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FindProof---0.1.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : NUM377+1.010 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 02:19:53 PM UTC 2026

% Result   : Unsatisfiable 158.70s 20.66s
% Output   : Proof 158.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   33
% Syntax   : Number of formulae    : 5051 (  32 unt;  32 def)
%            Number of atoms       : 18206 (3363 equ)
%            Maximal formula atoms :  250 (   3 avg)
%            Number of connectives : 28158 (15003   ~;12463   |; 660   &)
%                                         (  32 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  244 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   34 (  32 usr;  33 prp; 0-2 aty)
%            Number of functors    :   36 (  36 usr;  33 con; 0-2 aty)
%            Number of variables   :   44 (   0 sgn   0   !;  44   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(sdef0,definition,
    ( spl0
  <=> sk0 = n0 ),
    introduced(definition,[new_symbols(naming,[spl0])],[avatar_definition]) ).

cnf(p144,plain,
    ( ~ spl0
    | sk0 = n0 ),
    inference(avatar_component_clause,[status(thm)],[sdef0]) ).

fof(sdef1,definition,
    ( spl1
  <=> sk0 = n1 ),
    introduced(definition,[new_symbols(naming,[spl1])],[avatar_definition]) ).

cnf(p145,plain,
    ( ~ spl1
    | sk0 = n1 ),
    inference(avatar_component_clause,[status(thm)],[sdef1]) ).

cnf(p254,plain,
    ( ~ spl1
    | ~ spl0
    | n0 = n1 ),
    inference(superposition,[status(thm)],[p144,p145]) ).

fof(f0,axiom,
    ? [X0,Y0,X1,Y1,X2,Y2,X3,Y3,X4,Y4,X5,Y5,X6,Y6,X7,Y7,X8,Y8,X9,Y9,X10,Y10] :
      ( n9 != n10
      & n8 != n10
      & n8 != n9
      & n7 != n10
      & n7 != n9
      & n7 != n8
      & n6 != n10
      & n6 != n9
      & n6 != n8
      & n6 != n7
      & n5 != n10
      & n5 != n9
      & n5 != n8
      & n5 != n7
      & n5 != n6
      & n4 != n10
      & n4 != n9
      & n4 != n8
      & n4 != n7
      & n4 != n6
      & n4 != n5
      & n3 != n10
      & n3 != n9
      & n3 != n8
      & n3 != n7
      & n3 != n6
      & n3 != n5
      & n3 != n4
      & n2 != n10
      & n2 != n9
      & n2 != n8
      & n2 != n7
      & n2 != n6
      & n2 != n5
      & n2 != n4
      & n2 != n3
      & n1 != n10
      & n1 != n9
      & n1 != n8
      & n1 != n7
      & n1 != n6
      & n1 != n5
      & n1 != n4
      & n1 != n3
      & n1 != n2
      & n0 != n10
      & n0 != n9
      & n0 != n8
      & n0 != n7
      & n0 != n6
      & n0 != n5
      & n0 != n4
      & n0 != n3
      & n0 != n2
      & n0 != n1
      & ( X10 != Y10
        | X9 != Y9
        | X8 != Y8
        | X7 != Y7
        | X6 != Y6
        | X5 != Y5
        | X4 != Y4
        | X3 != Y3
        | X2 != Y2
        | X1 != Y1 )
      & Y10 = sum(sum(pred(X9),succ(X9)),sum(pred(Y9),succ(Y9)))
      & X10 = sum(sum(pred(X9),succ(Y9)),sum(pred(Y9),succ(X9)))
      & Y9 = sum(sum(pred(X8),succ(X8)),sum(pred(Y8),succ(Y8)))
      & X9 = sum(sum(pred(X8),succ(Y8)),sum(pred(Y8),succ(X8)))
      & Y8 = sum(sum(pred(X7),succ(X7)),sum(pred(Y7),succ(Y7)))
      & X8 = sum(sum(pred(X7),succ(Y7)),sum(pred(Y7),succ(X7)))
      & Y7 = sum(sum(pred(X6),succ(X6)),sum(pred(Y6),succ(Y6)))
      & X7 = sum(sum(pred(X6),succ(Y6)),sum(pred(Y6),succ(X6)))
      & Y6 = sum(sum(pred(X5),succ(X5)),sum(pred(Y5),succ(Y5)))
      & X6 = sum(sum(pred(X5),succ(Y5)),sum(pred(Y5),succ(X5)))
      & Y5 = sum(sum(pred(X4),succ(X4)),sum(pred(Y4),succ(Y4)))
      & X5 = sum(sum(pred(X4),succ(Y4)),sum(pred(Y4),succ(X4)))
      & Y4 = sum(sum(pred(X3),succ(X3)),sum(pred(Y3),succ(Y3)))
      & X4 = sum(sum(pred(X3),succ(Y3)),sum(pred(Y3),succ(X3)))
      & Y3 = sum(sum(pred(X2),succ(X2)),sum(pred(Y2),succ(Y2)))
      & X3 = sum(sum(pred(X2),succ(Y2)),sum(pred(Y2),succ(X2)))
      & Y2 = sum(sum(pred(X1),succ(X1)),sum(pred(Y1),succ(Y1)))
      & X2 = sum(sum(pred(X1),succ(Y1)),sum(pred(Y1),succ(X1)))
      & Y1 = sum(sum(pred(X0),succ(X0)),sum(pred(Y0),succ(Y0)))
      & X1 = sum(sum(pred(X0),succ(Y0)),sum(pred(Y0),succ(X0)))
      & ( Y0 = n10
        | Y0 = n9
        | Y0 = n8
        | Y0 = n7
        | Y0 = n6
        | Y0 = n5
        | Y0 = n4
        | Y0 = n3
        | Y0 = n2
        | Y0 = n1
        | Y0 = n0 )
      & ( X0 = n10
        | X0 = n9
        | X0 = n8
        | X0 = n7
        | X0 = n6
        | X0 = n5
        | X0 = n4
        | X0 = n3
        | X0 = n2
        | X0 = n1
        | X0 = n0 )
      & sum(n10,n10) = n9
      & sum(n10,n9) = n8
      & sum(n10,n8) = n7
      & sum(n10,n7) = n6
      & sum(n10,n6) = n5
      & sum(n10,n5) = n4
      & sum(n10,n4) = n3
      & sum(n10,n3) = n2
      & sum(n10,n2) = n1
      & sum(n10,n1) = n0
      & sum(n10,n0) = n10
      & sum(n9,n10) = n8
      & sum(n9,n9) = n7
      & sum(n9,n8) = n6
      & sum(n9,n7) = n5
      & sum(n9,n6) = n4
      & sum(n9,n5) = n3
      & sum(n9,n4) = n2
      & sum(n9,n3) = n1
      & sum(n9,n2) = n0
      & sum(n9,n1) = n10
      & sum(n9,n0) = n9
      & sum(n8,n10) = n7
      & sum(n8,n9) = n6
      & sum(n8,n8) = n5
      & sum(n8,n7) = n4
      & sum(n8,n6) = n3
      & sum(n8,n5) = n2
      & sum(n8,n4) = n1
      & sum(n8,n3) = n0
      & sum(n8,n2) = n10
      & sum(n8,n1) = n9
      & sum(n8,n0) = n8
      & sum(n7,n10) = n6
      & sum(n7,n9) = n5
      & sum(n7,n8) = n4
      & sum(n7,n7) = n3
      & sum(n7,n6) = n2
      & sum(n7,n5) = n1
      & sum(n7,n4) = n0
      & sum(n7,n3) = n10
      & sum(n7,n2) = n9
      & sum(n7,n1) = n8
      & sum(n7,n0) = n7
      & sum(n6,n10) = n5
      & sum(n6,n9) = n4
      & sum(n6,n8) = n3
      & sum(n6,n7) = n2
      & sum(n6,n6) = n1
      & sum(n6,n5) = n0
      & sum(n6,n4) = n10
      & sum(n6,n3) = n9
      & sum(n6,n2) = n8
      & sum(n6,n1) = n7
      & sum(n6,n0) = n6
      & sum(n5,n10) = n4
      & sum(n5,n9) = n3
      & sum(n5,n8) = n2
      & sum(n5,n7) = n1
      & sum(n5,n6) = n0
      & sum(n5,n5) = n10
      & sum(n5,n4) = n9
      & sum(n5,n3) = n8
      & sum(n5,n2) = n7
      & sum(n5,n1) = n6
      & sum(n5,n0) = n5
      & sum(n4,n10) = n3
      & sum(n4,n9) = n2
      & sum(n4,n8) = n1
      & sum(n4,n7) = n0
      & sum(n4,n6) = n10
      & sum(n4,n5) = n9
      & sum(n4,n4) = n8
      & sum(n4,n3) = n7
      & sum(n4,n2) = n6
      & sum(n4,n1) = n5
      & sum(n4,n0) = n4
      & sum(n3,n10) = n2
      & sum(n3,n9) = n1
      & sum(n3,n8) = n0
      & sum(n3,n7) = n10
      & sum(n3,n6) = n9
      & sum(n3,n5) = n8
      & sum(n3,n4) = n7
      & sum(n3,n3) = n6
      & sum(n3,n2) = n5
      & sum(n3,n1) = n4
      & sum(n3,n0) = n3
      & sum(n2,n10) = n1
      & sum(n2,n9) = n0
      & sum(n2,n8) = n10
      & sum(n2,n7) = n9
      & sum(n2,n6) = n8
      & sum(n2,n5) = n7
      & sum(n2,n4) = n6
      & sum(n2,n3) = n5
      & sum(n2,n2) = n4
      & sum(n2,n1) = n3
      & sum(n2,n0) = n2
      & sum(n1,n10) = n0
      & sum(n1,n9) = n10
      & sum(n1,n8) = n9
      & sum(n1,n7) = n8
      & sum(n1,n6) = n7
      & sum(n1,n5) = n6
      & sum(n1,n4) = n5
      & sum(n1,n3) = n4
      & sum(n1,n2) = n3
      & sum(n1,n1) = n2
      & sum(n1,n0) = n1
      & sum(n0,n10) = n10
      & sum(n0,n9) = n9
      & sum(n0,n8) = n8
      & sum(n0,n7) = n7
      & sum(n0,n6) = n6
      & sum(n0,n5) = n5
      & sum(n0,n4) = n4
      & sum(n0,n3) = n3
      & sum(n0,n2) = n2
      & sum(n0,n1) = n1
      & sum(n0,n0) = n0
      & pred(n10) = n9
      & pred(n9) = n8
      & pred(n8) = n7
      & pred(n7) = n6
      & pred(n6) = n5
      & pred(n5) = n4
      & pred(n4) = n3
      & pred(n3) = n2
      & pred(n2) = n1
      & pred(n1) = n0
      & pred(n0) = n10
      & succ(n10) = n0
      & succ(n9) = n10
      & succ(n8) = n9
      & succ(n7) = n8
      & succ(n6) = n7
      & succ(n5) = n6
      & succ(n4) = n5
      & succ(n3) = n4
      & succ(n2) = n3
      & succ(n1) = n2
      & succ(n0) = n1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

fof(f0_nnf,plain,
    ? [X0,Y0,X1,Y1,X2,Y2,X3,Y3,X4,Y4,X5,Y5,X6,Y6,X7,Y7,X8,Y8,X9,Y9,X10,Y10] :
      ( n9 != n10
      & n8 != n10
      & n8 != n9
      & n7 != n10
      & n7 != n9
      & n7 != n8
      & n6 != n10
      & n6 != n9
      & n6 != n8
      & n6 != n7
      & n5 != n10
      & n5 != n9
      & n5 != n8
      & n5 != n7
      & n5 != n6
      & n4 != n10
      & n4 != n9
      & n4 != n8
      & n4 != n7
      & n4 != n6
      & n4 != n5
      & n3 != n10
      & n3 != n9
      & n3 != n8
      & n3 != n7
      & n3 != n6
      & n3 != n5
      & n3 != n4
      & n2 != n10
      & n2 != n9
      & n2 != n8
      & n2 != n7
      & n2 != n6
      & n2 != n5
      & n2 != n4
      & n2 != n3
      & n1 != n10
      & n1 != n9
      & n1 != n8
      & n1 != n7
      & n1 != n6
      & n1 != n5
      & n1 != n4
      & n1 != n3
      & n1 != n2
      & n0 != n10
      & n0 != n9
      & n0 != n8
      & n0 != n7
      & n0 != n6
      & n0 != n5
      & n0 != n4
      & n0 != n3
      & n0 != n2
      & n0 != n1
      & ( X10 != Y10
        | X9 != Y9
        | X8 != Y8
        | X7 != Y7
        | X6 != Y6
        | X5 != Y5
        | X4 != Y4
        | X3 != Y3
        | X2 != Y2
        | X1 != Y1 )
      & Y10 = sum(sum(pred(X9),succ(X9)),sum(pred(Y9),succ(Y9)))
      & X10 = sum(sum(pred(X9),succ(Y9)),sum(pred(Y9),succ(X9)))
      & Y9 = sum(sum(pred(X8),succ(X8)),sum(pred(Y8),succ(Y8)))
      & X9 = sum(sum(pred(X8),succ(Y8)),sum(pred(Y8),succ(X8)))
      & Y8 = sum(sum(pred(X7),succ(X7)),sum(pred(Y7),succ(Y7)))
      & X8 = sum(sum(pred(X7),succ(Y7)),sum(pred(Y7),succ(X7)))
      & Y7 = sum(sum(pred(X6),succ(X6)),sum(pred(Y6),succ(Y6)))
      & X7 = sum(sum(pred(X6),succ(Y6)),sum(pred(Y6),succ(X6)))
      & Y6 = sum(sum(pred(X5),succ(X5)),sum(pred(Y5),succ(Y5)))
      & X6 = sum(sum(pred(X5),succ(Y5)),sum(pred(Y5),succ(X5)))
      & Y5 = sum(sum(pred(X4),succ(X4)),sum(pred(Y4),succ(Y4)))
      & X5 = sum(sum(pred(X4),succ(Y4)),sum(pred(Y4),succ(X4)))
      & Y4 = sum(sum(pred(X3),succ(X3)),sum(pred(Y3),succ(Y3)))
      & X4 = sum(sum(pred(X3),succ(Y3)),sum(pred(Y3),succ(X3)))
      & Y3 = sum(sum(pred(X2),succ(X2)),sum(pred(Y2),succ(Y2)))
      & X3 = sum(sum(pred(X2),succ(Y2)),sum(pred(Y2),succ(X2)))
      & Y2 = sum(sum(pred(X1),succ(X1)),sum(pred(Y1),succ(Y1)))
      & X2 = sum(sum(pred(X1),succ(Y1)),sum(pred(Y1),succ(X1)))
      & Y1 = sum(sum(pred(X0),succ(X0)),sum(pred(Y0),succ(Y0)))
      & X1 = sum(sum(pred(X0),succ(Y0)),sum(pred(Y0),succ(X0)))
      & ( Y0 = n10
        | Y0 = n9
        | Y0 = n8
        | Y0 = n7
        | Y0 = n6
        | Y0 = n5
        | Y0 = n4
        | Y0 = n3
        | Y0 = n2
        | Y0 = n1
        | Y0 = n0 )
      & ( X0 = n10
        | X0 = n9
        | X0 = n8
        | X0 = n7
        | X0 = n6
        | X0 = n5
        | X0 = n4
        | X0 = n3
        | X0 = n2
        | X0 = n1
        | X0 = n0 )
      & sum(n10,n10) = n9
      & sum(n10,n9) = n8
      & sum(n10,n8) = n7
      & sum(n10,n7) = n6
      & sum(n10,n6) = n5
      & sum(n10,n5) = n4
      & sum(n10,n4) = n3
      & sum(n10,n3) = n2
      & sum(n10,n2) = n1
      & sum(n10,n1) = n0
      & sum(n10,n0) = n10
      & sum(n9,n10) = n8
      & sum(n9,n9) = n7
      & sum(n9,n8) = n6
      & sum(n9,n7) = n5
      & sum(n9,n6) = n4
      & sum(n9,n5) = n3
      & sum(n9,n4) = n2
      & sum(n9,n3) = n1
      & sum(n9,n2) = n0
      & sum(n9,n1) = n10
      & sum(n9,n0) = n9
      & sum(n8,n10) = n7
      & sum(n8,n9) = n6
      & sum(n8,n8) = n5
      & sum(n8,n7) = n4
      & sum(n8,n6) = n3
      & sum(n8,n5) = n2
      & sum(n8,n4) = n1
      & sum(n8,n3) = n0
      & sum(n8,n2) = n10
      & sum(n8,n1) = n9
      & sum(n8,n0) = n8
      & sum(n7,n10) = n6
      & sum(n7,n9) = n5
      & sum(n7,n8) = n4
      & sum(n7,n7) = n3
      & sum(n7,n6) = n2
      & sum(n7,n5) = n1
      & sum(n7,n4) = n0
      & sum(n7,n3) = n10
      & sum(n7,n2) = n9
      & sum(n7,n1) = n8
      & sum(n7,n0) = n7
      & sum(n6,n10) = n5
      & sum(n6,n9) = n4
      & sum(n6,n8) = n3
      & sum(n6,n7) = n2
      & sum(n6,n6) = n1
      & sum(n6,n5) = n0
      & sum(n6,n4) = n10
      & sum(n6,n3) = n9
      & sum(n6,n2) = n8
      & sum(n6,n1) = n7
      & sum(n6,n0) = n6
      & sum(n5,n10) = n4
      & sum(n5,n9) = n3
      & sum(n5,n8) = n2
      & sum(n5,n7) = n1
      & sum(n5,n6) = n0
      & sum(n5,n5) = n10
      & sum(n5,n4) = n9
      & sum(n5,n3) = n8
      & sum(n5,n2) = n7
      & sum(n5,n1) = n6
      & sum(n5,n0) = n5
      & sum(n4,n10) = n3
      & sum(n4,n9) = n2
      & sum(n4,n8) = n1
      & sum(n4,n7) = n0
      & sum(n4,n6) = n10
      & sum(n4,n5) = n9
      & sum(n4,n4) = n8
      & sum(n4,n3) = n7
      & sum(n4,n2) = n6
      & sum(n4,n1) = n5
      & sum(n4,n0) = n4
      & sum(n3,n10) = n2
      & sum(n3,n9) = n1
      & sum(n3,n8) = n0
      & sum(n3,n7) = n10
      & sum(n3,n6) = n9
      & sum(n3,n5) = n8
      & sum(n3,n4) = n7
      & sum(n3,n3) = n6
      & sum(n3,n2) = n5
      & sum(n3,n1) = n4
      & sum(n3,n0) = n3
      & sum(n2,n10) = n1
      & sum(n2,n9) = n0
      & sum(n2,n8) = n10
      & sum(n2,n7) = n9
      & sum(n2,n6) = n8
      & sum(n2,n5) = n7
      & sum(n2,n4) = n6
      & sum(n2,n3) = n5
      & sum(n2,n2) = n4
      & sum(n2,n1) = n3
      & sum(n2,n0) = n2
      & sum(n1,n10) = n0
      & sum(n1,n9) = n10
      & sum(n1,n8) = n9
      & sum(n1,n7) = n8
      & sum(n1,n6) = n7
      & sum(n1,n5) = n6
      & sum(n1,n4) = n5
      & sum(n1,n3) = n4
      & sum(n1,n2) = n3
      & sum(n1,n1) = n2
      & sum(n1,n0) = n1
      & sum(n0,n10) = n10
      & sum(n0,n9) = n9
      & sum(n0,n8) = n8
      & sum(n0,n7) = n7
      & sum(n0,n6) = n6
      & sum(n0,n5) = n5
      & sum(n0,n4) = n4
      & sum(n0,n3) = n3
      & sum(n0,n2) = n2
      & sum(n0,n1) = n1
      & sum(n0,n0) = n0
      & pred(n10) = n9
      & pred(n9) = n8
      & pred(n8) = n7
      & pred(n7) = n6
      & pred(n6) = n5
      & pred(n5) = n4
      & pred(n4) = n3
      & pred(n3) = n2
      & pred(n2) = n1
      & pred(n1) = n0
      & pred(n0) = n10
      & succ(n10) = n0
      & succ(n9) = n10
      & succ(n8) = n9
      & succ(n7) = n8
      & succ(n6) = n7
      & succ(n5) = n6
      & succ(n4) = n5
      & succ(n3) = n4
      & succ(n2) = n3
      & succ(n1) = n2
      & succ(n0) = n1 ),
    inference(nnf_transformation,[status(thm)],[f0]) ).

fof(f0_sk,plain,
    ( n9 != n10
    & n8 != n10
    & n8 != n9
    & n7 != n10
    & n7 != n9
    & n7 != n8
    & n6 != n10
    & n6 != n9
    & n6 != n8
    & n6 != n7
    & n5 != n10
    & n5 != n9
    & n5 != n8
    & n5 != n7
    & n5 != n6
    & n4 != n10
    & n4 != n9
    & n4 != n8
    & n4 != n7
    & n4 != n6
    & n4 != n5
    & n3 != n10
    & n3 != n9
    & n3 != n8
    & n3 != n7
    & n3 != n6
    & n3 != n5
    & n3 != n4
    & n2 != n10
    & n2 != n9
    & n2 != n8
    & n2 != n7
    & n2 != n6
    & n2 != n5
    & n2 != n4
    & n2 != n3
    & n1 != n10
    & n1 != n9
    & n1 != n8
    & n1 != n7
    & n1 != n6
    & n1 != n5
    & n1 != n4
    & n1 != n3
    & n1 != n2
    & n0 != n10
    & n0 != n9
    & n0 != n8
    & n0 != n7
    & n0 != n6
    & n0 != n5
    & n0 != n4
    & n0 != n3
    & n0 != n2
    & n0 != n1
    & ( sk20 != sk21
      | sk18 != sk19
      | sk16 != sk17
      | sk14 != sk15
      | sk12 != sk13
      | sk10 != sk11
      | sk8 != sk9
      | sk6 != sk7
      | sk4 != sk5
      | sk2 != sk3 )
    & sk21 = sum(sum(pred(sk18),succ(sk18)),sum(pred(sk19),succ(sk19)))
    & sk20 = sum(sum(pred(sk18),succ(sk19)),sum(pred(sk19),succ(sk18)))
    & sk19 = sum(sum(pred(sk16),succ(sk16)),sum(pred(sk17),succ(sk17)))
    & sk18 = sum(sum(pred(sk16),succ(sk17)),sum(pred(sk17),succ(sk16)))
    & sk17 = sum(sum(pred(sk14),succ(sk14)),sum(pred(sk15),succ(sk15)))
    & sk16 = sum(sum(pred(sk14),succ(sk15)),sum(pred(sk15),succ(sk14)))
    & sk15 = sum(sum(pred(sk12),succ(sk12)),sum(pred(sk13),succ(sk13)))
    & sk14 = sum(sum(pred(sk12),succ(sk13)),sum(pred(sk13),succ(sk12)))
    & sk13 = sum(sum(pred(sk10),succ(sk10)),sum(pred(sk11),succ(sk11)))
    & sk12 = sum(sum(pred(sk10),succ(sk11)),sum(pred(sk11),succ(sk10)))
    & sk11 = sum(sum(pred(sk8),succ(sk8)),sum(pred(sk9),succ(sk9)))
    & sk10 = sum(sum(pred(sk8),succ(sk9)),sum(pred(sk9),succ(sk8)))
    & sk9 = sum(sum(pred(sk6),succ(sk6)),sum(pred(sk7),succ(sk7)))
    & sk8 = sum(sum(pred(sk6),succ(sk7)),sum(pred(sk7),succ(sk6)))
    & sk7 = sum(sum(pred(sk4),succ(sk4)),sum(pred(sk5),succ(sk5)))
    & sk6 = sum(sum(pred(sk4),succ(sk5)),sum(pred(sk5),succ(sk4)))
    & sk5 = sum(sum(pred(sk2),succ(sk2)),sum(pred(sk3),succ(sk3)))
    & sk4 = sum(sum(pred(sk2),succ(sk3)),sum(pred(sk3),succ(sk2)))
    & sk3 = sum(sum(pred(sk0),succ(sk0)),sum(pred(sk1),succ(sk1)))
    & sk2 = sum(sum(pred(sk0),succ(sk1)),sum(pred(sk1),succ(sk0)))
    & ( sk1 = n10
      | sk1 = n9
      | sk1 = n8
      | sk1 = n7
      | sk1 = n6
      | sk1 = n5
      | sk1 = n4
      | sk1 = n3
      | sk1 = n2
      | sk1 = n1
      | sk1 = n0 )
    & ( sk0 = n10
      | sk0 = n9
      | sk0 = n8
      | sk0 = n7
      | sk0 = n6
      | sk0 = n5
      | sk0 = n4
      | sk0 = n3
      | sk0 = n2
      | sk0 = n1
      | sk0 = n0 )
    & sum(n10,n10) = n9
    & sum(n10,n9) = n8
    & sum(n10,n8) = n7
    & sum(n10,n7) = n6
    & sum(n10,n6) = n5
    & sum(n10,n5) = n4
    & sum(n10,n4) = n3
    & sum(n10,n3) = n2
    & sum(n10,n2) = n1
    & sum(n10,n1) = n0
    & sum(n10,n0) = n10
    & sum(n9,n10) = n8
    & sum(n9,n9) = n7
    & sum(n9,n8) = n6
    & sum(n9,n7) = n5
    & sum(n9,n6) = n4
    & sum(n9,n5) = n3
    & sum(n9,n4) = n2
    & sum(n9,n3) = n1
    & sum(n9,n2) = n0
    & sum(n9,n1) = n10
    & sum(n9,n0) = n9
    & sum(n8,n10) = n7
    & sum(n8,n9) = n6
    & sum(n8,n8) = n5
    & sum(n8,n7) = n4
    & sum(n8,n6) = n3
    & sum(n8,n5) = n2
    & sum(n8,n4) = n1
    & sum(n8,n3) = n0
    & sum(n8,n2) = n10
    & sum(n8,n1) = n9
    & sum(n8,n0) = n8
    & sum(n7,n10) = n6
    & sum(n7,n9) = n5
    & sum(n7,n8) = n4
    & sum(n7,n7) = n3
    & sum(n7,n6) = n2
    & sum(n7,n5) = n1
    & sum(n7,n4) = n0
    & sum(n7,n3) = n10
    & sum(n7,n2) = n9
    & sum(n7,n1) = n8
    & sum(n7,n0) = n7
    & sum(n6,n10) = n5
    & sum(n6,n9) = n4
    & sum(n6,n8) = n3
    & sum(n6,n7) = n2
    & sum(n6,n6) = n1
    & sum(n6,n5) = n0
    & sum(n6,n4) = n10
    & sum(n6,n3) = n9
    & sum(n6,n2) = n8
    & sum(n6,n1) = n7
    & sum(n6,n0) = n6
    & sum(n5,n10) = n4
    & sum(n5,n9) = n3
    & sum(n5,n8) = n2
    & sum(n5,n7) = n1
    & sum(n5,n6) = n0
    & sum(n5,n5) = n10
    & sum(n5,n4) = n9
    & sum(n5,n3) = n8
    & sum(n5,n2) = n7
    & sum(n5,n1) = n6
    & sum(n5,n0) = n5
    & sum(n4,n10) = n3
    & sum(n4,n9) = n2
    & sum(n4,n8) = n1
    & sum(n4,n7) = n0
    & sum(n4,n6) = n10
    & sum(n4,n5) = n9
    & sum(n4,n4) = n8
    & sum(n4,n3) = n7
    & sum(n4,n2) = n6
    & sum(n4,n1) = n5
    & sum(n4,n0) = n4
    & sum(n3,n10) = n2
    & sum(n3,n9) = n1
    & sum(n3,n8) = n0
    & sum(n3,n7) = n10
    & sum(n3,n6) = n9
    & sum(n3,n5) = n8
    & sum(n3,n4) = n7
    & sum(n3,n3) = n6
    & sum(n3,n2) = n5
    & sum(n3,n1) = n4
    & sum(n3,n0) = n3
    & sum(n2,n10) = n1
    & sum(n2,n9) = n0
    & sum(n2,n8) = n10
    & sum(n2,n7) = n9
    & sum(n2,n6) = n8
    & sum(n2,n5) = n7
    & sum(n2,n4) = n6
    & sum(n2,n3) = n5
    & sum(n2,n2) = n4
    & sum(n2,n1) = n3
    & sum(n2,n0) = n2
    & sum(n1,n10) = n0
    & sum(n1,n9) = n10
    & sum(n1,n8) = n9
    & sum(n1,n7) = n8
    & sum(n1,n6) = n7
    & sum(n1,n5) = n6
    & sum(n1,n4) = n5
    & sum(n1,n3) = n4
    & sum(n1,n2) = n3
    & sum(n1,n1) = n2
    & sum(n1,n0) = n1
    & sum(n0,n10) = n10
    & sum(n0,n9) = n9
    & sum(n0,n8) = n8
    & sum(n0,n7) = n7
    & sum(n0,n6) = n6
    & sum(n0,n5) = n5
    & sum(n0,n4) = n4
    & sum(n0,n3) = n3
    & sum(n0,n2) = n2
    & sum(n0,n1) = n1
    & sum(n0,n0) = n0
    & pred(n10) = n9
    & pred(n9) = n8
    & pred(n8) = n7
    & pred(n7) = n6
    & pred(n6) = n5
    & pred(n5) = n4
    & pred(n4) = n3
    & pred(n3) = n2
    & pred(n2) = n1
    & pred(n1) = n0
    & pred(n0) = n10
    & succ(n10) = n0
    & succ(n9) = n10
    & succ(n8) = n9
    & succ(n7) = n8
    & succ(n6) = n7
    & succ(n5) = n6
    & succ(n4) = n5
    & succ(n3) = n4
    & succ(n2) = n3
    & succ(n1) = n2
    & succ(n0) = n1 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2,sk3,sk4,sk5,sk6,sk7,sk8,sk9,sk10,sk11,sk12,sk13,sk14,sk15,sk16,sk17,sk18,sk19,sk20,sk21])],[f0_nnf]) ).

cnf(c166,plain,
    n0 != n1,
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(p476,plain,
    ( ~ spl1
    | ~ spl0
    | $false ),
    inference(resolution,[status(thm)],[p254,c166]) ).

cnf(sct0,plain,
    ( ~ spl1
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p476]) ).

fof(sdef2,definition,
    ( spl2
  <=> sk0 = n2 ),
    introduced(definition,[new_symbols(naming,[spl2])],[avatar_definition]) ).

cnf(p146,plain,
    ( ~ spl2
    | sk0 = n2 ),
    inference(avatar_component_clause,[status(thm)],[sdef2]) ).

cnf(p258,plain,
    ( ~ spl2
    | ~ spl1
    | n1 = n2 ),
    inference(superposition,[status(thm)],[p145,p146]) ).

cnf(c176,plain,
    n1 != n2,
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(p480,plain,
    ( ~ spl2
    | ~ spl1
    | $false ),
    inference(resolution,[status(thm)],[p258,c176]) ).

cnf(sct1,plain,
    ( ~ spl2
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p480]) ).

fof(sdef3,definition,
    ( spl3
  <=> sk0 = n3 ),
    introduced(definition,[new_symbols(naming,[spl3])],[avatar_definition]) ).

cnf(p147,plain,
    ( ~ spl3
    | sk0 = n3 ),
    inference(avatar_component_clause,[status(thm)],[sdef3]) ).

cnf(p264,plain,
    ( ~ spl3
    | ~ spl2
    | n2 = n3 ),
    inference(superposition,[status(thm)],[p146,p147]) ).

cnf(c185,plain,
    n2 != n3,
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(p484,plain,
    ( ~ spl3
    | ~ spl2
    | $false ),
    inference(resolution,[status(thm)],[p264,c185]) ).

cnf(sct2,plain,
    ( ~ spl3
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p484]) ).

fof(sdef4,definition,
    ( spl4
  <=> sk0 = n4 ),
    introduced(definition,[new_symbols(naming,[spl4])],[avatar_definition]) ).

cnf(p148,plain,
    ( ~ spl4
    | sk0 = n4 ),
    inference(avatar_component_clause,[status(thm)],[sdef4]) ).

cnf(p272,plain,
    ( ~ spl4
    | ~ spl3
    | n3 = n4 ),
    inference(superposition,[status(thm)],[p147,p148]) ).

cnf(c193,plain,
    n3 != n4,
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(p488,plain,
    ( ~ spl4
    | ~ spl3
    | $false ),
    inference(resolution,[status(thm)],[p272,c193]) ).

cnf(sct3,plain,
    ( ~ spl4
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p488]) ).

fof(sdef5,definition,
    ( spl5
  <=> sk0 = n5 ),
    introduced(definition,[new_symbols(naming,[spl5])],[avatar_definition]) ).

cnf(p149,plain,
    ( ~ spl5
    | sk0 = n5 ),
    inference(avatar_component_clause,[status(thm)],[sdef5]) ).

cnf(p282,plain,
    ( ~ spl5
    | ~ spl4
    | n4 = n5 ),
    inference(superposition,[status(thm)],[p148,p149]) ).

cnf(c200,plain,
    n4 != n5,
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(p492,plain,
    ( ~ spl5
    | ~ spl4
    | $false ),
    inference(resolution,[status(thm)],[p282,c200]) ).

cnf(sct4,plain,
    ( ~ spl5
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p492]) ).

fof(sdef6,definition,
    ( spl6
  <=> sk0 = n6 ),
    introduced(definition,[new_symbols(naming,[spl6])],[avatar_definition]) ).

cnf(p150,plain,
    ( ~ spl6
    | sk0 = n6 ),
    inference(avatar_component_clause,[status(thm)],[sdef6]) ).

cnf(p294,plain,
    ( ~ spl6
    | ~ spl5
    | n5 = n6 ),
    inference(superposition,[status(thm)],[p149,p150]) ).

cnf(c206,plain,
    n5 != n6,
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(p496,plain,
    ( ~ spl6
    | ~ spl5
    | $false ),
    inference(resolution,[status(thm)],[p294,c206]) ).

cnf(sct5,plain,
    ( ~ spl6
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p496]) ).

fof(sdef7,definition,
    ( spl7
  <=> sk0 = n7 ),
    introduced(definition,[new_symbols(naming,[spl7])],[avatar_definition]) ).

cnf(p151,plain,
    ( ~ spl7
    | sk0 = n7 ),
    inference(avatar_component_clause,[status(thm)],[sdef7]) ).

cnf(p308,plain,
    ( ~ spl7
    | ~ spl6
    | n6 = n7 ),
    inference(superposition,[status(thm)],[p150,p151]) ).

cnf(c211,plain,
    n6 != n7,
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(p500,plain,
    ( ~ spl7
    | ~ spl6
    | $false ),
    inference(resolution,[status(thm)],[p308,c211]) ).

cnf(sct6,plain,
    ( ~ spl7
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p500]) ).

fof(sdef8,definition,
    ( spl8
  <=> sk0 = n8 ),
    introduced(definition,[new_symbols(naming,[spl8])],[avatar_definition]) ).

cnf(p152,plain,
    ( ~ spl8
    | sk0 = n8 ),
    inference(avatar_component_clause,[status(thm)],[sdef8]) ).

cnf(p324,plain,
    ( ~ spl8
    | ~ spl7
    | n7 = n8 ),
    inference(superposition,[status(thm)],[p151,p152]) ).

cnf(c215,plain,
    n7 != n8,
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(p504,plain,
    ( ~ spl8
    | ~ spl7
    | $false ),
    inference(resolution,[status(thm)],[p324,c215]) ).

cnf(sct7,plain,
    ( ~ spl8
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p504]) ).

fof(sdef9,definition,
    ( spl9
  <=> sk0 = n9 ),
    introduced(definition,[new_symbols(naming,[spl9])],[avatar_definition]) ).

cnf(p153,plain,
    ( ~ spl9
    | sk0 = n9 ),
    inference(avatar_component_clause,[status(thm)],[sdef9]) ).

cnf(p342,plain,
    ( ~ spl9
    | ~ spl8
    | n8 = n9 ),
    inference(superposition,[status(thm)],[p152,p153]) ).

cnf(c218,plain,
    n8 != n9,
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(p508,plain,
    ( ~ spl9
    | ~ spl8
    | $false ),
    inference(resolution,[status(thm)],[p342,c218]) ).

cnf(sct8,plain,
    ( ~ spl9
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p508]) ).

fof(sdef11,definition,
    ( spl11
  <=> sk1 = n0 ),
    introduced(definition,[new_symbols(naming,[spl11])],[avatar_definition]) ).

cnf(p156,plain,
    ( ~ spl11
    | sk1 = n0 ),
    inference(avatar_component_clause,[status(thm)],[sdef11]) ).

fof(sdef12,definition,
    ( spl12
  <=> sk1 = n1 ),
    introduced(definition,[new_symbols(naming,[spl12])],[avatar_definition]) ).

cnf(p157,plain,
    ( ~ spl12
    | sk1 = n1 ),
    inference(avatar_component_clause,[status(thm)],[sdef12]) ).

cnf(p364,plain,
    ( ~ spl12
    | ~ spl11
    | n0 = n1 ),
    inference(superposition,[status(thm)],[p156,p157]) ).

cnf(p515,plain,
    ( ~ spl12
    | ~ spl11
    | $false ),
    inference(resolution,[status(thm)],[p364,c166]) ).

cnf(sct9,plain,
    ( ~ spl12
    | ~ spl11 ),
    inference(avatar_contradiction_clause,[status(thm)],[p515]) ).

fof(sdef13,definition,
    ( spl13
  <=> sk1 = n2 ),
    introduced(definition,[new_symbols(naming,[spl13])],[avatar_definition]) ).

cnf(p158,plain,
    ( ~ spl13
    | sk1 = n2 ),
    inference(avatar_component_clause,[status(thm)],[sdef13]) ).

cnf(p368,plain,
    ( ~ spl13
    | ~ spl12
    | n1 = n2 ),
    inference(superposition,[status(thm)],[p157,p158]) ).

cnf(p519,plain,
    ( ~ spl13
    | ~ spl12
    | $false ),
    inference(resolution,[status(thm)],[p368,c176]) ).

cnf(sct10,plain,
    ( ~ spl13
    | ~ spl12 ),
    inference(avatar_contradiction_clause,[status(thm)],[p519]) ).

fof(sdef14,definition,
    ( spl14
  <=> sk1 = n3 ),
    introduced(definition,[new_symbols(naming,[spl14])],[avatar_definition]) ).

cnf(p159,plain,
    ( ~ spl14
    | sk1 = n3 ),
    inference(avatar_component_clause,[status(thm)],[sdef14]) ).

cnf(p374,plain,
    ( ~ spl14
    | ~ spl13
    | n2 = n3 ),
    inference(superposition,[status(thm)],[p158,p159]) ).

cnf(p523,plain,
    ( ~ spl14
    | ~ spl13
    | $false ),
    inference(resolution,[status(thm)],[p374,c185]) ).

cnf(sct11,plain,
    ( ~ spl14
    | ~ spl13 ),
    inference(avatar_contradiction_clause,[status(thm)],[p523]) ).

fof(sdef15,definition,
    ( spl15
  <=> sk1 = n4 ),
    introduced(definition,[new_symbols(naming,[spl15])],[avatar_definition]) ).

cnf(p160,plain,
    ( ~ spl15
    | sk1 = n4 ),
    inference(avatar_component_clause,[status(thm)],[sdef15]) ).

cnf(p382,plain,
    ( ~ spl15
    | ~ spl14
    | n3 = n4 ),
    inference(superposition,[status(thm)],[p159,p160]) ).

cnf(p527,plain,
    ( ~ spl15
    | ~ spl14
    | $false ),
    inference(resolution,[status(thm)],[p382,c193]) ).

cnf(sct12,plain,
    ( ~ spl15
    | ~ spl14 ),
    inference(avatar_contradiction_clause,[status(thm)],[p527]) ).

fof(sdef16,definition,
    ( spl16
  <=> sk1 = n5 ),
    introduced(definition,[new_symbols(naming,[spl16])],[avatar_definition]) ).

cnf(p161,plain,
    ( ~ spl16
    | sk1 = n5 ),
    inference(avatar_component_clause,[status(thm)],[sdef16]) ).

cnf(p392,plain,
    ( ~ spl16
    | ~ spl15
    | n4 = n5 ),
    inference(superposition,[status(thm)],[p160,p161]) ).

cnf(p531,plain,
    ( ~ spl16
    | ~ spl15
    | $false ),
    inference(resolution,[status(thm)],[p392,c200]) ).

cnf(sct13,plain,
    ( ~ spl16
    | ~ spl15 ),
    inference(avatar_contradiction_clause,[status(thm)],[p531]) ).

fof(sdef17,definition,
    ( spl17
  <=> sk1 = n6 ),
    introduced(definition,[new_symbols(naming,[spl17])],[avatar_definition]) ).

cnf(p162,plain,
    ( ~ spl17
    | sk1 = n6 ),
    inference(avatar_component_clause,[status(thm)],[sdef17]) ).

cnf(p404,plain,
    ( ~ spl17
    | ~ spl16
    | n5 = n6 ),
    inference(superposition,[status(thm)],[p161,p162]) ).

cnf(p535,plain,
    ( ~ spl17
    | ~ spl16
    | $false ),
    inference(resolution,[status(thm)],[p404,c206]) ).

cnf(sct14,plain,
    ( ~ spl17
    | ~ spl16 ),
    inference(avatar_contradiction_clause,[status(thm)],[p535]) ).

fof(sdef18,definition,
    ( spl18
  <=> sk1 = n7 ),
    introduced(definition,[new_symbols(naming,[spl18])],[avatar_definition]) ).

cnf(p163,plain,
    ( ~ spl18
    | sk1 = n7 ),
    inference(avatar_component_clause,[status(thm)],[sdef18]) ).

cnf(p418,plain,
    ( ~ spl18
    | ~ spl17
    | n6 = n7 ),
    inference(superposition,[status(thm)],[p162,p163]) ).

cnf(p539,plain,
    ( ~ spl18
    | ~ spl17
    | $false ),
    inference(resolution,[status(thm)],[p418,c211]) ).

cnf(sct15,plain,
    ( ~ spl18
    | ~ spl17 ),
    inference(avatar_contradiction_clause,[status(thm)],[p539]) ).

fof(sdef19,definition,
    ( spl19
  <=> sk1 = n8 ),
    introduced(definition,[new_symbols(naming,[spl19])],[avatar_definition]) ).

cnf(p164,plain,
    ( ~ spl19
    | sk1 = n8 ),
    inference(avatar_component_clause,[status(thm)],[sdef19]) ).

cnf(p434,plain,
    ( ~ spl19
    | ~ spl18
    | n7 = n8 ),
    inference(superposition,[status(thm)],[p163,p164]) ).

cnf(p543,plain,
    ( ~ spl19
    | ~ spl18
    | $false ),
    inference(resolution,[status(thm)],[p434,c215]) ).

cnf(sct16,plain,
    ( ~ spl19
    | ~ spl18 ),
    inference(avatar_contradiction_clause,[status(thm)],[p543]) ).

fof(sdef20,definition,
    ( spl20
  <=> sk1 = n9 ),
    introduced(definition,[new_symbols(naming,[spl20])],[avatar_definition]) ).

cnf(p165,plain,
    ( ~ spl20
    | sk1 = n9 ),
    inference(avatar_component_clause,[status(thm)],[sdef20]) ).

cnf(p452,plain,
    ( ~ spl20
    | ~ spl19
    | n8 = n9 ),
    inference(superposition,[status(thm)],[p164,p165]) ).

cnf(p547,plain,
    ( ~ spl20
    | ~ spl19
    | $false ),
    inference(resolution,[status(thm)],[p452,c218]) ).

cnf(sct17,plain,
    ( ~ spl20
    | ~ spl19 ),
    inference(avatar_contradiction_clause,[status(thm)],[p547]) ).

fof(sdef10,definition,
    ( spl10
  <=> sk0 = n10 ),
    introduced(definition,[new_symbols(naming,[spl10])],[avatar_definition]) ).

cnf(p154,plain,
    ( ~ spl10
    | sk0 = n10 ),
    inference(avatar_component_clause,[status(thm)],[sdef10]) ).

cnf(p361,plain,
    ( ~ spl10
    | ~ spl9
    | n10 = n9 ),
    inference(superposition,[status(thm)],[p154,p153]) ).

cnf(c10,plain,
    succ(n10) = n0,
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(p509,plain,
    ( ~ spl10
    | ~ spl9
    | n9 = n0 ),
    inference(superposition,[status(thm)],[p361,c10]) ).

cnf(c174,plain,
    n0 != n9,
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(p552,plain,
    ( ~ spl10
    | ~ spl9
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p509,c174]) ).

cnf(p579,plain,
    ( ~ spl10
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p552]) ).

cnf(sct18,plain,
    ( ~ spl10
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p579]) ).

fof(sdef21,definition,
    ( spl21
  <=> sk1 = n10 ),
    introduced(definition,[new_symbols(naming,[spl21])],[avatar_definition]) ).

cnf(p166,plain,
    ( ~ spl21
    | sk1 = n10 ),
    inference(avatar_component_clause,[status(thm)],[sdef21]) ).

cnf(p471,plain,
    ( ~ spl21
    | ~ spl20
    | n10 = n9 ),
    inference(superposition,[status(thm)],[p166,p165]) ).

cnf(p548,plain,
    ( ~ spl21
    | ~ spl20
    | n9 = n0 ),
    inference(superposition,[status(thm)],[p471,c10]) ).

cnf(p566,plain,
    ( ~ spl21
    | ~ spl20
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p548,c174]) ).

cnf(p580,plain,
    ( ~ spl21
    | ~ spl20
    | $false ),
    inference(equality_resolution,[status(thm)],[p566]) ).

cnf(sct19,plain,
    ( ~ spl21
    | ~ spl20 ),
    inference(avatar_contradiction_clause,[status(thm)],[p580]) ).

cnf(c146,plain,
    sk3 = sum(sum(pred(sk0),succ(sk0)),sum(pred(sk1),succ(sk1))),
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(p584,plain,
    ( ~ spl9
    | sk3 = sum(n7,sum(pred(sk1),succ(sk1))) ),
    inference(superposition,[status(thm)],[p153,c146]) ).

cnf(p587,plain,
    ( ~ spl20
    | ~ spl9
    | sk3 = n3 ),
    inference(superposition,[status(thm)],[p165,p584]) ).

cnf(c145,plain,
    sk2 = sum(sum(pred(sk0),succ(sk1)),sum(pred(sk1),succ(sk0))),
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(p581,plain,
    ( ~ spl9
    | sk2 = sum(sum(n8,succ(sk1)),sum(pred(sk1),n10)) ),
    inference(superposition,[status(thm)],[p153,c145]) ).

cnf(p583,plain,
    ( ~ spl20
    | ~ spl9
    | sk2 = n3 ),
    inference(superposition,[status(thm)],[p165,p581]) ).

fof(sdef22,definition,
    ( spl22
  <=> sk2 != sk3 ),
    introduced(definition,[new_symbols(naming,[spl22])],[avatar_definition]) ).

cnf(p188,plain,
    ( ~ spl22
    | sk2 != sk3 ),
    inference(avatar_component_clause,[status(thm)],[sdef22]) ).

cnf(p586,plain,
    ( ~ spl22
    | ~ spl20
    | ~ spl9
    | n3 != sk3 ),
    inference(superposition,[status(thm)],[p583,p188]) ).

cnf(p588,plain,
    ( ~ spl22
    | ~ spl20
    | ~ spl9
    | n3 != n3 ),
    inference(demodulation,[status(thm)],[p587,p586]) ).

cnf(p590,plain,
    ( ~ spl22
    | ~ spl20
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p588]) ).

cnf(sct20,plain,
    ( ~ spl22
    | ~ spl20
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p590]) ).

cnf(c148,plain,
    sk5 = sum(sum(pred(sk2),succ(sk2)),sum(pred(sk3),succ(sk3))),
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(p592,plain,
    ( ~ spl20
    | ~ spl9
    | sk5 = n1 ),
    inference(superposition,[status(thm)],[p583,c148]) ).

cnf(c147,plain,
    sk4 = sum(sum(pred(sk2),succ(sk3)),sum(pred(sk3),succ(sk2))),
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(p589,plain,
    ( ~ spl20
    | ~ spl9
    | sk4 = n1 ),
    inference(superposition,[status(thm)],[p583,c147]) ).

fof(sdef23,definition,
    ( spl23
  <=> sk4 != sk5 ),
    introduced(definition,[new_symbols(naming,[spl23])],[avatar_definition]) ).

cnf(p189,plain,
    ( ~ spl23
    | sk4 != sk5 ),
    inference(avatar_component_clause,[status(thm)],[sdef23]) ).

cnf(p591,plain,
    ( ~ spl23
    | ~ spl20
    | ~ spl9
    | n1 != sk5 ),
    inference(superposition,[status(thm)],[p589,p189]) ).

cnf(p593,plain,
    ( ~ spl23
    | ~ spl20
    | ~ spl9
    | n1 != n1 ),
    inference(demodulation,[status(thm)],[p592,p591]) ).

cnf(p594,plain,
    ( ~ spl23
    | ~ spl20
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p593]) ).

cnf(sct21,plain,
    ( ~ spl23
    | ~ spl20
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p594]) ).

cnf(c150,plain,
    sk7 = sum(sum(pred(sk4),succ(sk4)),sum(pred(sk5),succ(sk5))),
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(p596,plain,
    ( ~ spl20
    | ~ spl9
    | sk7 = n4 ),
    inference(superposition,[status(thm)],[p589,c150]) ).

fof(sdef24,definition,
    ( spl24
  <=> sk6 != sk7 ),
    introduced(definition,[new_symbols(naming,[spl24])],[avatar_definition]) ).

cnf(p190,plain,
    ( ~ spl24
    | sk6 != sk7 ),
    inference(avatar_component_clause,[status(thm)],[sdef24]) ).

cnf(p598,plain,
    ( ~ spl24
    | ~ spl20
    | ~ spl9
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p596,p190]) ).

cnf(p599,plain,
    ( ~ spl24
    | ~ spl20
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p598]) ).

cnf(sct22,plain,
    ( ~ spl24
    | ~ spl20
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p599]) ).

cnf(c149,plain,
    sk6 = sum(sum(pred(sk4),succ(sk5)),sum(pred(sk5),succ(sk4))),
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(p595,plain,
    ( ~ spl20
    | ~ spl9
    | sk6 = n4 ),
    inference(superposition,[status(thm)],[p589,c149]) ).

cnf(c152,plain,
    sk9 = sum(sum(pred(sk6),succ(sk6)),sum(pred(sk7),succ(sk7))),
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(p602,plain,
    ( ~ spl20
    | ~ spl9
    | sk9 = n5 ),
    inference(superposition,[status(thm)],[p595,c152]) ).

cnf(c151,plain,
    sk8 = sum(sum(pred(sk6),succ(sk7)),sum(pred(sk7),succ(sk6))),
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(p600,plain,
    ( ~ spl20
    | ~ spl9
    | sk8 = n5 ),
    inference(superposition,[status(thm)],[p595,c151]) ).

fof(sdef25,definition,
    ( spl25
  <=> sk8 != sk9 ),
    introduced(definition,[new_symbols(naming,[spl25])],[avatar_definition]) ).

cnf(p191,plain,
    ( ~ spl25
    | sk8 != sk9 ),
    inference(avatar_component_clause,[status(thm)],[sdef25]) ).

cnf(p601,plain,
    ( ~ spl25
    | ~ spl20
    | ~ spl9
    | n5 != sk9 ),
    inference(superposition,[status(thm)],[p600,p191]) ).

cnf(p603,plain,
    ( ~ spl25
    | ~ spl20
    | ~ spl9
    | n5 != n5 ),
    inference(demodulation,[status(thm)],[p602,p601]) ).

cnf(p605,plain,
    ( ~ spl25
    | ~ spl20
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p603]) ).

cnf(sct23,plain,
    ( ~ spl25
    | ~ spl20
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p605]) ).

cnf(c154,plain,
    sk11 = sum(sum(pred(sk8),succ(sk8)),sum(pred(sk9),succ(sk9))),
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(p607,plain,
    ( ~ spl20
    | ~ spl9
    | sk11 = n9 ),
    inference(superposition,[status(thm)],[p600,c154]) ).

cnf(c153,plain,
    sk10 = sum(sum(pred(sk8),succ(sk9)),sum(pred(sk9),succ(sk8))),
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(p604,plain,
    ( ~ spl20
    | ~ spl9
    | sk10 = n9 ),
    inference(superposition,[status(thm)],[p600,c153]) ).

fof(sdef26,definition,
    ( spl26
  <=> sk10 != sk11 ),
    introduced(definition,[new_symbols(naming,[spl26])],[avatar_definition]) ).

cnf(p192,plain,
    ( ~ spl26
    | sk10 != sk11 ),
    inference(avatar_component_clause,[status(thm)],[sdef26]) ).

cnf(p606,plain,
    ( ~ spl26
    | ~ spl20
    | ~ spl9
    | n9 != sk11 ),
    inference(superposition,[status(thm)],[p604,p192]) ).

cnf(p608,plain,
    ( ~ spl26
    | ~ spl20
    | ~ spl9
    | n9 != n9 ),
    inference(demodulation,[status(thm)],[p607,p606]) ).

cnf(p612,plain,
    ( ~ spl26
    | ~ spl20
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p608]) ).

cnf(sct24,plain,
    ( ~ spl26
    | ~ spl20
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p612]) ).

cnf(c156,plain,
    sk13 = sum(sum(pred(sk10),succ(sk10)),sum(pred(sk11),succ(sk11))),
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(p614,plain,
    ( ~ spl20
    | ~ spl9
    | sk13 = n3 ),
    inference(superposition,[status(thm)],[p604,c156]) ).

cnf(c155,plain,
    sk12 = sum(sum(pred(sk10),succ(sk11)),sum(pred(sk11),succ(sk10))),
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(p610,plain,
    ( ~ spl20
    | ~ spl9
    | sk12 = n3 ),
    inference(superposition,[status(thm)],[p607,c155]) ).

fof(sdef27,definition,
    ( spl27
  <=> sk12 != sk13 ),
    introduced(definition,[new_symbols(naming,[spl27])],[avatar_definition]) ).

cnf(p193,plain,
    ( ~ spl27
    | sk12 != sk13 ),
    inference(avatar_component_clause,[status(thm)],[sdef27]) ).

cnf(p613,plain,
    ( ~ spl27
    | ~ spl20
    | ~ spl9
    | n3 != sk13 ),
    inference(superposition,[status(thm)],[p610,p193]) ).

cnf(p615,plain,
    ( ~ spl27
    | ~ spl20
    | ~ spl9
    | n3 != n3 ),
    inference(demodulation,[status(thm)],[p614,p613]) ).

cnf(p616,plain,
    ( ~ spl27
    | ~ spl20
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p615]) ).

cnf(sct25,plain,
    ( ~ spl27
    | ~ spl20
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p616]) ).

cnf(c158,plain,
    sk15 = sum(sum(pred(sk12),succ(sk12)),sum(pred(sk13),succ(sk13))),
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(p618,plain,
    ( ~ spl20
    | ~ spl9
    | sk15 = n1 ),
    inference(superposition,[status(thm)],[p610,c158]) ).

fof(sdef28,definition,
    ( spl28
  <=> sk14 != sk15 ),
    introduced(definition,[new_symbols(naming,[spl28])],[avatar_definition]) ).

cnf(p194,plain,
    ( ~ spl28
    | sk14 != sk15 ),
    inference(avatar_component_clause,[status(thm)],[sdef28]) ).

cnf(p620,plain,
    ( ~ spl28
    | ~ spl20
    | ~ spl9
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p618,p194]) ).

cnf(p621,plain,
    ( ~ spl28
    | ~ spl20
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p620]) ).

cnf(sct26,plain,
    ( ~ spl28
    | ~ spl20
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p621]) ).

cnf(c157,plain,
    sk14 = sum(sum(pred(sk12),succ(sk13)),sum(pred(sk13),succ(sk12))),
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(p617,plain,
    ( ~ spl20
    | ~ spl9
    | sk14 = n1 ),
    inference(superposition,[status(thm)],[p610,c157]) ).

cnf(c160,plain,
    sk17 = sum(sum(pred(sk14),succ(sk14)),sum(pred(sk15),succ(sk15))),
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(p624,plain,
    ( ~ spl20
    | ~ spl9
    | sk17 = n4 ),
    inference(superposition,[status(thm)],[p617,c160]) ).

cnf(c159,plain,
    sk16 = sum(sum(pred(sk14),succ(sk15)),sum(pred(sk15),succ(sk14))),
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(p622,plain,
    ( ~ spl20
    | ~ spl9
    | sk16 = n4 ),
    inference(superposition,[status(thm)],[p617,c159]) ).

fof(sdef29,definition,
    ( spl29
  <=> sk16 != sk17 ),
    introduced(definition,[new_symbols(naming,[spl29])],[avatar_definition]) ).

cnf(p195,plain,
    ( ~ spl29
    | sk16 != sk17 ),
    inference(avatar_component_clause,[status(thm)],[sdef29]) ).

cnf(p623,plain,
    ( ~ spl29
    | ~ spl20
    | ~ spl9
    | n4 != sk17 ),
    inference(superposition,[status(thm)],[p622,p195]) ).

cnf(p625,plain,
    ( ~ spl29
    | ~ spl20
    | ~ spl9
    | n4 != n4 ),
    inference(demodulation,[status(thm)],[p624,p623]) ).

cnf(p627,plain,
    ( ~ spl29
    | ~ spl20
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p625]) ).

cnf(sct27,plain,
    ( ~ spl29
    | ~ spl20
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p627]) ).

cnf(c162,plain,
    sk19 = sum(sum(pred(sk16),succ(sk16)),sum(pred(sk17),succ(sk17))),
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(p629,plain,
    ( ~ spl20
    | ~ spl9
    | sk19 = n5 ),
    inference(superposition,[status(thm)],[p622,c162]) ).

cnf(c161,plain,
    sk18 = sum(sum(pred(sk16),succ(sk17)),sum(pred(sk17),succ(sk16))),
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(p626,plain,
    ( ~ spl20
    | ~ spl9
    | sk18 = n5 ),
    inference(superposition,[status(thm)],[p622,c161]) ).

fof(sdef30,definition,
    ( spl30
  <=> sk18 != sk19 ),
    introduced(definition,[new_symbols(naming,[spl30])],[avatar_definition]) ).

cnf(p196,plain,
    ( ~ spl30
    | sk18 != sk19 ),
    inference(avatar_component_clause,[status(thm)],[sdef30]) ).

cnf(p628,plain,
    ( ~ spl30
    | ~ spl20
    | ~ spl9
    | n5 != sk19 ),
    inference(superposition,[status(thm)],[p626,p196]) ).

cnf(p630,plain,
    ( ~ spl30
    | ~ spl20
    | ~ spl9
    | n5 != n5 ),
    inference(demodulation,[status(thm)],[p629,p628]) ).

cnf(p634,plain,
    ( ~ spl30
    | ~ spl20
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p630]) ).

cnf(sct28,plain,
    ( ~ spl30
    | ~ spl20
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p634]) ).

cnf(c164,plain,
    sk21 = sum(sum(pred(sk18),succ(sk18)),sum(pred(sk19),succ(sk19))),
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(p636,plain,
    ( ~ spl20
    | ~ spl9
    | sk21 = n9 ),
    inference(superposition,[status(thm)],[p626,c164]) ).

cnf(c163,plain,
    sk20 = sum(sum(pred(sk18),succ(sk19)),sum(pred(sk19),succ(sk18))),
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(p632,plain,
    ( ~ spl20
    | ~ spl9
    | sk20 = n9 ),
    inference(superposition,[status(thm)],[p629,c163]) ).

fof(sdef31,definition,
    ( spl31
  <=> sk20 != sk21 ),
    introduced(definition,[new_symbols(naming,[spl31])],[avatar_definition]) ).

cnf(p197,plain,
    ( ~ spl31
    | sk20 != sk21 ),
    inference(avatar_component_clause,[status(thm)],[sdef31]) ).

cnf(p635,plain,
    ( ~ spl31
    | ~ spl20
    | ~ spl9
    | n9 != sk21 ),
    inference(superposition,[status(thm)],[p632,p197]) ).

cnf(p637,plain,
    ( ~ spl31
    | ~ spl20
    | ~ spl9
    | n9 != n9 ),
    inference(demodulation,[status(thm)],[p636,p635]) ).

cnf(p638,plain,
    ( ~ spl31
    | ~ spl20
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p637]) ).

cnf(sct29,plain,
    ( ~ spl31
    | ~ spl20
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p638]) ).

cnf(p642,plain,
    ( ~ spl21
    | ~ spl9
    | sk3 = n5 ),
    inference(superposition,[status(thm)],[p166,p584]) ).

cnf(p646,plain,
    ( ~ spl22
    | ~ spl21
    | ~ spl9
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p642,p188]) ).

cnf(p651,plain,
    ( ~ spl22
    | ~ spl21
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p646]) ).

cnf(sct30,plain,
    ( ~ spl22
    | ~ spl21
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p651]) ).

cnf(p649,plain,
    ( ~ spl21
    | ~ spl9
    | sk5 = n9 ),
    inference(superposition,[status(thm)],[p642,c148]) ).

cnf(p655,plain,
    ( ~ spl23
    | ~ spl21
    | ~ spl9
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p649,p189]) ).

cnf(p660,plain,
    ( ~ spl23
    | ~ spl21
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p655]) ).

cnf(sct31,plain,
    ( ~ spl23
    | ~ spl21
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p660]) ).

cnf(p658,plain,
    ( ~ spl21
    | ~ spl9
    | sk7 = n3 ),
    inference(superposition,[status(thm)],[p649,c150]) ).

cnf(p664,plain,
    ( ~ spl24
    | ~ spl21
    | ~ spl9
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p658,p190]) ).

cnf(p669,plain,
    ( ~ spl24
    | ~ spl21
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p664]) ).

cnf(sct32,plain,
    ( ~ spl24
    | ~ spl21
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p669]) ).

cnf(p667,plain,
    ( ~ spl21
    | ~ spl9
    | sk9 = n1 ),
    inference(superposition,[status(thm)],[p658,c152]) ).

cnf(p673,plain,
    ( ~ spl25
    | ~ spl21
    | ~ spl9
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p667,p191]) ).

cnf(p678,plain,
    ( ~ spl25
    | ~ spl21
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p673]) ).

cnf(sct33,plain,
    ( ~ spl25
    | ~ spl21
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p678]) ).

cnf(p676,plain,
    ( ~ spl21
    | ~ spl9
    | sk11 = n4 ),
    inference(superposition,[status(thm)],[p667,c154]) ).

cnf(p682,plain,
    ( ~ spl26
    | ~ spl21
    | ~ spl9
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p676,p192]) ).

cnf(p687,plain,
    ( ~ spl26
    | ~ spl21
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p682]) ).

cnf(sct34,plain,
    ( ~ spl26
    | ~ spl21
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p687]) ).

cnf(p685,plain,
    ( ~ spl21
    | ~ spl9
    | sk13 = n5 ),
    inference(superposition,[status(thm)],[p676,c156]) ).

cnf(p691,plain,
    ( ~ spl27
    | ~ spl21
    | ~ spl9
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p685,p193]) ).

cnf(p696,plain,
    ( ~ spl27
    | ~ spl21
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p691]) ).

cnf(sct35,plain,
    ( ~ spl27
    | ~ spl21
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p696]) ).

cnf(p694,plain,
    ( ~ spl21
    | ~ spl9
    | sk15 = n9 ),
    inference(superposition,[status(thm)],[p685,c158]) ).

cnf(p700,plain,
    ( ~ spl28
    | ~ spl21
    | ~ spl9
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p694,p194]) ).

cnf(p705,plain,
    ( ~ spl28
    | ~ spl21
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p700]) ).

cnf(sct36,plain,
    ( ~ spl28
    | ~ spl21
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p705]) ).

cnf(p703,plain,
    ( ~ spl21
    | ~ spl9
    | sk17 = n3 ),
    inference(superposition,[status(thm)],[p694,c160]) ).

cnf(p709,plain,
    ( ~ spl29
    | ~ spl21
    | ~ spl9
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p703,p195]) ).

cnf(p714,plain,
    ( ~ spl29
    | ~ spl21
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p709]) ).

cnf(sct37,plain,
    ( ~ spl29
    | ~ spl21
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p714]) ).

cnf(p712,plain,
    ( ~ spl21
    | ~ spl9
    | sk19 = n1 ),
    inference(superposition,[status(thm)],[p703,c162]) ).

cnf(p718,plain,
    ( ~ spl30
    | ~ spl21
    | ~ spl9
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p712,p196]) ).

cnf(p723,plain,
    ( ~ spl30
    | ~ spl21
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p718]) ).

cnf(sct38,plain,
    ( ~ spl30
    | ~ spl21
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p723]) ).

cnf(p721,plain,
    ( ~ spl21
    | ~ spl9
    | sk21 = n4 ),
    inference(superposition,[status(thm)],[p712,c164]) ).

cnf(p725,plain,
    ( ~ spl31
    | ~ spl21
    | ~ spl9
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p721,p197]) ).

cnf(p726,plain,
    ( ~ spl31
    | ~ spl21
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p725]) ).

cnf(sct39,plain,
    ( ~ spl31
    | ~ spl21
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p726]) ).

cnf(p730,plain,
    ( ~ spl19
    | ~ spl9
    | sk3 = n1 ),
    inference(superposition,[status(thm)],[p164,p584]) ).

cnf(p734,plain,
    ( ~ spl22
    | ~ spl19
    | ~ spl9
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p730,p188]) ).

cnf(p739,plain,
    ( ~ spl22
    | ~ spl19
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p734]) ).

cnf(sct40,plain,
    ( ~ spl22
    | ~ spl19
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p739]) ).

cnf(p737,plain,
    ( ~ spl19
    | ~ spl9
    | sk5 = n4 ),
    inference(superposition,[status(thm)],[p730,c148]) ).

cnf(p743,plain,
    ( ~ spl23
    | ~ spl19
    | ~ spl9
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p737,p189]) ).

cnf(p748,plain,
    ( ~ spl23
    | ~ spl19
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p743]) ).

cnf(sct41,plain,
    ( ~ spl23
    | ~ spl19
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p748]) ).

cnf(p746,plain,
    ( ~ spl19
    | ~ spl9
    | sk7 = n5 ),
    inference(superposition,[status(thm)],[p737,c150]) ).

cnf(p752,plain,
    ( ~ spl24
    | ~ spl19
    | ~ spl9
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p746,p190]) ).

cnf(p757,plain,
    ( ~ spl24
    | ~ spl19
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p752]) ).

cnf(sct42,plain,
    ( ~ spl24
    | ~ spl19
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p757]) ).

cnf(p755,plain,
    ( ~ spl19
    | ~ spl9
    | sk9 = n9 ),
    inference(superposition,[status(thm)],[p746,c152]) ).

cnf(p761,plain,
    ( ~ spl25
    | ~ spl19
    | ~ spl9
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p755,p191]) ).

cnf(p766,plain,
    ( ~ spl25
    | ~ spl19
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p761]) ).

cnf(sct43,plain,
    ( ~ spl25
    | ~ spl19
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p766]) ).

cnf(p764,plain,
    ( ~ spl19
    | ~ spl9
    | sk11 = n3 ),
    inference(superposition,[status(thm)],[p755,c154]) ).

cnf(p770,plain,
    ( ~ spl26
    | ~ spl19
    | ~ spl9
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p764,p192]) ).

cnf(p775,plain,
    ( ~ spl26
    | ~ spl19
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p770]) ).

cnf(sct44,plain,
    ( ~ spl26
    | ~ spl19
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p775]) ).

cnf(p773,plain,
    ( ~ spl19
    | ~ spl9
    | sk13 = n1 ),
    inference(superposition,[status(thm)],[p764,c156]) ).

cnf(p779,plain,
    ( ~ spl27
    | ~ spl19
    | ~ spl9
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p773,p193]) ).

cnf(p784,plain,
    ( ~ spl27
    | ~ spl19
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p779]) ).

cnf(sct45,plain,
    ( ~ spl27
    | ~ spl19
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p784]) ).

cnf(p782,plain,
    ( ~ spl19
    | ~ spl9
    | sk15 = n4 ),
    inference(superposition,[status(thm)],[p773,c158]) ).

cnf(p788,plain,
    ( ~ spl28
    | ~ spl19
    | ~ spl9
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p782,p194]) ).

cnf(p793,plain,
    ( ~ spl28
    | ~ spl19
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p788]) ).

cnf(sct46,plain,
    ( ~ spl28
    | ~ spl19
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p793]) ).

cnf(p791,plain,
    ( ~ spl19
    | ~ spl9
    | sk17 = n5 ),
    inference(superposition,[status(thm)],[p782,c160]) ).

cnf(p797,plain,
    ( ~ spl29
    | ~ spl19
    | ~ spl9
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p791,p195]) ).

cnf(p802,plain,
    ( ~ spl29
    | ~ spl19
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p797]) ).

cnf(sct47,plain,
    ( ~ spl29
    | ~ spl19
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p802]) ).

cnf(p800,plain,
    ( ~ spl19
    | ~ spl9
    | sk19 = n9 ),
    inference(superposition,[status(thm)],[p791,c162]) ).

cnf(p806,plain,
    ( ~ spl30
    | ~ spl19
    | ~ spl9
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p800,p196]) ).

cnf(p811,plain,
    ( ~ spl30
    | ~ spl19
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p806]) ).

cnf(sct48,plain,
    ( ~ spl30
    | ~ spl19
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p811]) ).

cnf(p809,plain,
    ( ~ spl19
    | ~ spl9
    | sk21 = n3 ),
    inference(superposition,[status(thm)],[p800,c164]) ).

cnf(p813,plain,
    ( ~ spl31
    | ~ spl19
    | ~ spl9
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p809,p197]) ).

cnf(p814,plain,
    ( ~ spl31
    | ~ spl19
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p813]) ).

cnf(sct49,plain,
    ( ~ spl31
    | ~ spl19
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p814]) ).

cnf(p818,plain,
    ( ~ spl18
    | ~ spl9
    | sk3 = n10 ),
    inference(superposition,[status(thm)],[p163,p584]) ).

cnf(p822,plain,
    ( ~ spl22
    | ~ spl18
    | ~ spl9
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p818,p188]) ).

cnf(p827,plain,
    ( ~ spl22
    | ~ spl18
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p822]) ).

cnf(sct50,plain,
    ( ~ spl22
    | ~ spl18
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p827]) ).

cnf(p825,plain,
    ( ~ spl18
    | ~ spl9
    | sk5 = n7 ),
    inference(superposition,[status(thm)],[p818,c148]) ).

cnf(p831,plain,
    ( ~ spl23
    | ~ spl18
    | ~ spl9
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p825,p189]) ).

cnf(p836,plain,
    ( ~ spl23
    | ~ spl18
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p831]) ).

cnf(sct51,plain,
    ( ~ spl23
    | ~ spl18
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p836]) ).

cnf(p834,plain,
    ( ~ spl18
    | ~ spl9
    | sk7 = n6 ),
    inference(superposition,[status(thm)],[p825,c150]) ).

cnf(p840,plain,
    ( ~ spl24
    | ~ spl18
    | ~ spl9
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p834,p190]) ).

cnf(p845,plain,
    ( ~ spl24
    | ~ spl18
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p840]) ).

cnf(sct52,plain,
    ( ~ spl24
    | ~ spl18
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p845]) ).

cnf(p843,plain,
    ( ~ spl18
    | ~ spl9
    | sk9 = n2 ),
    inference(superposition,[status(thm)],[p834,c152]) ).

cnf(p849,plain,
    ( ~ spl25
    | ~ spl18
    | ~ spl9
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p843,p191]) ).

cnf(p854,plain,
    ( ~ spl25
    | ~ spl18
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p849]) ).

cnf(sct53,plain,
    ( ~ spl25
    | ~ spl18
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p854]) ).

cnf(p852,plain,
    ( ~ spl18
    | ~ spl9
    | sk11 = n8 ),
    inference(superposition,[status(thm)],[p843,c154]) ).

cnf(p858,plain,
    ( ~ spl26
    | ~ spl18
    | ~ spl9
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p852,p192]) ).

cnf(p863,plain,
    ( ~ spl26
    | ~ spl18
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p858]) ).

cnf(sct54,plain,
    ( ~ spl26
    | ~ spl18
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p863]) ).

cnf(p861,plain,
    ( ~ spl18
    | ~ spl9
    | sk13 = n10 ),
    inference(superposition,[status(thm)],[p852,c156]) ).

cnf(p867,plain,
    ( ~ spl27
    | ~ spl18
    | ~ spl9
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p861,p193]) ).

cnf(p872,plain,
    ( ~ spl27
    | ~ spl18
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p867]) ).

cnf(sct55,plain,
    ( ~ spl27
    | ~ spl18
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p872]) ).

cnf(p870,plain,
    ( ~ spl18
    | ~ spl9
    | sk15 = n7 ),
    inference(superposition,[status(thm)],[p861,c158]) ).

cnf(p876,plain,
    ( ~ spl28
    | ~ spl18
    | ~ spl9
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p870,p194]) ).

cnf(p881,plain,
    ( ~ spl28
    | ~ spl18
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p876]) ).

cnf(sct56,plain,
    ( ~ spl28
    | ~ spl18
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p881]) ).

cnf(p879,plain,
    ( ~ spl18
    | ~ spl9
    | sk17 = n6 ),
    inference(superposition,[status(thm)],[p870,c160]) ).

cnf(p885,plain,
    ( ~ spl29
    | ~ spl18
    | ~ spl9
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p879,p195]) ).

cnf(p890,plain,
    ( ~ spl29
    | ~ spl18
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p885]) ).

cnf(sct57,plain,
    ( ~ spl29
    | ~ spl18
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p890]) ).

cnf(p888,plain,
    ( ~ spl18
    | ~ spl9
    | sk19 = n2 ),
    inference(superposition,[status(thm)],[p879,c162]) ).

cnf(p894,plain,
    ( ~ spl30
    | ~ spl18
    | ~ spl9
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p888,p196]) ).

cnf(p899,plain,
    ( ~ spl30
    | ~ spl18
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p894]) ).

cnf(sct58,plain,
    ( ~ spl30
    | ~ spl18
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p899]) ).

cnf(p897,plain,
    ( ~ spl18
    | ~ spl9
    | sk21 = n8 ),
    inference(superposition,[status(thm)],[p888,c164]) ).

cnf(p901,plain,
    ( ~ spl31
    | ~ spl18
    | ~ spl9
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p897,p197]) ).

cnf(p902,plain,
    ( ~ spl31
    | ~ spl18
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p901]) ).

cnf(sct59,plain,
    ( ~ spl31
    | ~ spl18
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p902]) ).

cnf(p906,plain,
    ( ~ spl17
    | ~ spl9
    | sk3 = n8 ),
    inference(superposition,[status(thm)],[p162,p584]) ).

cnf(p910,plain,
    ( ~ spl22
    | ~ spl17
    | ~ spl9
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p906,p188]) ).

cnf(p915,plain,
    ( ~ spl22
    | ~ spl17
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p910]) ).

cnf(sct60,plain,
    ( ~ spl22
    | ~ spl17
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p915]) ).

cnf(p913,plain,
    ( ~ spl17
    | ~ spl9
    | sk5 = n10 ),
    inference(superposition,[status(thm)],[p906,c148]) ).

cnf(p919,plain,
    ( ~ spl23
    | ~ spl17
    | ~ spl9
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p913,p189]) ).

cnf(p924,plain,
    ( ~ spl23
    | ~ spl17
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p919]) ).

cnf(sct61,plain,
    ( ~ spl23
    | ~ spl17
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p924]) ).

cnf(p922,plain,
    ( ~ spl17
    | ~ spl9
    | sk7 = n7 ),
    inference(superposition,[status(thm)],[p913,c150]) ).

cnf(p928,plain,
    ( ~ spl24
    | ~ spl17
    | ~ spl9
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p922,p190]) ).

cnf(p933,plain,
    ( ~ spl24
    | ~ spl17
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p928]) ).

cnf(sct62,plain,
    ( ~ spl24
    | ~ spl17
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p933]) ).

cnf(p931,plain,
    ( ~ spl17
    | ~ spl9
    | sk9 = n6 ),
    inference(superposition,[status(thm)],[p922,c152]) ).

cnf(p937,plain,
    ( ~ spl25
    | ~ spl17
    | ~ spl9
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p931,p191]) ).

cnf(p942,plain,
    ( ~ spl25
    | ~ spl17
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p937]) ).

cnf(sct63,plain,
    ( ~ spl25
    | ~ spl17
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p942]) ).

cnf(p940,plain,
    ( ~ spl17
    | ~ spl9
    | sk11 = n2 ),
    inference(superposition,[status(thm)],[p931,c154]) ).

cnf(p946,plain,
    ( ~ spl26
    | ~ spl17
    | ~ spl9
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p940,p192]) ).

cnf(p951,plain,
    ( ~ spl26
    | ~ spl17
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p946]) ).

cnf(sct64,plain,
    ( ~ spl26
    | ~ spl17
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p951]) ).

cnf(p949,plain,
    ( ~ spl17
    | ~ spl9
    | sk13 = n8 ),
    inference(superposition,[status(thm)],[p940,c156]) ).

cnf(p955,plain,
    ( ~ spl27
    | ~ spl17
    | ~ spl9
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p949,p193]) ).

cnf(p960,plain,
    ( ~ spl27
    | ~ spl17
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p955]) ).

cnf(sct65,plain,
    ( ~ spl27
    | ~ spl17
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p960]) ).

cnf(p958,plain,
    ( ~ spl17
    | ~ spl9
    | sk15 = n10 ),
    inference(superposition,[status(thm)],[p949,c158]) ).

cnf(p964,plain,
    ( ~ spl28
    | ~ spl17
    | ~ spl9
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p958,p194]) ).

cnf(p969,plain,
    ( ~ spl28
    | ~ spl17
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p964]) ).

cnf(sct66,plain,
    ( ~ spl28
    | ~ spl17
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p969]) ).

cnf(p967,plain,
    ( ~ spl17
    | ~ spl9
    | sk17 = n7 ),
    inference(superposition,[status(thm)],[p958,c160]) ).

cnf(p973,plain,
    ( ~ spl29
    | ~ spl17
    | ~ spl9
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p967,p195]) ).

cnf(p978,plain,
    ( ~ spl29
    | ~ spl17
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p973]) ).

cnf(sct67,plain,
    ( ~ spl29
    | ~ spl17
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p978]) ).

cnf(p976,plain,
    ( ~ spl17
    | ~ spl9
    | sk19 = n6 ),
    inference(superposition,[status(thm)],[p967,c162]) ).

cnf(p982,plain,
    ( ~ spl30
    | ~ spl17
    | ~ spl9
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p976,p196]) ).

cnf(p987,plain,
    ( ~ spl30
    | ~ spl17
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p982]) ).

cnf(sct68,plain,
    ( ~ spl30
    | ~ spl17
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p987]) ).

cnf(p985,plain,
    ( ~ spl17
    | ~ spl9
    | sk21 = n2 ),
    inference(superposition,[status(thm)],[p976,c164]) ).

cnf(p989,plain,
    ( ~ spl31
    | ~ spl17
    | ~ spl9
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p985,p197]) ).

cnf(p990,plain,
    ( ~ spl31
    | ~ spl17
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p989]) ).

cnf(sct69,plain,
    ( ~ spl31
    | ~ spl17
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p990]) ).

cnf(p994,plain,
    ( ~ spl16
    | ~ spl9
    | sk3 = n6 ),
    inference(superposition,[status(thm)],[p161,p584]) ).

cnf(p998,plain,
    ( ~ spl22
    | ~ spl16
    | ~ spl9
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p994,p188]) ).

cnf(p1003,plain,
    ( ~ spl22
    | ~ spl16
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p998]) ).

cnf(sct70,plain,
    ( ~ spl22
    | ~ spl16
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1003]) ).

cnf(p1001,plain,
    ( ~ spl16
    | ~ spl9
    | sk5 = n2 ),
    inference(superposition,[status(thm)],[p994,c148]) ).

cnf(p1007,plain,
    ( ~ spl23
    | ~ spl16
    | ~ spl9
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p1001,p189]) ).

cnf(p1012,plain,
    ( ~ spl23
    | ~ spl16
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1007]) ).

cnf(sct71,plain,
    ( ~ spl23
    | ~ spl16
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1012]) ).

cnf(p1010,plain,
    ( ~ spl16
    | ~ spl9
    | sk7 = n8 ),
    inference(superposition,[status(thm)],[p1001,c150]) ).

cnf(p1016,plain,
    ( ~ spl24
    | ~ spl16
    | ~ spl9
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p1010,p190]) ).

cnf(p1021,plain,
    ( ~ spl24
    | ~ spl16
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1016]) ).

cnf(sct72,plain,
    ( ~ spl24
    | ~ spl16
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1021]) ).

