(31840,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31838]) ).

cnf(31841,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31839]) ).

cnf(31842,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31840]) ).

cnf(31843,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31841]) ).

cnf(31844,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31842]) ).

cnf(31845,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31843]) ).

cnf(31846,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31844]) ).

cnf(31847,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31845]) ).

cnf(31848,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31846]) ).

cnf(31849,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31847]) ).

cnf(31850,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31848]) ).

cnf(31851,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31849]) ).

cnf(31852,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31850]) ).

cnf(31853,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31851]) ).

cnf(31854,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,31852]) ).

cnf(31855,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,31853]) ).

cnf(31856,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31854]) ).

cnf(31857,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31855]) ).

cnf(31858,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31856]) ).

cnf(31859,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31857]) ).

cnf(31860,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31858]) ).

cnf(31861,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31859]) ).

cnf(31862,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31860]) ).

cnf(31863,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31861]) ).

cnf(31864,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31862]) ).

cnf(31865,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31863]) ).

cnf(31866,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31864]) ).

cnf(31867,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31865]) ).

cnf(31868,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31866]) ).

cnf(31869,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31867]) ).

cnf(31870,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,31868]) ).

cnf(31871,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,31869]) ).

cnf(31872,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31870]) ).

cnf(31873,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31871]) ).

cnf(31874,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31872]) ).

cnf(31875,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31873]) ).

cnf(31876,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31874]) ).

cnf(31877,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31875]) ).

cnf(31878,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31876]) ).

cnf(31879,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31877]) ).

cnf(31880,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31878]) ).

cnf(31881,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31879]) ).

cnf(31882,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31880]) ).

cnf(31883,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31881]) ).

cnf(31884,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31882]) ).

cnf(31885,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31883]) ).

cnf(31886,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,31884]) ).

cnf(31887,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,31885]) ).

cnf(31888,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31886]) ).

cnf(31889,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31887]) ).

cnf(31890,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31888]) ).

cnf(31891,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31889]) ).

cnf(31892,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31890]) ).

cnf(31893,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31891]) ).

cnf(31894,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31892]) ).

cnf(31895,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31893]) ).

cnf(31896,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31894]) ).

cnf(31897,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31895]) ).

cnf(31898,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31896]) ).

cnf(31899,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31897]) ).

cnf(31900,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31898]) ).

cnf(31901,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31899]) ).

cnf(31902,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,31900]) ).

cnf(31903,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,31901]) ).

cnf(31904,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31902]) ).

cnf(31905,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31903]) ).

cnf(31906,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31904]) ).

cnf(31907,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31905]) ).

cnf(31908,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31906]) ).

cnf(31909,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31907]) ).

cnf(31910,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31908]) ).

cnf(31911,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31909]) ).

cnf(31912,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31910]) ).

cnf(31913,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31911]) ).

cnf(31914,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31912]) ).

cnf(31915,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31913]) ).

cnf(31916,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31914]) ).

cnf(31917,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31915]) ).

cnf(31918,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,31916]) ).

cnf(31919,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,31917]) ).

cnf(31920,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31918]) ).

cnf(31921,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31919]) ).

cnf(31922,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31920]) ).

cnf(31923,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31921]) ).

cnf(31924,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31922]) ).

cnf(31925,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31923]) ).

cnf(31926,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31924]) ).

cnf(31927,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31925]) ).

cnf(31928,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31926]) ).

cnf(31929,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31927]) ).

cnf(31930,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31928]) ).

cnf(31931,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31929]) ).

cnf(31932,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31930]) ).

cnf(31933,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31931]) ).

cnf(31934,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,31932]) ).

cnf(31935,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,31933]) ).

cnf(31936,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31934]) ).

cnf(31937,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31935]) ).

cnf(31938,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31936]) ).

cnf(31939,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31937]) ).

cnf(31940,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31938]) ).

cnf(31941,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31939]) ).

cnf(31942,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31940]) ).

cnf(31943,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31941]) ).

cnf(31944,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31942]) ).

cnf(31945,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31943]) ).

cnf(31946,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31944]) ).

cnf(31947,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31945]) ).

cnf(31948,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31946]) ).

cnf(31949,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31947]) ).

cnf(31950,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,31948]) ).

cnf(31951,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,31949]) ).

cnf(31952,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31950]) ).

cnf(31953,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31951]) ).

cnf(31954,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31952]) ).

cnf(31955,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31953]) ).

cnf(31956,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31954]) ).

cnf(31957,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31955]) ).

cnf(31958,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31956]) ).

cnf(31959,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31957]) ).

cnf(31960,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31958]) ).

cnf(31961,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31959]) ).

cnf(31962,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31960]) ).

cnf(31963,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31961]) ).

cnf(31964,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31962]) ).

cnf(31965,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31963]) ).

cnf(31966,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,31964]) ).

cnf(31967,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,31965]) ).

cnf(31968,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31966]) ).

cnf(31969,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31967]) ).

cnf(31970,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31968]) ).

cnf(31971,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31969]) ).

cnf(31972,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31970]) ).

cnf(31973,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31971]) ).

cnf(31974,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31972]) ).

cnf(31975,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31973]) ).

cnf(31976,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31974]) ).

cnf(31977,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31975]) ).

