TSTP Solution File: SYO525+1.027 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYO525+1.027 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 04:40:02 EDT 2023

% Result   : CounterSatisfiable 146.63s 20.33s
% Output   : Saturation 146.63s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,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/sandbox/benchmark/theBenchmark.p',start) ).

fof(f2,axiom,
    ( bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
   => goal ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',qed27) ).

fof(f3,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,n0)
     => bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,n1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p27) ).

fof(f4,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,n0,n1)
     => bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,n1,n0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p26) ).

fof(f5,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,n0,n1,n1)
     => bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,n1,n0,n0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25) ).

fof(f6,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n0,n1,n1,n1)
     => bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n1,n0,n0,n0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p24) ).

fof(f7,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n0,n1,n1,n1,n1)
     => bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n1,n0,n0,n0,n0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23) ).

fof(f8,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n0,n1,n1,n1,n1,n1)
     => bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n1,n0,n0,n0,n0,n0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22) ).

fof(f9,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,n1,n1,n1,n1,n1,n1)
     => bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,n0,n0,n0,n0,n0,n0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21) ).

fof(f10,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n1,n1,n1,n1,n1,n1)
     => bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20) ).

fof(f11,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n1,n1,n1,n1,n1,n1)
     => bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19) ).

fof(f12,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1)
     => bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18) ).

fof(f13,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
     => bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17) ).

fof(f14,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
     => bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16) ).

fof(f15,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
     => bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15) ).

fof(f16,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
     => bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14) ).

fof(f17,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
     => bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13) ).

fof(f18,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
     => bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12) ).

fof(f19,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
     => bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11) ).

fof(f20,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
     => bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10) ).

fof(f21,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
     => bin_count(X0,X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9) ).

fof(f22,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
     => bin_count(X0,X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8) ).

fof(f23,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( bin_count(X0,X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
     => bin_count(X0,X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7) ).

fof(f24,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( bin_count(X0,X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
     => bin_count(X0,X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6) ).

fof(f25,axiom,
    ! [X0,X1,X2,X3] :
      ( bin_count(X0,X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
     => bin_count(X0,X1,X2,X3,n1,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/sandbox/benchmark/theBenchmark.p',p5) ).

fof(f26,axiom,
    ! [X0,X1,X2] :
      ( bin_count(X0,X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
     => bin_count(X0,X1,X2,n1,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/sandbox/benchmark/theBenchmark.p',p4) ).

fof(f27,axiom,
    ! [X0,X1] :
      ( bin_count(X0,X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
     => bin_count(X0,X1,n1,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/sandbox/benchmark/theBenchmark.p',p3) ).

fof(f28,axiom,
    ! [X0] :
      ( bin_count(X0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
     => bin_count(X0,n1,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/sandbox/benchmark/theBenchmark.p',p2) ).

fof(f29,axiom,
    ( bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
   => bin_count(n1,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/sandbox/benchmark/theBenchmark.p',p1) ).

fof(f30,conjecture,
    goal,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_to_be_proved) ).

fof(f31,negated_conjecture,
    ~ goal,
    inference(negated_conjecture,[],[f30]) ).

fof(f32,plain,
    ~ goal,
    inference(flattening,[],[f31]) ).

fof(f33,plain,
    ( goal
    | ~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f34,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,n1)
      | ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,n0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f35,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,n1,n0)
      | ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,n0,n1) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f36,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,n1,n0,n0)
      | ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,n0,n1,n1) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f37,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n1,n0,n0,n0)
      | ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n0,n1,n1,n1) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f38,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n1,n0,n0,n0,n0)
      | ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n0,n1,n1,n1,n1) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f39,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n1,n0,n0,n0,n0,n0)
      | ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n0,n1,n1,n1,n1,n1) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f40,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,n0,n0,n0,n0,n0,n0)
      | ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,n1,n1,n1,n1,n1,n1) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f41,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0)
      | ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n1,n1,n1,n1,n1,n1) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f42,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0)
      | ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n1,n1,n1,n1,n1,n1) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f43,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
      | ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f44,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
      | ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f45,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
      | ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f46,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
      | ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f47,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
      | ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f48,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
      | ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f49,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
      | ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f50,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
      | ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f51,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
      | ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f52,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
      | ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f53,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
      | ~ bin_count(X0,X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f54,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( bin_count(X0,X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
      | ~ bin_count(X0,X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f55,plain,
    ! [X0,X1,X2,X3,X4] :
      ( bin_count(X0,X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
      | ~ bin_count(X0,X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f56,plain,
    ! [X0,X1,X2,X3] :
      ( bin_count(X0,X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
      | ~ bin_count(X0,X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f57,plain,
    ! [X0,X1,X2] :
      ( bin_count(X0,X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
      | ~ bin_count(X0,X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( bin_count(X0,X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
      | ~ bin_count(X0,X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f59,plain,
    ! [X0] :
      ( bin_count(X0,n1,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)
      | ~ bin_count(X0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f60,plain,
    ( bin_count(n1,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)
    | ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f61,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference(cnf_transformation,[],[f1]) ).