cnf(p1019,plain,
    ( ~ spl16
    | ~ spl9
    | sk9 = n10 ),
    inference(superposition,[status(thm)],[p1010,c152]) ).

cnf(p1025,plain,
    ( ~ spl25
    | ~ spl16
    | ~ spl9
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p1019,p191]) ).

cnf(p1030,plain,
    ( ~ spl25
    | ~ spl16
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1025]) ).

cnf(sct73,plain,
    ( ~ spl25
    | ~ spl16
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1030]) ).

cnf(p1028,plain,
    ( ~ spl16
    | ~ spl9
    | sk11 = n7 ),
    inference(superposition,[status(thm)],[p1019,c154]) ).

cnf(p1034,plain,
    ( ~ spl26
    | ~ spl16
    | ~ spl9
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p1028,p192]) ).

cnf(p1039,plain,
    ( ~ spl26
    | ~ spl16
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1034]) ).

cnf(sct74,plain,
    ( ~ spl26
    | ~ spl16
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1039]) ).

cnf(p1037,plain,
    ( ~ spl16
    | ~ spl9
    | sk13 = n6 ),
    inference(superposition,[status(thm)],[p1028,c156]) ).

cnf(p1043,plain,
    ( ~ spl27
    | ~ spl16
    | ~ spl9
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p1037,p193]) ).

cnf(p1048,plain,
    ( ~ spl27
    | ~ spl16
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1043]) ).

cnf(sct75,plain,
    ( ~ spl27
    | ~ spl16
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1048]) ).

cnf(p1046,plain,
    ( ~ spl16
    | ~ spl9
    | sk15 = n2 ),
    inference(superposition,[status(thm)],[p1037,c158]) ).

cnf(p1052,plain,
    ( ~ spl28
    | ~ spl16
    | ~ spl9
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p1046,p194]) ).

cnf(p1057,plain,
    ( ~ spl28
    | ~ spl16
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1052]) ).

cnf(sct76,plain,
    ( ~ spl28
    | ~ spl16
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1057]) ).

cnf(p1055,plain,
    ( ~ spl16
    | ~ spl9
    | sk17 = n8 ),
    inference(superposition,[status(thm)],[p1046,c160]) ).

cnf(p1061,plain,
    ( ~ spl29
    | ~ spl16
    | ~ spl9
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p1055,p195]) ).

cnf(p1066,plain,
    ( ~ spl29
    | ~ spl16
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1061]) ).

cnf(sct77,plain,
    ( ~ spl29
    | ~ spl16
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1066]) ).

cnf(p1064,plain,
    ( ~ spl16
    | ~ spl9
    | sk19 = n10 ),
    inference(superposition,[status(thm)],[p1055,c162]) ).

cnf(p1070,plain,
    ( ~ spl30
    | ~ spl16
    | ~ spl9
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p1064,p196]) ).

cnf(p1075,plain,
    ( ~ spl30
    | ~ spl16
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1070]) ).

cnf(sct78,plain,
    ( ~ spl30
    | ~ spl16
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1075]) ).

cnf(p1073,plain,
    ( ~ spl16
    | ~ spl9
    | sk21 = n7 ),
    inference(superposition,[status(thm)],[p1064,c164]) ).

cnf(p1077,plain,
    ( ~ spl31
    | ~ spl16
    | ~ spl9
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p1073,p197]) ).

cnf(p1078,plain,
    ( ~ spl31
    | ~ spl16
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1077]) ).

cnf(sct79,plain,
    ( ~ spl31
    | ~ spl16
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1078]) ).

cnf(p1082,plain,
    ( ~ spl15
    | ~ spl9
    | sk3 = n4 ),
    inference(superposition,[status(thm)],[p160,p584]) ).

cnf(p1086,plain,
    ( ~ spl22
    | ~ spl15
    | ~ spl9
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p1082,p188]) ).

cnf(p1091,plain,
    ( ~ spl22
    | ~ spl15
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1086]) ).

cnf(sct80,plain,
    ( ~ spl22
    | ~ spl15
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1091]) ).

cnf(p1089,plain,
    ( ~ spl15
    | ~ spl9
    | sk5 = n5 ),
    inference(superposition,[status(thm)],[p1082,c148]) ).

cnf(p1095,plain,
    ( ~ spl23
    | ~ spl15
    | ~ spl9
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p1089,p189]) ).

cnf(p1100,plain,
    ( ~ spl23
    | ~ spl15
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1095]) ).

cnf(sct81,plain,
    ( ~ spl23
    | ~ spl15
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1100]) ).

cnf(p1098,plain,
    ( ~ spl15
    | ~ spl9
    | sk7 = n9 ),
    inference(superposition,[status(thm)],[p1089,c150]) ).

cnf(p1104,plain,
    ( ~ spl24
    | ~ spl15
    | ~ spl9
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p1098,p190]) ).

cnf(p1109,plain,
    ( ~ spl24
    | ~ spl15
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1104]) ).

cnf(sct82,plain,
    ( ~ spl24
    | ~ spl15
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1109]) ).

cnf(p1107,plain,
    ( ~ spl15
    | ~ spl9
    | sk9 = n3 ),
    inference(superposition,[status(thm)],[p1098,c152]) ).

cnf(p1113,plain,
    ( ~ spl25
    | ~ spl15
    | ~ spl9
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p1107,p191]) ).

cnf(p1118,plain,
    ( ~ spl25
    | ~ spl15
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1113]) ).

cnf(sct83,plain,
    ( ~ spl25
    | ~ spl15
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1118]) ).

cnf(p1116,plain,
    ( ~ spl15
    | ~ spl9
    | sk11 = n1 ),
    inference(superposition,[status(thm)],[p1107,c154]) ).

cnf(p1122,plain,
    ( ~ spl26
    | ~ spl15
    | ~ spl9
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p1116,p192]) ).

cnf(p1127,plain,
    ( ~ spl26
    | ~ spl15
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1122]) ).

cnf(sct84,plain,
    ( ~ spl26
    | ~ spl15
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1127]) ).

cnf(p1125,plain,
    ( ~ spl15
    | ~ spl9
    | sk13 = n4 ),
    inference(superposition,[status(thm)],[p1116,c156]) ).

cnf(p1131,plain,
    ( ~ spl27
    | ~ spl15
    | ~ spl9
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p1125,p193]) ).

cnf(p1136,plain,
    ( ~ spl27
    | ~ spl15
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1131]) ).

cnf(sct85,plain,
    ( ~ spl27
    | ~ spl15
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1136]) ).

cnf(p1134,plain,
    ( ~ spl15
    | ~ spl9
    | sk15 = n5 ),
    inference(superposition,[status(thm)],[p1125,c158]) ).

cnf(p1140,plain,
    ( ~ spl28
    | ~ spl15
    | ~ spl9
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p1134,p194]) ).

cnf(p1145,plain,
    ( ~ spl28
    | ~ spl15
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1140]) ).

cnf(sct86,plain,
    ( ~ spl28
    | ~ spl15
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1145]) ).

cnf(p1143,plain,
    ( ~ spl15
    | ~ spl9
    | sk17 = n9 ),
    inference(superposition,[status(thm)],[p1134,c160]) ).

cnf(p1149,plain,
    ( ~ spl29
    | ~ spl15
    | ~ spl9
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p1143,p195]) ).

cnf(p1154,plain,
    ( ~ spl29
    | ~ spl15
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1149]) ).

cnf(sct87,plain,
    ( ~ spl29
    | ~ spl15
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1154]) ).

cnf(p1152,plain,
    ( ~ spl15
    | ~ spl9
    | sk19 = n3 ),
    inference(superposition,[status(thm)],[p1143,c162]) ).

cnf(p1158,plain,
    ( ~ spl30
    | ~ spl15
    | ~ spl9
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p1152,p196]) ).

cnf(p1163,plain,
    ( ~ spl30
    | ~ spl15
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1158]) ).

cnf(sct88,plain,
    ( ~ spl30
    | ~ spl15
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1163]) ).

cnf(p1161,plain,
    ( ~ spl15
    | ~ spl9
    | sk21 = n1 ),
    inference(superposition,[status(thm)],[p1152,c164]) ).

cnf(p1165,plain,
    ( ~ spl31
    | ~ spl15
    | ~ spl9
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p1161,p197]) ).

cnf(p1166,plain,
    ( ~ spl31
    | ~ spl15
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1165]) ).

cnf(sct89,plain,
    ( ~ spl31
    | ~ spl15
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1166]) ).

cnf(p1170,plain,
    ( ~ spl14
    | ~ spl9
    | sk3 = n2 ),
    inference(superposition,[status(thm)],[p159,p584]) ).

cnf(p1174,plain,
    ( ~ spl22
    | ~ spl14
    | ~ spl9
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p1170,p188]) ).

cnf(p1179,plain,
    ( ~ spl22
    | ~ spl14
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1174]) ).

cnf(sct90,plain,
    ( ~ spl22
    | ~ spl14
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1179]) ).

cnf(p1177,plain,
    ( ~ spl14
    | ~ spl9
    | sk5 = n8 ),
    inference(superposition,[status(thm)],[p1170,c148]) ).

cnf(p1183,plain,
    ( ~ spl23
    | ~ spl14
    | ~ spl9
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p1177,p189]) ).

cnf(p1188,plain,
    ( ~ spl23
    | ~ spl14
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1183]) ).

cnf(sct91,plain,
    ( ~ spl23
    | ~ spl14
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1188]) ).

cnf(p1186,plain,
    ( ~ spl14
    | ~ spl9
    | sk7 = n10 ),
    inference(superposition,[status(thm)],[p1177,c150]) ).

cnf(p1192,plain,
    ( ~ spl24
    | ~ spl14
    | ~ spl9
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p1186,p190]) ).

cnf(p1197,plain,
    ( ~ spl24
    | ~ spl14
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1192]) ).

cnf(sct92,plain,
    ( ~ spl24
    | ~ spl14
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1197]) ).

cnf(p1195,plain,
    ( ~ spl14
    | ~ spl9
    | sk9 = n7 ),
    inference(superposition,[status(thm)],[p1186,c152]) ).

cnf(p1201,plain,
    ( ~ spl25
    | ~ spl14
    | ~ spl9
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p1195,p191]) ).

cnf(p1206,plain,
    ( ~ spl25
    | ~ spl14
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1201]) ).

cnf(sct93,plain,
    ( ~ spl25
    | ~ spl14
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1206]) ).

cnf(p1204,plain,
    ( ~ spl14
    | ~ spl9
    | sk11 = n6 ),
    inference(superposition,[status(thm)],[p1195,c154]) ).

cnf(p1210,plain,
    ( ~ spl26
    | ~ spl14
    | ~ spl9
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p1204,p192]) ).

cnf(p1215,plain,
    ( ~ spl26
    | ~ spl14
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1210]) ).

cnf(sct94,plain,
    ( ~ spl26
    | ~ spl14
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1215]) ).

cnf(p1213,plain,
    ( ~ spl14
    | ~ spl9
    | sk13 = n2 ),
    inference(superposition,[status(thm)],[p1204,c156]) ).

cnf(p1219,plain,
    ( ~ spl27
    | ~ spl14
    | ~ spl9
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p1213,p193]) ).

cnf(p1224,plain,
    ( ~ spl27
    | ~ spl14
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1219]) ).

cnf(sct95,plain,
    ( ~ spl27
    | ~ spl14
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1224]) ).

cnf(p1222,plain,
    ( ~ spl14
    | ~ spl9
    | sk15 = n8 ),
    inference(superposition,[status(thm)],[p1213,c158]) ).

cnf(p1228,plain,
    ( ~ spl28
    | ~ spl14
    | ~ spl9
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p1222,p194]) ).

cnf(p1233,plain,
    ( ~ spl28
    | ~ spl14
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1228]) ).

cnf(sct96,plain,
    ( ~ spl28
    | ~ spl14
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1233]) ).

cnf(p1231,plain,
    ( ~ spl14
    | ~ spl9
    | sk17 = n10 ),
    inference(superposition,[status(thm)],[p1222,c160]) ).

cnf(p1237,plain,
    ( ~ spl29
    | ~ spl14
    | ~ spl9
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p1231,p195]) ).

cnf(p1242,plain,
    ( ~ spl29
    | ~ spl14
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1237]) ).

cnf(sct97,plain,
    ( ~ spl29
    | ~ spl14
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1242]) ).

cnf(p1240,plain,
    ( ~ spl14
    | ~ spl9
    | sk19 = n7 ),
    inference(superposition,[status(thm)],[p1231,c162]) ).

cnf(p1246,plain,
    ( ~ spl30
    | ~ spl14
    | ~ spl9
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p1240,p196]) ).

cnf(p1251,plain,
    ( ~ spl30
    | ~ spl14
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1246]) ).

cnf(sct98,plain,
    ( ~ spl30
    | ~ spl14
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1251]) ).

cnf(p1249,plain,
    ( ~ spl14
    | ~ spl9
    | sk21 = n6 ),
    inference(superposition,[status(thm)],[p1240,c164]) ).

cnf(p1253,plain,
    ( ~ spl31
    | ~ spl14
    | ~ spl9
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p1249,p197]) ).

cnf(p1254,plain,
    ( ~ spl31
    | ~ spl14
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1253]) ).

cnf(sct99,plain,
    ( ~ spl31
    | ~ spl14
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1254]) ).

cnf(p1258,plain,
    ( ~ spl13
    | ~ spl9
    | sk3 = n0 ),
    inference(superposition,[status(thm)],[p158,p584]) ).

cnf(p1262,plain,
    ( ~ spl22
    | ~ spl13
    | ~ spl9
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p1258,p188]) ).

cnf(p1267,plain,
    ( ~ spl22
    | ~ spl13
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1262]) ).

cnf(sct100,plain,
    ( ~ spl22
    | ~ spl13
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1267]) ).

cnf(p1265,plain,
    ( ~ spl13
    | ~ spl9
    | sk5 = n0 ),
    inference(superposition,[status(thm)],[p1258,c148]) ).

cnf(p1271,plain,
    ( ~ spl23
    | ~ spl13
    | ~ spl9
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p1265,p189]) ).

cnf(p1276,plain,
    ( ~ spl23
    | ~ spl13
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1271]) ).

cnf(sct101,plain,
    ( ~ spl23
    | ~ spl13
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1276]) ).

cnf(p1274,plain,
    ( ~ spl13
    | ~ spl9
    | sk7 = n0 ),
    inference(superposition,[status(thm)],[p1265,c150]) ).

cnf(p1280,plain,
    ( ~ spl24
    | ~ spl13
    | ~ spl9
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p1274,p190]) ).

cnf(p1285,plain,
    ( ~ spl24
    | ~ spl13
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1280]) ).

cnf(sct102,plain,
    ( ~ spl24
    | ~ spl13
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1285]) ).

cnf(p1283,plain,
    ( ~ spl13
    | ~ spl9
    | sk9 = n0 ),
    inference(superposition,[status(thm)],[p1274,c152]) ).

cnf(p1289,plain,
    ( ~ spl25
    | ~ spl13
    | ~ spl9
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p1283,p191]) ).

cnf(p1294,plain,
    ( ~ spl25
    | ~ spl13
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1289]) ).

cnf(sct103,plain,
    ( ~ spl25
    | ~ spl13
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1294]) ).

cnf(p1292,plain,
    ( ~ spl13
    | ~ spl9
    | sk11 = n0 ),
    inference(superposition,[status(thm)],[p1283,c154]) ).

cnf(p1298,plain,
    ( ~ spl26
    | ~ spl13
    | ~ spl9
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p1292,p192]) ).

cnf(p1303,plain,
    ( ~ spl26
    | ~ spl13
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1298]) ).

cnf(sct104,plain,
    ( ~ spl26
    | ~ spl13
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1303]) ).

cnf(p1301,plain,
    ( ~ spl13
    | ~ spl9
    | sk13 = n0 ),
    inference(superposition,[status(thm)],[p1292,c156]) ).

cnf(p1307,plain,
    ( ~ spl27
    | ~ spl13
    | ~ spl9
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p1301,p193]) ).

cnf(p1312,plain,
    ( ~ spl27
    | ~ spl13
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1307]) ).

cnf(sct105,plain,
    ( ~ spl27
    | ~ spl13
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1312]) ).

cnf(p1310,plain,
    ( ~ spl13
    | ~ spl9
    | sk15 = n0 ),
    inference(superposition,[status(thm)],[p1301,c158]) ).

cnf(p1316,plain,
    ( ~ spl28
    | ~ spl13
    | ~ spl9
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p1310,p194]) ).

cnf(p1321,plain,
    ( ~ spl28
    | ~ spl13
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1316]) ).

cnf(sct106,plain,
    ( ~ spl28
    | ~ spl13
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1321]) ).

cnf(p1319,plain,
    ( ~ spl13
    | ~ spl9
    | sk17 = n0 ),
    inference(superposition,[status(thm)],[p1310,c160]) ).

cnf(p1325,plain,
    ( ~ spl29
    | ~ spl13
    | ~ spl9
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p1319,p195]) ).

cnf(p1330,plain,
    ( ~ spl29
    | ~ spl13
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1325]) ).

cnf(sct107,plain,
    ( ~ spl29
    | ~ spl13
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1330]) ).

cnf(p1328,plain,
    ( ~ spl13
    | ~ spl9
    | sk19 = n0 ),
    inference(superposition,[status(thm)],[p1319,c162]) ).

cnf(p1334,plain,
    ( ~ spl30
    | ~ spl13
    | ~ spl9
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p1328,p196]) ).

cnf(p1339,plain,
    ( ~ spl30
    | ~ spl13
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1334]) ).

cnf(sct108,plain,
    ( ~ spl30
    | ~ spl13
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1339]) ).

cnf(p1337,plain,
    ( ~ spl13
    | ~ spl9
    | sk21 = n0 ),
    inference(superposition,[status(thm)],[p1328,c164]) ).

cnf(p1341,plain,
    ( ~ spl31
    | ~ spl13
    | ~ spl9
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p1337,p197]) ).

cnf(p1342,plain,
    ( ~ spl31
    | ~ spl13
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1341]) ).

cnf(sct109,plain,
    ( ~ spl31
    | ~ spl13
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1342]) ).

cnf(p1346,plain,
    ( ~ spl12
    | ~ spl9
    | sk3 = n9 ),
    inference(superposition,[status(thm)],[p157,p584]) ).

cnf(p1350,plain,
    ( ~ spl22
    | ~ spl12
    | ~ spl9
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p1346,p188]) ).

cnf(p1355,plain,
    ( ~ spl22
    | ~ spl12
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1350]) ).

cnf(sct110,plain,
    ( ~ spl22
    | ~ spl12
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1355]) ).

cnf(p1353,plain,
    ( ~ spl12
    | ~ spl9
    | sk5 = n3 ),
    inference(superposition,[status(thm)],[p1346,c148]) ).

cnf(p1359,plain,
    ( ~ spl23
    | ~ spl12
    | ~ spl9
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p1353,p189]) ).

cnf(p1364,plain,
    ( ~ spl23
    | ~ spl12
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1359]) ).

cnf(sct111,plain,
    ( ~ spl23
    | ~ spl12
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1364]) ).

cnf(p1362,plain,
    ( ~ spl12
    | ~ spl9
    | sk7 = n1 ),
    inference(superposition,[status(thm)],[p1353,c150]) ).

cnf(p1368,plain,
    ( ~ spl24
    | ~ spl12
    | ~ spl9
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p1362,p190]) ).

cnf(p1373,plain,
    ( ~ spl24
    | ~ spl12
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1368]) ).

cnf(sct112,plain,
    ( ~ spl24
    | ~ spl12
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1373]) ).

cnf(p1371,plain,
    ( ~ spl12
    | ~ spl9
    | sk9 = n4 ),
    inference(superposition,[status(thm)],[p1362,c152]) ).

cnf(p1377,plain,
    ( ~ spl25
    | ~ spl12
    | ~ spl9
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p1371,p191]) ).

cnf(p1382,plain,
    ( ~ spl25
    | ~ spl12
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1377]) ).

cnf(sct113,plain,
    ( ~ spl25
    | ~ spl12
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1382]) ).

cnf(p1380,plain,
    ( ~ spl12
    | ~ spl9
    | sk11 = n5 ),
    inference(superposition,[status(thm)],[p1371,c154]) ).

cnf(p1386,plain,
    ( ~ spl26
    | ~ spl12
    | ~ spl9
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p1380,p192]) ).

cnf(p1391,plain,
    ( ~ spl26
    | ~ spl12
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1386]) ).

cnf(sct114,plain,
    ( ~ spl26
    | ~ spl12
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1391]) ).

cnf(p1389,plain,
    ( ~ spl12
    | ~ spl9
    | sk13 = n9 ),
    inference(superposition,[status(thm)],[p1380,c156]) ).

cnf(p1395,plain,
    ( ~ spl27
    | ~ spl12
    | ~ spl9
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p1389,p193]) ).

cnf(p1400,plain,
    ( ~ spl27
    | ~ spl12
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1395]) ).

cnf(sct115,plain,
    ( ~ spl27
    | ~ spl12
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1400]) ).

cnf(p1398,plain,
    ( ~ spl12
    | ~ spl9
    | sk15 = n3 ),
    inference(superposition,[status(thm)],[p1389,c158]) ).

cnf(p1404,plain,
    ( ~ spl28
    | ~ spl12
    | ~ spl9
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p1398,p194]) ).

cnf(p1409,plain,
    ( ~ spl28
    | ~ spl12
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1404]) ).

cnf(sct116,plain,
    ( ~ spl28
    | ~ spl12
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1409]) ).

cnf(p1407,plain,
    ( ~ spl12
    | ~ spl9
    | sk17 = n1 ),
    inference(superposition,[status(thm)],[p1398,c160]) ).

cnf(p1413,plain,
    ( ~ spl29
    | ~ spl12
    | ~ spl9
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p1407,p195]) ).

cnf(p1418,plain,
    ( ~ spl29
    | ~ spl12
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1413]) ).

cnf(sct117,plain,
    ( ~ spl29
    | ~ spl12
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1418]) ).

cnf(p1416,plain,
    ( ~ spl12
    | ~ spl9
    | sk19 = n4 ),
    inference(superposition,[status(thm)],[p1407,c162]) ).

cnf(p1422,plain,
    ( ~ spl30
    | ~ spl12
    | ~ spl9
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p1416,p196]) ).

cnf(p1427,plain,
    ( ~ spl30
    | ~ spl12
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1422]) ).

cnf(sct118,plain,
    ( ~ spl30
    | ~ spl12
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1427]) ).

cnf(p1425,plain,
    ( ~ spl12
    | ~ spl9
    | sk21 = n5 ),
    inference(superposition,[status(thm)],[p1416,c164]) ).

cnf(p1429,plain,
    ( ~ spl31
    | ~ spl12
    | ~ spl9
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p1425,p197]) ).

cnf(p1430,plain,
    ( ~ spl31
    | ~ spl12
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1429]) ).

cnf(sct119,plain,
    ( ~ spl31
    | ~ spl12
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1430]) ).

cnf(p1434,plain,
    ( ~ spl11
    | ~ spl9
    | sk3 = n7 ),
    inference(superposition,[status(thm)],[p156,p584]) ).

cnf(p1438,plain,
    ( ~ spl22
    | ~ spl11
    | ~ spl9
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p1434,p188]) ).

cnf(p1443,plain,
    ( ~ spl22
    | ~ spl11
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1438]) ).

cnf(sct120,plain,
    ( ~ spl22
    | ~ spl11
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1443]) ).

cnf(p1441,plain,
    ( ~ spl11
    | ~ spl9
    | sk5 = n6 ),
    inference(superposition,[status(thm)],[p1434,c148]) ).

cnf(p1447,plain,
    ( ~ spl23
    | ~ spl11
    | ~ spl9
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p1441,p189]) ).

cnf(p1452,plain,
    ( ~ spl23
    | ~ spl11
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1447]) ).

cnf(sct121,plain,
    ( ~ spl23
    | ~ spl11
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1452]) ).

cnf(p1450,plain,
    ( ~ spl11
    | ~ spl9
    | sk7 = n2 ),
    inference(superposition,[status(thm)],[p1441,c150]) ).

cnf(p1456,plain,
    ( ~ spl24
    | ~ spl11
    | ~ spl9
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p1450,p190]) ).

cnf(p1461,plain,
    ( ~ spl24
    | ~ spl11
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1456]) ).

cnf(sct122,plain,
    ( ~ spl24
    | ~ spl11
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1461]) ).

cnf(p1459,plain,
    ( ~ spl11
    | ~ spl9
    | sk9 = n8 ),
    inference(superposition,[status(thm)],[p1450,c152]) ).

cnf(p1465,plain,
    ( ~ spl25
    | ~ spl11
    | ~ spl9
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p1459,p191]) ).

cnf(p1470,plain,
    ( ~ spl25
    | ~ spl11
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1465]) ).

cnf(sct123,plain,
    ( ~ spl25
    | ~ spl11
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1470]) ).

cnf(p1468,plain,
    ( ~ spl11
    | ~ spl9
    | sk11 = n10 ),
    inference(superposition,[status(thm)],[p1459,c154]) ).

cnf(p1474,plain,
    ( ~ spl26
    | ~ spl11
    | ~ spl9
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p1468,p192]) ).

cnf(p1479,plain,
    ( ~ spl26
    | ~ spl11
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1474]) ).

cnf(sct124,plain,
    ( ~ spl26
    | ~ spl11
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1479]) ).

cnf(p1477,plain,
    ( ~ spl11
    | ~ spl9
    | sk13 = n7 ),
    inference(superposition,[status(thm)],[p1468,c156]) ).

cnf(p1483,plain,
    ( ~ spl27
    | ~ spl11
    | ~ spl9
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p1477,p193]) ).

cnf(p1488,plain,
    ( ~ spl27
    | ~ spl11
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1483]) ).

cnf(sct125,plain,
    ( ~ spl27
    | ~ spl11
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1488]) ).

cnf(p1486,plain,
    ( ~ spl11
    | ~ spl9
    | sk15 = n6 ),
    inference(superposition,[status(thm)],[p1477,c158]) ).

cnf(p1492,plain,
    ( ~ spl28
    | ~ spl11
    | ~ spl9
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p1486,p194]) ).

cnf(p1497,plain,
    ( ~ spl28
    | ~ spl11
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1492]) ).

cnf(sct126,plain,
    ( ~ spl28
    | ~ spl11
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1497]) ).

cnf(p1495,plain,
    ( ~ spl11
    | ~ spl9
    | sk17 = n2 ),
    inference(superposition,[status(thm)],[p1486,c160]) ).

cnf(p1501,plain,
    ( ~ spl29
    | ~ spl11
    | ~ spl9
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p1495,p195]) ).

cnf(p1506,plain,
    ( ~ spl29
    | ~ spl11
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1501]) ).

cnf(sct127,plain,
    ( ~ spl29
    | ~ spl11
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1506]) ).

cnf(p1504,plain,
    ( ~ spl11
    | ~ spl9
    | sk19 = n8 ),
    inference(superposition,[status(thm)],[p1495,c162]) ).

cnf(p1510,plain,
    ( ~ spl30
    | ~ spl11
    | ~ spl9
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p1504,p196]) ).

cnf(p1515,plain,
    ( ~ spl30
    | ~ spl11
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1510]) ).

cnf(sct128,plain,
    ( ~ spl30
    | ~ spl11
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1515]) ).

cnf(p1513,plain,
    ( ~ spl11
    | ~ spl9
    | sk21 = n10 ),
    inference(superposition,[status(thm)],[p1504,c164]) ).

cnf(p1517,plain,
    ( ~ spl31
    | ~ spl11
    | ~ spl9
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p1513,p197]) ).

cnf(p1518,plain,
    ( ~ spl31
    | ~ spl11
    | ~ spl9
    | $false ),
    inference(equality_resolution,[status(thm)],[p1517]) ).

cnf(sct129,plain,
    ( ~ spl31
    | ~ spl11
    | ~ spl9 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1518]) ).

cnf(p585,plain,
    ( ~ spl20
    | sk3 = sum(sum(pred(sk0),succ(sk0)),n7) ),
    inference(superposition,[status(thm)],[p165,c146]) ).

cnf(p1521,plain,
    ( ~ spl20
    | ~ spl10
    | sk3 = n5 ),
    inference(superposition,[status(thm)],[p154,p585]) ).

cnf(p1523,plain,
    ( ~ spl22
    | ~ spl20
    | ~ spl10
    | sk2 != n5 ),
    inference(superposition,[status(thm)],[p1521,p188]) ).

cnf(p582,plain,
    ( ~ spl20
    | sk2 = sum(sum(pred(sk0),n10),sum(n8,succ(sk0))) ),
    inference(superposition,[status(thm)],[p165,c145]) ).

cnf(p1522,plain,
    ( ~ spl20
    | ~ spl10
    | sk2 = n5 ),
    inference(superposition,[status(thm)],[p154,p582]) ).

cnf(p1531,plain,
    ( ~ spl22
    | ~ spl20
    | ~ spl10
    | $false ),
    inference(resolution,[status(thm)],[p1523,p1522]) ).

cnf(sct130,plain,
    ( ~ spl22
    | ~ spl20
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1531]) ).

cnf(p1529,plain,
    ( ~ spl20
    | ~ spl10
    | sk5 = n9 ),
    inference(superposition,[status(thm)],[p1522,c148]) ).

cnf(p1535,plain,
    ( ~ spl23
    | ~ spl20
    | ~ spl10
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p1529,p189]) ).

cnf(p1540,plain,
    ( ~ spl23
    | ~ spl20
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p1535]) ).

cnf(sct131,plain,
    ( ~ spl23
    | ~ spl20
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1540]) ).

cnf(p1538,plain,
    ( ~ spl20
    | ~ spl10
    | sk7 = n3 ),
    inference(superposition,[status(thm)],[p1529,c150]) ).

cnf(p1544,plain,
    ( ~ spl24
    | ~ spl20
    | ~ spl10
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p1538,p190]) ).

cnf(p1549,plain,
    ( ~ spl24
    | ~ spl20
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p1544]) ).

cnf(sct132,plain,
    ( ~ spl24
    | ~ spl20
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1549]) ).

cnf(p1547,plain,
    ( ~ spl20
    | ~ spl10
    | sk9 = n1 ),
    inference(superposition,[status(thm)],[p1538,c152]) ).

cnf(p1553,plain,
    ( ~ spl25
    | ~ spl20
    | ~ spl10
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p1547,p191]) ).

cnf(p1558,plain,
    ( ~ spl25
    | ~ spl20
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p1553]) ).

cnf(sct133,plain,
    ( ~ spl25
    | ~ spl20
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1558]) ).

cnf(p1556,plain,
    ( ~ spl20
    | ~ spl10
    | sk11 = n4 ),
    inference(superposition,[status(thm)],[p1547,c154]) ).

cnf(p1562,plain,
    ( ~ spl26
    | ~ spl20
    | ~ spl10
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p1556,p192]) ).

cnf(p1567,plain,
    ( ~ spl26
    | ~ spl20
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p1562]) ).

cnf(sct134,plain,
    ( ~ spl26
    | ~ spl20
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1567]) ).

cnf(p1565,plain,
    ( ~ spl20
    | ~ spl10
    | sk13 = n5 ),
    inference(superposition,[status(thm)],[p1556,c156]) ).

cnf(p1571,plain,
    ( ~ spl27
    | ~ spl20
    | ~ spl10
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p1565,p193]) ).

cnf(p1576,plain,
    ( ~ spl27
    | ~ spl20
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p1571]) ).

cnf(sct135,plain,
    ( ~ spl27
    | ~ spl20
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1576]) ).

cnf(p1574,plain,
    ( ~ spl20
    | ~ spl10
    | sk15 = n9 ),
    inference(superposition,[status(thm)],[p1565,c158]) ).

cnf(p1580,plain,
    ( ~ spl28
    | ~ spl20
    | ~ spl10
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p1574,p194]) ).

cnf(p1585,plain,
    ( ~ spl28
    | ~ spl20
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p1580]) ).

cnf(sct136,plain,
    ( ~ spl28
    | ~ spl20
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1585]) ).

cnf(p1583,plain,
    ( ~ spl20
    | ~ spl10
    | sk17 = n3 ),
    inference(superposition,[status(thm)],[p1574,c160]) ).

cnf(p1589,plain,
    ( ~ spl29
    | ~ spl20
    | ~ spl10
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p1583,p195]) ).

cnf(p1594,plain,
    ( ~ spl29
    | ~ spl20
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p1589]) ).

cnf(sct137,plain,
    ( ~ spl29
    | ~ spl20
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1594]) ).

cnf(p1592,plain,
    ( ~ spl20
    | ~ spl10
    | sk19 = n1 ),
    inference(superposition,[status(thm)],[p1583,c162]) ).

cnf(p1598,plain,
    ( ~ spl30
    | ~ spl20
    | ~ spl10
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p1592,p196]) ).

cnf(p1603,plain,
    ( ~ spl30
    | ~ spl20
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p1598]) ).

cnf(sct138,plain,
    ( ~ spl30
    | ~ spl20
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1603]) ).

cnf(p1601,plain,
    ( ~ spl20
    | ~ spl10
    | sk21 = n4 ),
    inference(superposition,[status(thm)],[p1592,c164]) ).

cnf(p1605,plain,
    ( ~ spl31
    | ~ spl20
    | ~ spl10
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p1601,p197]) ).

cnf(p1606,plain,
    ( ~ spl31
    | ~ spl20
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p1605]) ).

cnf(sct139,plain,
    ( ~ spl31
    | ~ spl20
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1606]) ).

cnf(p1520,plain,
    ( ~ spl10
    | sk3 = sum(n9,sum(pred(sk1),succ(sk1))) ),
    inference(superposition,[status(thm)],[p154,c146]) ).

cnf(p1608,plain,
    ( ~ spl21
    | ~ spl10
    | sk3 = n7 ),
    inference(superposition,[status(thm)],[p166,p1520]) ).

cnf(p1612,plain,
    ( ~ spl22
    | ~ spl21
    | ~ spl10
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p1608,p188]) ).

cnf(p1617,plain,
    ( ~ spl22
    | ~ spl21
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p1612]) ).

cnf(sct140,plain,
    ( ~ spl22
    | ~ spl21
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1617]) ).

cnf(p1615,plain,
    ( ~ spl21
    | ~ spl10
    | sk5 = n6 ),
    inference(superposition,[status(thm)],[p1608,c148]) ).

cnf(p1621,plain,
    ( ~ spl23
    | ~ spl21
    | ~ spl10
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p1615,p189]) ).

cnf(p1626,plain,
    ( ~ spl23
    | ~ spl21
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p1621]) ).

cnf(sct141,plain,
    ( ~ spl23
    | ~ spl21
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1626]) ).

cnf(p1624,plain,
    ( ~ spl21
    | ~ spl10
    | sk7 = n2 ),
    inference(superposition,[status(thm)],[p1615,c150]) ).

cnf(p1630,plain,
    ( ~ spl24
    | ~ spl21
    | ~ spl10
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p1624,p190]) ).

cnf(p1635,plain,
    ( ~ spl24
    | ~ spl21
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p1630]) ).

cnf(sct142,plain,
    ( ~ spl24
    | ~ spl21
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1635]) ).

cnf(p1633,plain,
    ( ~ spl21
    | ~ spl10
    | sk9 = n8 ),
    inference(superposition,[status(thm)],[p1624,c152]) ).

cnf(p1639,plain,
    ( ~ spl25
    | ~ spl21
    | ~ spl10
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p1633,p191]) ).

cnf(p1644,plain,
    ( ~ spl25
    | ~ spl21
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p1639]) ).

cnf(sct143,plain,
    ( ~ spl25
    | ~ spl21
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1644]) ).

cnf(p1642,plain,
    ( ~ spl21
    | ~ spl10
    | sk11 = n10 ),
    inference(superposition,[status(thm)],[p1633,c154]) ).

cnf(p1648,plain,
    ( ~ spl26
    | ~ spl21
    | ~ spl10
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p1642,p192]) ).

cnf(p1653,plain,
    ( ~ spl26
    | ~ spl21
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p1648]) ).

cnf(sct144,plain,
    ( ~ spl26
    | ~ spl21
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1653]) ).

cnf(p1651,plain,
    ( ~ spl21
    | ~ spl10
    | sk13 = n7 ),
    inference(superposition,[status(thm)],[p1642,c156]) ).

cnf(p1657,plain,
    ( ~ spl27
    | ~ spl21
    | ~ spl10
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p1651,p193]) ).

cnf(p1662,plain,
    ( ~ spl27
    | ~ spl21
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p1657]) ).

cnf(sct145,plain,
    ( ~ spl27
    | ~ spl21
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1662]) ).

cnf(p1660,plain,
    ( ~ spl21
    | ~ spl10
    | sk15 = n6 ),
    inference(superposition,[status(thm)],[p1651,c158]) ).

cnf(p1666,plain,
    ( ~ spl28
    | ~ spl21
    | ~ spl10
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p1660,p194]) ).

cnf(p1671,plain,
    ( ~ spl28
    | ~ spl21
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p1666]) ).

cnf(sct146,plain,
    ( ~ spl28
    | ~ spl21
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1671]) ).

cnf(p1669,plain,
    ( ~ spl21
    | ~ spl10
    | sk17 = n2 ),
    inference(superposition,[status(thm)],[p1660,c160]) ).

cnf(p1675,plain,
    ( ~ spl29
    | ~ spl21
    | ~ spl10
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p1669,p195]) ).

cnf(p1680,plain,
    ( ~ spl29
    | ~ spl21
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p1675]) ).

cnf(sct147,plain,
    ( ~ spl29
    | ~ spl21
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1680]) ).

cnf(p1678,plain,
    ( ~ spl21
    | ~ spl10
    | sk19 = n8 ),
    inference(superposition,[status(thm)],[p1669,c162]) ).

cnf(p1684,plain,
    ( ~ spl30
    | ~ spl21
    | ~ spl10
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p1678,p196]) ).

cnf(p1689,plain,
    ( ~ spl30
    | ~ spl21
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p1684]) ).

cnf(sct148,plain,
    ( ~ spl30
    | ~ spl21
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1689]) ).

cnf(p1687,plain,
    ( ~ spl21
    | ~ spl10
    | sk21 = n10 ),
    inference(superposition,[status(thm)],[p1678,c164]) ).

cnf(p1691,plain,
    ( ~ spl31
    | ~ spl21
    | ~ spl10
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p1687,p197]) ).

cnf(p1692,plain,
    ( ~ spl31
    | ~ spl21
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p1691]) ).

cnf(sct149,plain,
    ( ~ spl31
    | ~ spl21
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1692]) ).

cnf(p1694,plain,
    ( ~ spl19
    | ~ spl10
    | sk3 = n3 ),
    inference(superposition,[status(thm)],[p164,p1520]) ).

cnf(p1698,plain,
    ( ~ spl22
    | ~ spl19
    | ~ spl10
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p1694,p188]) ).

cnf(p1703,plain,
    ( ~ spl22
    | ~ spl19
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p1698]) ).

cnf(sct150,plain,
    ( ~ spl22
    | ~ spl19
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1703]) ).

cnf(p1701,plain,
    ( ~ spl19
    | ~ spl10
    | sk5 = n1 ),
    inference(superposition,[status(thm)],[p1694,c148]) ).

cnf(p1707,plain,
    ( ~ spl23
    | ~ spl19
    | ~ spl10
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p1701,p189]) ).

cnf(p1712,plain,
    ( ~ spl23
    | ~ spl19
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p1707]) ).

cnf(sct151,plain,
    ( ~ spl23
    | ~ spl19
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1712]) ).

cnf(p1710,plain,
    ( ~ spl19
    | ~ spl10
    | sk7 = n4 ),
    inference(superposition,[status(thm)],[p1701,c150]) ).

cnf(p1716,plain,
    ( ~ spl24
    | ~ spl19
    | ~ spl10
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p1710,p190]) ).

cnf(p1721,plain,
    ( ~ spl24
    | ~ spl19
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p1716]) ).

cnf(sct152,plain,
    ( ~ spl24
    | ~ spl19
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1721]) ).

cnf(p1719,plain,
    ( ~ spl19
    | ~ spl10
    | sk9 = n5 ),
    inference(superposition,[status(thm)],[p1710,c152]) ).

cnf(p1725,plain,
    ( ~ spl25
    | ~ spl19
    | ~ spl10
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p1719,p191]) ).

cnf(p1730,plain,
    ( ~ spl25
    | ~ spl19
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p1725]) ).

cnf(sct153,plain,
    ( ~ spl25
    | ~ spl19
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1730]) ).

cnf(p1728,plain,
    ( ~ spl19
    | ~ spl10
    | sk11 = n9 ),
    inference(superposition,[status(thm)],[p1719,c154]) ).

cnf(p1734,plain,
    ( ~ spl26
    | ~ spl19
    | ~ spl10
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p1728,p192]) ).

cnf(p1739,plain,
    ( ~ spl26
    | ~ spl19
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p1734]) ).

cnf(sct154,plain,
    ( ~ spl26
    | ~ spl19
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1739]) ).

cnf(p1737,plain,
    ( ~ spl19
    | ~ spl10
    | sk13 = n3 ),
    inference(superposition,[status(thm)],[p1728,c156]) ).

cnf(p1743,plain,
    ( ~ spl27
    | ~ spl19
    | ~ spl10
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p1737,p193]) ).

cnf(p1748,plain,
    ( ~ spl27
    | ~ spl19
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p1743]) ).

cnf(sct155,plain,
    ( ~ spl27
    | ~ spl19
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1748]) ).

cnf(p1746,plain,
    ( ~ spl19
    | ~ spl10
    | sk15 = n1 ),
    inference(superposition,[status(thm)],[p1737,c158]) ).

cnf(p1752,plain,
    ( ~ spl28
    | ~ spl19
    | ~ spl10
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p1746,p194]) ).

cnf(p1757,plain,
    ( ~ spl28
    | ~ spl19
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p1752]) ).

cnf(sct156,plain,
    ( ~ spl28
    | ~ spl19
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1757]) ).

cnf(p1755,plain,
    ( ~ spl19
    | ~ spl10
    | sk17 = n4 ),
    inference(superposition,[status(thm)],[p1746,c160]) ).

cnf(p1761,plain,
    ( ~ spl29
    | ~ spl19
    | ~ spl10
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p1755,p195]) ).

cnf(p1766,plain,
    ( ~ spl29
    | ~ spl19
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p1761]) ).

cnf(sct157,plain,
    ( ~ spl29
    | ~ spl19
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1766]) ).

cnf(p1764,plain,
    ( ~ spl19
    | ~ spl10
    | sk19 = n5 ),
    inference(superposition,[status(thm)],[p1755,c162]) ).

cnf(p1770,plain,
    ( ~ spl30
    | ~ spl19
    | ~ spl10
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p1764,p196]) ).

cnf(p1775,plain,
    ( ~ spl30
    | ~ spl19
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p1770]) ).

cnf(sct158,plain,
    ( ~ spl30
    | ~ spl19
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1775]) ).

cnf(p1773,plain,
    ( ~ spl19
    | ~ spl10
    | sk21 = n9 ),
    inference(superposition,[status(thm)],[p1764,c164]) ).

cnf(p1777,plain,
    ( ~ spl31
    | ~ spl19
    | ~ spl10
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p1773,p197]) ).

cnf(p1778,plain,
    ( ~ spl31
    | ~ spl19
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p1777]) ).

cnf(sct159,plain,
    ( ~ spl31
    | ~ spl19
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1778]) ).

cnf(p1780,plain,
    ( ~ spl18
    | ~ spl10
    | sk3 = n1 ),
    inference(superposition,[status(thm)],[p163,p1520]) ).

cnf(p1784,plain,
    ( ~ spl22
    | ~ spl18
    | ~ spl10
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p1780,p188]) ).

cnf(p1789,plain,
    ( ~ spl22
    | ~ spl18
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p1784]) ).

cnf(sct160,plain,
    ( ~ spl22
    | ~ spl18
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1789]) ).

cnf(p1787,plain,
    ( ~ spl18
    | ~ spl10
    | sk5 = n4 ),
    inference(superposition,[status(thm)],[p1780,c148]) ).

cnf(p1793,plain,
    ( ~ spl23
    | ~ spl18
    | ~ spl10
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p1787,p189]) ).

cnf(p1798,plain,
    ( ~ spl23
    | ~ spl18
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p1793]) ).

cnf(sct161,plain,
    ( ~ spl23
    | ~ spl18
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1798]) ).

cnf(p1796,plain,
    ( ~ spl18
    | ~ spl10
    | sk7 = n5 ),
    inference(superposition,[status(thm)],[p1787,c150]) ).

cnf(p1802,plain,
    ( ~ spl24
    | ~ spl18
    | ~ spl10
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p1796,p190]) ).

cnf(p1807,plain,
    ( ~ spl24
    | ~ spl18
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p1802]) ).

cnf(sct162,plain,
    ( ~ spl24
    | ~ spl18
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1807]) ).

cnf(p1805,plain,
    ( ~ spl18
    | ~ spl10
    | sk9 = n9 ),
    inference(superposition,[status(thm)],[p1796,c152]) ).

cnf(p1811,plain,
    ( ~ spl25
    | ~ spl18
    | ~ spl10
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p1805,p191]) ).

cnf(p1816,plain,
    ( ~ spl25
    | ~ spl18
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p1811]) ).

cnf(sct163,plain,
    ( ~ spl25
    | ~ spl18
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1816]) ).

cnf(p1814,plain,
    ( ~ spl18
    | ~ spl10
    | sk11 = n3 ),
    inference(superposition,[status(thm)],[p1805,c154]) ).

cnf(p1820,plain,
    ( ~ spl26
    | ~ spl18
    | ~ spl10
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p1814,p192]) ).

cnf(p1825,plain,
    ( ~ spl26
    | ~ spl18
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p1820]) ).

cnf(sct164,plain,
    ( ~ spl26
    | ~ spl18
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1825]) ).

cnf(p1823,plain,
    ( ~ spl18
    | ~ spl10
    | sk13 = n1 ),
    inference(superposition,[status(thm)],[p1814,c156]) ).

cnf(p1829,plain,
    ( ~ spl27
    | ~ spl18
    | ~ spl10
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p1823,p193]) ).

cnf(p1834,plain,
    ( ~ spl27
    | ~ spl18
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p1829]) ).

cnf(sct165,plain,
    ( ~ spl27
    | ~ spl18
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1834]) ).

cnf(p1832,plain,
    ( ~ spl18
    | ~ spl10
    | sk15 = n4 ),
    inference(superposition,[status(thm)],[p1823,c158]) ).

cnf(p1838,plain,
    ( ~ spl28
    | ~ spl18
    | ~ spl10
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p1832,p194]) ).

cnf(p1843,plain,
    ( ~ spl28
    | ~ spl18
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p1838]) ).

cnf(sct166,plain,
    ( ~ spl28
    | ~ spl18
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1843]) ).

cnf(p1841,plain,
    ( ~ spl18
    | ~ spl10
    | sk17 = n5 ),
    inference(superposition,[status(thm)],[p1832,c160]) ).

cnf(p1847,plain,
    ( ~ spl29
    | ~ spl18
    | ~ spl10
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p1841,p195]) ).

cnf(p1852,plain,
    ( ~ spl29
    | ~ spl18
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p1847]) ).

cnf(sct167,plain,
    ( ~ spl29
    | ~ spl18
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1852]) ).

cnf(p1850,plain,
    ( ~ spl18
    | ~ spl10
    | sk19 = n9 ),
    inference(superposition,[status(thm)],[p1841,c162]) ).

cnf(p1856,plain,
    ( ~ spl30
    | ~ spl18
    | ~ spl10
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p1850,p196]) ).

cnf(p1861,plain,
    ( ~ spl30
    | ~ spl18
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p1856]) ).

cnf(sct168,plain,
    ( ~ spl30
    | ~ spl18
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1861]) ).

cnf(p1859,plain,
    ( ~ spl18
    | ~ spl10
    | sk21 = n3 ),
    inference(superposition,[status(thm)],[p1850,c164]) ).

cnf(p1863,plain,
    ( ~ spl31
    | ~ spl18
    | ~ spl10
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p1859,p197]) ).

cnf(p1864,plain,
    ( ~ spl31
    | ~ spl18
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p1863]) ).

cnf(sct169,plain,
    ( ~ spl31
    | ~ spl18
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1864]) ).

cnf(p1866,plain,
    ( ~ spl17
    | ~ spl10
    | sk3 = n10 ),
    inference(superposition,[status(thm)],[p162,p1520]) ).

cnf(p1870,plain,
    ( ~ spl22
    | ~ spl17
    | ~ spl10
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p1866,p188]) ).

cnf(p1875,plain,
    ( ~ spl22
    | ~ spl17
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p1870]) ).

cnf(sct170,plain,
    ( ~ spl22
    | ~ spl17
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1875]) ).

cnf(p1873,plain,
    ( ~ spl17
    | ~ spl10
    | sk5 = n7 ),
    inference(superposition,[status(thm)],[p1866,c148]) ).

cnf(p1879,plain,
    ( ~ spl23
    | ~ spl17
    | ~ spl10
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p1873,p189]) ).

cnf(p1884,plain,
    ( ~ spl23
    | ~ spl17
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p1879]) ).

cnf(sct171,plain,
    ( ~ spl23
    | ~ spl17
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1884]) ).

cnf(p1882,plain,
    ( ~ spl17
    | ~ spl10
    | sk7 = n6 ),
    inference(superposition,[status(thm)],[p1873,c150]) ).

cnf(p1888,plain,
    ( ~ spl24
    | ~ spl17
    | ~ spl10
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p1882,p190]) ).

cnf(p1893,plain,
    ( ~ spl24
    | ~ spl17
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p1888]) ).

cnf(sct172,plain,
    ( ~ spl24
    | ~ spl17
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1893]) ).

cnf(p1891,plain,
    ( ~ spl17
    | ~ spl10
    | sk9 = n2 ),
    inference(superposition,[status(thm)],[p1882,c152]) ).

cnf(p1897,plain,
    ( ~ spl25
    | ~ spl17
    | ~ spl10
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p1891,p191]) ).

cnf(p1902,plain,
    ( ~ spl25
    | ~ spl17
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p1897]) ).

cnf(sct173,plain,
    ( ~ spl25
    | ~ spl17
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1902]) ).

cnf(p1900,plain,
    ( ~ spl17
    | ~ spl10
    | sk11 = n8 ),
    inference(superposition,[status(thm)],[p1891,c154]) ).

cnf(p1906,plain,
    ( ~ spl26
    | ~ spl17
    | ~ spl10
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p1900,p192]) ).

cnf(p1911,plain,
    ( ~ spl26
    | ~ spl17
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p1906]) ).

cnf(sct174,plain,
    ( ~ spl26
    | ~ spl17
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1911]) ).

cnf(p1909,plain,
    ( ~ spl17
    | ~ spl10
    | sk13 = n10 ),
    inference(superposition,[status(thm)],[p1900,c156]) ).

cnf(p1915,plain,
    ( ~ spl27
    | ~ spl17
    | ~ spl10
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p1909,p193]) ).

cnf(p1920,plain,
    ( ~ spl27
    | ~ spl17
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p1915]) ).

cnf(sct175,plain,
    ( ~ spl27
    | ~ spl17
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1920]) ).

cnf(p1918,plain,
    ( ~ spl17
    | ~ spl10
    | sk15 = n7 ),
    inference(superposition,[status(thm)],[p1909,c158]) ).

cnf(p1924,plain,
    ( ~ spl28
    | ~ spl17
    | ~ spl10
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p1918,p194]) ).

cnf(p1929,plain,
    ( ~ spl28
    | ~ spl17
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p1924]) ).

cnf(sct176,plain,
    ( ~ spl28
    | ~ spl17
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1929]) ).

cnf(p1927,plain,
    ( ~ spl17
    | ~ spl10
    | sk17 = n6 ),
    inference(superposition,[status(thm)],[p1918,c160]) ).

cnf(p1933,plain,
    ( ~ spl29
    | ~ spl17
    | ~ spl10
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p1927,p195]) ).

cnf(p1938,plain,
    ( ~ spl29
    | ~ spl17
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p1933]) ).

cnf(sct177,plain,
    ( ~ spl29
    | ~ spl17
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1938]) ).

cnf(p1936,plain,
    ( ~ spl17
    | ~ spl10
    | sk19 = n2 ),
    inference(superposition,[status(thm)],[p1927,c162]) ).

cnf(p1942,plain,
    ( ~ spl30
    | ~ spl17
    | ~ spl10
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p1936,p196]) ).

cnf(p1947,plain,
    ( ~ spl30
    | ~ spl17
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p1942]) ).

cnf(sct178,plain,
    ( ~ spl30
    | ~ spl17
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1947]) ).

cnf(p1945,plain,
    ( ~ spl17
    | ~ spl10
    | sk21 = n8 ),
    inference(superposition,[status(thm)],[p1936,c164]) ).

cnf(p1949,plain,
    ( ~ spl31
    | ~ spl17
    | ~ spl10
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p1945,p197]) ).

cnf(p1950,plain,
    ( ~ spl31
    | ~ spl17
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p1949]) ).

cnf(sct179,plain,
    ( ~ spl31
    | ~ spl17
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1950]) ).

cnf(p1952,plain,
    ( ~ spl16
    | ~ spl10
    | sk3 = n8 ),
    inference(superposition,[status(thm)],[p161,p1520]) ).

cnf(p1956,plain,
    ( ~ spl22
    | ~ spl16
    | ~ spl10
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p1952,p188]) ).

cnf(p1961,plain,
    ( ~ spl22
    | ~ spl16
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p1956]) ).

cnf(sct180,plain,
    ( ~ spl22
    | ~ spl16
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1961]) ).

cnf(p1959,plain,
    ( ~ spl16
    | ~ spl10
    | sk5 = n10 ),
    inference(superposition,[status(thm)],[p1952,c148]) ).

cnf(p1965,plain,
    ( ~ spl23
    | ~ spl16
    | ~ spl10
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p1959,p189]) ).

cnf(p1970,plain,
    ( ~ spl23
    | ~ spl16
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p1965]) ).

cnf(sct181,plain,
    ( ~ spl23
    | ~ spl16
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1970]) ).

cnf(p1968,plain,
    ( ~ spl16
    | ~ spl10
    | sk7 = n7 ),
    inference(superposition,[status(thm)],[p1959,c150]) ).

cnf(p1974,plain,
    ( ~ spl24
    | ~ spl16
    | ~ spl10
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p1968,p190]) ).

cnf(p1979,plain,
    ( ~ spl24
    | ~ spl16
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p1974]) ).

cnf(sct182,plain,
    ( ~ spl24
    | ~ spl16
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1979]) ).

cnf(p1977,plain,
    ( ~ spl16
    | ~ spl10
    | sk9 = n6 ),
    inference(superposition,[status(thm)],[p1968,c152]) ).

cnf(p1983,plain,
    ( ~ spl25
    | ~ spl16
    | ~ spl10
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p1977,p191]) ).

cnf(p1988,plain,
    ( ~ spl25
    | ~ spl16
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p1983]) ).

cnf(sct183,plain,
    ( ~ spl25
    | ~ spl16
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1988]) ).

cnf(p1986,plain,
    ( ~ spl16
    | ~ spl10
    | sk11 = n2 ),
    inference(superposition,[status(thm)],[p1977,c154]) ).

cnf(p1992,plain,
    ( ~ spl26
    | ~ spl16
    | ~ spl10
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p1986,p192]) ).

cnf(p1997,plain,
    ( ~ spl26
    | ~ spl16
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p1992]) ).

cnf(sct184,plain,
    ( ~ spl26
    | ~ spl16
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p1997]) ).

cnf(p1995,plain,
    ( ~ spl16
    | ~ spl10
    | sk13 = n8 ),
    inference(superposition,[status(thm)],[p1986,c156]) ).

cnf(p2001,plain,
    ( ~ spl27
    | ~ spl16
    | ~ spl10
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p1995,p193]) ).

cnf(p2006,plain,
    ( ~ spl27
    | ~ spl16
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2001]) ).

cnf(sct185,plain,
    ( ~ spl27
    | ~ spl16
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2006]) ).

cnf(p2004,plain,
    ( ~ spl16
    | ~ spl10
    | sk15 = n10 ),
    inference(superposition,[status(thm)],[p1995,c158]) ).

cnf(p2010,plain,
    ( ~ spl28
    | ~ spl16
    | ~ spl10
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p2004,p194]) ).

cnf(p2015,plain,
    ( ~ spl28
    | ~ spl16
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2010]) ).

cnf(sct186,plain,
    ( ~ spl28
    | ~ spl16
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2015]) ).

cnf(p2013,plain,
    ( ~ spl16
    | ~ spl10
    | sk17 = n7 ),
    inference(superposition,[status(thm)],[p2004,c160]) ).

cnf(p2019,plain,
    ( ~ spl29
    | ~ spl16
    | ~ spl10
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p2013,p195]) ).

cnf(p2024,plain,
    ( ~ spl29
    | ~ spl16
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2019]) ).

cnf(sct187,plain,
    ( ~ spl29
    | ~ spl16
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2024]) ).

cnf(p2022,plain,
    ( ~ spl16
    | ~ spl10
    | sk19 = n6 ),
    inference(superposition,[status(thm)],[p2013,c162]) ).

cnf(p2028,plain,
    ( ~ spl30
    | ~ spl16
    | ~ spl10
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p2022,p196]) ).

cnf(p2033,plain,
    ( ~ spl30
    | ~ spl16
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2028]) ).

cnf(sct188,plain,
    ( ~ spl30
    | ~ spl16
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2033]) ).

cnf(p2031,plain,
    ( ~ spl16
    | ~ spl10
    | sk21 = n2 ),
    inference(superposition,[status(thm)],[p2022,c164]) ).

cnf(p2035,plain,
    ( ~ spl31
    | ~ spl16
    | ~ spl10
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p2031,p197]) ).

cnf(p2036,plain,
    ( ~ spl31
    | ~ spl16
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2035]) ).

cnf(sct189,plain,
    ( ~ spl31
    | ~ spl16
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2036]) ).

cnf(p2038,plain,
    ( ~ spl15
    | ~ spl10
    | sk3 = n6 ),
    inference(superposition,[status(thm)],[p160,p1520]) ).

cnf(p2042,plain,
    ( ~ spl22
    | ~ spl15
    | ~ spl10
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p2038,p188]) ).

cnf(p2047,plain,
    ( ~ spl22
    | ~ spl15
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2042]) ).

cnf(sct190,plain,
    ( ~ spl22
    | ~ spl15
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2047]) ).

cnf(p2045,plain,
    ( ~ spl15
    | ~ spl10
    | sk5 = n2 ),
    inference(superposition,[status(thm)],[p2038,c148]) ).

cnf(p2051,plain,
    ( ~ spl23
    | ~ spl15
    | ~ spl10
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p2045,p189]) ).

cnf(p2056,plain,
    ( ~ spl23
    | ~ spl15
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2051]) ).

cnf(sct191,plain,
    ( ~ spl23
    | ~ spl15
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2056]) ).

cnf(p2054,plain,
    ( ~ spl15
    | ~ spl10
    | sk7 = n8 ),
    inference(superposition,[status(thm)],[p2045,c150]) ).

cnf(p2060,plain,
    ( ~ spl24
    | ~ spl15
    | ~ spl10
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p2054,p190]) ).

cnf(p2065,plain,
    ( ~ spl24
    | ~ spl15
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2060]) ).

cnf(sct192,plain,
    ( ~ spl24
    | ~ spl15
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2065]) ).

cnf(p2063,plain,
    ( ~ spl15
    | ~ spl10
    | sk9 = n10 ),
    inference(superposition,[status(thm)],[p2054,c152]) ).

cnf(p2069,plain,
    ( ~ spl25
    | ~ spl15
    | ~ spl10
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p2063,p191]) ).

cnf(p2074,plain,
    ( ~ spl25
    | ~ spl15
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2069]) ).

cnf(sct193,plain,
    ( ~ spl25
    | ~ spl15
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2074]) ).

cnf(p2072,plain,
    ( ~ spl15
    | ~ spl10
    | sk11 = n7 ),
    inference(superposition,[status(thm)],[p2063,c154]) ).

cnf(p2078,plain,
    ( ~ spl26
    | ~ spl15
    | ~ spl10
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p2072,p192]) ).

cnf(p2083,plain,
    ( ~ spl26
    | ~ spl15
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2078]) ).

cnf(sct194,plain,
    ( ~ spl26
    | ~ spl15
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2083]) ).

cnf(p2081,plain,
    ( ~ spl15
    | ~ spl10
    | sk13 = n6 ),
    inference(superposition,[status(thm)],[p2072,c156]) ).

cnf(p2087,plain,
    ( ~ spl27
    | ~ spl15
    | ~ spl10
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p2081,p193]) ).

cnf(p2092,plain,
    ( ~ spl27
    | ~ spl15
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2087]) ).

cnf(sct195,plain,
    ( ~ spl27
    | ~ spl15
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2092]) ).

cnf(p2090,plain,
    ( ~ spl15
    | ~ spl10
    | sk15 = n2 ),
    inference(superposition,[status(thm)],[p2081,c158]) ).

cnf(p2096,plain,
    ( ~ spl28
    | ~ spl15
    | ~ spl10
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p2090,p194]) ).

cnf(p2101,plain,
    ( ~ spl28
    | ~ spl15
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2096]) ).

cnf(sct196,plain,
    ( ~ spl28
    | ~ spl15
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2101]) ).

cnf(p2099,plain,
    ( ~ spl15
    | ~ spl10
    | sk17 = n8 ),
    inference(superposition,[status(thm)],[p2090,c160]) ).

cnf(p2105,plain,
    ( ~ spl29
    | ~ spl15
    | ~ spl10
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p2099,p195]) ).

cnf(p2110,plain,
    ( ~ spl29
    | ~ spl15
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2105]) ).

cnf(sct197,plain,
    ( ~ spl29
    | ~ spl15
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2110]) ).

cnf(p2108,plain,
    ( ~ spl15
    | ~ spl10
    | sk19 = n10 ),
    inference(superposition,[status(thm)],[p2099,c162]) ).

cnf(p2114,plain,
    ( ~ spl30
    | ~ spl15
    | ~ spl10
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p2108,p196]) ).

cnf(p2119,plain,
    ( ~ spl30
    | ~ spl15
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2114]) ).

cnf(sct198,plain,
    ( ~ spl30
    | ~ spl15
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2119]) ).

cnf(p2117,plain,
    ( ~ spl15
    | ~ spl10
    | sk21 = n7 ),
    inference(superposition,[status(thm)],[p2108,c164]) ).

cnf(p2121,plain,
    ( ~ spl31
    | ~ spl15
    | ~ spl10
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p2117,p197]) ).

cnf(p2122,plain,
    ( ~ spl31
    | ~ spl15
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2121]) ).

cnf(sct199,plain,
    ( ~ spl31
    | ~ spl15
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2122]) ).

cnf(p2124,plain,
    ( ~ spl14
    | ~ spl10
    | sk3 = n4 ),
    inference(superposition,[status(thm)],[p159,p1520]) ).

cnf(p2128,plain,
    ( ~ spl22
    | ~ spl14
    | ~ spl10
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p2124,p188]) ).

cnf(p2133,plain,
    ( ~ spl22
    | ~ spl14
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2128]) ).

cnf(sct200,plain,
    ( ~ spl22
    | ~ spl14
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2133]) ).

cnf(p2131,plain,
    ( ~ spl14
    | ~ spl10
    | sk5 = n5 ),
    inference(superposition,[status(thm)],[p2124,c148]) ).

cnf(p2137,plain,
    ( ~ spl23
    | ~ spl14
    | ~ spl10
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p2131,p189]) ).

cnf(p2142,plain,
    ( ~ spl23
    | ~ spl14
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2137]) ).

cnf(sct201,plain,
    ( ~ spl23
    | ~ spl14
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2142]) ).

cnf(p2140,plain,
    ( ~ spl14
    | ~ spl10
    | sk7 = n9 ),
    inference(superposition,[status(thm)],[p2131,c150]) ).

cnf(p2146,plain,
    ( ~ spl24
    | ~ spl14
    | ~ spl10
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p2140,p190]) ).

cnf(p2151,plain,
    ( ~ spl24
    | ~ spl14
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2146]) ).

cnf(sct202,plain,
    ( ~ spl24
    | ~ spl14
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2151]) ).

cnf(p2149,plain,
    ( ~ spl14
    | ~ spl10
    | sk9 = n3 ),
    inference(superposition,[status(thm)],[p2140,c152]) ).

cnf(p2155,plain,
    ( ~ spl25
    | ~ spl14
    | ~ spl10
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p2149,p191]) ).

cnf(p2160,plain,
    ( ~ spl25
    | ~ spl14
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2155]) ).

cnf(sct203,plain,
    ( ~ spl25
    | ~ spl14
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2160]) ).

cnf(p2158,plain,
    ( ~ spl14
    | ~ spl10
    | sk11 = n1 ),
    inference(superposition,[status(thm)],[p2149,c154]) ).

cnf(p2164,plain,
    ( ~ spl26
    | ~ spl14
    | ~ spl10
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p2158,p192]) ).

cnf(p2169,plain,
    ( ~ spl26
    | ~ spl14
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2164]) ).

cnf(sct204,plain,
    ( ~ spl26
    | ~ spl14
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2169]) ).

cnf(p2167,plain,
    ( ~ spl14
    | ~ spl10
    | sk13 = n4 ),
    inference(superposition,[status(thm)],[p2158,c156]) ).

cnf(p2173,plain,
    ( ~ spl27
    | ~ spl14
    | ~ spl10
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p2167,p193]) ).

cnf(p2178,plain,
    ( ~ spl27
    | ~ spl14
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2173]) ).

cnf(sct205,plain,
    ( ~ spl27
    | ~ spl14
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2178]) ).

cnf(p2176,plain,
    ( ~ spl14
    | ~ spl10
    | sk15 = n5 ),
    inference(superposition,[status(thm)],[p2167,c158]) ).

cnf(p2182,plain,
    ( ~ spl28
    | ~ spl14
    | ~ spl10
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p2176,p194]) ).

cnf(p2187,plain,
    ( ~ spl28
    | ~ spl14
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2182]) ).

cnf(sct206,plain,
    ( ~ spl28
    | ~ spl14
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2187]) ).

cnf(p2185,plain,
    ( ~ spl14
    | ~ spl10
    | sk17 = n9 ),
    inference(superposition,[status(thm)],[p2176,c160]) ).

cnf(p2191,plain,
    ( ~ spl29
    | ~ spl14
    | ~ spl10
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p2185,p195]) ).

cnf(p2196,plain,
    ( ~ spl29
    | ~ spl14
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2191]) ).

cnf(sct207,plain,
    ( ~ spl29
    | ~ spl14
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2196]) ).

cnf(p2194,plain,
    ( ~ spl14
    | ~ spl10
    | sk19 = n3 ),
    inference(superposition,[status(thm)],[p2185,c162]) ).

cnf(p2200,plain,
    ( ~ spl30
    | ~ spl14
    | ~ spl10
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p2194,p196]) ).

cnf(p2205,plain,
    ( ~ spl30
    | ~ spl14
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2200]) ).

cnf(sct208,plain,
    ( ~ spl30
    | ~ spl14
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2205]) ).

cnf(p2203,plain,
    ( ~ spl14
    | ~ spl10
    | sk21 = n1 ),
    inference(superposition,[status(thm)],[p2194,c164]) ).

cnf(p2207,plain,
    ( ~ spl31
    | ~ spl14
    | ~ spl10
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p2203,p197]) ).

cnf(p2208,plain,
    ( ~ spl31
    | ~ spl14
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2207]) ).

cnf(sct209,plain,
    ( ~ spl31
    | ~ spl14
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2208]) ).

cnf(p2210,plain,
    ( ~ spl13
    | ~ spl10
    | sk3 = n2 ),
    inference(superposition,[status(thm)],[p158,p1520]) ).

cnf(p2214,plain,
    ( ~ spl22
    | ~ spl13
    | ~ spl10
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p2210,p188]) ).

cnf(p2219,plain,
    ( ~ spl22
    | ~ spl13
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2214]) ).

cnf(sct210,plain,
    ( ~ spl22
    | ~ spl13
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2219]) ).

cnf(p2217,plain,
    ( ~ spl13
    | ~ spl10
    | sk5 = n8 ),
    inference(superposition,[status(thm)],[p2210,c148]) ).

cnf(p2223,plain,
    ( ~ spl23
    | ~ spl13
    | ~ spl10
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p2217,p189]) ).

cnf(p2228,plain,
    ( ~ spl23
    | ~ spl13
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2223]) ).

cnf(sct211,plain,
    ( ~ spl23
    | ~ spl13
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2228]) ).

cnf(p2226,plain,
    ( ~ spl13
    | ~ spl10
    | sk7 = n10 ),
    inference(superposition,[status(thm)],[p2217,c150]) ).

cnf(p2232,plain,
    ( ~ spl24
    | ~ spl13
    | ~ spl10
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p2226,p190]) ).

cnf(p2237,plain,
    ( ~ spl24
    | ~ spl13
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2232]) ).

cnf(sct212,plain,
    ( ~ spl24
    | ~ spl13
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2237]) ).

cnf(p2235,plain,
    ( ~ spl13
    | ~ spl10
    | sk9 = n7 ),
    inference(superposition,[status(thm)],[p2226,c152]) ).

cnf(p2241,plain,
    ( ~ spl25
    | ~ spl13
    | ~ spl10
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p2235,p191]) ).

cnf(p2246,plain,
    ( ~ spl25
    | ~ spl13
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2241]) ).

cnf(sct213,plain,
    ( ~ spl25
    | ~ spl13
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2246]) ).

cnf(p2244,plain,
    ( ~ spl13
    | ~ spl10
    | sk11 = n6 ),
    inference(superposition,[status(thm)],[p2235,c154]) ).

cnf(p2250,plain,
    ( ~ spl26
    | ~ spl13
    | ~ spl10
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p2244,p192]) ).

cnf(p2255,plain,
    ( ~ spl26
    | ~ spl13
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2250]) ).

cnf(sct214,plain,
    ( ~ spl26
    | ~ spl13
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2255]) ).

cnf(p2253,plain,
    ( ~ spl13
    | ~ spl10
    | sk13 = n2 ),
    inference(superposition,[status(thm)],[p2244,c156]) ).

cnf(p2259,plain,
    ( ~ spl27
    | ~ spl13
    | ~ spl10
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p2253,p193]) ).

cnf(p2264,plain,
    ( ~ spl27
    | ~ spl13
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2259]) ).

cnf(sct215,plain,
    ( ~ spl27
    | ~ spl13
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2264]) ).

cnf(p2262,plain,
    ( ~ spl13
    | ~ spl10
    | sk15 = n8 ),
    inference(superposition,[status(thm)],[p2253,c158]) ).

cnf(p2268,plain,
    ( ~ spl28
    | ~ spl13
    | ~ spl10
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p2262,p194]) ).

cnf(p2273,plain,
    ( ~ spl28
    | ~ spl13
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2268]) ).

cnf(sct216,plain,
    ( ~ spl28
    | ~ spl13
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2273]) ).

cnf(p2271,plain,
    ( ~ spl13
    | ~ spl10
    | sk17 = n10 ),
    inference(superposition,[status(thm)],[p2262,c160]) ).

cnf(p2277,plain,
    ( ~ spl29
    | ~ spl13
    | ~ spl10
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p2271,p195]) ).

cnf(p2282,plain,
    ( ~ spl29
    | ~ spl13
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2277]) ).

cnf(sct217,plain,
    ( ~ spl29
    | ~ spl13
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2282]) ).

cnf(p2280,plain,
    ( ~ spl13
    | ~ spl10
    | sk19 = n7 ),
    inference(superposition,[status(thm)],[p2271,c162]) ).

cnf(p2286,plain,
    ( ~ spl30
    | ~ spl13
    | ~ spl10
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p2280,p196]) ).

cnf(p2291,plain,
    ( ~ spl30
    | ~ spl13
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2286]) ).

cnf(sct218,plain,
    ( ~ spl30
    | ~ spl13
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2291]) ).

cnf(p2289,plain,
    ( ~ spl13
    | ~ spl10
    | sk21 = n6 ),
    inference(superposition,[status(thm)],[p2280,c164]) ).

cnf(p2293,plain,
    ( ~ spl31
    | ~ spl13
    | ~ spl10
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p2289,p197]) ).

cnf(p2294,plain,
    ( ~ spl31
    | ~ spl13
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2293]) ).

cnf(sct219,plain,
    ( ~ spl31
    | ~ spl13
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2294]) ).

cnf(p2296,plain,
    ( ~ spl12
    | ~ spl10
    | sk3 = n0 ),
    inference(superposition,[status(thm)],[p157,p1520]) ).

cnf(p2300,plain,
    ( ~ spl22
    | ~ spl12
    | ~ spl10
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p2296,p188]) ).

cnf(p2305,plain,
    ( ~ spl22
    | ~ spl12
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2300]) ).

cnf(sct220,plain,
    ( ~ spl22
    | ~ spl12
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2305]) ).

cnf(p2303,plain,
    ( ~ spl12
    | ~ spl10
    | sk5 = n0 ),
    inference(superposition,[status(thm)],[p2296,c148]) ).

cnf(p2309,plain,
    ( ~ spl23
    | ~ spl12
    | ~ spl10
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p2303,p189]) ).

cnf(p2314,plain,
    ( ~ spl23
    | ~ spl12
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2309]) ).

cnf(sct221,plain,
    ( ~ spl23
    | ~ spl12
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2314]) ).

cnf(p2312,plain,
    ( ~ spl12
    | ~ spl10
    | sk7 = n0 ),
    inference(superposition,[status(thm)],[p2303,c150]) ).

cnf(p2318,plain,
    ( ~ spl24
    | ~ spl12
    | ~ spl10
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p2312,p190]) ).

cnf(p2323,plain,
    ( ~ spl24
    | ~ spl12
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2318]) ).

cnf(sct222,plain,
    ( ~ spl24
    | ~ spl12
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2323]) ).

cnf(p2321,plain,
    ( ~ spl12
    | ~ spl10
    | sk9 = n0 ),
    inference(superposition,[status(thm)],[p2312,c152]) ).

cnf(p2327,plain,
    ( ~ spl25
    | ~ spl12
    | ~ spl10
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p2321,p191]) ).

cnf(p2332,plain,
    ( ~ spl25
    | ~ spl12
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2327]) ).

cnf(sct223,plain,
    ( ~ spl25
    | ~ spl12
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2332]) ).

cnf(p2330,plain,
    ( ~ spl12
    | ~ spl10
    | sk11 = n0 ),
    inference(superposition,[status(thm)],[p2321,c154]) ).

cnf(p2336,plain,
    ( ~ spl26
    | ~ spl12
    | ~ spl10
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p2330,p192]) ).

cnf(p2341,plain,
    ( ~ spl26
    | ~ spl12
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2336]) ).

cnf(sct224,plain,
    ( ~ spl26
    | ~ spl12
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2341]) ).

cnf(p2339,plain,
    ( ~ spl12
    | ~ spl10
    | sk13 = n0 ),
    inference(superposition,[status(thm)],[p2330,c156]) ).

cnf(p2345,plain,
    ( ~ spl27
    | ~ spl12
    | ~ spl10
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p2339,p193]) ).

cnf(p2350,plain,
    ( ~ spl27
    | ~ spl12
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2345]) ).

cnf(sct225,plain,
    ( ~ spl27
    | ~ spl12
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2350]) ).

cnf(p2348,plain,
    ( ~ spl12
    | ~ spl10
    | sk15 = n0 ),
    inference(superposition,[status(thm)],[p2339,c158]) ).

cnf(p2354,plain,
    ( ~ spl28
    | ~ spl12
    | ~ spl10
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p2348,p194]) ).

cnf(p2359,plain,
    ( ~ spl28
    | ~ spl12
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2354]) ).

cnf(sct226,plain,
    ( ~ spl28
    | ~ spl12
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2359]) ).

cnf(p2357,plain,
    ( ~ spl12
    | ~ spl10
    | sk17 = n0 ),
    inference(superposition,[status(thm)],[p2348,c160]) ).

cnf(p2363,plain,
    ( ~ spl29
    | ~ spl12
    | ~ spl10
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p2357,p195]) ).

cnf(p2368,plain,
    ( ~ spl29
    | ~ spl12
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2363]) ).

cnf(sct227,plain,
    ( ~ spl29
    | ~ spl12
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2368]) ).

cnf(p2366,plain,
    ( ~ spl12
    | ~ spl10
    | sk19 = n0 ),
    inference(superposition,[status(thm)],[p2357,c162]) ).

cnf(p2372,plain,
    ( ~ spl30
    | ~ spl12
    | ~ spl10
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p2366,p196]) ).

cnf(p2377,plain,
    ( ~ spl30
    | ~ spl12
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2372]) ).

cnf(sct228,plain,
    ( ~ spl30
    | ~ spl12
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2377]) ).

cnf(p2375,plain,
    ( ~ spl12
    | ~ spl10
    | sk21 = n0 ),
    inference(superposition,[status(thm)],[p2366,c164]) ).

cnf(p2379,plain,
    ( ~ spl31
    | ~ spl12
    | ~ spl10
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p2375,p197]) ).

cnf(p2380,plain,
    ( ~ spl31
    | ~ spl12
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2379]) ).

cnf(sct229,plain,
    ( ~ spl31
    | ~ spl12
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2380]) ).

cnf(p2382,plain,
    ( ~ spl11
    | ~ spl10
    | sk3 = n9 ),
    inference(superposition,[status(thm)],[p156,p1520]) ).

cnf(p2386,plain,
    ( ~ spl22
    | ~ spl11
    | ~ spl10
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p2382,p188]) ).

cnf(p2391,plain,
    ( ~ spl22
    | ~ spl11
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2386]) ).

cnf(sct230,plain,
    ( ~ spl22
    | ~ spl11
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2391]) ).

cnf(p2389,plain,
    ( ~ spl11
    | ~ spl10
    | sk5 = n3 ),
    inference(superposition,[status(thm)],[p2382,c148]) ).

cnf(p2395,plain,
    ( ~ spl23
    | ~ spl11
    | ~ spl10
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p2389,p189]) ).

cnf(p2400,plain,
    ( ~ spl23
    | ~ spl11
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2395]) ).

cnf(sct231,plain,
    ( ~ spl23
    | ~ spl11
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2400]) ).

cnf(p2398,plain,
    ( ~ spl11
    | ~ spl10
    | sk7 = n1 ),
    inference(superposition,[status(thm)],[p2389,c150]) ).

cnf(p2404,plain,
    ( ~ spl24
    | ~ spl11
    | ~ spl10
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p2398,p190]) ).

cnf(p2409,plain,
    ( ~ spl24
    | ~ spl11
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2404]) ).

cnf(sct232,plain,
    ( ~ spl24
    | ~ spl11
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2409]) ).

cnf(p2407,plain,
    ( ~ spl11
    | ~ spl10
    | sk9 = n4 ),
    inference(superposition,[status(thm)],[p2398,c152]) ).

cnf(p2413,plain,
    ( ~ spl25
    | ~ spl11
    | ~ spl10
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p2407,p191]) ).

cnf(p2418,plain,
    ( ~ spl25
    | ~ spl11
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2413]) ).

cnf(sct233,plain,
    ( ~ spl25
    | ~ spl11
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2418]) ).

cnf(p2416,plain,
    ( ~ spl11
    | ~ spl10
    | sk11 = n5 ),
    inference(superposition,[status(thm)],[p2407,c154]) ).

cnf(p2422,plain,
    ( ~ spl26
    | ~ spl11
    | ~ spl10
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p2416,p192]) ).

cnf(p2427,plain,
    ( ~ spl26
    | ~ spl11
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2422]) ).

cnf(sct234,plain,
    ( ~ spl26
    | ~ spl11
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2427]) ).

cnf(p2425,plain,
    ( ~ spl11
    | ~ spl10
    | sk13 = n9 ),
    inference(superposition,[status(thm)],[p2416,c156]) ).

cnf(p2431,plain,
    ( ~ spl27
    | ~ spl11
    | ~ spl10
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p2425,p193]) ).

cnf(p2436,plain,
    ( ~ spl27
    | ~ spl11
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2431]) ).

cnf(sct235,plain,
    ( ~ spl27
    | ~ spl11
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2436]) ).

cnf(p2434,plain,
    ( ~ spl11
    | ~ spl10
    | sk15 = n3 ),
    inference(superposition,[status(thm)],[p2425,c158]) ).

cnf(p2440,plain,
    ( ~ spl28
    | ~ spl11
    | ~ spl10
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p2434,p194]) ).

cnf(p2445,plain,
    ( ~ spl28
    | ~ spl11
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2440]) ).

cnf(sct236,plain,
    ( ~ spl28
    | ~ spl11
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2445]) ).

cnf(p2443,plain,
    ( ~ spl11
    | ~ spl10
    | sk17 = n1 ),
    inference(superposition,[status(thm)],[p2434,c160]) ).