cnf(31978,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31976]) ).

cnf(31979,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31977]) ).

cnf(31980,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31978]) ).

cnf(31981,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31979]) ).

cnf(31982,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,31980]) ).

cnf(31983,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,31981]) ).

cnf(31984,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31982]) ).

cnf(31985,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31983]) ).

cnf(31986,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31984]) ).

cnf(31987,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31985]) ).

cnf(31988,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31986]) ).

cnf(31989,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31987]) ).

cnf(31990,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,31988]) ).

cnf(31991,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,31989]) ).

cnf(31992,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31990]) ).

cnf(31993,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31991]) ).

cnf(31994,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,31992]) ).

cnf(31995,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,31993]) ).

cnf(31996,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31994]) ).

cnf(31997,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31995]) ).

cnf(31998,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,31996]) ).

cnf(31999,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,31997]) ).

cnf(32000,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,31998]) ).

cnf(32001,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,31999]) ).

cnf(32002,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32000]) ).

cnf(32003,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32001]) ).

cnf(32004,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32002]) ).

cnf(32005,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32003]) ).

cnf(32006,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,32004]) ).

cnf(32007,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,32005]) ).

cnf(32008,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32006]) ).

cnf(32009,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32007]) ).

cnf(32010,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32008]) ).

cnf(32011,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32009]) ).

cnf(32012,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32010]) ).

cnf(32013,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32011]) ).

cnf(32014,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,32012]) ).

cnf(32015,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,32013]) ).

cnf(32016,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32014]) ).

cnf(32017,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32015]) ).

cnf(32018,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32016]) ).

cnf(32019,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32017]) ).

cnf(32020,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32018]) ).

cnf(32021,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32019]) ).

cnf(32022,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,32020]) ).

cnf(32023,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,32021]) ).

cnf(32024,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32022]) ).

cnf(32025,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32023]) ).

cnf(32026,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32024]) ).

cnf(32027,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32025]) ).

cnf(32028,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32026]) ).

cnf(32029,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32027]) ).

cnf(32030,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,32028]) ).

cnf(32031,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,32029]) ).

cnf(32032,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32030]) ).

cnf(32033,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32031]) ).

cnf(32034,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32032]) ).

cnf(32035,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32033]) ).

cnf(32036,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32034]) ).

cnf(32037,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32035]) ).

cnf(32038,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,32036]) ).

cnf(32039,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,32037]) ).

cnf(32040,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32038]) ).

cnf(32041,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32039]) ).

cnf(32042,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32040]) ).

cnf(32043,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32041]) ).

cnf(32044,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32042]) ).

cnf(32045,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32043]) ).

cnf(32046,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,32044]) ).

cnf(32047,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,32045]) ).

cnf(32048,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32046]) ).

cnf(32049,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32047]) ).

cnf(32050,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32048]) ).

cnf(32051,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32049]) ).

cnf(32052,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32050]) ).

cnf(32053,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32051]) ).

cnf(32054,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,32052]) ).

cnf(32055,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,32053]) ).

cnf(32056,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32054]) ).

cnf(32057,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32055]) ).

cnf(32058,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32056]) ).

cnf(32059,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32057]) ).

cnf(32060,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32058]) ).

cnf(32061,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32059]) ).

cnf(32062,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,32060]) ).

cnf(32063,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,32061]) ).

cnf(32064,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32062]) ).

cnf(32065,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32063]) ).

cnf(32066,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32064]) ).

cnf(32067,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32065]) ).

cnf(32068,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32066]) ).

cnf(32069,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32067]) ).

cnf(32070,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,32068]) ).

cnf(32071,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,32069]) ).

cnf(32072,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32070]) ).

cnf(32073,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32071]) ).

cnf(32074,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32072]) ).

cnf(32075,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32073]) ).

cnf(32076,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32074]) ).

cnf(32077,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32075]) ).

cnf(32078,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,32076]) ).

cnf(32079,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,32077]) ).

cnf(32080,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32078]) ).

cnf(32081,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32079]) ).

cnf(32082,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32080]) ).

cnf(32083,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32081]) ).

cnf(32084,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32082]) ).

cnf(32085,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32083]) ).

cnf(32086,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,32084]) ).

cnf(32087,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,32085]) ).

cnf(32088,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32086]) ).

cnf(32089,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32087]) ).

cnf(32090,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32088]) ).

cnf(32091,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32089]) ).

cnf(32092,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32090]) ).

cnf(32093,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32091]) ).

cnf(32094,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,32092]) ).

cnf(32095,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,32093]) ).

cnf(32096,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32094]) ).

cnf(32097,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32095]) ).

cnf(32098,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32096]) ).

cnf(32099,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32097]) ).

cnf(32100,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32098]) ).

cnf(32101,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32099]) ).

cnf(32102,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,32100]) ).

cnf(32103,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,32101]) ).

cnf(32104,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32102]) ).

cnf(32105,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32103]) ).

cnf(32106,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32104]) ).

cnf(32107,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32105]) ).

cnf(32108,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32106]) ).

cnf(32109,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32107]) ).

cnf(32110,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,32108]) ).

cnf(32111,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,32109]) ).

cnf(32112,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32110]) ).

cnf(32113,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32111]) ).

cnf(32114,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32112]) ).