fof(f62,plain,
    ( goal
    | ~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f63,plain,
    ! [X2,X21,X0,X11,X18,X6,X9,X16,X4,X15,X22,X25,X13,X20,X3,X10,X1,X8,X19,X7,X14,X17,X24,X5,X12,X23] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,n1)
      | ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,n0) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f64,plain,
    ! [X2,X21,X0,X11,X18,X6,X9,X16,X4,X15,X22,X13,X20,X3,X10,X1,X8,X19,X7,X14,X17,X24,X5,X12,X23] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,n1,n0)
      | ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,n0,n1) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f65,plain,
    ! [X2,X21,X0,X11,X18,X6,X9,X16,X4,X15,X22,X13,X20,X3,X10,X1,X8,X19,X7,X14,X17,X5,X12,X23] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,n1,n0,n0)
      | ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,n0,n1,n1) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f66,plain,
    ! [X2,X21,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X19,X17,X15,X5,X12,X22,X13,X20] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n1,n0,n0,n0)
      | ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n0,n1,n1,n1) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f67,plain,
    ! [X2,X21,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X19,X17,X15,X5,X12,X13,X20] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n1,n0,n0,n0,n0)
      | ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n0,n1,n1,n1,n1) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f68,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X19,X17,X15,X5,X12,X13,X20] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n1,n0,n0,n0,n0,n0)
      | ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n0,n1,n1,n1,n1,n1) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f69,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X19,X17,X15,X5,X12,X13] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,n0,n0,n0,n0,n0,n0)
      | ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,n1,n1,n1,n1,n1,n1) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f70,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X17,X15,X5,X12,X13] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0)
      | ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n1,n1,n1,n1,n1,n1) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f71,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X17,X15,X5,X12,X13] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0)
      | ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n1,n1,n1,n1,n1,n1) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f72,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
      | ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f73,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
      | ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f74,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
      | ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f75,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
      | ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f76,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
      | ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f77,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
      | ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f78,plain,
    ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
      | ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f79,plain,
    ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
      | ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f80,plain,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
      | ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f81,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
      | ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f82,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( bin_count(X0,X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
      | ~ bin_count(X0,X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f83,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( bin_count(X0,X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
      | ~ bin_count(X0,X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
    inference(cnf_transformation,[],[f54]) ).

fof(f84,plain,
    ! [X2,X3,X0,X1,X4] :
      ( bin_count(X0,X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
      | ~ bin_count(X0,X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f85,plain,
    ! [X2,X3,X0,X1] :
      ( bin_count(X0,X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
      | ~ bin_count(X0,X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f86,plain,
    ! [X2,X0,X1] :
      ( bin_count(X0,X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
      | ~ bin_count(X0,X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f87,plain,
    ! [X0,X1] :
      ( bin_count(X0,X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
      | ~ bin_count(X0,X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f88,plain,
    ! [X0] :
      ( bin_count(X0,n1,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)
      | ~ bin_count(X0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f89,plain,
    ( bin_count(n1,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)
    | ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f90,plain,
    ~ goal,
    inference(cnf_transformation,[],[f32]) ).

cnf(c_49,plain,
    bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
    inference(cnf_transformation,[],[f61]) ).

cnf(c_50,plain,
    ( ~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
    | goal ),
    inference(cnf_transformation,[],[f62]) ).

cnf(c_51,plain,
    ( ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,n0)
    | bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,n1) ),
    inference(cnf_transformation,[],[f63]) ).

cnf(c_52,plain,
    ( ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,n0,n1)
    | bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,n1,n0) ),
    inference(cnf_transformation,[],[f64]) ).

cnf(c_53,plain,
    ( ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,n0,n1,n1)
    | bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,n1,n0,n0) ),
    inference(cnf_transformation,[],[f65]) ).

cnf(c_54,plain,
    ( ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n0,n1,n1,n1)
    | bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n1,n0,n0,n0) ),
    inference(cnf_transformation,[],[f66]) ).