cnf(p2449,plain,
    ( ~ spl29
    | ~ spl11
    | ~ spl10
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p2443,p195]) ).

cnf(p2454,plain,
    ( ~ spl29
    | ~ spl11
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2449]) ).

cnf(sct237,plain,
    ( ~ spl29
    | ~ spl11
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2454]) ).

cnf(p2452,plain,
    ( ~ spl11
    | ~ spl10
    | sk19 = n4 ),
    inference(superposition,[status(thm)],[p2443,c162]) ).

cnf(p2458,plain,
    ( ~ spl30
    | ~ spl11
    | ~ spl10
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p2452,p196]) ).

cnf(p2463,plain,
    ( ~ spl30
    | ~ spl11
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2458]) ).

cnf(sct238,plain,
    ( ~ spl30
    | ~ spl11
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2463]) ).

cnf(p2461,plain,
    ( ~ spl11
    | ~ spl10
    | sk21 = n5 ),
    inference(superposition,[status(thm)],[p2452,c164]) ).

cnf(p2465,plain,
    ( ~ spl31
    | ~ spl11
    | ~ spl10
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p2461,p197]) ).

cnf(p2466,plain,
    ( ~ spl31
    | ~ spl11
    | ~ spl10
    | $false ),
    inference(equality_resolution,[status(thm)],[p2465]) ).

cnf(sct239,plain,
    ( ~ spl31
    | ~ spl11
    | ~ spl10 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2466]) ).

cnf(p2469,plain,
    ( ~ spl20
    | ~ spl8
    | sk3 = n1 ),
    inference(superposition,[status(thm)],[p152,p585]) ).

cnf(p2471,plain,
    ( ~ spl22
    | ~ spl20
    | ~ spl8
    | sk2 != n1 ),
    inference(superposition,[status(thm)],[p2469,p188]) ).

cnf(p2470,plain,
    ( ~ spl20
    | ~ spl8
    | sk2 = n1 ),
    inference(superposition,[status(thm)],[p152,p582]) ).

cnf(p2479,plain,
    ( ~ spl22
    | ~ spl20
    | ~ spl8
    | $false ),
    inference(resolution,[status(thm)],[p2471,p2470]) ).

cnf(sct240,plain,
    ( ~ spl22
    | ~ spl20
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2479]) ).

cnf(p2477,plain,
    ( ~ spl20
    | ~ spl8
    | sk5 = n4 ),
    inference(superposition,[status(thm)],[p2470,c148]) ).

cnf(p2483,plain,
    ( ~ spl23
    | ~ spl20
    | ~ spl8
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p2477,p189]) ).

cnf(p2488,plain,
    ( ~ spl23
    | ~ spl20
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2483]) ).

cnf(sct241,plain,
    ( ~ spl23
    | ~ spl20
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2488]) ).

cnf(p2486,plain,
    ( ~ spl20
    | ~ spl8
    | sk7 = n5 ),
    inference(superposition,[status(thm)],[p2477,c150]) ).

cnf(p2492,plain,
    ( ~ spl24
    | ~ spl20
    | ~ spl8
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p2486,p190]) ).

cnf(p2497,plain,
    ( ~ spl24
    | ~ spl20
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2492]) ).

cnf(sct242,plain,
    ( ~ spl24
    | ~ spl20
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2497]) ).

cnf(p2495,plain,
    ( ~ spl20
    | ~ spl8
    | sk9 = n9 ),
    inference(superposition,[status(thm)],[p2486,c152]) ).

cnf(p2501,plain,
    ( ~ spl25
    | ~ spl20
    | ~ spl8
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p2495,p191]) ).

cnf(p2506,plain,
    ( ~ spl25
    | ~ spl20
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2501]) ).

cnf(sct243,plain,
    ( ~ spl25
    | ~ spl20
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2506]) ).

cnf(p2504,plain,
    ( ~ spl20
    | ~ spl8
    | sk11 = n3 ),
    inference(superposition,[status(thm)],[p2495,c154]) ).

cnf(p2510,plain,
    ( ~ spl26
    | ~ spl20
    | ~ spl8
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p2504,p192]) ).

cnf(p2515,plain,
    ( ~ spl26
    | ~ spl20
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2510]) ).

cnf(sct244,plain,
    ( ~ spl26
    | ~ spl20
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2515]) ).

cnf(p2513,plain,
    ( ~ spl20
    | ~ spl8
    | sk13 = n1 ),
    inference(superposition,[status(thm)],[p2504,c156]) ).

cnf(p2519,plain,
    ( ~ spl27
    | ~ spl20
    | ~ spl8
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p2513,p193]) ).

cnf(p2524,plain,
    ( ~ spl27
    | ~ spl20
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2519]) ).

cnf(sct245,plain,
    ( ~ spl27
    | ~ spl20
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2524]) ).

cnf(p2522,plain,
    ( ~ spl20
    | ~ spl8
    | sk15 = n4 ),
    inference(superposition,[status(thm)],[p2513,c158]) ).

cnf(p2528,plain,
    ( ~ spl28
    | ~ spl20
    | ~ spl8
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p2522,p194]) ).

cnf(p2533,plain,
    ( ~ spl28
    | ~ spl20
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2528]) ).

cnf(sct246,plain,
    ( ~ spl28
    | ~ spl20
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2533]) ).

cnf(p2531,plain,
    ( ~ spl20
    | ~ spl8
    | sk17 = n5 ),
    inference(superposition,[status(thm)],[p2522,c160]) ).

cnf(p2537,plain,
    ( ~ spl29
    | ~ spl20
    | ~ spl8
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p2531,p195]) ).

cnf(p2542,plain,
    ( ~ spl29
    | ~ spl20
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2537]) ).

cnf(sct247,plain,
    ( ~ spl29
    | ~ spl20
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2542]) ).

cnf(p2540,plain,
    ( ~ spl20
    | ~ spl8
    | sk19 = n9 ),
    inference(superposition,[status(thm)],[p2531,c162]) ).

cnf(p2546,plain,
    ( ~ spl30
    | ~ spl20
    | ~ spl8
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p2540,p196]) ).

cnf(p2551,plain,
    ( ~ spl30
    | ~ spl20
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2546]) ).

cnf(sct248,plain,
    ( ~ spl30
    | ~ spl20
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2551]) ).

cnf(p2549,plain,
    ( ~ spl20
    | ~ spl8
    | sk21 = n3 ),
    inference(superposition,[status(thm)],[p2540,c164]) ).

cnf(p2553,plain,
    ( ~ spl31
    | ~ spl20
    | ~ spl8
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p2549,p197]) ).

cnf(p2554,plain,
    ( ~ spl31
    | ~ spl20
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2553]) ).

cnf(sct249,plain,
    ( ~ spl31
    | ~ spl20
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2554]) ).

cnf(p2468,plain,
    ( ~ spl8
    | sk3 = sum(n5,sum(pred(sk1),succ(sk1))) ),
    inference(superposition,[status(thm)],[p152,c146]) ).

cnf(p2556,plain,
    ( ~ spl21
    | ~ spl8
    | sk3 = n3 ),
    inference(superposition,[status(thm)],[p166,p2468]) ).

cnf(p2560,plain,
    ( ~ spl22
    | ~ spl21
    | ~ spl8
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p2556,p188]) ).

cnf(p2565,plain,
    ( ~ spl22
    | ~ spl21
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2560]) ).

cnf(sct250,plain,
    ( ~ spl22
    | ~ spl21
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2565]) ).

cnf(p2563,plain,
    ( ~ spl21
    | ~ spl8
    | sk5 = n1 ),
    inference(superposition,[status(thm)],[p2556,c148]) ).

cnf(p2569,plain,
    ( ~ spl23
    | ~ spl21
    | ~ spl8
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p2563,p189]) ).

cnf(p2574,plain,
    ( ~ spl23
    | ~ spl21
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2569]) ).

cnf(sct251,plain,
    ( ~ spl23
    | ~ spl21
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2574]) ).

cnf(p2572,plain,
    ( ~ spl21
    | ~ spl8
    | sk7 = n4 ),
    inference(superposition,[status(thm)],[p2563,c150]) ).

cnf(p2578,plain,
    ( ~ spl24
    | ~ spl21
    | ~ spl8
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p2572,p190]) ).

cnf(p2583,plain,
    ( ~ spl24
    | ~ spl21
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2578]) ).

cnf(sct252,plain,
    ( ~ spl24
    | ~ spl21
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2583]) ).

cnf(p2581,plain,
    ( ~ spl21
    | ~ spl8
    | sk9 = n5 ),
    inference(superposition,[status(thm)],[p2572,c152]) ).

cnf(p2587,plain,
    ( ~ spl25
    | ~ spl21
    | ~ spl8
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p2581,p191]) ).

cnf(p2592,plain,
    ( ~ spl25
    | ~ spl21
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2587]) ).

cnf(sct253,plain,
    ( ~ spl25
    | ~ spl21
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2592]) ).

cnf(p2590,plain,
    ( ~ spl21
    | ~ spl8
    | sk11 = n9 ),
    inference(superposition,[status(thm)],[p2581,c154]) ).

cnf(p2596,plain,
    ( ~ spl26
    | ~ spl21
    | ~ spl8
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p2590,p192]) ).

cnf(p2601,plain,
    ( ~ spl26
    | ~ spl21
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2596]) ).

cnf(sct254,plain,
    ( ~ spl26
    | ~ spl21
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2601]) ).

cnf(p2599,plain,
    ( ~ spl21
    | ~ spl8
    | sk13 = n3 ),
    inference(superposition,[status(thm)],[p2590,c156]) ).

cnf(p2605,plain,
    ( ~ spl27
    | ~ spl21
    | ~ spl8
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p2599,p193]) ).

cnf(p2610,plain,
    ( ~ spl27
    | ~ spl21
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2605]) ).

cnf(sct255,plain,
    ( ~ spl27
    | ~ spl21
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2610]) ).

cnf(p2608,plain,
    ( ~ spl21
    | ~ spl8
    | sk15 = n1 ),
    inference(superposition,[status(thm)],[p2599,c158]) ).

cnf(p2614,plain,
    ( ~ spl28
    | ~ spl21
    | ~ spl8
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p2608,p194]) ).

cnf(p2619,plain,
    ( ~ spl28
    | ~ spl21
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2614]) ).

cnf(sct256,plain,
    ( ~ spl28
    | ~ spl21
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2619]) ).

cnf(p2617,plain,
    ( ~ spl21
    | ~ spl8
    | sk17 = n4 ),
    inference(superposition,[status(thm)],[p2608,c160]) ).

cnf(p2623,plain,
    ( ~ spl29
    | ~ spl21
    | ~ spl8
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p2617,p195]) ).

cnf(p2628,plain,
    ( ~ spl29
    | ~ spl21
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2623]) ).

cnf(sct257,plain,
    ( ~ spl29
    | ~ spl21
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2628]) ).

cnf(p2626,plain,
    ( ~ spl21
    | ~ spl8
    | sk19 = n5 ),
    inference(superposition,[status(thm)],[p2617,c162]) ).

cnf(p2632,plain,
    ( ~ spl30
    | ~ spl21
    | ~ spl8
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p2626,p196]) ).

cnf(p2637,plain,
    ( ~ spl30
    | ~ spl21
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2632]) ).

cnf(sct258,plain,
    ( ~ spl30
    | ~ spl21
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2637]) ).

cnf(p2635,plain,
    ( ~ spl21
    | ~ spl8
    | sk21 = n9 ),
    inference(superposition,[status(thm)],[p2626,c164]) ).

cnf(p2639,plain,
    ( ~ spl31
    | ~ spl21
    | ~ spl8
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p2635,p197]) ).

cnf(p2640,plain,
    ( ~ spl31
    | ~ spl21
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2639]) ).

cnf(sct259,plain,
    ( ~ spl31
    | ~ spl21
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2640]) ).

cnf(p2642,plain,
    ( ~ spl19
    | ~ spl8
    | sk3 = n10 ),
    inference(superposition,[status(thm)],[p164,p2468]) ).

cnf(p2646,plain,
    ( ~ spl22
    | ~ spl19
    | ~ spl8
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p2642,p188]) ).

cnf(p2651,plain,
    ( ~ spl22
    | ~ spl19
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2646]) ).

cnf(sct260,plain,
    ( ~ spl22
    | ~ spl19
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2651]) ).

cnf(p2649,plain,
    ( ~ spl19
    | ~ spl8
    | sk5 = n7 ),
    inference(superposition,[status(thm)],[p2642,c148]) ).

cnf(p2655,plain,
    ( ~ spl23
    | ~ spl19
    | ~ spl8
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p2649,p189]) ).

cnf(p2660,plain,
    ( ~ spl23
    | ~ spl19
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2655]) ).

cnf(sct261,plain,
    ( ~ spl23
    | ~ spl19
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2660]) ).

cnf(p2658,plain,
    ( ~ spl19
    | ~ spl8
    | sk7 = n6 ),
    inference(superposition,[status(thm)],[p2649,c150]) ).

cnf(p2664,plain,
    ( ~ spl24
    | ~ spl19
    | ~ spl8
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p2658,p190]) ).

cnf(p2669,plain,
    ( ~ spl24
    | ~ spl19
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2664]) ).

cnf(sct262,plain,
    ( ~ spl24
    | ~ spl19
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2669]) ).

cnf(p2667,plain,
    ( ~ spl19
    | ~ spl8
    | sk9 = n2 ),
    inference(superposition,[status(thm)],[p2658,c152]) ).

cnf(p2673,plain,
    ( ~ spl25
    | ~ spl19
    | ~ spl8
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p2667,p191]) ).

cnf(p2678,plain,
    ( ~ spl25
    | ~ spl19
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2673]) ).

cnf(sct263,plain,
    ( ~ spl25
    | ~ spl19
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2678]) ).

cnf(p2676,plain,
    ( ~ spl19
    | ~ spl8
    | sk11 = n8 ),
    inference(superposition,[status(thm)],[p2667,c154]) ).

cnf(p2682,plain,
    ( ~ spl26
    | ~ spl19
    | ~ spl8
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p2676,p192]) ).

cnf(p2687,plain,
    ( ~ spl26
    | ~ spl19
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2682]) ).

cnf(sct264,plain,
    ( ~ spl26
    | ~ spl19
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2687]) ).

cnf(p2685,plain,
    ( ~ spl19
    | ~ spl8
    | sk13 = n10 ),
    inference(superposition,[status(thm)],[p2676,c156]) ).

cnf(p2691,plain,
    ( ~ spl27
    | ~ spl19
    | ~ spl8
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p2685,p193]) ).

cnf(p2696,plain,
    ( ~ spl27
    | ~ spl19
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2691]) ).

cnf(sct265,plain,
    ( ~ spl27
    | ~ spl19
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2696]) ).

cnf(p2694,plain,
    ( ~ spl19
    | ~ spl8
    | sk15 = n7 ),
    inference(superposition,[status(thm)],[p2685,c158]) ).

cnf(p2700,plain,
    ( ~ spl28
    | ~ spl19
    | ~ spl8
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p2694,p194]) ).

cnf(p2705,plain,
    ( ~ spl28
    | ~ spl19
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2700]) ).

cnf(sct266,plain,
    ( ~ spl28
    | ~ spl19
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2705]) ).

cnf(p2703,plain,
    ( ~ spl19
    | ~ spl8
    | sk17 = n6 ),
    inference(superposition,[status(thm)],[p2694,c160]) ).

cnf(p2709,plain,
    ( ~ spl29
    | ~ spl19
    | ~ spl8
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p2703,p195]) ).

cnf(p2714,plain,
    ( ~ spl29
    | ~ spl19
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2709]) ).

cnf(sct267,plain,
    ( ~ spl29
    | ~ spl19
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2714]) ).

cnf(p2712,plain,
    ( ~ spl19
    | ~ spl8
    | sk19 = n2 ),
    inference(superposition,[status(thm)],[p2703,c162]) ).

cnf(p2718,plain,
    ( ~ spl30
    | ~ spl19
    | ~ spl8
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p2712,p196]) ).

cnf(p2723,plain,
    ( ~ spl30
    | ~ spl19
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2718]) ).

cnf(sct268,plain,
    ( ~ spl30
    | ~ spl19
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2723]) ).

cnf(p2721,plain,
    ( ~ spl19
    | ~ spl8
    | sk21 = n8 ),
    inference(superposition,[status(thm)],[p2712,c164]) ).

cnf(p2725,plain,
    ( ~ spl31
    | ~ spl19
    | ~ spl8
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p2721,p197]) ).

cnf(p2726,plain,
    ( ~ spl31
    | ~ spl19
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2725]) ).

cnf(sct269,plain,
    ( ~ spl31
    | ~ spl19
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2726]) ).

cnf(p2728,plain,
    ( ~ spl18
    | ~ spl8
    | sk3 = n8 ),
    inference(superposition,[status(thm)],[p163,p2468]) ).

cnf(p2732,plain,
    ( ~ spl22
    | ~ spl18
    | ~ spl8
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p2728,p188]) ).

cnf(p2737,plain,
    ( ~ spl22
    | ~ spl18
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2732]) ).

cnf(sct270,plain,
    ( ~ spl22
    | ~ spl18
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2737]) ).

cnf(p2735,plain,
    ( ~ spl18
    | ~ spl8
    | sk5 = n10 ),
    inference(superposition,[status(thm)],[p2728,c148]) ).

cnf(p2741,plain,
    ( ~ spl23
    | ~ spl18
    | ~ spl8
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p2735,p189]) ).

cnf(p2746,plain,
    ( ~ spl23
    | ~ spl18
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2741]) ).

cnf(sct271,plain,
    ( ~ spl23
    | ~ spl18
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2746]) ).

cnf(p2744,plain,
    ( ~ spl18
    | ~ spl8
    | sk7 = n7 ),
    inference(superposition,[status(thm)],[p2735,c150]) ).

cnf(p2750,plain,
    ( ~ spl24
    | ~ spl18
    | ~ spl8
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p2744,p190]) ).

cnf(p2755,plain,
    ( ~ spl24
    | ~ spl18
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2750]) ).

cnf(sct272,plain,
    ( ~ spl24
    | ~ spl18
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2755]) ).

cnf(p2753,plain,
    ( ~ spl18
    | ~ spl8
    | sk9 = n6 ),
    inference(superposition,[status(thm)],[p2744,c152]) ).

cnf(p2759,plain,
    ( ~ spl25
    | ~ spl18
    | ~ spl8
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p2753,p191]) ).

cnf(p2764,plain,
    ( ~ spl25
    | ~ spl18
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2759]) ).

cnf(sct273,plain,
    ( ~ spl25
    | ~ spl18
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2764]) ).

cnf(p2762,plain,
    ( ~ spl18
    | ~ spl8
    | sk11 = n2 ),
    inference(superposition,[status(thm)],[p2753,c154]) ).

cnf(p2768,plain,
    ( ~ spl26
    | ~ spl18
    | ~ spl8
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p2762,p192]) ).

cnf(p2773,plain,
    ( ~ spl26
    | ~ spl18
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2768]) ).

cnf(sct274,plain,
    ( ~ spl26
    | ~ spl18
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2773]) ).

cnf(p2771,plain,
    ( ~ spl18
    | ~ spl8
    | sk13 = n8 ),
    inference(superposition,[status(thm)],[p2762,c156]) ).

cnf(p2777,plain,
    ( ~ spl27
    | ~ spl18
    | ~ spl8
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p2771,p193]) ).

cnf(p2782,plain,
    ( ~ spl27
    | ~ spl18
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2777]) ).

cnf(sct275,plain,
    ( ~ spl27
    | ~ spl18
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2782]) ).

cnf(p2780,plain,
    ( ~ spl18
    | ~ spl8
    | sk15 = n10 ),
    inference(superposition,[status(thm)],[p2771,c158]) ).

cnf(p2786,plain,
    ( ~ spl28
    | ~ spl18
    | ~ spl8
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p2780,p194]) ).

cnf(p2791,plain,
    ( ~ spl28
    | ~ spl18
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2786]) ).

cnf(sct276,plain,
    ( ~ spl28
    | ~ spl18
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2791]) ).

cnf(p2789,plain,
    ( ~ spl18
    | ~ spl8
    | sk17 = n7 ),
    inference(superposition,[status(thm)],[p2780,c160]) ).

cnf(p2795,plain,
    ( ~ spl29
    | ~ spl18
    | ~ spl8
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p2789,p195]) ).

cnf(p2800,plain,
    ( ~ spl29
    | ~ spl18
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2795]) ).

cnf(sct277,plain,
    ( ~ spl29
    | ~ spl18
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2800]) ).

cnf(p2798,plain,
    ( ~ spl18
    | ~ spl8
    | sk19 = n6 ),
    inference(superposition,[status(thm)],[p2789,c162]) ).

cnf(p2804,plain,
    ( ~ spl30
    | ~ spl18
    | ~ spl8
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p2798,p196]) ).

cnf(p2809,plain,
    ( ~ spl30
    | ~ spl18
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2804]) ).

cnf(sct278,plain,
    ( ~ spl30
    | ~ spl18
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2809]) ).

cnf(p2807,plain,
    ( ~ spl18
    | ~ spl8
    | sk21 = n2 ),
    inference(superposition,[status(thm)],[p2798,c164]) ).

cnf(p2811,plain,
    ( ~ spl31
    | ~ spl18
    | ~ spl8
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p2807,p197]) ).

cnf(p2812,plain,
    ( ~ spl31
    | ~ spl18
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2811]) ).

cnf(sct279,plain,
    ( ~ spl31
    | ~ spl18
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2812]) ).

cnf(p2814,plain,
    ( ~ spl17
    | ~ spl8
    | sk3 = n6 ),
    inference(superposition,[status(thm)],[p162,p2468]) ).

cnf(p2818,plain,
    ( ~ spl22
    | ~ spl17
    | ~ spl8
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p2814,p188]) ).

cnf(p2823,plain,
    ( ~ spl22
    | ~ spl17
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2818]) ).

cnf(sct280,plain,
    ( ~ spl22
    | ~ spl17
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2823]) ).

cnf(p2821,plain,
    ( ~ spl17
    | ~ spl8
    | sk5 = n2 ),
    inference(superposition,[status(thm)],[p2814,c148]) ).

cnf(p2827,plain,
    ( ~ spl23
    | ~ spl17
    | ~ spl8
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p2821,p189]) ).

cnf(p2832,plain,
    ( ~ spl23
    | ~ spl17
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2827]) ).

cnf(sct281,plain,
    ( ~ spl23
    | ~ spl17
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2832]) ).

cnf(p2830,plain,
    ( ~ spl17
    | ~ spl8
    | sk7 = n8 ),
    inference(superposition,[status(thm)],[p2821,c150]) ).

cnf(p2836,plain,
    ( ~ spl24
    | ~ spl17
    | ~ spl8
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p2830,p190]) ).

cnf(p2841,plain,
    ( ~ spl24
    | ~ spl17
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2836]) ).

cnf(sct282,plain,
    ( ~ spl24
    | ~ spl17
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2841]) ).

cnf(p2839,plain,
    ( ~ spl17
    | ~ spl8
    | sk9 = n10 ),
    inference(superposition,[status(thm)],[p2830,c152]) ).

cnf(p2845,plain,
    ( ~ spl25
    | ~ spl17
    | ~ spl8
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p2839,p191]) ).

cnf(p2850,plain,
    ( ~ spl25
    | ~ spl17
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2845]) ).

cnf(sct283,plain,
    ( ~ spl25
    | ~ spl17
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2850]) ).

cnf(p2848,plain,
    ( ~ spl17
    | ~ spl8
    | sk11 = n7 ),
    inference(superposition,[status(thm)],[p2839,c154]) ).

cnf(p2854,plain,
    ( ~ spl26
    | ~ spl17
    | ~ spl8
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p2848,p192]) ).

cnf(p2859,plain,
    ( ~ spl26
    | ~ spl17
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2854]) ).

cnf(sct284,plain,
    ( ~ spl26
    | ~ spl17
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2859]) ).

cnf(p2857,plain,
    ( ~ spl17
    | ~ spl8
    | sk13 = n6 ),
    inference(superposition,[status(thm)],[p2848,c156]) ).

cnf(p2863,plain,
    ( ~ spl27
    | ~ spl17
    | ~ spl8
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p2857,p193]) ).

cnf(p2868,plain,
    ( ~ spl27
    | ~ spl17
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2863]) ).

cnf(sct285,plain,
    ( ~ spl27
    | ~ spl17
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2868]) ).

cnf(p2866,plain,
    ( ~ spl17
    | ~ spl8
    | sk15 = n2 ),
    inference(superposition,[status(thm)],[p2857,c158]) ).

cnf(p2872,plain,
    ( ~ spl28
    | ~ spl17
    | ~ spl8
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p2866,p194]) ).

cnf(p2877,plain,
    ( ~ spl28
    | ~ spl17
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2872]) ).

cnf(sct286,plain,
    ( ~ spl28
    | ~ spl17
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2877]) ).

cnf(p2875,plain,
    ( ~ spl17
    | ~ spl8
    | sk17 = n8 ),
    inference(superposition,[status(thm)],[p2866,c160]) ).

cnf(p2881,plain,
    ( ~ spl29
    | ~ spl17
    | ~ spl8
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p2875,p195]) ).

cnf(p2886,plain,
    ( ~ spl29
    | ~ spl17
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2881]) ).

cnf(sct287,plain,
    ( ~ spl29
    | ~ spl17
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2886]) ).

cnf(p2884,plain,
    ( ~ spl17
    | ~ spl8
    | sk19 = n10 ),
    inference(superposition,[status(thm)],[p2875,c162]) ).

cnf(p2890,plain,
    ( ~ spl30
    | ~ spl17
    | ~ spl8
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p2884,p196]) ).

cnf(p2895,plain,
    ( ~ spl30
    | ~ spl17
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2890]) ).

cnf(sct288,plain,
    ( ~ spl30
    | ~ spl17
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2895]) ).

cnf(p2893,plain,
    ( ~ spl17
    | ~ spl8
    | sk21 = n7 ),
    inference(superposition,[status(thm)],[p2884,c164]) ).

cnf(p2897,plain,
    ( ~ spl31
    | ~ spl17
    | ~ spl8
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p2893,p197]) ).

cnf(p2898,plain,
    ( ~ spl31
    | ~ spl17
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2897]) ).

cnf(sct289,plain,
    ( ~ spl31
    | ~ spl17
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2898]) ).

cnf(p2900,plain,
    ( ~ spl16
    | ~ spl8
    | sk3 = n4 ),
    inference(superposition,[status(thm)],[p161,p2468]) ).

cnf(p2904,plain,
    ( ~ spl22
    | ~ spl16
    | ~ spl8
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p2900,p188]) ).

cnf(p2909,plain,
    ( ~ spl22
    | ~ spl16
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2904]) ).

cnf(sct290,plain,
    ( ~ spl22
    | ~ spl16
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2909]) ).

cnf(p2907,plain,
    ( ~ spl16
    | ~ spl8
    | sk5 = n5 ),
    inference(superposition,[status(thm)],[p2900,c148]) ).

cnf(p2913,plain,
    ( ~ spl23
    | ~ spl16
    | ~ spl8
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p2907,p189]) ).

cnf(p2918,plain,
    ( ~ spl23
    | ~ spl16
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2913]) ).

cnf(sct291,plain,
    ( ~ spl23
    | ~ spl16
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2918]) ).

cnf(p2916,plain,
    ( ~ spl16
    | ~ spl8
    | sk7 = n9 ),
    inference(superposition,[status(thm)],[p2907,c150]) ).

cnf(p2922,plain,
    ( ~ spl24
    | ~ spl16
    | ~ spl8
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p2916,p190]) ).

cnf(p2927,plain,
    ( ~ spl24
    | ~ spl16
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2922]) ).

cnf(sct292,plain,
    ( ~ spl24
    | ~ spl16
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2927]) ).

cnf(p2925,plain,
    ( ~ spl16
    | ~ spl8
    | sk9 = n3 ),
    inference(superposition,[status(thm)],[p2916,c152]) ).

cnf(p2931,plain,
    ( ~ spl25
    | ~ spl16
    | ~ spl8
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p2925,p191]) ).

cnf(p2936,plain,
    ( ~ spl25
    | ~ spl16
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2931]) ).

cnf(sct293,plain,
    ( ~ spl25
    | ~ spl16
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2936]) ).

cnf(p2934,plain,
    ( ~ spl16
    | ~ spl8
    | sk11 = n1 ),
    inference(superposition,[status(thm)],[p2925,c154]) ).

cnf(p2940,plain,
    ( ~ spl26
    | ~ spl16
    | ~ spl8
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p2934,p192]) ).

cnf(p2945,plain,
    ( ~ spl26
    | ~ spl16
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2940]) ).

cnf(sct294,plain,
    ( ~ spl26
    | ~ spl16
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2945]) ).

cnf(p2943,plain,
    ( ~ spl16
    | ~ spl8
    | sk13 = n4 ),
    inference(superposition,[status(thm)],[p2934,c156]) ).

cnf(p2949,plain,
    ( ~ spl27
    | ~ spl16
    | ~ spl8
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p2943,p193]) ).

cnf(p2954,plain,
    ( ~ spl27
    | ~ spl16
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2949]) ).

cnf(sct295,plain,
    ( ~ spl27
    | ~ spl16
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2954]) ).

cnf(p2952,plain,
    ( ~ spl16
    | ~ spl8
    | sk15 = n5 ),
    inference(superposition,[status(thm)],[p2943,c158]) ).

cnf(p2958,plain,
    ( ~ spl28
    | ~ spl16
    | ~ spl8
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p2952,p194]) ).

cnf(p2963,plain,
    ( ~ spl28
    | ~ spl16
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2958]) ).

cnf(sct296,plain,
    ( ~ spl28
    | ~ spl16
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2963]) ).

cnf(p2961,plain,
    ( ~ spl16
    | ~ spl8
    | sk17 = n9 ),
    inference(superposition,[status(thm)],[p2952,c160]) ).

cnf(p2967,plain,
    ( ~ spl29
    | ~ spl16
    | ~ spl8
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p2961,p195]) ).

cnf(p2972,plain,
    ( ~ spl29
    | ~ spl16
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2967]) ).

cnf(sct297,plain,
    ( ~ spl29
    | ~ spl16
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2972]) ).

cnf(p2970,plain,
    ( ~ spl16
    | ~ spl8
    | sk19 = n3 ),
    inference(superposition,[status(thm)],[p2961,c162]) ).

cnf(p2976,plain,
    ( ~ spl30
    | ~ spl16
    | ~ spl8
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p2970,p196]) ).

cnf(p2981,plain,
    ( ~ spl30
    | ~ spl16
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2976]) ).

cnf(sct298,plain,
    ( ~ spl30
    | ~ spl16
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2981]) ).

cnf(p2979,plain,
    ( ~ spl16
    | ~ spl8
    | sk21 = n1 ),
    inference(superposition,[status(thm)],[p2970,c164]) ).

cnf(p2983,plain,
    ( ~ spl31
    | ~ spl16
    | ~ spl8
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p2979,p197]) ).

cnf(p2984,plain,
    ( ~ spl31
    | ~ spl16
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2983]) ).

cnf(sct299,plain,
    ( ~ spl31
    | ~ spl16
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2984]) ).

cnf(p2986,plain,
    ( ~ spl15
    | ~ spl8
    | sk3 = n2 ),
    inference(superposition,[status(thm)],[p160,p2468]) ).

cnf(p2990,plain,
    ( ~ spl22
    | ~ spl15
    | ~ spl8
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p2986,p188]) ).

cnf(p2995,plain,
    ( ~ spl22
    | ~ spl15
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2990]) ).

cnf(sct300,plain,
    ( ~ spl22
    | ~ spl15
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p2995]) ).

cnf(p2993,plain,
    ( ~ spl15
    | ~ spl8
    | sk5 = n8 ),
    inference(superposition,[status(thm)],[p2986,c148]) ).

cnf(p2999,plain,
    ( ~ spl23
    | ~ spl15
    | ~ spl8
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p2993,p189]) ).

cnf(p3004,plain,
    ( ~ spl23
    | ~ spl15
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p2999]) ).

cnf(sct301,plain,
    ( ~ spl23
    | ~ spl15
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3004]) ).

cnf(p3002,plain,
    ( ~ spl15
    | ~ spl8
    | sk7 = n10 ),
    inference(superposition,[status(thm)],[p2993,c150]) ).

cnf(p3008,plain,
    ( ~ spl24
    | ~ spl15
    | ~ spl8
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p3002,p190]) ).

cnf(p3013,plain,
    ( ~ spl24
    | ~ spl15
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p3008]) ).

cnf(sct302,plain,
    ( ~ spl24
    | ~ spl15
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3013]) ).

cnf(p3011,plain,
    ( ~ spl15
    | ~ spl8
    | sk9 = n7 ),
    inference(superposition,[status(thm)],[p3002,c152]) ).

cnf(p3017,plain,
    ( ~ spl25
    | ~ spl15
    | ~ spl8
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p3011,p191]) ).

cnf(p3022,plain,
    ( ~ spl25
    | ~ spl15
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p3017]) ).

cnf(sct303,plain,
    ( ~ spl25
    | ~ spl15
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3022]) ).

cnf(p3020,plain,
    ( ~ spl15
    | ~ spl8
    | sk11 = n6 ),
    inference(superposition,[status(thm)],[p3011,c154]) ).

cnf(p3026,plain,
    ( ~ spl26
    | ~ spl15
    | ~ spl8
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p3020,p192]) ).

cnf(p3031,plain,
    ( ~ spl26
    | ~ spl15
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p3026]) ).

cnf(sct304,plain,
    ( ~ spl26
    | ~ spl15
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3031]) ).

cnf(p3029,plain,
    ( ~ spl15
    | ~ spl8
    | sk13 = n2 ),
    inference(superposition,[status(thm)],[p3020,c156]) ).

cnf(p3035,plain,
    ( ~ spl27
    | ~ spl15
    | ~ spl8
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p3029,p193]) ).

cnf(p3040,plain,
    ( ~ spl27
    | ~ spl15
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p3035]) ).

cnf(sct305,plain,
    ( ~ spl27
    | ~ spl15
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3040]) ).

cnf(p3038,plain,
    ( ~ spl15
    | ~ spl8
    | sk15 = n8 ),
    inference(superposition,[status(thm)],[p3029,c158]) ).

cnf(p3044,plain,
    ( ~ spl28
    | ~ spl15
    | ~ spl8
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p3038,p194]) ).

cnf(p3049,plain,
    ( ~ spl28
    | ~ spl15
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p3044]) ).

cnf(sct306,plain,
    ( ~ spl28
    | ~ spl15
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3049]) ).

cnf(p3047,plain,
    ( ~ spl15
    | ~ spl8
    | sk17 = n10 ),
    inference(superposition,[status(thm)],[p3038,c160]) ).

cnf(p3053,plain,
    ( ~ spl29
    | ~ spl15
    | ~ spl8
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p3047,p195]) ).

cnf(p3058,plain,
    ( ~ spl29
    | ~ spl15
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p3053]) ).

cnf(sct307,plain,
    ( ~ spl29
    | ~ spl15
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3058]) ).

cnf(p3056,plain,
    ( ~ spl15
    | ~ spl8
    | sk19 = n7 ),
    inference(superposition,[status(thm)],[p3047,c162]) ).

cnf(p3062,plain,
    ( ~ spl30
    | ~ spl15
    | ~ spl8
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p3056,p196]) ).

cnf(p3067,plain,
    ( ~ spl30
    | ~ spl15
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p3062]) ).

cnf(sct308,plain,
    ( ~ spl30
    | ~ spl15
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3067]) ).

cnf(p3065,plain,
    ( ~ spl15
    | ~ spl8
    | sk21 = n6 ),
    inference(superposition,[status(thm)],[p3056,c164]) ).

cnf(p3069,plain,
    ( ~ spl31
    | ~ spl15
    | ~ spl8
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p3065,p197]) ).

cnf(p3070,plain,
    ( ~ spl31
    | ~ spl15
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p3069]) ).

cnf(sct309,plain,
    ( ~ spl31
    | ~ spl15
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3070]) ).

cnf(p3072,plain,
    ( ~ spl14
    | ~ spl8
    | sk3 = n0 ),
    inference(superposition,[status(thm)],[p159,p2468]) ).

cnf(p3076,plain,
    ( ~ spl22
    | ~ spl14
    | ~ spl8
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p3072,p188]) ).

cnf(p3081,plain,
    ( ~ spl22
    | ~ spl14
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p3076]) ).

cnf(sct310,plain,
    ( ~ spl22
    | ~ spl14
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3081]) ).

cnf(p3079,plain,
    ( ~ spl14
    | ~ spl8
    | sk5 = n0 ),
    inference(superposition,[status(thm)],[p3072,c148]) ).

cnf(p3085,plain,
    ( ~ spl23
    | ~ spl14
    | ~ spl8
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p3079,p189]) ).

cnf(p3090,plain,
    ( ~ spl23
    | ~ spl14
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p3085]) ).

cnf(sct311,plain,
    ( ~ spl23
    | ~ spl14
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3090]) ).

cnf(p3088,plain,
    ( ~ spl14
    | ~ spl8
    | sk7 = n0 ),
    inference(superposition,[status(thm)],[p3079,c150]) ).

cnf(p3094,plain,
    ( ~ spl24
    | ~ spl14
    | ~ spl8
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p3088,p190]) ).

cnf(p3099,plain,
    ( ~ spl24
    | ~ spl14
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p3094]) ).

cnf(sct312,plain,
    ( ~ spl24
    | ~ spl14
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3099]) ).

cnf(p3097,plain,
    ( ~ spl14
    | ~ spl8
    | sk9 = n0 ),
    inference(superposition,[status(thm)],[p3088,c152]) ).

cnf(p3103,plain,
    ( ~ spl25
    | ~ spl14
    | ~ spl8
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p3097,p191]) ).

cnf(p3108,plain,
    ( ~ spl25
    | ~ spl14
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p3103]) ).

cnf(sct313,plain,
    ( ~ spl25
    | ~ spl14
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3108]) ).

cnf(p3106,plain,
    ( ~ spl14
    | ~ spl8
    | sk11 = n0 ),
    inference(superposition,[status(thm)],[p3097,c154]) ).

cnf(p3112,plain,
    ( ~ spl26
    | ~ spl14
    | ~ spl8
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p3106,p192]) ).

cnf(p3117,plain,
    ( ~ spl26
    | ~ spl14
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p3112]) ).

cnf(sct314,plain,
    ( ~ spl26
    | ~ spl14
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3117]) ).

cnf(p3115,plain,
    ( ~ spl14
    | ~ spl8
    | sk13 = n0 ),
    inference(superposition,[status(thm)],[p3106,c156]) ).

cnf(p3121,plain,
    ( ~ spl27
    | ~ spl14
    | ~ spl8
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p3115,p193]) ).

cnf(p3126,plain,
    ( ~ spl27
    | ~ spl14
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p3121]) ).

cnf(sct315,plain,
    ( ~ spl27
    | ~ spl14
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3126]) ).

cnf(p3124,plain,
    ( ~ spl14
    | ~ spl8
    | sk15 = n0 ),
    inference(superposition,[status(thm)],[p3115,c158]) ).

cnf(p3130,plain,
    ( ~ spl28
    | ~ spl14
    | ~ spl8
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p3124,p194]) ).

cnf(p3135,plain,
    ( ~ spl28
    | ~ spl14
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p3130]) ).

cnf(sct316,plain,
    ( ~ spl28
    | ~ spl14
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3135]) ).

cnf(p3133,plain,
    ( ~ spl14
    | ~ spl8
    | sk17 = n0 ),
    inference(superposition,[status(thm)],[p3124,c160]) ).

cnf(p3139,plain,
    ( ~ spl29
    | ~ spl14
    | ~ spl8
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p3133,p195]) ).

cnf(p3144,plain,
    ( ~ spl29
    | ~ spl14
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p3139]) ).

cnf(sct317,plain,
    ( ~ spl29
    | ~ spl14
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3144]) ).

cnf(p3142,plain,
    ( ~ spl14
    | ~ spl8
    | sk19 = n0 ),
    inference(superposition,[status(thm)],[p3133,c162]) ).

cnf(p3148,plain,
    ( ~ spl30
    | ~ spl14
    | ~ spl8
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p3142,p196]) ).

cnf(p3153,plain,
    ( ~ spl30
    | ~ spl14
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p3148]) ).

cnf(sct318,plain,
    ( ~ spl30
    | ~ spl14
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3153]) ).

cnf(p3151,plain,
    ( ~ spl14
    | ~ spl8
    | sk21 = n0 ),
    inference(superposition,[status(thm)],[p3142,c164]) ).

cnf(p3155,plain,
    ( ~ spl31
    | ~ spl14
    | ~ spl8
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p3151,p197]) ).

cnf(p3156,plain,
    ( ~ spl31
    | ~ spl14
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p3155]) ).

cnf(sct319,plain,
    ( ~ spl31
    | ~ spl14
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3156]) ).

cnf(p3158,plain,
    ( ~ spl13
    | ~ spl8
    | sk3 = n9 ),
    inference(superposition,[status(thm)],[p158,p2468]) ).

cnf(p3162,plain,
    ( ~ spl22
    | ~ spl13
    | ~ spl8
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p3158,p188]) ).

cnf(p3167,plain,
    ( ~ spl22
    | ~ spl13
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p3162]) ).

cnf(sct320,plain,
    ( ~ spl22
    | ~ spl13
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3167]) ).

cnf(p3165,plain,
    ( ~ spl13
    | ~ spl8
    | sk5 = n3 ),
    inference(superposition,[status(thm)],[p3158,c148]) ).

cnf(p3171,plain,
    ( ~ spl23
    | ~ spl13
    | ~ spl8
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p3165,p189]) ).

cnf(p3176,plain,
    ( ~ spl23
    | ~ spl13
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p3171]) ).

cnf(sct321,plain,
    ( ~ spl23
    | ~ spl13
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3176]) ).

cnf(p3174,plain,
    ( ~ spl13
    | ~ spl8
    | sk7 = n1 ),
    inference(superposition,[status(thm)],[p3165,c150]) ).

cnf(p3180,plain,
    ( ~ spl24
    | ~ spl13
    | ~ spl8
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p3174,p190]) ).

cnf(p3185,plain,
    ( ~ spl24
    | ~ spl13
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p3180]) ).

cnf(sct322,plain,
    ( ~ spl24
    | ~ spl13
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3185]) ).

cnf(p3183,plain,
    ( ~ spl13
    | ~ spl8
    | sk9 = n4 ),
    inference(superposition,[status(thm)],[p3174,c152]) ).

cnf(p3189,plain,
    ( ~ spl25
    | ~ spl13
    | ~ spl8
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p3183,p191]) ).

cnf(p3194,plain,
    ( ~ spl25
    | ~ spl13
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p3189]) ).

cnf(sct323,plain,
    ( ~ spl25
    | ~ spl13
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3194]) ).

cnf(p3192,plain,
    ( ~ spl13
    | ~ spl8
    | sk11 = n5 ),
    inference(superposition,[status(thm)],[p3183,c154]) ).

cnf(p3198,plain,
    ( ~ spl26
    | ~ spl13
    | ~ spl8
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p3192,p192]) ).

cnf(p3203,plain,
    ( ~ spl26
    | ~ spl13
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p3198]) ).

cnf(sct324,plain,
    ( ~ spl26
    | ~ spl13
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3203]) ).

cnf(p3201,plain,
    ( ~ spl13
    | ~ spl8
    | sk13 = n9 ),
    inference(superposition,[status(thm)],[p3192,c156]) ).

cnf(p3207,plain,
    ( ~ spl27
    | ~ spl13
    | ~ spl8
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p3201,p193]) ).

cnf(p3212,plain,
    ( ~ spl27
    | ~ spl13
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p3207]) ).

cnf(sct325,plain,
    ( ~ spl27
    | ~ spl13
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3212]) ).

cnf(p3210,plain,
    ( ~ spl13
    | ~ spl8
    | sk15 = n3 ),
    inference(superposition,[status(thm)],[p3201,c158]) ).

cnf(p3216,plain,
    ( ~ spl28
    | ~ spl13
    | ~ spl8
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p3210,p194]) ).

cnf(p3221,plain,
    ( ~ spl28
    | ~ spl13
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p3216]) ).

cnf(sct326,plain,
    ( ~ spl28
    | ~ spl13
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3221]) ).

cnf(p3219,plain,
    ( ~ spl13
    | ~ spl8
    | sk17 = n1 ),
    inference(superposition,[status(thm)],[p3210,c160]) ).

cnf(p3225,plain,
    ( ~ spl29
    | ~ spl13
    | ~ spl8
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p3219,p195]) ).

cnf(p3230,plain,
    ( ~ spl29
    | ~ spl13
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p3225]) ).

cnf(sct327,plain,
    ( ~ spl29
    | ~ spl13
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3230]) ).

cnf(p3228,plain,
    ( ~ spl13
    | ~ spl8
    | sk19 = n4 ),
    inference(superposition,[status(thm)],[p3219,c162]) ).

cnf(p3234,plain,
    ( ~ spl30
    | ~ spl13
    | ~ spl8
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p3228,p196]) ).

cnf(p3239,plain,
    ( ~ spl30
    | ~ spl13
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p3234]) ).

cnf(sct328,plain,
    ( ~ spl30
    | ~ spl13
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3239]) ).

cnf(p3237,plain,
    ( ~ spl13
    | ~ spl8
    | sk21 = n5 ),
    inference(superposition,[status(thm)],[p3228,c164]) ).

cnf(p3241,plain,
    ( ~ spl31
    | ~ spl13
    | ~ spl8
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p3237,p197]) ).

cnf(p3242,plain,
    ( ~ spl31
    | ~ spl13
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p3241]) ).

cnf(sct329,plain,
    ( ~ spl31
    | ~ spl13
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3242]) ).

cnf(p3244,plain,
    ( ~ spl12
    | ~ spl8
    | sk3 = n7 ),
    inference(superposition,[status(thm)],[p157,p2468]) ).

cnf(p3248,plain,
    ( ~ spl22
    | ~ spl12
    | ~ spl8
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p3244,p188]) ).

cnf(p3253,plain,
    ( ~ spl22
    | ~ spl12
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p3248]) ).

cnf(sct330,plain,
    ( ~ spl22
    | ~ spl12
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3253]) ).

cnf(p3251,plain,
    ( ~ spl12
    | ~ spl8
    | sk5 = n6 ),
    inference(superposition,[status(thm)],[p3244,c148]) ).

cnf(p3257,plain,
    ( ~ spl23
    | ~ spl12
    | ~ spl8
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p3251,p189]) ).

cnf(p3262,plain,
    ( ~ spl23
    | ~ spl12
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p3257]) ).

cnf(sct331,plain,
    ( ~ spl23
    | ~ spl12
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3262]) ).

cnf(p3260,plain,
    ( ~ spl12
    | ~ spl8
    | sk7 = n2 ),
    inference(superposition,[status(thm)],[p3251,c150]) ).

cnf(p3266,plain,
    ( ~ spl24
    | ~ spl12
    | ~ spl8
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p3260,p190]) ).

cnf(p3271,plain,
    ( ~ spl24
    | ~ spl12
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p3266]) ).

cnf(sct332,plain,
    ( ~ spl24
    | ~ spl12
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3271]) ).

cnf(p3269,plain,
    ( ~ spl12
    | ~ spl8
    | sk9 = n8 ),
    inference(superposition,[status(thm)],[p3260,c152]) ).

cnf(p3275,plain,
    ( ~ spl25
    | ~ spl12
    | ~ spl8
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p3269,p191]) ).

cnf(p3280,plain,
    ( ~ spl25
    | ~ spl12
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p3275]) ).

cnf(sct333,plain,
    ( ~ spl25
    | ~ spl12
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3280]) ).

cnf(p3278,plain,
    ( ~ spl12
    | ~ spl8
    | sk11 = n10 ),
    inference(superposition,[status(thm)],[p3269,c154]) ).

cnf(p3284,plain,
    ( ~ spl26
    | ~ spl12
    | ~ spl8
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p3278,p192]) ).

cnf(p3289,plain,
    ( ~ spl26
    | ~ spl12
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p3284]) ).

cnf(sct334,plain,
    ( ~ spl26
    | ~ spl12
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3289]) ).

cnf(p3287,plain,
    ( ~ spl12
    | ~ spl8
    | sk13 = n7 ),
    inference(superposition,[status(thm)],[p3278,c156]) ).

cnf(p3293,plain,
    ( ~ spl27
    | ~ spl12
    | ~ spl8
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p3287,p193]) ).

cnf(p3298,plain,
    ( ~ spl27
    | ~ spl12
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p3293]) ).

cnf(sct335,plain,
    ( ~ spl27
    | ~ spl12
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3298]) ).

cnf(p3296,plain,
    ( ~ spl12
    | ~ spl8
    | sk15 = n6 ),
    inference(superposition,[status(thm)],[p3287,c158]) ).

cnf(p3302,plain,
    ( ~ spl28
    | ~ spl12
    | ~ spl8
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p3296,p194]) ).

cnf(p3307,plain,
    ( ~ spl28
    | ~ spl12
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p3302]) ).

cnf(sct336,plain,
    ( ~ spl28
    | ~ spl12
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3307]) ).

cnf(p3305,plain,
    ( ~ spl12
    | ~ spl8
    | sk17 = n2 ),
    inference(superposition,[status(thm)],[p3296,c160]) ).

cnf(p3311,plain,
    ( ~ spl29
    | ~ spl12
    | ~ spl8
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p3305,p195]) ).

cnf(p3316,plain,
    ( ~ spl29
    | ~ spl12
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p3311]) ).

cnf(sct337,plain,
    ( ~ spl29
    | ~ spl12
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3316]) ).

cnf(p3314,plain,
    ( ~ spl12
    | ~ spl8
    | sk19 = n8 ),
    inference(superposition,[status(thm)],[p3305,c162]) ).

cnf(p3320,plain,
    ( ~ spl30
    | ~ spl12
    | ~ spl8
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p3314,p196]) ).

cnf(p3325,plain,
    ( ~ spl30
    | ~ spl12
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p3320]) ).

cnf(sct338,plain,
    ( ~ spl30
    | ~ spl12
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3325]) ).

cnf(p3323,plain,
    ( ~ spl12
    | ~ spl8
    | sk21 = n10 ),
    inference(superposition,[status(thm)],[p3314,c164]) ).

cnf(p3327,plain,
    ( ~ spl31
    | ~ spl12
    | ~ spl8
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p3323,p197]) ).

cnf(p3328,plain,
    ( ~ spl31
    | ~ spl12
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p3327]) ).

cnf(sct339,plain,
    ( ~ spl31
    | ~ spl12
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3328]) ).

cnf(p3330,plain,
    ( ~ spl11
    | ~ spl8
    | sk3 = n5 ),
    inference(superposition,[status(thm)],[p156,p2468]) ).

cnf(p3334,plain,
    ( ~ spl22
    | ~ spl11
    | ~ spl8
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p3330,p188]) ).

cnf(p3339,plain,
    ( ~ spl22
    | ~ spl11
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p3334]) ).

cnf(sct340,plain,
    ( ~ spl22
    | ~ spl11
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3339]) ).

cnf(p3337,plain,
    ( ~ spl11
    | ~ spl8
    | sk5 = n9 ),
    inference(superposition,[status(thm)],[p3330,c148]) ).

cnf(p3343,plain,
    ( ~ spl23
    | ~ spl11
    | ~ spl8
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p3337,p189]) ).

cnf(p3348,plain,
    ( ~ spl23
    | ~ spl11
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p3343]) ).

cnf(sct341,plain,
    ( ~ spl23
    | ~ spl11
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3348]) ).

cnf(p3346,plain,
    ( ~ spl11
    | ~ spl8
    | sk7 = n3 ),
    inference(superposition,[status(thm)],[p3337,c150]) ).

cnf(p3352,plain,
    ( ~ spl24
    | ~ spl11
    | ~ spl8
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p3346,p190]) ).

cnf(p3357,plain,
    ( ~ spl24
    | ~ spl11
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p3352]) ).

cnf(sct342,plain,
    ( ~ spl24
    | ~ spl11
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3357]) ).

cnf(p3355,plain,
    ( ~ spl11
    | ~ spl8
    | sk9 = n1 ),
    inference(superposition,[status(thm)],[p3346,c152]) ).

cnf(p3361,plain,
    ( ~ spl25
    | ~ spl11
    | ~ spl8
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p3355,p191]) ).

cnf(p3366,plain,
    ( ~ spl25
    | ~ spl11
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p3361]) ).

cnf(sct343,plain,
    ( ~ spl25
    | ~ spl11
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3366]) ).

cnf(p3364,plain,
    ( ~ spl11
    | ~ spl8
    | sk11 = n4 ),
    inference(superposition,[status(thm)],[p3355,c154]) ).

cnf(p3370,plain,
    ( ~ spl26
    | ~ spl11
    | ~ spl8
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p3364,p192]) ).

cnf(p3375,plain,
    ( ~ spl26
    | ~ spl11
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p3370]) ).

cnf(sct344,plain,
    ( ~ spl26
    | ~ spl11
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3375]) ).

cnf(p3373,plain,
    ( ~ spl11
    | ~ spl8
    | sk13 = n5 ),
    inference(superposition,[status(thm)],[p3364,c156]) ).

cnf(p3379,plain,
    ( ~ spl27
    | ~ spl11
    | ~ spl8
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p3373,p193]) ).

cnf(p3384,plain,
    ( ~ spl27
    | ~ spl11
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p3379]) ).

cnf(sct345,plain,
    ( ~ spl27
    | ~ spl11
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3384]) ).

cnf(p3382,plain,
    ( ~ spl11
    | ~ spl8
    | sk15 = n9 ),
    inference(superposition,[status(thm)],[p3373,c158]) ).

cnf(p3388,plain,
    ( ~ spl28
    | ~ spl11
    | ~ spl8
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p3382,p194]) ).

cnf(p3393,plain,
    ( ~ spl28
    | ~ spl11
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p3388]) ).

cnf(sct346,plain,
    ( ~ spl28
    | ~ spl11
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3393]) ).

cnf(p3391,plain,
    ( ~ spl11
    | ~ spl8
    | sk17 = n3 ),
    inference(superposition,[status(thm)],[p3382,c160]) ).

cnf(p3397,plain,
    ( ~ spl29
    | ~ spl11
    | ~ spl8
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p3391,p195]) ).

cnf(p3402,plain,
    ( ~ spl29
    | ~ spl11
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p3397]) ).

cnf(sct347,plain,
    ( ~ spl29
    | ~ spl11
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3402]) ).

cnf(p3400,plain,
    ( ~ spl11
    | ~ spl8
    | sk19 = n1 ),
    inference(superposition,[status(thm)],[p3391,c162]) ).

cnf(p3406,plain,
    ( ~ spl30
    | ~ spl11
    | ~ spl8
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p3400,p196]) ).

cnf(p3411,plain,
    ( ~ spl30
    | ~ spl11
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p3406]) ).

cnf(sct348,plain,
    ( ~ spl30
    | ~ spl11
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3411]) ).

cnf(p3409,plain,
    ( ~ spl11
    | ~ spl8
    | sk21 = n4 ),
    inference(superposition,[status(thm)],[p3400,c164]) ).

cnf(p3413,plain,
    ( ~ spl31
    | ~ spl11
    | ~ spl8
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p3409,p197]) ).

cnf(p3414,plain,
    ( ~ spl31
    | ~ spl11
    | ~ spl8
    | $false ),
    inference(equality_resolution,[status(thm)],[p3413]) ).

cnf(sct349,plain,
    ( ~ spl31
    | ~ spl11
    | ~ spl8 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3414]) ).

cnf(p3417,plain,
    ( ~ spl20
    | ~ spl7
    | sk3 = n10 ),
    inference(superposition,[status(thm)],[p151,p585]) ).

cnf(p3419,plain,
    ( ~ spl22
    | ~ spl20
    | ~ spl7
    | sk2 != n10 ),
    inference(superposition,[status(thm)],[p3417,p188]) ).

cnf(p3418,plain,
    ( ~ spl20
    | ~ spl7
    | sk2 = n10 ),
    inference(superposition,[status(thm)],[p151,p582]) ).

cnf(p3427,plain,
    ( ~ spl22
    | ~ spl20
    | ~ spl7
    | $false ),
    inference(resolution,[status(thm)],[p3419,p3418]) ).

cnf(sct350,plain,
    ( ~ spl22
    | ~ spl20
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3427]) ).

cnf(p3425,plain,
    ( ~ spl20
    | ~ spl7
    | sk5 = n7 ),
    inference(superposition,[status(thm)],[p3418,c148]) ).

cnf(p3431,plain,
    ( ~ spl23
    | ~ spl20
    | ~ spl7
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p3425,p189]) ).

cnf(p3436,plain,
    ( ~ spl23
    | ~ spl20
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3431]) ).

cnf(sct351,plain,
    ( ~ spl23
    | ~ spl20
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3436]) ).

cnf(p3434,plain,
    ( ~ spl20
    | ~ spl7
    | sk7 = n6 ),
    inference(superposition,[status(thm)],[p3425,c150]) ).

cnf(p3440,plain,
    ( ~ spl24
    | ~ spl20
    | ~ spl7
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p3434,p190]) ).

cnf(p3445,plain,
    ( ~ spl24
    | ~ spl20
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3440]) ).

cnf(sct352,plain,
    ( ~ spl24
    | ~ spl20
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3445]) ).

cnf(p3443,plain,
    ( ~ spl20
    | ~ spl7
    | sk9 = n2 ),
    inference(superposition,[status(thm)],[p3434,c152]) ).

cnf(p3449,plain,
    ( ~ spl25
    | ~ spl20
    | ~ spl7
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p3443,p191]) ).

cnf(p3454,plain,
    ( ~ spl25
    | ~ spl20
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3449]) ).

cnf(sct353,plain,
    ( ~ spl25
    | ~ spl20
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3454]) ).

cnf(p3452,plain,
    ( ~ spl20
    | ~ spl7
    | sk11 = n8 ),
    inference(superposition,[status(thm)],[p3443,c154]) ).

cnf(p3458,plain,
    ( ~ spl26
    | ~ spl20
    | ~ spl7
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p3452,p192]) ).

cnf(p3463,plain,
    ( ~ spl26
    | ~ spl20
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3458]) ).

cnf(sct354,plain,
    ( ~ spl26
    | ~ spl20
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3463]) ).

cnf(p3461,plain,
    ( ~ spl20
    | ~ spl7
    | sk13 = n10 ),
    inference(superposition,[status(thm)],[p3452,c156]) ).

cnf(p3467,plain,
    ( ~ spl27
    | ~ spl20
    | ~ spl7
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p3461,p193]) ).

cnf(p3472,plain,
    ( ~ spl27
    | ~ spl20
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3467]) ).

cnf(sct355,plain,
    ( ~ spl27
    | ~ spl20
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3472]) ).

cnf(p3470,plain,
    ( ~ spl20
    | ~ spl7
    | sk15 = n7 ),
    inference(superposition,[status(thm)],[p3461,c158]) ).

cnf(p3476,plain,
    ( ~ spl28
    | ~ spl20
    | ~ spl7
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p3470,p194]) ).

cnf(p3481,plain,
    ( ~ spl28
    | ~ spl20
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3476]) ).

cnf(sct356,plain,
    ( ~ spl28
    | ~ spl20
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3481]) ).

cnf(p3479,plain,
    ( ~ spl20
    | ~ spl7
    | sk17 = n6 ),
    inference(superposition,[status(thm)],[p3470,c160]) ).

cnf(p3485,plain,
    ( ~ spl29
    | ~ spl20
    | ~ spl7
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p3479,p195]) ).

cnf(p3490,plain,
    ( ~ spl29
    | ~ spl20
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3485]) ).

cnf(sct357,plain,
    ( ~ spl29
    | ~ spl20
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3490]) ).

cnf(p3488,plain,
    ( ~ spl20
    | ~ spl7
    | sk19 = n2 ),
    inference(superposition,[status(thm)],[p3479,c162]) ).

cnf(p3494,plain,
    ( ~ spl30
    | ~ spl20
    | ~ spl7
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p3488,p196]) ).

cnf(p3499,plain,
    ( ~ spl30
    | ~ spl20
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3494]) ).

cnf(sct358,plain,
    ( ~ spl30
    | ~ spl20
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3499]) ).

cnf(p3497,plain,
    ( ~ spl20
    | ~ spl7
    | sk21 = n8 ),
    inference(superposition,[status(thm)],[p3488,c164]) ).

cnf(p3501,plain,
    ( ~ spl31
    | ~ spl20
    | ~ spl7
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p3497,p197]) ).

cnf(p3502,plain,
    ( ~ spl31
    | ~ spl20
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3501]) ).

cnf(sct359,plain,
    ( ~ spl31
    | ~ spl20
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3502]) ).

cnf(p3416,plain,
    ( ~ spl7
    | sk3 = sum(n3,sum(pred(sk1),succ(sk1))) ),
    inference(superposition,[status(thm)],[p151,c146]) ).

cnf(p3504,plain,
    ( ~ spl21
    | ~ spl7
    | sk3 = n1 ),
    inference(superposition,[status(thm)],[p166,p3416]) ).

cnf(p3508,plain,
    ( ~ spl22
    | ~ spl21
    | ~ spl7
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p3504,p188]) ).

cnf(p3513,plain,
    ( ~ spl22
    | ~ spl21
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3508]) ).

cnf(sct360,plain,
    ( ~ spl22
    | ~ spl21
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3513]) ).

cnf(p3511,plain,
    ( ~ spl21
    | ~ spl7
    | sk5 = n4 ),
    inference(superposition,[status(thm)],[p3504,c148]) ).

cnf(p3517,plain,
    ( ~ spl23
    | ~ spl21
    | ~ spl7
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p3511,p189]) ).

cnf(p3522,plain,
    ( ~ spl23
    | ~ spl21
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3517]) ).

cnf(sct361,plain,
    ( ~ spl23
    | ~ spl21
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3522]) ).

cnf(p3520,plain,
    ( ~ spl21
    | ~ spl7
    | sk7 = n5 ),
    inference(superposition,[status(thm)],[p3511,c150]) ).

cnf(p3526,plain,
    ( ~ spl24
    | ~ spl21
    | ~ spl7
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p3520,p190]) ).

cnf(p3531,plain,
    ( ~ spl24
    | ~ spl21
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3526]) ).

cnf(sct362,plain,
    ( ~ spl24
    | ~ spl21
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3531]) ).

cnf(p3529,plain,
    ( ~ spl21
    | ~ spl7
    | sk9 = n9 ),
    inference(superposition,[status(thm)],[p3520,c152]) ).

cnf(p3535,plain,
    ( ~ spl25
    | ~ spl21
    | ~ spl7
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p3529,p191]) ).

cnf(p3540,plain,
    ( ~ spl25
    | ~ spl21
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3535]) ).

cnf(sct363,plain,
    ( ~ spl25
    | ~ spl21
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3540]) ).

cnf(p3538,plain,
    ( ~ spl21
    | ~ spl7
    | sk11 = n3 ),
    inference(superposition,[status(thm)],[p3529,c154]) ).

cnf(p3544,plain,
    ( ~ spl26
    | ~ spl21
    | ~ spl7
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p3538,p192]) ).

cnf(p3549,plain,
    ( ~ spl26
    | ~ spl21
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3544]) ).

cnf(sct364,plain,
    ( ~ spl26
    | ~ spl21
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3549]) ).

cnf(p3547,plain,
    ( ~ spl21
    | ~ spl7
    | sk13 = n1 ),
    inference(superposition,[status(thm)],[p3538,c156]) ).

cnf(p3553,plain,
    ( ~ spl27
    | ~ spl21
    | ~ spl7
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p3547,p193]) ).

cnf(p3558,plain,
    ( ~ spl27
    | ~ spl21
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3553]) ).

cnf(sct365,plain,
    ( ~ spl27
    | ~ spl21
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3558]) ).

cnf(p3556,plain,
    ( ~ spl21
    | ~ spl7
    | sk15 = n4 ),
    inference(superposition,[status(thm)],[p3547,c158]) ).

cnf(p3562,plain,
    ( ~ spl28
    | ~ spl21
    | ~ spl7
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p3556,p194]) ).

cnf(p3567,plain,
    ( ~ spl28
    | ~ spl21
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3562]) ).

cnf(sct366,plain,
    ( ~ spl28
    | ~ spl21
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3567]) ).

cnf(p3565,plain,
    ( ~ spl21
    | ~ spl7
    | sk17 = n5 ),
    inference(superposition,[status(thm)],[p3556,c160]) ).

cnf(p3571,plain,
    ( ~ spl29
    | ~ spl21
    | ~ spl7
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p3565,p195]) ).

cnf(p3576,plain,
    ( ~ spl29
    | ~ spl21
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3571]) ).

cnf(sct367,plain,
    ( ~ spl29
    | ~ spl21
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3576]) ).

cnf(p3574,plain,
    ( ~ spl21
    | ~ spl7
    | sk19 = n9 ),
    inference(superposition,[status(thm)],[p3565,c162]) ).

cnf(p3580,plain,
    ( ~ spl30
    | ~ spl21
    | ~ spl7
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p3574,p196]) ).

cnf(p3585,plain,
    ( ~ spl30
    | ~ spl21
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3580]) ).

cnf(sct368,plain,
    ( ~ spl30
    | ~ spl21
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3585]) ).

cnf(p3583,plain,
    ( ~ spl21
    | ~ spl7
    | sk21 = n3 ),
    inference(superposition,[status(thm)],[p3574,c164]) ).

cnf(p3587,plain,
    ( ~ spl31
    | ~ spl21
    | ~ spl7
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p3583,p197]) ).

cnf(p3588,plain,
    ( ~ spl31
    | ~ spl21
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3587]) ).

cnf(sct369,plain,
    ( ~ spl31
    | ~ spl21
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3588]) ).

cnf(p3590,plain,
    ( ~ spl19
    | ~ spl7
    | sk3 = n8 ),
    inference(superposition,[status(thm)],[p164,p3416]) ).

cnf(p3594,plain,
    ( ~ spl22
    | ~ spl19
    | ~ spl7
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p3590,p188]) ).

cnf(p3599,plain,
    ( ~ spl22
    | ~ spl19
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3594]) ).

cnf(sct370,plain,
    ( ~ spl22
    | ~ spl19
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3599]) ).

cnf(p3597,plain,
    ( ~ spl19
    | ~ spl7
    | sk5 = n10 ),
    inference(superposition,[status(thm)],[p3590,c148]) ).

cnf(p3603,plain,
    ( ~ spl23
    | ~ spl19
    | ~ spl7
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p3597,p189]) ).

cnf(p3608,plain,
    ( ~ spl23
    | ~ spl19
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3603]) ).

cnf(sct371,plain,
    ( ~ spl23
    | ~ spl19
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3608]) ).

cnf(p3606,plain,
    ( ~ spl19
    | ~ spl7
    | sk7 = n7 ),
    inference(superposition,[status(thm)],[p3597,c150]) ).

cnf(p3612,plain,
    ( ~ spl24
    | ~ spl19
    | ~ spl7
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p3606,p190]) ).

cnf(p3617,plain,
    ( ~ spl24
    | ~ spl19
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3612]) ).

cnf(sct372,plain,
    ( ~ spl24
    | ~ spl19
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3617]) ).

cnf(p3615,plain,
    ( ~ spl19
    | ~ spl7
    | sk9 = n6 ),
    inference(superposition,[status(thm)],[p3606,c152]) ).

cnf(p3621,plain,
    ( ~ spl25
    | ~ spl19
    | ~ spl7
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p3615,p191]) ).

cnf(p3626,plain,
    ( ~ spl25
    | ~ spl19
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3621]) ).

cnf(sct373,plain,
    ( ~ spl25
    | ~ spl19
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3626]) ).

cnf(p3624,plain,
    ( ~ spl19
    | ~ spl7
    | sk11 = n2 ),
    inference(superposition,[status(thm)],[p3615,c154]) ).

cnf(p3630,plain,
    ( ~ spl26
    | ~ spl19
    | ~ spl7
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p3624,p192]) ).

cnf(p3635,plain,
    ( ~ spl26
    | ~ spl19
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3630]) ).

cnf(sct374,plain,
    ( ~ spl26
    | ~ spl19
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3635]) ).

cnf(p3633,plain,
    ( ~ spl19
    | ~ spl7
    | sk13 = n8 ),
    inference(superposition,[status(thm)],[p3624,c156]) ).

cnf(p3639,plain,
    ( ~ spl27
    | ~ spl19
    | ~ spl7
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p3633,p193]) ).

cnf(p3644,plain,
    ( ~ spl27
    | ~ spl19
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3639]) ).

cnf(sct375,plain,
    ( ~ spl27
    | ~ spl19
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3644]) ).

cnf(p3642,plain,
    ( ~ spl19
    | ~ spl7
    | sk15 = n10 ),
    inference(superposition,[status(thm)],[p3633,c158]) ).

cnf(p3648,plain,
    ( ~ spl28
    | ~ spl19
    | ~ spl7
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p3642,p194]) ).

cnf(p3653,plain,
    ( ~ spl28
    | ~ spl19
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3648]) ).

cnf(sct376,plain,
    ( ~ spl28
    | ~ spl19
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3653]) ).

cnf(p3651,plain,
    ( ~ spl19
    | ~ spl7
    | sk17 = n7 ),
    inference(superposition,[status(thm)],[p3642,c160]) ).

cnf(p3657,plain,
    ( ~ spl29
    | ~ spl19
    | ~ spl7
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p3651,p195]) ).

cnf(p3662,plain,
    ( ~ spl29
    | ~ spl19
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3657]) ).

cnf(sct377,plain,
    ( ~ spl29
    | ~ spl19
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3662]) ).

cnf(p3660,plain,
    ( ~ spl19
    | ~ spl7
    | sk19 = n6 ),
    inference(superposition,[status(thm)],[p3651,c162]) ).

cnf(p3666,plain,
    ( ~ spl30
    | ~ spl19
    | ~ spl7
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p3660,p196]) ).

cnf(p3671,plain,
    ( ~ spl30
    | ~ spl19
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3666]) ).

cnf(sct378,plain,
    ( ~ spl30
    | ~ spl19
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3671]) ).

cnf(p3669,plain,
    ( ~ spl19
    | ~ spl7
    | sk21 = n2 ),
    inference(superposition,[status(thm)],[p3660,c164]) ).

cnf(p3673,plain,
    ( ~ spl31
    | ~ spl19
    | ~ spl7
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p3669,p197]) ).

cnf(p3674,plain,
    ( ~ spl31
    | ~ spl19
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3673]) ).

cnf(sct379,plain,
    ( ~ spl31
    | ~ spl19
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3674]) ).

cnf(p3676,plain,
    ( ~ spl18
    | ~ spl7
    | sk3 = n6 ),
    inference(superposition,[status(thm)],[p163,p3416]) ).

cnf(p3680,plain,
    ( ~ spl22
    | ~ spl18
    | ~ spl7
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p3676,p188]) ).

cnf(p3685,plain,
    ( ~ spl22
    | ~ spl18
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3680]) ).

cnf(sct380,plain,
    ( ~ spl22
    | ~ spl18
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3685]) ).

cnf(p3683,plain,
    ( ~ spl18
    | ~ spl7
    | sk5 = n2 ),
    inference(superposition,[status(thm)],[p3676,c148]) ).

cnf(p3689,plain,
    ( ~ spl23
    | ~ spl18
    | ~ spl7
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p3683,p189]) ).

cnf(p3694,plain,
    ( ~ spl23
    | ~ spl18
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3689]) ).

cnf(sct381,plain,
    ( ~ spl23
    | ~ spl18
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3694]) ).

cnf(p3692,plain,
    ( ~ spl18
    | ~ spl7
    | sk7 = n8 ),
    inference(superposition,[status(thm)],[p3683,c150]) ).

cnf(p3698,plain,
    ( ~ spl24
    | ~ spl18
    | ~ spl7
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p3692,p190]) ).

cnf(p3703,plain,
    ( ~ spl24
    | ~ spl18
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3698]) ).

cnf(sct382,plain,
    ( ~ spl24
    | ~ spl18
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3703]) ).

cnf(p3701,plain,
    ( ~ spl18
    | ~ spl7
    | sk9 = n10 ),
    inference(superposition,[status(thm)],[p3692,c152]) ).

cnf(p3707,plain,
    ( ~ spl25
    | ~ spl18
    | ~ spl7
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p3701,p191]) ).

cnf(p3712,plain,
    ( ~ spl25
    | ~ spl18
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3707]) ).

cnf(sct383,plain,
    ( ~ spl25
    | ~ spl18
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3712]) ).

cnf(p3710,plain,
    ( ~ spl18
    | ~ spl7
    | sk11 = n7 ),
    inference(superposition,[status(thm)],[p3701,c154]) ).

cnf(p3716,plain,
    ( ~ spl26
    | ~ spl18
    | ~ spl7
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p3710,p192]) ).

cnf(p3721,plain,
    ( ~ spl26
    | ~ spl18
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3716]) ).

cnf(sct384,plain,
    ( ~ spl26
    | ~ spl18
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3721]) ).

cnf(p3719,plain,
    ( ~ spl18
    | ~ spl7
    | sk13 = n6 ),
    inference(superposition,[status(thm)],[p3710,c156]) ).

cnf(p3725,plain,
    ( ~ spl27
    | ~ spl18
    | ~ spl7
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p3719,p193]) ).

cnf(p3730,plain,
    ( ~ spl27
    | ~ spl18
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3725]) ).

cnf(sct385,plain,
    ( ~ spl27
    | ~ spl18
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3730]) ).

cnf(p3728,plain,
    ( ~ spl18
    | ~ spl7
    | sk15 = n2 ),
    inference(superposition,[status(thm)],[p3719,c158]) ).

cnf(p3734,plain,
    ( ~ spl28
    | ~ spl18
    | ~ spl7
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p3728,p194]) ).

cnf(p3739,plain,
    ( ~ spl28
    | ~ spl18
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3734]) ).

cnf(sct386,plain,
    ( ~ spl28
    | ~ spl18
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3739]) ).

cnf(p3737,plain,
    ( ~ spl18
    | ~ spl7
    | sk17 = n8 ),
    inference(superposition,[status(thm)],[p3728,c160]) ).

cnf(p3743,plain,
    ( ~ spl29
    | ~ spl18
    | ~ spl7
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p3737,p195]) ).

cnf(p3748,plain,
    ( ~ spl29
    | ~ spl18
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3743]) ).

cnf(sct387,plain,
    ( ~ spl29
    | ~ spl18
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3748]) ).

cnf(p3746,plain,
    ( ~ spl18
    | ~ spl7
    | sk19 = n10 ),
    inference(superposition,[status(thm)],[p3737,c162]) ).

cnf(p3752,plain,
    ( ~ spl30
    | ~ spl18
    | ~ spl7
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p3746,p196]) ).

cnf(p3757,plain,
    ( ~ spl30
    | ~ spl18
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3752]) ).

cnf(sct388,plain,
    ( ~ spl30
    | ~ spl18
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3757]) ).

cnf(p3755,plain,
    ( ~ spl18
    | ~ spl7
    | sk21 = n7 ),
    inference(superposition,[status(thm)],[p3746,c164]) ).

cnf(p3759,plain,
    ( ~ spl31
    | ~ spl18
    | ~ spl7
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p3755,p197]) ).

cnf(p3760,plain,
    ( ~ spl31
    | ~ spl18
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3759]) ).

cnf(sct389,plain,
    ( ~ spl31
    | ~ spl18
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3760]) ).

cnf(p3762,plain,
    ( ~ spl17
    | ~ spl7
    | sk3 = n4 ),
    inference(superposition,[status(thm)],[p162,p3416]) ).

cnf(p3766,plain,
    ( ~ spl22
    | ~ spl17
    | ~ spl7
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p3762,p188]) ).

cnf(p3771,plain,
    ( ~ spl22
    | ~ spl17
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3766]) ).

cnf(sct390,plain,
    ( ~ spl22
    | ~ spl17
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3771]) ).

cnf(p3769,plain,
    ( ~ spl17
    | ~ spl7
    | sk5 = n5 ),
    inference(superposition,[status(thm)],[p3762,c148]) ).

cnf(p3775,plain,
    ( ~ spl23
    | ~ spl17
    | ~ spl7
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p3769,p189]) ).

cnf(p3780,plain,
    ( ~ spl23
    | ~ spl17
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3775]) ).

cnf(sct391,plain,
    ( ~ spl23
    | ~ spl17
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3780]) ).

cnf(p3778,plain,
    ( ~ spl17
    | ~ spl7
    | sk7 = n9 ),
    inference(superposition,[status(thm)],[p3769,c150]) ).

cnf(p3784,plain,
    ( ~ spl24
    | ~ spl17
    | ~ spl7
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p3778,p190]) ).

cnf(p3789,plain,
    ( ~ spl24
    | ~ spl17
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3784]) ).

cnf(sct392,plain,
    ( ~ spl24
    | ~ spl17
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3789]) ).

cnf(p3787,plain,
    ( ~ spl17
    | ~ spl7
    | sk9 = n3 ),
    inference(superposition,[status(thm)],[p3778,c152]) ).

cnf(p3793,plain,
    ( ~ spl25
    | ~ spl17
    | ~ spl7
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p3787,p191]) ).

cnf(p3798,plain,
    ( ~ spl25
    | ~ spl17
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3793]) ).

cnf(sct393,plain,
    ( ~ spl25
    | ~ spl17
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3798]) ).

cnf(p3796,plain,
    ( ~ spl17
    | ~ spl7
    | sk11 = n1 ),
    inference(superposition,[status(thm)],[p3787,c154]) ).

cnf(p3802,plain,
    ( ~ spl26
    | ~ spl17
    | ~ spl7
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p3796,p192]) ).

cnf(p3807,plain,
    ( ~ spl26
    | ~ spl17
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3802]) ).

cnf(sct394,plain,
    ( ~ spl26
    | ~ spl17
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3807]) ).

cnf(p3805,plain,
    ( ~ spl17
    | ~ spl7
    | sk13 = n4 ),
    inference(superposition,[status(thm)],[p3796,c156]) ).

cnf(p3811,plain,
    ( ~ spl27
    | ~ spl17
    | ~ spl7
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p3805,p193]) ).

cnf(p3816,plain,
    ( ~ spl27
    | ~ spl17
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3811]) ).

cnf(sct395,plain,
    ( ~ spl27
    | ~ spl17
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3816]) ).

cnf(p3814,plain,
    ( ~ spl17
    | ~ spl7
    | sk15 = n5 ),
    inference(superposition,[status(thm)],[p3805,c158]) ).

cnf(p3820,plain,
    ( ~ spl28
    | ~ spl17
    | ~ spl7
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p3814,p194]) ).

cnf(p3825,plain,
    ( ~ spl28
    | ~ spl17
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3820]) ).

cnf(sct396,plain,
    ( ~ spl28
    | ~ spl17
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3825]) ).

cnf(p3823,plain,
    ( ~ spl17
    | ~ spl7
    | sk17 = n9 ),
    inference(superposition,[status(thm)],[p3814,c160]) ).

cnf(p3829,plain,
    ( ~ spl29
    | ~ spl17
    | ~ spl7
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p3823,p195]) ).

cnf(p3834,plain,
    ( ~ spl29
    | ~ spl17
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3829]) ).

cnf(sct397,plain,
    ( ~ spl29
    | ~ spl17
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3834]) ).

cnf(p3832,plain,
    ( ~ spl17
    | ~ spl7
    | sk19 = n3 ),
    inference(superposition,[status(thm)],[p3823,c162]) ).

cnf(p3838,plain,
    ( ~ spl30
    | ~ spl17
    | ~ spl7
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p3832,p196]) ).

cnf(p3843,plain,
    ( ~ spl30
    | ~ spl17
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3838]) ).

cnf(sct398,plain,
    ( ~ spl30
    | ~ spl17
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3843]) ).

cnf(p3841,plain,
    ( ~ spl17
    | ~ spl7
    | sk21 = n1 ),
    inference(superposition,[status(thm)],[p3832,c164]) ).

cnf(p3845,plain,
    ( ~ spl31
    | ~ spl17
    | ~ spl7
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p3841,p197]) ).

cnf(p3846,plain,
    ( ~ spl31
    | ~ spl17
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3845]) ).

cnf(sct399,plain,
    ( ~ spl31
    | ~ spl17
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3846]) ).

cnf(p3848,plain,
    ( ~ spl16
    | ~ spl7
    | sk3 = n2 ),
    inference(superposition,[status(thm)],[p161,p3416]) ).

cnf(p3852,plain,
    ( ~ spl22
    | ~ spl16
    | ~ spl7
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p3848,p188]) ).

cnf(p3857,plain,
    ( ~ spl22
    | ~ spl16
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3852]) ).

cnf(sct400,plain,
    ( ~ spl22
    | ~ spl16
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3857]) ).

cnf(p3855,plain,
    ( ~ spl16
    | ~ spl7
    | sk5 = n8 ),
    inference(superposition,[status(thm)],[p3848,c148]) ).

