TSTP Solution File: SYO525+1.021 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYO525+1.021 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n020.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 142.68s 19.86s
% Output   : Saturation 142.68s
% 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,
    ! [X0,X1,X2,X3,X4,X5] :
      ( bin_count(X0,X1,X2,X3,X4,X5,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',qed21) ).

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(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,
    ! [X0,X1,X2,X3,X4,X5] :
      ( goal
      | ~ bin_count(X0,X1,X2,X3,X4,X5,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(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,
    ! [X2,X3,X0,X1,X4,X5] :
      ( goal
      | ~ bin_count(X0,X1,X2,X3,X4,X5,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(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(X0,X1,X2,X3,X4,X5,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_78,negated_conjecture,
    ~ goal,
    inference(cnf_transformation,[],[f90]) ).

cnf(c_106,plain,
    ~ bin_count(X0,X1,X2,X3,X4,X5,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_288,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_290,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_288,c_52]) ).

cnf(c_292,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_290,c_51]) ).

cnf(c_294,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_292,c_53]) ).

cnf(c_296,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_294,c_51]) ).

cnf(c_298,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_296,c_52]) ).

cnf(c_300,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_298,c_51]) ).

cnf(c_302,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_300,c_54]) ).

cnf(c_304,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_302,c_51]) ).

cnf(c_306,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_304,c_52]) ).

cnf(c_308,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_306,c_51]) ).

cnf(c_310,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_308,c_53]) ).

cnf(c_312,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_310,c_51]) ).

cnf(c_314,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_312,c_52]) ).

cnf(c_316,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_314,c_51]) ).

cnf(c_318,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_316,c_55]) ).

cnf(c_320,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_318,c_51]) ).

cnf(c_322,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_320,c_52]) ).

cnf(c_324,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_322,c_51]) ).

cnf(c_326,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_324,c_53]) ).

cnf(c_328,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_326,c_51]) ).

cnf(c_330,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_328,c_52]) ).

cnf(c_332,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_330,c_51]) ).

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,n1,n1,n0,n0,n0),
    inference(superposition,[status(thm)],[c_332,c_54]) ).

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,n1,n1,n0,n0,n1),
    inference(superposition,[status(thm)],[c_334,c_51]) ).

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,n1,n1,n0,n1,n0),
    inference(superposition,[status(thm)],[c_336,c_52]) ).

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,n1,n1,n0,n1,n1),
    inference(superposition,[status(thm)],[c_338,c_51]) ).

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,n1,n1,n1,n0,n0),
    inference(superposition,[status(thm)],[c_340,c_53]) ).

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,n1,n1,n1,n0,n1),
    inference(superposition,[status(thm)],[c_342,c_51]) ).

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,n1,n1,n1,n1,n0),
    inference(superposition,[status(thm)],[c_344,c_52]) ).

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,n1,n1,n1,n1,n1),
    inference(superposition,[status(thm)],[c_346,c_51]) ).

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,n1,n0,n0,n0,n0,n0),
    inference(superposition,[status(thm)],[c_348,c_56]) ).

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,n1,n0,n0,n0,n0,n1),
    inference(superposition,[status(thm)],[c_350,c_51]) ).

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,n1,n0,n0,n0,n1,n0),
    inference(superposition,[status(thm)],[c_352,c_52]) ).

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,n1,n0,n0,n0,n1,n1),
    inference(superposition,[status(thm)],[c_354,c_51]) ).

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,n1,n0,n0,n1,n0,n0),
    inference(superposition,[status(thm)],[c_356,c_53]) ).

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,n1,n0,n0,n1,n0,n1),
    inference(superposition,[status(thm)],[c_358,c_51]) ).

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,n1,n0,n0,n1,n1,n0),
    inference(superposition,[status(thm)],[c_360,c_52]) ).

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,n1,n0,n0,n1,n1,n1),
    inference(superposition,[status(thm)],[c_362,c_51]) ).

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,n1,n0,n1,n0,n0,n0),
    inference(superposition,[status(thm)],[c_364,c_54]) ).

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,n1,n0,n1,n0,n0,n1),
    inference(superposition,[status(thm)],[c_366,c_51]) ).

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,n1,n0,n1,n0),
    inference(superposition,[status(thm)],[c_368,c_52]) ).

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,n1,n1),
    inference(superposition,[status(thm)],[c_410,c_51]) ).

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,n1,n0,n0),
    inference(superposition,[status(thm)],[c_412,c_53]) ).

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,n1,n0,n1),
    inference(superposition,[status(thm)],[c_414,c_51]) ).

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,n1,n1,n0),
    inference(superposition,[status(thm)],[c_416,c_52]) ).