cnf(32115,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32113]) ).

cnf(32116,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32114]) ).

cnf(32117,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32115]) ).

cnf(32118,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,32116]) ).

cnf(32119,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,32117]) ).

cnf(32120,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32118]) ).

cnf(32121,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32119]) ).

cnf(32122,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32120]) ).

cnf(32123,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32121]) ).

cnf(32124,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32122]) ).

cnf(32125,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32123]) ).

cnf(32126,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,32124]) ).

cnf(32127,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,32125]) ).

cnf(32128,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32126]) ).

cnf(32129,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32127]) ).

cnf(32130,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32128]) ).

cnf(32131,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32129]) ).

cnf(32132,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32130]) ).

cnf(32133,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32131]) ).

cnf(32134,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,32132]) ).

cnf(32135,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,32133]) ).

cnf(32136,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32134]) ).

cnf(32137,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32135]) ).

cnf(32138,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32136]) ).

cnf(32139,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32137]) ).

cnf(32140,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32138]) ).

cnf(32141,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32139]) ).

cnf(32142,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,32140]) ).

cnf(32143,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,32141]) ).

cnf(32144,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32142]) ).

cnf(32145,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32143]) ).

cnf(32146,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32144]) ).

cnf(32147,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32145]) ).

cnf(32148,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32146]) ).

cnf(32149,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32147]) ).

cnf(32150,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,32148]) ).

cnf(32151,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,32149]) ).

cnf(32152,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32150]) ).

cnf(32153,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32151]) ).

cnf(32154,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32152]) ).

cnf(32155,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32153]) ).

cnf(32156,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32154]) ).

cnf(32157,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32155]) ).

cnf(32158,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,32156]) ).

cnf(32159,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,32157]) ).

cnf(32160,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32158]) ).

cnf(32161,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32159]) ).

cnf(32162,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32160]) ).

cnf(32163,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32161]) ).

cnf(32164,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32162]) ).

cnf(32165,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32163]) ).

cnf(32166,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,32164]) ).

cnf(32167,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,32165]) ).

cnf(32168,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32166]) ).

cnf(32169,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32167]) ).

cnf(32170,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32168]) ).

cnf(32171,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32169]) ).

cnf(32172,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32170]) ).

cnf(32173,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32171]) ).

cnf(32174,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,32172]) ).

cnf(32175,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,32173]) ).

cnf(32176,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32174]) ).

cnf(32177,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32175]) ).

cnf(32178,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32176]) ).

cnf(32179,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32177]) ).

cnf(32180,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32178]) ).

cnf(32181,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32179]) ).

cnf(32182,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,32180]) ).

cnf(32183,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,32181]) ).

cnf(32184,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32182]) ).

cnf(32185,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32183]) ).

cnf(32186,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32184]) ).

cnf(32187,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32185]) ).

cnf(32188,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32186]) ).

cnf(32189,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32187]) ).

cnf(32190,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,32188]) ).

cnf(32191,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,32189]) ).

cnf(32192,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32190]) ).

cnf(32193,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32191]) ).

cnf(32194,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32192]) ).

cnf(32195,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32193]) ).

cnf(32196,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32194]) ).

cnf(32197,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32195]) ).

cnf(32198,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,32196]) ).

cnf(32199,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,32197]) ).

cnf(32200,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32198]) ).

cnf(32201,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32199]) ).

cnf(32202,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32200]) ).

cnf(32203,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32201]) ).

cnf(32204,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32202]) ).

cnf(32205,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32203]) ).

cnf(32206,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,32204]) ).

cnf(32207,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,32205]) ).

cnf(32208,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32206]) ).

cnf(32209,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32207]) ).

cnf(32210,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32208]) ).

cnf(32211,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32209]) ).

cnf(32212,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32210]) ).

cnf(32213,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32211]) ).

cnf(32214,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,32212]) ).

cnf(32215,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,32213]) ).

cnf(32216,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32214]) ).

cnf(32217,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32215]) ).

cnf(32218,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32216]) ).

cnf(32219,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32217]) ).

cnf(32220,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32218]) ).

cnf(32221,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32219]) ).

cnf(32222,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,32220]) ).

cnf(32223,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,32221]) ).

cnf(32224,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32222]) ).

cnf(32225,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32223]) ).

cnf(32226,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32224]) ).

cnf(32227,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32225]) ).

cnf(32228,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32226]) ).

cnf(32229,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32227]) ).

cnf(32230,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,32228]) ).

cnf(32231,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,32229]) ).

cnf(32232,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32230]) ).

cnf(32233,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32231]) ).

cnf(32234,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32232]) ).

cnf(32235,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32233]) ).

cnf(32236,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32234]) ).

cnf(32237,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32235]) ).

cnf(32238,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,32236]) ).

cnf(32239,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,32237]) ).

cnf(32240,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32238]) ).

cnf(32241,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32239]) ).

cnf(32242,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32240]) ).

cnf(32243,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32241]) ).

cnf(32244,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32242]) ).

cnf(32245,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32243]) ).

cnf(32246,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,32244]) ).

cnf(32247,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,32245]) ).

cnf(32248,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32246]) ).

cnf(32249,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32247]) ).

cnf(32250,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32248]) ).