cnf(p3861,plain,
    ( ~ spl23
    | ~ spl16
    | ~ spl7
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p3855,p189]) ).

cnf(p3866,plain,
    ( ~ spl23
    | ~ spl16
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3861]) ).

cnf(sct401,plain,
    ( ~ spl23
    | ~ spl16
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3866]) ).

cnf(p3864,plain,
    ( ~ spl16
    | ~ spl7
    | sk7 = n10 ),
    inference(superposition,[status(thm)],[p3855,c150]) ).

cnf(p3870,plain,
    ( ~ spl24
    | ~ spl16
    | ~ spl7
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p3864,p190]) ).

cnf(p3875,plain,
    ( ~ spl24
    | ~ spl16
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3870]) ).

cnf(sct402,plain,
    ( ~ spl24
    | ~ spl16
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3875]) ).

cnf(p3873,plain,
    ( ~ spl16
    | ~ spl7
    | sk9 = n7 ),
    inference(superposition,[status(thm)],[p3864,c152]) ).

cnf(p3879,plain,
    ( ~ spl25
    | ~ spl16
    | ~ spl7
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p3873,p191]) ).

cnf(p3884,plain,
    ( ~ spl25
    | ~ spl16
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3879]) ).

cnf(sct403,plain,
    ( ~ spl25
    | ~ spl16
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3884]) ).

cnf(p3882,plain,
    ( ~ spl16
    | ~ spl7
    | sk11 = n6 ),
    inference(superposition,[status(thm)],[p3873,c154]) ).

cnf(p3888,plain,
    ( ~ spl26
    | ~ spl16
    | ~ spl7
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p3882,p192]) ).

cnf(p3893,plain,
    ( ~ spl26
    | ~ spl16
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3888]) ).

cnf(sct404,plain,
    ( ~ spl26
    | ~ spl16
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3893]) ).

cnf(p3891,plain,
    ( ~ spl16
    | ~ spl7
    | sk13 = n2 ),
    inference(superposition,[status(thm)],[p3882,c156]) ).

cnf(p3897,plain,
    ( ~ spl27
    | ~ spl16
    | ~ spl7
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p3891,p193]) ).

cnf(p3902,plain,
    ( ~ spl27
    | ~ spl16
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3897]) ).

cnf(sct405,plain,
    ( ~ spl27
    | ~ spl16
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3902]) ).

cnf(p3900,plain,
    ( ~ spl16
    | ~ spl7
    | sk15 = n8 ),
    inference(superposition,[status(thm)],[p3891,c158]) ).

cnf(p3906,plain,
    ( ~ spl28
    | ~ spl16
    | ~ spl7
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p3900,p194]) ).

cnf(p3911,plain,
    ( ~ spl28
    | ~ spl16
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3906]) ).

cnf(sct406,plain,
    ( ~ spl28
    | ~ spl16
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3911]) ).

cnf(p3909,plain,
    ( ~ spl16
    | ~ spl7
    | sk17 = n10 ),
    inference(superposition,[status(thm)],[p3900,c160]) ).

cnf(p3915,plain,
    ( ~ spl29
    | ~ spl16
    | ~ spl7
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p3909,p195]) ).

cnf(p3920,plain,
    ( ~ spl29
    | ~ spl16
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3915]) ).

cnf(sct407,plain,
    ( ~ spl29
    | ~ spl16
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3920]) ).

cnf(p3918,plain,
    ( ~ spl16
    | ~ spl7
    | sk19 = n7 ),
    inference(superposition,[status(thm)],[p3909,c162]) ).

cnf(p3924,plain,
    ( ~ spl30
    | ~ spl16
    | ~ spl7
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p3918,p196]) ).

cnf(p3929,plain,
    ( ~ spl30
    | ~ spl16
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3924]) ).

cnf(sct408,plain,
    ( ~ spl30
    | ~ spl16
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3929]) ).

cnf(p3927,plain,
    ( ~ spl16
    | ~ spl7
    | sk21 = n6 ),
    inference(superposition,[status(thm)],[p3918,c164]) ).

cnf(p3931,plain,
    ( ~ spl31
    | ~ spl16
    | ~ spl7
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p3927,p197]) ).

cnf(p3932,plain,
    ( ~ spl31
    | ~ spl16
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3931]) ).

cnf(sct409,plain,
    ( ~ spl31
    | ~ spl16
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3932]) ).

cnf(p3934,plain,
    ( ~ spl15
    | ~ spl7
    | sk3 = n0 ),
    inference(superposition,[status(thm)],[p160,p3416]) ).

cnf(p3938,plain,
    ( ~ spl22
    | ~ spl15
    | ~ spl7
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p3934,p188]) ).

cnf(p3943,plain,
    ( ~ spl22
    | ~ spl15
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3938]) ).

cnf(sct410,plain,
    ( ~ spl22
    | ~ spl15
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3943]) ).

cnf(p3941,plain,
    ( ~ spl15
    | ~ spl7
    | sk5 = n0 ),
    inference(superposition,[status(thm)],[p3934,c148]) ).

cnf(p3947,plain,
    ( ~ spl23
    | ~ spl15
    | ~ spl7
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p3941,p189]) ).

cnf(p3952,plain,
    ( ~ spl23
    | ~ spl15
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3947]) ).

cnf(sct411,plain,
    ( ~ spl23
    | ~ spl15
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3952]) ).

cnf(p3950,plain,
    ( ~ spl15
    | ~ spl7
    | sk7 = n0 ),
    inference(superposition,[status(thm)],[p3941,c150]) ).

cnf(p3956,plain,
    ( ~ spl24
    | ~ spl15
    | ~ spl7
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p3950,p190]) ).

cnf(p3961,plain,
    ( ~ spl24
    | ~ spl15
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3956]) ).

cnf(sct412,plain,
    ( ~ spl24
    | ~ spl15
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3961]) ).

cnf(p3959,plain,
    ( ~ spl15
    | ~ spl7
    | sk9 = n0 ),
    inference(superposition,[status(thm)],[p3950,c152]) ).

cnf(p3965,plain,
    ( ~ spl25
    | ~ spl15
    | ~ spl7
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p3959,p191]) ).

cnf(p3970,plain,
    ( ~ spl25
    | ~ spl15
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3965]) ).

cnf(sct413,plain,
    ( ~ spl25
    | ~ spl15
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3970]) ).

cnf(p3968,plain,
    ( ~ spl15
    | ~ spl7
    | sk11 = n0 ),
    inference(superposition,[status(thm)],[p3959,c154]) ).

cnf(p3974,plain,
    ( ~ spl26
    | ~ spl15
    | ~ spl7
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p3968,p192]) ).

cnf(p3979,plain,
    ( ~ spl26
    | ~ spl15
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3974]) ).

cnf(sct414,plain,
    ( ~ spl26
    | ~ spl15
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3979]) ).

cnf(p3977,plain,
    ( ~ spl15
    | ~ spl7
    | sk13 = n0 ),
    inference(superposition,[status(thm)],[p3968,c156]) ).

cnf(p3983,plain,
    ( ~ spl27
    | ~ spl15
    | ~ spl7
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p3977,p193]) ).

cnf(p3988,plain,
    ( ~ spl27
    | ~ spl15
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3983]) ).

cnf(sct415,plain,
    ( ~ spl27
    | ~ spl15
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3988]) ).

cnf(p3986,plain,
    ( ~ spl15
    | ~ spl7
    | sk15 = n0 ),
    inference(superposition,[status(thm)],[p3977,c158]) ).

cnf(p3992,plain,
    ( ~ spl28
    | ~ spl15
    | ~ spl7
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p3986,p194]) ).

cnf(p3997,plain,
    ( ~ spl28
    | ~ spl15
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p3992]) ).

cnf(sct416,plain,
    ( ~ spl28
    | ~ spl15
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p3997]) ).

cnf(p3995,plain,
    ( ~ spl15
    | ~ spl7
    | sk17 = n0 ),
    inference(superposition,[status(thm)],[p3986,c160]) ).

cnf(p4001,plain,
    ( ~ spl29
    | ~ spl15
    | ~ spl7
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p3995,p195]) ).

cnf(p4006,plain,
    ( ~ spl29
    | ~ spl15
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p4001]) ).

cnf(sct417,plain,
    ( ~ spl29
    | ~ spl15
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4006]) ).

cnf(p4004,plain,
    ( ~ spl15
    | ~ spl7
    | sk19 = n0 ),
    inference(superposition,[status(thm)],[p3995,c162]) ).

cnf(p4010,plain,
    ( ~ spl30
    | ~ spl15
    | ~ spl7
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p4004,p196]) ).

cnf(p4015,plain,
    ( ~ spl30
    | ~ spl15
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p4010]) ).

cnf(sct418,plain,
    ( ~ spl30
    | ~ spl15
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4015]) ).

cnf(p4013,plain,
    ( ~ spl15
    | ~ spl7
    | sk21 = n0 ),
    inference(superposition,[status(thm)],[p4004,c164]) ).

cnf(p4017,plain,
    ( ~ spl31
    | ~ spl15
    | ~ spl7
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p4013,p197]) ).

cnf(p4018,plain,
    ( ~ spl31
    | ~ spl15
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p4017]) ).

cnf(sct419,plain,
    ( ~ spl31
    | ~ spl15
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4018]) ).

cnf(p4020,plain,
    ( ~ spl14
    | ~ spl7
    | sk3 = n9 ),
    inference(superposition,[status(thm)],[p159,p3416]) ).

cnf(p4024,plain,
    ( ~ spl22
    | ~ spl14
    | ~ spl7
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p4020,p188]) ).

cnf(p4029,plain,
    ( ~ spl22
    | ~ spl14
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p4024]) ).

cnf(sct420,plain,
    ( ~ spl22
    | ~ spl14
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4029]) ).

cnf(p4027,plain,
    ( ~ spl14
    | ~ spl7
    | sk5 = n3 ),
    inference(superposition,[status(thm)],[p4020,c148]) ).

cnf(p4033,plain,
    ( ~ spl23
    | ~ spl14
    | ~ spl7
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p4027,p189]) ).

cnf(p4038,plain,
    ( ~ spl23
    | ~ spl14
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p4033]) ).

cnf(sct421,plain,
    ( ~ spl23
    | ~ spl14
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4038]) ).

cnf(p4036,plain,
    ( ~ spl14
    | ~ spl7
    | sk7 = n1 ),
    inference(superposition,[status(thm)],[p4027,c150]) ).

cnf(p4042,plain,
    ( ~ spl24
    | ~ spl14
    | ~ spl7
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p4036,p190]) ).

cnf(p4047,plain,
    ( ~ spl24
    | ~ spl14
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p4042]) ).

cnf(sct422,plain,
    ( ~ spl24
    | ~ spl14
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4047]) ).

cnf(p4045,plain,
    ( ~ spl14
    | ~ spl7
    | sk9 = n4 ),
    inference(superposition,[status(thm)],[p4036,c152]) ).

cnf(p4051,plain,
    ( ~ spl25
    | ~ spl14
    | ~ spl7
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p4045,p191]) ).

cnf(p4056,plain,
    ( ~ spl25
    | ~ spl14
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p4051]) ).

cnf(sct423,plain,
    ( ~ spl25
    | ~ spl14
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4056]) ).

cnf(p4054,plain,
    ( ~ spl14
    | ~ spl7
    | sk11 = n5 ),
    inference(superposition,[status(thm)],[p4045,c154]) ).

cnf(p4060,plain,
    ( ~ spl26
    | ~ spl14
    | ~ spl7
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p4054,p192]) ).

cnf(p4065,plain,
    ( ~ spl26
    | ~ spl14
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p4060]) ).

cnf(sct424,plain,
    ( ~ spl26
    | ~ spl14
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4065]) ).

cnf(p4063,plain,
    ( ~ spl14
    | ~ spl7
    | sk13 = n9 ),
    inference(superposition,[status(thm)],[p4054,c156]) ).

cnf(p4069,plain,
    ( ~ spl27
    | ~ spl14
    | ~ spl7
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p4063,p193]) ).

cnf(p4074,plain,
    ( ~ spl27
    | ~ spl14
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p4069]) ).

cnf(sct425,plain,
    ( ~ spl27
    | ~ spl14
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4074]) ).

cnf(p4072,plain,
    ( ~ spl14
    | ~ spl7
    | sk15 = n3 ),
    inference(superposition,[status(thm)],[p4063,c158]) ).

cnf(p4078,plain,
    ( ~ spl28
    | ~ spl14
    | ~ spl7
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p4072,p194]) ).

cnf(p4083,plain,
    ( ~ spl28
    | ~ spl14
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p4078]) ).

cnf(sct426,plain,
    ( ~ spl28
    | ~ spl14
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4083]) ).

cnf(p4081,plain,
    ( ~ spl14
    | ~ spl7
    | sk17 = n1 ),
    inference(superposition,[status(thm)],[p4072,c160]) ).

cnf(p4087,plain,
    ( ~ spl29
    | ~ spl14
    | ~ spl7
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p4081,p195]) ).

cnf(p4092,plain,
    ( ~ spl29
    | ~ spl14
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p4087]) ).

cnf(sct427,plain,
    ( ~ spl29
    | ~ spl14
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4092]) ).

cnf(p4090,plain,
    ( ~ spl14
    | ~ spl7
    | sk19 = n4 ),
    inference(superposition,[status(thm)],[p4081,c162]) ).

cnf(p4096,plain,
    ( ~ spl30
    | ~ spl14
    | ~ spl7
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p4090,p196]) ).

cnf(p4101,plain,
    ( ~ spl30
    | ~ spl14
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p4096]) ).

cnf(sct428,plain,
    ( ~ spl30
    | ~ spl14
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4101]) ).

cnf(p4099,plain,
    ( ~ spl14
    | ~ spl7
    | sk21 = n5 ),
    inference(superposition,[status(thm)],[p4090,c164]) ).

cnf(p4103,plain,
    ( ~ spl31
    | ~ spl14
    | ~ spl7
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p4099,p197]) ).

cnf(p4104,plain,
    ( ~ spl31
    | ~ spl14
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p4103]) ).

cnf(sct429,plain,
    ( ~ spl31
    | ~ spl14
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4104]) ).

cnf(p4106,plain,
    ( ~ spl13
    | ~ spl7
    | sk3 = n7 ),
    inference(superposition,[status(thm)],[p158,p3416]) ).

cnf(p4110,plain,
    ( ~ spl22
    | ~ spl13
    | ~ spl7
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p4106,p188]) ).

cnf(p4115,plain,
    ( ~ spl22
    | ~ spl13
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p4110]) ).

cnf(sct430,plain,
    ( ~ spl22
    | ~ spl13
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4115]) ).

cnf(p4113,plain,
    ( ~ spl13
    | ~ spl7
    | sk5 = n6 ),
    inference(superposition,[status(thm)],[p4106,c148]) ).

cnf(p4119,plain,
    ( ~ spl23
    | ~ spl13
    | ~ spl7
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p4113,p189]) ).

cnf(p4124,plain,
    ( ~ spl23
    | ~ spl13
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p4119]) ).

cnf(sct431,plain,
    ( ~ spl23
    | ~ spl13
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4124]) ).

cnf(p4122,plain,
    ( ~ spl13
    | ~ spl7
    | sk7 = n2 ),
    inference(superposition,[status(thm)],[p4113,c150]) ).

cnf(p4128,plain,
    ( ~ spl24
    | ~ spl13
    | ~ spl7
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p4122,p190]) ).

cnf(p4133,plain,
    ( ~ spl24
    | ~ spl13
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p4128]) ).

cnf(sct432,plain,
    ( ~ spl24
    | ~ spl13
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4133]) ).

cnf(p4131,plain,
    ( ~ spl13
    | ~ spl7
    | sk9 = n8 ),
    inference(superposition,[status(thm)],[p4122,c152]) ).

cnf(p4137,plain,
    ( ~ spl25
    | ~ spl13
    | ~ spl7
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p4131,p191]) ).

cnf(p4142,plain,
    ( ~ spl25
    | ~ spl13
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p4137]) ).

cnf(sct433,plain,
    ( ~ spl25
    | ~ spl13
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4142]) ).

cnf(p4140,plain,
    ( ~ spl13
    | ~ spl7
    | sk11 = n10 ),
    inference(superposition,[status(thm)],[p4131,c154]) ).

cnf(p4146,plain,
    ( ~ spl26
    | ~ spl13
    | ~ spl7
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p4140,p192]) ).

cnf(p4151,plain,
    ( ~ spl26
    | ~ spl13
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p4146]) ).

cnf(sct434,plain,
    ( ~ spl26
    | ~ spl13
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4151]) ).

cnf(p4149,plain,
    ( ~ spl13
    | ~ spl7
    | sk13 = n7 ),
    inference(superposition,[status(thm)],[p4140,c156]) ).

cnf(p4155,plain,
    ( ~ spl27
    | ~ spl13
    | ~ spl7
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p4149,p193]) ).

cnf(p4160,plain,
    ( ~ spl27
    | ~ spl13
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p4155]) ).

cnf(sct435,plain,
    ( ~ spl27
    | ~ spl13
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4160]) ).

cnf(p4158,plain,
    ( ~ spl13
    | ~ spl7
    | sk15 = n6 ),
    inference(superposition,[status(thm)],[p4149,c158]) ).

cnf(p4164,plain,
    ( ~ spl28
    | ~ spl13
    | ~ spl7
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p4158,p194]) ).

cnf(p4169,plain,
    ( ~ spl28
    | ~ spl13
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p4164]) ).

cnf(sct436,plain,
    ( ~ spl28
    | ~ spl13
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4169]) ).

cnf(p4167,plain,
    ( ~ spl13
    | ~ spl7
    | sk17 = n2 ),
    inference(superposition,[status(thm)],[p4158,c160]) ).

cnf(p4173,plain,
    ( ~ spl29
    | ~ spl13
    | ~ spl7
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p4167,p195]) ).

cnf(p4178,plain,
    ( ~ spl29
    | ~ spl13
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p4173]) ).

cnf(sct437,plain,
    ( ~ spl29
    | ~ spl13
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4178]) ).

cnf(p4176,plain,
    ( ~ spl13
    | ~ spl7
    | sk19 = n8 ),
    inference(superposition,[status(thm)],[p4167,c162]) ).

cnf(p4182,plain,
    ( ~ spl30
    | ~ spl13
    | ~ spl7
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p4176,p196]) ).

cnf(p4187,plain,
    ( ~ spl30
    | ~ spl13
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p4182]) ).

cnf(sct438,plain,
    ( ~ spl30
    | ~ spl13
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4187]) ).

cnf(p4185,plain,
    ( ~ spl13
    | ~ spl7
    | sk21 = n10 ),
    inference(superposition,[status(thm)],[p4176,c164]) ).

cnf(p4189,plain,
    ( ~ spl31
    | ~ spl13
    | ~ spl7
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p4185,p197]) ).

cnf(p4190,plain,
    ( ~ spl31
    | ~ spl13
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p4189]) ).

cnf(sct439,plain,
    ( ~ spl31
    | ~ spl13
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4190]) ).

cnf(p4192,plain,
    ( ~ spl12
    | ~ spl7
    | sk3 = n5 ),
    inference(superposition,[status(thm)],[p157,p3416]) ).

cnf(p4196,plain,
    ( ~ spl22
    | ~ spl12
    | ~ spl7
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p4192,p188]) ).

cnf(p4201,plain,
    ( ~ spl22
    | ~ spl12
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p4196]) ).

cnf(sct440,plain,
    ( ~ spl22
    | ~ spl12
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4201]) ).

cnf(p4199,plain,
    ( ~ spl12
    | ~ spl7
    | sk5 = n9 ),
    inference(superposition,[status(thm)],[p4192,c148]) ).

cnf(p4205,plain,
    ( ~ spl23
    | ~ spl12
    | ~ spl7
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p4199,p189]) ).

cnf(p4210,plain,
    ( ~ spl23
    | ~ spl12
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p4205]) ).

cnf(sct441,plain,
    ( ~ spl23
    | ~ spl12
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4210]) ).

cnf(p4208,plain,
    ( ~ spl12
    | ~ spl7
    | sk7 = n3 ),
    inference(superposition,[status(thm)],[p4199,c150]) ).

cnf(p4214,plain,
    ( ~ spl24
    | ~ spl12
    | ~ spl7
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p4208,p190]) ).

cnf(p4219,plain,
    ( ~ spl24
    | ~ spl12
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p4214]) ).

cnf(sct442,plain,
    ( ~ spl24
    | ~ spl12
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4219]) ).

cnf(p4217,plain,
    ( ~ spl12
    | ~ spl7
    | sk9 = n1 ),
    inference(superposition,[status(thm)],[p4208,c152]) ).

cnf(p4223,plain,
    ( ~ spl25
    | ~ spl12
    | ~ spl7
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p4217,p191]) ).

cnf(p4228,plain,
    ( ~ spl25
    | ~ spl12
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p4223]) ).

cnf(sct443,plain,
    ( ~ spl25
    | ~ spl12
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4228]) ).

cnf(p4226,plain,
    ( ~ spl12
    | ~ spl7
    | sk11 = n4 ),
    inference(superposition,[status(thm)],[p4217,c154]) ).

cnf(p4232,plain,
    ( ~ spl26
    | ~ spl12
    | ~ spl7
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p4226,p192]) ).

cnf(p4237,plain,
    ( ~ spl26
    | ~ spl12
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p4232]) ).

cnf(sct444,plain,
    ( ~ spl26
    | ~ spl12
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4237]) ).

cnf(p4235,plain,
    ( ~ spl12
    | ~ spl7
    | sk13 = n5 ),
    inference(superposition,[status(thm)],[p4226,c156]) ).

cnf(p4241,plain,
    ( ~ spl27
    | ~ spl12
    | ~ spl7
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p4235,p193]) ).

cnf(p4246,plain,
    ( ~ spl27
    | ~ spl12
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p4241]) ).

cnf(sct445,plain,
    ( ~ spl27
    | ~ spl12
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4246]) ).

cnf(p4244,plain,
    ( ~ spl12
    | ~ spl7
    | sk15 = n9 ),
    inference(superposition,[status(thm)],[p4235,c158]) ).

cnf(p4250,plain,
    ( ~ spl28
    | ~ spl12
    | ~ spl7
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p4244,p194]) ).

cnf(p4255,plain,
    ( ~ spl28
    | ~ spl12
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p4250]) ).

cnf(sct446,plain,
    ( ~ spl28
    | ~ spl12
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4255]) ).

cnf(p4253,plain,
    ( ~ spl12
    | ~ spl7
    | sk17 = n3 ),
    inference(superposition,[status(thm)],[p4244,c160]) ).

cnf(p4259,plain,
    ( ~ spl29
    | ~ spl12
    | ~ spl7
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p4253,p195]) ).

cnf(p4264,plain,
    ( ~ spl29
    | ~ spl12
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p4259]) ).

cnf(sct447,plain,
    ( ~ spl29
    | ~ spl12
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4264]) ).

cnf(p4262,plain,
    ( ~ spl12
    | ~ spl7
    | sk19 = n1 ),
    inference(superposition,[status(thm)],[p4253,c162]) ).

cnf(p4268,plain,
    ( ~ spl30
    | ~ spl12
    | ~ spl7
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p4262,p196]) ).

cnf(p4273,plain,
    ( ~ spl30
    | ~ spl12
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p4268]) ).

cnf(sct448,plain,
    ( ~ spl30
    | ~ spl12
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4273]) ).

cnf(p4271,plain,
    ( ~ spl12
    | ~ spl7
    | sk21 = n4 ),
    inference(superposition,[status(thm)],[p4262,c164]) ).

cnf(p4275,plain,
    ( ~ spl31
    | ~ spl12
    | ~ spl7
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p4271,p197]) ).

cnf(p4276,plain,
    ( ~ spl31
    | ~ spl12
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p4275]) ).

cnf(sct449,plain,
    ( ~ spl31
    | ~ spl12
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4276]) ).

cnf(p4278,plain,
    ( ~ spl11
    | ~ spl7
    | sk3 = n3 ),
    inference(superposition,[status(thm)],[p156,p3416]) ).

cnf(p4282,plain,
    ( ~ spl22
    | ~ spl11
    | ~ spl7
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p4278,p188]) ).

cnf(p4287,plain,
    ( ~ spl22
    | ~ spl11
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p4282]) ).

cnf(sct450,plain,
    ( ~ spl22
    | ~ spl11
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4287]) ).

cnf(p4285,plain,
    ( ~ spl11
    | ~ spl7
    | sk5 = n1 ),
    inference(superposition,[status(thm)],[p4278,c148]) ).

cnf(p4291,plain,
    ( ~ spl23
    | ~ spl11
    | ~ spl7
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p4285,p189]) ).

cnf(p4296,plain,
    ( ~ spl23
    | ~ spl11
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p4291]) ).

cnf(sct451,plain,
    ( ~ spl23
    | ~ spl11
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4296]) ).

cnf(p4294,plain,
    ( ~ spl11
    | ~ spl7
    | sk7 = n4 ),
    inference(superposition,[status(thm)],[p4285,c150]) ).

cnf(p4300,plain,
    ( ~ spl24
    | ~ spl11
    | ~ spl7
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p4294,p190]) ).

cnf(p4305,plain,
    ( ~ spl24
    | ~ spl11
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p4300]) ).

cnf(sct452,plain,
    ( ~ spl24
    | ~ spl11
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4305]) ).

cnf(p4303,plain,
    ( ~ spl11
    | ~ spl7
    | sk9 = n5 ),
    inference(superposition,[status(thm)],[p4294,c152]) ).

cnf(p4309,plain,
    ( ~ spl25
    | ~ spl11
    | ~ spl7
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p4303,p191]) ).

cnf(p4314,plain,
    ( ~ spl25
    | ~ spl11
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p4309]) ).

cnf(sct453,plain,
    ( ~ spl25
    | ~ spl11
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4314]) ).

cnf(p4312,plain,
    ( ~ spl11
    | ~ spl7
    | sk11 = n9 ),
    inference(superposition,[status(thm)],[p4303,c154]) ).

cnf(p4318,plain,
    ( ~ spl26
    | ~ spl11
    | ~ spl7
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p4312,p192]) ).

cnf(p4323,plain,
    ( ~ spl26
    | ~ spl11
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p4318]) ).

cnf(sct454,plain,
    ( ~ spl26
    | ~ spl11
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4323]) ).

cnf(p4321,plain,
    ( ~ spl11
    | ~ spl7
    | sk13 = n3 ),
    inference(superposition,[status(thm)],[p4312,c156]) ).

cnf(p4327,plain,
    ( ~ spl27
    | ~ spl11
    | ~ spl7
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p4321,p193]) ).

cnf(p4332,plain,
    ( ~ spl27
    | ~ spl11
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p4327]) ).

cnf(sct455,plain,
    ( ~ spl27
    | ~ spl11
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4332]) ).

cnf(p4330,plain,
    ( ~ spl11
    | ~ spl7
    | sk15 = n1 ),
    inference(superposition,[status(thm)],[p4321,c158]) ).

cnf(p4336,plain,
    ( ~ spl28
    | ~ spl11
    | ~ spl7
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p4330,p194]) ).

cnf(p4341,plain,
    ( ~ spl28
    | ~ spl11
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p4336]) ).

cnf(sct456,plain,
    ( ~ spl28
    | ~ spl11
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4341]) ).

cnf(p4339,plain,
    ( ~ spl11
    | ~ spl7
    | sk17 = n4 ),
    inference(superposition,[status(thm)],[p4330,c160]) ).

cnf(p4345,plain,
    ( ~ spl29
    | ~ spl11
    | ~ spl7
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p4339,p195]) ).

cnf(p4350,plain,
    ( ~ spl29
    | ~ spl11
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p4345]) ).

cnf(sct457,plain,
    ( ~ spl29
    | ~ spl11
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4350]) ).

cnf(p4348,plain,
    ( ~ spl11
    | ~ spl7
    | sk19 = n5 ),
    inference(superposition,[status(thm)],[p4339,c162]) ).

cnf(p4354,plain,
    ( ~ spl30
    | ~ spl11
    | ~ spl7
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p4348,p196]) ).

cnf(p4359,plain,
    ( ~ spl30
    | ~ spl11
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p4354]) ).

cnf(sct458,plain,
    ( ~ spl30
    | ~ spl11
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4359]) ).

cnf(p4357,plain,
    ( ~ spl11
    | ~ spl7
    | sk21 = n9 ),
    inference(superposition,[status(thm)],[p4348,c164]) ).

cnf(p4361,plain,
    ( ~ spl31
    | ~ spl11
    | ~ spl7
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p4357,p197]) ).

cnf(p4362,plain,
    ( ~ spl31
    | ~ spl11
    | ~ spl7
    | $false ),
    inference(equality_resolution,[status(thm)],[p4361]) ).

cnf(sct459,plain,
    ( ~ spl31
    | ~ spl11
    | ~ spl7 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4362]) ).

cnf(p4365,plain,
    ( ~ spl20
    | ~ spl6
    | sk3 = n8 ),
    inference(superposition,[status(thm)],[p150,p585]) ).

cnf(p4367,plain,
    ( ~ spl22
    | ~ spl20
    | ~ spl6
    | sk2 != n8 ),
    inference(superposition,[status(thm)],[p4365,p188]) ).

cnf(p4366,plain,
    ( ~ spl20
    | ~ spl6
    | sk2 = n8 ),
    inference(superposition,[status(thm)],[p150,p582]) ).

cnf(p4375,plain,
    ( ~ spl22
    | ~ spl20
    | ~ spl6
    | $false ),
    inference(resolution,[status(thm)],[p4367,p4366]) ).

cnf(sct460,plain,
    ( ~ spl22
    | ~ spl20
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4375]) ).

cnf(p4373,plain,
    ( ~ spl20
    | ~ spl6
    | sk5 = n10 ),
    inference(superposition,[status(thm)],[p4366,c148]) ).

cnf(p4379,plain,
    ( ~ spl23
    | ~ spl20
    | ~ spl6
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p4373,p189]) ).

cnf(p4384,plain,
    ( ~ spl23
    | ~ spl20
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4379]) ).

cnf(sct461,plain,
    ( ~ spl23
    | ~ spl20
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4384]) ).

cnf(p4382,plain,
    ( ~ spl20
    | ~ spl6
    | sk7 = n7 ),
    inference(superposition,[status(thm)],[p4373,c150]) ).

cnf(p4388,plain,
    ( ~ spl24
    | ~ spl20
    | ~ spl6
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p4382,p190]) ).

cnf(p4393,plain,
    ( ~ spl24
    | ~ spl20
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4388]) ).

cnf(sct462,plain,
    ( ~ spl24
    | ~ spl20
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4393]) ).

cnf(p4391,plain,
    ( ~ spl20
    | ~ spl6
    | sk9 = n6 ),
    inference(superposition,[status(thm)],[p4382,c152]) ).

cnf(p4397,plain,
    ( ~ spl25
    | ~ spl20
    | ~ spl6
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p4391,p191]) ).

cnf(p4402,plain,
    ( ~ spl25
    | ~ spl20
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4397]) ).

cnf(sct463,plain,
    ( ~ spl25
    | ~ spl20
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4402]) ).

cnf(p4400,plain,
    ( ~ spl20
    | ~ spl6
    | sk11 = n2 ),
    inference(superposition,[status(thm)],[p4391,c154]) ).

cnf(p4406,plain,
    ( ~ spl26
    | ~ spl20
    | ~ spl6
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p4400,p192]) ).

cnf(p4411,plain,
    ( ~ spl26
    | ~ spl20
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4406]) ).

cnf(sct464,plain,
    ( ~ spl26
    | ~ spl20
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4411]) ).

cnf(p4409,plain,
    ( ~ spl20
    | ~ spl6
    | sk13 = n8 ),
    inference(superposition,[status(thm)],[p4400,c156]) ).

cnf(p4415,plain,
    ( ~ spl27
    | ~ spl20
    | ~ spl6
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p4409,p193]) ).

cnf(p4420,plain,
    ( ~ spl27
    | ~ spl20
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4415]) ).

cnf(sct465,plain,
    ( ~ spl27
    | ~ spl20
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4420]) ).

cnf(p4418,plain,
    ( ~ spl20
    | ~ spl6
    | sk15 = n10 ),
    inference(superposition,[status(thm)],[p4409,c158]) ).

cnf(p4424,plain,
    ( ~ spl28
    | ~ spl20
    | ~ spl6
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p4418,p194]) ).

cnf(p4429,plain,
    ( ~ spl28
    | ~ spl20
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4424]) ).

cnf(sct466,plain,
    ( ~ spl28
    | ~ spl20
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4429]) ).

cnf(p4427,plain,
    ( ~ spl20
    | ~ spl6
    | sk17 = n7 ),
    inference(superposition,[status(thm)],[p4418,c160]) ).

cnf(p4433,plain,
    ( ~ spl29
    | ~ spl20
    | ~ spl6
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p4427,p195]) ).

cnf(p4438,plain,
    ( ~ spl29
    | ~ spl20
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4433]) ).

cnf(sct467,plain,
    ( ~ spl29
    | ~ spl20
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4438]) ).

cnf(p4436,plain,
    ( ~ spl20
    | ~ spl6
    | sk19 = n6 ),
    inference(superposition,[status(thm)],[p4427,c162]) ).

cnf(p4442,plain,
    ( ~ spl30
    | ~ spl20
    | ~ spl6
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p4436,p196]) ).

cnf(p4447,plain,
    ( ~ spl30
    | ~ spl20
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4442]) ).

cnf(sct468,plain,
    ( ~ spl30
    | ~ spl20
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4447]) ).

cnf(p4445,plain,
    ( ~ spl20
    | ~ spl6
    | sk21 = n2 ),
    inference(superposition,[status(thm)],[p4436,c164]) ).

cnf(p4449,plain,
    ( ~ spl31
    | ~ spl20
    | ~ spl6
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p4445,p197]) ).

cnf(p4450,plain,
    ( ~ spl31
    | ~ spl20
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4449]) ).

cnf(sct469,plain,
    ( ~ spl31
    | ~ spl20
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4450]) ).

cnf(p4364,plain,
    ( ~ spl6
    | sk3 = sum(n1,sum(pred(sk1),succ(sk1))) ),
    inference(superposition,[status(thm)],[p150,c146]) ).

cnf(p4452,plain,
    ( ~ spl21
    | ~ spl6
    | sk3 = n10 ),
    inference(superposition,[status(thm)],[p166,p4364]) ).

cnf(p4456,plain,
    ( ~ spl22
    | ~ spl21
    | ~ spl6
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p4452,p188]) ).

cnf(p4461,plain,
    ( ~ spl22
    | ~ spl21
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4456]) ).

cnf(sct470,plain,
    ( ~ spl22
    | ~ spl21
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4461]) ).

cnf(p4459,plain,
    ( ~ spl21
    | ~ spl6
    | sk5 = n7 ),
    inference(superposition,[status(thm)],[p4452,c148]) ).

cnf(p4465,plain,
    ( ~ spl23
    | ~ spl21
    | ~ spl6
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p4459,p189]) ).

cnf(p4470,plain,
    ( ~ spl23
    | ~ spl21
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4465]) ).

cnf(sct471,plain,
    ( ~ spl23
    | ~ spl21
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4470]) ).

cnf(p4468,plain,
    ( ~ spl21
    | ~ spl6
    | sk7 = n6 ),
    inference(superposition,[status(thm)],[p4459,c150]) ).

cnf(p4474,plain,
    ( ~ spl24
    | ~ spl21
    | ~ spl6
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p4468,p190]) ).

cnf(p4479,plain,
    ( ~ spl24
    | ~ spl21
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4474]) ).

cnf(sct472,plain,
    ( ~ spl24
    | ~ spl21
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4479]) ).

cnf(p4477,plain,
    ( ~ spl21
    | ~ spl6
    | sk9 = n2 ),
    inference(superposition,[status(thm)],[p4468,c152]) ).

cnf(p4483,plain,
    ( ~ spl25
    | ~ spl21
    | ~ spl6
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p4477,p191]) ).

cnf(p4488,plain,
    ( ~ spl25
    | ~ spl21
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4483]) ).

cnf(sct473,plain,
    ( ~ spl25
    | ~ spl21
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4488]) ).

cnf(p4486,plain,
    ( ~ spl21
    | ~ spl6
    | sk11 = n8 ),
    inference(superposition,[status(thm)],[p4477,c154]) ).

cnf(p4492,plain,
    ( ~ spl26
    | ~ spl21
    | ~ spl6
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p4486,p192]) ).

cnf(p4497,plain,
    ( ~ spl26
    | ~ spl21
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4492]) ).

cnf(sct474,plain,
    ( ~ spl26
    | ~ spl21
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4497]) ).

cnf(p4495,plain,
    ( ~ spl21
    | ~ spl6
    | sk13 = n10 ),
    inference(superposition,[status(thm)],[p4486,c156]) ).

cnf(p4501,plain,
    ( ~ spl27
    | ~ spl21
    | ~ spl6
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p4495,p193]) ).

cnf(p4506,plain,
    ( ~ spl27
    | ~ spl21
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4501]) ).

cnf(sct475,plain,
    ( ~ spl27
    | ~ spl21
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4506]) ).

cnf(p4504,plain,
    ( ~ spl21
    | ~ spl6
    | sk15 = n7 ),
    inference(superposition,[status(thm)],[p4495,c158]) ).

cnf(p4510,plain,
    ( ~ spl28
    | ~ spl21
    | ~ spl6
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p4504,p194]) ).

cnf(p4515,plain,
    ( ~ spl28
    | ~ spl21
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4510]) ).

cnf(sct476,plain,
    ( ~ spl28
    | ~ spl21
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4515]) ).

cnf(p4513,plain,
    ( ~ spl21
    | ~ spl6
    | sk17 = n6 ),
    inference(superposition,[status(thm)],[p4504,c160]) ).

cnf(p4519,plain,
    ( ~ spl29
    | ~ spl21
    | ~ spl6
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p4513,p195]) ).

cnf(p4524,plain,
    ( ~ spl29
    | ~ spl21
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4519]) ).

cnf(sct477,plain,
    ( ~ spl29
    | ~ spl21
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4524]) ).

cnf(p4522,plain,
    ( ~ spl21
    | ~ spl6
    | sk19 = n2 ),
    inference(superposition,[status(thm)],[p4513,c162]) ).

cnf(p4528,plain,
    ( ~ spl30
    | ~ spl21
    | ~ spl6
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p4522,p196]) ).

cnf(p4533,plain,
    ( ~ spl30
    | ~ spl21
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4528]) ).

cnf(sct478,plain,
    ( ~ spl30
    | ~ spl21
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4533]) ).

cnf(p4531,plain,
    ( ~ spl21
    | ~ spl6
    | sk21 = n8 ),
    inference(superposition,[status(thm)],[p4522,c164]) ).

cnf(p4535,plain,
    ( ~ spl31
    | ~ spl21
    | ~ spl6
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p4531,p197]) ).

cnf(p4536,plain,
    ( ~ spl31
    | ~ spl21
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4535]) ).

cnf(sct479,plain,
    ( ~ spl31
    | ~ spl21
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4536]) ).

cnf(p4538,plain,
    ( ~ spl19
    | ~ spl6
    | sk3 = n6 ),
    inference(superposition,[status(thm)],[p164,p4364]) ).

cnf(p4542,plain,
    ( ~ spl22
    | ~ spl19
    | ~ spl6
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p4538,p188]) ).

cnf(p4547,plain,
    ( ~ spl22
    | ~ spl19
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4542]) ).

cnf(sct480,plain,
    ( ~ spl22
    | ~ spl19
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4547]) ).

cnf(p4545,plain,
    ( ~ spl19
    | ~ spl6
    | sk5 = n2 ),
    inference(superposition,[status(thm)],[p4538,c148]) ).

cnf(p4551,plain,
    ( ~ spl23
    | ~ spl19
    | ~ spl6
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p4545,p189]) ).

cnf(p4556,plain,
    ( ~ spl23
    | ~ spl19
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4551]) ).

cnf(sct481,plain,
    ( ~ spl23
    | ~ spl19
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4556]) ).

cnf(p4554,plain,
    ( ~ spl19
    | ~ spl6
    | sk7 = n8 ),
    inference(superposition,[status(thm)],[p4545,c150]) ).

cnf(p4560,plain,
    ( ~ spl24
    | ~ spl19
    | ~ spl6
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p4554,p190]) ).

cnf(p4565,plain,
    ( ~ spl24
    | ~ spl19
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4560]) ).

cnf(sct482,plain,
    ( ~ spl24
    | ~ spl19
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4565]) ).

cnf(p4563,plain,
    ( ~ spl19
    | ~ spl6
    | sk9 = n10 ),
    inference(superposition,[status(thm)],[p4554,c152]) ).

cnf(p4569,plain,
    ( ~ spl25
    | ~ spl19
    | ~ spl6
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p4563,p191]) ).

cnf(p4574,plain,
    ( ~ spl25
    | ~ spl19
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4569]) ).

cnf(sct483,plain,
    ( ~ spl25
    | ~ spl19
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4574]) ).

cnf(p4572,plain,
    ( ~ spl19
    | ~ spl6
    | sk11 = n7 ),
    inference(superposition,[status(thm)],[p4563,c154]) ).

cnf(p4578,plain,
    ( ~ spl26
    | ~ spl19
    | ~ spl6
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p4572,p192]) ).

cnf(p4583,plain,
    ( ~ spl26
    | ~ spl19
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4578]) ).

cnf(sct484,plain,
    ( ~ spl26
    | ~ spl19
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4583]) ).

cnf(p4581,plain,
    ( ~ spl19
    | ~ spl6
    | sk13 = n6 ),
    inference(superposition,[status(thm)],[p4572,c156]) ).

cnf(p4587,plain,
    ( ~ spl27
    | ~ spl19
    | ~ spl6
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p4581,p193]) ).

cnf(p4592,plain,
    ( ~ spl27
    | ~ spl19
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4587]) ).

cnf(sct485,plain,
    ( ~ spl27
    | ~ spl19
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4592]) ).

cnf(p4590,plain,
    ( ~ spl19
    | ~ spl6
    | sk15 = n2 ),
    inference(superposition,[status(thm)],[p4581,c158]) ).

cnf(p4596,plain,
    ( ~ spl28
    | ~ spl19
    | ~ spl6
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p4590,p194]) ).

cnf(p4601,plain,
    ( ~ spl28
    | ~ spl19
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4596]) ).

cnf(sct486,plain,
    ( ~ spl28
    | ~ spl19
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4601]) ).

cnf(p4599,plain,
    ( ~ spl19
    | ~ spl6
    | sk17 = n8 ),
    inference(superposition,[status(thm)],[p4590,c160]) ).

cnf(p4605,plain,
    ( ~ spl29
    | ~ spl19
    | ~ spl6
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p4599,p195]) ).

cnf(p4610,plain,
    ( ~ spl29
    | ~ spl19
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4605]) ).

cnf(sct487,plain,
    ( ~ spl29
    | ~ spl19
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4610]) ).

cnf(p4608,plain,
    ( ~ spl19
    | ~ spl6
    | sk19 = n10 ),
    inference(superposition,[status(thm)],[p4599,c162]) ).

cnf(p4614,plain,
    ( ~ spl30
    | ~ spl19
    | ~ spl6
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p4608,p196]) ).

cnf(p4619,plain,
    ( ~ spl30
    | ~ spl19
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4614]) ).

cnf(sct488,plain,
    ( ~ spl30
    | ~ spl19
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4619]) ).

cnf(p4617,plain,
    ( ~ spl19
    | ~ spl6
    | sk21 = n7 ),
    inference(superposition,[status(thm)],[p4608,c164]) ).

cnf(p4621,plain,
    ( ~ spl31
    | ~ spl19
    | ~ spl6
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p4617,p197]) ).

cnf(p4622,plain,
    ( ~ spl31
    | ~ spl19
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4621]) ).

cnf(sct489,plain,
    ( ~ spl31
    | ~ spl19
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4622]) ).

cnf(p4624,plain,
    ( ~ spl18
    | ~ spl6
    | sk3 = n4 ),
    inference(superposition,[status(thm)],[p163,p4364]) ).

cnf(p4628,plain,
    ( ~ spl22
    | ~ spl18
    | ~ spl6
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p4624,p188]) ).

cnf(p4633,plain,
    ( ~ spl22
    | ~ spl18
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4628]) ).

cnf(sct490,plain,
    ( ~ spl22
    | ~ spl18
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4633]) ).

cnf(p4631,plain,
    ( ~ spl18
    | ~ spl6
    | sk5 = n5 ),
    inference(superposition,[status(thm)],[p4624,c148]) ).

cnf(p4637,plain,
    ( ~ spl23
    | ~ spl18
    | ~ spl6
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p4631,p189]) ).

cnf(p4642,plain,
    ( ~ spl23
    | ~ spl18
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4637]) ).

cnf(sct491,plain,
    ( ~ spl23
    | ~ spl18
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4642]) ).

cnf(p4640,plain,
    ( ~ spl18
    | ~ spl6
    | sk7 = n9 ),
    inference(superposition,[status(thm)],[p4631,c150]) ).

cnf(p4646,plain,
    ( ~ spl24
    | ~ spl18
    | ~ spl6
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p4640,p190]) ).

cnf(p4651,plain,
    ( ~ spl24
    | ~ spl18
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4646]) ).

cnf(sct492,plain,
    ( ~ spl24
    | ~ spl18
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4651]) ).

cnf(p4649,plain,
    ( ~ spl18
    | ~ spl6
    | sk9 = n3 ),
    inference(superposition,[status(thm)],[p4640,c152]) ).

cnf(p4655,plain,
    ( ~ spl25
    | ~ spl18
    | ~ spl6
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p4649,p191]) ).

cnf(p4660,plain,
    ( ~ spl25
    | ~ spl18
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4655]) ).

cnf(sct493,plain,
    ( ~ spl25
    | ~ spl18
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4660]) ).

cnf(p4658,plain,
    ( ~ spl18
    | ~ spl6
    | sk11 = n1 ),
    inference(superposition,[status(thm)],[p4649,c154]) ).

cnf(p4664,plain,
    ( ~ spl26
    | ~ spl18
    | ~ spl6
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p4658,p192]) ).

cnf(p4669,plain,
    ( ~ spl26
    | ~ spl18
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4664]) ).

cnf(sct494,plain,
    ( ~ spl26
    | ~ spl18
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4669]) ).

cnf(p4667,plain,
    ( ~ spl18
    | ~ spl6
    | sk13 = n4 ),
    inference(superposition,[status(thm)],[p4658,c156]) ).

cnf(p4673,plain,
    ( ~ spl27
    | ~ spl18
    | ~ spl6
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p4667,p193]) ).

cnf(p4678,plain,
    ( ~ spl27
    | ~ spl18
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4673]) ).

cnf(sct495,plain,
    ( ~ spl27
    | ~ spl18
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4678]) ).

cnf(p4676,plain,
    ( ~ spl18
    | ~ spl6
    | sk15 = n5 ),
    inference(superposition,[status(thm)],[p4667,c158]) ).

cnf(p4682,plain,
    ( ~ spl28
    | ~ spl18
    | ~ spl6
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p4676,p194]) ).

cnf(p4687,plain,
    ( ~ spl28
    | ~ spl18
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4682]) ).

cnf(sct496,plain,
    ( ~ spl28
    | ~ spl18
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4687]) ).

cnf(p4685,plain,
    ( ~ spl18
    | ~ spl6
    | sk17 = n9 ),
    inference(superposition,[status(thm)],[p4676,c160]) ).

cnf(p4691,plain,
    ( ~ spl29
    | ~ spl18
    | ~ spl6
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p4685,p195]) ).

cnf(p4696,plain,
    ( ~ spl29
    | ~ spl18
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4691]) ).

cnf(sct497,plain,
    ( ~ spl29
    | ~ spl18
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4696]) ).

cnf(p4694,plain,
    ( ~ spl18
    | ~ spl6
    | sk19 = n3 ),
    inference(superposition,[status(thm)],[p4685,c162]) ).

cnf(p4700,plain,
    ( ~ spl30
    | ~ spl18
    | ~ spl6
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p4694,p196]) ).

cnf(p4705,plain,
    ( ~ spl30
    | ~ spl18
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4700]) ).

cnf(sct498,plain,
    ( ~ spl30
    | ~ spl18
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4705]) ).

cnf(p4703,plain,
    ( ~ spl18
    | ~ spl6
    | sk21 = n1 ),
    inference(superposition,[status(thm)],[p4694,c164]) ).

cnf(p4707,plain,
    ( ~ spl31
    | ~ spl18
    | ~ spl6
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p4703,p197]) ).

cnf(p4708,plain,
    ( ~ spl31
    | ~ spl18
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4707]) ).

cnf(sct499,plain,
    ( ~ spl31
    | ~ spl18
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4708]) ).

cnf(p4710,plain,
    ( ~ spl17
    | ~ spl6
    | sk3 = n2 ),
    inference(superposition,[status(thm)],[p162,p4364]) ).

cnf(p4714,plain,
    ( ~ spl22
    | ~ spl17
    | ~ spl6
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p4710,p188]) ).

cnf(p4719,plain,
    ( ~ spl22
    | ~ spl17
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4714]) ).

cnf(sct500,plain,
    ( ~ spl22
    | ~ spl17
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4719]) ).

cnf(p4717,plain,
    ( ~ spl17
    | ~ spl6
    | sk5 = n8 ),
    inference(superposition,[status(thm)],[p4710,c148]) ).

cnf(p4723,plain,
    ( ~ spl23
    | ~ spl17
    | ~ spl6
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p4717,p189]) ).

cnf(p4728,plain,
    ( ~ spl23
    | ~ spl17
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4723]) ).

cnf(sct501,plain,
    ( ~ spl23
    | ~ spl17
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4728]) ).

cnf(p4726,plain,
    ( ~ spl17
    | ~ spl6
    | sk7 = n10 ),
    inference(superposition,[status(thm)],[p4717,c150]) ).

cnf(p4732,plain,
    ( ~ spl24
    | ~ spl17
    | ~ spl6
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p4726,p190]) ).

cnf(p4737,plain,
    ( ~ spl24
    | ~ spl17
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4732]) ).

cnf(sct502,plain,
    ( ~ spl24
    | ~ spl17
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4737]) ).

cnf(p4735,plain,
    ( ~ spl17
    | ~ spl6
    | sk9 = n7 ),
    inference(superposition,[status(thm)],[p4726,c152]) ).

cnf(p4741,plain,
    ( ~ spl25
    | ~ spl17
    | ~ spl6
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p4735,p191]) ).

cnf(p4746,plain,
    ( ~ spl25
    | ~ spl17
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4741]) ).

cnf(sct503,plain,
    ( ~ spl25
    | ~ spl17
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4746]) ).

cnf(p4744,plain,
    ( ~ spl17
    | ~ spl6
    | sk11 = n6 ),
    inference(superposition,[status(thm)],[p4735,c154]) ).

cnf(p4750,plain,
    ( ~ spl26
    | ~ spl17
    | ~ spl6
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p4744,p192]) ).

cnf(p4755,plain,
    ( ~ spl26
    | ~ spl17
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4750]) ).

cnf(sct504,plain,
    ( ~ spl26
    | ~ spl17
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4755]) ).

cnf(p4753,plain,
    ( ~ spl17
    | ~ spl6
    | sk13 = n2 ),
    inference(superposition,[status(thm)],[p4744,c156]) ).

cnf(p4759,plain,
    ( ~ spl27
    | ~ spl17
    | ~ spl6
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p4753,p193]) ).

cnf(p4764,plain,
    ( ~ spl27
    | ~ spl17
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4759]) ).

cnf(sct505,plain,
    ( ~ spl27
    | ~ spl17
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4764]) ).

cnf(p4762,plain,
    ( ~ spl17
    | ~ spl6
    | sk15 = n8 ),
    inference(superposition,[status(thm)],[p4753,c158]) ).

cnf(p4768,plain,
    ( ~ spl28
    | ~ spl17
    | ~ spl6
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p4762,p194]) ).

cnf(p4773,plain,
    ( ~ spl28
    | ~ spl17
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4768]) ).

cnf(sct506,plain,
    ( ~ spl28
    | ~ spl17
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4773]) ).

cnf(p4771,plain,
    ( ~ spl17
    | ~ spl6
    | sk17 = n10 ),
    inference(superposition,[status(thm)],[p4762,c160]) ).

cnf(p4777,plain,
    ( ~ spl29
    | ~ spl17
    | ~ spl6
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p4771,p195]) ).

cnf(p4782,plain,
    ( ~ spl29
    | ~ spl17
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4777]) ).

cnf(sct507,plain,
    ( ~ spl29
    | ~ spl17
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4782]) ).

cnf(p4780,plain,
    ( ~ spl17
    | ~ spl6
    | sk19 = n7 ),
    inference(superposition,[status(thm)],[p4771,c162]) ).

cnf(p4786,plain,
    ( ~ spl30
    | ~ spl17
    | ~ spl6
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p4780,p196]) ).

cnf(p4791,plain,
    ( ~ spl30
    | ~ spl17
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4786]) ).

cnf(sct508,plain,
    ( ~ spl30
    | ~ spl17
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4791]) ).

cnf(p4789,plain,
    ( ~ spl17
    | ~ spl6
    | sk21 = n6 ),
    inference(superposition,[status(thm)],[p4780,c164]) ).

cnf(p4793,plain,
    ( ~ spl31
    | ~ spl17
    | ~ spl6
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p4789,p197]) ).

cnf(p4794,plain,
    ( ~ spl31
    | ~ spl17
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4793]) ).

cnf(sct509,plain,
    ( ~ spl31
    | ~ spl17
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4794]) ).

cnf(p4796,plain,
    ( ~ spl16
    | ~ spl6
    | sk3 = n0 ),
    inference(superposition,[status(thm)],[p161,p4364]) ).

cnf(p4800,plain,
    ( ~ spl22
    | ~ spl16
    | ~ spl6
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p4796,p188]) ).

cnf(p4805,plain,
    ( ~ spl22
    | ~ spl16
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4800]) ).

cnf(sct510,plain,
    ( ~ spl22
    | ~ spl16
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4805]) ).

cnf(p4803,plain,
    ( ~ spl16
    | ~ spl6
    | sk5 = n0 ),
    inference(superposition,[status(thm)],[p4796,c148]) ).

cnf(p4809,plain,
    ( ~ spl23
    | ~ spl16
    | ~ spl6
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p4803,p189]) ).

cnf(p4814,plain,
    ( ~ spl23
    | ~ spl16
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4809]) ).

cnf(sct511,plain,
    ( ~ spl23
    | ~ spl16
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4814]) ).

cnf(p4812,plain,
    ( ~ spl16
    | ~ spl6
    | sk7 = n0 ),
    inference(superposition,[status(thm)],[p4803,c150]) ).

cnf(p4818,plain,
    ( ~ spl24
    | ~ spl16
    | ~ spl6
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p4812,p190]) ).

cnf(p4823,plain,
    ( ~ spl24
    | ~ spl16
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4818]) ).

cnf(sct512,plain,
    ( ~ spl24
    | ~ spl16
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4823]) ).

cnf(p4821,plain,
    ( ~ spl16
    | ~ spl6
    | sk9 = n0 ),
    inference(superposition,[status(thm)],[p4812,c152]) ).

cnf(p4827,plain,
    ( ~ spl25
    | ~ spl16
    | ~ spl6
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p4821,p191]) ).

cnf(p4832,plain,
    ( ~ spl25
    | ~ spl16
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4827]) ).

cnf(sct513,plain,
    ( ~ spl25
    | ~ spl16
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4832]) ).

cnf(p4830,plain,
    ( ~ spl16
    | ~ spl6
    | sk11 = n0 ),
    inference(superposition,[status(thm)],[p4821,c154]) ).

cnf(p4836,plain,
    ( ~ spl26
    | ~ spl16
    | ~ spl6
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p4830,p192]) ).

cnf(p4841,plain,
    ( ~ spl26
    | ~ spl16
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4836]) ).

cnf(sct514,plain,
    ( ~ spl26
    | ~ spl16
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4841]) ).

cnf(p4839,plain,
    ( ~ spl16
    | ~ spl6
    | sk13 = n0 ),
    inference(superposition,[status(thm)],[p4830,c156]) ).

cnf(p4845,plain,
    ( ~ spl27
    | ~ spl16
    | ~ spl6
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p4839,p193]) ).

cnf(p4850,plain,
    ( ~ spl27
    | ~ spl16
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4845]) ).

cnf(sct515,plain,
    ( ~ spl27
    | ~ spl16
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4850]) ).

cnf(p4848,plain,
    ( ~ spl16
    | ~ spl6
    | sk15 = n0 ),
    inference(superposition,[status(thm)],[p4839,c158]) ).

cnf(p4854,plain,
    ( ~ spl28
    | ~ spl16
    | ~ spl6
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p4848,p194]) ).

cnf(p4859,plain,
    ( ~ spl28
    | ~ spl16
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4854]) ).

cnf(sct516,plain,
    ( ~ spl28
    | ~ spl16
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4859]) ).

cnf(p4857,plain,
    ( ~ spl16
    | ~ spl6
    | sk17 = n0 ),
    inference(superposition,[status(thm)],[p4848,c160]) ).

cnf(p4863,plain,
    ( ~ spl29
    | ~ spl16
    | ~ spl6
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p4857,p195]) ).

cnf(p4868,plain,
    ( ~ spl29
    | ~ spl16
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4863]) ).

cnf(sct517,plain,
    ( ~ spl29
    | ~ spl16
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4868]) ).

cnf(p4866,plain,
    ( ~ spl16
    | ~ spl6
    | sk19 = n0 ),
    inference(superposition,[status(thm)],[p4857,c162]) ).

cnf(p4872,plain,
    ( ~ spl30
    | ~ spl16
    | ~ spl6
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p4866,p196]) ).

cnf(p4877,plain,
    ( ~ spl30
    | ~ spl16
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4872]) ).

cnf(sct518,plain,
    ( ~ spl30
    | ~ spl16
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4877]) ).

cnf(p4875,plain,
    ( ~ spl16
    | ~ spl6
    | sk21 = n0 ),
    inference(superposition,[status(thm)],[p4866,c164]) ).

cnf(p4879,plain,
    ( ~ spl31
    | ~ spl16
    | ~ spl6
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p4875,p197]) ).

cnf(p4880,plain,
    ( ~ spl31
    | ~ spl16
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4879]) ).

cnf(sct519,plain,
    ( ~ spl31
    | ~ spl16
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4880]) ).

cnf(p4882,plain,
    ( ~ spl15
    | ~ spl6
    | sk3 = n9 ),
    inference(superposition,[status(thm)],[p160,p4364]) ).

cnf(p4886,plain,
    ( ~ spl22
    | ~ spl15
    | ~ spl6
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p4882,p188]) ).

cnf(p4891,plain,
    ( ~ spl22
    | ~ spl15
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4886]) ).

cnf(sct520,plain,
    ( ~ spl22
    | ~ spl15
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4891]) ).

cnf(p4889,plain,
    ( ~ spl15
    | ~ spl6
    | sk5 = n3 ),
    inference(superposition,[status(thm)],[p4882,c148]) ).

cnf(p4895,plain,
    ( ~ spl23
    | ~ spl15
    | ~ spl6
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p4889,p189]) ).

cnf(p4900,plain,
    ( ~ spl23
    | ~ spl15
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4895]) ).

cnf(sct521,plain,
    ( ~ spl23
    | ~ spl15
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4900]) ).

cnf(p4898,plain,
    ( ~ spl15
    | ~ spl6
    | sk7 = n1 ),
    inference(superposition,[status(thm)],[p4889,c150]) ).

cnf(p4904,plain,
    ( ~ spl24
    | ~ spl15
    | ~ spl6
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p4898,p190]) ).

cnf(p4909,plain,
    ( ~ spl24
    | ~ spl15
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4904]) ).

cnf(sct522,plain,
    ( ~ spl24
    | ~ spl15
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4909]) ).

cnf(p4907,plain,
    ( ~ spl15
    | ~ spl6
    | sk9 = n4 ),
    inference(superposition,[status(thm)],[p4898,c152]) ).

cnf(p4913,plain,
    ( ~ spl25
    | ~ spl15
    | ~ spl6
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p4907,p191]) ).

cnf(p4918,plain,
    ( ~ spl25
    | ~ spl15
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4913]) ).

cnf(sct523,plain,
    ( ~ spl25
    | ~ spl15
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4918]) ).

cnf(p4916,plain,
    ( ~ spl15
    | ~ spl6
    | sk11 = n5 ),
    inference(superposition,[status(thm)],[p4907,c154]) ).

cnf(p4922,plain,
    ( ~ spl26
    | ~ spl15
    | ~ spl6
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p4916,p192]) ).

cnf(p4927,plain,
    ( ~ spl26
    | ~ spl15
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4922]) ).

cnf(sct524,plain,
    ( ~ spl26
    | ~ spl15
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4927]) ).

cnf(p4925,plain,
    ( ~ spl15
    | ~ spl6
    | sk13 = n9 ),
    inference(superposition,[status(thm)],[p4916,c156]) ).

cnf(p4931,plain,
    ( ~ spl27
    | ~ spl15
    | ~ spl6
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p4925,p193]) ).

cnf(p4936,plain,
    ( ~ spl27
    | ~ spl15
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4931]) ).

cnf(sct525,plain,
    ( ~ spl27
    | ~ spl15
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4936]) ).

cnf(p4934,plain,
    ( ~ spl15
    | ~ spl6
    | sk15 = n3 ),
    inference(superposition,[status(thm)],[p4925,c158]) ).

cnf(p4940,plain,
    ( ~ spl28
    | ~ spl15
    | ~ spl6
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p4934,p194]) ).

cnf(p4945,plain,
    ( ~ spl28
    | ~ spl15
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4940]) ).

cnf(sct526,plain,
    ( ~ spl28
    | ~ spl15
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4945]) ).

cnf(p4943,plain,
    ( ~ spl15
    | ~ spl6
    | sk17 = n1 ),
    inference(superposition,[status(thm)],[p4934,c160]) ).

cnf(p4949,plain,
    ( ~ spl29
    | ~ spl15
    | ~ spl6
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p4943,p195]) ).

cnf(p4954,plain,
    ( ~ spl29
    | ~ spl15
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4949]) ).

cnf(sct527,plain,
    ( ~ spl29
    | ~ spl15
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4954]) ).

cnf(p4952,plain,
    ( ~ spl15
    | ~ spl6
    | sk19 = n4 ),
    inference(superposition,[status(thm)],[p4943,c162]) ).

cnf(p4958,plain,
    ( ~ spl30
    | ~ spl15
    | ~ spl6
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p4952,p196]) ).

cnf(p4963,plain,
    ( ~ spl30
    | ~ spl15
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4958]) ).

cnf(sct528,plain,
    ( ~ spl30
    | ~ spl15
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4963]) ).

cnf(p4961,plain,
    ( ~ spl15
    | ~ spl6
    | sk21 = n5 ),
    inference(superposition,[status(thm)],[p4952,c164]) ).

cnf(p4965,plain,
    ( ~ spl31
    | ~ spl15
    | ~ spl6
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p4961,p197]) ).

cnf(p4966,plain,
    ( ~ spl31
    | ~ spl15
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4965]) ).

cnf(sct529,plain,
    ( ~ spl31
    | ~ spl15
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4966]) ).

cnf(p4968,plain,
    ( ~ spl14
    | ~ spl6
    | sk3 = n7 ),
    inference(superposition,[status(thm)],[p159,p4364]) ).

cnf(p4972,plain,
    ( ~ spl22
    | ~ spl14
    | ~ spl6
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p4968,p188]) ).

cnf(p4977,plain,
    ( ~ spl22
    | ~ spl14
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4972]) ).

cnf(sct530,plain,
    ( ~ spl22
    | ~ spl14
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4977]) ).

cnf(p4975,plain,
    ( ~ spl14
    | ~ spl6
    | sk5 = n6 ),
    inference(superposition,[status(thm)],[p4968,c148]) ).

cnf(p4981,plain,
    ( ~ spl23
    | ~ spl14
    | ~ spl6
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p4975,p189]) ).

cnf(p4986,plain,
    ( ~ spl23
    | ~ spl14
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4981]) ).

cnf(sct531,plain,
    ( ~ spl23
    | ~ spl14
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4986]) ).

cnf(p4984,plain,
    ( ~ spl14
    | ~ spl6
    | sk7 = n2 ),
    inference(superposition,[status(thm)],[p4975,c150]) ).

cnf(p4990,plain,
    ( ~ spl24
    | ~ spl14
    | ~ spl6
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p4984,p190]) ).

cnf(p4995,plain,
    ( ~ spl24
    | ~ spl14
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4990]) ).

cnf(sct532,plain,
    ( ~ spl24
    | ~ spl14
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p4995]) ).

cnf(p4993,plain,
    ( ~ spl14
    | ~ spl6
    | sk9 = n8 ),
    inference(superposition,[status(thm)],[p4984,c152]) ).

cnf(p4999,plain,
    ( ~ spl25
    | ~ spl14
    | ~ spl6
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p4993,p191]) ).

cnf(p5004,plain,
    ( ~ spl25
    | ~ spl14
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p4999]) ).

cnf(sct533,plain,
    ( ~ spl25
    | ~ spl14
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5004]) ).

cnf(p5002,plain,
    ( ~ spl14
    | ~ spl6
    | sk11 = n10 ),
    inference(superposition,[status(thm)],[p4993,c154]) ).

cnf(p5008,plain,
    ( ~ spl26
    | ~ spl14
    | ~ spl6
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p5002,p192]) ).

cnf(p5013,plain,
    ( ~ spl26
    | ~ spl14
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p5008]) ).

cnf(sct534,plain,
    ( ~ spl26
    | ~ spl14
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5013]) ).

cnf(p5011,plain,
    ( ~ spl14
    | ~ spl6
    | sk13 = n7 ),
    inference(superposition,[status(thm)],[p5002,c156]) ).

cnf(p5017,plain,
    ( ~ spl27
    | ~ spl14
    | ~ spl6
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p5011,p193]) ).

cnf(p5022,plain,
    ( ~ spl27
    | ~ spl14
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p5017]) ).

cnf(sct535,plain,
    ( ~ spl27
    | ~ spl14
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5022]) ).

cnf(p5020,plain,
    ( ~ spl14
    | ~ spl6
    | sk15 = n6 ),
    inference(superposition,[status(thm)],[p5011,c158]) ).

cnf(p5026,plain,
    ( ~ spl28
    | ~ spl14
    | ~ spl6
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p5020,p194]) ).

cnf(p5031,plain,
    ( ~ spl28
    | ~ spl14
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p5026]) ).

cnf(sct536,plain,
    ( ~ spl28
    | ~ spl14
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5031]) ).

cnf(p5029,plain,
    ( ~ spl14
    | ~ spl6
    | sk17 = n2 ),
    inference(superposition,[status(thm)],[p5020,c160]) ).

cnf(p5035,plain,
    ( ~ spl29
    | ~ spl14
    | ~ spl6
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p5029,p195]) ).

cnf(p5040,plain,
    ( ~ spl29
    | ~ spl14
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p5035]) ).

cnf(sct537,plain,
    ( ~ spl29
    | ~ spl14
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5040]) ).

cnf(p5038,plain,
    ( ~ spl14
    | ~ spl6
    | sk19 = n8 ),
    inference(superposition,[status(thm)],[p5029,c162]) ).

cnf(p5044,plain,
    ( ~ spl30
    | ~ spl14
    | ~ spl6
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p5038,p196]) ).

cnf(p5049,plain,
    ( ~ spl30
    | ~ spl14
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p5044]) ).

cnf(sct538,plain,
    ( ~ spl30
    | ~ spl14
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5049]) ).

cnf(p5047,plain,
    ( ~ spl14
    | ~ spl6
    | sk21 = n10 ),
    inference(superposition,[status(thm)],[p5038,c164]) ).

cnf(p5051,plain,
    ( ~ spl31
    | ~ spl14
    | ~ spl6
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p5047,p197]) ).

cnf(p5052,plain,
    ( ~ spl31
    | ~ spl14
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p5051]) ).

cnf(sct539,plain,
    ( ~ spl31
    | ~ spl14
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5052]) ).

cnf(p5054,plain,
    ( ~ spl13
    | ~ spl6
    | sk3 = n5 ),
    inference(superposition,[status(thm)],[p158,p4364]) ).

cnf(p5058,plain,
    ( ~ spl22
    | ~ spl13
    | ~ spl6
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p5054,p188]) ).

cnf(p5063,plain,
    ( ~ spl22
    | ~ spl13
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p5058]) ).

cnf(sct540,plain,
    ( ~ spl22
    | ~ spl13
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5063]) ).

cnf(p5061,plain,
    ( ~ spl13
    | ~ spl6
    | sk5 = n9 ),
    inference(superposition,[status(thm)],[p5054,c148]) ).

cnf(p5067,plain,
    ( ~ spl23
    | ~ spl13
    | ~ spl6
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p5061,p189]) ).

cnf(p5072,plain,
    ( ~ spl23
    | ~ spl13
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p5067]) ).

cnf(sct541,plain,
    ( ~ spl23
    | ~ spl13
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5072]) ).

cnf(p5070,plain,
    ( ~ spl13
    | ~ spl6
    | sk7 = n3 ),
    inference(superposition,[status(thm)],[p5061,c150]) ).

cnf(p5076,plain,
    ( ~ spl24
    | ~ spl13
    | ~ spl6
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p5070,p190]) ).

cnf(p5081,plain,
    ( ~ spl24
    | ~ spl13
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p5076]) ).

cnf(sct542,plain,
    ( ~ spl24
    | ~ spl13
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5081]) ).

cnf(p5079,plain,
    ( ~ spl13
    | ~ spl6
    | sk9 = n1 ),
    inference(superposition,[status(thm)],[p5070,c152]) ).

cnf(p5085,plain,
    ( ~ spl25
    | ~ spl13
    | ~ spl6
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p5079,p191]) ).

cnf(p5090,plain,
    ( ~ spl25
    | ~ spl13
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p5085]) ).

cnf(sct543,plain,
    ( ~ spl25
    | ~ spl13
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5090]) ).

cnf(p5088,plain,
    ( ~ spl13
    | ~ spl6
    | sk11 = n4 ),
    inference(superposition,[status(thm)],[p5079,c154]) ).

cnf(p5094,plain,
    ( ~ spl26
    | ~ spl13
    | ~ spl6
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p5088,p192]) ).

cnf(p5099,plain,
    ( ~ spl26
    | ~ spl13
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p5094]) ).

cnf(sct544,plain,
    ( ~ spl26
    | ~ spl13
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5099]) ).

cnf(p5097,plain,
    ( ~ spl13
    | ~ spl6
    | sk13 = n5 ),
    inference(superposition,[status(thm)],[p5088,c156]) ).

cnf(p5103,plain,
    ( ~ spl27
    | ~ spl13
    | ~ spl6
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p5097,p193]) ).

cnf(p5108,plain,
    ( ~ spl27
    | ~ spl13
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p5103]) ).

cnf(sct545,plain,
    ( ~ spl27
    | ~ spl13
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5108]) ).

cnf(p5106,plain,
    ( ~ spl13
    | ~ spl6
    | sk15 = n9 ),
    inference(superposition,[status(thm)],[p5097,c158]) ).

cnf(p5112,plain,
    ( ~ spl28
    | ~ spl13
    | ~ spl6
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p5106,p194]) ).

cnf(p5117,plain,
    ( ~ spl28
    | ~ spl13
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p5112]) ).

cnf(sct546,plain,
    ( ~ spl28
    | ~ spl13
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5117]) ).

cnf(p5115,plain,
    ( ~ spl13
    | ~ spl6
    | sk17 = n3 ),
    inference(superposition,[status(thm)],[p5106,c160]) ).

cnf(p5121,plain,
    ( ~ spl29
    | ~ spl13
    | ~ spl6
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p5115,p195]) ).

cnf(p5126,plain,
    ( ~ spl29
    | ~ spl13
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p5121]) ).

cnf(sct547,plain,
    ( ~ spl29
    | ~ spl13
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5126]) ).

cnf(p5124,plain,
    ( ~ spl13
    | ~ spl6
    | sk19 = n1 ),
    inference(superposition,[status(thm)],[p5115,c162]) ).

cnf(p5130,plain,
    ( ~ spl30
    | ~ spl13
    | ~ spl6
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p5124,p196]) ).

cnf(p5135,plain,
    ( ~ spl30
    | ~ spl13
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p5130]) ).

cnf(sct548,plain,
    ( ~ spl30
    | ~ spl13
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5135]) ).

cnf(p5133,plain,
    ( ~ spl13
    | ~ spl6
    | sk21 = n4 ),
    inference(superposition,[status(thm)],[p5124,c164]) ).

cnf(p5137,plain,
    ( ~ spl31
    | ~ spl13
    | ~ spl6
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p5133,p197]) ).

cnf(p5138,plain,
    ( ~ spl31
    | ~ spl13
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p5137]) ).

cnf(sct549,plain,
    ( ~ spl31
    | ~ spl13
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5138]) ).

cnf(p5140,plain,
    ( ~ spl12
    | ~ spl6
    | sk3 = n3 ),
    inference(superposition,[status(thm)],[p157,p4364]) ).

cnf(p5144,plain,
    ( ~ spl22
    | ~ spl12
    | ~ spl6
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p5140,p188]) ).

cnf(p5149,plain,
    ( ~ spl22
    | ~ spl12
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p5144]) ).

cnf(sct550,plain,
    ( ~ spl22
    | ~ spl12
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5149]) ).

cnf(p5147,plain,
    ( ~ spl12
    | ~ spl6
    | sk5 = n1 ),
    inference(superposition,[status(thm)],[p5140,c148]) ).

cnf(p5153,plain,
    ( ~ spl23
    | ~ spl12
    | ~ spl6
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p5147,p189]) ).

cnf(p5158,plain,
    ( ~ spl23
    | ~ spl12
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p5153]) ).

cnf(sct551,plain,
    ( ~ spl23
    | ~ spl12
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5158]) ).

cnf(p5156,plain,
    ( ~ spl12
    | ~ spl6
    | sk7 = n4 ),
    inference(superposition,[status(thm)],[p5147,c150]) ).

cnf(p5162,plain,
    ( ~ spl24
    | ~ spl12
    | ~ spl6
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p5156,p190]) ).

cnf(p5167,plain,
    ( ~ spl24
    | ~ spl12
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p5162]) ).

cnf(sct552,plain,
    ( ~ spl24
    | ~ spl12
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5167]) ).

cnf(p5165,plain,
    ( ~ spl12
    | ~ spl6
    | sk9 = n5 ),
    inference(superposition,[status(thm)],[p5156,c152]) ).

cnf(p5171,plain,
    ( ~ spl25
    | ~ spl12
    | ~ spl6
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p5165,p191]) ).

cnf(p5176,plain,
    ( ~ spl25
    | ~ spl12
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p5171]) ).

cnf(sct553,plain,
    ( ~ spl25
    | ~ spl12
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5176]) ).

cnf(p5174,plain,
    ( ~ spl12
    | ~ spl6
    | sk11 = n9 ),
    inference(superposition,[status(thm)],[p5165,c154]) ).

cnf(p5180,plain,
    ( ~ spl26
    | ~ spl12
    | ~ spl6
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p5174,p192]) ).

cnf(p5185,plain,
    ( ~ spl26
    | ~ spl12
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p5180]) ).

cnf(sct554,plain,
    ( ~ spl26
    | ~ spl12
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5185]) ).

cnf(p5183,plain,
    ( ~ spl12
    | ~ spl6
    | sk13 = n3 ),
    inference(superposition,[status(thm)],[p5174,c156]) ).

cnf(p5189,plain,
    ( ~ spl27
    | ~ spl12
    | ~ spl6
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p5183,p193]) ).

cnf(p5194,plain,
    ( ~ spl27
    | ~ spl12
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p5189]) ).

cnf(sct555,plain,
    ( ~ spl27
    | ~ spl12
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5194]) ).

cnf(p5192,plain,
    ( ~ spl12
    | ~ spl6
    | sk15 = n1 ),
    inference(superposition,[status(thm)],[p5183,c158]) ).

cnf(p5198,plain,
    ( ~ spl28
    | ~ spl12
    | ~ spl6
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p5192,p194]) ).

cnf(p5203,plain,
    ( ~ spl28
    | ~ spl12
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p5198]) ).

cnf(sct556,plain,
    ( ~ spl28
    | ~ spl12
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5203]) ).

cnf(p5201,plain,
    ( ~ spl12
    | ~ spl6
    | sk17 = n4 ),
    inference(superposition,[status(thm)],[p5192,c160]) ).

cnf(p5207,plain,
    ( ~ spl29
    | ~ spl12
    | ~ spl6
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p5201,p195]) ).

cnf(p5212,plain,
    ( ~ spl29
    | ~ spl12
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p5207]) ).

cnf(sct557,plain,
    ( ~ spl29
    | ~ spl12
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5212]) ).

cnf(p5210,plain,
    ( ~ spl12
    | ~ spl6
    | sk19 = n5 ),
    inference(superposition,[status(thm)],[p5201,c162]) ).

cnf(p5216,plain,
    ( ~ spl30
    | ~ spl12
    | ~ spl6
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p5210,p196]) ).

cnf(p5221,plain,
    ( ~ spl30
    | ~ spl12
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p5216]) ).

cnf(sct558,plain,
    ( ~ spl30
    | ~ spl12
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5221]) ).

cnf(p5219,plain,
    ( ~ spl12
    | ~ spl6
    | sk21 = n9 ),
    inference(superposition,[status(thm)],[p5210,c164]) ).

cnf(p5223,plain,
    ( ~ spl31
    | ~ spl12
    | ~ spl6
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p5219,p197]) ).

cnf(p5224,plain,
    ( ~ spl31
    | ~ spl12
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p5223]) ).

cnf(sct559,plain,
    ( ~ spl31
    | ~ spl12
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5224]) ).

cnf(p5226,plain,
    ( ~ spl11
    | ~ spl6
    | sk3 = n1 ),
    inference(superposition,[status(thm)],[p156,p4364]) ).

cnf(p5230,plain,
    ( ~ spl22
    | ~ spl11
    | ~ spl6
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p5226,p188]) ).

cnf(p5235,plain,
    ( ~ spl22
    | ~ spl11
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p5230]) ).

cnf(sct560,plain,
    ( ~ spl22
    | ~ spl11
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5235]) ).

cnf(p5233,plain,
    ( ~ spl11
    | ~ spl6
    | sk5 = n4 ),
    inference(superposition,[status(thm)],[p5226,c148]) ).

cnf(p5239,plain,
    ( ~ spl23
    | ~ spl11
    | ~ spl6
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p5233,p189]) ).

cnf(p5244,plain,
    ( ~ spl23
    | ~ spl11
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p5239]) ).

cnf(sct561,plain,
    ( ~ spl23
    | ~ spl11
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5244]) ).

cnf(p5242,plain,
    ( ~ spl11
    | ~ spl6
    | sk7 = n5 ),
    inference(superposition,[status(thm)],[p5233,c150]) ).

cnf(p5248,plain,
    ( ~ spl24
    | ~ spl11
    | ~ spl6
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p5242,p190]) ).

cnf(p5253,plain,
    ( ~ spl24
    | ~ spl11
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p5248]) ).

cnf(sct562,plain,
    ( ~ spl24
    | ~ spl11
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5253]) ).

cnf(p5251,plain,
    ( ~ spl11
    | ~ spl6
    | sk9 = n9 ),
    inference(superposition,[status(thm)],[p5242,c152]) ).

cnf(p5257,plain,
    ( ~ spl25
    | ~ spl11
    | ~ spl6
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p5251,p191]) ).

cnf(p5262,plain,
    ( ~ spl25
    | ~ spl11
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p5257]) ).

cnf(sct563,plain,
    ( ~ spl25
    | ~ spl11
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5262]) ).

cnf(p5260,plain,
    ( ~ spl11
    | ~ spl6
    | sk11 = n3 ),
    inference(superposition,[status(thm)],[p5251,c154]) ).

cnf(p5266,plain,
    ( ~ spl26
    | ~ spl11
    | ~ spl6
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p5260,p192]) ).

cnf(p5271,plain,
    ( ~ spl26
    | ~ spl11
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p5266]) ).

cnf(sct564,plain,
    ( ~ spl26
    | ~ spl11
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5271]) ).

cnf(p5269,plain,
    ( ~ spl11
    | ~ spl6
    | sk13 = n1 ),
    inference(superposition,[status(thm)],[p5260,c156]) ).

cnf(p5275,plain,
    ( ~ spl27
    | ~ spl11
    | ~ spl6
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p5269,p193]) ).

cnf(p5280,plain,
    ( ~ spl27
    | ~ spl11
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p5275]) ).

cnf(sct565,plain,
    ( ~ spl27
    | ~ spl11
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5280]) ).

cnf(p5278,plain,
    ( ~ spl11
    | ~ spl6
    | sk15 = n4 ),
    inference(superposition,[status(thm)],[p5269,c158]) ).