cnf(c_55,plain,
    ( ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n0,n1,n1,n1,n1)
    | bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n1,n0,n0,n0,n0) ),
    inference(cnf_transformation,[],[f67]) ).

cnf(c_56,plain,
    ( ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n0,n1,n1,n1,n1,n1)
    | bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n1,n0,n0,n0,n0,n0) ),
    inference(cnf_transformation,[],[f68]) ).

cnf(c_57,plain,
    ( ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,n1,n1,n1,n1,n1,n1)
    | bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,n0,n0,n0,n0,n0,n0) ),
    inference(cnf_transformation,[],[f69]) ).

cnf(c_58,plain,
    ( ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n1,n1,n1,n1,n1,n1)
    | bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0) ),
    inference(cnf_transformation,[],[f70]) ).

cnf(c_59,plain,
    ( ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n1,n1,n1,n1,n1,n1)
    | bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
    inference(cnf_transformation,[],[f71]) ).

cnf(c_60,plain,
    ( ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1)
    | bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    inference(cnf_transformation,[],[f72]) ).

cnf(c_61,plain,
    ( ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
    | bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    inference(cnf_transformation,[],[f73]) ).

cnf(c_62,plain,
    ( ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
    | bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    inference(cnf_transformation,[],[f74]) ).

cnf(c_63,plain,
    ( ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
    | bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    inference(cnf_transformation,[],[f75]) ).

cnf(c_64,plain,
    ( ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
    | bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    inference(cnf_transformation,[],[f76]) ).

cnf(c_65,plain,
    ( ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
    | bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    inference(cnf_transformation,[],[f77]) ).

cnf(c_66,plain,
    ( ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
    | bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    inference(cnf_transformation,[],[f78]) ).

cnf(c_67,plain,
    ( ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
    | bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    inference(cnf_transformation,[],[f79]) ).

cnf(c_68,plain,
    ( ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
    | bin_count(X0,X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    inference(cnf_transformation,[],[f80]) ).

cnf(c_69,plain,
    ( ~ bin_count(X0,X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
    | bin_count(X0,X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    inference(cnf_transformation,[],[f81]) ).

cnf(c_70,plain,
    ( ~ bin_count(X0,X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
    | bin_count(X0,X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    inference(cnf_transformation,[],[f82]) ).

cnf(c_71,plain,
    ( ~ bin_count(X0,X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
    | bin_count(X0,X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    inference(cnf_transformation,[],[f83]) ).

cnf(c_72,plain,
    ( ~ bin_count(X0,X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
    | bin_count(X0,X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    inference(cnf_transformation,[],[f84]) ).

cnf(c_73,plain,
    ( ~ bin_count(X0,X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
    | bin_count(X0,X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    inference(cnf_transformation,[],[f85]) ).

cnf(c_74,plain,
    ( ~ bin_count(X0,X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
    | bin_count(X0,X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    inference(cnf_transformation,[],[f86]) ).

cnf(c_75,plain,
    ( ~ bin_count(X0,X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
    | bin_count(X0,X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
    inference(cnf_transformation,[],[f87]) ).

cnf(c_76,plain,
    ( ~ bin_count(X0,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
    | bin_count(X0,n1,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) ),
    inference(cnf_transformation,[],[f88]) ).

cnf(c_77,plain,
    ( ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
    | bin_count(n1,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) ),
    inference(cnf_transformation,[],[f89]) ).

cnf(c_78,negated_conjecture,
    ~ goal,
    inference(cnf_transformation,[],[f90]) ).

cnf(c_105,plain,
    ~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1),
    inference(global_subsumption_just,[status(thm)],[c_50,c_78,c_50]) ).

cnf(c_334,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(superposition,[status(thm)],[c_49,c_51]) ).

cnf(c_336,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(superposition,[status(thm)],[c_334,c_52]) ).

cnf(c_338,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(superposition,[status(thm)],[c_336,c_51]) ).

cnf(c_340,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(superposition,[status(thm)],[c_338,c_53]) ).

cnf(c_342,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(superposition,[status(thm)],[c_340,c_51]) ).

cnf(c_344,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(superposition,[status(thm)],[c_342,c_52]) ).

cnf(c_346,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(superposition,[status(thm)],[c_344,c_51]) ).

cnf(c_348,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(superposition,[status(thm)],[c_346,c_54]) ).

cnf(c_350,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(superposition,[status(thm)],[c_348,c_51]) ).