cnf(32251,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32249]) ).

cnf(32252,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32250]) ).

cnf(32253,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32251]) ).

cnf(32254,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,32252]) ).

cnf(32255,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,32253]) ).

cnf(32256,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32254]) ).

cnf(32257,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32255]) ).

cnf(32258,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32256]) ).

cnf(32259,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32257]) ).

cnf(32260,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32258]) ).

cnf(32261,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32259]) ).

cnf(32262,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,32260]) ).

cnf(32263,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,32261]) ).

cnf(32264,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32262]) ).

cnf(32265,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32263]) ).

cnf(32266,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32264]) ).

cnf(32267,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32265]) ).

cnf(32268,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32266]) ).

cnf(32269,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32267]) ).

cnf(32270,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,32268]) ).

cnf(32271,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,32269]) ).

cnf(32272,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32270]) ).

cnf(32273,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32271]) ).

cnf(32274,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32272]) ).

cnf(32275,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32273]) ).

cnf(32276,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32274]) ).

cnf(32277,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32275]) ).

cnf(32278,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,32276]) ).

cnf(32279,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,32277]) ).

cnf(32280,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32278]) ).

cnf(32281,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32279]) ).

cnf(32282,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32280]) ).

cnf(32283,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32281]) ).

cnf(32284,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32282]) ).

cnf(32285,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32283]) ).

cnf(32286,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[11,32284]) ).

cnf(32287,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[11,32285]) ).

cnf(32288,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32286]) ).

cnf(32289,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32287]) ).

cnf(32290,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32288]) ).

cnf(32291,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32289]) ).

cnf(32292,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32290]) ).

cnf(32293,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32291]) ).

cnf(32294,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,32292]) ).

cnf(32295,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,32293]) ).

cnf(32296,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32294]) ).

cnf(32297,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32295]) ).

cnf(32298,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32296]) ).

cnf(32299,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32297]) ).

cnf(32300,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32298]) ).

cnf(32301,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32299]) ).

cnf(32302,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,32300]) ).

cnf(32303,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,32301]) ).

cnf(32304,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32302]) ).

cnf(32305,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32303]) ).

cnf(32306,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32304]) ).

cnf(32307,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32305]) ).

cnf(32308,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32306]) ).

cnf(32309,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32307]) ).

cnf(32310,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,32308]) ).

cnf(32311,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,32309]) ).

cnf(32312,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32310]) ).

cnf(32313,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32311]) ).

cnf(32314,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32312]) ).

cnf(32315,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32313]) ).

cnf(32316,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32314]) ).

cnf(32317,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32315]) ).

cnf(32318,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,32316]) ).

cnf(32319,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,32317]) ).

cnf(32320,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32318]) ).

cnf(32321,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32319]) ).

cnf(32322,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32320]) ).

cnf(32323,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32321]) ).

cnf(32324,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32322]) ).

cnf(32325,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32323]) ).

cnf(32326,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,32324]) ).

cnf(32327,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,32325]) ).

cnf(32328,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32326]) ).

cnf(32329,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32327]) ).

cnf(32330,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32328]) ).

cnf(32331,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32329]) ).

cnf(32332,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32330]) ).

cnf(32333,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32331]) ).

cnf(32334,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,32332]) ).

cnf(32335,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,32333]) ).

cnf(32336,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32334]) ).

cnf(32337,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32335]) ).

cnf(32338,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32336]) ).

cnf(32339,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32337]) ).

cnf(32340,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32338]) ).

cnf(32341,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32339]) ).

cnf(32342,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,32340]) ).

cnf(32343,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,32341]) ).

cnf(32344,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32342]) ).

cnf(32345,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32343]) ).

cnf(32346,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32344]) ).

cnf(32347,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32345]) ).

cnf(32348,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32346]) ).

cnf(32349,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32347]) ).

cnf(32350,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,32348]) ).

cnf(32351,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,32349]) ).

cnf(32352,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32350]) ).

cnf(32353,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32351]) ).

cnf(32354,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32352]) ).

cnf(32355,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32353]) ).

cnf(32356,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32354]) ).

cnf(32357,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32355]) ).

cnf(32358,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,32356]) ).

cnf(32359,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,32357]) ).

cnf(32360,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32358]) ).

cnf(32361,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32359]) ).

cnf(32362,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32360]) ).

cnf(32363,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32361]) ).

cnf(32364,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32362]) ).

cnf(32365,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32363]) ).

cnf(32366,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,32364]) ).

cnf(32367,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,32365]) ).

cnf(32368,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32366]) ).

cnf(32369,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32367]) ).

cnf(32370,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32368]) ).

cnf(32371,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32369]) ).

cnf(32372,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32370]) ).

cnf(32373,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32371]) ).

cnf(32374,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,32372]) ).

cnf(32375,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,32373]) ).

cnf(32376,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32374]) ).

cnf(32377,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32375]) ).

cnf(32378,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32376]) ).

cnf(32379,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32377]) ).

cnf(32380,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32378]) ).

cnf(32381,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32379]) ).

cnf(32382,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,32380]) ).

cnf(32383,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,32381]) ).

cnf(32384,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32382]) ).

cnf(32385,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32383]) ).

cnf(32386,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32384]) ).

cnf(32387,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32385]) ).