cnf(p5284,plain,
    ( ~ spl28
    | ~ spl11
    | ~ spl6
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p5278,p194]) ).

cnf(p5289,plain,
    ( ~ spl28
    | ~ spl11
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p5284]) ).

cnf(sct566,plain,
    ( ~ spl28
    | ~ spl11
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5289]) ).

cnf(p5287,plain,
    ( ~ spl11
    | ~ spl6
    | sk17 = n5 ),
    inference(superposition,[status(thm)],[p5278,c160]) ).

cnf(p5293,plain,
    ( ~ spl29
    | ~ spl11
    | ~ spl6
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p5287,p195]) ).

cnf(p5298,plain,
    ( ~ spl29
    | ~ spl11
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p5293]) ).

cnf(sct567,plain,
    ( ~ spl29
    | ~ spl11
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5298]) ).

cnf(p5296,plain,
    ( ~ spl11
    | ~ spl6
    | sk19 = n9 ),
    inference(superposition,[status(thm)],[p5287,c162]) ).

cnf(p5302,plain,
    ( ~ spl30
    | ~ spl11
    | ~ spl6
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p5296,p196]) ).

cnf(p5307,plain,
    ( ~ spl30
    | ~ spl11
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p5302]) ).

cnf(sct568,plain,
    ( ~ spl30
    | ~ spl11
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5307]) ).

cnf(p5305,plain,
    ( ~ spl11
    | ~ spl6
    | sk21 = n3 ),
    inference(superposition,[status(thm)],[p5296,c164]) ).

cnf(p5309,plain,
    ( ~ spl31
    | ~ spl11
    | ~ spl6
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p5305,p197]) ).

cnf(p5310,plain,
    ( ~ spl31
    | ~ spl11
    | ~ spl6
    | $false ),
    inference(equality_resolution,[status(thm)],[p5309]) ).

cnf(sct569,plain,
    ( ~ spl31
    | ~ spl11
    | ~ spl6 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5310]) ).

cnf(p5313,plain,
    ( ~ spl20
    | ~ spl5
    | sk3 = n6 ),
    inference(superposition,[status(thm)],[p149,p585]) ).

cnf(p5315,plain,
    ( ~ spl22
    | ~ spl20
    | ~ spl5
    | sk2 != n6 ),
    inference(superposition,[status(thm)],[p5313,p188]) ).

cnf(p5314,plain,
    ( ~ spl20
    | ~ spl5
    | sk2 = n6 ),
    inference(superposition,[status(thm)],[p149,p582]) ).

cnf(p5323,plain,
    ( ~ spl22
    | ~ spl20
    | ~ spl5
    | $false ),
    inference(resolution,[status(thm)],[p5315,p5314]) ).

cnf(sct570,plain,
    ( ~ spl22
    | ~ spl20
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5323]) ).

cnf(p5321,plain,
    ( ~ spl20
    | ~ spl5
    | sk5 = n2 ),
    inference(superposition,[status(thm)],[p5314,c148]) ).

cnf(p5327,plain,
    ( ~ spl23
    | ~ spl20
    | ~ spl5
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p5321,p189]) ).

cnf(p5332,plain,
    ( ~ spl23
    | ~ spl20
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5327]) ).

cnf(sct571,plain,
    ( ~ spl23
    | ~ spl20
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5332]) ).

cnf(p5330,plain,
    ( ~ spl20
    | ~ spl5
    | sk7 = n8 ),
    inference(superposition,[status(thm)],[p5321,c150]) ).

cnf(p5336,plain,
    ( ~ spl24
    | ~ spl20
    | ~ spl5
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p5330,p190]) ).

cnf(p5341,plain,
    ( ~ spl24
    | ~ spl20
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5336]) ).

cnf(sct572,plain,
    ( ~ spl24
    | ~ spl20
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5341]) ).

cnf(p5339,plain,
    ( ~ spl20
    | ~ spl5
    | sk9 = n10 ),
    inference(superposition,[status(thm)],[p5330,c152]) ).

cnf(p5345,plain,
    ( ~ spl25
    | ~ spl20
    | ~ spl5
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p5339,p191]) ).

cnf(p5350,plain,
    ( ~ spl25
    | ~ spl20
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5345]) ).

cnf(sct573,plain,
    ( ~ spl25
    | ~ spl20
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5350]) ).

cnf(p5348,plain,
    ( ~ spl20
    | ~ spl5
    | sk11 = n7 ),
    inference(superposition,[status(thm)],[p5339,c154]) ).

cnf(p5354,plain,
    ( ~ spl26
    | ~ spl20
    | ~ spl5
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p5348,p192]) ).

cnf(p5359,plain,
    ( ~ spl26
    | ~ spl20
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5354]) ).

cnf(sct574,plain,
    ( ~ spl26
    | ~ spl20
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5359]) ).

cnf(p5357,plain,
    ( ~ spl20
    | ~ spl5
    | sk13 = n6 ),
    inference(superposition,[status(thm)],[p5348,c156]) ).

cnf(p5363,plain,
    ( ~ spl27
    | ~ spl20
    | ~ spl5
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p5357,p193]) ).

cnf(p5368,plain,
    ( ~ spl27
    | ~ spl20
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5363]) ).

cnf(sct575,plain,
    ( ~ spl27
    | ~ spl20
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5368]) ).

cnf(p5366,plain,
    ( ~ spl20
    | ~ spl5
    | sk15 = n2 ),
    inference(superposition,[status(thm)],[p5357,c158]) ).

cnf(p5372,plain,
    ( ~ spl28
    | ~ spl20
    | ~ spl5
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p5366,p194]) ).

cnf(p5377,plain,
    ( ~ spl28
    | ~ spl20
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5372]) ).

cnf(sct576,plain,
    ( ~ spl28
    | ~ spl20
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5377]) ).

cnf(p5375,plain,
    ( ~ spl20
    | ~ spl5
    | sk17 = n8 ),
    inference(superposition,[status(thm)],[p5366,c160]) ).

cnf(p5381,plain,
    ( ~ spl29
    | ~ spl20
    | ~ spl5
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p5375,p195]) ).

cnf(p5386,plain,
    ( ~ spl29
    | ~ spl20
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5381]) ).

cnf(sct577,plain,
    ( ~ spl29
    | ~ spl20
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5386]) ).

cnf(p5384,plain,
    ( ~ spl20
    | ~ spl5
    | sk19 = n10 ),
    inference(superposition,[status(thm)],[p5375,c162]) ).

cnf(p5390,plain,
    ( ~ spl30
    | ~ spl20
    | ~ spl5
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p5384,p196]) ).

cnf(p5395,plain,
    ( ~ spl30
    | ~ spl20
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5390]) ).

cnf(sct578,plain,
    ( ~ spl30
    | ~ spl20
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5395]) ).

cnf(p5393,plain,
    ( ~ spl20
    | ~ spl5
    | sk21 = n7 ),
    inference(superposition,[status(thm)],[p5384,c164]) ).

cnf(p5397,plain,
    ( ~ spl31
    | ~ spl20
    | ~ spl5
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p5393,p197]) ).

cnf(p5398,plain,
    ( ~ spl31
    | ~ spl20
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5397]) ).

cnf(sct579,plain,
    ( ~ spl31
    | ~ spl20
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5398]) ).

cnf(p5312,plain,
    ( ~ spl5
    | sk3 = sum(n10,sum(pred(sk1),succ(sk1))) ),
    inference(superposition,[status(thm)],[p149,c146]) ).

cnf(p5400,plain,
    ( ~ spl21
    | ~ spl5
    | sk3 = n8 ),
    inference(superposition,[status(thm)],[p166,p5312]) ).

cnf(p5404,plain,
    ( ~ spl22
    | ~ spl21
    | ~ spl5
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p5400,p188]) ).

cnf(p5409,plain,
    ( ~ spl22
    | ~ spl21
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5404]) ).

cnf(sct580,plain,
    ( ~ spl22
    | ~ spl21
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5409]) ).

cnf(p5407,plain,
    ( ~ spl21
    | ~ spl5
    | sk5 = n10 ),
    inference(superposition,[status(thm)],[p5400,c148]) ).

cnf(p5413,plain,
    ( ~ spl23
    | ~ spl21
    | ~ spl5
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p5407,p189]) ).

cnf(p5418,plain,
    ( ~ spl23
    | ~ spl21
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5413]) ).

cnf(sct581,plain,
    ( ~ spl23
    | ~ spl21
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5418]) ).

cnf(p5416,plain,
    ( ~ spl21
    | ~ spl5
    | sk7 = n7 ),
    inference(superposition,[status(thm)],[p5407,c150]) ).

cnf(p5422,plain,
    ( ~ spl24
    | ~ spl21
    | ~ spl5
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p5416,p190]) ).

cnf(p5427,plain,
    ( ~ spl24
    | ~ spl21
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5422]) ).

cnf(sct582,plain,
    ( ~ spl24
    | ~ spl21
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5427]) ).

cnf(p5425,plain,
    ( ~ spl21
    | ~ spl5
    | sk9 = n6 ),
    inference(superposition,[status(thm)],[p5416,c152]) ).

cnf(p5431,plain,
    ( ~ spl25
    | ~ spl21
    | ~ spl5
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p5425,p191]) ).

cnf(p5436,plain,
    ( ~ spl25
    | ~ spl21
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5431]) ).

cnf(sct583,plain,
    ( ~ spl25
    | ~ spl21
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5436]) ).

cnf(p5434,plain,
    ( ~ spl21
    | ~ spl5
    | sk11 = n2 ),
    inference(superposition,[status(thm)],[p5425,c154]) ).

cnf(p5440,plain,
    ( ~ spl26
    | ~ spl21
    | ~ spl5
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p5434,p192]) ).

cnf(p5445,plain,
    ( ~ spl26
    | ~ spl21
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5440]) ).

cnf(sct584,plain,
    ( ~ spl26
    | ~ spl21
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5445]) ).

cnf(p5443,plain,
    ( ~ spl21
    | ~ spl5
    | sk13 = n8 ),
    inference(superposition,[status(thm)],[p5434,c156]) ).

cnf(p5449,plain,
    ( ~ spl27
    | ~ spl21
    | ~ spl5
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p5443,p193]) ).

cnf(p5454,plain,
    ( ~ spl27
    | ~ spl21
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5449]) ).

cnf(sct585,plain,
    ( ~ spl27
    | ~ spl21
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5454]) ).

cnf(p5452,plain,
    ( ~ spl21
    | ~ spl5
    | sk15 = n10 ),
    inference(superposition,[status(thm)],[p5443,c158]) ).

cnf(p5458,plain,
    ( ~ spl28
    | ~ spl21
    | ~ spl5
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p5452,p194]) ).

cnf(p5463,plain,
    ( ~ spl28
    | ~ spl21
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5458]) ).

cnf(sct586,plain,
    ( ~ spl28
    | ~ spl21
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5463]) ).

cnf(p5461,plain,
    ( ~ spl21
    | ~ spl5
    | sk17 = n7 ),
    inference(superposition,[status(thm)],[p5452,c160]) ).

cnf(p5467,plain,
    ( ~ spl29
    | ~ spl21
    | ~ spl5
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p5461,p195]) ).

cnf(p5472,plain,
    ( ~ spl29
    | ~ spl21
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5467]) ).

cnf(sct587,plain,
    ( ~ spl29
    | ~ spl21
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5472]) ).

cnf(p5470,plain,
    ( ~ spl21
    | ~ spl5
    | sk19 = n6 ),
    inference(superposition,[status(thm)],[p5461,c162]) ).

cnf(p5476,plain,
    ( ~ spl30
    | ~ spl21
    | ~ spl5
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p5470,p196]) ).

cnf(p5481,plain,
    ( ~ spl30
    | ~ spl21
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5476]) ).

cnf(sct588,plain,
    ( ~ spl30
    | ~ spl21
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5481]) ).

cnf(p5479,plain,
    ( ~ spl21
    | ~ spl5
    | sk21 = n2 ),
    inference(superposition,[status(thm)],[p5470,c164]) ).

cnf(p5483,plain,
    ( ~ spl31
    | ~ spl21
    | ~ spl5
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p5479,p197]) ).

cnf(p5484,plain,
    ( ~ spl31
    | ~ spl21
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5483]) ).

cnf(sct589,plain,
    ( ~ spl31
    | ~ spl21
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5484]) ).

cnf(p5486,plain,
    ( ~ spl19
    | ~ spl5
    | sk3 = n4 ),
    inference(superposition,[status(thm)],[p164,p5312]) ).

cnf(p5490,plain,
    ( ~ spl22
    | ~ spl19
    | ~ spl5
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p5486,p188]) ).

cnf(p5495,plain,
    ( ~ spl22
    | ~ spl19
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5490]) ).

cnf(sct590,plain,
    ( ~ spl22
    | ~ spl19
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5495]) ).

cnf(p5493,plain,
    ( ~ spl19
    | ~ spl5
    | sk5 = n5 ),
    inference(superposition,[status(thm)],[p5486,c148]) ).

cnf(p5499,plain,
    ( ~ spl23
    | ~ spl19
    | ~ spl5
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p5493,p189]) ).

cnf(p5504,plain,
    ( ~ spl23
    | ~ spl19
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5499]) ).

cnf(sct591,plain,
    ( ~ spl23
    | ~ spl19
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5504]) ).

cnf(p5502,plain,
    ( ~ spl19
    | ~ spl5
    | sk7 = n9 ),
    inference(superposition,[status(thm)],[p5493,c150]) ).

cnf(p5508,plain,
    ( ~ spl24
    | ~ spl19
    | ~ spl5
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p5502,p190]) ).

cnf(p5513,plain,
    ( ~ spl24
    | ~ spl19
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5508]) ).

cnf(sct592,plain,
    ( ~ spl24
    | ~ spl19
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5513]) ).

cnf(p5511,plain,
    ( ~ spl19
    | ~ spl5
    | sk9 = n3 ),
    inference(superposition,[status(thm)],[p5502,c152]) ).

cnf(p5517,plain,
    ( ~ spl25
    | ~ spl19
    | ~ spl5
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p5511,p191]) ).

cnf(p5522,plain,
    ( ~ spl25
    | ~ spl19
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5517]) ).

cnf(sct593,plain,
    ( ~ spl25
    | ~ spl19
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5522]) ).

cnf(p5520,plain,
    ( ~ spl19
    | ~ spl5
    | sk11 = n1 ),
    inference(superposition,[status(thm)],[p5511,c154]) ).

cnf(p5526,plain,
    ( ~ spl26
    | ~ spl19
    | ~ spl5
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p5520,p192]) ).

cnf(p5531,plain,
    ( ~ spl26
    | ~ spl19
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5526]) ).

cnf(sct594,plain,
    ( ~ spl26
    | ~ spl19
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5531]) ).

cnf(p5529,plain,
    ( ~ spl19
    | ~ spl5
    | sk13 = n4 ),
    inference(superposition,[status(thm)],[p5520,c156]) ).

cnf(p5535,plain,
    ( ~ spl27
    | ~ spl19
    | ~ spl5
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p5529,p193]) ).

cnf(p5540,plain,
    ( ~ spl27
    | ~ spl19
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5535]) ).

cnf(sct595,plain,
    ( ~ spl27
    | ~ spl19
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5540]) ).

cnf(p5538,plain,
    ( ~ spl19
    | ~ spl5
    | sk15 = n5 ),
    inference(superposition,[status(thm)],[p5529,c158]) ).

cnf(p5544,plain,
    ( ~ spl28
    | ~ spl19
    | ~ spl5
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p5538,p194]) ).

cnf(p5549,plain,
    ( ~ spl28
    | ~ spl19
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5544]) ).

cnf(sct596,plain,
    ( ~ spl28
    | ~ spl19
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5549]) ).

cnf(p5547,plain,
    ( ~ spl19
    | ~ spl5
    | sk17 = n9 ),
    inference(superposition,[status(thm)],[p5538,c160]) ).

cnf(p5553,plain,
    ( ~ spl29
    | ~ spl19
    | ~ spl5
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p5547,p195]) ).

cnf(p5558,plain,
    ( ~ spl29
    | ~ spl19
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5553]) ).

cnf(sct597,plain,
    ( ~ spl29
    | ~ spl19
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5558]) ).

cnf(p5556,plain,
    ( ~ spl19
    | ~ spl5
    | sk19 = n3 ),
    inference(superposition,[status(thm)],[p5547,c162]) ).

cnf(p5562,plain,
    ( ~ spl30
    | ~ spl19
    | ~ spl5
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p5556,p196]) ).

cnf(p5567,plain,
    ( ~ spl30
    | ~ spl19
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5562]) ).

cnf(sct598,plain,
    ( ~ spl30
    | ~ spl19
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5567]) ).

cnf(p5565,plain,
    ( ~ spl19
    | ~ spl5
    | sk21 = n1 ),
    inference(superposition,[status(thm)],[p5556,c164]) ).

cnf(p5569,plain,
    ( ~ spl31
    | ~ spl19
    | ~ spl5
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p5565,p197]) ).

cnf(p5570,plain,
    ( ~ spl31
    | ~ spl19
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5569]) ).

cnf(sct599,plain,
    ( ~ spl31
    | ~ spl19
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5570]) ).

cnf(p5572,plain,
    ( ~ spl18
    | ~ spl5
    | sk3 = n2 ),
    inference(superposition,[status(thm)],[p163,p5312]) ).

cnf(p5576,plain,
    ( ~ spl22
    | ~ spl18
    | ~ spl5
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p5572,p188]) ).

cnf(p5581,plain,
    ( ~ spl22
    | ~ spl18
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5576]) ).

cnf(sct600,plain,
    ( ~ spl22
    | ~ spl18
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5581]) ).

cnf(p5579,plain,
    ( ~ spl18
    | ~ spl5
    | sk5 = n8 ),
    inference(superposition,[status(thm)],[p5572,c148]) ).

cnf(p5585,plain,
    ( ~ spl23
    | ~ spl18
    | ~ spl5
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p5579,p189]) ).

cnf(p5590,plain,
    ( ~ spl23
    | ~ spl18
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5585]) ).

cnf(sct601,plain,
    ( ~ spl23
    | ~ spl18
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5590]) ).

cnf(p5588,plain,
    ( ~ spl18
    | ~ spl5
    | sk7 = n10 ),
    inference(superposition,[status(thm)],[p5579,c150]) ).

cnf(p5594,plain,
    ( ~ spl24
    | ~ spl18
    | ~ spl5
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p5588,p190]) ).

cnf(p5599,plain,
    ( ~ spl24
    | ~ spl18
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5594]) ).

cnf(sct602,plain,
    ( ~ spl24
    | ~ spl18
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5599]) ).

cnf(p5597,plain,
    ( ~ spl18
    | ~ spl5
    | sk9 = n7 ),
    inference(superposition,[status(thm)],[p5588,c152]) ).

cnf(p5603,plain,
    ( ~ spl25
    | ~ spl18
    | ~ spl5
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p5597,p191]) ).

cnf(p5608,plain,
    ( ~ spl25
    | ~ spl18
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5603]) ).

cnf(sct603,plain,
    ( ~ spl25
    | ~ spl18
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5608]) ).

cnf(p5606,plain,
    ( ~ spl18
    | ~ spl5
    | sk11 = n6 ),
    inference(superposition,[status(thm)],[p5597,c154]) ).

cnf(p5612,plain,
    ( ~ spl26
    | ~ spl18
    | ~ spl5
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p5606,p192]) ).

cnf(p5617,plain,
    ( ~ spl26
    | ~ spl18
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5612]) ).

cnf(sct604,plain,
    ( ~ spl26
    | ~ spl18
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5617]) ).

cnf(p5615,plain,
    ( ~ spl18
    | ~ spl5
    | sk13 = n2 ),
    inference(superposition,[status(thm)],[p5606,c156]) ).

cnf(p5621,plain,
    ( ~ spl27
    | ~ spl18
    | ~ spl5
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p5615,p193]) ).

cnf(p5626,plain,
    ( ~ spl27
    | ~ spl18
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5621]) ).

cnf(sct605,plain,
    ( ~ spl27
    | ~ spl18
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5626]) ).

cnf(p5624,plain,
    ( ~ spl18
    | ~ spl5
    | sk15 = n8 ),
    inference(superposition,[status(thm)],[p5615,c158]) ).

cnf(p5630,plain,
    ( ~ spl28
    | ~ spl18
    | ~ spl5
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p5624,p194]) ).

cnf(p5635,plain,
    ( ~ spl28
    | ~ spl18
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5630]) ).

cnf(sct606,plain,
    ( ~ spl28
    | ~ spl18
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5635]) ).

cnf(p5633,plain,
    ( ~ spl18
    | ~ spl5
    | sk17 = n10 ),
    inference(superposition,[status(thm)],[p5624,c160]) ).

cnf(p5639,plain,
    ( ~ spl29
    | ~ spl18
    | ~ spl5
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p5633,p195]) ).

cnf(p5644,plain,
    ( ~ spl29
    | ~ spl18
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5639]) ).

cnf(sct607,plain,
    ( ~ spl29
    | ~ spl18
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5644]) ).

cnf(p5642,plain,
    ( ~ spl18
    | ~ spl5
    | sk19 = n7 ),
    inference(superposition,[status(thm)],[p5633,c162]) ).

cnf(p5648,plain,
    ( ~ spl30
    | ~ spl18
    | ~ spl5
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p5642,p196]) ).

cnf(p5653,plain,
    ( ~ spl30
    | ~ spl18
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5648]) ).

cnf(sct608,plain,
    ( ~ spl30
    | ~ spl18
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5653]) ).

cnf(p5651,plain,
    ( ~ spl18
    | ~ spl5
    | sk21 = n6 ),
    inference(superposition,[status(thm)],[p5642,c164]) ).

cnf(p5655,plain,
    ( ~ spl31
    | ~ spl18
    | ~ spl5
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p5651,p197]) ).

cnf(p5656,plain,
    ( ~ spl31
    | ~ spl18
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5655]) ).

cnf(sct609,plain,
    ( ~ spl31
    | ~ spl18
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5656]) ).

cnf(p5658,plain,
    ( ~ spl17
    | ~ spl5
    | sk3 = n0 ),
    inference(superposition,[status(thm)],[p162,p5312]) ).

cnf(p5662,plain,
    ( ~ spl22
    | ~ spl17
    | ~ spl5
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p5658,p188]) ).

cnf(p5667,plain,
    ( ~ spl22
    | ~ spl17
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5662]) ).

cnf(sct610,plain,
    ( ~ spl22
    | ~ spl17
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5667]) ).

cnf(p5665,plain,
    ( ~ spl17
    | ~ spl5
    | sk5 = n0 ),
    inference(superposition,[status(thm)],[p5658,c148]) ).

cnf(p5671,plain,
    ( ~ spl23
    | ~ spl17
    | ~ spl5
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p5665,p189]) ).

cnf(p5676,plain,
    ( ~ spl23
    | ~ spl17
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5671]) ).

cnf(sct611,plain,
    ( ~ spl23
    | ~ spl17
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5676]) ).

cnf(p5674,plain,
    ( ~ spl17
    | ~ spl5
    | sk7 = n0 ),
    inference(superposition,[status(thm)],[p5665,c150]) ).

cnf(p5680,plain,
    ( ~ spl24
    | ~ spl17
    | ~ spl5
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p5674,p190]) ).

cnf(p5685,plain,
    ( ~ spl24
    | ~ spl17
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5680]) ).

cnf(sct612,plain,
    ( ~ spl24
    | ~ spl17
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5685]) ).

cnf(p5683,plain,
    ( ~ spl17
    | ~ spl5
    | sk9 = n0 ),
    inference(superposition,[status(thm)],[p5674,c152]) ).

cnf(p5689,plain,
    ( ~ spl25
    | ~ spl17
    | ~ spl5
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p5683,p191]) ).

cnf(p5694,plain,
    ( ~ spl25
    | ~ spl17
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5689]) ).

cnf(sct613,plain,
    ( ~ spl25
    | ~ spl17
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5694]) ).

cnf(p5692,plain,
    ( ~ spl17
    | ~ spl5
    | sk11 = n0 ),
    inference(superposition,[status(thm)],[p5683,c154]) ).

cnf(p5698,plain,
    ( ~ spl26
    | ~ spl17
    | ~ spl5
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p5692,p192]) ).

cnf(p5703,plain,
    ( ~ spl26
    | ~ spl17
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5698]) ).

cnf(sct614,plain,
    ( ~ spl26
    | ~ spl17
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5703]) ).

cnf(p5701,plain,
    ( ~ spl17
    | ~ spl5
    | sk13 = n0 ),
    inference(superposition,[status(thm)],[p5692,c156]) ).

cnf(p5707,plain,
    ( ~ spl27
    | ~ spl17
    | ~ spl5
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p5701,p193]) ).

cnf(p5712,plain,
    ( ~ spl27
    | ~ spl17
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5707]) ).

cnf(sct615,plain,
    ( ~ spl27
    | ~ spl17
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5712]) ).

cnf(p5710,plain,
    ( ~ spl17
    | ~ spl5
    | sk15 = n0 ),
    inference(superposition,[status(thm)],[p5701,c158]) ).

cnf(p5716,plain,
    ( ~ spl28
    | ~ spl17
    | ~ spl5
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p5710,p194]) ).

cnf(p5721,plain,
    ( ~ spl28
    | ~ spl17
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5716]) ).

cnf(sct616,plain,
    ( ~ spl28
    | ~ spl17
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5721]) ).

cnf(p5719,plain,
    ( ~ spl17
    | ~ spl5
    | sk17 = n0 ),
    inference(superposition,[status(thm)],[p5710,c160]) ).

cnf(p5725,plain,
    ( ~ spl29
    | ~ spl17
    | ~ spl5
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p5719,p195]) ).

cnf(p5730,plain,
    ( ~ spl29
    | ~ spl17
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5725]) ).

cnf(sct617,plain,
    ( ~ spl29
    | ~ spl17
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5730]) ).

cnf(p5728,plain,
    ( ~ spl17
    | ~ spl5
    | sk19 = n0 ),
    inference(superposition,[status(thm)],[p5719,c162]) ).

cnf(p5734,plain,
    ( ~ spl30
    | ~ spl17
    | ~ spl5
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p5728,p196]) ).

cnf(p5739,plain,
    ( ~ spl30
    | ~ spl17
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5734]) ).

cnf(sct618,plain,
    ( ~ spl30
    | ~ spl17
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5739]) ).

cnf(p5737,plain,
    ( ~ spl17
    | ~ spl5
    | sk21 = n0 ),
    inference(superposition,[status(thm)],[p5728,c164]) ).

cnf(p5741,plain,
    ( ~ spl31
    | ~ spl17
    | ~ spl5
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p5737,p197]) ).

cnf(p5742,plain,
    ( ~ spl31
    | ~ spl17
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5741]) ).

cnf(sct619,plain,
    ( ~ spl31
    | ~ spl17
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5742]) ).

cnf(p5744,plain,
    ( ~ spl16
    | ~ spl5
    | sk3 = n9 ),
    inference(superposition,[status(thm)],[p161,p5312]) ).

cnf(p5748,plain,
    ( ~ spl22
    | ~ spl16
    | ~ spl5
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p5744,p188]) ).

cnf(p5753,plain,
    ( ~ spl22
    | ~ spl16
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5748]) ).

cnf(sct620,plain,
    ( ~ spl22
    | ~ spl16
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5753]) ).

cnf(p5751,plain,
    ( ~ spl16
    | ~ spl5
    | sk5 = n3 ),
    inference(superposition,[status(thm)],[p5744,c148]) ).

cnf(p5757,plain,
    ( ~ spl23
    | ~ spl16
    | ~ spl5
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p5751,p189]) ).

cnf(p5762,plain,
    ( ~ spl23
    | ~ spl16
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5757]) ).

cnf(sct621,plain,
    ( ~ spl23
    | ~ spl16
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5762]) ).

cnf(p5760,plain,
    ( ~ spl16
    | ~ spl5
    | sk7 = n1 ),
    inference(superposition,[status(thm)],[p5751,c150]) ).

cnf(p5766,plain,
    ( ~ spl24
    | ~ spl16
    | ~ spl5
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p5760,p190]) ).

cnf(p5771,plain,
    ( ~ spl24
    | ~ spl16
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5766]) ).

cnf(sct622,plain,
    ( ~ spl24
    | ~ spl16
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5771]) ).

cnf(p5769,plain,
    ( ~ spl16
    | ~ spl5
    | sk9 = n4 ),
    inference(superposition,[status(thm)],[p5760,c152]) ).

cnf(p5775,plain,
    ( ~ spl25
    | ~ spl16
    | ~ spl5
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p5769,p191]) ).

cnf(p5780,plain,
    ( ~ spl25
    | ~ spl16
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5775]) ).

cnf(sct623,plain,
    ( ~ spl25
    | ~ spl16
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5780]) ).

cnf(p5778,plain,
    ( ~ spl16
    | ~ spl5
    | sk11 = n5 ),
    inference(superposition,[status(thm)],[p5769,c154]) ).

cnf(p5784,plain,
    ( ~ spl26
    | ~ spl16
    | ~ spl5
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p5778,p192]) ).

cnf(p5789,plain,
    ( ~ spl26
    | ~ spl16
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5784]) ).

cnf(sct624,plain,
    ( ~ spl26
    | ~ spl16
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5789]) ).

cnf(p5787,plain,
    ( ~ spl16
    | ~ spl5
    | sk13 = n9 ),
    inference(superposition,[status(thm)],[p5778,c156]) ).

cnf(p5793,plain,
    ( ~ spl27
    | ~ spl16
    | ~ spl5
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p5787,p193]) ).

cnf(p5798,plain,
    ( ~ spl27
    | ~ spl16
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5793]) ).

cnf(sct625,plain,
    ( ~ spl27
    | ~ spl16
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5798]) ).

cnf(p5796,plain,
    ( ~ spl16
    | ~ spl5
    | sk15 = n3 ),
    inference(superposition,[status(thm)],[p5787,c158]) ).

cnf(p5802,plain,
    ( ~ spl28
    | ~ spl16
    | ~ spl5
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p5796,p194]) ).

cnf(p5807,plain,
    ( ~ spl28
    | ~ spl16
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5802]) ).

cnf(sct626,plain,
    ( ~ spl28
    | ~ spl16
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5807]) ).

cnf(p5805,plain,
    ( ~ spl16
    | ~ spl5
    | sk17 = n1 ),
    inference(superposition,[status(thm)],[p5796,c160]) ).

cnf(p5811,plain,
    ( ~ spl29
    | ~ spl16
    | ~ spl5
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p5805,p195]) ).

cnf(p5816,plain,
    ( ~ spl29
    | ~ spl16
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5811]) ).

cnf(sct627,plain,
    ( ~ spl29
    | ~ spl16
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5816]) ).

cnf(p5814,plain,
    ( ~ spl16
    | ~ spl5
    | sk19 = n4 ),
    inference(superposition,[status(thm)],[p5805,c162]) ).

cnf(p5820,plain,
    ( ~ spl30
    | ~ spl16
    | ~ spl5
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p5814,p196]) ).

cnf(p5825,plain,
    ( ~ spl30
    | ~ spl16
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5820]) ).

cnf(sct628,plain,
    ( ~ spl30
    | ~ spl16
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5825]) ).

cnf(p5823,plain,
    ( ~ spl16
    | ~ spl5
    | sk21 = n5 ),
    inference(superposition,[status(thm)],[p5814,c164]) ).

cnf(p5827,plain,
    ( ~ spl31
    | ~ spl16
    | ~ spl5
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p5823,p197]) ).

cnf(p5828,plain,
    ( ~ spl31
    | ~ spl16
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5827]) ).

cnf(sct629,plain,
    ( ~ spl31
    | ~ spl16
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5828]) ).

cnf(p5830,plain,
    ( ~ spl15
    | ~ spl5
    | sk3 = n7 ),
    inference(superposition,[status(thm)],[p160,p5312]) ).

cnf(p5834,plain,
    ( ~ spl22
    | ~ spl15
    | ~ spl5
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p5830,p188]) ).

cnf(p5839,plain,
    ( ~ spl22
    | ~ spl15
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5834]) ).

cnf(sct630,plain,
    ( ~ spl22
    | ~ spl15
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5839]) ).

cnf(p5837,plain,
    ( ~ spl15
    | ~ spl5
    | sk5 = n6 ),
    inference(superposition,[status(thm)],[p5830,c148]) ).

cnf(p5843,plain,
    ( ~ spl23
    | ~ spl15
    | ~ spl5
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p5837,p189]) ).

cnf(p5848,plain,
    ( ~ spl23
    | ~ spl15
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5843]) ).

cnf(sct631,plain,
    ( ~ spl23
    | ~ spl15
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5848]) ).

cnf(p5846,plain,
    ( ~ spl15
    | ~ spl5
    | sk7 = n2 ),
    inference(superposition,[status(thm)],[p5837,c150]) ).

cnf(p5852,plain,
    ( ~ spl24
    | ~ spl15
    | ~ spl5
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p5846,p190]) ).

cnf(p5857,plain,
    ( ~ spl24
    | ~ spl15
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5852]) ).

cnf(sct632,plain,
    ( ~ spl24
    | ~ spl15
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5857]) ).

cnf(p5855,plain,
    ( ~ spl15
    | ~ spl5
    | sk9 = n8 ),
    inference(superposition,[status(thm)],[p5846,c152]) ).

cnf(p5861,plain,
    ( ~ spl25
    | ~ spl15
    | ~ spl5
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p5855,p191]) ).

cnf(p5866,plain,
    ( ~ spl25
    | ~ spl15
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5861]) ).

cnf(sct633,plain,
    ( ~ spl25
    | ~ spl15
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5866]) ).

cnf(p5864,plain,
    ( ~ spl15
    | ~ spl5
    | sk11 = n10 ),
    inference(superposition,[status(thm)],[p5855,c154]) ).

cnf(p5870,plain,
    ( ~ spl26
    | ~ spl15
    | ~ spl5
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p5864,p192]) ).

cnf(p5875,plain,
    ( ~ spl26
    | ~ spl15
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5870]) ).

cnf(sct634,plain,
    ( ~ spl26
    | ~ spl15
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5875]) ).

cnf(p5873,plain,
    ( ~ spl15
    | ~ spl5
    | sk13 = n7 ),
    inference(superposition,[status(thm)],[p5864,c156]) ).

cnf(p5879,plain,
    ( ~ spl27
    | ~ spl15
    | ~ spl5
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p5873,p193]) ).

cnf(p5884,plain,
    ( ~ spl27
    | ~ spl15
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5879]) ).

cnf(sct635,plain,
    ( ~ spl27
    | ~ spl15
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5884]) ).

cnf(p5882,plain,
    ( ~ spl15
    | ~ spl5
    | sk15 = n6 ),
    inference(superposition,[status(thm)],[p5873,c158]) ).

cnf(p5888,plain,
    ( ~ spl28
    | ~ spl15
    | ~ spl5
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p5882,p194]) ).

cnf(p5893,plain,
    ( ~ spl28
    | ~ spl15
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5888]) ).

cnf(sct636,plain,
    ( ~ spl28
    | ~ spl15
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5893]) ).

cnf(p5891,plain,
    ( ~ spl15
    | ~ spl5
    | sk17 = n2 ),
    inference(superposition,[status(thm)],[p5882,c160]) ).

cnf(p5897,plain,
    ( ~ spl29
    | ~ spl15
    | ~ spl5
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p5891,p195]) ).

cnf(p5902,plain,
    ( ~ spl29
    | ~ spl15
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5897]) ).

cnf(sct637,plain,
    ( ~ spl29
    | ~ spl15
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5902]) ).

cnf(p5900,plain,
    ( ~ spl15
    | ~ spl5
    | sk19 = n8 ),
    inference(superposition,[status(thm)],[p5891,c162]) ).

cnf(p5906,plain,
    ( ~ spl30
    | ~ spl15
    | ~ spl5
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p5900,p196]) ).

cnf(p5911,plain,
    ( ~ spl30
    | ~ spl15
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5906]) ).

cnf(sct638,plain,
    ( ~ spl30
    | ~ spl15
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5911]) ).

cnf(p5909,plain,
    ( ~ spl15
    | ~ spl5
    | sk21 = n10 ),
    inference(superposition,[status(thm)],[p5900,c164]) ).

cnf(p5913,plain,
    ( ~ spl31
    | ~ spl15
    | ~ spl5
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p5909,p197]) ).

cnf(p5914,plain,
    ( ~ spl31
    | ~ spl15
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5913]) ).

cnf(sct639,plain,
    ( ~ spl31
    | ~ spl15
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5914]) ).

cnf(p5916,plain,
    ( ~ spl14
    | ~ spl5
    | sk3 = n5 ),
    inference(superposition,[status(thm)],[p159,p5312]) ).

cnf(p5920,plain,
    ( ~ spl22
    | ~ spl14
    | ~ spl5
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p5916,p188]) ).

cnf(p5925,plain,
    ( ~ spl22
    | ~ spl14
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5920]) ).

cnf(sct640,plain,
    ( ~ spl22
    | ~ spl14
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5925]) ).

cnf(p5923,plain,
    ( ~ spl14
    | ~ spl5
    | sk5 = n9 ),
    inference(superposition,[status(thm)],[p5916,c148]) ).

cnf(p5929,plain,
    ( ~ spl23
    | ~ spl14
    | ~ spl5
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p5923,p189]) ).

cnf(p5934,plain,
    ( ~ spl23
    | ~ spl14
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5929]) ).

cnf(sct641,plain,
    ( ~ spl23
    | ~ spl14
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5934]) ).

cnf(p5932,plain,
    ( ~ spl14
    | ~ spl5
    | sk7 = n3 ),
    inference(superposition,[status(thm)],[p5923,c150]) ).

cnf(p5938,plain,
    ( ~ spl24
    | ~ spl14
    | ~ spl5
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p5932,p190]) ).

cnf(p5943,plain,
    ( ~ spl24
    | ~ spl14
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5938]) ).

cnf(sct642,plain,
    ( ~ spl24
    | ~ spl14
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5943]) ).

cnf(p5941,plain,
    ( ~ spl14
    | ~ spl5
    | sk9 = n1 ),
    inference(superposition,[status(thm)],[p5932,c152]) ).

cnf(p5947,plain,
    ( ~ spl25
    | ~ spl14
    | ~ spl5
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p5941,p191]) ).

cnf(p5952,plain,
    ( ~ spl25
    | ~ spl14
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5947]) ).

cnf(sct643,plain,
    ( ~ spl25
    | ~ spl14
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5952]) ).

cnf(p5950,plain,
    ( ~ spl14
    | ~ spl5
    | sk11 = n4 ),
    inference(superposition,[status(thm)],[p5941,c154]) ).

cnf(p5956,plain,
    ( ~ spl26
    | ~ spl14
    | ~ spl5
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p5950,p192]) ).

cnf(p5961,plain,
    ( ~ spl26
    | ~ spl14
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5956]) ).

cnf(sct644,plain,
    ( ~ spl26
    | ~ spl14
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5961]) ).

cnf(p5959,plain,
    ( ~ spl14
    | ~ spl5
    | sk13 = n5 ),
    inference(superposition,[status(thm)],[p5950,c156]) ).

cnf(p5965,plain,
    ( ~ spl27
    | ~ spl14
    | ~ spl5
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p5959,p193]) ).

cnf(p5970,plain,
    ( ~ spl27
    | ~ spl14
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5965]) ).

cnf(sct645,plain,
    ( ~ spl27
    | ~ spl14
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5970]) ).

cnf(p5968,plain,
    ( ~ spl14
    | ~ spl5
    | sk15 = n9 ),
    inference(superposition,[status(thm)],[p5959,c158]) ).

cnf(p5974,plain,
    ( ~ spl28
    | ~ spl14
    | ~ spl5
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p5968,p194]) ).

cnf(p5979,plain,
    ( ~ spl28
    | ~ spl14
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5974]) ).

cnf(sct646,plain,
    ( ~ spl28
    | ~ spl14
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5979]) ).

cnf(p5977,plain,
    ( ~ spl14
    | ~ spl5
    | sk17 = n3 ),
    inference(superposition,[status(thm)],[p5968,c160]) ).

cnf(p5983,plain,
    ( ~ spl29
    | ~ spl14
    | ~ spl5
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p5977,p195]) ).

cnf(p5988,plain,
    ( ~ spl29
    | ~ spl14
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5983]) ).

cnf(sct647,plain,
    ( ~ spl29
    | ~ spl14
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5988]) ).

cnf(p5986,plain,
    ( ~ spl14
    | ~ spl5
    | sk19 = n1 ),
    inference(superposition,[status(thm)],[p5977,c162]) ).

cnf(p5992,plain,
    ( ~ spl30
    | ~ spl14
    | ~ spl5
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p5986,p196]) ).

cnf(p5997,plain,
    ( ~ spl30
    | ~ spl14
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5992]) ).

cnf(sct648,plain,
    ( ~ spl30
    | ~ spl14
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p5997]) ).

cnf(p5995,plain,
    ( ~ spl14
    | ~ spl5
    | sk21 = n4 ),
    inference(superposition,[status(thm)],[p5986,c164]) ).

cnf(p5999,plain,
    ( ~ spl31
    | ~ spl14
    | ~ spl5
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p5995,p197]) ).

cnf(p6000,plain,
    ( ~ spl31
    | ~ spl14
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p5999]) ).

cnf(sct649,plain,
    ( ~ spl31
    | ~ spl14
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6000]) ).

cnf(p6002,plain,
    ( ~ spl13
    | ~ spl5
    | sk3 = n3 ),
    inference(superposition,[status(thm)],[p158,p5312]) ).

cnf(p6006,plain,
    ( ~ spl22
    | ~ spl13
    | ~ spl5
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p6002,p188]) ).

cnf(p6011,plain,
    ( ~ spl22
    | ~ spl13
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p6006]) ).

cnf(sct650,plain,
    ( ~ spl22
    | ~ spl13
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6011]) ).

cnf(p6009,plain,
    ( ~ spl13
    | ~ spl5
    | sk5 = n1 ),
    inference(superposition,[status(thm)],[p6002,c148]) ).

cnf(p6015,plain,
    ( ~ spl23
    | ~ spl13
    | ~ spl5
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p6009,p189]) ).

cnf(p6020,plain,
    ( ~ spl23
    | ~ spl13
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p6015]) ).

cnf(sct651,plain,
    ( ~ spl23
    | ~ spl13
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6020]) ).

cnf(p6018,plain,
    ( ~ spl13
    | ~ spl5
    | sk7 = n4 ),
    inference(superposition,[status(thm)],[p6009,c150]) ).

cnf(p6024,plain,
    ( ~ spl24
    | ~ spl13
    | ~ spl5
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p6018,p190]) ).

cnf(p6029,plain,
    ( ~ spl24
    | ~ spl13
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p6024]) ).

cnf(sct652,plain,
    ( ~ spl24
    | ~ spl13
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6029]) ).

cnf(p6027,plain,
    ( ~ spl13
    | ~ spl5
    | sk9 = n5 ),
    inference(superposition,[status(thm)],[p6018,c152]) ).

cnf(p6033,plain,
    ( ~ spl25
    | ~ spl13
    | ~ spl5
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p6027,p191]) ).

cnf(p6038,plain,
    ( ~ spl25
    | ~ spl13
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p6033]) ).

cnf(sct653,plain,
    ( ~ spl25
    | ~ spl13
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6038]) ).

cnf(p6036,plain,
    ( ~ spl13
    | ~ spl5
    | sk11 = n9 ),
    inference(superposition,[status(thm)],[p6027,c154]) ).

cnf(p6042,plain,
    ( ~ spl26
    | ~ spl13
    | ~ spl5
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p6036,p192]) ).

cnf(p6047,plain,
    ( ~ spl26
    | ~ spl13
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p6042]) ).

cnf(sct654,plain,
    ( ~ spl26
    | ~ spl13
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6047]) ).

cnf(p6045,plain,
    ( ~ spl13
    | ~ spl5
    | sk13 = n3 ),
    inference(superposition,[status(thm)],[p6036,c156]) ).

cnf(p6051,plain,
    ( ~ spl27
    | ~ spl13
    | ~ spl5
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p6045,p193]) ).

cnf(p6056,plain,
    ( ~ spl27
    | ~ spl13
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p6051]) ).

cnf(sct655,plain,
    ( ~ spl27
    | ~ spl13
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6056]) ).

cnf(p6054,plain,
    ( ~ spl13
    | ~ spl5
    | sk15 = n1 ),
    inference(superposition,[status(thm)],[p6045,c158]) ).

cnf(p6060,plain,
    ( ~ spl28
    | ~ spl13
    | ~ spl5
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p6054,p194]) ).

cnf(p6065,plain,
    ( ~ spl28
    | ~ spl13
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p6060]) ).

cnf(sct656,plain,
    ( ~ spl28
    | ~ spl13
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6065]) ).

cnf(p6063,plain,
    ( ~ spl13
    | ~ spl5
    | sk17 = n4 ),
    inference(superposition,[status(thm)],[p6054,c160]) ).

cnf(p6069,plain,
    ( ~ spl29
    | ~ spl13
    | ~ spl5
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p6063,p195]) ).

cnf(p6074,plain,
    ( ~ spl29
    | ~ spl13
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p6069]) ).

cnf(sct657,plain,
    ( ~ spl29
    | ~ spl13
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6074]) ).

cnf(p6072,plain,
    ( ~ spl13
    | ~ spl5
    | sk19 = n5 ),
    inference(superposition,[status(thm)],[p6063,c162]) ).

cnf(p6078,plain,
    ( ~ spl30
    | ~ spl13
    | ~ spl5
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p6072,p196]) ).

cnf(p6083,plain,
    ( ~ spl30
    | ~ spl13
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p6078]) ).

cnf(sct658,plain,
    ( ~ spl30
    | ~ spl13
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6083]) ).

cnf(p6081,plain,
    ( ~ spl13
    | ~ spl5
    | sk21 = n9 ),
    inference(superposition,[status(thm)],[p6072,c164]) ).

cnf(p6085,plain,
    ( ~ spl31
    | ~ spl13
    | ~ spl5
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p6081,p197]) ).

cnf(p6086,plain,
    ( ~ spl31
    | ~ spl13
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p6085]) ).

cnf(sct659,plain,
    ( ~ spl31
    | ~ spl13
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6086]) ).

cnf(p6088,plain,
    ( ~ spl12
    | ~ spl5
    | sk3 = n1 ),
    inference(superposition,[status(thm)],[p157,p5312]) ).

cnf(p6092,plain,
    ( ~ spl22
    | ~ spl12
    | ~ spl5
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p6088,p188]) ).

cnf(p6097,plain,
    ( ~ spl22
    | ~ spl12
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p6092]) ).

cnf(sct660,plain,
    ( ~ spl22
    | ~ spl12
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6097]) ).

cnf(p6095,plain,
    ( ~ spl12
    | ~ spl5
    | sk5 = n4 ),
    inference(superposition,[status(thm)],[p6088,c148]) ).

cnf(p6101,plain,
    ( ~ spl23
    | ~ spl12
    | ~ spl5
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p6095,p189]) ).

cnf(p6106,plain,
    ( ~ spl23
    | ~ spl12
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p6101]) ).

cnf(sct661,plain,
    ( ~ spl23
    | ~ spl12
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6106]) ).

cnf(p6104,plain,
    ( ~ spl12
    | ~ spl5
    | sk7 = n5 ),
    inference(superposition,[status(thm)],[p6095,c150]) ).

cnf(p6110,plain,
    ( ~ spl24
    | ~ spl12
    | ~ spl5
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p6104,p190]) ).

cnf(p6115,plain,
    ( ~ spl24
    | ~ spl12
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p6110]) ).

cnf(sct662,plain,
    ( ~ spl24
    | ~ spl12
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6115]) ).

cnf(p6113,plain,
    ( ~ spl12
    | ~ spl5
    | sk9 = n9 ),
    inference(superposition,[status(thm)],[p6104,c152]) ).

cnf(p6119,plain,
    ( ~ spl25
    | ~ spl12
    | ~ spl5
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p6113,p191]) ).

cnf(p6124,plain,
    ( ~ spl25
    | ~ spl12
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p6119]) ).

cnf(sct663,plain,
    ( ~ spl25
    | ~ spl12
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6124]) ).

cnf(p6122,plain,
    ( ~ spl12
    | ~ spl5
    | sk11 = n3 ),
    inference(superposition,[status(thm)],[p6113,c154]) ).

cnf(p6128,plain,
    ( ~ spl26
    | ~ spl12
    | ~ spl5
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p6122,p192]) ).

cnf(p6133,plain,
    ( ~ spl26
    | ~ spl12
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p6128]) ).

cnf(sct664,plain,
    ( ~ spl26
    | ~ spl12
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6133]) ).

cnf(p6131,plain,
    ( ~ spl12
    | ~ spl5
    | sk13 = n1 ),
    inference(superposition,[status(thm)],[p6122,c156]) ).

cnf(p6137,plain,
    ( ~ spl27
    | ~ spl12
    | ~ spl5
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p6131,p193]) ).

cnf(p6142,plain,
    ( ~ spl27
    | ~ spl12
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p6137]) ).

cnf(sct665,plain,
    ( ~ spl27
    | ~ spl12
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6142]) ).

cnf(p6140,plain,
    ( ~ spl12
    | ~ spl5
    | sk15 = n4 ),
    inference(superposition,[status(thm)],[p6131,c158]) ).

cnf(p6146,plain,
    ( ~ spl28
    | ~ spl12
    | ~ spl5
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p6140,p194]) ).

cnf(p6151,plain,
    ( ~ spl28
    | ~ spl12
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p6146]) ).

cnf(sct666,plain,
    ( ~ spl28
    | ~ spl12
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6151]) ).

cnf(p6149,plain,
    ( ~ spl12
    | ~ spl5
    | sk17 = n5 ),
    inference(superposition,[status(thm)],[p6140,c160]) ).

cnf(p6155,plain,
    ( ~ spl29
    | ~ spl12
    | ~ spl5
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p6149,p195]) ).

cnf(p6160,plain,
    ( ~ spl29
    | ~ spl12
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p6155]) ).

cnf(sct667,plain,
    ( ~ spl29
    | ~ spl12
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6160]) ).

cnf(p6158,plain,
    ( ~ spl12
    | ~ spl5
    | sk19 = n9 ),
    inference(superposition,[status(thm)],[p6149,c162]) ).

cnf(p6164,plain,
    ( ~ spl30
    | ~ spl12
    | ~ spl5
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p6158,p196]) ).

cnf(p6169,plain,
    ( ~ spl30
    | ~ spl12
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p6164]) ).

cnf(sct668,plain,
    ( ~ spl30
    | ~ spl12
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6169]) ).

cnf(p6167,plain,
    ( ~ spl12
    | ~ spl5
    | sk21 = n3 ),
    inference(superposition,[status(thm)],[p6158,c164]) ).

cnf(p6171,plain,
    ( ~ spl31
    | ~ spl12
    | ~ spl5
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p6167,p197]) ).

cnf(p6172,plain,
    ( ~ spl31
    | ~ spl12
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p6171]) ).

cnf(sct669,plain,
    ( ~ spl31
    | ~ spl12
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6172]) ).

cnf(p6174,plain,
    ( ~ spl11
    | ~ spl5
    | sk3 = n10 ),
    inference(superposition,[status(thm)],[p156,p5312]) ).

cnf(p6178,plain,
    ( ~ spl22
    | ~ spl11
    | ~ spl5
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p6174,p188]) ).

cnf(p6183,plain,
    ( ~ spl22
    | ~ spl11
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p6178]) ).

cnf(sct670,plain,
    ( ~ spl22
    | ~ spl11
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6183]) ).

cnf(p6181,plain,
    ( ~ spl11
    | ~ spl5
    | sk5 = n7 ),
    inference(superposition,[status(thm)],[p6174,c148]) ).

cnf(p6187,plain,
    ( ~ spl23
    | ~ spl11
    | ~ spl5
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p6181,p189]) ).

cnf(p6192,plain,
    ( ~ spl23
    | ~ spl11
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p6187]) ).

cnf(sct671,plain,
    ( ~ spl23
    | ~ spl11
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6192]) ).

cnf(p6190,plain,
    ( ~ spl11
    | ~ spl5
    | sk7 = n6 ),
    inference(superposition,[status(thm)],[p6181,c150]) ).

cnf(p6196,plain,
    ( ~ spl24
    | ~ spl11
    | ~ spl5
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p6190,p190]) ).

cnf(p6201,plain,
    ( ~ spl24
    | ~ spl11
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p6196]) ).

cnf(sct672,plain,
    ( ~ spl24
    | ~ spl11
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6201]) ).

cnf(p6199,plain,
    ( ~ spl11
    | ~ spl5
    | sk9 = n2 ),
    inference(superposition,[status(thm)],[p6190,c152]) ).

cnf(p6205,plain,
    ( ~ spl25
    | ~ spl11
    | ~ spl5
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p6199,p191]) ).

cnf(p6210,plain,
    ( ~ spl25
    | ~ spl11
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p6205]) ).

cnf(sct673,plain,
    ( ~ spl25
    | ~ spl11
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6210]) ).

cnf(p6208,plain,
    ( ~ spl11
    | ~ spl5
    | sk11 = n8 ),
    inference(superposition,[status(thm)],[p6199,c154]) ).

cnf(p6214,plain,
    ( ~ spl26
    | ~ spl11
    | ~ spl5
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p6208,p192]) ).

cnf(p6219,plain,
    ( ~ spl26
    | ~ spl11
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p6214]) ).

cnf(sct674,plain,
    ( ~ spl26
    | ~ spl11
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6219]) ).

cnf(p6217,plain,
    ( ~ spl11
    | ~ spl5
    | sk13 = n10 ),
    inference(superposition,[status(thm)],[p6208,c156]) ).

cnf(p6223,plain,
    ( ~ spl27
    | ~ spl11
    | ~ spl5
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p6217,p193]) ).

cnf(p6228,plain,
    ( ~ spl27
    | ~ spl11
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p6223]) ).

cnf(sct675,plain,
    ( ~ spl27
    | ~ spl11
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6228]) ).

cnf(p6226,plain,
    ( ~ spl11
    | ~ spl5
    | sk15 = n7 ),
    inference(superposition,[status(thm)],[p6217,c158]) ).

cnf(p6232,plain,
    ( ~ spl28
    | ~ spl11
    | ~ spl5
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p6226,p194]) ).

cnf(p6237,plain,
    ( ~ spl28
    | ~ spl11
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p6232]) ).

cnf(sct676,plain,
    ( ~ spl28
    | ~ spl11
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6237]) ).

cnf(p6235,plain,
    ( ~ spl11
    | ~ spl5
    | sk17 = n6 ),
    inference(superposition,[status(thm)],[p6226,c160]) ).

cnf(p6241,plain,
    ( ~ spl29
    | ~ spl11
    | ~ spl5
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p6235,p195]) ).

cnf(p6246,plain,
    ( ~ spl29
    | ~ spl11
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p6241]) ).

cnf(sct677,plain,
    ( ~ spl29
    | ~ spl11
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6246]) ).

cnf(p6244,plain,
    ( ~ spl11
    | ~ spl5
    | sk19 = n2 ),
    inference(superposition,[status(thm)],[p6235,c162]) ).

cnf(p6250,plain,
    ( ~ spl30
    | ~ spl11
    | ~ spl5
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p6244,p196]) ).

cnf(p6255,plain,
    ( ~ spl30
    | ~ spl11
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p6250]) ).

cnf(sct678,plain,
    ( ~ spl30
    | ~ spl11
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6255]) ).

cnf(p6253,plain,
    ( ~ spl11
    | ~ spl5
    | sk21 = n8 ),
    inference(superposition,[status(thm)],[p6244,c164]) ).

cnf(p6257,plain,
    ( ~ spl31
    | ~ spl11
    | ~ spl5
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p6253,p197]) ).

cnf(p6258,plain,
    ( ~ spl31
    | ~ spl11
    | ~ spl5
    | $false ),
    inference(equality_resolution,[status(thm)],[p6257]) ).

cnf(sct679,plain,
    ( ~ spl31
    | ~ spl11
    | ~ spl5 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6258]) ).

cnf(p6261,plain,
    ( ~ spl20
    | ~ spl4
    | sk3 = n4 ),
    inference(superposition,[status(thm)],[p148,p585]) ).

cnf(p6263,plain,
    ( ~ spl22
    | ~ spl20
    | ~ spl4
    | sk2 != n4 ),
    inference(superposition,[status(thm)],[p6261,p188]) ).

cnf(p6262,plain,
    ( ~ spl20
    | ~ spl4
    | sk2 = n4 ),
    inference(superposition,[status(thm)],[p148,p582]) ).

cnf(p6271,plain,
    ( ~ spl22
    | ~ spl20
    | ~ spl4
    | $false ),
    inference(resolution,[status(thm)],[p6263,p6262]) ).

cnf(sct680,plain,
    ( ~ spl22
    | ~ spl20
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6271]) ).

cnf(p6269,plain,
    ( ~ spl20
    | ~ spl4
    | sk5 = n5 ),
    inference(superposition,[status(thm)],[p6262,c148]) ).

cnf(p6275,plain,
    ( ~ spl23
    | ~ spl20
    | ~ spl4
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p6269,p189]) ).

cnf(p6280,plain,
    ( ~ spl23
    | ~ spl20
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6275]) ).

cnf(sct681,plain,
    ( ~ spl23
    | ~ spl20
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6280]) ).

cnf(p6278,plain,
    ( ~ spl20
    | ~ spl4
    | sk7 = n9 ),
    inference(superposition,[status(thm)],[p6269,c150]) ).

cnf(p6284,plain,
    ( ~ spl24
    | ~ spl20
    | ~ spl4
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p6278,p190]) ).

cnf(p6289,plain,
    ( ~ spl24
    | ~ spl20
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6284]) ).

cnf(sct682,plain,
    ( ~ spl24
    | ~ spl20
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6289]) ).

cnf(p6287,plain,
    ( ~ spl20
    | ~ spl4
    | sk9 = n3 ),
    inference(superposition,[status(thm)],[p6278,c152]) ).

cnf(p6293,plain,
    ( ~ spl25
    | ~ spl20
    | ~ spl4
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p6287,p191]) ).

cnf(p6298,plain,
    ( ~ spl25
    | ~ spl20
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6293]) ).

cnf(sct683,plain,
    ( ~ spl25
    | ~ spl20
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6298]) ).

cnf(p6296,plain,
    ( ~ spl20
    | ~ spl4
    | sk11 = n1 ),
    inference(superposition,[status(thm)],[p6287,c154]) ).

cnf(p6302,plain,
    ( ~ spl26
    | ~ spl20
    | ~ spl4
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p6296,p192]) ).

cnf(p6307,plain,
    ( ~ spl26
    | ~ spl20
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6302]) ).

cnf(sct684,plain,
    ( ~ spl26
    | ~ spl20
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6307]) ).

cnf(p6305,plain,
    ( ~ spl20
    | ~ spl4
    | sk13 = n4 ),
    inference(superposition,[status(thm)],[p6296,c156]) ).

cnf(p6311,plain,
    ( ~ spl27
    | ~ spl20
    | ~ spl4
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p6305,p193]) ).

cnf(p6316,plain,
    ( ~ spl27
    | ~ spl20
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6311]) ).

cnf(sct685,plain,
    ( ~ spl27
    | ~ spl20
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6316]) ).

cnf(p6314,plain,
    ( ~ spl20
    | ~ spl4
    | sk15 = n5 ),
    inference(superposition,[status(thm)],[p6305,c158]) ).

cnf(p6320,plain,
    ( ~ spl28
    | ~ spl20
    | ~ spl4
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p6314,p194]) ).

cnf(p6325,plain,
    ( ~ spl28
    | ~ spl20
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6320]) ).

cnf(sct686,plain,
    ( ~ spl28
    | ~ spl20
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6325]) ).

cnf(p6323,plain,
    ( ~ spl20
    | ~ spl4
    | sk17 = n9 ),
    inference(superposition,[status(thm)],[p6314,c160]) ).

cnf(p6329,plain,
    ( ~ spl29
    | ~ spl20
    | ~ spl4
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p6323,p195]) ).

cnf(p6334,plain,
    ( ~ spl29
    | ~ spl20
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6329]) ).

cnf(sct687,plain,
    ( ~ spl29
    | ~ spl20
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6334]) ).

cnf(p6332,plain,
    ( ~ spl20
    | ~ spl4
    | sk19 = n3 ),
    inference(superposition,[status(thm)],[p6323,c162]) ).

cnf(p6338,plain,
    ( ~ spl30
    | ~ spl20
    | ~ spl4
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p6332,p196]) ).

cnf(p6343,plain,
    ( ~ spl30
    | ~ spl20
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6338]) ).

cnf(sct688,plain,
    ( ~ spl30
    | ~ spl20
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6343]) ).

cnf(p6341,plain,
    ( ~ spl20
    | ~ spl4
    | sk21 = n1 ),
    inference(superposition,[status(thm)],[p6332,c164]) ).

cnf(p6345,plain,
    ( ~ spl31
    | ~ spl20
    | ~ spl4
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p6341,p197]) ).

cnf(p6346,plain,
    ( ~ spl31
    | ~ spl20
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6345]) ).

cnf(sct689,plain,
    ( ~ spl31
    | ~ spl20
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6346]) ).

cnf(p6260,plain,
    ( ~ spl4
    | sk3 = sum(n8,sum(pred(sk1),succ(sk1))) ),
    inference(superposition,[status(thm)],[p148,c146]) ).

cnf(p6348,plain,
    ( ~ spl21
    | ~ spl4
    | sk3 = n6 ),
    inference(superposition,[status(thm)],[p166,p6260]) ).

cnf(p6352,plain,
    ( ~ spl22
    | ~ spl21
    | ~ spl4
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p6348,p188]) ).

cnf(p6357,plain,
    ( ~ spl22
    | ~ spl21
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6352]) ).

cnf(sct690,plain,
    ( ~ spl22
    | ~ spl21
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6357]) ).

cnf(p6355,plain,
    ( ~ spl21
    | ~ spl4
    | sk5 = n2 ),
    inference(superposition,[status(thm)],[p6348,c148]) ).

cnf(p6361,plain,
    ( ~ spl23
    | ~ spl21
    | ~ spl4
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p6355,p189]) ).

cnf(p6366,plain,
    ( ~ spl23
    | ~ spl21
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6361]) ).

cnf(sct691,plain,
    ( ~ spl23
    | ~ spl21
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6366]) ).

cnf(p6364,plain,
    ( ~ spl21
    | ~ spl4
    | sk7 = n8 ),
    inference(superposition,[status(thm)],[p6355,c150]) ).

cnf(p6370,plain,
    ( ~ spl24
    | ~ spl21
    | ~ spl4
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p6364,p190]) ).

cnf(p6375,plain,
    ( ~ spl24
    | ~ spl21
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6370]) ).

cnf(sct692,plain,
    ( ~ spl24
    | ~ spl21
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6375]) ).

cnf(p6373,plain,
    ( ~ spl21
    | ~ spl4
    | sk9 = n10 ),
    inference(superposition,[status(thm)],[p6364,c152]) ).

cnf(p6379,plain,
    ( ~ spl25
    | ~ spl21
    | ~ spl4
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p6373,p191]) ).

cnf(p6384,plain,
    ( ~ spl25
    | ~ spl21
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6379]) ).

cnf(sct693,plain,
    ( ~ spl25
    | ~ spl21
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6384]) ).

cnf(p6382,plain,
    ( ~ spl21
    | ~ spl4
    | sk11 = n7 ),
    inference(superposition,[status(thm)],[p6373,c154]) ).

cnf(p6388,plain,
    ( ~ spl26
    | ~ spl21
    | ~ spl4
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p6382,p192]) ).

cnf(p6393,plain,
    ( ~ spl26
    | ~ spl21
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6388]) ).

cnf(sct694,plain,
    ( ~ spl26
    | ~ spl21
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6393]) ).

cnf(p6391,plain,
    ( ~ spl21
    | ~ spl4
    | sk13 = n6 ),
    inference(superposition,[status(thm)],[p6382,c156]) ).

cnf(p6397,plain,
    ( ~ spl27
    | ~ spl21
    | ~ spl4
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p6391,p193]) ).

cnf(p6402,plain,
    ( ~ spl27
    | ~ spl21
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6397]) ).

cnf(sct695,plain,
    ( ~ spl27
    | ~ spl21
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6402]) ).

cnf(p6400,plain,
    ( ~ spl21
    | ~ spl4
    | sk15 = n2 ),
    inference(superposition,[status(thm)],[p6391,c158]) ).

cnf(p6406,plain,
    ( ~ spl28
    | ~ spl21
    | ~ spl4
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p6400,p194]) ).

cnf(p6411,plain,
    ( ~ spl28
    | ~ spl21
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6406]) ).

cnf(sct696,plain,
    ( ~ spl28
    | ~ spl21
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6411]) ).

cnf(p6409,plain,
    ( ~ spl21
    | ~ spl4
    | sk17 = n8 ),
    inference(superposition,[status(thm)],[p6400,c160]) ).

cnf(p6415,plain,
    ( ~ spl29
    | ~ spl21
    | ~ spl4
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p6409,p195]) ).

cnf(p6420,plain,
    ( ~ spl29
    | ~ spl21
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6415]) ).

cnf(sct697,plain,
    ( ~ spl29
    | ~ spl21
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6420]) ).

cnf(p6418,plain,
    ( ~ spl21
    | ~ spl4
    | sk19 = n10 ),
    inference(superposition,[status(thm)],[p6409,c162]) ).

cnf(p6424,plain,
    ( ~ spl30
    | ~ spl21
    | ~ spl4
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p6418,p196]) ).

cnf(p6429,plain,
    ( ~ spl30
    | ~ spl21
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6424]) ).

cnf(sct698,plain,
    ( ~ spl30
    | ~ spl21
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6429]) ).

cnf(p6427,plain,
    ( ~ spl21
    | ~ spl4
    | sk21 = n7 ),
    inference(superposition,[status(thm)],[p6418,c164]) ).

cnf(p6431,plain,
    ( ~ spl31
    | ~ spl21
    | ~ spl4
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p6427,p197]) ).

cnf(p6432,plain,
    ( ~ spl31
    | ~ spl21
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6431]) ).

cnf(sct699,plain,
    ( ~ spl31
    | ~ spl21
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6432]) ).

cnf(p6434,plain,
    ( ~ spl19
    | ~ spl4
    | sk3 = n2 ),
    inference(superposition,[status(thm)],[p164,p6260]) ).

cnf(p6438,plain,
    ( ~ spl22
    | ~ spl19
    | ~ spl4
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p6434,p188]) ).

cnf(p6443,plain,
    ( ~ spl22
    | ~ spl19
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6438]) ).

cnf(sct700,plain,
    ( ~ spl22
    | ~ spl19
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6443]) ).

cnf(p6441,plain,
    ( ~ spl19
    | ~ spl4
    | sk5 = n8 ),
    inference(superposition,[status(thm)],[p6434,c148]) ).

cnf(p6447,plain,
    ( ~ spl23
    | ~ spl19
    | ~ spl4
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p6441,p189]) ).

cnf(p6452,plain,
    ( ~ spl23
    | ~ spl19
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6447]) ).

cnf(sct701,plain,
    ( ~ spl23
    | ~ spl19
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6452]) ).

cnf(p6450,plain,
    ( ~ spl19
    | ~ spl4
    | sk7 = n10 ),
    inference(superposition,[status(thm)],[p6441,c150]) ).

cnf(p6456,plain,
    ( ~ spl24
    | ~ spl19
    | ~ spl4
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p6450,p190]) ).

cnf(p6461,plain,
    ( ~ spl24
    | ~ spl19
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6456]) ).

cnf(sct702,plain,
    ( ~ spl24
    | ~ spl19
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6461]) ).

cnf(p6459,plain,
    ( ~ spl19
    | ~ spl4
    | sk9 = n7 ),
    inference(superposition,[status(thm)],[p6450,c152]) ).

cnf(p6465,plain,
    ( ~ spl25
    | ~ spl19
    | ~ spl4
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p6459,p191]) ).

cnf(p6470,plain,
    ( ~ spl25
    | ~ spl19
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6465]) ).

cnf(sct703,plain,
    ( ~ spl25
    | ~ spl19
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6470]) ).

cnf(p6468,plain,
    ( ~ spl19
    | ~ spl4
    | sk11 = n6 ),
    inference(superposition,[status(thm)],[p6459,c154]) ).

cnf(p6474,plain,
    ( ~ spl26
    | ~ spl19
    | ~ spl4
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p6468,p192]) ).

cnf(p6479,plain,
    ( ~ spl26
    | ~ spl19
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6474]) ).

cnf(sct704,plain,
    ( ~ spl26
    | ~ spl19
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6479]) ).

cnf(p6477,plain,
    ( ~ spl19
    | ~ spl4
    | sk13 = n2 ),
    inference(superposition,[status(thm)],[p6468,c156]) ).

cnf(p6483,plain,
    ( ~ spl27
    | ~ spl19
    | ~ spl4
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p6477,p193]) ).

cnf(p6488,plain,
    ( ~ spl27
    | ~ spl19
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6483]) ).

cnf(sct705,plain,
    ( ~ spl27
    | ~ spl19
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6488]) ).

cnf(p6486,plain,
    ( ~ spl19
    | ~ spl4
    | sk15 = n8 ),
    inference(superposition,[status(thm)],[p6477,c158]) ).

cnf(p6492,plain,
    ( ~ spl28
    | ~ spl19
    | ~ spl4
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p6486,p194]) ).

cnf(p6497,plain,
    ( ~ spl28
    | ~ spl19
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6492]) ).

cnf(sct706,plain,
    ( ~ spl28
    | ~ spl19
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6497]) ).

cnf(p6495,plain,
    ( ~ spl19
    | ~ spl4
    | sk17 = n10 ),
    inference(superposition,[status(thm)],[p6486,c160]) ).

cnf(p6501,plain,
    ( ~ spl29
    | ~ spl19
    | ~ spl4
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p6495,p195]) ).

cnf(p6506,plain,
    ( ~ spl29
    | ~ spl19
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6501]) ).

cnf(sct707,plain,
    ( ~ spl29
    | ~ spl19
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6506]) ).

cnf(p6504,plain,
    ( ~ spl19
    | ~ spl4
    | sk19 = n7 ),
    inference(superposition,[status(thm)],[p6495,c162]) ).

cnf(p6510,plain,
    ( ~ spl30
    | ~ spl19
    | ~ spl4
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p6504,p196]) ).

cnf(p6515,plain,
    ( ~ spl30
    | ~ spl19
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6510]) ).

cnf(sct708,plain,
    ( ~ spl30
    | ~ spl19
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6515]) ).

cnf(p6513,plain,
    ( ~ spl19
    | ~ spl4
    | sk21 = n6 ),
    inference(superposition,[status(thm)],[p6504,c164]) ).

cnf(p6517,plain,
    ( ~ spl31
    | ~ spl19
    | ~ spl4
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p6513,p197]) ).

cnf(p6518,plain,
    ( ~ spl31
    | ~ spl19
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6517]) ).

cnf(sct709,plain,
    ( ~ spl31
    | ~ spl19
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6518]) ).

cnf(p6520,plain,
    ( ~ spl18
    | ~ spl4
    | sk3 = n0 ),
    inference(superposition,[status(thm)],[p163,p6260]) ).

cnf(p6524,plain,
    ( ~ spl22
    | ~ spl18
    | ~ spl4
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p6520,p188]) ).

cnf(p6529,plain,
    ( ~ spl22
    | ~ spl18
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6524]) ).

cnf(sct710,plain,
    ( ~ spl22
    | ~ spl18
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6529]) ).

cnf(p6527,plain,
    ( ~ spl18
    | ~ spl4
    | sk5 = n0 ),
    inference(superposition,[status(thm)],[p6520,c148]) ).

cnf(p6533,plain,
    ( ~ spl23
    | ~ spl18
    | ~ spl4
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p6527,p189]) ).

cnf(p6538,plain,
    ( ~ spl23
    | ~ spl18
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6533]) ).

cnf(sct711,plain,
    ( ~ spl23
    | ~ spl18
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6538]) ).

cnf(p6536,plain,
    ( ~ spl18
    | ~ spl4
    | sk7 = n0 ),
    inference(superposition,[status(thm)],[p6527,c150]) ).

cnf(p6542,plain,
    ( ~ spl24
    | ~ spl18
    | ~ spl4
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p6536,p190]) ).

cnf(p6547,plain,
    ( ~ spl24
    | ~ spl18
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6542]) ).

cnf(sct712,plain,
    ( ~ spl24
    | ~ spl18
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6547]) ).

cnf(p6545,plain,
    ( ~ spl18
    | ~ spl4
    | sk9 = n0 ),
    inference(superposition,[status(thm)],[p6536,c152]) ).

cnf(p6551,plain,
    ( ~ spl25
    | ~ spl18
    | ~ spl4
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p6545,p191]) ).

cnf(p6556,plain,
    ( ~ spl25
    | ~ spl18
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6551]) ).

cnf(sct713,plain,
    ( ~ spl25
    | ~ spl18
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6556]) ).

cnf(p6554,plain,
    ( ~ spl18
    | ~ spl4
    | sk11 = n0 ),
    inference(superposition,[status(thm)],[p6545,c154]) ).

cnf(p6560,plain,
    ( ~ spl26
    | ~ spl18
    | ~ spl4
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p6554,p192]) ).

cnf(p6565,plain,
    ( ~ spl26
    | ~ spl18
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6560]) ).

cnf(sct714,plain,
    ( ~ spl26
    | ~ spl18
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6565]) ).

cnf(p6563,plain,
    ( ~ spl18
    | ~ spl4
    | sk13 = n0 ),
    inference(superposition,[status(thm)],[p6554,c156]) ).

cnf(p6569,plain,
    ( ~ spl27
    | ~ spl18
    | ~ spl4
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p6563,p193]) ).

cnf(p6574,plain,
    ( ~ spl27
    | ~ spl18
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6569]) ).

cnf(sct715,plain,
    ( ~ spl27
    | ~ spl18
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6574]) ).

cnf(p6572,plain,
    ( ~ spl18
    | ~ spl4
    | sk15 = n0 ),
    inference(superposition,[status(thm)],[p6563,c158]) ).

cnf(p6578,plain,
    ( ~ spl28
    | ~ spl18
    | ~ spl4
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p6572,p194]) ).

cnf(p6583,plain,
    ( ~ spl28
    | ~ spl18
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6578]) ).

cnf(sct716,plain,
    ( ~ spl28
    | ~ spl18
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6583]) ).

cnf(p6581,plain,
    ( ~ spl18
    | ~ spl4
    | sk17 = n0 ),
    inference(superposition,[status(thm)],[p6572,c160]) ).

cnf(p6587,plain,
    ( ~ spl29
    | ~ spl18
    | ~ spl4
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p6581,p195]) ).

cnf(p6592,plain,
    ( ~ spl29
    | ~ spl18
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6587]) ).

cnf(sct717,plain,
    ( ~ spl29
    | ~ spl18
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6592]) ).

cnf(p6590,plain,
    ( ~ spl18
    | ~ spl4
    | sk19 = n0 ),
    inference(superposition,[status(thm)],[p6581,c162]) ).

cnf(p6596,plain,
    ( ~ spl30
    | ~ spl18
    | ~ spl4
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p6590,p196]) ).

cnf(p6601,plain,
    ( ~ spl30
    | ~ spl18
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6596]) ).

cnf(sct718,plain,
    ( ~ spl30
    | ~ spl18
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6601]) ).

cnf(p6599,plain,
    ( ~ spl18
    | ~ spl4
    | sk21 = n0 ),
    inference(superposition,[status(thm)],[p6590,c164]) ).

cnf(p6603,plain,
    ( ~ spl31
    | ~ spl18
    | ~ spl4
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p6599,p197]) ).

cnf(p6604,plain,
    ( ~ spl31
    | ~ spl18
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6603]) ).

cnf(sct719,plain,
    ( ~ spl31
    | ~ spl18
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6604]) ).

cnf(p6606,plain,
    ( ~ spl17
    | ~ spl4
    | sk3 = n9 ),
    inference(superposition,[status(thm)],[p162,p6260]) ).

cnf(p6610,plain,
    ( ~ spl22
    | ~ spl17
    | ~ spl4
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p6606,p188]) ).

cnf(p6615,plain,
    ( ~ spl22
    | ~ spl17
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6610]) ).

cnf(sct720,plain,
    ( ~ spl22
    | ~ spl17
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6615]) ).

cnf(p6613,plain,
    ( ~ spl17
    | ~ spl4
    | sk5 = n3 ),
    inference(superposition,[status(thm)],[p6606,c148]) ).

cnf(p6619,plain,
    ( ~ spl23
    | ~ spl17
    | ~ spl4
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p6613,p189]) ).

cnf(p6624,plain,
    ( ~ spl23
    | ~ spl17
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6619]) ).

cnf(sct721,plain,
    ( ~ spl23
    | ~ spl17
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6624]) ).

cnf(p6622,plain,
    ( ~ spl17
    | ~ spl4
    | sk7 = n1 ),
    inference(superposition,[status(thm)],[p6613,c150]) ).

cnf(p6628,plain,
    ( ~ spl24
    | ~ spl17
    | ~ spl4
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p6622,p190]) ).

cnf(p6633,plain,
    ( ~ spl24
    | ~ spl17
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6628]) ).

cnf(sct722,plain,
    ( ~ spl24
    | ~ spl17
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6633]) ).

cnf(p6631,plain,
    ( ~ spl17
    | ~ spl4
    | sk9 = n4 ),
    inference(superposition,[status(thm)],[p6622,c152]) ).

cnf(p6637,plain,
    ( ~ spl25
    | ~ spl17
    | ~ spl4
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p6631,p191]) ).

cnf(p6642,plain,
    ( ~ spl25
    | ~ spl17
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6637]) ).

cnf(sct723,plain,
    ( ~ spl25
    | ~ spl17
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6642]) ).

cnf(p6640,plain,
    ( ~ spl17
    | ~ spl4
    | sk11 = n5 ),
    inference(superposition,[status(thm)],[p6631,c154]) ).

cnf(p6646,plain,
    ( ~ spl26
    | ~ spl17
    | ~ spl4
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p6640,p192]) ).

cnf(p6651,plain,
    ( ~ spl26
    | ~ spl17
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6646]) ).

cnf(sct724,plain,
    ( ~ spl26
    | ~ spl17
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6651]) ).

cnf(p6649,plain,
    ( ~ spl17
    | ~ spl4
    | sk13 = n9 ),
    inference(superposition,[status(thm)],[p6640,c156]) ).

cnf(p6655,plain,
    ( ~ spl27
    | ~ spl17
    | ~ spl4
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p6649,p193]) ).

cnf(p6660,plain,
    ( ~ spl27
    | ~ spl17
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6655]) ).

cnf(sct725,plain,
    ( ~ spl27
    | ~ spl17
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6660]) ).

cnf(p6658,plain,
    ( ~ spl17
    | ~ spl4
    | sk15 = n3 ),
    inference(superposition,[status(thm)],[p6649,c158]) ).

cnf(p6664,plain,
    ( ~ spl28
    | ~ spl17
    | ~ spl4
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p6658,p194]) ).

cnf(p6669,plain,
    ( ~ spl28
    | ~ spl17
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6664]) ).

cnf(sct726,plain,
    ( ~ spl28
    | ~ spl17
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6669]) ).

cnf(p6667,plain,
    ( ~ spl17
    | ~ spl4
    | sk17 = n1 ),
    inference(superposition,[status(thm)],[p6658,c160]) ).

cnf(p6673,plain,
    ( ~ spl29
    | ~ spl17
    | ~ spl4
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p6667,p195]) ).

cnf(p6678,plain,
    ( ~ spl29
    | ~ spl17
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6673]) ).

cnf(sct727,plain,
    ( ~ spl29
    | ~ spl17
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6678]) ).

cnf(p6676,plain,
    ( ~ spl17
    | ~ spl4
    | sk19 = n4 ),
    inference(superposition,[status(thm)],[p6667,c162]) ).

cnf(p6682,plain,
    ( ~ spl30
    | ~ spl17
    | ~ spl4
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p6676,p196]) ).

cnf(p6687,plain,
    ( ~ spl30
    | ~ spl17
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6682]) ).

cnf(sct728,plain,
    ( ~ spl30
    | ~ spl17
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6687]) ).

cnf(p6685,plain,
    ( ~ spl17
    | ~ spl4
    | sk21 = n5 ),
    inference(superposition,[status(thm)],[p6676,c164]) ).

cnf(p6689,plain,
    ( ~ spl31
    | ~ spl17
    | ~ spl4
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p6685,p197]) ).

cnf(p6690,plain,
    ( ~ spl31
    | ~ spl17
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6689]) ).

cnf(sct729,plain,
    ( ~ spl31
    | ~ spl17
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6690]) ).

cnf(p6692,plain,
    ( ~ spl16
    | ~ spl4
    | sk3 = n7 ),
    inference(superposition,[status(thm)],[p161,p6260]) ).