cnf(c_352,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(superposition,[status(thm)],[c_350,c_52]) ).

cnf(c_354,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(superposition,[status(thm)],[c_352,c_51]) ).

cnf(c_356,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(superposition,[status(thm)],[c_354,c_53]) ).

cnf(c_358,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(superposition,[status(thm)],[c_356,c_51]) ).

cnf(c_360,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(superposition,[status(thm)],[c_358,c_52]) ).

cnf(c_362,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(superposition,[status(thm)],[c_360,c_51]) ).

cnf(c_364,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(superposition,[status(thm)],[c_362,c_55]) ).

cnf(c_366,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(superposition,[status(thm)],[c_364,c_51]) ).

cnf(c_368,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(superposition,[status(thm)],[c_366,c_52]) ).

cnf(c_370,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(superposition,[status(thm)],[c_368,c_51]) ).

cnf(c_372,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(superposition,[status(thm)],[c_370,c_53]) ).

cnf(c_374,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(superposition,[status(thm)],[c_372,c_51]) ).

cnf(c_376,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(superposition,[status(thm)],[c_374,c_52]) ).

cnf(c_378,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(superposition,[status(thm)],[c_376,c_51]) ).

cnf(c_380,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(superposition,[status(thm)],[c_378,c_54]) ).

cnf(c_382,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(superposition,[status(thm)],[c_380,c_51]) ).

cnf(c_384,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(superposition,[status(thm)],[c_382,c_52]) ).

cnf(c_386,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(superposition,[status(thm)],[c_384,c_51]) ).

cnf(c_388,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(superposition,[status(thm)],[c_386,c_53]) ).

cnf(c_390,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(superposition,[status(thm)],[c_388,c_51]) ).

cnf(c_392,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(superposition,[status(thm)],[c_390,c_52]) ).

cnf(c_394,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(superposition,[status(thm)],[c_392,c_51]) ).

cnf(c_396,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(superposition,[status(thm)],[c_394,c_56]) ).

cnf(c_398,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(superposition,[status(thm)],[c_396,c_51]) ).

cnf(c_400,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(superposition,[status(thm)],[c_398,c_52]) ).

cnf(c_402,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(superposition,[status(thm)],[c_400,c_51]) ).

cnf(c_404,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(superposition,[status(thm)],[c_402,c_53]) ).

cnf(c_406,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(superposition,[status(thm)],[c_404,c_51]) ).

cnf(c_408,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(superposition,[status(thm)],[c_406,c_52]) ).

cnf(c_410,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(superposition,[status(thm)],[c_408,c_51]) ).

cnf(c_412,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(superposition,[status(thm)],[c_410,c_54]) ).

cnf(c_414,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(superposition,[status(thm)],[c_412,c_51]) ).

cnf(c_416,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(superposition,[status(thm)],[c_414,c_52]) ).

cnf(c_418,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(superposition,[status(thm)],[c_416,c_51]) ).

cnf(c_420,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(superposition,[status(thm)],[c_418,c_53]) ).

cnf(c_422,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(superposition,[status(thm)],[c_420,c_51]) ).

cnf(c_424,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(superposition,[status(thm)],[c_422,c_52]) ).

cnf(c_426,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(superposition,[status(thm)],[c_424,c_51]) ).

cnf(c_428,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(superposition,[status(thm)],[c_426,c_55]) ).

cnf(c_430,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(superposition,[status(thm)],[c_428,c_51]) ).

cnf(c_432,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(superposition,[status(thm)],[c_430,c_52]) ).

cnf(c_434,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(superposition,[status(thm)],[c_432,c_51]) ).

cnf(c_482,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(superposition,[status(thm)],[c_434,c_53]) ).

cnf(c_484,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(superposition,[status(thm)],[c_482,c_51]) ).

cnf(c_486,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(superposition,[status(thm)],[c_484,c_52]) ).

cnf(c_488,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(superposition,[status(thm)],[c_486,c_51]) ).

cnf(c_490,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(superposition,[status(thm)],[c_488,c_54]) ).

cnf(c_492,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(superposition,[status(thm)],[c_490,c_51]) ).

cnf(c_494,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(superposition,[status(thm)],[c_492,c_52]) ).

cnf(c_496,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(superposition,[status(thm)],[c_494,c_51]) ).

cnf(c_497,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(superposition,[status(thm)],[c_496,c_53]) ).

cnf(c_581,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(superposition,[status(thm)],[c_497,c_51]) ).