cnf(32388,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32386]) ).

cnf(32389,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32387]) ).

cnf(32390,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,32388]) ).

cnf(32391,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,32389]) ).

cnf(32392,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32390]) ).

cnf(32393,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32391]) ).

cnf(32394,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32392]) ).

cnf(32395,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32393]) ).

cnf(32396,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32394]) ).

cnf(32397,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32395]) ).

cnf(32398,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,32396]) ).

cnf(32399,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,32397]) ).

cnf(32400,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32398]) ).

cnf(32401,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32399]) ).

cnf(32402,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32400]) ).

cnf(32403,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32401]) ).

cnf(32404,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32402]) ).

cnf(32405,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32403]) ).

cnf(32406,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,32404]) ).

cnf(32407,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,32405]) ).

cnf(32408,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32406]) ).

cnf(32409,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32407]) ).

cnf(32410,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32408]) ).

cnf(32411,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32409]) ).

cnf(32412,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32410]) ).

cnf(32413,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32411]) ).

cnf(32414,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,32412]) ).

cnf(32415,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,32413]) ).

cnf(32416,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32414]) ).

cnf(32417,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32415]) ).

cnf(32418,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32416]) ).

cnf(32419,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32417]) ).

cnf(32420,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32418]) ).

cnf(32421,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32419]) ).

cnf(32422,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,32420]) ).

cnf(32423,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,32421]) ).

cnf(32424,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32422]) ).

cnf(32425,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32423]) ).

cnf(32426,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32424]) ).

cnf(32427,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32425]) ).

cnf(32428,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32426]) ).

cnf(32429,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32427]) ).

cnf(32430,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,32428]) ).

cnf(32431,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,32429]) ).

cnf(32432,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32430]) ).

cnf(32433,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32431]) ).

cnf(32434,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32432]) ).

cnf(32435,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32433]) ).

cnf(32436,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32434]) ).

cnf(32437,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32435]) ).

cnf(32438,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,32436]) ).

cnf(32439,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,32437]) ).

cnf(32440,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32438]) ).

cnf(32441,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32439]) ).

cnf(32442,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32440]) ).

cnf(32443,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32441]) ).

cnf(32444,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32442]) ).

cnf(32445,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32443]) ).

cnf(32446,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,32444]) ).

cnf(32447,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,32445]) ).

cnf(32448,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32446]) ).

cnf(32449,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32447]) ).

cnf(32450,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32448]) ).

cnf(32451,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32449]) ).

cnf(32452,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32450]) ).

cnf(32453,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32451]) ).

cnf(32454,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,32452]) ).

cnf(32455,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,32453]) ).

cnf(32456,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32454]) ).

cnf(32457,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32455]) ).

cnf(32458,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32456]) ).

cnf(32459,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32457]) ).

cnf(32460,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32458]) ).

cnf(32461,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32459]) ).

cnf(32462,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,32460]) ).

cnf(32463,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,32461]) ).

cnf(32464,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32462]) ).

cnf(32465,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32463]) ).

cnf(32466,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32464]) ).

cnf(32467,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32465]) ).

cnf(32468,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32466]) ).

cnf(32469,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32467]) ).

cnf(32470,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,32468]) ).

cnf(32471,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,32469]) ).

cnf(32472,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32470]) ).

cnf(32473,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32471]) ).

cnf(32474,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32472]) ).

cnf(32475,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32473]) ).

cnf(32476,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32474]) ).

cnf(32477,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32475]) ).

cnf(32478,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,32476]) ).

cnf(32479,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,32477]) ).

cnf(32480,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32478]) ).

cnf(32481,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32479]) ).

cnf(32482,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32480]) ).

cnf(32483,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32481]) ).

cnf(32484,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32482]) ).

cnf(32485,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32483]) ).

cnf(32486,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,32484]) ).

cnf(32487,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,32485]) ).

cnf(32488,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32486]) ).

cnf(32489,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32487]) ).

cnf(32490,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32488]) ).

cnf(32491,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32489]) ).

cnf(32492,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32490]) ).

cnf(32493,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32491]) ).

cnf(32494,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,32492]) ).

cnf(32495,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,32493]) ).

cnf(32496,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32494]) ).

cnf(32497,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32495]) ).

cnf(32498,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32496]) ).

cnf(32499,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32497]) ).

cnf(32500,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32498]) ).

cnf(32501,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32499]) ).

cnf(32502,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,32500]) ).

cnf(32503,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,32501]) ).

cnf(32504,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32502]) ).

cnf(32505,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32503]) ).

cnf(32506,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32504]) ).

cnf(32507,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32505]) ).

cnf(32508,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32506]) ).

cnf(32509,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32507]) ).

cnf(32510,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,32508]) ).

cnf(32511,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,32509]) ).

cnf(32512,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32510]) ).

cnf(32513,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32511]) ).

cnf(32514,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32512]) ).

cnf(32515,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32513]) ).

cnf(32516,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32514]) ).

cnf(32517,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32515]) ).

cnf(32518,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,32516]) ).

cnf(32519,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,32517]) ).

cnf(32520,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32518]) ).

cnf(32521,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32519]) ).

cnf(32522,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32520]) ).

cnf(32523,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32521]) ).

cnf(32524,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32522]) ).