cnf(p6696,plain,
    ( ~ spl22
    | ~ spl16
    | ~ spl4
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p6692,p188]) ).

cnf(p6701,plain,
    ( ~ spl22
    | ~ spl16
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6696]) ).

cnf(sct730,plain,
    ( ~ spl22
    | ~ spl16
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6701]) ).

cnf(p6699,plain,
    ( ~ spl16
    | ~ spl4
    | sk5 = n6 ),
    inference(superposition,[status(thm)],[p6692,c148]) ).

cnf(p6705,plain,
    ( ~ spl23
    | ~ spl16
    | ~ spl4
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p6699,p189]) ).

cnf(p6710,plain,
    ( ~ spl23
    | ~ spl16
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6705]) ).

cnf(sct731,plain,
    ( ~ spl23
    | ~ spl16
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6710]) ).

cnf(p6708,plain,
    ( ~ spl16
    | ~ spl4
    | sk7 = n2 ),
    inference(superposition,[status(thm)],[p6699,c150]) ).

cnf(p6714,plain,
    ( ~ spl24
    | ~ spl16
    | ~ spl4
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p6708,p190]) ).

cnf(p6719,plain,
    ( ~ spl24
    | ~ spl16
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6714]) ).

cnf(sct732,plain,
    ( ~ spl24
    | ~ spl16
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6719]) ).

cnf(p6717,plain,
    ( ~ spl16
    | ~ spl4
    | sk9 = n8 ),
    inference(superposition,[status(thm)],[p6708,c152]) ).

cnf(p6723,plain,
    ( ~ spl25
    | ~ spl16
    | ~ spl4
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p6717,p191]) ).

cnf(p6728,plain,
    ( ~ spl25
    | ~ spl16
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6723]) ).

cnf(sct733,plain,
    ( ~ spl25
    | ~ spl16
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6728]) ).

cnf(p6726,plain,
    ( ~ spl16
    | ~ spl4
    | sk11 = n10 ),
    inference(superposition,[status(thm)],[p6717,c154]) ).

cnf(p6732,plain,
    ( ~ spl26
    | ~ spl16
    | ~ spl4
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p6726,p192]) ).

cnf(p6737,plain,
    ( ~ spl26
    | ~ spl16
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6732]) ).

cnf(sct734,plain,
    ( ~ spl26
    | ~ spl16
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6737]) ).

cnf(p6735,plain,
    ( ~ spl16
    | ~ spl4
    | sk13 = n7 ),
    inference(superposition,[status(thm)],[p6726,c156]) ).

cnf(p6741,plain,
    ( ~ spl27
    | ~ spl16
    | ~ spl4
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p6735,p193]) ).

cnf(p6746,plain,
    ( ~ spl27
    | ~ spl16
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6741]) ).

cnf(sct735,plain,
    ( ~ spl27
    | ~ spl16
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6746]) ).

cnf(p6744,plain,
    ( ~ spl16
    | ~ spl4
    | sk15 = n6 ),
    inference(superposition,[status(thm)],[p6735,c158]) ).

cnf(p6750,plain,
    ( ~ spl28
    | ~ spl16
    | ~ spl4
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p6744,p194]) ).

cnf(p6755,plain,
    ( ~ spl28
    | ~ spl16
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6750]) ).

cnf(sct736,plain,
    ( ~ spl28
    | ~ spl16
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6755]) ).

cnf(p6753,plain,
    ( ~ spl16
    | ~ spl4
    | sk17 = n2 ),
    inference(superposition,[status(thm)],[p6744,c160]) ).

cnf(p6759,plain,
    ( ~ spl29
    | ~ spl16
    | ~ spl4
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p6753,p195]) ).

cnf(p6764,plain,
    ( ~ spl29
    | ~ spl16
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6759]) ).

cnf(sct737,plain,
    ( ~ spl29
    | ~ spl16
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6764]) ).

cnf(p6762,plain,
    ( ~ spl16
    | ~ spl4
    | sk19 = n8 ),
    inference(superposition,[status(thm)],[p6753,c162]) ).

cnf(p6768,plain,
    ( ~ spl30
    | ~ spl16
    | ~ spl4
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p6762,p196]) ).

cnf(p6773,plain,
    ( ~ spl30
    | ~ spl16
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6768]) ).

cnf(sct738,plain,
    ( ~ spl30
    | ~ spl16
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6773]) ).

cnf(p6771,plain,
    ( ~ spl16
    | ~ spl4
    | sk21 = n10 ),
    inference(superposition,[status(thm)],[p6762,c164]) ).

cnf(p6775,plain,
    ( ~ spl31
    | ~ spl16
    | ~ spl4
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p6771,p197]) ).

cnf(p6776,plain,
    ( ~ spl31
    | ~ spl16
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6775]) ).

cnf(sct739,plain,
    ( ~ spl31
    | ~ spl16
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6776]) ).

cnf(p6778,plain,
    ( ~ spl15
    | ~ spl4
    | sk3 = n5 ),
    inference(superposition,[status(thm)],[p160,p6260]) ).

cnf(p6782,plain,
    ( ~ spl22
    | ~ spl15
    | ~ spl4
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p6778,p188]) ).

cnf(p6787,plain,
    ( ~ spl22
    | ~ spl15
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6782]) ).

cnf(sct740,plain,
    ( ~ spl22
    | ~ spl15
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6787]) ).

cnf(p6785,plain,
    ( ~ spl15
    | ~ spl4
    | sk5 = n9 ),
    inference(superposition,[status(thm)],[p6778,c148]) ).

cnf(p6791,plain,
    ( ~ spl23
    | ~ spl15
    | ~ spl4
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p6785,p189]) ).

cnf(p6796,plain,
    ( ~ spl23
    | ~ spl15
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6791]) ).

cnf(sct741,plain,
    ( ~ spl23
    | ~ spl15
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6796]) ).

cnf(p6794,plain,
    ( ~ spl15
    | ~ spl4
    | sk7 = n3 ),
    inference(superposition,[status(thm)],[p6785,c150]) ).

cnf(p6800,plain,
    ( ~ spl24
    | ~ spl15
    | ~ spl4
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p6794,p190]) ).

cnf(p6805,plain,
    ( ~ spl24
    | ~ spl15
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6800]) ).

cnf(sct742,plain,
    ( ~ spl24
    | ~ spl15
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6805]) ).

cnf(p6803,plain,
    ( ~ spl15
    | ~ spl4
    | sk9 = n1 ),
    inference(superposition,[status(thm)],[p6794,c152]) ).

cnf(p6809,plain,
    ( ~ spl25
    | ~ spl15
    | ~ spl4
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p6803,p191]) ).

cnf(p6814,plain,
    ( ~ spl25
    | ~ spl15
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6809]) ).

cnf(sct743,plain,
    ( ~ spl25
    | ~ spl15
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6814]) ).

cnf(p6812,plain,
    ( ~ spl15
    | ~ spl4
    | sk11 = n4 ),
    inference(superposition,[status(thm)],[p6803,c154]) ).

cnf(p6818,plain,
    ( ~ spl26
    | ~ spl15
    | ~ spl4
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p6812,p192]) ).

cnf(p6823,plain,
    ( ~ spl26
    | ~ spl15
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6818]) ).

cnf(sct744,plain,
    ( ~ spl26
    | ~ spl15
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6823]) ).

cnf(p6821,plain,
    ( ~ spl15
    | ~ spl4
    | sk13 = n5 ),
    inference(superposition,[status(thm)],[p6812,c156]) ).

cnf(p6827,plain,
    ( ~ spl27
    | ~ spl15
    | ~ spl4
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p6821,p193]) ).

cnf(p6832,plain,
    ( ~ spl27
    | ~ spl15
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6827]) ).

cnf(sct745,plain,
    ( ~ spl27
    | ~ spl15
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6832]) ).

cnf(p6830,plain,
    ( ~ spl15
    | ~ spl4
    | sk15 = n9 ),
    inference(superposition,[status(thm)],[p6821,c158]) ).

cnf(p6836,plain,
    ( ~ spl28
    | ~ spl15
    | ~ spl4
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p6830,p194]) ).

cnf(p6841,plain,
    ( ~ spl28
    | ~ spl15
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6836]) ).

cnf(sct746,plain,
    ( ~ spl28
    | ~ spl15
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6841]) ).

cnf(p6839,plain,
    ( ~ spl15
    | ~ spl4
    | sk17 = n3 ),
    inference(superposition,[status(thm)],[p6830,c160]) ).

cnf(p6845,plain,
    ( ~ spl29
    | ~ spl15
    | ~ spl4
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p6839,p195]) ).

cnf(p6850,plain,
    ( ~ spl29
    | ~ spl15
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6845]) ).

cnf(sct747,plain,
    ( ~ spl29
    | ~ spl15
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6850]) ).

cnf(p6848,plain,
    ( ~ spl15
    | ~ spl4
    | sk19 = n1 ),
    inference(superposition,[status(thm)],[p6839,c162]) ).

cnf(p6854,plain,
    ( ~ spl30
    | ~ spl15
    | ~ spl4
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p6848,p196]) ).

cnf(p6859,plain,
    ( ~ spl30
    | ~ spl15
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6854]) ).

cnf(sct748,plain,
    ( ~ spl30
    | ~ spl15
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6859]) ).

cnf(p6857,plain,
    ( ~ spl15
    | ~ spl4
    | sk21 = n4 ),
    inference(superposition,[status(thm)],[p6848,c164]) ).

cnf(p6861,plain,
    ( ~ spl31
    | ~ spl15
    | ~ spl4
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p6857,p197]) ).

cnf(p6862,plain,
    ( ~ spl31
    | ~ spl15
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6861]) ).

cnf(sct749,plain,
    ( ~ spl31
    | ~ spl15
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6862]) ).

cnf(p6864,plain,
    ( ~ spl14
    | ~ spl4
    | sk3 = n3 ),
    inference(superposition,[status(thm)],[p159,p6260]) ).

cnf(p6868,plain,
    ( ~ spl22
    | ~ spl14
    | ~ spl4
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p6864,p188]) ).

cnf(p6873,plain,
    ( ~ spl22
    | ~ spl14
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6868]) ).

cnf(sct750,plain,
    ( ~ spl22
    | ~ spl14
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6873]) ).

cnf(p6871,plain,
    ( ~ spl14
    | ~ spl4
    | sk5 = n1 ),
    inference(superposition,[status(thm)],[p6864,c148]) ).

cnf(p6877,plain,
    ( ~ spl23
    | ~ spl14
    | ~ spl4
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p6871,p189]) ).

cnf(p6882,plain,
    ( ~ spl23
    | ~ spl14
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6877]) ).

cnf(sct751,plain,
    ( ~ spl23
    | ~ spl14
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6882]) ).

cnf(p6880,plain,
    ( ~ spl14
    | ~ spl4
    | sk7 = n4 ),
    inference(superposition,[status(thm)],[p6871,c150]) ).

cnf(p6886,plain,
    ( ~ spl24
    | ~ spl14
    | ~ spl4
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p6880,p190]) ).

cnf(p6891,plain,
    ( ~ spl24
    | ~ spl14
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6886]) ).

cnf(sct752,plain,
    ( ~ spl24
    | ~ spl14
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6891]) ).

cnf(p6889,plain,
    ( ~ spl14
    | ~ spl4
    | sk9 = n5 ),
    inference(superposition,[status(thm)],[p6880,c152]) ).

cnf(p6895,plain,
    ( ~ spl25
    | ~ spl14
    | ~ spl4
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p6889,p191]) ).

cnf(p6900,plain,
    ( ~ spl25
    | ~ spl14
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6895]) ).

cnf(sct753,plain,
    ( ~ spl25
    | ~ spl14
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6900]) ).

cnf(p6898,plain,
    ( ~ spl14
    | ~ spl4
    | sk11 = n9 ),
    inference(superposition,[status(thm)],[p6889,c154]) ).

cnf(p6904,plain,
    ( ~ spl26
    | ~ spl14
    | ~ spl4
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p6898,p192]) ).

cnf(p6909,plain,
    ( ~ spl26
    | ~ spl14
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6904]) ).

cnf(sct754,plain,
    ( ~ spl26
    | ~ spl14
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6909]) ).

cnf(p6907,plain,
    ( ~ spl14
    | ~ spl4
    | sk13 = n3 ),
    inference(superposition,[status(thm)],[p6898,c156]) ).

cnf(p6913,plain,
    ( ~ spl27
    | ~ spl14
    | ~ spl4
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p6907,p193]) ).

cnf(p6918,plain,
    ( ~ spl27
    | ~ spl14
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6913]) ).

cnf(sct755,plain,
    ( ~ spl27
    | ~ spl14
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6918]) ).

cnf(p6916,plain,
    ( ~ spl14
    | ~ spl4
    | sk15 = n1 ),
    inference(superposition,[status(thm)],[p6907,c158]) ).

cnf(p6922,plain,
    ( ~ spl28
    | ~ spl14
    | ~ spl4
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p6916,p194]) ).

cnf(p6927,plain,
    ( ~ spl28
    | ~ spl14
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6922]) ).

cnf(sct756,plain,
    ( ~ spl28
    | ~ spl14
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6927]) ).

cnf(p6925,plain,
    ( ~ spl14
    | ~ spl4
    | sk17 = n4 ),
    inference(superposition,[status(thm)],[p6916,c160]) ).

cnf(p6931,plain,
    ( ~ spl29
    | ~ spl14
    | ~ spl4
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p6925,p195]) ).

cnf(p6936,plain,
    ( ~ spl29
    | ~ spl14
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6931]) ).

cnf(sct757,plain,
    ( ~ spl29
    | ~ spl14
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6936]) ).

cnf(p6934,plain,
    ( ~ spl14
    | ~ spl4
    | sk19 = n5 ),
    inference(superposition,[status(thm)],[p6925,c162]) ).

cnf(p6940,plain,
    ( ~ spl30
    | ~ spl14
    | ~ spl4
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p6934,p196]) ).

cnf(p6945,plain,
    ( ~ spl30
    | ~ spl14
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6940]) ).

cnf(sct758,plain,
    ( ~ spl30
    | ~ spl14
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6945]) ).

cnf(p6943,plain,
    ( ~ spl14
    | ~ spl4
    | sk21 = n9 ),
    inference(superposition,[status(thm)],[p6934,c164]) ).

cnf(p6947,plain,
    ( ~ spl31
    | ~ spl14
    | ~ spl4
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p6943,p197]) ).

cnf(p6948,plain,
    ( ~ spl31
    | ~ spl14
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6947]) ).

cnf(sct759,plain,
    ( ~ spl31
    | ~ spl14
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6948]) ).

cnf(p6950,plain,
    ( ~ spl13
    | ~ spl4
    | sk3 = n1 ),
    inference(superposition,[status(thm)],[p158,p6260]) ).

cnf(p6954,plain,
    ( ~ spl22
    | ~ spl13
    | ~ spl4
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p6950,p188]) ).

cnf(p6959,plain,
    ( ~ spl22
    | ~ spl13
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6954]) ).

cnf(sct760,plain,
    ( ~ spl22
    | ~ spl13
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6959]) ).

cnf(p6957,plain,
    ( ~ spl13
    | ~ spl4
    | sk5 = n4 ),
    inference(superposition,[status(thm)],[p6950,c148]) ).

cnf(p6963,plain,
    ( ~ spl23
    | ~ spl13
    | ~ spl4
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p6957,p189]) ).

cnf(p6968,plain,
    ( ~ spl23
    | ~ spl13
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6963]) ).

cnf(sct761,plain,
    ( ~ spl23
    | ~ spl13
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6968]) ).

cnf(p6966,plain,
    ( ~ spl13
    | ~ spl4
    | sk7 = n5 ),
    inference(superposition,[status(thm)],[p6957,c150]) ).

cnf(p6972,plain,
    ( ~ spl24
    | ~ spl13
    | ~ spl4
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p6966,p190]) ).

cnf(p6977,plain,
    ( ~ spl24
    | ~ spl13
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6972]) ).

cnf(sct762,plain,
    ( ~ spl24
    | ~ spl13
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6977]) ).

cnf(p6975,plain,
    ( ~ spl13
    | ~ spl4
    | sk9 = n9 ),
    inference(superposition,[status(thm)],[p6966,c152]) ).

cnf(p6981,plain,
    ( ~ spl25
    | ~ spl13
    | ~ spl4
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p6975,p191]) ).

cnf(p6986,plain,
    ( ~ spl25
    | ~ spl13
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6981]) ).

cnf(sct763,plain,
    ( ~ spl25
    | ~ spl13
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6986]) ).

cnf(p6984,plain,
    ( ~ spl13
    | ~ spl4
    | sk11 = n3 ),
    inference(superposition,[status(thm)],[p6975,c154]) ).

cnf(p6990,plain,
    ( ~ spl26
    | ~ spl13
    | ~ spl4
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p6984,p192]) ).

cnf(p6995,plain,
    ( ~ spl26
    | ~ spl13
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6990]) ).

cnf(sct764,plain,
    ( ~ spl26
    | ~ spl13
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p6995]) ).

cnf(p6993,plain,
    ( ~ spl13
    | ~ spl4
    | sk13 = n1 ),
    inference(superposition,[status(thm)],[p6984,c156]) ).

cnf(p6999,plain,
    ( ~ spl27
    | ~ spl13
    | ~ spl4
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p6993,p193]) ).

cnf(p7004,plain,
    ( ~ spl27
    | ~ spl13
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p6999]) ).

cnf(sct765,plain,
    ( ~ spl27
    | ~ spl13
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7004]) ).

cnf(p7002,plain,
    ( ~ spl13
    | ~ spl4
    | sk15 = n4 ),
    inference(superposition,[status(thm)],[p6993,c158]) ).

cnf(p7008,plain,
    ( ~ spl28
    | ~ spl13
    | ~ spl4
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p7002,p194]) ).

cnf(p7013,plain,
    ( ~ spl28
    | ~ spl13
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p7008]) ).

cnf(sct766,plain,
    ( ~ spl28
    | ~ spl13
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7013]) ).

cnf(p7011,plain,
    ( ~ spl13
    | ~ spl4
    | sk17 = n5 ),
    inference(superposition,[status(thm)],[p7002,c160]) ).

cnf(p7017,plain,
    ( ~ spl29
    | ~ spl13
    | ~ spl4
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p7011,p195]) ).

cnf(p7022,plain,
    ( ~ spl29
    | ~ spl13
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p7017]) ).

cnf(sct767,plain,
    ( ~ spl29
    | ~ spl13
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7022]) ).

cnf(p7020,plain,
    ( ~ spl13
    | ~ spl4
    | sk19 = n9 ),
    inference(superposition,[status(thm)],[p7011,c162]) ).

cnf(p7026,plain,
    ( ~ spl30
    | ~ spl13
    | ~ spl4
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p7020,p196]) ).

cnf(p7031,plain,
    ( ~ spl30
    | ~ spl13
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p7026]) ).

cnf(sct768,plain,
    ( ~ spl30
    | ~ spl13
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7031]) ).

cnf(p7029,plain,
    ( ~ spl13
    | ~ spl4
    | sk21 = n3 ),
    inference(superposition,[status(thm)],[p7020,c164]) ).

cnf(p7033,plain,
    ( ~ spl31
    | ~ spl13
    | ~ spl4
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p7029,p197]) ).

cnf(p7034,plain,
    ( ~ spl31
    | ~ spl13
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p7033]) ).

cnf(sct769,plain,
    ( ~ spl31
    | ~ spl13
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7034]) ).

cnf(p7036,plain,
    ( ~ spl12
    | ~ spl4
    | sk3 = n10 ),
    inference(superposition,[status(thm)],[p157,p6260]) ).

cnf(p7040,plain,
    ( ~ spl22
    | ~ spl12
    | ~ spl4
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p7036,p188]) ).

cnf(p7045,plain,
    ( ~ spl22
    | ~ spl12
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p7040]) ).

cnf(sct770,plain,
    ( ~ spl22
    | ~ spl12
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7045]) ).

cnf(p7043,plain,
    ( ~ spl12
    | ~ spl4
    | sk5 = n7 ),
    inference(superposition,[status(thm)],[p7036,c148]) ).

cnf(p7049,plain,
    ( ~ spl23
    | ~ spl12
    | ~ spl4
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p7043,p189]) ).

cnf(p7054,plain,
    ( ~ spl23
    | ~ spl12
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p7049]) ).

cnf(sct771,plain,
    ( ~ spl23
    | ~ spl12
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7054]) ).

cnf(p7052,plain,
    ( ~ spl12
    | ~ spl4
    | sk7 = n6 ),
    inference(superposition,[status(thm)],[p7043,c150]) ).

cnf(p7058,plain,
    ( ~ spl24
    | ~ spl12
    | ~ spl4
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p7052,p190]) ).

cnf(p7063,plain,
    ( ~ spl24
    | ~ spl12
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p7058]) ).

cnf(sct772,plain,
    ( ~ spl24
    | ~ spl12
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7063]) ).

cnf(p7061,plain,
    ( ~ spl12
    | ~ spl4
    | sk9 = n2 ),
    inference(superposition,[status(thm)],[p7052,c152]) ).

cnf(p7067,plain,
    ( ~ spl25
    | ~ spl12
    | ~ spl4
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p7061,p191]) ).

cnf(p7072,plain,
    ( ~ spl25
    | ~ spl12
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p7067]) ).

cnf(sct773,plain,
    ( ~ spl25
    | ~ spl12
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7072]) ).

cnf(p7070,plain,
    ( ~ spl12
    | ~ spl4
    | sk11 = n8 ),
    inference(superposition,[status(thm)],[p7061,c154]) ).

cnf(p7076,plain,
    ( ~ spl26
    | ~ spl12
    | ~ spl4
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p7070,p192]) ).

cnf(p7081,plain,
    ( ~ spl26
    | ~ spl12
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p7076]) ).

cnf(sct774,plain,
    ( ~ spl26
    | ~ spl12
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7081]) ).

cnf(p7079,plain,
    ( ~ spl12
    | ~ spl4
    | sk13 = n10 ),
    inference(superposition,[status(thm)],[p7070,c156]) ).

cnf(p7085,plain,
    ( ~ spl27
    | ~ spl12
    | ~ spl4
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p7079,p193]) ).

cnf(p7090,plain,
    ( ~ spl27
    | ~ spl12
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p7085]) ).

cnf(sct775,plain,
    ( ~ spl27
    | ~ spl12
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7090]) ).

cnf(p7088,plain,
    ( ~ spl12
    | ~ spl4
    | sk15 = n7 ),
    inference(superposition,[status(thm)],[p7079,c158]) ).

cnf(p7094,plain,
    ( ~ spl28
    | ~ spl12
    | ~ spl4
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p7088,p194]) ).

cnf(p7099,plain,
    ( ~ spl28
    | ~ spl12
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p7094]) ).

cnf(sct776,plain,
    ( ~ spl28
    | ~ spl12
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7099]) ).

cnf(p7097,plain,
    ( ~ spl12
    | ~ spl4
    | sk17 = n6 ),
    inference(superposition,[status(thm)],[p7088,c160]) ).

cnf(p7103,plain,
    ( ~ spl29
    | ~ spl12
    | ~ spl4
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p7097,p195]) ).

cnf(p7108,plain,
    ( ~ spl29
    | ~ spl12
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p7103]) ).

cnf(sct777,plain,
    ( ~ spl29
    | ~ spl12
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7108]) ).

cnf(p7106,plain,
    ( ~ spl12
    | ~ spl4
    | sk19 = n2 ),
    inference(superposition,[status(thm)],[p7097,c162]) ).

cnf(p7112,plain,
    ( ~ spl30
    | ~ spl12
    | ~ spl4
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p7106,p196]) ).

cnf(p7117,plain,
    ( ~ spl30
    | ~ spl12
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p7112]) ).

cnf(sct778,plain,
    ( ~ spl30
    | ~ spl12
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7117]) ).

cnf(p7115,plain,
    ( ~ spl12
    | ~ spl4
    | sk21 = n8 ),
    inference(superposition,[status(thm)],[p7106,c164]) ).

cnf(p7119,plain,
    ( ~ spl31
    | ~ spl12
    | ~ spl4
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p7115,p197]) ).

cnf(p7120,plain,
    ( ~ spl31
    | ~ spl12
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p7119]) ).

cnf(sct779,plain,
    ( ~ spl31
    | ~ spl12
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7120]) ).

cnf(p7122,plain,
    ( ~ spl11
    | ~ spl4
    | sk3 = n8 ),
    inference(superposition,[status(thm)],[p156,p6260]) ).

cnf(p7126,plain,
    ( ~ spl22
    | ~ spl11
    | ~ spl4
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p7122,p188]) ).

cnf(p7131,plain,
    ( ~ spl22
    | ~ spl11
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p7126]) ).

cnf(sct780,plain,
    ( ~ spl22
    | ~ spl11
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7131]) ).

cnf(p7129,plain,
    ( ~ spl11
    | ~ spl4
    | sk5 = n10 ),
    inference(superposition,[status(thm)],[p7122,c148]) ).

cnf(p7135,plain,
    ( ~ spl23
    | ~ spl11
    | ~ spl4
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p7129,p189]) ).

cnf(p7140,plain,
    ( ~ spl23
    | ~ spl11
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p7135]) ).

cnf(sct781,plain,
    ( ~ spl23
    | ~ spl11
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7140]) ).

cnf(p7138,plain,
    ( ~ spl11
    | ~ spl4
    | sk7 = n7 ),
    inference(superposition,[status(thm)],[p7129,c150]) ).

cnf(p7144,plain,
    ( ~ spl24
    | ~ spl11
    | ~ spl4
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p7138,p190]) ).

cnf(p7149,plain,
    ( ~ spl24
    | ~ spl11
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p7144]) ).

cnf(sct782,plain,
    ( ~ spl24
    | ~ spl11
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7149]) ).

cnf(p7147,plain,
    ( ~ spl11
    | ~ spl4
    | sk9 = n6 ),
    inference(superposition,[status(thm)],[p7138,c152]) ).

cnf(p7153,plain,
    ( ~ spl25
    | ~ spl11
    | ~ spl4
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p7147,p191]) ).

cnf(p7158,plain,
    ( ~ spl25
    | ~ spl11
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p7153]) ).

cnf(sct783,plain,
    ( ~ spl25
    | ~ spl11
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7158]) ).

cnf(p7156,plain,
    ( ~ spl11
    | ~ spl4
    | sk11 = n2 ),
    inference(superposition,[status(thm)],[p7147,c154]) ).

cnf(p7162,plain,
    ( ~ spl26
    | ~ spl11
    | ~ spl4
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p7156,p192]) ).

cnf(p7167,plain,
    ( ~ spl26
    | ~ spl11
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p7162]) ).

cnf(sct784,plain,
    ( ~ spl26
    | ~ spl11
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7167]) ).

cnf(p7165,plain,
    ( ~ spl11
    | ~ spl4
    | sk13 = n8 ),
    inference(superposition,[status(thm)],[p7156,c156]) ).

cnf(p7171,plain,
    ( ~ spl27
    | ~ spl11
    | ~ spl4
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p7165,p193]) ).

cnf(p7176,plain,
    ( ~ spl27
    | ~ spl11
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p7171]) ).

cnf(sct785,plain,
    ( ~ spl27
    | ~ spl11
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7176]) ).

cnf(p7174,plain,
    ( ~ spl11
    | ~ spl4
    | sk15 = n10 ),
    inference(superposition,[status(thm)],[p7165,c158]) ).

cnf(p7180,plain,
    ( ~ spl28
    | ~ spl11
    | ~ spl4
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p7174,p194]) ).

cnf(p7185,plain,
    ( ~ spl28
    | ~ spl11
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p7180]) ).

cnf(sct786,plain,
    ( ~ spl28
    | ~ spl11
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7185]) ).

cnf(p7183,plain,
    ( ~ spl11
    | ~ spl4
    | sk17 = n7 ),
    inference(superposition,[status(thm)],[p7174,c160]) ).

cnf(p7189,plain,
    ( ~ spl29
    | ~ spl11
    | ~ spl4
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p7183,p195]) ).

cnf(p7194,plain,
    ( ~ spl29
    | ~ spl11
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p7189]) ).

cnf(sct787,plain,
    ( ~ spl29
    | ~ spl11
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7194]) ).

cnf(p7192,plain,
    ( ~ spl11
    | ~ spl4
    | sk19 = n6 ),
    inference(superposition,[status(thm)],[p7183,c162]) ).

cnf(p7198,plain,
    ( ~ spl30
    | ~ spl11
    | ~ spl4
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p7192,p196]) ).

cnf(p7203,plain,
    ( ~ spl30
    | ~ spl11
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p7198]) ).

cnf(sct788,plain,
    ( ~ spl30
    | ~ spl11
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7203]) ).

cnf(p7201,plain,
    ( ~ spl11
    | ~ spl4
    | sk21 = n2 ),
    inference(superposition,[status(thm)],[p7192,c164]) ).

cnf(p7205,plain,
    ( ~ spl31
    | ~ spl11
    | ~ spl4
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p7201,p197]) ).

cnf(p7206,plain,
    ( ~ spl31
    | ~ spl11
    | ~ spl4
    | $false ),
    inference(equality_resolution,[status(thm)],[p7205]) ).

cnf(sct789,plain,
    ( ~ spl31
    | ~ spl11
    | ~ spl4 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7206]) ).

cnf(p7209,plain,
    ( ~ spl20
    | ~ spl3
    | sk3 = n2 ),
    inference(superposition,[status(thm)],[p147,p585]) ).

cnf(p7211,plain,
    ( ~ spl22
    | ~ spl20
    | ~ spl3
    | sk2 != n2 ),
    inference(superposition,[status(thm)],[p7209,p188]) ).

cnf(p7210,plain,
    ( ~ spl20
    | ~ spl3
    | sk2 = n2 ),
    inference(superposition,[status(thm)],[p147,p582]) ).

cnf(p7219,plain,
    ( ~ spl22
    | ~ spl20
    | ~ spl3
    | $false ),
    inference(resolution,[status(thm)],[p7211,p7210]) ).

cnf(sct790,plain,
    ( ~ spl22
    | ~ spl20
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7219]) ).

cnf(p7217,plain,
    ( ~ spl20
    | ~ spl3
    | sk5 = n8 ),
    inference(superposition,[status(thm)],[p7210,c148]) ).

cnf(p7223,plain,
    ( ~ spl23
    | ~ spl20
    | ~ spl3
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p7217,p189]) ).

cnf(p7228,plain,
    ( ~ spl23
    | ~ spl20
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7223]) ).

cnf(sct791,plain,
    ( ~ spl23
    | ~ spl20
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7228]) ).

cnf(p7226,plain,
    ( ~ spl20
    | ~ spl3
    | sk7 = n10 ),
    inference(superposition,[status(thm)],[p7217,c150]) ).

cnf(p7232,plain,
    ( ~ spl24
    | ~ spl20
    | ~ spl3
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p7226,p190]) ).

cnf(p7237,plain,
    ( ~ spl24
    | ~ spl20
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7232]) ).

cnf(sct792,plain,
    ( ~ spl24
    | ~ spl20
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7237]) ).

cnf(p7235,plain,
    ( ~ spl20
    | ~ spl3
    | sk9 = n7 ),
    inference(superposition,[status(thm)],[p7226,c152]) ).

cnf(p7241,plain,
    ( ~ spl25
    | ~ spl20
    | ~ spl3
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p7235,p191]) ).

cnf(p7246,plain,
    ( ~ spl25
    | ~ spl20
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7241]) ).

cnf(sct793,plain,
    ( ~ spl25
    | ~ spl20
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7246]) ).

cnf(p7244,plain,
    ( ~ spl20
    | ~ spl3
    | sk11 = n6 ),
    inference(superposition,[status(thm)],[p7235,c154]) ).

cnf(p7250,plain,
    ( ~ spl26
    | ~ spl20
    | ~ spl3
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p7244,p192]) ).

cnf(p7255,plain,
    ( ~ spl26
    | ~ spl20
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7250]) ).

cnf(sct794,plain,
    ( ~ spl26
    | ~ spl20
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7255]) ).

cnf(p7253,plain,
    ( ~ spl20
    | ~ spl3
    | sk13 = n2 ),
    inference(superposition,[status(thm)],[p7244,c156]) ).

cnf(p7259,plain,
    ( ~ spl27
    | ~ spl20
    | ~ spl3
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p7253,p193]) ).

cnf(p7264,plain,
    ( ~ spl27
    | ~ spl20
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7259]) ).

cnf(sct795,plain,
    ( ~ spl27
    | ~ spl20
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7264]) ).

cnf(p7262,plain,
    ( ~ spl20
    | ~ spl3
    | sk15 = n8 ),
    inference(superposition,[status(thm)],[p7253,c158]) ).

cnf(p7268,plain,
    ( ~ spl28
    | ~ spl20
    | ~ spl3
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p7262,p194]) ).

cnf(p7273,plain,
    ( ~ spl28
    | ~ spl20
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7268]) ).

cnf(sct796,plain,
    ( ~ spl28
    | ~ spl20
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7273]) ).

cnf(p7271,plain,
    ( ~ spl20
    | ~ spl3
    | sk17 = n10 ),
    inference(superposition,[status(thm)],[p7262,c160]) ).

cnf(p7277,plain,
    ( ~ spl29
    | ~ spl20
    | ~ spl3
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p7271,p195]) ).

cnf(p7282,plain,
    ( ~ spl29
    | ~ spl20
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7277]) ).

cnf(sct797,plain,
    ( ~ spl29
    | ~ spl20
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7282]) ).

cnf(p7280,plain,
    ( ~ spl20
    | ~ spl3
    | sk19 = n7 ),
    inference(superposition,[status(thm)],[p7271,c162]) ).

cnf(p7286,plain,
    ( ~ spl30
    | ~ spl20
    | ~ spl3
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p7280,p196]) ).

cnf(p7291,plain,
    ( ~ spl30
    | ~ spl20
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7286]) ).

cnf(sct798,plain,
    ( ~ spl30
    | ~ spl20
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7291]) ).

cnf(p7289,plain,
    ( ~ spl20
    | ~ spl3
    | sk21 = n6 ),
    inference(superposition,[status(thm)],[p7280,c164]) ).

cnf(p7293,plain,
    ( ~ spl31
    | ~ spl20
    | ~ spl3
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p7289,p197]) ).

cnf(p7294,plain,
    ( ~ spl31
    | ~ spl20
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7293]) ).

cnf(sct799,plain,
    ( ~ spl31
    | ~ spl20
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7294]) ).

cnf(p7208,plain,
    ( ~ spl3
    | sk3 = sum(n6,sum(pred(sk1),succ(sk1))) ),
    inference(superposition,[status(thm)],[p147,c146]) ).

cnf(p7296,plain,
    ( ~ spl21
    | ~ spl3
    | sk3 = n4 ),
    inference(superposition,[status(thm)],[p166,p7208]) ).

cnf(p7300,plain,
    ( ~ spl22
    | ~ spl21
    | ~ spl3
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p7296,p188]) ).

cnf(p7305,plain,
    ( ~ spl22
    | ~ spl21
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7300]) ).

cnf(sct800,plain,
    ( ~ spl22
    | ~ spl21
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7305]) ).

cnf(p7303,plain,
    ( ~ spl21
    | ~ spl3
    | sk5 = n5 ),
    inference(superposition,[status(thm)],[p7296,c148]) ).

cnf(p7309,plain,
    ( ~ spl23
    | ~ spl21
    | ~ spl3
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p7303,p189]) ).

cnf(p7314,plain,
    ( ~ spl23
    | ~ spl21
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7309]) ).

cnf(sct801,plain,
    ( ~ spl23
    | ~ spl21
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7314]) ).

cnf(p7312,plain,
    ( ~ spl21
    | ~ spl3
    | sk7 = n9 ),
    inference(superposition,[status(thm)],[p7303,c150]) ).

cnf(p7318,plain,
    ( ~ spl24
    | ~ spl21
    | ~ spl3
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p7312,p190]) ).

cnf(p7323,plain,
    ( ~ spl24
    | ~ spl21
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7318]) ).

cnf(sct802,plain,
    ( ~ spl24
    | ~ spl21
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7323]) ).

cnf(p7321,plain,
    ( ~ spl21
    | ~ spl3
    | sk9 = n3 ),
    inference(superposition,[status(thm)],[p7312,c152]) ).

cnf(p7327,plain,
    ( ~ spl25
    | ~ spl21
    | ~ spl3
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p7321,p191]) ).

cnf(p7332,plain,
    ( ~ spl25
    | ~ spl21
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7327]) ).

cnf(sct803,plain,
    ( ~ spl25
    | ~ spl21
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7332]) ).

cnf(p7330,plain,
    ( ~ spl21
    | ~ spl3
    | sk11 = n1 ),
    inference(superposition,[status(thm)],[p7321,c154]) ).

cnf(p7336,plain,
    ( ~ spl26
    | ~ spl21
    | ~ spl3
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p7330,p192]) ).

cnf(p7341,plain,
    ( ~ spl26
    | ~ spl21
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7336]) ).

cnf(sct804,plain,
    ( ~ spl26
    | ~ spl21
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7341]) ).

cnf(p7339,plain,
    ( ~ spl21
    | ~ spl3
    | sk13 = n4 ),
    inference(superposition,[status(thm)],[p7330,c156]) ).

cnf(p7345,plain,
    ( ~ spl27
    | ~ spl21
    | ~ spl3
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p7339,p193]) ).

cnf(p7350,plain,
    ( ~ spl27
    | ~ spl21
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7345]) ).

cnf(sct805,plain,
    ( ~ spl27
    | ~ spl21
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7350]) ).

cnf(p7348,plain,
    ( ~ spl21
    | ~ spl3
    | sk15 = n5 ),
    inference(superposition,[status(thm)],[p7339,c158]) ).

cnf(p7354,plain,
    ( ~ spl28
    | ~ spl21
    | ~ spl3
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p7348,p194]) ).

cnf(p7359,plain,
    ( ~ spl28
    | ~ spl21
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7354]) ).

cnf(sct806,plain,
    ( ~ spl28
    | ~ spl21
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7359]) ).

cnf(p7357,plain,
    ( ~ spl21
    | ~ spl3
    | sk17 = n9 ),
    inference(superposition,[status(thm)],[p7348,c160]) ).

cnf(p7363,plain,
    ( ~ spl29
    | ~ spl21
    | ~ spl3
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p7357,p195]) ).

cnf(p7368,plain,
    ( ~ spl29
    | ~ spl21
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7363]) ).

cnf(sct807,plain,
    ( ~ spl29
    | ~ spl21
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7368]) ).

cnf(p7366,plain,
    ( ~ spl21
    | ~ spl3
    | sk19 = n3 ),
    inference(superposition,[status(thm)],[p7357,c162]) ).

cnf(p7372,plain,
    ( ~ spl30
    | ~ spl21
    | ~ spl3
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p7366,p196]) ).

cnf(p7377,plain,
    ( ~ spl30
    | ~ spl21
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7372]) ).

cnf(sct808,plain,
    ( ~ spl30
    | ~ spl21
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7377]) ).

cnf(p7375,plain,
    ( ~ spl21
    | ~ spl3
    | sk21 = n1 ),
    inference(superposition,[status(thm)],[p7366,c164]) ).

cnf(p7379,plain,
    ( ~ spl31
    | ~ spl21
    | ~ spl3
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p7375,p197]) ).

cnf(p7380,plain,
    ( ~ spl31
    | ~ spl21
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7379]) ).

cnf(sct809,plain,
    ( ~ spl31
    | ~ spl21
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7380]) ).

cnf(p7382,plain,
    ( ~ spl19
    | ~ spl3
    | sk3 = n0 ),
    inference(superposition,[status(thm)],[p164,p7208]) ).

cnf(p7386,plain,
    ( ~ spl22
    | ~ spl19
    | ~ spl3
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p7382,p188]) ).

cnf(p7391,plain,
    ( ~ spl22
    | ~ spl19
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7386]) ).

cnf(sct810,plain,
    ( ~ spl22
    | ~ spl19
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7391]) ).

cnf(p7389,plain,
    ( ~ spl19
    | ~ spl3
    | sk5 = n0 ),
    inference(superposition,[status(thm)],[p7382,c148]) ).

cnf(p7395,plain,
    ( ~ spl23
    | ~ spl19
    | ~ spl3
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p7389,p189]) ).

cnf(p7400,plain,
    ( ~ spl23
    | ~ spl19
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7395]) ).

cnf(sct811,plain,
    ( ~ spl23
    | ~ spl19
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7400]) ).

cnf(p7398,plain,
    ( ~ spl19
    | ~ spl3
    | sk7 = n0 ),
    inference(superposition,[status(thm)],[p7389,c150]) ).

cnf(p7404,plain,
    ( ~ spl24
    | ~ spl19
    | ~ spl3
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p7398,p190]) ).

cnf(p7409,plain,
    ( ~ spl24
    | ~ spl19
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7404]) ).

cnf(sct812,plain,
    ( ~ spl24
    | ~ spl19
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7409]) ).

cnf(p7407,plain,
    ( ~ spl19
    | ~ spl3
    | sk9 = n0 ),
    inference(superposition,[status(thm)],[p7398,c152]) ).

cnf(p7413,plain,
    ( ~ spl25
    | ~ spl19
    | ~ spl3
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p7407,p191]) ).

cnf(p7418,plain,
    ( ~ spl25
    | ~ spl19
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7413]) ).

cnf(sct813,plain,
    ( ~ spl25
    | ~ spl19
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7418]) ).

cnf(p7416,plain,
    ( ~ spl19
    | ~ spl3
    | sk11 = n0 ),
    inference(superposition,[status(thm)],[p7407,c154]) ).

cnf(p7422,plain,
    ( ~ spl26
    | ~ spl19
    | ~ spl3
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p7416,p192]) ).

cnf(p7427,plain,
    ( ~ spl26
    | ~ spl19
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7422]) ).

cnf(sct814,plain,
    ( ~ spl26
    | ~ spl19
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7427]) ).

cnf(p7425,plain,
    ( ~ spl19
    | ~ spl3
    | sk13 = n0 ),
    inference(superposition,[status(thm)],[p7416,c156]) ).

cnf(p7431,plain,
    ( ~ spl27
    | ~ spl19
    | ~ spl3
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p7425,p193]) ).

cnf(p7436,plain,
    ( ~ spl27
    | ~ spl19
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7431]) ).

cnf(sct815,plain,
    ( ~ spl27
    | ~ spl19
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7436]) ).

cnf(p7434,plain,
    ( ~ spl19
    | ~ spl3
    | sk15 = n0 ),
    inference(superposition,[status(thm)],[p7425,c158]) ).

cnf(p7440,plain,
    ( ~ spl28
    | ~ spl19
    | ~ spl3
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p7434,p194]) ).

cnf(p7445,plain,
    ( ~ spl28
    | ~ spl19
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7440]) ).

cnf(sct816,plain,
    ( ~ spl28
    | ~ spl19
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7445]) ).

cnf(p7443,plain,
    ( ~ spl19
    | ~ spl3
    | sk17 = n0 ),
    inference(superposition,[status(thm)],[p7434,c160]) ).

cnf(p7449,plain,
    ( ~ spl29
    | ~ spl19
    | ~ spl3
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p7443,p195]) ).

cnf(p7454,plain,
    ( ~ spl29
    | ~ spl19
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7449]) ).

cnf(sct817,plain,
    ( ~ spl29
    | ~ spl19
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7454]) ).

cnf(p7452,plain,
    ( ~ spl19
    | ~ spl3
    | sk19 = n0 ),
    inference(superposition,[status(thm)],[p7443,c162]) ).

cnf(p7458,plain,
    ( ~ spl30
    | ~ spl19
    | ~ spl3
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p7452,p196]) ).

cnf(p7463,plain,
    ( ~ spl30
    | ~ spl19
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7458]) ).

cnf(sct818,plain,
    ( ~ spl30
    | ~ spl19
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7463]) ).

cnf(p7461,plain,
    ( ~ spl19
    | ~ spl3
    | sk21 = n0 ),
    inference(superposition,[status(thm)],[p7452,c164]) ).

cnf(p7465,plain,
    ( ~ spl31
    | ~ spl19
    | ~ spl3
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p7461,p197]) ).

cnf(p7466,plain,
    ( ~ spl31
    | ~ spl19
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7465]) ).

cnf(sct819,plain,
    ( ~ spl31
    | ~ spl19
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7466]) ).

cnf(p7468,plain,
    ( ~ spl18
    | ~ spl3
    | sk3 = n9 ),
    inference(superposition,[status(thm)],[p163,p7208]) ).

cnf(p7472,plain,
    ( ~ spl22
    | ~ spl18
    | ~ spl3
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p7468,p188]) ).

cnf(p7477,plain,
    ( ~ spl22
    | ~ spl18
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7472]) ).

cnf(sct820,plain,
    ( ~ spl22
    | ~ spl18
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7477]) ).

cnf(p7475,plain,
    ( ~ spl18
    | ~ spl3
    | sk5 = n3 ),
    inference(superposition,[status(thm)],[p7468,c148]) ).

cnf(p7481,plain,
    ( ~ spl23
    | ~ spl18
    | ~ spl3
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p7475,p189]) ).

cnf(p7486,plain,
    ( ~ spl23
    | ~ spl18
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7481]) ).

cnf(sct821,plain,
    ( ~ spl23
    | ~ spl18
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7486]) ).

cnf(p7484,plain,
    ( ~ spl18
    | ~ spl3
    | sk7 = n1 ),
    inference(superposition,[status(thm)],[p7475,c150]) ).

cnf(p7490,plain,
    ( ~ spl24
    | ~ spl18
    | ~ spl3
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p7484,p190]) ).

cnf(p7495,plain,
    ( ~ spl24
    | ~ spl18
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7490]) ).

cnf(sct822,plain,
    ( ~ spl24
    | ~ spl18
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7495]) ).

cnf(p7493,plain,
    ( ~ spl18
    | ~ spl3
    | sk9 = n4 ),
    inference(superposition,[status(thm)],[p7484,c152]) ).

cnf(p7499,plain,
    ( ~ spl25
    | ~ spl18
    | ~ spl3
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p7493,p191]) ).

cnf(p7504,plain,
    ( ~ spl25
    | ~ spl18
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7499]) ).

cnf(sct823,plain,
    ( ~ spl25
    | ~ spl18
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7504]) ).

cnf(p7502,plain,
    ( ~ spl18
    | ~ spl3
    | sk11 = n5 ),
    inference(superposition,[status(thm)],[p7493,c154]) ).

cnf(p7508,plain,
    ( ~ spl26
    | ~ spl18
    | ~ spl3
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p7502,p192]) ).

cnf(p7513,plain,
    ( ~ spl26
    | ~ spl18
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7508]) ).

cnf(sct824,plain,
    ( ~ spl26
    | ~ spl18
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7513]) ).

cnf(p7511,plain,
    ( ~ spl18
    | ~ spl3
    | sk13 = n9 ),
    inference(superposition,[status(thm)],[p7502,c156]) ).

cnf(p7517,plain,
    ( ~ spl27
    | ~ spl18
    | ~ spl3
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p7511,p193]) ).

cnf(p7522,plain,
    ( ~ spl27
    | ~ spl18
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7517]) ).

cnf(sct825,plain,
    ( ~ spl27
    | ~ spl18
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7522]) ).

cnf(p7520,plain,
    ( ~ spl18
    | ~ spl3
    | sk15 = n3 ),
    inference(superposition,[status(thm)],[p7511,c158]) ).

cnf(p7526,plain,
    ( ~ spl28
    | ~ spl18
    | ~ spl3
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p7520,p194]) ).

cnf(p7531,plain,
    ( ~ spl28
    | ~ spl18
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7526]) ).

cnf(sct826,plain,
    ( ~ spl28
    | ~ spl18
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7531]) ).

cnf(p7529,plain,
    ( ~ spl18
    | ~ spl3
    | sk17 = n1 ),
    inference(superposition,[status(thm)],[p7520,c160]) ).

cnf(p7535,plain,
    ( ~ spl29
    | ~ spl18
    | ~ spl3
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p7529,p195]) ).

cnf(p7540,plain,
    ( ~ spl29
    | ~ spl18
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7535]) ).

cnf(sct827,plain,
    ( ~ spl29
    | ~ spl18
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7540]) ).

cnf(p7538,plain,
    ( ~ spl18
    | ~ spl3
    | sk19 = n4 ),
    inference(superposition,[status(thm)],[p7529,c162]) ).

cnf(p7544,plain,
    ( ~ spl30
    | ~ spl18
    | ~ spl3
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p7538,p196]) ).

cnf(p7549,plain,
    ( ~ spl30
    | ~ spl18
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7544]) ).

cnf(sct828,plain,
    ( ~ spl30
    | ~ spl18
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7549]) ).

cnf(p7547,plain,
    ( ~ spl18
    | ~ spl3
    | sk21 = n5 ),
    inference(superposition,[status(thm)],[p7538,c164]) ).

cnf(p7551,plain,
    ( ~ spl31
    | ~ spl18
    | ~ spl3
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p7547,p197]) ).

cnf(p7552,plain,
    ( ~ spl31
    | ~ spl18
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7551]) ).

cnf(sct829,plain,
    ( ~ spl31
    | ~ spl18
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7552]) ).

cnf(p7554,plain,
    ( ~ spl17
    | ~ spl3
    | sk3 = n7 ),
    inference(superposition,[status(thm)],[p162,p7208]) ).

cnf(p7558,plain,
    ( ~ spl22
    | ~ spl17
    | ~ spl3
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p7554,p188]) ).

cnf(p7563,plain,
    ( ~ spl22
    | ~ spl17
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7558]) ).

cnf(sct830,plain,
    ( ~ spl22
    | ~ spl17
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7563]) ).

cnf(p7561,plain,
    ( ~ spl17
    | ~ spl3
    | sk5 = n6 ),
    inference(superposition,[status(thm)],[p7554,c148]) ).

cnf(p7567,plain,
    ( ~ spl23
    | ~ spl17
    | ~ spl3
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p7561,p189]) ).

cnf(p7572,plain,
    ( ~ spl23
    | ~ spl17
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7567]) ).

cnf(sct831,plain,
    ( ~ spl23
    | ~ spl17
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7572]) ).

cnf(p7570,plain,
    ( ~ spl17
    | ~ spl3
    | sk7 = n2 ),
    inference(superposition,[status(thm)],[p7561,c150]) ).

cnf(p7576,plain,
    ( ~ spl24
    | ~ spl17
    | ~ spl3
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p7570,p190]) ).

cnf(p7581,plain,
    ( ~ spl24
    | ~ spl17
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7576]) ).

cnf(sct832,plain,
    ( ~ spl24
    | ~ spl17
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7581]) ).

cnf(p7579,plain,
    ( ~ spl17
    | ~ spl3
    | sk9 = n8 ),
    inference(superposition,[status(thm)],[p7570,c152]) ).

cnf(p7585,plain,
    ( ~ spl25
    | ~ spl17
    | ~ spl3
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p7579,p191]) ).

cnf(p7590,plain,
    ( ~ spl25
    | ~ spl17
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7585]) ).

cnf(sct833,plain,
    ( ~ spl25
    | ~ spl17
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7590]) ).

cnf(p7588,plain,
    ( ~ spl17
    | ~ spl3
    | sk11 = n10 ),
    inference(superposition,[status(thm)],[p7579,c154]) ).

cnf(p7594,plain,
    ( ~ spl26
    | ~ spl17
    | ~ spl3
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p7588,p192]) ).

cnf(p7599,plain,
    ( ~ spl26
    | ~ spl17
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7594]) ).

cnf(sct834,plain,
    ( ~ spl26
    | ~ spl17
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7599]) ).

cnf(p7597,plain,
    ( ~ spl17
    | ~ spl3
    | sk13 = n7 ),
    inference(superposition,[status(thm)],[p7588,c156]) ).

cnf(p7603,plain,
    ( ~ spl27
    | ~ spl17
    | ~ spl3
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p7597,p193]) ).

cnf(p7608,plain,
    ( ~ spl27
    | ~ spl17
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7603]) ).

cnf(sct835,plain,
    ( ~ spl27
    | ~ spl17
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7608]) ).

cnf(p7606,plain,
    ( ~ spl17
    | ~ spl3
    | sk15 = n6 ),
    inference(superposition,[status(thm)],[p7597,c158]) ).

cnf(p7612,plain,
    ( ~ spl28
    | ~ spl17
    | ~ spl3
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p7606,p194]) ).

cnf(p7617,plain,
    ( ~ spl28
    | ~ spl17
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7612]) ).

cnf(sct836,plain,
    ( ~ spl28
    | ~ spl17
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7617]) ).

cnf(p7615,plain,
    ( ~ spl17
    | ~ spl3
    | sk17 = n2 ),
    inference(superposition,[status(thm)],[p7606,c160]) ).

cnf(p7621,plain,
    ( ~ spl29
    | ~ spl17
    | ~ spl3
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p7615,p195]) ).

cnf(p7626,plain,
    ( ~ spl29
    | ~ spl17
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7621]) ).

cnf(sct837,plain,
    ( ~ spl29
    | ~ spl17
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7626]) ).

cnf(p7624,plain,
    ( ~ spl17
    | ~ spl3
    | sk19 = n8 ),
    inference(superposition,[status(thm)],[p7615,c162]) ).

cnf(p7630,plain,
    ( ~ spl30
    | ~ spl17
    | ~ spl3
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p7624,p196]) ).

cnf(p7635,plain,
    ( ~ spl30
    | ~ spl17
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7630]) ).

cnf(sct838,plain,
    ( ~ spl30
    | ~ spl17
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7635]) ).

cnf(p7633,plain,
    ( ~ spl17
    | ~ spl3
    | sk21 = n10 ),
    inference(superposition,[status(thm)],[p7624,c164]) ).

cnf(p7637,plain,
    ( ~ spl31
    | ~ spl17
    | ~ spl3
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p7633,p197]) ).

cnf(p7638,plain,
    ( ~ spl31
    | ~ spl17
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7637]) ).

cnf(sct839,plain,
    ( ~ spl31
    | ~ spl17
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7638]) ).

cnf(p7640,plain,
    ( ~ spl16
    | ~ spl3
    | sk3 = n5 ),
    inference(superposition,[status(thm)],[p161,p7208]) ).

cnf(p7644,plain,
    ( ~ spl22
    | ~ spl16
    | ~ spl3
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p7640,p188]) ).

cnf(p7649,plain,
    ( ~ spl22
    | ~ spl16
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7644]) ).

cnf(sct840,plain,
    ( ~ spl22
    | ~ spl16
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7649]) ).

cnf(p7647,plain,
    ( ~ spl16
    | ~ spl3
    | sk5 = n9 ),
    inference(superposition,[status(thm)],[p7640,c148]) ).

cnf(p7653,plain,
    ( ~ spl23
    | ~ spl16
    | ~ spl3
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p7647,p189]) ).

cnf(p7658,plain,
    ( ~ spl23
    | ~ spl16
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7653]) ).

cnf(sct841,plain,
    ( ~ spl23
    | ~ spl16
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7658]) ).

cnf(p7656,plain,
    ( ~ spl16
    | ~ spl3
    | sk7 = n3 ),
    inference(superposition,[status(thm)],[p7647,c150]) ).

cnf(p7662,plain,
    ( ~ spl24
    | ~ spl16
    | ~ spl3
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p7656,p190]) ).

cnf(p7667,plain,
    ( ~ spl24
    | ~ spl16
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7662]) ).

cnf(sct842,plain,
    ( ~ spl24
    | ~ spl16
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7667]) ).

cnf(p7665,plain,
    ( ~ spl16
    | ~ spl3
    | sk9 = n1 ),
    inference(superposition,[status(thm)],[p7656,c152]) ).

cnf(p7671,plain,
    ( ~ spl25
    | ~ spl16
    | ~ spl3
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p7665,p191]) ).

cnf(p7676,plain,
    ( ~ spl25
    | ~ spl16
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7671]) ).

cnf(sct843,plain,
    ( ~ spl25
    | ~ spl16
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7676]) ).

cnf(p7674,plain,
    ( ~ spl16
    | ~ spl3
    | sk11 = n4 ),
    inference(superposition,[status(thm)],[p7665,c154]) ).

cnf(p7680,plain,
    ( ~ spl26
    | ~ spl16
    | ~ spl3
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p7674,p192]) ).

cnf(p7685,plain,
    ( ~ spl26
    | ~ spl16
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7680]) ).

cnf(sct844,plain,
    ( ~ spl26
    | ~ spl16
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7685]) ).

cnf(p7683,plain,
    ( ~ spl16
    | ~ spl3
    | sk13 = n5 ),
    inference(superposition,[status(thm)],[p7674,c156]) ).

cnf(p7689,plain,
    ( ~ spl27
    | ~ spl16
    | ~ spl3
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p7683,p193]) ).

cnf(p7694,plain,
    ( ~ spl27
    | ~ spl16
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7689]) ).

cnf(sct845,plain,
    ( ~ spl27
    | ~ spl16
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7694]) ).

cnf(p7692,plain,
    ( ~ spl16
    | ~ spl3
    | sk15 = n9 ),
    inference(superposition,[status(thm)],[p7683,c158]) ).

cnf(p7698,plain,
    ( ~ spl28
    | ~ spl16
    | ~ spl3
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p7692,p194]) ).

cnf(p7703,plain,
    ( ~ spl28
    | ~ spl16
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7698]) ).

cnf(sct846,plain,
    ( ~ spl28
    | ~ spl16
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7703]) ).

cnf(p7701,plain,
    ( ~ spl16
    | ~ spl3
    | sk17 = n3 ),
    inference(superposition,[status(thm)],[p7692,c160]) ).

cnf(p7707,plain,
    ( ~ spl29
    | ~ spl16
    | ~ spl3
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p7701,p195]) ).

cnf(p7712,plain,
    ( ~ spl29
    | ~ spl16
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7707]) ).

cnf(sct847,plain,
    ( ~ spl29
    | ~ spl16
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7712]) ).

cnf(p7710,plain,
    ( ~ spl16
    | ~ spl3
    | sk19 = n1 ),
    inference(superposition,[status(thm)],[p7701,c162]) ).

cnf(p7716,plain,
    ( ~ spl30
    | ~ spl16
    | ~ spl3
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p7710,p196]) ).

cnf(p7721,plain,
    ( ~ spl30
    | ~ spl16
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7716]) ).

cnf(sct848,plain,
    ( ~ spl30
    | ~ spl16
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7721]) ).

cnf(p7719,plain,
    ( ~ spl16
    | ~ spl3
    | sk21 = n4 ),
    inference(superposition,[status(thm)],[p7710,c164]) ).

cnf(p7723,plain,
    ( ~ spl31
    | ~ spl16
    | ~ spl3
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p7719,p197]) ).

cnf(p7724,plain,
    ( ~ spl31
    | ~ spl16
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7723]) ).

cnf(sct849,plain,
    ( ~ spl31
    | ~ spl16
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7724]) ).

cnf(p7726,plain,
    ( ~ spl15
    | ~ spl3
    | sk3 = n3 ),
    inference(superposition,[status(thm)],[p160,p7208]) ).

cnf(p7730,plain,
    ( ~ spl22
    | ~ spl15
    | ~ spl3
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p7726,p188]) ).

cnf(p7735,plain,
    ( ~ spl22
    | ~ spl15
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7730]) ).

cnf(sct850,plain,
    ( ~ spl22
    | ~ spl15
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7735]) ).

cnf(p7733,plain,
    ( ~ spl15
    | ~ spl3
    | sk5 = n1 ),
    inference(superposition,[status(thm)],[p7726,c148]) ).

cnf(p7739,plain,
    ( ~ spl23
    | ~ spl15
    | ~ spl3
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p7733,p189]) ).

cnf(p7744,plain,
    ( ~ spl23
    | ~ spl15
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7739]) ).

cnf(sct851,plain,
    ( ~ spl23
    | ~ spl15
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7744]) ).

cnf(p7742,plain,
    ( ~ spl15
    | ~ spl3
    | sk7 = n4 ),
    inference(superposition,[status(thm)],[p7733,c150]) ).

cnf(p7748,plain,
    ( ~ spl24
    | ~ spl15
    | ~ spl3
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p7742,p190]) ).

cnf(p7753,plain,
    ( ~ spl24
    | ~ spl15
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7748]) ).

cnf(sct852,plain,
    ( ~ spl24
    | ~ spl15
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7753]) ).

cnf(p7751,plain,
    ( ~ spl15
    | ~ spl3
    | sk9 = n5 ),
    inference(superposition,[status(thm)],[p7742,c152]) ).

cnf(p7757,plain,
    ( ~ spl25
    | ~ spl15
    | ~ spl3
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p7751,p191]) ).

cnf(p7762,plain,
    ( ~ spl25
    | ~ spl15
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7757]) ).

cnf(sct853,plain,
    ( ~ spl25
    | ~ spl15
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7762]) ).

cnf(p7760,plain,
    ( ~ spl15
    | ~ spl3
    | sk11 = n9 ),
    inference(superposition,[status(thm)],[p7751,c154]) ).

cnf(p7766,plain,
    ( ~ spl26
    | ~ spl15
    | ~ spl3
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p7760,p192]) ).

cnf(p7771,plain,
    ( ~ spl26
    | ~ spl15
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7766]) ).

cnf(sct854,plain,
    ( ~ spl26
    | ~ spl15
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7771]) ).

cnf(p7769,plain,
    ( ~ spl15
    | ~ spl3
    | sk13 = n3 ),
    inference(superposition,[status(thm)],[p7760,c156]) ).

cnf(p7775,plain,
    ( ~ spl27
    | ~ spl15
    | ~ spl3
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p7769,p193]) ).

cnf(p7780,plain,
    ( ~ spl27
    | ~ spl15
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7775]) ).

cnf(sct855,plain,
    ( ~ spl27
    | ~ spl15
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7780]) ).

cnf(p7778,plain,
    ( ~ spl15
    | ~ spl3
    | sk15 = n1 ),
    inference(superposition,[status(thm)],[p7769,c158]) ).

cnf(p7784,plain,
    ( ~ spl28
    | ~ spl15
    | ~ spl3
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p7778,p194]) ).

cnf(p7789,plain,
    ( ~ spl28
    | ~ spl15
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7784]) ).

cnf(sct856,plain,
    ( ~ spl28
    | ~ spl15
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7789]) ).

cnf(p7787,plain,
    ( ~ spl15
    | ~ spl3
    | sk17 = n4 ),
    inference(superposition,[status(thm)],[p7778,c160]) ).

cnf(p7793,plain,
    ( ~ spl29
    | ~ spl15
    | ~ spl3
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p7787,p195]) ).

cnf(p7798,plain,
    ( ~ spl29
    | ~ spl15
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7793]) ).

cnf(sct857,plain,
    ( ~ spl29
    | ~ spl15
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7798]) ).

cnf(p7796,plain,
    ( ~ spl15
    | ~ spl3
    | sk19 = n5 ),
    inference(superposition,[status(thm)],[p7787,c162]) ).

cnf(p7802,plain,
    ( ~ spl30
    | ~ spl15
    | ~ spl3
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p7796,p196]) ).

cnf(p7807,plain,
    ( ~ spl30
    | ~ spl15
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7802]) ).

cnf(sct858,plain,
    ( ~ spl30
    | ~ spl15
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7807]) ).

cnf(p7805,plain,
    ( ~ spl15
    | ~ spl3
    | sk21 = n9 ),
    inference(superposition,[status(thm)],[p7796,c164]) ).

cnf(p7809,plain,
    ( ~ spl31
    | ~ spl15
    | ~ spl3
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p7805,p197]) ).

cnf(p7810,plain,
    ( ~ spl31
    | ~ spl15
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7809]) ).

cnf(sct859,plain,
    ( ~ spl31
    | ~ spl15
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7810]) ).

cnf(p7812,plain,
    ( ~ spl14
    | ~ spl3
    | sk3 = n1 ),
    inference(superposition,[status(thm)],[p159,p7208]) ).

cnf(p7816,plain,
    ( ~ spl22
    | ~ spl14
    | ~ spl3
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p7812,p188]) ).

cnf(p7821,plain,
    ( ~ spl22
    | ~ spl14
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7816]) ).

cnf(sct860,plain,
    ( ~ spl22
    | ~ spl14
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7821]) ).

cnf(p7819,plain,
    ( ~ spl14
    | ~ spl3
    | sk5 = n4 ),
    inference(superposition,[status(thm)],[p7812,c148]) ).

cnf(p7825,plain,
    ( ~ spl23
    | ~ spl14
    | ~ spl3
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p7819,p189]) ).

cnf(p7830,plain,
    ( ~ spl23
    | ~ spl14
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7825]) ).

cnf(sct861,plain,
    ( ~ spl23
    | ~ spl14
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7830]) ).

cnf(p7828,plain,
    ( ~ spl14
    | ~ spl3
    | sk7 = n5 ),
    inference(superposition,[status(thm)],[p7819,c150]) ).

cnf(p7834,plain,
    ( ~ spl24
    | ~ spl14
    | ~ spl3
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p7828,p190]) ).

cnf(p7839,plain,
    ( ~ spl24
    | ~ spl14
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7834]) ).

cnf(sct862,plain,
    ( ~ spl24
    | ~ spl14
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7839]) ).

cnf(p7837,plain,
    ( ~ spl14
    | ~ spl3
    | sk9 = n9 ),
    inference(superposition,[status(thm)],[p7828,c152]) ).

cnf(p7843,plain,
    ( ~ spl25
    | ~ spl14
    | ~ spl3
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p7837,p191]) ).

cnf(p7848,plain,
    ( ~ spl25
    | ~ spl14
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7843]) ).

cnf(sct863,plain,
    ( ~ spl25
    | ~ spl14
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7848]) ).

cnf(p7846,plain,
    ( ~ spl14
    | ~ spl3
    | sk11 = n3 ),
    inference(superposition,[status(thm)],[p7837,c154]) ).

cnf(p7852,plain,
    ( ~ spl26
    | ~ spl14
    | ~ spl3
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p7846,p192]) ).

cnf(p7857,plain,
    ( ~ spl26
    | ~ spl14
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7852]) ).

cnf(sct864,plain,
    ( ~ spl26
    | ~ spl14
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7857]) ).

cnf(p7855,plain,
    ( ~ spl14
    | ~ spl3
    | sk13 = n1 ),
    inference(superposition,[status(thm)],[p7846,c156]) ).

cnf(p7861,plain,
    ( ~ spl27
    | ~ spl14
    | ~ spl3
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p7855,p193]) ).

cnf(p7866,plain,
    ( ~ spl27
    | ~ spl14
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7861]) ).

cnf(sct865,plain,
    ( ~ spl27
    | ~ spl14
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7866]) ).

cnf(p7864,plain,
    ( ~ spl14
    | ~ spl3
    | sk15 = n4 ),
    inference(superposition,[status(thm)],[p7855,c158]) ).

cnf(p7870,plain,
    ( ~ spl28
    | ~ spl14
    | ~ spl3
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p7864,p194]) ).

cnf(p7875,plain,
    ( ~ spl28
    | ~ spl14
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7870]) ).

cnf(sct866,plain,
    ( ~ spl28
    | ~ spl14
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7875]) ).

cnf(p7873,plain,
    ( ~ spl14
    | ~ spl3
    | sk17 = n5 ),
    inference(superposition,[status(thm)],[p7864,c160]) ).

cnf(p7879,plain,
    ( ~ spl29
    | ~ spl14
    | ~ spl3
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p7873,p195]) ).

cnf(p7884,plain,
    ( ~ spl29
    | ~ spl14
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7879]) ).

cnf(sct867,plain,
    ( ~ spl29
    | ~ spl14
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7884]) ).

cnf(p7882,plain,
    ( ~ spl14
    | ~ spl3
    | sk19 = n9 ),
    inference(superposition,[status(thm)],[p7873,c162]) ).

cnf(p7888,plain,
    ( ~ spl30
    | ~ spl14
    | ~ spl3
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p7882,p196]) ).

cnf(p7893,plain,
    ( ~ spl30
    | ~ spl14
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7888]) ).

cnf(sct868,plain,
    ( ~ spl30
    | ~ spl14
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7893]) ).

cnf(p7891,plain,
    ( ~ spl14
    | ~ spl3
    | sk21 = n3 ),
    inference(superposition,[status(thm)],[p7882,c164]) ).

cnf(p7895,plain,
    ( ~ spl31
    | ~ spl14
    | ~ spl3
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p7891,p197]) ).

cnf(p7896,plain,
    ( ~ spl31
    | ~ spl14
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7895]) ).

cnf(sct869,plain,
    ( ~ spl31
    | ~ spl14
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7896]) ).

cnf(p7898,plain,
    ( ~ spl13
    | ~ spl3
    | sk3 = n10 ),
    inference(superposition,[status(thm)],[p158,p7208]) ).

cnf(p7902,plain,
    ( ~ spl22
    | ~ spl13
    | ~ spl3
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p7898,p188]) ).

cnf(p7907,plain,
    ( ~ spl22
    | ~ spl13
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7902]) ).

cnf(sct870,plain,
    ( ~ spl22
    | ~ spl13
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7907]) ).

cnf(p7905,plain,
    ( ~ spl13
    | ~ spl3
    | sk5 = n7 ),
    inference(superposition,[status(thm)],[p7898,c148]) ).

cnf(p7911,plain,
    ( ~ spl23
    | ~ spl13
    | ~ spl3
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p7905,p189]) ).

cnf(p7916,plain,
    ( ~ spl23
    | ~ spl13
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7911]) ).

cnf(sct871,plain,
    ( ~ spl23
    | ~ spl13
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7916]) ).

cnf(p7914,plain,
    ( ~ spl13
    | ~ spl3
    | sk7 = n6 ),
    inference(superposition,[status(thm)],[p7905,c150]) ).

cnf(p7920,plain,
    ( ~ spl24
    | ~ spl13
    | ~ spl3
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p7914,p190]) ).

cnf(p7925,plain,
    ( ~ spl24
    | ~ spl13
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7920]) ).

cnf(sct872,plain,
    ( ~ spl24
    | ~ spl13
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7925]) ).

cnf(p7923,plain,
    ( ~ spl13
    | ~ spl3
    | sk9 = n2 ),
    inference(superposition,[status(thm)],[p7914,c152]) ).

cnf(p7929,plain,
    ( ~ spl25
    | ~ spl13
    | ~ spl3
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p7923,p191]) ).

cnf(p7934,plain,
    ( ~ spl25
    | ~ spl13
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7929]) ).

cnf(sct873,plain,
    ( ~ spl25
    | ~ spl13
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7934]) ).

cnf(p7932,plain,
    ( ~ spl13
    | ~ spl3
    | sk11 = n8 ),
    inference(superposition,[status(thm)],[p7923,c154]) ).

cnf(p7938,plain,
    ( ~ spl26
    | ~ spl13
    | ~ spl3
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p7932,p192]) ).

cnf(p7943,plain,
    ( ~ spl26
    | ~ spl13
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7938]) ).

cnf(sct874,plain,
    ( ~ spl26
    | ~ spl13
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7943]) ).

cnf(p7941,plain,
    ( ~ spl13
    | ~ spl3
    | sk13 = n10 ),
    inference(superposition,[status(thm)],[p7932,c156]) ).

cnf(p7947,plain,
    ( ~ spl27
    | ~ spl13
    | ~ spl3
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p7941,p193]) ).

cnf(p7952,plain,
    ( ~ spl27
    | ~ spl13
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7947]) ).

cnf(sct875,plain,
    ( ~ spl27
    | ~ spl13
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7952]) ).

cnf(p7950,plain,
    ( ~ spl13
    | ~ spl3
    | sk15 = n7 ),
    inference(superposition,[status(thm)],[p7941,c158]) ).

cnf(p7956,plain,
    ( ~ spl28
    | ~ spl13
    | ~ spl3
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p7950,p194]) ).

cnf(p7961,plain,
    ( ~ spl28
    | ~ spl13
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7956]) ).

cnf(sct876,plain,
    ( ~ spl28
    | ~ spl13
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7961]) ).

cnf(p7959,plain,
    ( ~ spl13
    | ~ spl3
    | sk17 = n6 ),
    inference(superposition,[status(thm)],[p7950,c160]) ).

cnf(p7965,plain,
    ( ~ spl29
    | ~ spl13
    | ~ spl3
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p7959,p195]) ).

cnf(p7970,plain,
    ( ~ spl29
    | ~ spl13
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7965]) ).

cnf(sct877,plain,
    ( ~ spl29
    | ~ spl13
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7970]) ).

cnf(p7968,plain,
    ( ~ spl13
    | ~ spl3
    | sk19 = n2 ),
    inference(superposition,[status(thm)],[p7959,c162]) ).

cnf(p7974,plain,
    ( ~ spl30
    | ~ spl13
    | ~ spl3
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p7968,p196]) ).

cnf(p7979,plain,
    ( ~ spl30
    | ~ spl13
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7974]) ).

cnf(sct878,plain,
    ( ~ spl30
    | ~ spl13
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7979]) ).

cnf(p7977,plain,
    ( ~ spl13
    | ~ spl3
    | sk21 = n8 ),
    inference(superposition,[status(thm)],[p7968,c164]) ).

cnf(p7981,plain,
    ( ~ spl31
    | ~ spl13
    | ~ spl3
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p7977,p197]) ).

cnf(p7982,plain,
    ( ~ spl31
    | ~ spl13
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7981]) ).

cnf(sct879,plain,
    ( ~ spl31
    | ~ spl13
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7982]) ).

cnf(p7984,plain,
    ( ~ spl12
    | ~ spl3
    | sk3 = n8 ),
    inference(superposition,[status(thm)],[p157,p7208]) ).

cnf(p7988,plain,
    ( ~ spl22
    | ~ spl12
    | ~ spl3
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p7984,p188]) ).

cnf(p7993,plain,
    ( ~ spl22
    | ~ spl12
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7988]) ).

cnf(sct880,plain,
    ( ~ spl22
    | ~ spl12
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p7993]) ).

cnf(p7991,plain,
    ( ~ spl12
    | ~ spl3
    | sk5 = n10 ),
    inference(superposition,[status(thm)],[p7984,c148]) ).

cnf(p7997,plain,
    ( ~ spl23
    | ~ spl12
    | ~ spl3
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p7991,p189]) ).

cnf(p8002,plain,
    ( ~ spl23
    | ~ spl12
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p7997]) ).

cnf(sct881,plain,
    ( ~ spl23
    | ~ spl12
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8002]) ).

cnf(p8000,plain,
    ( ~ spl12
    | ~ spl3
    | sk7 = n7 ),
    inference(superposition,[status(thm)],[p7991,c150]) ).

cnf(p8006,plain,
    ( ~ spl24
    | ~ spl12
    | ~ spl3
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p8000,p190]) ).

cnf(p8011,plain,
    ( ~ spl24
    | ~ spl12
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p8006]) ).

cnf(sct882,plain,
    ( ~ spl24
    | ~ spl12
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8011]) ).

cnf(p8009,plain,
    ( ~ spl12
    | ~ spl3
    | sk9 = n6 ),
    inference(superposition,[status(thm)],[p8000,c152]) ).

cnf(p8015,plain,
    ( ~ spl25
    | ~ spl12
    | ~ spl3
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p8009,p191]) ).

cnf(p8020,plain,
    ( ~ spl25
    | ~ spl12
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p8015]) ).

cnf(sct883,plain,
    ( ~ spl25
    | ~ spl12
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8020]) ).

cnf(p8018,plain,
    ( ~ spl12
    | ~ spl3
    | sk11 = n2 ),
    inference(superposition,[status(thm)],[p8009,c154]) ).

cnf(p8024,plain,
    ( ~ spl26
    | ~ spl12
    | ~ spl3
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p8018,p192]) ).

cnf(p8029,plain,
    ( ~ spl26
    | ~ spl12
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p8024]) ).

cnf(sct884,plain,
    ( ~ spl26
    | ~ spl12
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8029]) ).

cnf(p8027,plain,
    ( ~ spl12
    | ~ spl3
    | sk13 = n8 ),
    inference(superposition,[status(thm)],[p8018,c156]) ).

cnf(p8033,plain,
    ( ~ spl27
    | ~ spl12
    | ~ spl3
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p8027,p193]) ).

cnf(p8038,plain,
    ( ~ spl27
    | ~ spl12
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p8033]) ).

cnf(sct885,plain,
    ( ~ spl27
    | ~ spl12
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8038]) ).

cnf(p8036,plain,
    ( ~ spl12
    | ~ spl3
    | sk15 = n10 ),
    inference(superposition,[status(thm)],[p8027,c158]) ).

cnf(p8042,plain,
    ( ~ spl28
    | ~ spl12
    | ~ spl3
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p8036,p194]) ).

cnf(p8047,plain,
    ( ~ spl28
    | ~ spl12
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p8042]) ).

cnf(sct886,plain,
    ( ~ spl28
    | ~ spl12
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8047]) ).

cnf(p8045,plain,
    ( ~ spl12
    | ~ spl3
    | sk17 = n7 ),
    inference(superposition,[status(thm)],[p8036,c160]) ).

cnf(p8051,plain,
    ( ~ spl29
    | ~ spl12
    | ~ spl3
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p8045,p195]) ).

cnf(p8056,plain,
    ( ~ spl29
    | ~ spl12
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p8051]) ).

cnf(sct887,plain,
    ( ~ spl29
    | ~ spl12
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8056]) ).

cnf(p8054,plain,
    ( ~ spl12
    | ~ spl3
    | sk19 = n6 ),
    inference(superposition,[status(thm)],[p8045,c162]) ).

cnf(p8060,plain,
    ( ~ spl30
    | ~ spl12
    | ~ spl3
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p8054,p196]) ).

cnf(p8065,plain,
    ( ~ spl30
    | ~ spl12
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p8060]) ).

cnf(sct888,plain,
    ( ~ spl30
    | ~ spl12
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8065]) ).

cnf(p8063,plain,
    ( ~ spl12
    | ~ spl3
    | sk21 = n2 ),
    inference(superposition,[status(thm)],[p8054,c164]) ).

cnf(p8067,plain,
    ( ~ spl31
    | ~ spl12
    | ~ spl3
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p8063,p197]) ).

cnf(p8068,plain,
    ( ~ spl31
    | ~ spl12
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p8067]) ).

cnf(sct889,plain,
    ( ~ spl31
    | ~ spl12
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8068]) ).

cnf(p8070,plain,
    ( ~ spl11
    | ~ spl3
    | sk3 = n6 ),
    inference(superposition,[status(thm)],[p156,p7208]) ).

cnf(p8074,plain,
    ( ~ spl22
    | ~ spl11
    | ~ spl3
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p8070,p188]) ).

cnf(p8079,plain,
    ( ~ spl22
    | ~ spl11
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p8074]) ).

cnf(sct890,plain,
    ( ~ spl22
    | ~ spl11
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8079]) ).

cnf(p8077,plain,
    ( ~ spl11
    | ~ spl3
    | sk5 = n2 ),
    inference(superposition,[status(thm)],[p8070,c148]) ).

cnf(p8083,plain,
    ( ~ spl23
    | ~ spl11
    | ~ spl3
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p8077,p189]) ).

cnf(p8088,plain,
    ( ~ spl23
    | ~ spl11
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p8083]) ).

cnf(sct891,plain,
    ( ~ spl23
    | ~ spl11
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8088]) ).

cnf(p8086,plain,
    ( ~ spl11
    | ~ spl3
    | sk7 = n8 ),
    inference(superposition,[status(thm)],[p8077,c150]) ).

cnf(p8092,plain,
    ( ~ spl24
    | ~ spl11
    | ~ spl3
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p8086,p190]) ).

cnf(p8097,plain,
    ( ~ spl24
    | ~ spl11
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p8092]) ).

cnf(sct892,plain,
    ( ~ spl24
    | ~ spl11
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8097]) ).

cnf(p8095,plain,
    ( ~ spl11
    | ~ spl3
    | sk9 = n10 ),
    inference(superposition,[status(thm)],[p8086,c152]) ).

cnf(p8101,plain,
    ( ~ spl25
    | ~ spl11
    | ~ spl3
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p8095,p191]) ).

cnf(p8106,plain,
    ( ~ spl25
    | ~ spl11
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p8101]) ).

cnf(sct893,plain,
    ( ~ spl25
    | ~ spl11
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8106]) ).

cnf(p8104,plain,
    ( ~ spl11
    | ~ spl3
    | sk11 = n7 ),
    inference(superposition,[status(thm)],[p8095,c154]) ).

cnf(p8110,plain,
    ( ~ spl26
    | ~ spl11
    | ~ spl3
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p8104,p192]) ).

cnf(p8115,plain,
    ( ~ spl26
    | ~ spl11
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p8110]) ).

cnf(sct894,plain,
    ( ~ spl26
    | ~ spl11
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8115]) ).

cnf(p8113,plain,
    ( ~ spl11
    | ~ spl3
    | sk13 = n6 ),
    inference(superposition,[status(thm)],[p8104,c156]) ).

cnf(p8119,plain,
    ( ~ spl27
    | ~ spl11
    | ~ spl3
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p8113,p193]) ).