cnf(c_609,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(superposition,[status(thm)],[c_581,c_52]) ).

cnf(c_675,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(superposition,[status(thm)],[c_609,c_51]) ).

cnf(c_763,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(superposition,[status(thm)],[c_675,c_57]) ).

cnf(c_821,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(superposition,[status(thm)],[c_763,c_51]) ).

cnf(c_879,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(superposition,[status(thm)],[c_821,c_52]) ).

cnf(c_940,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(superposition,[status(thm)],[c_879,c_51]) ).

cnf(c_1244,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(superposition,[status(thm)],[c_940,c_53]) ).

cnf(c_1305,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(superposition,[status(thm)],[c_1244,c_51]) ).

cnf(c_1367,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(superposition,[status(thm)],[c_1305,c_52]) ).

cnf(c_1458,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(superposition,[status(thm)],[c_1367,c_51]) ).

cnf(c_1529,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(superposition,[status(thm)],[c_1458,c_54]) ).

cnf(c_1590,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(superposition,[status(thm)],[c_1529,c_51]) ).

cnf(c_1671,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(superposition,[status(thm)],[c_1590,c_52]) ).

cnf(c_1730,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(superposition,[status(thm)],[c_1671,c_51]) ).

cnf(c_1791,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(superposition,[status(thm)],[c_1730,c_53]) ).

cnf(c_1867,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(superposition,[status(thm)],[c_1791,c_51]) ).

cnf(c_1927,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(superposition,[status(thm)],[c_1867,c_52]) ).

cnf(c_1988,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(superposition,[status(thm)],[c_1927,c_51]) ).

cnf(c_2055,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(superposition,[status(thm)],[c_1988,c_55]) ).

cnf(c_2126,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(superposition,[status(thm)],[c_2055,c_51]) ).

cnf(c_2195,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(superposition,[status(thm)],[c_2126,c_52]) ).

cnf(c_2266,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(superposition,[status(thm)],[c_2195,c_51]) ).

cnf(c_2335,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(superposition,[status(thm)],[c_2266,c_53]) ).

cnf(c_2406,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(superposition,[status(thm)],[c_2335,c_51]) ).

cnf(c_2477,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(superposition,[status(thm)],[c_2406,c_52]) ).

cnf(c_2537,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(superposition,[status(thm)],[c_2477,c_51]) ).

cnf(c_2598,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(superposition,[status(thm)],[c_2537,c_54]) ).

cnf(c_3417,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(superposition,[status(thm)],[c_2598,c_51]) ).

cnf(c_3495,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(superposition,[status(thm)],[c_3417,c_52]) ).

cnf(c_3561,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(superposition,[status(thm)],[c_3495,c_51]) ).

cnf(c_3625,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(superposition,[status(thm)],[c_3561,c_53]) ).

cnf(c_3685,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(superposition,[status(thm)],[c_3625,c_51]) ).

cnf(c_3747,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(superposition,[status(thm)],[c_3685,c_52]) ).

cnf(c_3763,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(superposition,[status(thm)],[c_3747,c_51]) ).

cnf(c_3874,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(superposition,[status(thm)],[c_3763,c_56]) ).

cnf(c_3938,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(superposition,[status(thm)],[c_3874,c_51]) ).

cnf(c_4007,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(superposition,[status(thm)],[c_3938,c_52]) ).

cnf(c_4079,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(superposition,[status(thm)],[c_4007,c_51]) ).

cnf(c_4155,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(superposition,[status(thm)],[c_4079,c_53]) ).

cnf(c_4227,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(superposition,[status(thm)],[c_4155,c_51]) ).

cnf(c_4301,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(superposition,[status(thm)],[c_4227,c_52]) ).

cnf(c_4373,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(superposition,[status(thm)],[c_4301,c_51]) ).

cnf(c_4443,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(superposition,[status(thm)],[c_4373,c_54]) ).

cnf(c_4521,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(superposition,[status(thm)],[c_4443,c_51]) ).

cnf(c_4595,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(superposition,[status(thm)],[c_4521,c_52]) ).

cnf(c_4681,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(superposition,[status(thm)],[c_4595,c_51]) ).

cnf(c_4758,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(superposition,[status(thm)],[c_4681,c_53]) ).

cnf(c_4830,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(superposition,[status(thm)],[c_4758,c_51]) ).

cnf(c_4906,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(superposition,[status(thm)],[c_4830,c_52]) ).

cnf(c_4978,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(superposition,[status(thm)],[c_4906,c_51]) ).