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,n1,n1),
    inference(superposition,[status(thm)],[c_418,c_51]) ).

cnf(c_421,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_420,c_55]) ).

cnf(c_487,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_421,c_51]) ).

cnf(c_507,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_487,c_52]) ).

cnf(c_562,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_507,c_51]) ).

cnf(c_617,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_562,c_53]) ).

cnf(c_683,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_617,c_51]) ).

cnf(c_734,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_683,c_52]) ).

cnf(c_783,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_734,c_51]) ).

cnf(c_1011,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_783,c_54]) ).

cnf(c_1083,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_1011,c_51]) ).

cnf(c_1134,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_1083,c_52]) ).

cnf(c_1194,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_1134,c_51]) ).

cnf(c_1247,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_1194,c_53]) ).

cnf(c_1320,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_1247,c_51]) ).

cnf(c_1372,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_1320,c_52]) ).

cnf(c_1421,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_1372,c_51]) ).

cnf(c_1473,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_1421,c_57]) ).

cnf(c_1530,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_1473,c_51]) ).

cnf(c_1582,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_1530,c_52]) ).

cnf(c_1634,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_1582,c_51]) ).

cnf(c_1690,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_1634,c_53]) ).

cnf(c_1750,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_1690,c_51]) ).

cnf(c_1802,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_1750,c_52]) ).

cnf(c_1862,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_1802,c_51]) ).

cnf(c_1921,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_1862,c_54]) ).

cnf(c_1978,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_1921,c_51]) ).

cnf(c_2035,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_1978,c_52]) ).

cnf(c_2081,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_2035,c_51]) ).

cnf(c_2133,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_2081,c_53]) ).

cnf(c_2192,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_2133,c_51]) ).

cnf(c_2847,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_2192,c_52]) ).

cnf(c_2901,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_2847,c_51]) ).

cnf(c_2954,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_2901,c_55]) ).

cnf(c_3006,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_2954,c_51]) ).

cnf(c_3059,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_3006,c_52]) ).

cnf(c_3111,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_3059,c_51]) ).

cnf(c_3164,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_3111,c_53]) ).

cnf(c_3220,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_3164,c_51]) ).

cnf(c_3281,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_3220,c_52]) ).

cnf(c_3341,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_3281,c_51]) ).

cnf(c_3402,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_3341,c_54]) ).

cnf(c_3462,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_3402,c_51]) ).

cnf(c_3523,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_3462,c_52]) ).

cnf(c_3584,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_3523,c_51]) ).

cnf(c_3645,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_3584,c_53]) ).

cnf(c_3709,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_3645,c_51]) ).

cnf(c_3778,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_3709,c_52]) ).

cnf(c_3842,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_3778,c_51]) ).

cnf(c_3903,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_3842,c_56]) ).

cnf(c_3963,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_3903,c_51]) ).

cnf(c_4024,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_3963,c_52]) ).

cnf(c_4080,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_4024,c_51]) ).

cnf(c_4133,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_4080,c_53]) ).

cnf(c_4189,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_4133,c_51]) ).

cnf(c_4250,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_4189,c_52]) ).

cnf(c_4310,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_4250,c_51]) ).

cnf(c_4371,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_4310,c_54]) ).

cnf(c_4403,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_4371,c_51]) ).

cnf(c_4492,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_4403,c_52]) ).

cnf(c_4548,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_4492,c_51]) ).

cnf(c_4601,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_4548,c_53]) ).

cnf(c_4657,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_4601,c_51]) ).

cnf(c_4718,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_4657,c_52]) ).

cnf(c_4774,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_4718,c_51]) ).

cnf(c_4827,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_4774,c_55]) ).

cnf(c_4879,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_4827,c_51]) ).

cnf(c_4932,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_4879,c_52]) ).

cnf(c_4984,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_4932,c_51]) ).

cnf(c_5037,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_4984,c_53]) ).

cnf(c_5094,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_5037,c_51]) ).

cnf(c_5155,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_5094,c_52]) ).

cnf(c_5215,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_5155,c_51]) ).

cnf(c_5276,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_5215,c_54]) ).

cnf(c_5336,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_5276,c_51]) ).

cnf(c_5397,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_5336,c_52]) ).

cnf(c_5457,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_5397,c_51]) ).

cnf(c_5518,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_5457,c_53]) ).

cnf(c_5587,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_5518,c_51]) ).

cnf(c_5653,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_5587,c_52]) ).

cnf(c_5714,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_5653,c_51]) ).

cnf(c_5774,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_5714,c_58]) ).

cnf(c_5835,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_5774,c_51]) ).

cnf(c_5895,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_5835,c_52]) ).

cnf(c_5956,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_5895,c_51]) ).

cnf(c_6021,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_5956,c_53]) ).

cnf(c_6090,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_6021,c_51]) ).

cnf(c_6158,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_6090,c_52]) ).

cnf(c_6227,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_6158,c_51]) ).

cnf(c_6295,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_6227,c_54]) ).

cnf(c_6364,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_6295,c_51]) ).

cnf(c_6424,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_6364,c_52]) ).

cnf(c_6485,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_6424,c_51]) ).

cnf(c_8151,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_6485,c_53]) ).