cnf(p8124,plain,
    ( ~ spl27
    | ~ spl11
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p8119]) ).

cnf(sct895,plain,
    ( ~ spl27
    | ~ spl11
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8124]) ).

cnf(p8122,plain,
    ( ~ spl11
    | ~ spl3
    | sk15 = n2 ),
    inference(superposition,[status(thm)],[p8113,c158]) ).

cnf(p8128,plain,
    ( ~ spl28
    | ~ spl11
    | ~ spl3
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p8122,p194]) ).

cnf(p8133,plain,
    ( ~ spl28
    | ~ spl11
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p8128]) ).

cnf(sct896,plain,
    ( ~ spl28
    | ~ spl11
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8133]) ).

cnf(p8131,plain,
    ( ~ spl11
    | ~ spl3
    | sk17 = n8 ),
    inference(superposition,[status(thm)],[p8122,c160]) ).

cnf(p8137,plain,
    ( ~ spl29
    | ~ spl11
    | ~ spl3
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p8131,p195]) ).

cnf(p8142,plain,
    ( ~ spl29
    | ~ spl11
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p8137]) ).

cnf(sct897,plain,
    ( ~ spl29
    | ~ spl11
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8142]) ).

cnf(p8140,plain,
    ( ~ spl11
    | ~ spl3
    | sk19 = n10 ),
    inference(superposition,[status(thm)],[p8131,c162]) ).

cnf(p8146,plain,
    ( ~ spl30
    | ~ spl11
    | ~ spl3
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p8140,p196]) ).

cnf(p8151,plain,
    ( ~ spl30
    | ~ spl11
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p8146]) ).

cnf(sct898,plain,
    ( ~ spl30
    | ~ spl11
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8151]) ).

cnf(p8149,plain,
    ( ~ spl11
    | ~ spl3
    | sk21 = n7 ),
    inference(superposition,[status(thm)],[p8140,c164]) ).

cnf(p8153,plain,
    ( ~ spl31
    | ~ spl11
    | ~ spl3
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p8149,p197]) ).

cnf(p8154,plain,
    ( ~ spl31
    | ~ spl11
    | ~ spl3
    | $false ),
    inference(equality_resolution,[status(thm)],[p8153]) ).

cnf(sct899,plain,
    ( ~ spl31
    | ~ spl11
    | ~ spl3 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8154]) ).

cnf(p8157,plain,
    ( ~ spl20
    | ~ spl2
    | sk3 = n0 ),
    inference(superposition,[status(thm)],[p146,p585]) ).

cnf(p8159,plain,
    ( ~ spl22
    | ~ spl20
    | ~ spl2
    | sk2 != n0 ),
    inference(superposition,[status(thm)],[p8157,p188]) ).

cnf(p8158,plain,
    ( ~ spl20
    | ~ spl2
    | sk2 = n0 ),
    inference(superposition,[status(thm)],[p146,p582]) ).

cnf(p8167,plain,
    ( ~ spl22
    | ~ spl20
    | ~ spl2
    | $false ),
    inference(resolution,[status(thm)],[p8159,p8158]) ).

cnf(sct900,plain,
    ( ~ spl22
    | ~ spl20
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8167]) ).

cnf(p8165,plain,
    ( ~ spl20
    | ~ spl2
    | sk5 = n0 ),
    inference(superposition,[status(thm)],[p8158,c148]) ).

cnf(p8171,plain,
    ( ~ spl23
    | ~ spl20
    | ~ spl2
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p8165,p189]) ).

cnf(p8176,plain,
    ( ~ spl23
    | ~ spl20
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8171]) ).

cnf(sct901,plain,
    ( ~ spl23
    | ~ spl20
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8176]) ).

cnf(p8174,plain,
    ( ~ spl20
    | ~ spl2
    | sk7 = n0 ),
    inference(superposition,[status(thm)],[p8165,c150]) ).

cnf(p8180,plain,
    ( ~ spl24
    | ~ spl20
    | ~ spl2
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p8174,p190]) ).

cnf(p8185,plain,
    ( ~ spl24
    | ~ spl20
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8180]) ).

cnf(sct902,plain,
    ( ~ spl24
    | ~ spl20
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8185]) ).

cnf(p8183,plain,
    ( ~ spl20
    | ~ spl2
    | sk9 = n0 ),
    inference(superposition,[status(thm)],[p8174,c152]) ).

cnf(p8189,plain,
    ( ~ spl25
    | ~ spl20
    | ~ spl2
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p8183,p191]) ).

cnf(p8194,plain,
    ( ~ spl25
    | ~ spl20
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8189]) ).

cnf(sct903,plain,
    ( ~ spl25
    | ~ spl20
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8194]) ).

cnf(p8192,plain,
    ( ~ spl20
    | ~ spl2
    | sk11 = n0 ),
    inference(superposition,[status(thm)],[p8183,c154]) ).

cnf(p8198,plain,
    ( ~ spl26
    | ~ spl20
    | ~ spl2
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p8192,p192]) ).

cnf(p8203,plain,
    ( ~ spl26
    | ~ spl20
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8198]) ).

cnf(sct904,plain,
    ( ~ spl26
    | ~ spl20
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8203]) ).

cnf(p8201,plain,
    ( ~ spl20
    | ~ spl2
    | sk13 = n0 ),
    inference(superposition,[status(thm)],[p8192,c156]) ).

cnf(p8207,plain,
    ( ~ spl27
    | ~ spl20
    | ~ spl2
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p8201,p193]) ).

cnf(p8212,plain,
    ( ~ spl27
    | ~ spl20
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8207]) ).

cnf(sct905,plain,
    ( ~ spl27
    | ~ spl20
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8212]) ).

cnf(p8210,plain,
    ( ~ spl20
    | ~ spl2
    | sk15 = n0 ),
    inference(superposition,[status(thm)],[p8201,c158]) ).

cnf(p8216,plain,
    ( ~ spl28
    | ~ spl20
    | ~ spl2
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p8210,p194]) ).

cnf(p8221,plain,
    ( ~ spl28
    | ~ spl20
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8216]) ).

cnf(sct906,plain,
    ( ~ spl28
    | ~ spl20
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8221]) ).

cnf(p8219,plain,
    ( ~ spl20
    | ~ spl2
    | sk17 = n0 ),
    inference(superposition,[status(thm)],[p8210,c160]) ).

cnf(p8225,plain,
    ( ~ spl29
    | ~ spl20
    | ~ spl2
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p8219,p195]) ).

cnf(p8230,plain,
    ( ~ spl29
    | ~ spl20
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8225]) ).

cnf(sct907,plain,
    ( ~ spl29
    | ~ spl20
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8230]) ).

cnf(p8228,plain,
    ( ~ spl20
    | ~ spl2
    | sk19 = n0 ),
    inference(superposition,[status(thm)],[p8219,c162]) ).

cnf(p8234,plain,
    ( ~ spl30
    | ~ spl20
    | ~ spl2
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p8228,p196]) ).

cnf(p8239,plain,
    ( ~ spl30
    | ~ spl20
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8234]) ).

cnf(sct908,plain,
    ( ~ spl30
    | ~ spl20
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8239]) ).

cnf(p8237,plain,
    ( ~ spl20
    | ~ spl2
    | sk21 = n0 ),
    inference(superposition,[status(thm)],[p8228,c164]) ).

cnf(p8241,plain,
    ( ~ spl31
    | ~ spl20
    | ~ spl2
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p8237,p197]) ).

cnf(p8242,plain,
    ( ~ spl31
    | ~ spl20
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8241]) ).

cnf(sct909,plain,
    ( ~ spl31
    | ~ spl20
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8242]) ).

cnf(p8156,plain,
    ( ~ spl2
    | sk3 = sum(n4,sum(pred(sk1),succ(sk1))) ),
    inference(superposition,[status(thm)],[p146,c146]) ).

cnf(p8244,plain,
    ( ~ spl21
    | ~ spl2
    | sk3 = n2 ),
    inference(superposition,[status(thm)],[p166,p8156]) ).

cnf(p8248,plain,
    ( ~ spl22
    | ~ spl21
    | ~ spl2
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p8244,p188]) ).

cnf(p8253,plain,
    ( ~ spl22
    | ~ spl21
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8248]) ).

cnf(sct910,plain,
    ( ~ spl22
    | ~ spl21
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8253]) ).

cnf(p8251,plain,
    ( ~ spl21
    | ~ spl2
    | sk5 = n8 ),
    inference(superposition,[status(thm)],[p8244,c148]) ).

cnf(p8257,plain,
    ( ~ spl23
    | ~ spl21
    | ~ spl2
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p8251,p189]) ).

cnf(p8262,plain,
    ( ~ spl23
    | ~ spl21
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8257]) ).

cnf(sct911,plain,
    ( ~ spl23
    | ~ spl21
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8262]) ).

cnf(p8260,plain,
    ( ~ spl21
    | ~ spl2
    | sk7 = n10 ),
    inference(superposition,[status(thm)],[p8251,c150]) ).

cnf(p8266,plain,
    ( ~ spl24
    | ~ spl21
    | ~ spl2
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p8260,p190]) ).

cnf(p8271,plain,
    ( ~ spl24
    | ~ spl21
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8266]) ).

cnf(sct912,plain,
    ( ~ spl24
    | ~ spl21
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8271]) ).

cnf(p8269,plain,
    ( ~ spl21
    | ~ spl2
    | sk9 = n7 ),
    inference(superposition,[status(thm)],[p8260,c152]) ).

cnf(p8275,plain,
    ( ~ spl25
    | ~ spl21
    | ~ spl2
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p8269,p191]) ).

cnf(p8280,plain,
    ( ~ spl25
    | ~ spl21
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8275]) ).

cnf(sct913,plain,
    ( ~ spl25
    | ~ spl21
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8280]) ).

cnf(p8278,plain,
    ( ~ spl21
    | ~ spl2
    | sk11 = n6 ),
    inference(superposition,[status(thm)],[p8269,c154]) ).

cnf(p8284,plain,
    ( ~ spl26
    | ~ spl21
    | ~ spl2
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p8278,p192]) ).

cnf(p8289,plain,
    ( ~ spl26
    | ~ spl21
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8284]) ).

cnf(sct914,plain,
    ( ~ spl26
    | ~ spl21
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8289]) ).

cnf(p8287,plain,
    ( ~ spl21
    | ~ spl2
    | sk13 = n2 ),
    inference(superposition,[status(thm)],[p8278,c156]) ).

cnf(p8293,plain,
    ( ~ spl27
    | ~ spl21
    | ~ spl2
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p8287,p193]) ).

cnf(p8298,plain,
    ( ~ spl27
    | ~ spl21
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8293]) ).

cnf(sct915,plain,
    ( ~ spl27
    | ~ spl21
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8298]) ).

cnf(p8296,plain,
    ( ~ spl21
    | ~ spl2
    | sk15 = n8 ),
    inference(superposition,[status(thm)],[p8287,c158]) ).

cnf(p8302,plain,
    ( ~ spl28
    | ~ spl21
    | ~ spl2
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p8296,p194]) ).

cnf(p8307,plain,
    ( ~ spl28
    | ~ spl21
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8302]) ).

cnf(sct916,plain,
    ( ~ spl28
    | ~ spl21
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8307]) ).

cnf(p8305,plain,
    ( ~ spl21
    | ~ spl2
    | sk17 = n10 ),
    inference(superposition,[status(thm)],[p8296,c160]) ).

cnf(p8311,plain,
    ( ~ spl29
    | ~ spl21
    | ~ spl2
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p8305,p195]) ).

cnf(p8316,plain,
    ( ~ spl29
    | ~ spl21
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8311]) ).

cnf(sct917,plain,
    ( ~ spl29
    | ~ spl21
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8316]) ).

cnf(p8314,plain,
    ( ~ spl21
    | ~ spl2
    | sk19 = n7 ),
    inference(superposition,[status(thm)],[p8305,c162]) ).

cnf(p8320,plain,
    ( ~ spl30
    | ~ spl21
    | ~ spl2
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p8314,p196]) ).

cnf(p8325,plain,
    ( ~ spl30
    | ~ spl21
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8320]) ).

cnf(sct918,plain,
    ( ~ spl30
    | ~ spl21
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8325]) ).

cnf(p8323,plain,
    ( ~ spl21
    | ~ spl2
    | sk21 = n6 ),
    inference(superposition,[status(thm)],[p8314,c164]) ).

cnf(p8327,plain,
    ( ~ spl31
    | ~ spl21
    | ~ spl2
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p8323,p197]) ).

cnf(p8328,plain,
    ( ~ spl31
    | ~ spl21
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8327]) ).

cnf(sct919,plain,
    ( ~ spl31
    | ~ spl21
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8328]) ).

cnf(p8330,plain,
    ( ~ spl19
    | ~ spl2
    | sk3 = n9 ),
    inference(superposition,[status(thm)],[p164,p8156]) ).

cnf(p8334,plain,
    ( ~ spl22
    | ~ spl19
    | ~ spl2
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p8330,p188]) ).

cnf(p8339,plain,
    ( ~ spl22
    | ~ spl19
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8334]) ).

cnf(sct920,plain,
    ( ~ spl22
    | ~ spl19
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8339]) ).

cnf(p8337,plain,
    ( ~ spl19
    | ~ spl2
    | sk5 = n3 ),
    inference(superposition,[status(thm)],[p8330,c148]) ).

cnf(p8343,plain,
    ( ~ spl23
    | ~ spl19
    | ~ spl2
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p8337,p189]) ).

cnf(p8348,plain,
    ( ~ spl23
    | ~ spl19
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8343]) ).

cnf(sct921,plain,
    ( ~ spl23
    | ~ spl19
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8348]) ).

cnf(p8346,plain,
    ( ~ spl19
    | ~ spl2
    | sk7 = n1 ),
    inference(superposition,[status(thm)],[p8337,c150]) ).

cnf(p8352,plain,
    ( ~ spl24
    | ~ spl19
    | ~ spl2
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p8346,p190]) ).

cnf(p8357,plain,
    ( ~ spl24
    | ~ spl19
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8352]) ).

cnf(sct922,plain,
    ( ~ spl24
    | ~ spl19
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8357]) ).

cnf(p8355,plain,
    ( ~ spl19
    | ~ spl2
    | sk9 = n4 ),
    inference(superposition,[status(thm)],[p8346,c152]) ).

cnf(p8361,plain,
    ( ~ spl25
    | ~ spl19
    | ~ spl2
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p8355,p191]) ).

cnf(p8366,plain,
    ( ~ spl25
    | ~ spl19
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8361]) ).

cnf(sct923,plain,
    ( ~ spl25
    | ~ spl19
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8366]) ).

cnf(p8364,plain,
    ( ~ spl19
    | ~ spl2
    | sk11 = n5 ),
    inference(superposition,[status(thm)],[p8355,c154]) ).

cnf(p8370,plain,
    ( ~ spl26
    | ~ spl19
    | ~ spl2
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p8364,p192]) ).

cnf(p8375,plain,
    ( ~ spl26
    | ~ spl19
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8370]) ).

cnf(sct924,plain,
    ( ~ spl26
    | ~ spl19
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8375]) ).

cnf(p8373,plain,
    ( ~ spl19
    | ~ spl2
    | sk13 = n9 ),
    inference(superposition,[status(thm)],[p8364,c156]) ).

cnf(p8379,plain,
    ( ~ spl27
    | ~ spl19
    | ~ spl2
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p8373,p193]) ).

cnf(p8384,plain,
    ( ~ spl27
    | ~ spl19
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8379]) ).

cnf(sct925,plain,
    ( ~ spl27
    | ~ spl19
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8384]) ).

cnf(p8382,plain,
    ( ~ spl19
    | ~ spl2
    | sk15 = n3 ),
    inference(superposition,[status(thm)],[p8373,c158]) ).

cnf(p8388,plain,
    ( ~ spl28
    | ~ spl19
    | ~ spl2
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p8382,p194]) ).

cnf(p8393,plain,
    ( ~ spl28
    | ~ spl19
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8388]) ).

cnf(sct926,plain,
    ( ~ spl28
    | ~ spl19
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8393]) ).

cnf(p8391,plain,
    ( ~ spl19
    | ~ spl2
    | sk17 = n1 ),
    inference(superposition,[status(thm)],[p8382,c160]) ).

cnf(p8397,plain,
    ( ~ spl29
    | ~ spl19
    | ~ spl2
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p8391,p195]) ).

cnf(p8402,plain,
    ( ~ spl29
    | ~ spl19
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8397]) ).

cnf(sct927,plain,
    ( ~ spl29
    | ~ spl19
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8402]) ).

cnf(p8400,plain,
    ( ~ spl19
    | ~ spl2
    | sk19 = n4 ),
    inference(superposition,[status(thm)],[p8391,c162]) ).

cnf(p8406,plain,
    ( ~ spl30
    | ~ spl19
    | ~ spl2
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p8400,p196]) ).

cnf(p8411,plain,
    ( ~ spl30
    | ~ spl19
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8406]) ).

cnf(sct928,plain,
    ( ~ spl30
    | ~ spl19
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8411]) ).

cnf(p8409,plain,
    ( ~ spl19
    | ~ spl2
    | sk21 = n5 ),
    inference(superposition,[status(thm)],[p8400,c164]) ).

cnf(p8413,plain,
    ( ~ spl31
    | ~ spl19
    | ~ spl2
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p8409,p197]) ).

cnf(p8414,plain,
    ( ~ spl31
    | ~ spl19
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8413]) ).

cnf(sct929,plain,
    ( ~ spl31
    | ~ spl19
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8414]) ).

cnf(p8416,plain,
    ( ~ spl18
    | ~ spl2
    | sk3 = n7 ),
    inference(superposition,[status(thm)],[p163,p8156]) ).

cnf(p8420,plain,
    ( ~ spl22
    | ~ spl18
    | ~ spl2
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p8416,p188]) ).

cnf(p8425,plain,
    ( ~ spl22
    | ~ spl18
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8420]) ).

cnf(sct930,plain,
    ( ~ spl22
    | ~ spl18
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8425]) ).

cnf(p8423,plain,
    ( ~ spl18
    | ~ spl2
    | sk5 = n6 ),
    inference(superposition,[status(thm)],[p8416,c148]) ).

cnf(p8429,plain,
    ( ~ spl23
    | ~ spl18
    | ~ spl2
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p8423,p189]) ).

cnf(p8434,plain,
    ( ~ spl23
    | ~ spl18
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8429]) ).

cnf(sct931,plain,
    ( ~ spl23
    | ~ spl18
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8434]) ).

cnf(p8432,plain,
    ( ~ spl18
    | ~ spl2
    | sk7 = n2 ),
    inference(superposition,[status(thm)],[p8423,c150]) ).

cnf(p8438,plain,
    ( ~ spl24
    | ~ spl18
    | ~ spl2
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p8432,p190]) ).

cnf(p8443,plain,
    ( ~ spl24
    | ~ spl18
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8438]) ).

cnf(sct932,plain,
    ( ~ spl24
    | ~ spl18
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8443]) ).

cnf(p8441,plain,
    ( ~ spl18
    | ~ spl2
    | sk9 = n8 ),
    inference(superposition,[status(thm)],[p8432,c152]) ).

cnf(p8447,plain,
    ( ~ spl25
    | ~ spl18
    | ~ spl2
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p8441,p191]) ).

cnf(p8452,plain,
    ( ~ spl25
    | ~ spl18
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8447]) ).

cnf(sct933,plain,
    ( ~ spl25
    | ~ spl18
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8452]) ).

cnf(p8450,plain,
    ( ~ spl18
    | ~ spl2
    | sk11 = n10 ),
    inference(superposition,[status(thm)],[p8441,c154]) ).

cnf(p8456,plain,
    ( ~ spl26
    | ~ spl18
    | ~ spl2
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p8450,p192]) ).

cnf(p8461,plain,
    ( ~ spl26
    | ~ spl18
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8456]) ).

cnf(sct934,plain,
    ( ~ spl26
    | ~ spl18
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8461]) ).

cnf(p8459,plain,
    ( ~ spl18
    | ~ spl2
    | sk13 = n7 ),
    inference(superposition,[status(thm)],[p8450,c156]) ).

cnf(p8465,plain,
    ( ~ spl27
    | ~ spl18
    | ~ spl2
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p8459,p193]) ).

cnf(p8470,plain,
    ( ~ spl27
    | ~ spl18
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8465]) ).

cnf(sct935,plain,
    ( ~ spl27
    | ~ spl18
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8470]) ).

cnf(p8468,plain,
    ( ~ spl18
    | ~ spl2
    | sk15 = n6 ),
    inference(superposition,[status(thm)],[p8459,c158]) ).

cnf(p8474,plain,
    ( ~ spl28
    | ~ spl18
    | ~ spl2
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p8468,p194]) ).

cnf(p8479,plain,
    ( ~ spl28
    | ~ spl18
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8474]) ).

cnf(sct936,plain,
    ( ~ spl28
    | ~ spl18
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8479]) ).

cnf(p8477,plain,
    ( ~ spl18
    | ~ spl2
    | sk17 = n2 ),
    inference(superposition,[status(thm)],[p8468,c160]) ).

cnf(p8483,plain,
    ( ~ spl29
    | ~ spl18
    | ~ spl2
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p8477,p195]) ).

cnf(p8488,plain,
    ( ~ spl29
    | ~ spl18
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8483]) ).

cnf(sct937,plain,
    ( ~ spl29
    | ~ spl18
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8488]) ).

cnf(p8486,plain,
    ( ~ spl18
    | ~ spl2
    | sk19 = n8 ),
    inference(superposition,[status(thm)],[p8477,c162]) ).

cnf(p8492,plain,
    ( ~ spl30
    | ~ spl18
    | ~ spl2
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p8486,p196]) ).

cnf(p8497,plain,
    ( ~ spl30
    | ~ spl18
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8492]) ).

cnf(sct938,plain,
    ( ~ spl30
    | ~ spl18
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8497]) ).

cnf(p8495,plain,
    ( ~ spl18
    | ~ spl2
    | sk21 = n10 ),
    inference(superposition,[status(thm)],[p8486,c164]) ).

cnf(p8499,plain,
    ( ~ spl31
    | ~ spl18
    | ~ spl2
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p8495,p197]) ).

cnf(p8500,plain,
    ( ~ spl31
    | ~ spl18
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8499]) ).

cnf(sct939,plain,
    ( ~ spl31
    | ~ spl18
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8500]) ).

cnf(p8502,plain,
    ( ~ spl17
    | ~ spl2
    | sk3 = n5 ),
    inference(superposition,[status(thm)],[p162,p8156]) ).

cnf(p8506,plain,
    ( ~ spl22
    | ~ spl17
    | ~ spl2
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p8502,p188]) ).

cnf(p8511,plain,
    ( ~ spl22
    | ~ spl17
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8506]) ).

cnf(sct940,plain,
    ( ~ spl22
    | ~ spl17
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8511]) ).

cnf(p8509,plain,
    ( ~ spl17
    | ~ spl2
    | sk5 = n9 ),
    inference(superposition,[status(thm)],[p8502,c148]) ).

cnf(p8515,plain,
    ( ~ spl23
    | ~ spl17
    | ~ spl2
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p8509,p189]) ).

cnf(p8520,plain,
    ( ~ spl23
    | ~ spl17
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8515]) ).

cnf(sct941,plain,
    ( ~ spl23
    | ~ spl17
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8520]) ).

cnf(p8518,plain,
    ( ~ spl17
    | ~ spl2
    | sk7 = n3 ),
    inference(superposition,[status(thm)],[p8509,c150]) ).

cnf(p8524,plain,
    ( ~ spl24
    | ~ spl17
    | ~ spl2
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p8518,p190]) ).

cnf(p8529,plain,
    ( ~ spl24
    | ~ spl17
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8524]) ).

cnf(sct942,plain,
    ( ~ spl24
    | ~ spl17
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8529]) ).

cnf(p8527,plain,
    ( ~ spl17
    | ~ spl2
    | sk9 = n1 ),
    inference(superposition,[status(thm)],[p8518,c152]) ).

cnf(p8533,plain,
    ( ~ spl25
    | ~ spl17
    | ~ spl2
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p8527,p191]) ).

cnf(p8538,plain,
    ( ~ spl25
    | ~ spl17
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8533]) ).

cnf(sct943,plain,
    ( ~ spl25
    | ~ spl17
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8538]) ).

cnf(p8536,plain,
    ( ~ spl17
    | ~ spl2
    | sk11 = n4 ),
    inference(superposition,[status(thm)],[p8527,c154]) ).

cnf(p8542,plain,
    ( ~ spl26
    | ~ spl17
    | ~ spl2
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p8536,p192]) ).

cnf(p8547,plain,
    ( ~ spl26
    | ~ spl17
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8542]) ).

cnf(sct944,plain,
    ( ~ spl26
    | ~ spl17
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8547]) ).

cnf(p8545,plain,
    ( ~ spl17
    | ~ spl2
    | sk13 = n5 ),
    inference(superposition,[status(thm)],[p8536,c156]) ).

cnf(p8551,plain,
    ( ~ spl27
    | ~ spl17
    | ~ spl2
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p8545,p193]) ).

cnf(p8556,plain,
    ( ~ spl27
    | ~ spl17
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8551]) ).

cnf(sct945,plain,
    ( ~ spl27
    | ~ spl17
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8556]) ).

cnf(p8554,plain,
    ( ~ spl17
    | ~ spl2
    | sk15 = n9 ),
    inference(superposition,[status(thm)],[p8545,c158]) ).

cnf(p8560,plain,
    ( ~ spl28
    | ~ spl17
    | ~ spl2
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p8554,p194]) ).

cnf(p8565,plain,
    ( ~ spl28
    | ~ spl17
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8560]) ).

cnf(sct946,plain,
    ( ~ spl28
    | ~ spl17
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8565]) ).

cnf(p8563,plain,
    ( ~ spl17
    | ~ spl2
    | sk17 = n3 ),
    inference(superposition,[status(thm)],[p8554,c160]) ).

cnf(p8569,plain,
    ( ~ spl29
    | ~ spl17
    | ~ spl2
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p8563,p195]) ).

cnf(p8574,plain,
    ( ~ spl29
    | ~ spl17
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8569]) ).

cnf(sct947,plain,
    ( ~ spl29
    | ~ spl17
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8574]) ).

cnf(p8572,plain,
    ( ~ spl17
    | ~ spl2
    | sk19 = n1 ),
    inference(superposition,[status(thm)],[p8563,c162]) ).

cnf(p8578,plain,
    ( ~ spl30
    | ~ spl17
    | ~ spl2
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p8572,p196]) ).

cnf(p8583,plain,
    ( ~ spl30
    | ~ spl17
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8578]) ).

cnf(sct948,plain,
    ( ~ spl30
    | ~ spl17
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8583]) ).

cnf(p8581,plain,
    ( ~ spl17
    | ~ spl2
    | sk21 = n4 ),
    inference(superposition,[status(thm)],[p8572,c164]) ).

cnf(p8585,plain,
    ( ~ spl31
    | ~ spl17
    | ~ spl2
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p8581,p197]) ).

cnf(p8586,plain,
    ( ~ spl31
    | ~ spl17
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8585]) ).

cnf(sct949,plain,
    ( ~ spl31
    | ~ spl17
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8586]) ).

cnf(p8588,plain,
    ( ~ spl16
    | ~ spl2
    | sk3 = n3 ),
    inference(superposition,[status(thm)],[p161,p8156]) ).

cnf(p8592,plain,
    ( ~ spl22
    | ~ spl16
    | ~ spl2
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p8588,p188]) ).

cnf(p8597,plain,
    ( ~ spl22
    | ~ spl16
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8592]) ).

cnf(sct950,plain,
    ( ~ spl22
    | ~ spl16
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8597]) ).

cnf(p8595,plain,
    ( ~ spl16
    | ~ spl2
    | sk5 = n1 ),
    inference(superposition,[status(thm)],[p8588,c148]) ).

cnf(p8601,plain,
    ( ~ spl23
    | ~ spl16
    | ~ spl2
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p8595,p189]) ).

cnf(p8606,plain,
    ( ~ spl23
    | ~ spl16
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8601]) ).

cnf(sct951,plain,
    ( ~ spl23
    | ~ spl16
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8606]) ).

cnf(p8604,plain,
    ( ~ spl16
    | ~ spl2
    | sk7 = n4 ),
    inference(superposition,[status(thm)],[p8595,c150]) ).

cnf(p8610,plain,
    ( ~ spl24
    | ~ spl16
    | ~ spl2
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p8604,p190]) ).

cnf(p8615,plain,
    ( ~ spl24
    | ~ spl16
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8610]) ).

cnf(sct952,plain,
    ( ~ spl24
    | ~ spl16
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8615]) ).

cnf(p8613,plain,
    ( ~ spl16
    | ~ spl2
    | sk9 = n5 ),
    inference(superposition,[status(thm)],[p8604,c152]) ).

cnf(p8619,plain,
    ( ~ spl25
    | ~ spl16
    | ~ spl2
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p8613,p191]) ).

cnf(p8624,plain,
    ( ~ spl25
    | ~ spl16
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8619]) ).

cnf(sct953,plain,
    ( ~ spl25
    | ~ spl16
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8624]) ).

cnf(p8622,plain,
    ( ~ spl16
    | ~ spl2
    | sk11 = n9 ),
    inference(superposition,[status(thm)],[p8613,c154]) ).

cnf(p8628,plain,
    ( ~ spl26
    | ~ spl16
    | ~ spl2
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p8622,p192]) ).

cnf(p8633,plain,
    ( ~ spl26
    | ~ spl16
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8628]) ).

cnf(sct954,plain,
    ( ~ spl26
    | ~ spl16
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8633]) ).

cnf(p8631,plain,
    ( ~ spl16
    | ~ spl2
    | sk13 = n3 ),
    inference(superposition,[status(thm)],[p8622,c156]) ).

cnf(p8637,plain,
    ( ~ spl27
    | ~ spl16
    | ~ spl2
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p8631,p193]) ).

cnf(p8642,plain,
    ( ~ spl27
    | ~ spl16
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8637]) ).

cnf(sct955,plain,
    ( ~ spl27
    | ~ spl16
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8642]) ).

cnf(p8640,plain,
    ( ~ spl16
    | ~ spl2
    | sk15 = n1 ),
    inference(superposition,[status(thm)],[p8631,c158]) ).

cnf(p8646,plain,
    ( ~ spl28
    | ~ spl16
    | ~ spl2
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p8640,p194]) ).

cnf(p8651,plain,
    ( ~ spl28
    | ~ spl16
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8646]) ).

cnf(sct956,plain,
    ( ~ spl28
    | ~ spl16
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8651]) ).

cnf(p8649,plain,
    ( ~ spl16
    | ~ spl2
    | sk17 = n4 ),
    inference(superposition,[status(thm)],[p8640,c160]) ).

cnf(p8655,plain,
    ( ~ spl29
    | ~ spl16
    | ~ spl2
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p8649,p195]) ).

cnf(p8660,plain,
    ( ~ spl29
    | ~ spl16
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8655]) ).

cnf(sct957,plain,
    ( ~ spl29
    | ~ spl16
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8660]) ).

cnf(p8658,plain,
    ( ~ spl16
    | ~ spl2
    | sk19 = n5 ),
    inference(superposition,[status(thm)],[p8649,c162]) ).

cnf(p8664,plain,
    ( ~ spl30
    | ~ spl16
    | ~ spl2
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p8658,p196]) ).

cnf(p8669,plain,
    ( ~ spl30
    | ~ spl16
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8664]) ).

cnf(sct958,plain,
    ( ~ spl30
    | ~ spl16
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8669]) ).

cnf(p8667,plain,
    ( ~ spl16
    | ~ spl2
    | sk21 = n9 ),
    inference(superposition,[status(thm)],[p8658,c164]) ).

cnf(p8671,plain,
    ( ~ spl31
    | ~ spl16
    | ~ spl2
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p8667,p197]) ).

cnf(p8672,plain,
    ( ~ spl31
    | ~ spl16
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8671]) ).

cnf(sct959,plain,
    ( ~ spl31
    | ~ spl16
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8672]) ).

cnf(p8674,plain,
    ( ~ spl15
    | ~ spl2
    | sk3 = n1 ),
    inference(superposition,[status(thm)],[p160,p8156]) ).

cnf(p8678,plain,
    ( ~ spl22
    | ~ spl15
    | ~ spl2
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p8674,p188]) ).

cnf(p8683,plain,
    ( ~ spl22
    | ~ spl15
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8678]) ).

cnf(sct960,plain,
    ( ~ spl22
    | ~ spl15
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8683]) ).

cnf(p8681,plain,
    ( ~ spl15
    | ~ spl2
    | sk5 = n4 ),
    inference(superposition,[status(thm)],[p8674,c148]) ).

cnf(p8687,plain,
    ( ~ spl23
    | ~ spl15
    | ~ spl2
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p8681,p189]) ).

cnf(p8692,plain,
    ( ~ spl23
    | ~ spl15
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8687]) ).

cnf(sct961,plain,
    ( ~ spl23
    | ~ spl15
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8692]) ).

cnf(p8690,plain,
    ( ~ spl15
    | ~ spl2
    | sk7 = n5 ),
    inference(superposition,[status(thm)],[p8681,c150]) ).

cnf(p8696,plain,
    ( ~ spl24
    | ~ spl15
    | ~ spl2
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p8690,p190]) ).

cnf(p8701,plain,
    ( ~ spl24
    | ~ spl15
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8696]) ).

cnf(sct962,plain,
    ( ~ spl24
    | ~ spl15
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8701]) ).

cnf(p8699,plain,
    ( ~ spl15
    | ~ spl2
    | sk9 = n9 ),
    inference(superposition,[status(thm)],[p8690,c152]) ).

cnf(p8705,plain,
    ( ~ spl25
    | ~ spl15
    | ~ spl2
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p8699,p191]) ).

cnf(p8710,plain,
    ( ~ spl25
    | ~ spl15
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8705]) ).

cnf(sct963,plain,
    ( ~ spl25
    | ~ spl15
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8710]) ).

cnf(p8708,plain,
    ( ~ spl15
    | ~ spl2
    | sk11 = n3 ),
    inference(superposition,[status(thm)],[p8699,c154]) ).

cnf(p8714,plain,
    ( ~ spl26
    | ~ spl15
    | ~ spl2
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p8708,p192]) ).

cnf(p8719,plain,
    ( ~ spl26
    | ~ spl15
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8714]) ).

cnf(sct964,plain,
    ( ~ spl26
    | ~ spl15
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8719]) ).

cnf(p8717,plain,
    ( ~ spl15
    | ~ spl2
    | sk13 = n1 ),
    inference(superposition,[status(thm)],[p8708,c156]) ).

cnf(p8723,plain,
    ( ~ spl27
    | ~ spl15
    | ~ spl2
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p8717,p193]) ).

cnf(p8728,plain,
    ( ~ spl27
    | ~ spl15
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8723]) ).

cnf(sct965,plain,
    ( ~ spl27
    | ~ spl15
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8728]) ).

cnf(p8726,plain,
    ( ~ spl15
    | ~ spl2
    | sk15 = n4 ),
    inference(superposition,[status(thm)],[p8717,c158]) ).

cnf(p8732,plain,
    ( ~ spl28
    | ~ spl15
    | ~ spl2
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p8726,p194]) ).

cnf(p8737,plain,
    ( ~ spl28
    | ~ spl15
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8732]) ).

cnf(sct966,plain,
    ( ~ spl28
    | ~ spl15
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8737]) ).

cnf(p8735,plain,
    ( ~ spl15
    | ~ spl2
    | sk17 = n5 ),
    inference(superposition,[status(thm)],[p8726,c160]) ).

cnf(p8741,plain,
    ( ~ spl29
    | ~ spl15
    | ~ spl2
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p8735,p195]) ).

cnf(p8746,plain,
    ( ~ spl29
    | ~ spl15
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8741]) ).

cnf(sct967,plain,
    ( ~ spl29
    | ~ spl15
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8746]) ).

cnf(p8744,plain,
    ( ~ spl15
    | ~ spl2
    | sk19 = n9 ),
    inference(superposition,[status(thm)],[p8735,c162]) ).

cnf(p8750,plain,
    ( ~ spl30
    | ~ spl15
    | ~ spl2
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p8744,p196]) ).

cnf(p8755,plain,
    ( ~ spl30
    | ~ spl15
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8750]) ).

cnf(sct968,plain,
    ( ~ spl30
    | ~ spl15
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8755]) ).

cnf(p8753,plain,
    ( ~ spl15
    | ~ spl2
    | sk21 = n3 ),
    inference(superposition,[status(thm)],[p8744,c164]) ).

cnf(p8757,plain,
    ( ~ spl31
    | ~ spl15
    | ~ spl2
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p8753,p197]) ).

cnf(p8758,plain,
    ( ~ spl31
    | ~ spl15
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8757]) ).

cnf(sct969,plain,
    ( ~ spl31
    | ~ spl15
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8758]) ).

cnf(p8760,plain,
    ( ~ spl14
    | ~ spl2
    | sk3 = n10 ),
    inference(superposition,[status(thm)],[p159,p8156]) ).

cnf(p8764,plain,
    ( ~ spl22
    | ~ spl14
    | ~ spl2
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p8760,p188]) ).

cnf(p8769,plain,
    ( ~ spl22
    | ~ spl14
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8764]) ).

cnf(sct970,plain,
    ( ~ spl22
    | ~ spl14
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8769]) ).

cnf(p8767,plain,
    ( ~ spl14
    | ~ spl2
    | sk5 = n7 ),
    inference(superposition,[status(thm)],[p8760,c148]) ).

cnf(p8773,plain,
    ( ~ spl23
    | ~ spl14
    | ~ spl2
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p8767,p189]) ).

cnf(p8778,plain,
    ( ~ spl23
    | ~ spl14
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8773]) ).

cnf(sct971,plain,
    ( ~ spl23
    | ~ spl14
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8778]) ).

cnf(p8776,plain,
    ( ~ spl14
    | ~ spl2
    | sk7 = n6 ),
    inference(superposition,[status(thm)],[p8767,c150]) ).

cnf(p8782,plain,
    ( ~ spl24
    | ~ spl14
    | ~ spl2
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p8776,p190]) ).

cnf(p8787,plain,
    ( ~ spl24
    | ~ spl14
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8782]) ).

cnf(sct972,plain,
    ( ~ spl24
    | ~ spl14
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8787]) ).

cnf(p8785,plain,
    ( ~ spl14
    | ~ spl2
    | sk9 = n2 ),
    inference(superposition,[status(thm)],[p8776,c152]) ).

cnf(p8791,plain,
    ( ~ spl25
    | ~ spl14
    | ~ spl2
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p8785,p191]) ).

cnf(p8796,plain,
    ( ~ spl25
    | ~ spl14
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8791]) ).

cnf(sct973,plain,
    ( ~ spl25
    | ~ spl14
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8796]) ).

cnf(p8794,plain,
    ( ~ spl14
    | ~ spl2
    | sk11 = n8 ),
    inference(superposition,[status(thm)],[p8785,c154]) ).

cnf(p8800,plain,
    ( ~ spl26
    | ~ spl14
    | ~ spl2
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p8794,p192]) ).

cnf(p8805,plain,
    ( ~ spl26
    | ~ spl14
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8800]) ).

cnf(sct974,plain,
    ( ~ spl26
    | ~ spl14
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8805]) ).

cnf(p8803,plain,
    ( ~ spl14
    | ~ spl2
    | sk13 = n10 ),
    inference(superposition,[status(thm)],[p8794,c156]) ).

cnf(p8809,plain,
    ( ~ spl27
    | ~ spl14
    | ~ spl2
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p8803,p193]) ).

cnf(p8814,plain,
    ( ~ spl27
    | ~ spl14
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8809]) ).

cnf(sct975,plain,
    ( ~ spl27
    | ~ spl14
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8814]) ).

cnf(p8812,plain,
    ( ~ spl14
    | ~ spl2
    | sk15 = n7 ),
    inference(superposition,[status(thm)],[p8803,c158]) ).

cnf(p8818,plain,
    ( ~ spl28
    | ~ spl14
    | ~ spl2
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p8812,p194]) ).

cnf(p8823,plain,
    ( ~ spl28
    | ~ spl14
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8818]) ).

cnf(sct976,plain,
    ( ~ spl28
    | ~ spl14
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8823]) ).

cnf(p8821,plain,
    ( ~ spl14
    | ~ spl2
    | sk17 = n6 ),
    inference(superposition,[status(thm)],[p8812,c160]) ).

cnf(p8827,plain,
    ( ~ spl29
    | ~ spl14
    | ~ spl2
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p8821,p195]) ).

cnf(p8832,plain,
    ( ~ spl29
    | ~ spl14
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8827]) ).

cnf(sct977,plain,
    ( ~ spl29
    | ~ spl14
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8832]) ).

cnf(p8830,plain,
    ( ~ spl14
    | ~ spl2
    | sk19 = n2 ),
    inference(superposition,[status(thm)],[p8821,c162]) ).

cnf(p8836,plain,
    ( ~ spl30
    | ~ spl14
    | ~ spl2
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p8830,p196]) ).

cnf(p8841,plain,
    ( ~ spl30
    | ~ spl14
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8836]) ).

cnf(sct978,plain,
    ( ~ spl30
    | ~ spl14
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8841]) ).

cnf(p8839,plain,
    ( ~ spl14
    | ~ spl2
    | sk21 = n8 ),
    inference(superposition,[status(thm)],[p8830,c164]) ).

cnf(p8843,plain,
    ( ~ spl31
    | ~ spl14
    | ~ spl2
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p8839,p197]) ).

cnf(p8844,plain,
    ( ~ spl31
    | ~ spl14
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8843]) ).

cnf(sct979,plain,
    ( ~ spl31
    | ~ spl14
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8844]) ).

cnf(p8846,plain,
    ( ~ spl13
    | ~ spl2
    | sk3 = n8 ),
    inference(superposition,[status(thm)],[p158,p8156]) ).

cnf(p8850,plain,
    ( ~ spl22
    | ~ spl13
    | ~ spl2
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p8846,p188]) ).

cnf(p8855,plain,
    ( ~ spl22
    | ~ spl13
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8850]) ).

cnf(sct980,plain,
    ( ~ spl22
    | ~ spl13
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8855]) ).

cnf(p8853,plain,
    ( ~ spl13
    | ~ spl2
    | sk5 = n10 ),
    inference(superposition,[status(thm)],[p8846,c148]) ).

cnf(p8859,plain,
    ( ~ spl23
    | ~ spl13
    | ~ spl2
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p8853,p189]) ).

cnf(p8864,plain,
    ( ~ spl23
    | ~ spl13
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8859]) ).

cnf(sct981,plain,
    ( ~ spl23
    | ~ spl13
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8864]) ).

cnf(p8862,plain,
    ( ~ spl13
    | ~ spl2
    | sk7 = n7 ),
    inference(superposition,[status(thm)],[p8853,c150]) ).

cnf(p8868,plain,
    ( ~ spl24
    | ~ spl13
    | ~ spl2
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p8862,p190]) ).

cnf(p8873,plain,
    ( ~ spl24
    | ~ spl13
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8868]) ).

cnf(sct982,plain,
    ( ~ spl24
    | ~ spl13
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8873]) ).

cnf(p8871,plain,
    ( ~ spl13
    | ~ spl2
    | sk9 = n6 ),
    inference(superposition,[status(thm)],[p8862,c152]) ).

cnf(p8877,plain,
    ( ~ spl25
    | ~ spl13
    | ~ spl2
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p8871,p191]) ).

cnf(p8882,plain,
    ( ~ spl25
    | ~ spl13
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8877]) ).

cnf(sct983,plain,
    ( ~ spl25
    | ~ spl13
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8882]) ).

cnf(p8880,plain,
    ( ~ spl13
    | ~ spl2
    | sk11 = n2 ),
    inference(superposition,[status(thm)],[p8871,c154]) ).

cnf(p8886,plain,
    ( ~ spl26
    | ~ spl13
    | ~ spl2
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p8880,p192]) ).

cnf(p8891,plain,
    ( ~ spl26
    | ~ spl13
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8886]) ).

cnf(sct984,plain,
    ( ~ spl26
    | ~ spl13
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8891]) ).

cnf(p8889,plain,
    ( ~ spl13
    | ~ spl2
    | sk13 = n8 ),
    inference(superposition,[status(thm)],[p8880,c156]) ).

cnf(p8895,plain,
    ( ~ spl27
    | ~ spl13
    | ~ spl2
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p8889,p193]) ).

cnf(p8900,plain,
    ( ~ spl27
    | ~ spl13
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8895]) ).

cnf(sct985,plain,
    ( ~ spl27
    | ~ spl13
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8900]) ).

cnf(p8898,plain,
    ( ~ spl13
    | ~ spl2
    | sk15 = n10 ),
    inference(superposition,[status(thm)],[p8889,c158]) ).

cnf(p8904,plain,
    ( ~ spl28
    | ~ spl13
    | ~ spl2
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p8898,p194]) ).

cnf(p8909,plain,
    ( ~ spl28
    | ~ spl13
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8904]) ).

cnf(sct986,plain,
    ( ~ spl28
    | ~ spl13
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8909]) ).

cnf(p8907,plain,
    ( ~ spl13
    | ~ spl2
    | sk17 = n7 ),
    inference(superposition,[status(thm)],[p8898,c160]) ).

cnf(p8913,plain,
    ( ~ spl29
    | ~ spl13
    | ~ spl2
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p8907,p195]) ).

cnf(p8918,plain,
    ( ~ spl29
    | ~ spl13
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8913]) ).

cnf(sct987,plain,
    ( ~ spl29
    | ~ spl13
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8918]) ).

cnf(p8916,plain,
    ( ~ spl13
    | ~ spl2
    | sk19 = n6 ),
    inference(superposition,[status(thm)],[p8907,c162]) ).

cnf(p8922,plain,
    ( ~ spl30
    | ~ spl13
    | ~ spl2
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p8916,p196]) ).

cnf(p8927,plain,
    ( ~ spl30
    | ~ spl13
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8922]) ).

cnf(sct988,plain,
    ( ~ spl30
    | ~ spl13
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8927]) ).

cnf(p8925,plain,
    ( ~ spl13
    | ~ spl2
    | sk21 = n2 ),
    inference(superposition,[status(thm)],[p8916,c164]) ).

cnf(p8929,plain,
    ( ~ spl31
    | ~ spl13
    | ~ spl2
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p8925,p197]) ).

cnf(p8930,plain,
    ( ~ spl31
    | ~ spl13
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8929]) ).

cnf(sct989,plain,
    ( ~ spl31
    | ~ spl13
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8930]) ).

cnf(p8932,plain,
    ( ~ spl12
    | ~ spl2
    | sk3 = n6 ),
    inference(superposition,[status(thm)],[p157,p8156]) ).

cnf(p8936,plain,
    ( ~ spl22
    | ~ spl12
    | ~ spl2
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p8932,p188]) ).

cnf(p8941,plain,
    ( ~ spl22
    | ~ spl12
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8936]) ).

cnf(sct990,plain,
    ( ~ spl22
    | ~ spl12
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8941]) ).

cnf(p8939,plain,
    ( ~ spl12
    | ~ spl2
    | sk5 = n2 ),
    inference(superposition,[status(thm)],[p8932,c148]) ).

cnf(p8945,plain,
    ( ~ spl23
    | ~ spl12
    | ~ spl2
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p8939,p189]) ).

cnf(p8950,plain,
    ( ~ spl23
    | ~ spl12
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8945]) ).

cnf(sct991,plain,
    ( ~ spl23
    | ~ spl12
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8950]) ).

cnf(p8948,plain,
    ( ~ spl12
    | ~ spl2
    | sk7 = n8 ),
    inference(superposition,[status(thm)],[p8939,c150]) ).

cnf(p8954,plain,
    ( ~ spl24
    | ~ spl12
    | ~ spl2
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p8948,p190]) ).

cnf(p8959,plain,
    ( ~ spl24
    | ~ spl12
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8954]) ).

cnf(sct992,plain,
    ( ~ spl24
    | ~ spl12
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8959]) ).

cnf(p8957,plain,
    ( ~ spl12
    | ~ spl2
    | sk9 = n10 ),
    inference(superposition,[status(thm)],[p8948,c152]) ).

cnf(p8963,plain,
    ( ~ spl25
    | ~ spl12
    | ~ spl2
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p8957,p191]) ).

cnf(p8968,plain,
    ( ~ spl25
    | ~ spl12
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8963]) ).

cnf(sct993,plain,
    ( ~ spl25
    | ~ spl12
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8968]) ).

cnf(p8966,plain,
    ( ~ spl12
    | ~ spl2
    | sk11 = n7 ),
    inference(superposition,[status(thm)],[p8957,c154]) ).

cnf(p8972,plain,
    ( ~ spl26
    | ~ spl12
    | ~ spl2
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p8966,p192]) ).

cnf(p8977,plain,
    ( ~ spl26
    | ~ spl12
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8972]) ).

cnf(sct994,plain,
    ( ~ spl26
    | ~ spl12
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8977]) ).

cnf(p8975,plain,
    ( ~ spl12
    | ~ spl2
    | sk13 = n6 ),
    inference(superposition,[status(thm)],[p8966,c156]) ).

cnf(p8981,plain,
    ( ~ spl27
    | ~ spl12
    | ~ spl2
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p8975,p193]) ).

cnf(p8986,plain,
    ( ~ spl27
    | ~ spl12
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8981]) ).

cnf(sct995,plain,
    ( ~ spl27
    | ~ spl12
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8986]) ).

cnf(p8984,plain,
    ( ~ spl12
    | ~ spl2
    | sk15 = n2 ),
    inference(superposition,[status(thm)],[p8975,c158]) ).

cnf(p8990,plain,
    ( ~ spl28
    | ~ spl12
    | ~ spl2
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p8984,p194]) ).

cnf(p8995,plain,
    ( ~ spl28
    | ~ spl12
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8990]) ).

cnf(sct996,plain,
    ( ~ spl28
    | ~ spl12
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p8995]) ).

cnf(p8993,plain,
    ( ~ spl12
    | ~ spl2
    | sk17 = n8 ),
    inference(superposition,[status(thm)],[p8984,c160]) ).

cnf(p8999,plain,
    ( ~ spl29
    | ~ spl12
    | ~ spl2
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p8993,p195]) ).

cnf(p9004,plain,
    ( ~ spl29
    | ~ spl12
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p8999]) ).

cnf(sct997,plain,
    ( ~ spl29
    | ~ spl12
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9004]) ).

cnf(p9002,plain,
    ( ~ spl12
    | ~ spl2
    | sk19 = n10 ),
    inference(superposition,[status(thm)],[p8993,c162]) ).

cnf(p9008,plain,
    ( ~ spl30
    | ~ spl12
    | ~ spl2
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p9002,p196]) ).

cnf(p9013,plain,
    ( ~ spl30
    | ~ spl12
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p9008]) ).

cnf(sct998,plain,
    ( ~ spl30
    | ~ spl12
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9013]) ).

cnf(p9011,plain,
    ( ~ spl12
    | ~ spl2
    | sk21 = n7 ),
    inference(superposition,[status(thm)],[p9002,c164]) ).

cnf(p9015,plain,
    ( ~ spl31
    | ~ spl12
    | ~ spl2
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p9011,p197]) ).

cnf(p9016,plain,
    ( ~ spl31
    | ~ spl12
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p9015]) ).

cnf(sct999,plain,
    ( ~ spl31
    | ~ spl12
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9016]) ).

cnf(p9018,plain,
    ( ~ spl11
    | ~ spl2
    | sk3 = n4 ),
    inference(superposition,[status(thm)],[p156,p8156]) ).

cnf(p9022,plain,
    ( ~ spl22
    | ~ spl11
    | ~ spl2
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p9018,p188]) ).

cnf(p9027,plain,
    ( ~ spl22
    | ~ spl11
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p9022]) ).

cnf(sct1000,plain,
    ( ~ spl22
    | ~ spl11
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9027]) ).

cnf(p9025,plain,
    ( ~ spl11
    | ~ spl2
    | sk5 = n5 ),
    inference(superposition,[status(thm)],[p9018,c148]) ).

cnf(p9031,plain,
    ( ~ spl23
    | ~ spl11
    | ~ spl2
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p9025,p189]) ).

cnf(p9036,plain,
    ( ~ spl23
    | ~ spl11
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p9031]) ).

cnf(sct1001,plain,
    ( ~ spl23
    | ~ spl11
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9036]) ).

cnf(p9034,plain,
    ( ~ spl11
    | ~ spl2
    | sk7 = n9 ),
    inference(superposition,[status(thm)],[p9025,c150]) ).

cnf(p9040,plain,
    ( ~ spl24
    | ~ spl11
    | ~ spl2
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p9034,p190]) ).

cnf(p9045,plain,
    ( ~ spl24
    | ~ spl11
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p9040]) ).

cnf(sct1002,plain,
    ( ~ spl24
    | ~ spl11
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9045]) ).

cnf(p9043,plain,
    ( ~ spl11
    | ~ spl2
    | sk9 = n3 ),
    inference(superposition,[status(thm)],[p9034,c152]) ).

cnf(p9049,plain,
    ( ~ spl25
    | ~ spl11
    | ~ spl2
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p9043,p191]) ).

cnf(p9054,plain,
    ( ~ spl25
    | ~ spl11
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p9049]) ).

cnf(sct1003,plain,
    ( ~ spl25
    | ~ spl11
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9054]) ).

cnf(p9052,plain,
    ( ~ spl11
    | ~ spl2
    | sk11 = n1 ),
    inference(superposition,[status(thm)],[p9043,c154]) ).

cnf(p9058,plain,
    ( ~ spl26
    | ~ spl11
    | ~ spl2
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p9052,p192]) ).

cnf(p9063,plain,
    ( ~ spl26
    | ~ spl11
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p9058]) ).

cnf(sct1004,plain,
    ( ~ spl26
    | ~ spl11
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9063]) ).

cnf(p9061,plain,
    ( ~ spl11
    | ~ spl2
    | sk13 = n4 ),
    inference(superposition,[status(thm)],[p9052,c156]) ).

cnf(p9067,plain,
    ( ~ spl27
    | ~ spl11
    | ~ spl2
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p9061,p193]) ).

cnf(p9072,plain,
    ( ~ spl27
    | ~ spl11
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p9067]) ).

cnf(sct1005,plain,
    ( ~ spl27
    | ~ spl11
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9072]) ).

cnf(p9070,plain,
    ( ~ spl11
    | ~ spl2
    | sk15 = n5 ),
    inference(superposition,[status(thm)],[p9061,c158]) ).

cnf(p9076,plain,
    ( ~ spl28
    | ~ spl11
    | ~ spl2
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p9070,p194]) ).

cnf(p9081,plain,
    ( ~ spl28
    | ~ spl11
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p9076]) ).

cnf(sct1006,plain,
    ( ~ spl28
    | ~ spl11
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9081]) ).

cnf(p9079,plain,
    ( ~ spl11
    | ~ spl2
    | sk17 = n9 ),
    inference(superposition,[status(thm)],[p9070,c160]) ).

cnf(p9085,plain,
    ( ~ spl29
    | ~ spl11
    | ~ spl2
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p9079,p195]) ).

cnf(p9090,plain,
    ( ~ spl29
    | ~ spl11
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p9085]) ).

cnf(sct1007,plain,
    ( ~ spl29
    | ~ spl11
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9090]) ).

cnf(p9088,plain,
    ( ~ spl11
    | ~ spl2
    | sk19 = n3 ),
    inference(superposition,[status(thm)],[p9079,c162]) ).

cnf(p9094,plain,
    ( ~ spl30
    | ~ spl11
    | ~ spl2
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p9088,p196]) ).

cnf(p9099,plain,
    ( ~ spl30
    | ~ spl11
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p9094]) ).

cnf(sct1008,plain,
    ( ~ spl30
    | ~ spl11
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9099]) ).

cnf(p9097,plain,
    ( ~ spl11
    | ~ spl2
    | sk21 = n1 ),
    inference(superposition,[status(thm)],[p9088,c164]) ).

cnf(p9101,plain,
    ( ~ spl31
    | ~ spl11
    | ~ spl2
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p9097,p197]) ).

cnf(p9102,plain,
    ( ~ spl31
    | ~ spl11
    | ~ spl2
    | $false ),
    inference(equality_resolution,[status(thm)],[p9101]) ).

cnf(sct1009,plain,
    ( ~ spl31
    | ~ spl11
    | ~ spl2 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9102]) ).

cnf(p9105,plain,
    ( ~ spl20
    | ~ spl1
    | sk3 = n9 ),
    inference(superposition,[status(thm)],[p145,p585]) ).

cnf(p9107,plain,
    ( ~ spl22
    | ~ spl20
    | ~ spl1
    | sk2 != n9 ),
    inference(superposition,[status(thm)],[p9105,p188]) ).

cnf(p9106,plain,
    ( ~ spl20
    | ~ spl1
    | sk2 = n9 ),
    inference(superposition,[status(thm)],[p145,p582]) ).

cnf(p9115,plain,
    ( ~ spl22
    | ~ spl20
    | ~ spl1
    | $false ),
    inference(resolution,[status(thm)],[p9107,p9106]) ).

cnf(sct1010,plain,
    ( ~ spl22
    | ~ spl20
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9115]) ).

cnf(p9113,plain,
    ( ~ spl20
    | ~ spl1
    | sk5 = n3 ),
    inference(superposition,[status(thm)],[p9106,c148]) ).

cnf(p9119,plain,
    ( ~ spl23
    | ~ spl20
    | ~ spl1
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p9113,p189]) ).

cnf(p9124,plain,
    ( ~ spl23
    | ~ spl20
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9119]) ).

cnf(sct1011,plain,
    ( ~ spl23
    | ~ spl20
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9124]) ).

cnf(p9122,plain,
    ( ~ spl20
    | ~ spl1
    | sk7 = n1 ),
    inference(superposition,[status(thm)],[p9113,c150]) ).

cnf(p9128,plain,
    ( ~ spl24
    | ~ spl20
    | ~ spl1
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p9122,p190]) ).

cnf(p9133,plain,
    ( ~ spl24
    | ~ spl20
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9128]) ).

cnf(sct1012,plain,
    ( ~ spl24
    | ~ spl20
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9133]) ).

cnf(p9131,plain,
    ( ~ spl20
    | ~ spl1
    | sk9 = n4 ),
    inference(superposition,[status(thm)],[p9122,c152]) ).

cnf(p9137,plain,
    ( ~ spl25
    | ~ spl20
    | ~ spl1
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p9131,p191]) ).

cnf(p9142,plain,
    ( ~ spl25
    | ~ spl20
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9137]) ).

cnf(sct1013,plain,
    ( ~ spl25
    | ~ spl20
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9142]) ).

cnf(p9140,plain,
    ( ~ spl20
    | ~ spl1
    | sk11 = n5 ),
    inference(superposition,[status(thm)],[p9131,c154]) ).

cnf(p9146,plain,
    ( ~ spl26
    | ~ spl20
    | ~ spl1
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p9140,p192]) ).

cnf(p9151,plain,
    ( ~ spl26
    | ~ spl20
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9146]) ).

cnf(sct1014,plain,
    ( ~ spl26
    | ~ spl20
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9151]) ).

cnf(p9149,plain,
    ( ~ spl20
    | ~ spl1
    | sk13 = n9 ),
    inference(superposition,[status(thm)],[p9140,c156]) ).

cnf(p9155,plain,
    ( ~ spl27
    | ~ spl20
    | ~ spl1
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p9149,p193]) ).

cnf(p9160,plain,
    ( ~ spl27
    | ~ spl20
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9155]) ).

cnf(sct1015,plain,
    ( ~ spl27
    | ~ spl20
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9160]) ).

cnf(p9158,plain,
    ( ~ spl20
    | ~ spl1
    | sk15 = n3 ),
    inference(superposition,[status(thm)],[p9149,c158]) ).

cnf(p9164,plain,
    ( ~ spl28
    | ~ spl20
    | ~ spl1
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p9158,p194]) ).

cnf(p9169,plain,
    ( ~ spl28
    | ~ spl20
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9164]) ).

cnf(sct1016,plain,
    ( ~ spl28
    | ~ spl20
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9169]) ).

cnf(p9167,plain,
    ( ~ spl20
    | ~ spl1
    | sk17 = n1 ),
    inference(superposition,[status(thm)],[p9158,c160]) ).

cnf(p9173,plain,
    ( ~ spl29
    | ~ spl20
    | ~ spl1
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p9167,p195]) ).

cnf(p9178,plain,
    ( ~ spl29
    | ~ spl20
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9173]) ).

cnf(sct1017,plain,
    ( ~ spl29
    | ~ spl20
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9178]) ).

cnf(p9176,plain,
    ( ~ spl20
    | ~ spl1
    | sk19 = n4 ),
    inference(superposition,[status(thm)],[p9167,c162]) ).

cnf(p9182,plain,
    ( ~ spl30
    | ~ spl20
    | ~ spl1
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p9176,p196]) ).

cnf(p9187,plain,
    ( ~ spl30
    | ~ spl20
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9182]) ).

cnf(sct1018,plain,
    ( ~ spl30
    | ~ spl20
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9187]) ).

cnf(p9185,plain,
    ( ~ spl20
    | ~ spl1
    | sk21 = n5 ),
    inference(superposition,[status(thm)],[p9176,c164]) ).

cnf(p9189,plain,
    ( ~ spl31
    | ~ spl20
    | ~ spl1
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p9185,p197]) ).

cnf(p9190,plain,
    ( ~ spl31
    | ~ spl20
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9189]) ).

cnf(sct1019,plain,
    ( ~ spl31
    | ~ spl20
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9190]) ).

cnf(p9104,plain,
    ( ~ spl1
    | sk3 = sum(n2,sum(pred(sk1),succ(sk1))) ),
    inference(superposition,[status(thm)],[p145,c146]) ).

cnf(p9192,plain,
    ( ~ spl21
    | ~ spl1
    | sk3 = n0 ),
    inference(superposition,[status(thm)],[p166,p9104]) ).

cnf(p9196,plain,
    ( ~ spl22
    | ~ spl21
    | ~ spl1
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p9192,p188]) ).

cnf(p9201,plain,
    ( ~ spl22
    | ~ spl21
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9196]) ).

cnf(sct1020,plain,
    ( ~ spl22
    | ~ spl21
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9201]) ).

cnf(p9199,plain,
    ( ~ spl21
    | ~ spl1
    | sk5 = n0 ),
    inference(superposition,[status(thm)],[p9192,c148]) ).

cnf(p9205,plain,
    ( ~ spl23
    | ~ spl21
    | ~ spl1
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p9199,p189]) ).

cnf(p9210,plain,
    ( ~ spl23
    | ~ spl21
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9205]) ).

cnf(sct1021,plain,
    ( ~ spl23
    | ~ spl21
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9210]) ).

cnf(p9208,plain,
    ( ~ spl21
    | ~ spl1
    | sk7 = n0 ),
    inference(superposition,[status(thm)],[p9199,c150]) ).

cnf(p9214,plain,
    ( ~ spl24
    | ~ spl21
    | ~ spl1
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p9208,p190]) ).

cnf(p9219,plain,
    ( ~ spl24
    | ~ spl21
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9214]) ).

cnf(sct1022,plain,
    ( ~ spl24
    | ~ spl21
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9219]) ).

cnf(p9217,plain,
    ( ~ spl21
    | ~ spl1
    | sk9 = n0 ),
    inference(superposition,[status(thm)],[p9208,c152]) ).

cnf(p9223,plain,
    ( ~ spl25
    | ~ spl21
    | ~ spl1
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p9217,p191]) ).

cnf(p9228,plain,
    ( ~ spl25
    | ~ spl21
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9223]) ).

cnf(sct1023,plain,
    ( ~ spl25
    | ~ spl21
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9228]) ).

cnf(p9226,plain,
    ( ~ spl21
    | ~ spl1
    | sk11 = n0 ),
    inference(superposition,[status(thm)],[p9217,c154]) ).

cnf(p9232,plain,
    ( ~ spl26
    | ~ spl21
    | ~ spl1
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p9226,p192]) ).

cnf(p9237,plain,
    ( ~ spl26
    | ~ spl21
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9232]) ).

cnf(sct1024,plain,
    ( ~ spl26
    | ~ spl21
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9237]) ).

cnf(p9235,plain,
    ( ~ spl21
    | ~ spl1
    | sk13 = n0 ),
    inference(superposition,[status(thm)],[p9226,c156]) ).

cnf(p9241,plain,
    ( ~ spl27
    | ~ spl21
    | ~ spl1
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p9235,p193]) ).

cnf(p9246,plain,
    ( ~ spl27
    | ~ spl21
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9241]) ).

cnf(sct1025,plain,
    ( ~ spl27
    | ~ spl21
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9246]) ).

cnf(p9244,plain,
    ( ~ spl21
    | ~ spl1
    | sk15 = n0 ),
    inference(superposition,[status(thm)],[p9235,c158]) ).

cnf(p9250,plain,
    ( ~ spl28
    | ~ spl21
    | ~ spl1
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p9244,p194]) ).

cnf(p9255,plain,
    ( ~ spl28
    | ~ spl21
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9250]) ).

cnf(sct1026,plain,
    ( ~ spl28
    | ~ spl21
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9255]) ).

cnf(p9253,plain,
    ( ~ spl21
    | ~ spl1
    | sk17 = n0 ),
    inference(superposition,[status(thm)],[p9244,c160]) ).

cnf(p9259,plain,
    ( ~ spl29
    | ~ spl21
    | ~ spl1
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p9253,p195]) ).

cnf(p9264,plain,
    ( ~ spl29
    | ~ spl21
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9259]) ).

cnf(sct1027,plain,
    ( ~ spl29
    | ~ spl21
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9264]) ).

cnf(p9262,plain,
    ( ~ spl21
    | ~ spl1
    | sk19 = n0 ),
    inference(superposition,[status(thm)],[p9253,c162]) ).

cnf(p9268,plain,
    ( ~ spl30
    | ~ spl21
    | ~ spl1
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p9262,p196]) ).

cnf(p9273,plain,
    ( ~ spl30
    | ~ spl21
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9268]) ).

cnf(sct1028,plain,
    ( ~ spl30
    | ~ spl21
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9273]) ).

cnf(p9271,plain,
    ( ~ spl21
    | ~ spl1
    | sk21 = n0 ),
    inference(superposition,[status(thm)],[p9262,c164]) ).

cnf(p9275,plain,
    ( ~ spl31
    | ~ spl21
    | ~ spl1
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p9271,p197]) ).

cnf(p9276,plain,
    ( ~ spl31
    | ~ spl21
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9275]) ).

cnf(sct1029,plain,
    ( ~ spl31
    | ~ spl21
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9276]) ).

cnf(p9278,plain,
    ( ~ spl19
    | ~ spl1
    | sk3 = n7 ),
    inference(superposition,[status(thm)],[p164,p9104]) ).

cnf(p9282,plain,
    ( ~ spl22
    | ~ spl19
    | ~ spl1
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p9278,p188]) ).

cnf(p9287,plain,
    ( ~ spl22
    | ~ spl19
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9282]) ).

cnf(sct1030,plain,
    ( ~ spl22
    | ~ spl19
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9287]) ).

cnf(p9285,plain,
    ( ~ spl19
    | ~ spl1
    | sk5 = n6 ),
    inference(superposition,[status(thm)],[p9278,c148]) ).

cnf(p9291,plain,
    ( ~ spl23
    | ~ spl19
    | ~ spl1
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p9285,p189]) ).

cnf(p9296,plain,
    ( ~ spl23
    | ~ spl19
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9291]) ).

cnf(sct1031,plain,
    ( ~ spl23
    | ~ spl19
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9296]) ).

cnf(p9294,plain,
    ( ~ spl19
    | ~ spl1
    | sk7 = n2 ),
    inference(superposition,[status(thm)],[p9285,c150]) ).

cnf(p9300,plain,
    ( ~ spl24
    | ~ spl19
    | ~ spl1
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p9294,p190]) ).

cnf(p9305,plain,
    ( ~ spl24
    | ~ spl19
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9300]) ).

cnf(sct1032,plain,
    ( ~ spl24
    | ~ spl19
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9305]) ).

cnf(p9303,plain,
    ( ~ spl19
    | ~ spl1
    | sk9 = n8 ),
    inference(superposition,[status(thm)],[p9294,c152]) ).

cnf(p9309,plain,
    ( ~ spl25
    | ~ spl19
    | ~ spl1
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p9303,p191]) ).

cnf(p9314,plain,
    ( ~ spl25
    | ~ spl19
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9309]) ).

cnf(sct1033,plain,
    ( ~ spl25
    | ~ spl19
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9314]) ).

cnf(p9312,plain,
    ( ~ spl19
    | ~ spl1
    | sk11 = n10 ),
    inference(superposition,[status(thm)],[p9303,c154]) ).

cnf(p9318,plain,
    ( ~ spl26
    | ~ spl19
    | ~ spl1
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p9312,p192]) ).

cnf(p9323,plain,
    ( ~ spl26
    | ~ spl19
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9318]) ).

cnf(sct1034,plain,
    ( ~ spl26
    | ~ spl19
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9323]) ).

cnf(p9321,plain,
    ( ~ spl19
    | ~ spl1
    | sk13 = n7 ),
    inference(superposition,[status(thm)],[p9312,c156]) ).

cnf(p9327,plain,
    ( ~ spl27
    | ~ spl19
    | ~ spl1
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p9321,p193]) ).

cnf(p9332,plain,
    ( ~ spl27
    | ~ spl19
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9327]) ).

cnf(sct1035,plain,
    ( ~ spl27
    | ~ spl19
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9332]) ).

cnf(p9330,plain,
    ( ~ spl19
    | ~ spl1
    | sk15 = n6 ),
    inference(superposition,[status(thm)],[p9321,c158]) ).

cnf(p9336,plain,
    ( ~ spl28
    | ~ spl19
    | ~ spl1
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p9330,p194]) ).

cnf(p9341,plain,
    ( ~ spl28
    | ~ spl19
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9336]) ).

cnf(sct1036,plain,
    ( ~ spl28
    | ~ spl19
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9341]) ).

cnf(p9339,plain,
    ( ~ spl19
    | ~ spl1
    | sk17 = n2 ),
    inference(superposition,[status(thm)],[p9330,c160]) ).

cnf(p9345,plain,
    ( ~ spl29
    | ~ spl19
    | ~ spl1
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p9339,p195]) ).

cnf(p9350,plain,
    ( ~ spl29
    | ~ spl19
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9345]) ).

cnf(sct1037,plain,
    ( ~ spl29
    | ~ spl19
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9350]) ).

cnf(p9348,plain,
    ( ~ spl19
    | ~ spl1
    | sk19 = n8 ),
    inference(superposition,[status(thm)],[p9339,c162]) ).

cnf(p9354,plain,
    ( ~ spl30
    | ~ spl19
    | ~ spl1
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p9348,p196]) ).

cnf(p9359,plain,
    ( ~ spl30
    | ~ spl19
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9354]) ).

cnf(sct1038,plain,
    ( ~ spl30
    | ~ spl19
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9359]) ).

cnf(p9357,plain,
    ( ~ spl19
    | ~ spl1
    | sk21 = n10 ),
    inference(superposition,[status(thm)],[p9348,c164]) ).

cnf(p9361,plain,
    ( ~ spl31
    | ~ spl19
    | ~ spl1
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p9357,p197]) ).

cnf(p9362,plain,
    ( ~ spl31
    | ~ spl19
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9361]) ).

cnf(sct1039,plain,
    ( ~ spl31
    | ~ spl19
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9362]) ).

cnf(p9364,plain,
    ( ~ spl18
    | ~ spl1
    | sk3 = n5 ),
    inference(superposition,[status(thm)],[p163,p9104]) ).

cnf(p9368,plain,
    ( ~ spl22
    | ~ spl18
    | ~ spl1
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p9364,p188]) ).

cnf(p9373,plain,
    ( ~ spl22
    | ~ spl18
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9368]) ).

cnf(sct1040,plain,
    ( ~ spl22
    | ~ spl18
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9373]) ).

cnf(p9371,plain,
    ( ~ spl18
    | ~ spl1
    | sk5 = n9 ),
    inference(superposition,[status(thm)],[p9364,c148]) ).

cnf(p9377,plain,
    ( ~ spl23
    | ~ spl18
    | ~ spl1
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p9371,p189]) ).

cnf(p9382,plain,
    ( ~ spl23
    | ~ spl18
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9377]) ).

cnf(sct1041,plain,
    ( ~ spl23
    | ~ spl18
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9382]) ).

cnf(p9380,plain,
    ( ~ spl18
    | ~ spl1
    | sk7 = n3 ),
    inference(superposition,[status(thm)],[p9371,c150]) ).

cnf(p9386,plain,
    ( ~ spl24
    | ~ spl18
    | ~ spl1
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p9380,p190]) ).

cnf(p9391,plain,
    ( ~ spl24
    | ~ spl18
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9386]) ).

cnf(sct1042,plain,
    ( ~ spl24
    | ~ spl18
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9391]) ).

cnf(p9389,plain,
    ( ~ spl18
    | ~ spl1
    | sk9 = n1 ),
    inference(superposition,[status(thm)],[p9380,c152]) ).

cnf(p9395,plain,
    ( ~ spl25
    | ~ spl18
    | ~ spl1
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p9389,p191]) ).

cnf(p9400,plain,
    ( ~ spl25
    | ~ spl18
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9395]) ).

cnf(sct1043,plain,
    ( ~ spl25
    | ~ spl18
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9400]) ).

cnf(p9398,plain,
    ( ~ spl18
    | ~ spl1
    | sk11 = n4 ),
    inference(superposition,[status(thm)],[p9389,c154]) ).

cnf(p9404,plain,
    ( ~ spl26
    | ~ spl18
    | ~ spl1
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p9398,p192]) ).

cnf(p9409,plain,
    ( ~ spl26
    | ~ spl18
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9404]) ).

cnf(sct1044,plain,
    ( ~ spl26
    | ~ spl18
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9409]) ).

cnf(p9407,plain,
    ( ~ spl18
    | ~ spl1
    | sk13 = n5 ),
    inference(superposition,[status(thm)],[p9398,c156]) ).

cnf(p9413,plain,
    ( ~ spl27
    | ~ spl18
    | ~ spl1
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p9407,p193]) ).

cnf(p9418,plain,
    ( ~ spl27
    | ~ spl18
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9413]) ).

cnf(sct1045,plain,
    ( ~ spl27
    | ~ spl18
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9418]) ).

cnf(p9416,plain,
    ( ~ spl18
    | ~ spl1
    | sk15 = n9 ),
    inference(superposition,[status(thm)],[p9407,c158]) ).

cnf(p9422,plain,
    ( ~ spl28
    | ~ spl18
    | ~ spl1
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p9416,p194]) ).

cnf(p9427,plain,
    ( ~ spl28
    | ~ spl18
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9422]) ).

cnf(sct1046,plain,
    ( ~ spl28
    | ~ spl18
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9427]) ).

cnf(p9425,plain,
    ( ~ spl18
    | ~ spl1
    | sk17 = n3 ),
    inference(superposition,[status(thm)],[p9416,c160]) ).

cnf(p9431,plain,
    ( ~ spl29
    | ~ spl18
    | ~ spl1
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p9425,p195]) ).

cnf(p9436,plain,
    ( ~ spl29
    | ~ spl18
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9431]) ).

cnf(sct1047,plain,
    ( ~ spl29
    | ~ spl18
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9436]) ).

cnf(p9434,plain,
    ( ~ spl18
    | ~ spl1
    | sk19 = n1 ),
    inference(superposition,[status(thm)],[p9425,c162]) ).

cnf(p9440,plain,
    ( ~ spl30
    | ~ spl18
    | ~ spl1
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p9434,p196]) ).

cnf(p9445,plain,
    ( ~ spl30
    | ~ spl18
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9440]) ).

cnf(sct1048,plain,
    ( ~ spl30
    | ~ spl18
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9445]) ).

cnf(p9443,plain,
    ( ~ spl18
    | ~ spl1
    | sk21 = n4 ),
    inference(superposition,[status(thm)],[p9434,c164]) ).

cnf(p9447,plain,
    ( ~ spl31
    | ~ spl18
    | ~ spl1
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p9443,p197]) ).

cnf(p9448,plain,
    ( ~ spl31
    | ~ spl18
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9447]) ).

cnf(sct1049,plain,
    ( ~ spl31
    | ~ spl18
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9448]) ).

cnf(p9450,plain,
    ( ~ spl17
    | ~ spl1
    | sk3 = n3 ),
    inference(superposition,[status(thm)],[p162,p9104]) ).

cnf(p9454,plain,
    ( ~ spl22
    | ~ spl17
    | ~ spl1
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p9450,p188]) ).

cnf(p9459,plain,
    ( ~ spl22
    | ~ spl17
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9454]) ).

cnf(sct1050,plain,
    ( ~ spl22
    | ~ spl17
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9459]) ).

cnf(p9457,plain,
    ( ~ spl17
    | ~ spl1
    | sk5 = n1 ),
    inference(superposition,[status(thm)],[p9450,c148]) ).

cnf(p9463,plain,
    ( ~ spl23
    | ~ spl17
    | ~ spl1
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p9457,p189]) ).

cnf(p9468,plain,
    ( ~ spl23
    | ~ spl17
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9463]) ).

cnf(sct1051,plain,
    ( ~ spl23
    | ~ spl17
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9468]) ).

cnf(p9466,plain,
    ( ~ spl17
    | ~ spl1
    | sk7 = n4 ),
    inference(superposition,[status(thm)],[p9457,c150]) ).

cnf(p9472,plain,
    ( ~ spl24
    | ~ spl17
    | ~ spl1
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p9466,p190]) ).

cnf(p9477,plain,
    ( ~ spl24
    | ~ spl17
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9472]) ).

cnf(sct1052,plain,
    ( ~ spl24
    | ~ spl17
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9477]) ).

cnf(p9475,plain,
    ( ~ spl17
    | ~ spl1
    | sk9 = n5 ),
    inference(superposition,[status(thm)],[p9466,c152]) ).

cnf(p9481,plain,
    ( ~ spl25
    | ~ spl17
    | ~ spl1
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p9475,p191]) ).

cnf(p9486,plain,
    ( ~ spl25
    | ~ spl17
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9481]) ).

cnf(sct1053,plain,
    ( ~ spl25
    | ~ spl17
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9486]) ).

cnf(p9484,plain,
    ( ~ spl17
    | ~ spl1
    | sk11 = n9 ),
    inference(superposition,[status(thm)],[p9475,c154]) ).

cnf(p9490,plain,
    ( ~ spl26
    | ~ spl17
    | ~ spl1
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p9484,p192]) ).

cnf(p9495,plain,
    ( ~ spl26
    | ~ spl17
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9490]) ).

cnf(sct1054,plain,
    ( ~ spl26
    | ~ spl17
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9495]) ).

cnf(p9493,plain,
    ( ~ spl17
    | ~ spl1
    | sk13 = n3 ),
    inference(superposition,[status(thm)],[p9484,c156]) ).

cnf(p9499,plain,
    ( ~ spl27
    | ~ spl17
    | ~ spl1
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p9493,p193]) ).

cnf(p9504,plain,
    ( ~ spl27
    | ~ spl17
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9499]) ).

cnf(sct1055,plain,
    ( ~ spl27
    | ~ spl17
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9504]) ).

cnf(p9502,plain,
    ( ~ spl17
    | ~ spl1
    | sk15 = n1 ),
    inference(superposition,[status(thm)],[p9493,c158]) ).

cnf(p9508,plain,
    ( ~ spl28
    | ~ spl17
    | ~ spl1
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p9502,p194]) ).

cnf(p9513,plain,
    ( ~ spl28
    | ~ spl17
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9508]) ).

cnf(sct1056,plain,
    ( ~ spl28
    | ~ spl17
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9513]) ).

cnf(p9511,plain,
    ( ~ spl17
    | ~ spl1
    | sk17 = n4 ),
    inference(superposition,[status(thm)],[p9502,c160]) ).

cnf(p9517,plain,
    ( ~ spl29
    | ~ spl17
    | ~ spl1
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p9511,p195]) ).

cnf(p9522,plain,
    ( ~ spl29
    | ~ spl17
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9517]) ).

cnf(sct1057,plain,
    ( ~ spl29
    | ~ spl17
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9522]) ).

cnf(p9520,plain,
    ( ~ spl17
    | ~ spl1
    | sk19 = n5 ),
    inference(superposition,[status(thm)],[p9511,c162]) ).

cnf(p9526,plain,
    ( ~ spl30
    | ~ spl17
    | ~ spl1
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p9520,p196]) ).

cnf(p9531,plain,
    ( ~ spl30
    | ~ spl17
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9526]) ).

cnf(sct1058,plain,
    ( ~ spl30
    | ~ spl17
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9531]) ).

cnf(p9529,plain,
    ( ~ spl17
    | ~ spl1
    | sk21 = n9 ),
    inference(superposition,[status(thm)],[p9520,c164]) ).