cnf(c_5050,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(superposition,[status(thm)],[c_4978,c_55]) ).

cnf(c_5112,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(superposition,[status(thm)],[c_5050,c_51]) ).

cnf(c_5174,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(superposition,[status(thm)],[c_5112,c_52]) ).

cnf(c_5249,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(superposition,[status(thm)],[c_5174,c_51]) ).

cnf(c_5321,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(superposition,[status(thm)],[c_5249,c_53]) ).

cnf(c_5394,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(superposition,[status(thm)],[c_5321,c_51]) ).

cnf(c_5466,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(superposition,[status(thm)],[c_5394,c_52]) ).

cnf(c_5536,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(superposition,[status(thm)],[c_5466,c_51]) ).

cnf(c_5614,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(superposition,[status(thm)],[c_5536,c_54]) ).

cnf(c_5678,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(superposition,[status(thm)],[c_5614,c_51]) ).

cnf(c_5742,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(superposition,[status(thm)],[c_5678,c_52]) ).

cnf(c_5807,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(superposition,[status(thm)],[c_5742,c_51]) ).

cnf(c_5879,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(superposition,[status(thm)],[c_5807,c_53]) ).

cnf(c_5951,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(superposition,[status(thm)],[c_5879,c_51]) ).

cnf(c_6013,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(superposition,[status(thm)],[c_5951,c_52]) ).

cnf(c_6075,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(superposition,[status(thm)],[c_6013,c_51]) ).

cnf(c_6137,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(superposition,[status(thm)],[c_6075,c_58]) ).

cnf(c_6198,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(superposition,[status(thm)],[c_6137,c_51]) ).

cnf(c_6264,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(superposition,[status(thm)],[c_6198,c_52]) ).

cnf(c_6326,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(superposition,[status(thm)],[c_6264,c_51]) ).

cnf(c_6400,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(superposition,[status(thm)],[c_6326,c_53]) ).

cnf(c_6471,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(superposition,[status(thm)],[c_6400,c_51]) ).

cnf(c_6542,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(superposition,[status(thm)],[c_6471,c_52]) ).

cnf(c_6617,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(superposition,[status(thm)],[c_6542,c_51]) ).

cnf(c_6690,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(superposition,[status(thm)],[c_6617,c_54]) ).

cnf(c_6762,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(superposition,[status(thm)],[c_6690,c_51]) ).

cnf(c_6835,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(superposition,[status(thm)],[c_6762,c_52]) ).

cnf(c_6907,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(superposition,[status(thm)],[c_6835,c_51]) ).

cnf(c_6994,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(superposition,[status(thm)],[c_6907,c_53]) ).

cnf(c_7076,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(superposition,[status(thm)],[c_6994,c_51]) ).

cnf(c_7149,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(superposition,[status(thm)],[c_7076,c_52]) ).

cnf(c_7221,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(superposition,[status(thm)],[c_7149,c_51]) ).

cnf(c_7291,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(superposition,[status(thm)],[c_7221,c_55]) ).

cnf(c_7369,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(superposition,[status(thm)],[c_7291,c_51]) ).

cnf(c_7439,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(superposition,[status(thm)],[c_7369,c_52]) ).

cnf(c_7514,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(superposition,[status(thm)],[c_7439,c_51]) ).

cnf(c_7594,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(superposition,[status(thm)],[c_7514,c_53]) ).

cnf(c_8232,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(superposition,[status(thm)],[c_7594,c_51]) ).

cnf(c_10084,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(superposition,[status(thm)],[c_8232,c_52]) ).

cnf(c_10171,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(superposition,[status(thm)],[c_10084,c_51]) ).

cnf(c_10259,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(superposition,[status(thm)],[c_10171,c_54]) ).

cnf(c_10342,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(superposition,[status(thm)],[c_10259,c_51]) ).

cnf(c_10416,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(superposition,[status(thm)],[c_10342,c_52]) ).

cnf(c_10495,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(superposition,[status(thm)],[c_10416,c_51]) ).

cnf(c_10581,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(superposition,[status(thm)],[c_10495,c_53]) ).

cnf(c_10667,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(superposition,[status(thm)],[c_10581,c_51]) ).

cnf(c_10743,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(superposition,[status(thm)],[c_10667,c_52]) ).

cnf(c_10814,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(superposition,[status(thm)],[c_10743,c_51]) ).

cnf(c_10893,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(superposition,[status(thm)],[c_10814,c_56]) ).