cnf(32525,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32523]) ).

cnf(32526,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,32524]) ).

cnf(32527,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,32525]) ).

cnf(32528,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32526]) ).

cnf(32529,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32527]) ).

cnf(32530,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32528]) ).

cnf(32531,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32529]) ).

cnf(32532,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32530]) ).

cnf(32533,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32531]) ).

cnf(32534,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,32532]) ).

cnf(32535,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,32533]) ).

cnf(32536,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32534]) ).

cnf(32537,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32535]) ).

cnf(32538,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32536]) ).

cnf(32539,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32537]) ).

cnf(32540,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32538]) ).

cnf(32541,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32539]) ).

cnf(32542,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[10,32540]) ).

cnf(32543,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[10,32541]) ).

cnf(32544,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32542]) ).

cnf(32545,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32543]) ).

cnf(32546,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32544]) ).

cnf(32547,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32545]) ).

cnf(32548,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32546]) ).

cnf(32549,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32547]) ).

cnf(32550,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,32548]) ).

cnf(32551,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,32549]) ).

cnf(32552,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32550]) ).

cnf(32553,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32551]) ).

cnf(32554,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32552]) ).

cnf(32555,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32553]) ).

cnf(32556,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32554]) ).

cnf(32557,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32555]) ).

cnf(32558,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,32556]) ).

cnf(32559,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,32557]) ).

cnf(32560,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32558]) ).

cnf(32561,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32559]) ).

cnf(32562,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32560]) ).

cnf(32563,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32561]) ).

cnf(32564,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32562]) ).

cnf(32565,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32563]) ).

cnf(32566,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,32564]) ).

cnf(32567,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,32565]) ).

cnf(32568,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32566]) ).

cnf(32569,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32567]) ).

cnf(32570,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32568]) ).

cnf(32571,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32569]) ).

cnf(32572,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32570]) ).

cnf(32573,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32571]) ).

cnf(32574,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,32572]) ).

cnf(32575,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,32573]) ).

cnf(32576,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32574]) ).

cnf(32577,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32575]) ).

cnf(32578,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32576]) ).

cnf(32579,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32577]) ).

cnf(32580,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32578]) ).

cnf(32581,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32579]) ).

cnf(32582,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,32580]) ).

cnf(32583,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,32581]) ).

cnf(32584,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32582]) ).

cnf(32585,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32583]) ).

cnf(32586,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32584]) ).

cnf(32587,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32585]) ).

cnf(32588,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32586]) ).

cnf(32589,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32587]) ).

cnf(32590,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,32588]) ).

cnf(32591,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,32589]) ).

cnf(32592,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32590]) ).

cnf(32593,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32591]) ).

cnf(32594,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32592]) ).

cnf(32595,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32593]) ).

cnf(32596,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32594]) ).

cnf(32597,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32595]) ).

cnf(32598,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,32596]) ).

cnf(32599,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,32597]) ).

cnf(32600,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32598]) ).

cnf(32601,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32599]) ).

cnf(32602,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32600]) ).

cnf(32603,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32601]) ).

cnf(32604,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32602]) ).

cnf(32605,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32603]) ).

cnf(32606,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,32604]) ).

cnf(32607,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,32605]) ).

cnf(32608,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32606]) ).

cnf(32609,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32607]) ).

cnf(32610,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32608]) ).

cnf(32611,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32609]) ).

cnf(32612,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32610]) ).

cnf(32613,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32611]) ).

cnf(32614,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,32612]) ).

cnf(32615,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,32613]) ).

cnf(32616,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32614]) ).

cnf(32617,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32615]) ).

cnf(32618,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32616]) ).

cnf(32619,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32617]) ).

cnf(32620,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32618]) ).

cnf(32621,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32619]) ).

cnf(32622,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,32620]) ).

cnf(32623,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,32621]) ).

cnf(32624,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32622]) ).

cnf(32625,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32623]) ).

cnf(32626,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32624]) ).

cnf(32627,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32625]) ).

cnf(32628,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32626]) ).

cnf(32629,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32627]) ).

cnf(32630,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,32628]) ).

cnf(32631,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,32629]) ).

cnf(32632,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32630]) ).

cnf(32633,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32631]) ).

cnf(32634,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32632]) ).

cnf(32635,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32633]) ).

cnf(32636,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32634]) ).

cnf(32637,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32635]) ).

cnf(32638,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,32636]) ).

cnf(32639,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,32637]) ).

cnf(32640,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32638]) ).

cnf(32641,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32639]) ).

cnf(32642,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32640]) ).

cnf(32643,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32641]) ).

cnf(32644,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32642]) ).

cnf(32645,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32643]) ).

cnf(32646,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,32644]) ).

cnf(32647,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,32645]) ).

cnf(32648,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32646]) ).

cnf(32649,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32647]) ).

cnf(32650,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32648]) ).

cnf(32651,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32649]) ).

cnf(32652,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32650]) ).

cnf(32653,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32651]) ).

cnf(32654,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,32652]) ).

cnf(32655,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,32653]) ).

cnf(32656,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32654]) ).

cnf(32657,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32655]) ).

cnf(32658,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32656]) ).

cnf(32659,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32657]) ).

cnf(32660,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32658]) ).