cnf(c_8464,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_8151,c_51]) ).

cnf(c_8526,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_8464,c_52]) ).

cnf(c_8587,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_8526,c_51]) ).

cnf(c_8656,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_8587,c_55]) ).

cnf(c_8711,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_8656,c_51]) ).

cnf(c_8767,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_8711,c_52]) ).

cnf(c_8828,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_8767,c_51]) ).

cnf(c_8889,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_8828,c_53]) ).

cnf(c_8958,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_8889,c_51]) ).

cnf(c_9019,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_8958,c_52]) ).

cnf(c_9084,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_9019,c_51]) ).

cnf(c_9145,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_9084,c_54]) ).

cnf(c_9207,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_9145,c_51]) ).

cnf(c_9282,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_9207,c_52]) ).

cnf(c_9352,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_9282,c_51]) ).

cnf(c_9416,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_9352,c_53]) ).

cnf(c_9477,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_9416,c_51]) ).

cnf(c_9539,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_9477,c_52]) ).

cnf(c_9603,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_9539,c_51]) ).

cnf(c_9657,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_9603,c_56]) ).

cnf(c_9718,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_9657,c_51]) ).

cnf(c_9780,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_9718,c_52]) ).

cnf(c_9841,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_9780,c_51]) ).

cnf(c_9907,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_9841,c_53]) ).

cnf(c_9971,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_9907,c_51]) ).

cnf(c_10032,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_9971,c_52]) ).

cnf(c_10086,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_10032,c_51]) ).

cnf(c_10143,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_10086,c_54]) ).

cnf(c_10212,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_10143,c_51]) ).

cnf(c_10267,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_10212,c_52]) ).

cnf(c_10323,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_10267,c_51]) ).

cnf(c_10376,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_10323,c_53]) ).

cnf(c_10429,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_10376,c_51]) ).

cnf(c_10489,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_10429,c_52]) ).

cnf(c_10546,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_10489,c_51]) ).

cnf(c_10611,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_10546,c_55]) ).

cnf(c_10672,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_10611,c_51]) ).

cnf(c_10734,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_10672,c_52]) ).

cnf(c_10803,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_10734,c_51]) ).

cnf(c_10864,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_10803,c_53]) ).

cnf(c_10929,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_10864,c_51]) ).

cnf(c_10997,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_10929,c_52]) ).

cnf(c_11065,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_10997,c_51]) ).

cnf(c_11134,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_11065,c_54]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYO525+1.021 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.14  % Command  : run_iprover %s %d THM
% 0.17/0.35  % Computer : n020.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Sat Aug 26 06:13:15 EDT 2023
% 0.17/0.35  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 142.68/19.86  % SZS status Started for theBenchmark.p
% 142.68/19.86  % SZS status CounterSatisfiable for theBenchmark.p
% 142.68/19.86  
% 142.68/19.86  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 142.68/19.86  
% 142.68/19.86  ------  iProver source info
% 142.68/19.86  
% 142.68/19.86  git: date: 2023-05-31 18:12:56 +0000
% 142.68/19.86  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 142.68/19.86  git: non_committed_changes: false
% 142.68/19.86  git: last_make_outside_of_git: false
% 142.68/19.86  
% 142.68/19.86  ------ Parsing...
% 142.68/19.86  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 142.68/19.86  
% 142.68/19.86  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 142.68/19.86  
% 142.68/19.86  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 142.68/19.86  ------ Proving...
% 142.68/19.86  ------ Problem Properties 
% 142.68/19.86  
% 142.68/19.86  
% 142.68/19.86  clauses                                 23
% 142.68/19.86  conjectures                             0
% 142.68/19.86  EPR                                     23
% 142.68/19.86  Horn                                    23
% 142.68/19.86  unary                                   2
% 142.68/19.86  binary                                  21
% 142.68/19.86  lits                                    44
% 142.68/19.86  lits eq                                 0
% 142.68/19.86  fd_pure                                 0
% 142.68/19.86  fd_pseudo                               0
% 142.68/19.86  fd_cond                                 0
% 142.68/19.86  fd_pseudo_cond                          0
% 142.68/19.86  AC symbols                              0
% 142.68/19.86  
% 142.68/19.86  ------ Input Options Time Limit: Unbounded
% 142.68/19.86  
% 142.68/19.86  
% 142.68/19.86  ------ 
% 142.68/19.86  Current options:
% 142.68/19.86  ------ 
% 142.68/19.86  
% 142.68/19.86  
% 142.68/19.86  
% 142.68/19.86  
% 142.68/19.86  ------ Proving...
% 142.68/19.86  
% 142.68/19.86  
% 142.68/19.86  % SZS status CounterSatisfiable for theBenchmark.p
% 142.68/19.86  
% 142.68/19.86  % SZS output start Saturation for theBenchmark.p
% See solution above
% 142.68/19.86  
% 142.68/19.87  
%------------------------------------------------------------------------------