cnf(c_10964,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(superposition,[status(thm)],[c_10893,c_51]) ).

cnf(c_11032,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(superposition,[status(thm)],[c_10964,c_52]) ).

cnf(c_11099,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(superposition,[status(thm)],[c_11032,c_51]) ).

cnf(c_11172,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(superposition,[status(thm)],[c_11099,c_53]) ).

cnf(c_11249,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(superposition,[status(thm)],[c_11172,c_51]) ).

cnf(c_11325,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(superposition,[status(thm)],[c_11249,c_52]) ).

cnf(c_11402,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(superposition,[status(thm)],[c_11325,c_51]) ).

cnf(c_11478,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(superposition,[status(thm)],[c_11402,c_54]) ).

cnf(c_11549,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(superposition,[status(thm)],[c_11478,c_51]) ).

cnf(c_11628,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(superposition,[status(thm)],[c_11549,c_52]) ).

cnf(c_11708,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(superposition,[status(thm)],[c_11628,c_51]) ).

cnf(c_11798,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(superposition,[status(thm)],[c_11708,c_53]) ).

cnf(c_11876,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(superposition,[status(thm)],[c_11798,c_51]) ).

cnf(c_11891,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(superposition,[status(thm)],[c_11876,c_52]) ).

cnf(c_12026,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(superposition,[status(thm)],[c_11891,c_51]) ).

cnf(c_12102,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(superposition,[status(thm)],[c_12026,c_55]) ).

cnf(c_12171,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(superposition,[status(thm)],[c_12102,c_51]) ).

cnf(c_12236,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(superposition,[status(thm)],[c_12171,c_52]) ).

cnf(c_12305,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(superposition,[status(thm)],[c_12236,c_51]) ).

cnf(c_12384,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(superposition,[status(thm)],[c_12305,c_53]) ).

cnf(c_12458,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(superposition,[status(thm)],[c_12384,c_51]) ).

cnf(c_12537,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(superposition,[status(thm)],[c_12458,c_52]) ).

cnf(c_12611,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(superposition,[status(thm)],[c_12537,c_51]) ).

cnf(c_12684,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(superposition,[status(thm)],[c_12611,c_54]) ).

cnf(c_12751,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(superposition,[status(thm)],[c_12684,c_51]) ).

cnf(c_12817,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(superposition,[status(thm)],[c_12751,c_52]) ).

cnf(c_12894,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(superposition,[status(thm)],[c_12817,c_51]) ).

cnf(c_12967,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(superposition,[status(thm)],[c_12894,c_53]) ).

cnf(c_13030,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(superposition,[status(thm)],[c_12967,c_51]) ).

cnf(c_13097,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(superposition,[status(thm)],[c_13030,c_52]) ).

cnf(c_13161,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(superposition,[status(thm)],[c_13097,c_51]) ).

cnf(c_13227,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(superposition,[status(thm)],[c_13161,c_57]) ).

cnf(c_13292,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(superposition,[status(thm)],[c_13227,c_51]) ).

cnf(c_13356,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(superposition,[status(thm)],[c_13292,c_52]) ).

cnf(c_13435,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(superposition,[status(thm)],[c_13356,c_51]) ).

cnf(c_13509,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(superposition,[status(thm)],[c_13435,c_53]) ).

cnf(c_13588,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(superposition,[status(thm)],[c_13509,c_51]) ).

cnf(c_13662,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(superposition,[status(thm)],[c_13588,c_52]) ).

cnf(c_13735,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(superposition,[status(thm)],[c_13662,c_51]) ).

cnf(c_13812,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(superposition,[status(thm)],[c_13735,c_54]) ).

cnf(c_13888,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(superposition,[status(thm)],[c_13812,c_51]) ).

cnf(c_13975,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(superposition,[status(thm)],[c_13888,c_52]) ).

cnf(c_14058,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(superposition,[status(thm)],[c_13975,c_51]) ).

cnf(c_14132,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(superposition,[status(thm)],[c_14058,c_53]) ).

cnf(c_14209,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(superposition,[status(thm)],[c_14132,c_51]) ).

cnf(c_14285,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(superposition,[status(thm)],[c_14209,c_52]) ).

cnf(c_14362,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(superposition,[status(thm)],[c_14285,c_51]) ).

cnf(c_14438,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(superposition,[status(thm)],[c_14362,c_55]) ).

cnf(c_14514,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(superposition,[status(thm)],[c_14438,c_51]) ).