cnf(32661,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32659]) ).

cnf(32662,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,32660]) ).

cnf(32663,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,32661]) ).

cnf(32664,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32662]) ).

cnf(32665,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32663]) ).

cnf(32666,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32664]) ).

cnf(32667,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32665]) ).

cnf(32668,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32666]) ).

cnf(32669,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32667]) ).

cnf(32670,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[9,32668]) ).

cnf(32671,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[9,32669]) ).

cnf(32672,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32670]) ).

cnf(32673,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32671]) ).

cnf(32674,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32672]) ).

cnf(32675,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32673]) ).

cnf(32676,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32674]) ).

cnf(32677,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32675]) ).

cnf(32678,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,32676]) ).

cnf(32679,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,32677]) ).

cnf(32680,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32678]) ).

cnf(32681,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32679]) ).

cnf(32682,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32680]) ).

cnf(32683,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32681]) ).

cnf(32684,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32682]) ).

cnf(32685,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32683]) ).

cnf(32686,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,32684]) ).

cnf(32687,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,32685]) ).

cnf(32688,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32686]) ).

cnf(32689,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32687]) ).

cnf(32690,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32688]) ).

cnf(32691,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32689]) ).

cnf(32692,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32690]) ).

cnf(32693,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32691]) ).

cnf(32694,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,32692]) ).

cnf(32695,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,32693]) ).

cnf(32696,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32694]) ).

cnf(32697,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32695]) ).

cnf(32698,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32696]) ).

cnf(32699,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32697]) ).

cnf(32700,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32698]) ).

cnf(32701,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32699]) ).

cnf(32702,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,32700]) ).

cnf(32703,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,32701]) ).

cnf(32704,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32702]) ).

cnf(32705,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32703]) ).

cnf(32706,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32704]) ).

cnf(32707,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32705]) ).

cnf(32708,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32706]) ).

cnf(32709,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32707]) ).

cnf(32710,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,32708]) ).

cnf(32711,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,32709]) ).

cnf(32712,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32710]) ).

cnf(32713,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32711]) ).

cnf(32714,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32712]) ).

cnf(32715,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32713]) ).

cnf(32716,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32714]) ).

cnf(32717,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32715]) ).

cnf(32718,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,32716]) ).

cnf(32719,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,32717]) ).

cnf(32720,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32718]) ).

cnf(32721,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32719]) ).

cnf(32722,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32720]) ).

cnf(32723,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32721]) ).

cnf(32724,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32722]) ).

cnf(32725,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32723]) ).

cnf(32726,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,32724]) ).

cnf(32727,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,32725]) ).

cnf(32728,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32726]) ).

cnf(32729,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32727]) ).

cnf(32730,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32728]) ).

cnf(32731,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32729]) ).

cnf(32732,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32730]) ).

cnf(32733,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32731]) ).

cnf(32734,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[8,32732]) ).

cnf(32735,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[8,32733]) ).

cnf(32736,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32734]) ).

cnf(32737,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32735]) ).

cnf(32738,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32736]) ).

cnf(32739,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32737]) ).

cnf(32740,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32738]) ).

cnf(32741,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32739]) ).

cnf(32742,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,32740]) ).

cnf(32743,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,32741]) ).

cnf(32744,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32742]) ).

cnf(32745,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32743]) ).

cnf(32746,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32744]) ).

cnf(32747,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32745]) ).

cnf(32748,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32746]) ).

cnf(32749,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32747]) ).

cnf(32750,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,32748]) ).

cnf(32751,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,32749]) ).

cnf(32752,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32750]) ).

cnf(32753,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32751]) ).

cnf(32754,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32752]) ).

cnf(32755,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32753]) ).

cnf(32756,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32754]) ).

cnf(32757,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32755]) ).

cnf(32758,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,32756]) ).

cnf(32759,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,32757]) ).

cnf(32760,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32758]) ).

cnf(32761,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32759]) ).

cnf(32762,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32760]) ).

cnf(32763,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32761]) ).

cnf(32764,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32762]) ).

cnf(32765,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32763]) ).

cnf(32766,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[7,32764]) ).

cnf(32767,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[7,32765]) ).

cnf(32768,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32766]) ).

cnf(32769,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32767]) ).

cnf(32770,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32768]) ).

cnf(32771,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32769]) ).

cnf(32772,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32770]) ).

cnf(32773,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32771]) ).

cnf(32774,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,32772]) ).

cnf(32775,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,32773]) ).

cnf(32776,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32774]) ).

cnf(32777,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32775]) ).

cnf(32778,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32776]) ).

cnf(32779,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32777]) ).

cnf(32780,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32778]) ).

cnf(32781,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32779]) ).

cnf(32782,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[6,32780]) ).

cnf(32783,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[6,32781]) ).

cnf(32784,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32782]) ).

cnf(32785,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32783]) ).

cnf(32786,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32784]) ).

cnf(32787,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32785]) ).

cnf(32788,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32786]) ).

cnf(32789,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32787]) ).

cnf(32790,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0),
    inference('HYPERRESOLVE',[status(thm)],[5,32788]) ).

cnf(32791,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1),
    inference('UR-RESOLVE',[status(thm)],[5,32789]) ).

cnf(32792,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32790]) ).