cnf(c_14604,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(superposition,[status(thm)],[c_14514,c_52]) ).

cnf(c_14689,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(superposition,[status(thm)],[c_14604,c_51]) ).

cnf(c_14779,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(superposition,[status(thm)],[c_14689,c_53]) ).

cnf(c_14864,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(superposition,[status(thm)],[c_14779,c_51]) ).

cnf(c_14947,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(superposition,[status(thm)],[c_14864,c_52]) ).

cnf(c_15025,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(superposition,[status(thm)],[c_14947,c_51]) ).

cnf(c_15101,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(superposition,[status(thm)],[c_15025,c_54]) ).

cnf(c_15190,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(superposition,[status(thm)],[c_15101,c_51]) ).

cnf(c_15272,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(superposition,[status(thm)],[c_15190,c_52]) ).

cnf(c_15345,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(superposition,[status(thm)],[c_15272,c_51]) ).

cnf(c_15422,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(superposition,[status(thm)],[c_15345,c_53]) ).

cnf(c_15498,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(superposition,[status(thm)],[c_15422,c_51]) ).

cnf(c_15575,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(superposition,[status(thm)],[c_15498,c_52]) ).

cnf(c_15651,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(superposition,[status(thm)],[c_15575,c_51]) ).

cnf(c_15729,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(superposition,[status(thm)],[c_15651,c_56]) ).

cnf(c_15819,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(superposition,[status(thm)],[c_15729,c_51]) ).

cnf(c_15904,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(superposition,[status(thm)],[c_15819,c_52]) ).

cnf(c_15964,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(superposition,[status(thm)],[c_15904,c_51]) ).

cnf(c_16079,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(superposition,[status(thm)],[c_15964,c_53]) ).

cnf(c_16161,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(superposition,[status(thm)],[c_16079,c_51]) ).

cnf(c_16250,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(superposition,[status(thm)],[c_16161,c_52]) ).

cnf(c_16338,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(superposition,[status(thm)],[c_16250,c_51]) ).

cnf(c_16439,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(superposition,[status(thm)],[c_16338,c_54]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO525+1.027 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n013.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sat Aug 26 07:30:02 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  Running first-order theorem proving
% 0.20/0.46  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 146.63/20.33  % SZS status Started for theBenchmark.p
% 146.63/20.33  % SZS status CounterSatisfiable for theBenchmark.p
% 146.63/20.33  
% 146.63/20.33  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 146.63/20.33  
% 146.63/20.33  ------  iProver source info
% 146.63/20.33  
% 146.63/20.33  git: date: 2023-05-31 18:12:56 +0000
% 146.63/20.33  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 146.63/20.33  git: non_committed_changes: false
% 146.63/20.33  git: last_make_outside_of_git: false
% 146.63/20.33  
% 146.63/20.33  ------ Parsing...
% 146.63/20.33  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 146.63/20.33  
% 146.63/20.33  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 146.63/20.33  
% 146.63/20.33  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 146.63/20.33  ------ Proving...
% 146.63/20.33  ------ Problem Properties 
% 146.63/20.33  
% 146.63/20.33  
% 146.63/20.33  clauses                                 29
% 146.63/20.33  conjectures                             0
% 146.63/20.33  EPR                                     29
% 146.63/20.33  Horn                                    29
% 146.63/20.33  unary                                   2
% 146.63/20.33  binary                                  27
% 146.63/20.33  lits                                    56
% 146.63/20.33  lits eq                                 0
% 146.63/20.33  fd_pure                                 0
% 146.63/20.33  fd_pseudo                               0
% 146.63/20.33  fd_cond                                 0
% 146.63/20.33  fd_pseudo_cond                          0
% 146.63/20.33  AC symbols                              0
% 146.63/20.33  
% 146.63/20.33  ------ Input Options Time Limit: Unbounded
% 146.63/20.33  
% 146.63/20.33  
% 146.63/20.33  ------ 
% 146.63/20.33  Current options:
% 146.63/20.33  ------ 
% 146.63/20.33  
% 146.63/20.33  
% 146.63/20.33  
% 146.63/20.33  
% 146.63/20.33  ------ Proving...
% 146.63/20.33  
% 146.63/20.33  
% 146.63/20.33  % SZS status CounterSatisfiable for theBenchmark.p
% 146.63/20.33  
% 146.63/20.33  % SZS output start Saturation for theBenchmark.p
% See solution above
% 146.63/20.33  
% 146.63/20.34  
%------------------------------------------------------------------------------