cnf(32793,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32791]) ).

cnf(32794,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0),
    inference('HYPERRESOLVE',[status(thm)],[4,32792]) ).

cnf(32795,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
    inference('UR-RESOLVE',[status(thm)],[4,32793]) ).

cnf(32796,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('HYPERRESOLVE',[status(thm)],[3,32794]) ).

cnf(32797,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference('UR-RESOLVE',[status(thm)],[3,32795]) ).

cnf(32798,plain,
    ~ bin_count(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference('REWRITE',[status(thm)],[17,32797]) ).

cnf(32799,plain,
    $false,
    inference('REWRITE',[status(thm)],[32796,32798]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYO525+1.015 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n009.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jul  9 13:30:52 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.46  SNARK-TPTP-OPTIONS
% 0.18/0.46  * 
% 0.18/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46   (USE-FACTORING :POS)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46  * 
% 0.18/0.46  "."
% 0.18/0.46  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T13:30:52
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-07-09T13:30:52
% 126.81/127.02  
% 126.81/127.02  
% 126.81/127.02  #||
% 126.81/127.02  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 126.91/127.08  % SZS output start Refutation
% See solution above
% 132.77/132.96  ||#
% 132.77/132.96  
% 132.77/132.96  ; Summary of computation:
% 132.77/132.96  ;     49182 formulas have been input or derived (from 32783 formulas).
% 132.77/132.96  ;     32799 (67%) were retained.  Of these,
% 132.77/132.96  ;           15 ( 0%) were simplified or subsumed later,
% 132.77/132.96  ;        32784 (100%) are still being kept.
% 132.77/132.96  ; 
% 132.77/132.96  ; Run time in seconds excluding printing time:
% 132.77/132.96  ;     0.016   0%   Read assertion file          (1 call)
% 132.77/132.96  ;     0.001   0%   Assert                       (30 calls)
% 132.77/132.96  ;     3.091   2%   Process new row              (32,800 calls)
% 132.77/132.96  ;   105.141  83%   Resolution                   (65,564 calls)
% 132.77/132.96  ;     0.160   0%   Paramodulation               (32,782 calls)
% 132.77/132.96  ;     0.000   0%   Condensing                   (28 calls)
% 132.77/132.96  ;     0.004   0%   Forward subsumption          (28 calls)
% 132.77/132.96  ;     0.002   0%   Backward subsumption         (28 calls)
% 132.77/132.96  ;     0.002   0%   Clause clause subsumption    (351 calls)
% 132.77/132.96  ;     0.579   0%   Forward simplification       (32,800 calls)
% 132.77/132.96  ;    17.190  14%   Backward simplification      (32,799 calls)
% 132.77/132.96  ;     0.000   0%   Sortal reasoning             (32 calls)
% 132.77/132.96  ;     0.000   0%   Purity testing               (1 call)
% 132.77/132.96  ;     0.372   0%   Other
% 132.77/132.96  ;   126.558        Total
% 132.77/132.96  ;   132.500        Real time
% 132.77/132.96  ; 
% 132.77/132.96  ; Term-hash-array has 32,821 terms in all.
% 132.77/132.96  ; Feature-vector-row-index has 14 entries (28 at peak, 28 added, 14 deleted).
% 132.77/132.96  ; Feature-vector-row-index has 81 nodes (167 at peak, 167 added, 86 deleted).
% 132.77/132.96  ;  Retrieved 351 possibly forward subsuming rows in 28 calls.
% 132.77/132.96  ;  Retrieved 0 possibly backward subsumed rows in 28 calls.
% 132.77/132.96  ; Path-index has 32,799 entries (32,800 at peak, 32,826 added, 27 deleted).
% 132.77/132.96  ; Path-index has 100 nodes (112 at peak, 112 added, 12 deleted).
% 132.77/132.96  ; Trie-index has 32,799 entries (32,800 at peak, 32,826 added, 27 deleted).
% 132.77/132.96  ; Trie-index has 65,801 nodes (65,802 at peak, 66,346 added, 545 deleted).
% 132.77/132.96  ; Retrieved 1 generalization term in 32,824 calls.
% 132.77/132.96  ; Retrieved 32,783 instance terms in 32,770 calls.
% 132.77/132.96  ; Retrieved 131,156 unifiable terms in 196,670 calls.
% 132.77/132.96  ; 
% 132.77/132.96  ; The agenda of input rows to give has 1 entry:
% 132.77/132.96  ;     1 with value 29
% 132.77/132.96  ; The agenda of rows to give has 1 entry:
% 132.77/132.96  ;     1 with value (4 16412)
% 132.77/132.96  Evaluation took:
% 132.77/132.96    132.501 seconds of real time
% 132.77/132.96    131.8647 seconds of user run time
% 132.77/132.96    0.63566 seconds of system run time
% 132.77/132.96    [Run times include 3.585 seconds GC run time.]
% 132.77/132.96    0 calls to %EVAL
% 132.77/132.96    0 page faults and
% 132.77/132.96    5,219,860,088 bytes consed.
% 132.77/132.96  :PROOF-FOUND
% 132.77/132.96  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T13:33:04
% 132.77/132.96  :PROOF-FOUND
% 132.77/132.96  * 
%------------------------------------------------------------------------------