cnf(p9533,plain,
    ( ~ spl31
    | ~ spl17
    | ~ spl1
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p9529,p197]) ).

cnf(p9534,plain,
    ( ~ spl31
    | ~ spl17
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9533]) ).

cnf(sct1059,plain,
    ( ~ spl31
    | ~ spl17
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9534]) ).

cnf(p9536,plain,
    ( ~ spl16
    | ~ spl1
    | sk3 = n1 ),
    inference(superposition,[status(thm)],[p161,p9104]) ).

cnf(p9540,plain,
    ( ~ spl22
    | ~ spl16
    | ~ spl1
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p9536,p188]) ).

cnf(p9545,plain,
    ( ~ spl22
    | ~ spl16
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9540]) ).

cnf(sct1060,plain,
    ( ~ spl22
    | ~ spl16
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9545]) ).

cnf(p9543,plain,
    ( ~ spl16
    | ~ spl1
    | sk5 = n4 ),
    inference(superposition,[status(thm)],[p9536,c148]) ).

cnf(p9549,plain,
    ( ~ spl23
    | ~ spl16
    | ~ spl1
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p9543,p189]) ).

cnf(p9554,plain,
    ( ~ spl23
    | ~ spl16
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9549]) ).

cnf(sct1061,plain,
    ( ~ spl23
    | ~ spl16
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9554]) ).

cnf(p9552,plain,
    ( ~ spl16
    | ~ spl1
    | sk7 = n5 ),
    inference(superposition,[status(thm)],[p9543,c150]) ).

cnf(p9558,plain,
    ( ~ spl24
    | ~ spl16
    | ~ spl1
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p9552,p190]) ).

cnf(p9563,plain,
    ( ~ spl24
    | ~ spl16
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9558]) ).

cnf(sct1062,plain,
    ( ~ spl24
    | ~ spl16
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9563]) ).

cnf(p9561,plain,
    ( ~ spl16
    | ~ spl1
    | sk9 = n9 ),
    inference(superposition,[status(thm)],[p9552,c152]) ).

cnf(p9567,plain,
    ( ~ spl25
    | ~ spl16
    | ~ spl1
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p9561,p191]) ).

cnf(p9572,plain,
    ( ~ spl25
    | ~ spl16
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9567]) ).

cnf(sct1063,plain,
    ( ~ spl25
    | ~ spl16
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9572]) ).

cnf(p9570,plain,
    ( ~ spl16
    | ~ spl1
    | sk11 = n3 ),
    inference(superposition,[status(thm)],[p9561,c154]) ).

cnf(p9576,plain,
    ( ~ spl26
    | ~ spl16
    | ~ spl1
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p9570,p192]) ).

cnf(p9581,plain,
    ( ~ spl26
    | ~ spl16
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9576]) ).

cnf(sct1064,plain,
    ( ~ spl26
    | ~ spl16
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9581]) ).

cnf(p9579,plain,
    ( ~ spl16
    | ~ spl1
    | sk13 = n1 ),
    inference(superposition,[status(thm)],[p9570,c156]) ).

cnf(p9585,plain,
    ( ~ spl27
    | ~ spl16
    | ~ spl1
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p9579,p193]) ).

cnf(p9590,plain,
    ( ~ spl27
    | ~ spl16
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9585]) ).

cnf(sct1065,plain,
    ( ~ spl27
    | ~ spl16
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9590]) ).

cnf(p9588,plain,
    ( ~ spl16
    | ~ spl1
    | sk15 = n4 ),
    inference(superposition,[status(thm)],[p9579,c158]) ).

cnf(p9594,plain,
    ( ~ spl28
    | ~ spl16
    | ~ spl1
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p9588,p194]) ).

cnf(p9599,plain,
    ( ~ spl28
    | ~ spl16
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9594]) ).

cnf(sct1066,plain,
    ( ~ spl28
    | ~ spl16
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9599]) ).

cnf(p9597,plain,
    ( ~ spl16
    | ~ spl1
    | sk17 = n5 ),
    inference(superposition,[status(thm)],[p9588,c160]) ).

cnf(p9603,plain,
    ( ~ spl29
    | ~ spl16
    | ~ spl1
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p9597,p195]) ).

cnf(p9608,plain,
    ( ~ spl29
    | ~ spl16
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9603]) ).

cnf(sct1067,plain,
    ( ~ spl29
    | ~ spl16
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9608]) ).

cnf(p9606,plain,
    ( ~ spl16
    | ~ spl1
    | sk19 = n9 ),
    inference(superposition,[status(thm)],[p9597,c162]) ).

cnf(p9612,plain,
    ( ~ spl30
    | ~ spl16
    | ~ spl1
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p9606,p196]) ).

cnf(p9617,plain,
    ( ~ spl30
    | ~ spl16
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9612]) ).

cnf(sct1068,plain,
    ( ~ spl30
    | ~ spl16
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9617]) ).

cnf(p9615,plain,
    ( ~ spl16
    | ~ spl1
    | sk21 = n3 ),
    inference(superposition,[status(thm)],[p9606,c164]) ).

cnf(p9619,plain,
    ( ~ spl31
    | ~ spl16
    | ~ spl1
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p9615,p197]) ).

cnf(p9620,plain,
    ( ~ spl31
    | ~ spl16
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9619]) ).

cnf(sct1069,plain,
    ( ~ spl31
    | ~ spl16
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9620]) ).

cnf(p9622,plain,
    ( ~ spl15
    | ~ spl1
    | sk3 = n10 ),
    inference(superposition,[status(thm)],[p160,p9104]) ).

cnf(p9626,plain,
    ( ~ spl22
    | ~ spl15
    | ~ spl1
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p9622,p188]) ).

cnf(p9631,plain,
    ( ~ spl22
    | ~ spl15
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9626]) ).

cnf(sct1070,plain,
    ( ~ spl22
    | ~ spl15
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9631]) ).

cnf(p9629,plain,
    ( ~ spl15
    | ~ spl1
    | sk5 = n7 ),
    inference(superposition,[status(thm)],[p9622,c148]) ).

cnf(p9635,plain,
    ( ~ spl23
    | ~ spl15
    | ~ spl1
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p9629,p189]) ).

cnf(p9640,plain,
    ( ~ spl23
    | ~ spl15
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9635]) ).

cnf(sct1071,plain,
    ( ~ spl23
    | ~ spl15
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9640]) ).

cnf(p9638,plain,
    ( ~ spl15
    | ~ spl1
    | sk7 = n6 ),
    inference(superposition,[status(thm)],[p9629,c150]) ).

cnf(p9644,plain,
    ( ~ spl24
    | ~ spl15
    | ~ spl1
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p9638,p190]) ).

cnf(p9649,plain,
    ( ~ spl24
    | ~ spl15
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9644]) ).

cnf(sct1072,plain,
    ( ~ spl24
    | ~ spl15
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9649]) ).

cnf(p9647,plain,
    ( ~ spl15
    | ~ spl1
    | sk9 = n2 ),
    inference(superposition,[status(thm)],[p9638,c152]) ).

cnf(p9653,plain,
    ( ~ spl25
    | ~ spl15
    | ~ spl1
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p9647,p191]) ).

cnf(p9658,plain,
    ( ~ spl25
    | ~ spl15
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9653]) ).

cnf(sct1073,plain,
    ( ~ spl25
    | ~ spl15
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9658]) ).

cnf(p9656,plain,
    ( ~ spl15
    | ~ spl1
    | sk11 = n8 ),
    inference(superposition,[status(thm)],[p9647,c154]) ).

cnf(p9662,plain,
    ( ~ spl26
    | ~ spl15
    | ~ spl1
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p9656,p192]) ).

cnf(p9667,plain,
    ( ~ spl26
    | ~ spl15
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9662]) ).

cnf(sct1074,plain,
    ( ~ spl26
    | ~ spl15
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9667]) ).

cnf(p9665,plain,
    ( ~ spl15
    | ~ spl1
    | sk13 = n10 ),
    inference(superposition,[status(thm)],[p9656,c156]) ).

cnf(p9671,plain,
    ( ~ spl27
    | ~ spl15
    | ~ spl1
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p9665,p193]) ).

cnf(p9676,plain,
    ( ~ spl27
    | ~ spl15
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9671]) ).

cnf(sct1075,plain,
    ( ~ spl27
    | ~ spl15
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9676]) ).

cnf(p9674,plain,
    ( ~ spl15
    | ~ spl1
    | sk15 = n7 ),
    inference(superposition,[status(thm)],[p9665,c158]) ).

cnf(p9680,plain,
    ( ~ spl28
    | ~ spl15
    | ~ spl1
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p9674,p194]) ).

cnf(p9685,plain,
    ( ~ spl28
    | ~ spl15
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9680]) ).

cnf(sct1076,plain,
    ( ~ spl28
    | ~ spl15
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9685]) ).

cnf(p9683,plain,
    ( ~ spl15
    | ~ spl1
    | sk17 = n6 ),
    inference(superposition,[status(thm)],[p9674,c160]) ).

cnf(p9689,plain,
    ( ~ spl29
    | ~ spl15
    | ~ spl1
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p9683,p195]) ).

cnf(p9694,plain,
    ( ~ spl29
    | ~ spl15
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9689]) ).

cnf(sct1077,plain,
    ( ~ spl29
    | ~ spl15
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9694]) ).

cnf(p9692,plain,
    ( ~ spl15
    | ~ spl1
    | sk19 = n2 ),
    inference(superposition,[status(thm)],[p9683,c162]) ).

cnf(p9698,plain,
    ( ~ spl30
    | ~ spl15
    | ~ spl1
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p9692,p196]) ).

cnf(p9703,plain,
    ( ~ spl30
    | ~ spl15
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9698]) ).

cnf(sct1078,plain,
    ( ~ spl30
    | ~ spl15
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9703]) ).

cnf(p9701,plain,
    ( ~ spl15
    | ~ spl1
    | sk21 = n8 ),
    inference(superposition,[status(thm)],[p9692,c164]) ).

cnf(p9705,plain,
    ( ~ spl31
    | ~ spl15
    | ~ spl1
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p9701,p197]) ).

cnf(p9706,plain,
    ( ~ spl31
    | ~ spl15
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9705]) ).

cnf(sct1079,plain,
    ( ~ spl31
    | ~ spl15
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9706]) ).

cnf(p9708,plain,
    ( ~ spl14
    | ~ spl1
    | sk3 = n8 ),
    inference(superposition,[status(thm)],[p159,p9104]) ).

cnf(p9712,plain,
    ( ~ spl22
    | ~ spl14
    | ~ spl1
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p9708,p188]) ).

cnf(p9717,plain,
    ( ~ spl22
    | ~ spl14
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9712]) ).

cnf(sct1080,plain,
    ( ~ spl22
    | ~ spl14
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9717]) ).

cnf(p9715,plain,
    ( ~ spl14
    | ~ spl1
    | sk5 = n10 ),
    inference(superposition,[status(thm)],[p9708,c148]) ).

cnf(p9721,plain,
    ( ~ spl23
    | ~ spl14
    | ~ spl1
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p9715,p189]) ).

cnf(p9726,plain,
    ( ~ spl23
    | ~ spl14
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9721]) ).

cnf(sct1081,plain,
    ( ~ spl23
    | ~ spl14
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9726]) ).

cnf(p9724,plain,
    ( ~ spl14
    | ~ spl1
    | sk7 = n7 ),
    inference(superposition,[status(thm)],[p9715,c150]) ).

cnf(p9730,plain,
    ( ~ spl24
    | ~ spl14
    | ~ spl1
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p9724,p190]) ).

cnf(p9735,plain,
    ( ~ spl24
    | ~ spl14
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9730]) ).

cnf(sct1082,plain,
    ( ~ spl24
    | ~ spl14
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9735]) ).

cnf(p9733,plain,
    ( ~ spl14
    | ~ spl1
    | sk9 = n6 ),
    inference(superposition,[status(thm)],[p9724,c152]) ).

cnf(p9739,plain,
    ( ~ spl25
    | ~ spl14
    | ~ spl1
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p9733,p191]) ).

cnf(p9744,plain,
    ( ~ spl25
    | ~ spl14
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9739]) ).

cnf(sct1083,plain,
    ( ~ spl25
    | ~ spl14
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9744]) ).

cnf(p9742,plain,
    ( ~ spl14
    | ~ spl1
    | sk11 = n2 ),
    inference(superposition,[status(thm)],[p9733,c154]) ).

cnf(p9748,plain,
    ( ~ spl26
    | ~ spl14
    | ~ spl1
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p9742,p192]) ).

cnf(p9753,plain,
    ( ~ spl26
    | ~ spl14
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9748]) ).

cnf(sct1084,plain,
    ( ~ spl26
    | ~ spl14
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9753]) ).

cnf(p9751,plain,
    ( ~ spl14
    | ~ spl1
    | sk13 = n8 ),
    inference(superposition,[status(thm)],[p9742,c156]) ).

cnf(p9757,plain,
    ( ~ spl27
    | ~ spl14
    | ~ spl1
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p9751,p193]) ).

cnf(p9762,plain,
    ( ~ spl27
    | ~ spl14
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9757]) ).

cnf(sct1085,plain,
    ( ~ spl27
    | ~ spl14
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9762]) ).

cnf(p9760,plain,
    ( ~ spl14
    | ~ spl1
    | sk15 = n10 ),
    inference(superposition,[status(thm)],[p9751,c158]) ).

cnf(p9766,plain,
    ( ~ spl28
    | ~ spl14
    | ~ spl1
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p9760,p194]) ).

cnf(p9771,plain,
    ( ~ spl28
    | ~ spl14
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9766]) ).

cnf(sct1086,plain,
    ( ~ spl28
    | ~ spl14
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9771]) ).

cnf(p9769,plain,
    ( ~ spl14
    | ~ spl1
    | sk17 = n7 ),
    inference(superposition,[status(thm)],[p9760,c160]) ).

cnf(p9775,plain,
    ( ~ spl29
    | ~ spl14
    | ~ spl1
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p9769,p195]) ).

cnf(p9780,plain,
    ( ~ spl29
    | ~ spl14
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9775]) ).

cnf(sct1087,plain,
    ( ~ spl29
    | ~ spl14
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9780]) ).

cnf(p9778,plain,
    ( ~ spl14
    | ~ spl1
    | sk19 = n6 ),
    inference(superposition,[status(thm)],[p9769,c162]) ).

cnf(p9784,plain,
    ( ~ spl30
    | ~ spl14
    | ~ spl1
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p9778,p196]) ).

cnf(p9789,plain,
    ( ~ spl30
    | ~ spl14
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9784]) ).

cnf(sct1088,plain,
    ( ~ spl30
    | ~ spl14
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9789]) ).

cnf(p9787,plain,
    ( ~ spl14
    | ~ spl1
    | sk21 = n2 ),
    inference(superposition,[status(thm)],[p9778,c164]) ).

cnf(p9791,plain,
    ( ~ spl31
    | ~ spl14
    | ~ spl1
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p9787,p197]) ).

cnf(p9792,plain,
    ( ~ spl31
    | ~ spl14
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9791]) ).

cnf(sct1089,plain,
    ( ~ spl31
    | ~ spl14
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9792]) ).

cnf(p9794,plain,
    ( ~ spl13
    | ~ spl1
    | sk3 = n6 ),
    inference(superposition,[status(thm)],[p158,p9104]) ).

cnf(p9798,plain,
    ( ~ spl22
    | ~ spl13
    | ~ spl1
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p9794,p188]) ).

cnf(p9803,plain,
    ( ~ spl22
    | ~ spl13
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9798]) ).

cnf(sct1090,plain,
    ( ~ spl22
    | ~ spl13
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9803]) ).

cnf(p9801,plain,
    ( ~ spl13
    | ~ spl1
    | sk5 = n2 ),
    inference(superposition,[status(thm)],[p9794,c148]) ).

cnf(p9807,plain,
    ( ~ spl23
    | ~ spl13
    | ~ spl1
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p9801,p189]) ).

cnf(p9812,plain,
    ( ~ spl23
    | ~ spl13
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9807]) ).

cnf(sct1091,plain,
    ( ~ spl23
    | ~ spl13
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9812]) ).

cnf(p9810,plain,
    ( ~ spl13
    | ~ spl1
    | sk7 = n8 ),
    inference(superposition,[status(thm)],[p9801,c150]) ).

cnf(p9816,plain,
    ( ~ spl24
    | ~ spl13
    | ~ spl1
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p9810,p190]) ).

cnf(p9821,plain,
    ( ~ spl24
    | ~ spl13
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9816]) ).

cnf(sct1092,plain,
    ( ~ spl24
    | ~ spl13
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9821]) ).

cnf(p9819,plain,
    ( ~ spl13
    | ~ spl1
    | sk9 = n10 ),
    inference(superposition,[status(thm)],[p9810,c152]) ).

cnf(p9825,plain,
    ( ~ spl25
    | ~ spl13
    | ~ spl1
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p9819,p191]) ).

cnf(p9830,plain,
    ( ~ spl25
    | ~ spl13
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9825]) ).

cnf(sct1093,plain,
    ( ~ spl25
    | ~ spl13
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9830]) ).

cnf(p9828,plain,
    ( ~ spl13
    | ~ spl1
    | sk11 = n7 ),
    inference(superposition,[status(thm)],[p9819,c154]) ).

cnf(p9834,plain,
    ( ~ spl26
    | ~ spl13
    | ~ spl1
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p9828,p192]) ).

cnf(p9839,plain,
    ( ~ spl26
    | ~ spl13
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9834]) ).

cnf(sct1094,plain,
    ( ~ spl26
    | ~ spl13
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9839]) ).

cnf(p9837,plain,
    ( ~ spl13
    | ~ spl1
    | sk13 = n6 ),
    inference(superposition,[status(thm)],[p9828,c156]) ).

cnf(p9843,plain,
    ( ~ spl27
    | ~ spl13
    | ~ spl1
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p9837,p193]) ).

cnf(p9848,plain,
    ( ~ spl27
    | ~ spl13
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9843]) ).

cnf(sct1095,plain,
    ( ~ spl27
    | ~ spl13
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9848]) ).

cnf(p9846,plain,
    ( ~ spl13
    | ~ spl1
    | sk15 = n2 ),
    inference(superposition,[status(thm)],[p9837,c158]) ).

cnf(p9852,plain,
    ( ~ spl28
    | ~ spl13
    | ~ spl1
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p9846,p194]) ).

cnf(p9857,plain,
    ( ~ spl28
    | ~ spl13
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9852]) ).

cnf(sct1096,plain,
    ( ~ spl28
    | ~ spl13
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9857]) ).

cnf(p9855,plain,
    ( ~ spl13
    | ~ spl1
    | sk17 = n8 ),
    inference(superposition,[status(thm)],[p9846,c160]) ).

cnf(p9861,plain,
    ( ~ spl29
    | ~ spl13
    | ~ spl1
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p9855,p195]) ).

cnf(p9866,plain,
    ( ~ spl29
    | ~ spl13
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9861]) ).

cnf(sct1097,plain,
    ( ~ spl29
    | ~ spl13
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9866]) ).

cnf(p9864,plain,
    ( ~ spl13
    | ~ spl1
    | sk19 = n10 ),
    inference(superposition,[status(thm)],[p9855,c162]) ).

cnf(p9870,plain,
    ( ~ spl30
    | ~ spl13
    | ~ spl1
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p9864,p196]) ).

cnf(p9875,plain,
    ( ~ spl30
    | ~ spl13
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9870]) ).

cnf(sct1098,plain,
    ( ~ spl30
    | ~ spl13
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9875]) ).

cnf(p9873,plain,
    ( ~ spl13
    | ~ spl1
    | sk21 = n7 ),
    inference(superposition,[status(thm)],[p9864,c164]) ).

cnf(p9877,plain,
    ( ~ spl31
    | ~ spl13
    | ~ spl1
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p9873,p197]) ).

cnf(p9878,plain,
    ( ~ spl31
    | ~ spl13
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9877]) ).

cnf(sct1099,plain,
    ( ~ spl31
    | ~ spl13
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9878]) ).

cnf(p9880,plain,
    ( ~ spl12
    | ~ spl1
    | sk3 = n4 ),
    inference(superposition,[status(thm)],[p157,p9104]) ).

cnf(p9884,plain,
    ( ~ spl22
    | ~ spl12
    | ~ spl1
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p9880,p188]) ).

cnf(p9889,plain,
    ( ~ spl22
    | ~ spl12
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9884]) ).

cnf(sct1100,plain,
    ( ~ spl22
    | ~ spl12
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9889]) ).

cnf(p9887,plain,
    ( ~ spl12
    | ~ spl1
    | sk5 = n5 ),
    inference(superposition,[status(thm)],[p9880,c148]) ).

cnf(p9893,plain,
    ( ~ spl23
    | ~ spl12
    | ~ spl1
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p9887,p189]) ).

cnf(p9898,plain,
    ( ~ spl23
    | ~ spl12
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9893]) ).

cnf(sct1101,plain,
    ( ~ spl23
    | ~ spl12
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9898]) ).

cnf(p9896,plain,
    ( ~ spl12
    | ~ spl1
    | sk7 = n9 ),
    inference(superposition,[status(thm)],[p9887,c150]) ).

cnf(p9902,plain,
    ( ~ spl24
    | ~ spl12
    | ~ spl1
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p9896,p190]) ).

cnf(p9907,plain,
    ( ~ spl24
    | ~ spl12
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9902]) ).

cnf(sct1102,plain,
    ( ~ spl24
    | ~ spl12
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9907]) ).

cnf(p9905,plain,
    ( ~ spl12
    | ~ spl1
    | sk9 = n3 ),
    inference(superposition,[status(thm)],[p9896,c152]) ).

cnf(p9911,plain,
    ( ~ spl25
    | ~ spl12
    | ~ spl1
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p9905,p191]) ).

cnf(p9916,plain,
    ( ~ spl25
    | ~ spl12
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9911]) ).

cnf(sct1103,plain,
    ( ~ spl25
    | ~ spl12
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9916]) ).

cnf(p9914,plain,
    ( ~ spl12
    | ~ spl1
    | sk11 = n1 ),
    inference(superposition,[status(thm)],[p9905,c154]) ).

cnf(p9920,plain,
    ( ~ spl26
    | ~ spl12
    | ~ spl1
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p9914,p192]) ).

cnf(p9925,plain,
    ( ~ spl26
    | ~ spl12
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9920]) ).

cnf(sct1104,plain,
    ( ~ spl26
    | ~ spl12
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9925]) ).

cnf(p9923,plain,
    ( ~ spl12
    | ~ spl1
    | sk13 = n4 ),
    inference(superposition,[status(thm)],[p9914,c156]) ).

cnf(p9929,plain,
    ( ~ spl27
    | ~ spl12
    | ~ spl1
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p9923,p193]) ).

cnf(p9934,plain,
    ( ~ spl27
    | ~ spl12
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9929]) ).

cnf(sct1105,plain,
    ( ~ spl27
    | ~ spl12
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9934]) ).

cnf(p9932,plain,
    ( ~ spl12
    | ~ spl1
    | sk15 = n5 ),
    inference(superposition,[status(thm)],[p9923,c158]) ).

cnf(p9938,plain,
    ( ~ spl28
    | ~ spl12
    | ~ spl1
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p9932,p194]) ).

cnf(p9943,plain,
    ( ~ spl28
    | ~ spl12
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9938]) ).

cnf(sct1106,plain,
    ( ~ spl28
    | ~ spl12
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9943]) ).

cnf(p9941,plain,
    ( ~ spl12
    | ~ spl1
    | sk17 = n9 ),
    inference(superposition,[status(thm)],[p9932,c160]) ).

cnf(p9947,plain,
    ( ~ spl29
    | ~ spl12
    | ~ spl1
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p9941,p195]) ).

cnf(p9952,plain,
    ( ~ spl29
    | ~ spl12
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9947]) ).

cnf(sct1107,plain,
    ( ~ spl29
    | ~ spl12
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9952]) ).

cnf(p9950,plain,
    ( ~ spl12
    | ~ spl1
    | sk19 = n3 ),
    inference(superposition,[status(thm)],[p9941,c162]) ).

cnf(p9956,plain,
    ( ~ spl30
    | ~ spl12
    | ~ spl1
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p9950,p196]) ).

cnf(p9961,plain,
    ( ~ spl30
    | ~ spl12
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9956]) ).

cnf(sct1108,plain,
    ( ~ spl30
    | ~ spl12
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9961]) ).

cnf(p9959,plain,
    ( ~ spl12
    | ~ spl1
    | sk21 = n1 ),
    inference(superposition,[status(thm)],[p9950,c164]) ).

cnf(p9963,plain,
    ( ~ spl31
    | ~ spl12
    | ~ spl1
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p9959,p197]) ).

cnf(p9964,plain,
    ( ~ spl31
    | ~ spl12
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9963]) ).

cnf(sct1109,plain,
    ( ~ spl31
    | ~ spl12
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9964]) ).

cnf(p9966,plain,
    ( ~ spl11
    | ~ spl1
    | sk3 = n2 ),
    inference(superposition,[status(thm)],[p156,p9104]) ).

cnf(p9970,plain,
    ( ~ spl22
    | ~ spl11
    | ~ spl1
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p9966,p188]) ).

cnf(p9975,plain,
    ( ~ spl22
    | ~ spl11
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9970]) ).

cnf(sct1110,plain,
    ( ~ spl22
    | ~ spl11
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9975]) ).

cnf(p9973,plain,
    ( ~ spl11
    | ~ spl1
    | sk5 = n8 ),
    inference(superposition,[status(thm)],[p9966,c148]) ).

cnf(p9979,plain,
    ( ~ spl23
    | ~ spl11
    | ~ spl1
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p9973,p189]) ).

cnf(p9984,plain,
    ( ~ spl23
    | ~ spl11
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9979]) ).

cnf(sct1111,plain,
    ( ~ spl23
    | ~ spl11
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9984]) ).

cnf(p9982,plain,
    ( ~ spl11
    | ~ spl1
    | sk7 = n10 ),
    inference(superposition,[status(thm)],[p9973,c150]) ).

cnf(p9988,plain,
    ( ~ spl24
    | ~ spl11
    | ~ spl1
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p9982,p190]) ).

cnf(p9993,plain,
    ( ~ spl24
    | ~ spl11
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9988]) ).

cnf(sct1112,plain,
    ( ~ spl24
    | ~ spl11
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p9993]) ).

cnf(p9991,plain,
    ( ~ spl11
    | ~ spl1
    | sk9 = n7 ),
    inference(superposition,[status(thm)],[p9982,c152]) ).

cnf(p9997,plain,
    ( ~ spl25
    | ~ spl11
    | ~ spl1
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p9991,p191]) ).

cnf(p10002,plain,
    ( ~ spl25
    | ~ spl11
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p9997]) ).

cnf(sct1113,plain,
    ( ~ spl25
    | ~ spl11
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10002]) ).

cnf(p10000,plain,
    ( ~ spl11
    | ~ spl1
    | sk11 = n6 ),
    inference(superposition,[status(thm)],[p9991,c154]) ).

cnf(p10006,plain,
    ( ~ spl26
    | ~ spl11
    | ~ spl1
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p10000,p192]) ).

cnf(p10011,plain,
    ( ~ spl26
    | ~ spl11
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p10006]) ).

cnf(sct1114,plain,
    ( ~ spl26
    | ~ spl11
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10011]) ).

cnf(p10009,plain,
    ( ~ spl11
    | ~ spl1
    | sk13 = n2 ),
    inference(superposition,[status(thm)],[p10000,c156]) ).

cnf(p10015,plain,
    ( ~ spl27
    | ~ spl11
    | ~ spl1
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p10009,p193]) ).

cnf(p10020,plain,
    ( ~ spl27
    | ~ spl11
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p10015]) ).

cnf(sct1115,plain,
    ( ~ spl27
    | ~ spl11
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10020]) ).

cnf(p10018,plain,
    ( ~ spl11
    | ~ spl1
    | sk15 = n8 ),
    inference(superposition,[status(thm)],[p10009,c158]) ).

cnf(p10024,plain,
    ( ~ spl28
    | ~ spl11
    | ~ spl1
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p10018,p194]) ).

cnf(p10029,plain,
    ( ~ spl28
    | ~ spl11
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p10024]) ).

cnf(sct1116,plain,
    ( ~ spl28
    | ~ spl11
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10029]) ).

cnf(p10027,plain,
    ( ~ spl11
    | ~ spl1
    | sk17 = n10 ),
    inference(superposition,[status(thm)],[p10018,c160]) ).

cnf(p10033,plain,
    ( ~ spl29
    | ~ spl11
    | ~ spl1
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p10027,p195]) ).

cnf(p10038,plain,
    ( ~ spl29
    | ~ spl11
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p10033]) ).

cnf(sct1117,plain,
    ( ~ spl29
    | ~ spl11
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10038]) ).

cnf(p10036,plain,
    ( ~ spl11
    | ~ spl1
    | sk19 = n7 ),
    inference(superposition,[status(thm)],[p10027,c162]) ).

cnf(p10042,plain,
    ( ~ spl30
    | ~ spl11
    | ~ spl1
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p10036,p196]) ).

cnf(p10047,plain,
    ( ~ spl30
    | ~ spl11
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p10042]) ).

cnf(sct1118,plain,
    ( ~ spl30
    | ~ spl11
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10047]) ).

cnf(p10045,plain,
    ( ~ spl11
    | ~ spl1
    | sk21 = n6 ),
    inference(superposition,[status(thm)],[p10036,c164]) ).

cnf(p10049,plain,
    ( ~ spl31
    | ~ spl11
    | ~ spl1
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p10045,p197]) ).

cnf(p10050,plain,
    ( ~ spl31
    | ~ spl11
    | ~ spl1
    | $false ),
    inference(equality_resolution,[status(thm)],[p10049]) ).

cnf(sct1119,plain,
    ( ~ spl31
    | ~ spl11
    | ~ spl1 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10050]) ).

cnf(p10053,plain,
    ( ~ spl20
    | ~ spl0
    | sk3 = n7 ),
    inference(superposition,[status(thm)],[p144,p585]) ).

cnf(p10055,plain,
    ( ~ spl22
    | ~ spl20
    | ~ spl0
    | sk2 != n7 ),
    inference(superposition,[status(thm)],[p10053,p188]) ).

cnf(p10054,plain,
    ( ~ spl20
    | ~ spl0
    | sk2 = n7 ),
    inference(superposition,[status(thm)],[p144,p582]) ).

cnf(p10063,plain,
    ( ~ spl22
    | ~ spl20
    | ~ spl0
    | $false ),
    inference(resolution,[status(thm)],[p10055,p10054]) ).

cnf(sct1120,plain,
    ( ~ spl22
    | ~ spl20
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10063]) ).

cnf(p10061,plain,
    ( ~ spl20
    | ~ spl0
    | sk5 = n6 ),
    inference(superposition,[status(thm)],[p10054,c148]) ).

cnf(p10067,plain,
    ( ~ spl23
    | ~ spl20
    | ~ spl0
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p10061,p189]) ).

cnf(p10072,plain,
    ( ~ spl23
    | ~ spl20
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10067]) ).

cnf(sct1121,plain,
    ( ~ spl23
    | ~ spl20
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10072]) ).

cnf(p10070,plain,
    ( ~ spl20
    | ~ spl0
    | sk7 = n2 ),
    inference(superposition,[status(thm)],[p10061,c150]) ).

cnf(p10076,plain,
    ( ~ spl24
    | ~ spl20
    | ~ spl0
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p10070,p190]) ).

cnf(p10081,plain,
    ( ~ spl24
    | ~ spl20
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10076]) ).

cnf(sct1122,plain,
    ( ~ spl24
    | ~ spl20
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10081]) ).

cnf(p10079,plain,
    ( ~ spl20
    | ~ spl0
    | sk9 = n8 ),
    inference(superposition,[status(thm)],[p10070,c152]) ).

cnf(p10085,plain,
    ( ~ spl25
    | ~ spl20
    | ~ spl0
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p10079,p191]) ).

cnf(p10090,plain,
    ( ~ spl25
    | ~ spl20
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10085]) ).

cnf(sct1123,plain,
    ( ~ spl25
    | ~ spl20
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10090]) ).

cnf(p10088,plain,
    ( ~ spl20
    | ~ spl0
    | sk11 = n10 ),
    inference(superposition,[status(thm)],[p10079,c154]) ).

cnf(p10094,plain,
    ( ~ spl26
    | ~ spl20
    | ~ spl0
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p10088,p192]) ).

cnf(p10099,plain,
    ( ~ spl26
    | ~ spl20
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10094]) ).

cnf(sct1124,plain,
    ( ~ spl26
    | ~ spl20
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10099]) ).

cnf(p10097,plain,
    ( ~ spl20
    | ~ spl0
    | sk13 = n7 ),
    inference(superposition,[status(thm)],[p10088,c156]) ).

cnf(p10103,plain,
    ( ~ spl27
    | ~ spl20
    | ~ spl0
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p10097,p193]) ).

cnf(p10108,plain,
    ( ~ spl27
    | ~ spl20
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10103]) ).

cnf(sct1125,plain,
    ( ~ spl27
    | ~ spl20
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10108]) ).

cnf(p10106,plain,
    ( ~ spl20
    | ~ spl0
    | sk15 = n6 ),
    inference(superposition,[status(thm)],[p10097,c158]) ).

cnf(p10112,plain,
    ( ~ spl28
    | ~ spl20
    | ~ spl0
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p10106,p194]) ).

cnf(p10117,plain,
    ( ~ spl28
    | ~ spl20
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10112]) ).

cnf(sct1126,plain,
    ( ~ spl28
    | ~ spl20
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10117]) ).

cnf(p10115,plain,
    ( ~ spl20
    | ~ spl0
    | sk17 = n2 ),
    inference(superposition,[status(thm)],[p10106,c160]) ).

cnf(p10121,plain,
    ( ~ spl29
    | ~ spl20
    | ~ spl0
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p10115,p195]) ).

cnf(p10126,plain,
    ( ~ spl29
    | ~ spl20
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10121]) ).

cnf(sct1127,plain,
    ( ~ spl29
    | ~ spl20
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10126]) ).

cnf(p10124,plain,
    ( ~ spl20
    | ~ spl0
    | sk19 = n8 ),
    inference(superposition,[status(thm)],[p10115,c162]) ).

cnf(p10130,plain,
    ( ~ spl30
    | ~ spl20
    | ~ spl0
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p10124,p196]) ).

cnf(p10135,plain,
    ( ~ spl30
    | ~ spl20
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10130]) ).

cnf(sct1128,plain,
    ( ~ spl30
    | ~ spl20
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10135]) ).

cnf(p10133,plain,
    ( ~ spl20
    | ~ spl0
    | sk21 = n10 ),
    inference(superposition,[status(thm)],[p10124,c164]) ).

cnf(p10137,plain,
    ( ~ spl31
    | ~ spl20
    | ~ spl0
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p10133,p197]) ).

cnf(p10138,plain,
    ( ~ spl31
    | ~ spl20
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10137]) ).

cnf(sct1129,plain,
    ( ~ spl31
    | ~ spl20
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10138]) ).

cnf(p10052,plain,
    ( ~ spl0
    | sk3 = sum(n0,sum(pred(sk1),succ(sk1))) ),
    inference(superposition,[status(thm)],[p144,c146]) ).

cnf(p10140,plain,
    ( ~ spl21
    | ~ spl0
    | sk3 = n9 ),
    inference(superposition,[status(thm)],[p166,p10052]) ).

cnf(p10144,plain,
    ( ~ spl22
    | ~ spl21
    | ~ spl0
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p10140,p188]) ).

cnf(p10149,plain,
    ( ~ spl22
    | ~ spl21
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10144]) ).

cnf(sct1130,plain,
    ( ~ spl22
    | ~ spl21
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10149]) ).

cnf(p10147,plain,
    ( ~ spl21
    | ~ spl0
    | sk5 = n3 ),
    inference(superposition,[status(thm)],[p10140,c148]) ).

cnf(p10153,plain,
    ( ~ spl23
    | ~ spl21
    | ~ spl0
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p10147,p189]) ).

cnf(p10158,plain,
    ( ~ spl23
    | ~ spl21
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10153]) ).

cnf(sct1131,plain,
    ( ~ spl23
    | ~ spl21
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10158]) ).

cnf(p10156,plain,
    ( ~ spl21
    | ~ spl0
    | sk7 = n1 ),
    inference(superposition,[status(thm)],[p10147,c150]) ).

cnf(p10162,plain,
    ( ~ spl24
    | ~ spl21
    | ~ spl0
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p10156,p190]) ).

cnf(p10167,plain,
    ( ~ spl24
    | ~ spl21
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10162]) ).

cnf(sct1132,plain,
    ( ~ spl24
    | ~ spl21
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10167]) ).

cnf(p10165,plain,
    ( ~ spl21
    | ~ spl0
    | sk9 = n4 ),
    inference(superposition,[status(thm)],[p10156,c152]) ).

cnf(p10171,plain,
    ( ~ spl25
    | ~ spl21
    | ~ spl0
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p10165,p191]) ).

cnf(p10176,plain,
    ( ~ spl25
    | ~ spl21
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10171]) ).

cnf(sct1133,plain,
    ( ~ spl25
    | ~ spl21
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10176]) ).

cnf(p10174,plain,
    ( ~ spl21
    | ~ spl0
    | sk11 = n5 ),
    inference(superposition,[status(thm)],[p10165,c154]) ).

cnf(p10180,plain,
    ( ~ spl26
    | ~ spl21
    | ~ spl0
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p10174,p192]) ).

cnf(p10185,plain,
    ( ~ spl26
    | ~ spl21
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10180]) ).

cnf(sct1134,plain,
    ( ~ spl26
    | ~ spl21
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10185]) ).

cnf(p10183,plain,
    ( ~ spl21
    | ~ spl0
    | sk13 = n9 ),
    inference(superposition,[status(thm)],[p10174,c156]) ).

cnf(p10189,plain,
    ( ~ spl27
    | ~ spl21
    | ~ spl0
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p10183,p193]) ).

cnf(p10194,plain,
    ( ~ spl27
    | ~ spl21
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10189]) ).

cnf(sct1135,plain,
    ( ~ spl27
    | ~ spl21
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10194]) ).

cnf(p10192,plain,
    ( ~ spl21
    | ~ spl0
    | sk15 = n3 ),
    inference(superposition,[status(thm)],[p10183,c158]) ).

cnf(p10198,plain,
    ( ~ spl28
    | ~ spl21
    | ~ spl0
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p10192,p194]) ).

cnf(p10203,plain,
    ( ~ spl28
    | ~ spl21
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10198]) ).

cnf(sct1136,plain,
    ( ~ spl28
    | ~ spl21
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10203]) ).

cnf(p10201,plain,
    ( ~ spl21
    | ~ spl0
    | sk17 = n1 ),
    inference(superposition,[status(thm)],[p10192,c160]) ).

cnf(p10207,plain,
    ( ~ spl29
    | ~ spl21
    | ~ spl0
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p10201,p195]) ).

cnf(p10212,plain,
    ( ~ spl29
    | ~ spl21
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10207]) ).

cnf(sct1137,plain,
    ( ~ spl29
    | ~ spl21
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10212]) ).

cnf(p10210,plain,
    ( ~ spl21
    | ~ spl0
    | sk19 = n4 ),
    inference(superposition,[status(thm)],[p10201,c162]) ).

cnf(p10216,plain,
    ( ~ spl30
    | ~ spl21
    | ~ spl0
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p10210,p196]) ).

cnf(p10221,plain,
    ( ~ spl30
    | ~ spl21
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10216]) ).

cnf(sct1138,plain,
    ( ~ spl30
    | ~ spl21
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10221]) ).

cnf(p10219,plain,
    ( ~ spl21
    | ~ spl0
    | sk21 = n5 ),
    inference(superposition,[status(thm)],[p10210,c164]) ).

cnf(p10223,plain,
    ( ~ spl31
    | ~ spl21
    | ~ spl0
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p10219,p197]) ).

cnf(p10224,plain,
    ( ~ spl31
    | ~ spl21
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10223]) ).

cnf(sct1139,plain,
    ( ~ spl31
    | ~ spl21
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10224]) ).

cnf(p10226,plain,
    ( ~ spl19
    | ~ spl0
    | sk3 = n5 ),
    inference(superposition,[status(thm)],[p164,p10052]) ).

cnf(p10230,plain,
    ( ~ spl22
    | ~ spl19
    | ~ spl0
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p10226,p188]) ).

cnf(p10235,plain,
    ( ~ spl22
    | ~ spl19
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10230]) ).

cnf(sct1140,plain,
    ( ~ spl22
    | ~ spl19
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10235]) ).

cnf(p10233,plain,
    ( ~ spl19
    | ~ spl0
    | sk5 = n9 ),
    inference(superposition,[status(thm)],[p10226,c148]) ).

cnf(p10239,plain,
    ( ~ spl23
    | ~ spl19
    | ~ spl0
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p10233,p189]) ).

cnf(p10244,plain,
    ( ~ spl23
    | ~ spl19
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10239]) ).

cnf(sct1141,plain,
    ( ~ spl23
    | ~ spl19
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10244]) ).

cnf(p10242,plain,
    ( ~ spl19
    | ~ spl0
    | sk7 = n3 ),
    inference(superposition,[status(thm)],[p10233,c150]) ).

cnf(p10248,plain,
    ( ~ spl24
    | ~ spl19
    | ~ spl0
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p10242,p190]) ).

cnf(p10253,plain,
    ( ~ spl24
    | ~ spl19
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10248]) ).

cnf(sct1142,plain,
    ( ~ spl24
    | ~ spl19
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10253]) ).

cnf(p10251,plain,
    ( ~ spl19
    | ~ spl0
    | sk9 = n1 ),
    inference(superposition,[status(thm)],[p10242,c152]) ).

cnf(p10257,plain,
    ( ~ spl25
    | ~ spl19
    | ~ spl0
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p10251,p191]) ).

cnf(p10262,plain,
    ( ~ spl25
    | ~ spl19
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10257]) ).

cnf(sct1143,plain,
    ( ~ spl25
    | ~ spl19
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10262]) ).

cnf(p10260,plain,
    ( ~ spl19
    | ~ spl0
    | sk11 = n4 ),
    inference(superposition,[status(thm)],[p10251,c154]) ).

cnf(p10266,plain,
    ( ~ spl26
    | ~ spl19
    | ~ spl0
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p10260,p192]) ).

cnf(p10271,plain,
    ( ~ spl26
    | ~ spl19
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10266]) ).

cnf(sct1144,plain,
    ( ~ spl26
    | ~ spl19
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10271]) ).

cnf(p10269,plain,
    ( ~ spl19
    | ~ spl0
    | sk13 = n5 ),
    inference(superposition,[status(thm)],[p10260,c156]) ).

cnf(p10275,plain,
    ( ~ spl27
    | ~ spl19
    | ~ spl0
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p10269,p193]) ).

cnf(p10280,plain,
    ( ~ spl27
    | ~ spl19
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10275]) ).

cnf(sct1145,plain,
    ( ~ spl27
    | ~ spl19
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10280]) ).

cnf(p10278,plain,
    ( ~ spl19
    | ~ spl0
    | sk15 = n9 ),
    inference(superposition,[status(thm)],[p10269,c158]) ).

cnf(p10284,plain,
    ( ~ spl28
    | ~ spl19
    | ~ spl0
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p10278,p194]) ).

cnf(p10289,plain,
    ( ~ spl28
    | ~ spl19
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10284]) ).

cnf(sct1146,plain,
    ( ~ spl28
    | ~ spl19
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10289]) ).

cnf(p10287,plain,
    ( ~ spl19
    | ~ spl0
    | sk17 = n3 ),
    inference(superposition,[status(thm)],[p10278,c160]) ).

cnf(p10293,plain,
    ( ~ spl29
    | ~ spl19
    | ~ spl0
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p10287,p195]) ).

cnf(p10298,plain,
    ( ~ spl29
    | ~ spl19
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10293]) ).

cnf(sct1147,plain,
    ( ~ spl29
    | ~ spl19
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10298]) ).

cnf(p10296,plain,
    ( ~ spl19
    | ~ spl0
    | sk19 = n1 ),
    inference(superposition,[status(thm)],[p10287,c162]) ).

cnf(p10302,plain,
    ( ~ spl30
    | ~ spl19
    | ~ spl0
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p10296,p196]) ).

cnf(p10307,plain,
    ( ~ spl30
    | ~ spl19
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10302]) ).

cnf(sct1148,plain,
    ( ~ spl30
    | ~ spl19
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10307]) ).

cnf(p10305,plain,
    ( ~ spl19
    | ~ spl0
    | sk21 = n4 ),
    inference(superposition,[status(thm)],[p10296,c164]) ).

cnf(p10309,plain,
    ( ~ spl31
    | ~ spl19
    | ~ spl0
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p10305,p197]) ).

cnf(p10310,plain,
    ( ~ spl31
    | ~ spl19
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10309]) ).

cnf(sct1149,plain,
    ( ~ spl31
    | ~ spl19
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10310]) ).

cnf(p10312,plain,
    ( ~ spl18
    | ~ spl0
    | sk3 = n3 ),
    inference(superposition,[status(thm)],[p163,p10052]) ).

cnf(p10316,plain,
    ( ~ spl22
    | ~ spl18
    | ~ spl0
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p10312,p188]) ).

cnf(p10321,plain,
    ( ~ spl22
    | ~ spl18
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10316]) ).

cnf(sct1150,plain,
    ( ~ spl22
    | ~ spl18
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10321]) ).

cnf(p10319,plain,
    ( ~ spl18
    | ~ spl0
    | sk5 = n1 ),
    inference(superposition,[status(thm)],[p10312,c148]) ).

cnf(p10325,plain,
    ( ~ spl23
    | ~ spl18
    | ~ spl0
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p10319,p189]) ).

cnf(p10330,plain,
    ( ~ spl23
    | ~ spl18
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10325]) ).

cnf(sct1151,plain,
    ( ~ spl23
    | ~ spl18
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10330]) ).

cnf(p10328,plain,
    ( ~ spl18
    | ~ spl0
    | sk7 = n4 ),
    inference(superposition,[status(thm)],[p10319,c150]) ).

cnf(p10334,plain,
    ( ~ spl24
    | ~ spl18
    | ~ spl0
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p10328,p190]) ).

cnf(p10339,plain,
    ( ~ spl24
    | ~ spl18
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10334]) ).

cnf(sct1152,plain,
    ( ~ spl24
    | ~ spl18
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10339]) ).

cnf(p10337,plain,
    ( ~ spl18
    | ~ spl0
    | sk9 = n5 ),
    inference(superposition,[status(thm)],[p10328,c152]) ).

cnf(p10343,plain,
    ( ~ spl25
    | ~ spl18
    | ~ spl0
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p10337,p191]) ).

cnf(p10348,plain,
    ( ~ spl25
    | ~ spl18
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10343]) ).

cnf(sct1153,plain,
    ( ~ spl25
    | ~ spl18
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10348]) ).

cnf(p10346,plain,
    ( ~ spl18
    | ~ spl0
    | sk11 = n9 ),
    inference(superposition,[status(thm)],[p10337,c154]) ).

cnf(p10352,plain,
    ( ~ spl26
    | ~ spl18
    | ~ spl0
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p10346,p192]) ).

cnf(p10357,plain,
    ( ~ spl26
    | ~ spl18
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10352]) ).

cnf(sct1154,plain,
    ( ~ spl26
    | ~ spl18
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10357]) ).

cnf(p10355,plain,
    ( ~ spl18
    | ~ spl0
    | sk13 = n3 ),
    inference(superposition,[status(thm)],[p10346,c156]) ).

cnf(p10361,plain,
    ( ~ spl27
    | ~ spl18
    | ~ spl0
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p10355,p193]) ).

cnf(p10366,plain,
    ( ~ spl27
    | ~ spl18
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10361]) ).

cnf(sct1155,plain,
    ( ~ spl27
    | ~ spl18
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10366]) ).

cnf(p10364,plain,
    ( ~ spl18
    | ~ spl0
    | sk15 = n1 ),
    inference(superposition,[status(thm)],[p10355,c158]) ).

cnf(p10370,plain,
    ( ~ spl28
    | ~ spl18
    | ~ spl0
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p10364,p194]) ).

cnf(p10375,plain,
    ( ~ spl28
    | ~ spl18
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10370]) ).

cnf(sct1156,plain,
    ( ~ spl28
    | ~ spl18
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10375]) ).

cnf(p10373,plain,
    ( ~ spl18
    | ~ spl0
    | sk17 = n4 ),
    inference(superposition,[status(thm)],[p10364,c160]) ).

cnf(p10379,plain,
    ( ~ spl29
    | ~ spl18
    | ~ spl0
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p10373,p195]) ).

cnf(p10384,plain,
    ( ~ spl29
    | ~ spl18
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10379]) ).

cnf(sct1157,plain,
    ( ~ spl29
    | ~ spl18
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10384]) ).

cnf(p10382,plain,
    ( ~ spl18
    | ~ spl0
    | sk19 = n5 ),
    inference(superposition,[status(thm)],[p10373,c162]) ).

cnf(p10388,plain,
    ( ~ spl30
    | ~ spl18
    | ~ spl0
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p10382,p196]) ).

cnf(p10393,plain,
    ( ~ spl30
    | ~ spl18
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10388]) ).

cnf(sct1158,plain,
    ( ~ spl30
    | ~ spl18
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10393]) ).

cnf(p10391,plain,
    ( ~ spl18
    | ~ spl0
    | sk21 = n9 ),
    inference(superposition,[status(thm)],[p10382,c164]) ).

cnf(p10395,plain,
    ( ~ spl31
    | ~ spl18
    | ~ spl0
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p10391,p197]) ).

cnf(p10396,plain,
    ( ~ spl31
    | ~ spl18
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10395]) ).

cnf(sct1159,plain,
    ( ~ spl31
    | ~ spl18
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10396]) ).

cnf(p10398,plain,
    ( ~ spl17
    | ~ spl0
    | sk3 = n1 ),
    inference(superposition,[status(thm)],[p162,p10052]) ).

cnf(p10402,plain,
    ( ~ spl22
    | ~ spl17
    | ~ spl0
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p10398,p188]) ).

cnf(p10407,plain,
    ( ~ spl22
    | ~ spl17
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10402]) ).

cnf(sct1160,plain,
    ( ~ spl22
    | ~ spl17
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10407]) ).

cnf(p10405,plain,
    ( ~ spl17
    | ~ spl0
    | sk5 = n4 ),
    inference(superposition,[status(thm)],[p10398,c148]) ).

cnf(p10411,plain,
    ( ~ spl23
    | ~ spl17
    | ~ spl0
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p10405,p189]) ).

cnf(p10416,plain,
    ( ~ spl23
    | ~ spl17
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10411]) ).

cnf(sct1161,plain,
    ( ~ spl23
    | ~ spl17
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10416]) ).

cnf(p10414,plain,
    ( ~ spl17
    | ~ spl0
    | sk7 = n5 ),
    inference(superposition,[status(thm)],[p10405,c150]) ).

cnf(p10420,plain,
    ( ~ spl24
    | ~ spl17
    | ~ spl0
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p10414,p190]) ).

cnf(p10425,plain,
    ( ~ spl24
    | ~ spl17
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10420]) ).

cnf(sct1162,plain,
    ( ~ spl24
    | ~ spl17
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10425]) ).

cnf(p10423,plain,
    ( ~ spl17
    | ~ spl0
    | sk9 = n9 ),
    inference(superposition,[status(thm)],[p10414,c152]) ).

cnf(p10429,plain,
    ( ~ spl25
    | ~ spl17
    | ~ spl0
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p10423,p191]) ).

cnf(p10434,plain,
    ( ~ spl25
    | ~ spl17
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10429]) ).

cnf(sct1163,plain,
    ( ~ spl25
    | ~ spl17
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10434]) ).

cnf(p10432,plain,
    ( ~ spl17
    | ~ spl0
    | sk11 = n3 ),
    inference(superposition,[status(thm)],[p10423,c154]) ).

cnf(p10438,plain,
    ( ~ spl26
    | ~ spl17
    | ~ spl0
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p10432,p192]) ).

cnf(p10443,plain,
    ( ~ spl26
    | ~ spl17
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10438]) ).

cnf(sct1164,plain,
    ( ~ spl26
    | ~ spl17
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10443]) ).

cnf(p10441,plain,
    ( ~ spl17
    | ~ spl0
    | sk13 = n1 ),
    inference(superposition,[status(thm)],[p10432,c156]) ).

cnf(p10447,plain,
    ( ~ spl27
    | ~ spl17
    | ~ spl0
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p10441,p193]) ).

cnf(p10452,plain,
    ( ~ spl27
    | ~ spl17
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10447]) ).

cnf(sct1165,plain,
    ( ~ spl27
    | ~ spl17
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10452]) ).

cnf(p10450,plain,
    ( ~ spl17
    | ~ spl0
    | sk15 = n4 ),
    inference(superposition,[status(thm)],[p10441,c158]) ).

cnf(p10456,plain,
    ( ~ spl28
    | ~ spl17
    | ~ spl0
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p10450,p194]) ).

cnf(p10461,plain,
    ( ~ spl28
    | ~ spl17
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10456]) ).

cnf(sct1166,plain,
    ( ~ spl28
    | ~ spl17
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10461]) ).

cnf(p10459,plain,
    ( ~ spl17
    | ~ spl0
    | sk17 = n5 ),
    inference(superposition,[status(thm)],[p10450,c160]) ).

cnf(p10465,plain,
    ( ~ spl29
    | ~ spl17
    | ~ spl0
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p10459,p195]) ).

cnf(p10470,plain,
    ( ~ spl29
    | ~ spl17
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10465]) ).

cnf(sct1167,plain,
    ( ~ spl29
    | ~ spl17
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10470]) ).

cnf(p10468,plain,
    ( ~ spl17
    | ~ spl0
    | sk19 = n9 ),
    inference(superposition,[status(thm)],[p10459,c162]) ).

cnf(p10474,plain,
    ( ~ spl30
    | ~ spl17
    | ~ spl0
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p10468,p196]) ).

cnf(p10479,plain,
    ( ~ spl30
    | ~ spl17
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10474]) ).

cnf(sct1168,plain,
    ( ~ spl30
    | ~ spl17
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10479]) ).

cnf(p10477,plain,
    ( ~ spl17
    | ~ spl0
    | sk21 = n3 ),
    inference(superposition,[status(thm)],[p10468,c164]) ).

cnf(p10481,plain,
    ( ~ spl31
    | ~ spl17
    | ~ spl0
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p10477,p197]) ).

cnf(p10482,plain,
    ( ~ spl31
    | ~ spl17
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10481]) ).

cnf(sct1169,plain,
    ( ~ spl31
    | ~ spl17
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10482]) ).

cnf(p10484,plain,
    ( ~ spl16
    | ~ spl0
    | sk3 = n10 ),
    inference(superposition,[status(thm)],[p161,p10052]) ).

cnf(p10488,plain,
    ( ~ spl22
    | ~ spl16
    | ~ spl0
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p10484,p188]) ).

cnf(p10493,plain,
    ( ~ spl22
    | ~ spl16
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10488]) ).

cnf(sct1170,plain,
    ( ~ spl22
    | ~ spl16
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10493]) ).

cnf(p10491,plain,
    ( ~ spl16
    | ~ spl0
    | sk5 = n7 ),
    inference(superposition,[status(thm)],[p10484,c148]) ).

cnf(p10497,plain,
    ( ~ spl23
    | ~ spl16
    | ~ spl0
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p10491,p189]) ).

cnf(p10502,plain,
    ( ~ spl23
    | ~ spl16
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10497]) ).

cnf(sct1171,plain,
    ( ~ spl23
    | ~ spl16
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10502]) ).

cnf(p10500,plain,
    ( ~ spl16
    | ~ spl0
    | sk7 = n6 ),
    inference(superposition,[status(thm)],[p10491,c150]) ).

cnf(p10506,plain,
    ( ~ spl24
    | ~ spl16
    | ~ spl0
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p10500,p190]) ).

cnf(p10511,plain,
    ( ~ spl24
    | ~ spl16
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10506]) ).

cnf(sct1172,plain,
    ( ~ spl24
    | ~ spl16
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10511]) ).

cnf(p10509,plain,
    ( ~ spl16
    | ~ spl0
    | sk9 = n2 ),
    inference(superposition,[status(thm)],[p10500,c152]) ).

cnf(p10515,plain,
    ( ~ spl25
    | ~ spl16
    | ~ spl0
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p10509,p191]) ).

cnf(p10520,plain,
    ( ~ spl25
    | ~ spl16
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10515]) ).

cnf(sct1173,plain,
    ( ~ spl25
    | ~ spl16
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10520]) ).

cnf(p10518,plain,
    ( ~ spl16
    | ~ spl0
    | sk11 = n8 ),
    inference(superposition,[status(thm)],[p10509,c154]) ).

cnf(p10524,plain,
    ( ~ spl26
    | ~ spl16
    | ~ spl0
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p10518,p192]) ).

cnf(p10529,plain,
    ( ~ spl26
    | ~ spl16
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10524]) ).

cnf(sct1174,plain,
    ( ~ spl26
    | ~ spl16
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10529]) ).

cnf(p10527,plain,
    ( ~ spl16
    | ~ spl0
    | sk13 = n10 ),
    inference(superposition,[status(thm)],[p10518,c156]) ).

cnf(p10533,plain,
    ( ~ spl27
    | ~ spl16
    | ~ spl0
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p10527,p193]) ).

cnf(p10538,plain,
    ( ~ spl27
    | ~ spl16
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10533]) ).

cnf(sct1175,plain,
    ( ~ spl27
    | ~ spl16
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10538]) ).

cnf(p10536,plain,
    ( ~ spl16
    | ~ spl0
    | sk15 = n7 ),
    inference(superposition,[status(thm)],[p10527,c158]) ).

cnf(p10542,plain,
    ( ~ spl28
    | ~ spl16
    | ~ spl0
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p10536,p194]) ).

cnf(p10547,plain,
    ( ~ spl28
    | ~ spl16
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10542]) ).

cnf(sct1176,plain,
    ( ~ spl28
    | ~ spl16
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10547]) ).

cnf(p10545,plain,
    ( ~ spl16
    | ~ spl0
    | sk17 = n6 ),
    inference(superposition,[status(thm)],[p10536,c160]) ).

cnf(p10551,plain,
    ( ~ spl29
    | ~ spl16
    | ~ spl0
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p10545,p195]) ).

cnf(p10556,plain,
    ( ~ spl29
    | ~ spl16
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10551]) ).

cnf(sct1177,plain,
    ( ~ spl29
    | ~ spl16
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10556]) ).

cnf(p10554,plain,
    ( ~ spl16
    | ~ spl0
    | sk19 = n2 ),
    inference(superposition,[status(thm)],[p10545,c162]) ).

cnf(p10560,plain,
    ( ~ spl30
    | ~ spl16
    | ~ spl0
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p10554,p196]) ).

cnf(p10565,plain,
    ( ~ spl30
    | ~ spl16
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10560]) ).

cnf(sct1178,plain,
    ( ~ spl30
    | ~ spl16
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10565]) ).

cnf(p10563,plain,
    ( ~ spl16
    | ~ spl0
    | sk21 = n8 ),
    inference(superposition,[status(thm)],[p10554,c164]) ).

cnf(p10567,plain,
    ( ~ spl31
    | ~ spl16
    | ~ spl0
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p10563,p197]) ).

cnf(p10568,plain,
    ( ~ spl31
    | ~ spl16
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10567]) ).

cnf(sct1179,plain,
    ( ~ spl31
    | ~ spl16
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10568]) ).

cnf(p10570,plain,
    ( ~ spl15
    | ~ spl0
    | sk3 = n8 ),
    inference(superposition,[status(thm)],[p160,p10052]) ).

cnf(p10574,plain,
    ( ~ spl22
    | ~ spl15
    | ~ spl0
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p10570,p188]) ).

cnf(p10579,plain,
    ( ~ spl22
    | ~ spl15
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10574]) ).

cnf(sct1180,plain,
    ( ~ spl22
    | ~ spl15
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10579]) ).

cnf(p10577,plain,
    ( ~ spl15
    | ~ spl0
    | sk5 = n10 ),
    inference(superposition,[status(thm)],[p10570,c148]) ).

cnf(p10583,plain,
    ( ~ spl23
    | ~ spl15
    | ~ spl0
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p10577,p189]) ).

cnf(p10588,plain,
    ( ~ spl23
    | ~ spl15
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10583]) ).

cnf(sct1181,plain,
    ( ~ spl23
    | ~ spl15
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10588]) ).

cnf(p10586,plain,
    ( ~ spl15
    | ~ spl0
    | sk7 = n7 ),
    inference(superposition,[status(thm)],[p10577,c150]) ).

cnf(p10592,plain,
    ( ~ spl24
    | ~ spl15
    | ~ spl0
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p10586,p190]) ).

cnf(p10597,plain,
    ( ~ spl24
    | ~ spl15
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10592]) ).

cnf(sct1182,plain,
    ( ~ spl24
    | ~ spl15
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10597]) ).

cnf(p10595,plain,
    ( ~ spl15
    | ~ spl0
    | sk9 = n6 ),
    inference(superposition,[status(thm)],[p10586,c152]) ).

cnf(p10601,plain,
    ( ~ spl25
    | ~ spl15
    | ~ spl0
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p10595,p191]) ).

cnf(p10606,plain,
    ( ~ spl25
    | ~ spl15
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10601]) ).

cnf(sct1183,plain,
    ( ~ spl25
    | ~ spl15
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10606]) ).

cnf(p10604,plain,
    ( ~ spl15
    | ~ spl0
    | sk11 = n2 ),
    inference(superposition,[status(thm)],[p10595,c154]) ).

cnf(p10610,plain,
    ( ~ spl26
    | ~ spl15
    | ~ spl0
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p10604,p192]) ).

cnf(p10615,plain,
    ( ~ spl26
    | ~ spl15
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10610]) ).

cnf(sct1184,plain,
    ( ~ spl26
    | ~ spl15
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10615]) ).

cnf(p10613,plain,
    ( ~ spl15
    | ~ spl0
    | sk13 = n8 ),
    inference(superposition,[status(thm)],[p10604,c156]) ).

cnf(p10619,plain,
    ( ~ spl27
    | ~ spl15
    | ~ spl0
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p10613,p193]) ).

cnf(p10624,plain,
    ( ~ spl27
    | ~ spl15
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10619]) ).

cnf(sct1185,plain,
    ( ~ spl27
    | ~ spl15
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10624]) ).

cnf(p10622,plain,
    ( ~ spl15
    | ~ spl0
    | sk15 = n10 ),
    inference(superposition,[status(thm)],[p10613,c158]) ).

cnf(p10628,plain,
    ( ~ spl28
    | ~ spl15
    | ~ spl0
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p10622,p194]) ).

cnf(p10633,plain,
    ( ~ spl28
    | ~ spl15
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10628]) ).

cnf(sct1186,plain,
    ( ~ spl28
    | ~ spl15
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10633]) ).

cnf(p10631,plain,
    ( ~ spl15
    | ~ spl0
    | sk17 = n7 ),
    inference(superposition,[status(thm)],[p10622,c160]) ).

cnf(p10637,plain,
    ( ~ spl29
    | ~ spl15
    | ~ spl0
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p10631,p195]) ).

cnf(p10642,plain,
    ( ~ spl29
    | ~ spl15
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10637]) ).

cnf(sct1187,plain,
    ( ~ spl29
    | ~ spl15
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10642]) ).

cnf(p10640,plain,
    ( ~ spl15
    | ~ spl0
    | sk19 = n6 ),
    inference(superposition,[status(thm)],[p10631,c162]) ).

cnf(p10646,plain,
    ( ~ spl30
    | ~ spl15
    | ~ spl0
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p10640,p196]) ).

cnf(p10651,plain,
    ( ~ spl30
    | ~ spl15
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10646]) ).

cnf(sct1188,plain,
    ( ~ spl30
    | ~ spl15
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10651]) ).

cnf(p10649,plain,
    ( ~ spl15
    | ~ spl0
    | sk21 = n2 ),
    inference(superposition,[status(thm)],[p10640,c164]) ).

cnf(p10653,plain,
    ( ~ spl31
    | ~ spl15
    | ~ spl0
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p10649,p197]) ).

cnf(p10654,plain,
    ( ~ spl31
    | ~ spl15
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10653]) ).

cnf(sct1189,plain,
    ( ~ spl31
    | ~ spl15
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10654]) ).

cnf(p10656,plain,
    ( ~ spl14
    | ~ spl0
    | sk3 = n6 ),
    inference(superposition,[status(thm)],[p159,p10052]) ).

cnf(p10660,plain,
    ( ~ spl22
    | ~ spl14
    | ~ spl0
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p10656,p188]) ).

cnf(p10665,plain,
    ( ~ spl22
    | ~ spl14
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10660]) ).

cnf(sct1190,plain,
    ( ~ spl22
    | ~ spl14
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10665]) ).

cnf(p10663,plain,
    ( ~ spl14
    | ~ spl0
    | sk5 = n2 ),
    inference(superposition,[status(thm)],[p10656,c148]) ).

cnf(p10669,plain,
    ( ~ spl23
    | ~ spl14
    | ~ spl0
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p10663,p189]) ).

cnf(p10674,plain,
    ( ~ spl23
    | ~ spl14
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10669]) ).

cnf(sct1191,plain,
    ( ~ spl23
    | ~ spl14
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10674]) ).

cnf(p10672,plain,
    ( ~ spl14
    | ~ spl0
    | sk7 = n8 ),
    inference(superposition,[status(thm)],[p10663,c150]) ).

cnf(p10678,plain,
    ( ~ spl24
    | ~ spl14
    | ~ spl0
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p10672,p190]) ).

cnf(p10683,plain,
    ( ~ spl24
    | ~ spl14
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10678]) ).

cnf(sct1192,plain,
    ( ~ spl24
    | ~ spl14
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10683]) ).

cnf(p10681,plain,
    ( ~ spl14
    | ~ spl0
    | sk9 = n10 ),
    inference(superposition,[status(thm)],[p10672,c152]) ).

cnf(p10687,plain,
    ( ~ spl25
    | ~ spl14
    | ~ spl0
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p10681,p191]) ).

cnf(p10692,plain,
    ( ~ spl25
    | ~ spl14
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10687]) ).

cnf(sct1193,plain,
    ( ~ spl25
    | ~ spl14
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10692]) ).

cnf(p10690,plain,
    ( ~ spl14
    | ~ spl0
    | sk11 = n7 ),
    inference(superposition,[status(thm)],[p10681,c154]) ).

cnf(p10696,plain,
    ( ~ spl26
    | ~ spl14
    | ~ spl0
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p10690,p192]) ).

cnf(p10701,plain,
    ( ~ spl26
    | ~ spl14
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10696]) ).

cnf(sct1194,plain,
    ( ~ spl26
    | ~ spl14
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10701]) ).

cnf(p10699,plain,
    ( ~ spl14
    | ~ spl0
    | sk13 = n6 ),
    inference(superposition,[status(thm)],[p10690,c156]) ).

cnf(p10705,plain,
    ( ~ spl27
    | ~ spl14
    | ~ spl0
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p10699,p193]) ).

cnf(p10710,plain,
    ( ~ spl27
    | ~ spl14
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10705]) ).

cnf(sct1195,plain,
    ( ~ spl27
    | ~ spl14
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10710]) ).

cnf(p10708,plain,
    ( ~ spl14
    | ~ spl0
    | sk15 = n2 ),
    inference(superposition,[status(thm)],[p10699,c158]) ).

cnf(p10714,plain,
    ( ~ spl28
    | ~ spl14
    | ~ spl0
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p10708,p194]) ).

cnf(p10719,plain,
    ( ~ spl28
    | ~ spl14
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10714]) ).

cnf(sct1196,plain,
    ( ~ spl28
    | ~ spl14
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10719]) ).

cnf(p10717,plain,
    ( ~ spl14
    | ~ spl0
    | sk17 = n8 ),
    inference(superposition,[status(thm)],[p10708,c160]) ).

cnf(p10723,plain,
    ( ~ spl29
    | ~ spl14
    | ~ spl0
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p10717,p195]) ).

cnf(p10728,plain,
    ( ~ spl29
    | ~ spl14
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10723]) ).

cnf(sct1197,plain,
    ( ~ spl29
    | ~ spl14
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10728]) ).

cnf(p10726,plain,
    ( ~ spl14
    | ~ spl0
    | sk19 = n10 ),
    inference(superposition,[status(thm)],[p10717,c162]) ).

cnf(p10732,plain,
    ( ~ spl30
    | ~ spl14
    | ~ spl0
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p10726,p196]) ).

cnf(p10737,plain,
    ( ~ spl30
    | ~ spl14
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10732]) ).

cnf(sct1198,plain,
    ( ~ spl30
    | ~ spl14
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10737]) ).

cnf(p10735,plain,
    ( ~ spl14
    | ~ spl0
    | sk21 = n7 ),
    inference(superposition,[status(thm)],[p10726,c164]) ).

cnf(p10739,plain,
    ( ~ spl31
    | ~ spl14
    | ~ spl0
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p10735,p197]) ).

cnf(p10740,plain,
    ( ~ spl31
    | ~ spl14
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10739]) ).

cnf(sct1199,plain,
    ( ~ spl31
    | ~ spl14
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10740]) ).

cnf(p10742,plain,
    ( ~ spl13
    | ~ spl0
    | sk3 = n4 ),
    inference(superposition,[status(thm)],[p158,p10052]) ).

cnf(p10746,plain,
    ( ~ spl22
    | ~ spl13
    | ~ spl0
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p10742,p188]) ).

cnf(p10751,plain,
    ( ~ spl22
    | ~ spl13
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10746]) ).

cnf(sct1200,plain,
    ( ~ spl22
    | ~ spl13
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10751]) ).

cnf(p10749,plain,
    ( ~ spl13
    | ~ spl0
    | sk5 = n5 ),
    inference(superposition,[status(thm)],[p10742,c148]) ).

cnf(p10755,plain,
    ( ~ spl23
    | ~ spl13
    | ~ spl0
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p10749,p189]) ).

cnf(p10760,plain,
    ( ~ spl23
    | ~ spl13
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10755]) ).

cnf(sct1201,plain,
    ( ~ spl23
    | ~ spl13
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10760]) ).

cnf(p10758,plain,
    ( ~ spl13
    | ~ spl0
    | sk7 = n9 ),
    inference(superposition,[status(thm)],[p10749,c150]) ).

cnf(p10764,plain,
    ( ~ spl24
    | ~ spl13
    | ~ spl0
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p10758,p190]) ).

cnf(p10769,plain,
    ( ~ spl24
    | ~ spl13
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10764]) ).

cnf(sct1202,plain,
    ( ~ spl24
    | ~ spl13
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10769]) ).

cnf(p10767,plain,
    ( ~ spl13
    | ~ spl0
    | sk9 = n3 ),
    inference(superposition,[status(thm)],[p10758,c152]) ).

cnf(p10773,plain,
    ( ~ spl25
    | ~ spl13
    | ~ spl0
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p10767,p191]) ).

cnf(p10778,plain,
    ( ~ spl25
    | ~ spl13
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10773]) ).

cnf(sct1203,plain,
    ( ~ spl25
    | ~ spl13
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10778]) ).

cnf(p10776,plain,
    ( ~ spl13
    | ~ spl0
    | sk11 = n1 ),
    inference(superposition,[status(thm)],[p10767,c154]) ).

cnf(p10782,plain,
    ( ~ spl26
    | ~ spl13
    | ~ spl0
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p10776,p192]) ).

cnf(p10787,plain,
    ( ~ spl26
    | ~ spl13
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10782]) ).

cnf(sct1204,plain,
    ( ~ spl26
    | ~ spl13
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10787]) ).

cnf(p10785,plain,
    ( ~ spl13
    | ~ spl0
    | sk13 = n4 ),
    inference(superposition,[status(thm)],[p10776,c156]) ).

cnf(p10791,plain,
    ( ~ spl27
    | ~ spl13
    | ~ spl0
    | n4 != n4 ),
    inference(superposition,[status(thm)],[p10785,p193]) ).

cnf(p10796,plain,
    ( ~ spl27
    | ~ spl13
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10791]) ).

cnf(sct1205,plain,
    ( ~ spl27
    | ~ spl13
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10796]) ).

cnf(p10794,plain,
    ( ~ spl13
    | ~ spl0
    | sk15 = n5 ),
    inference(superposition,[status(thm)],[p10785,c158]) ).

cnf(p10800,plain,
    ( ~ spl28
    | ~ spl13
    | ~ spl0
    | n5 != n5 ),
    inference(superposition,[status(thm)],[p10794,p194]) ).

cnf(p10805,plain,
    ( ~ spl28
    | ~ spl13
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10800]) ).

cnf(sct1206,plain,
    ( ~ spl28
    | ~ spl13
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10805]) ).

cnf(p10803,plain,
    ( ~ spl13
    | ~ spl0
    | sk17 = n9 ),
    inference(superposition,[status(thm)],[p10794,c160]) ).

cnf(p10809,plain,
    ( ~ spl29
    | ~ spl13
    | ~ spl0
    | n9 != n9 ),
    inference(superposition,[status(thm)],[p10803,p195]) ).

cnf(p10814,plain,
    ( ~ spl29
    | ~ spl13
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10809]) ).

cnf(sct1207,plain,
    ( ~ spl29
    | ~ spl13
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10814]) ).

cnf(p10812,plain,
    ( ~ spl13
    | ~ spl0
    | sk19 = n3 ),
    inference(superposition,[status(thm)],[p10803,c162]) ).

cnf(p10818,plain,
    ( ~ spl30
    | ~ spl13
    | ~ spl0
    | n3 != n3 ),
    inference(superposition,[status(thm)],[p10812,p196]) ).

cnf(p10823,plain,
    ( ~ spl30
    | ~ spl13
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10818]) ).

cnf(sct1208,plain,
    ( ~ spl30
    | ~ spl13
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10823]) ).

cnf(p10821,plain,
    ( ~ spl13
    | ~ spl0
    | sk21 = n1 ),
    inference(superposition,[status(thm)],[p10812,c164]) ).

cnf(p10825,plain,
    ( ~ spl31
    | ~ spl13
    | ~ spl0
    | n1 != n1 ),
    inference(superposition,[status(thm)],[p10821,p197]) ).

cnf(p10826,plain,
    ( ~ spl31
    | ~ spl13
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10825]) ).

cnf(sct1209,plain,
    ( ~ spl31
    | ~ spl13
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10826]) ).

cnf(p10828,plain,
    ( ~ spl12
    | ~ spl0
    | sk3 = n2 ),
    inference(superposition,[status(thm)],[p157,p10052]) ).

cnf(p10832,plain,
    ( ~ spl22
    | ~ spl12
    | ~ spl0
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p10828,p188]) ).

cnf(p10837,plain,
    ( ~ spl22
    | ~ spl12
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10832]) ).

cnf(sct1210,plain,
    ( ~ spl22
    | ~ spl12
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10837]) ).

cnf(p10835,plain,
    ( ~ spl12
    | ~ spl0
    | sk5 = n8 ),
    inference(superposition,[status(thm)],[p10828,c148]) ).

cnf(p10841,plain,
    ( ~ spl23
    | ~ spl12
    | ~ spl0
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p10835,p189]) ).

cnf(p10846,plain,
    ( ~ spl23
    | ~ spl12
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10841]) ).

cnf(sct1211,plain,
    ( ~ spl23
    | ~ spl12
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10846]) ).

cnf(p10844,plain,
    ( ~ spl12
    | ~ spl0
    | sk7 = n10 ),
    inference(superposition,[status(thm)],[p10835,c150]) ).

cnf(p10850,plain,
    ( ~ spl24
    | ~ spl12
    | ~ spl0
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p10844,p190]) ).

cnf(p10855,plain,
    ( ~ spl24
    | ~ spl12
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10850]) ).

cnf(sct1212,plain,
    ( ~ spl24
    | ~ spl12
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10855]) ).

cnf(p10853,plain,
    ( ~ spl12
    | ~ spl0
    | sk9 = n7 ),
    inference(superposition,[status(thm)],[p10844,c152]) ).

cnf(p10859,plain,
    ( ~ spl25
    | ~ spl12
    | ~ spl0
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p10853,p191]) ).

cnf(p10864,plain,
    ( ~ spl25
    | ~ spl12
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10859]) ).

cnf(sct1213,plain,
    ( ~ spl25
    | ~ spl12
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10864]) ).

cnf(p10862,plain,
    ( ~ spl12
    | ~ spl0
    | sk11 = n6 ),
    inference(superposition,[status(thm)],[p10853,c154]) ).

cnf(p10868,plain,
    ( ~ spl26
    | ~ spl12
    | ~ spl0
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p10862,p192]) ).

cnf(p10873,plain,
    ( ~ spl26
    | ~ spl12
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10868]) ).

cnf(sct1214,plain,
    ( ~ spl26
    | ~ spl12
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10873]) ).

cnf(p10871,plain,
    ( ~ spl12
    | ~ spl0
    | sk13 = n2 ),
    inference(superposition,[status(thm)],[p10862,c156]) ).

cnf(p10877,plain,
    ( ~ spl27
    | ~ spl12
    | ~ spl0
    | n2 != n2 ),
    inference(superposition,[status(thm)],[p10871,p193]) ).

cnf(p10882,plain,
    ( ~ spl27
    | ~ spl12
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10877]) ).

cnf(sct1215,plain,
    ( ~ spl27
    | ~ spl12
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10882]) ).

cnf(p10880,plain,
    ( ~ spl12
    | ~ spl0
    | sk15 = n8 ),
    inference(superposition,[status(thm)],[p10871,c158]) ).

cnf(p10886,plain,
    ( ~ spl28
    | ~ spl12
    | ~ spl0
    | n8 != n8 ),
    inference(superposition,[status(thm)],[p10880,p194]) ).

cnf(p10891,plain,
    ( ~ spl28
    | ~ spl12
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10886]) ).

cnf(sct1216,plain,
    ( ~ spl28
    | ~ spl12
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10891]) ).

cnf(p10889,plain,
    ( ~ spl12
    | ~ spl0
    | sk17 = n10 ),
    inference(superposition,[status(thm)],[p10880,c160]) ).

cnf(p10895,plain,
    ( ~ spl29
    | ~ spl12
    | ~ spl0
    | n10 != n10 ),
    inference(superposition,[status(thm)],[p10889,p195]) ).

cnf(p10900,plain,
    ( ~ spl29
    | ~ spl12
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10895]) ).

cnf(sct1217,plain,
    ( ~ spl29
    | ~ spl12
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10900]) ).

cnf(p10898,plain,
    ( ~ spl12
    | ~ spl0
    | sk19 = n7 ),
    inference(superposition,[status(thm)],[p10889,c162]) ).

cnf(p10904,plain,
    ( ~ spl30
    | ~ spl12
    | ~ spl0
    | n7 != n7 ),
    inference(superposition,[status(thm)],[p10898,p196]) ).

cnf(p10909,plain,
    ( ~ spl30
    | ~ spl12
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10904]) ).

cnf(sct1218,plain,
    ( ~ spl30
    | ~ spl12
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10909]) ).

cnf(p10907,plain,
    ( ~ spl12
    | ~ spl0
    | sk21 = n6 ),
    inference(superposition,[status(thm)],[p10898,c164]) ).

cnf(p10911,plain,
    ( ~ spl31
    | ~ spl12
    | ~ spl0
    | n6 != n6 ),
    inference(superposition,[status(thm)],[p10907,p197]) ).

cnf(p10912,plain,
    ( ~ spl31
    | ~ spl12
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10911]) ).

cnf(sct1219,plain,
    ( ~ spl31
    | ~ spl12
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10912]) ).

cnf(p10914,plain,
    ( ~ spl11
    | ~ spl0
    | sk3 = n0 ),
    inference(superposition,[status(thm)],[p156,p10052]) ).

cnf(p10918,plain,
    ( ~ spl22
    | ~ spl11
    | ~ spl0
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p10914,p188]) ).

cnf(p10923,plain,
    ( ~ spl22
    | ~ spl11
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10918]) ).

cnf(sct1220,plain,
    ( ~ spl22
    | ~ spl11
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10923]) ).

cnf(p10921,plain,
    ( ~ spl11
    | ~ spl0
    | sk5 = n0 ),
    inference(superposition,[status(thm)],[p10914,c148]) ).

cnf(p10927,plain,
    ( ~ spl23
    | ~ spl11
    | ~ spl0
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p10921,p189]) ).

cnf(p10932,plain,
    ( ~ spl23
    | ~ spl11
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10927]) ).

cnf(sct1221,plain,
    ( ~ spl23
    | ~ spl11
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10932]) ).

cnf(p10930,plain,
    ( ~ spl11
    | ~ spl0
    | sk7 = n0 ),
    inference(superposition,[status(thm)],[p10921,c150]) ).

cnf(p10936,plain,
    ( ~ spl24
    | ~ spl11
    | ~ spl0
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p10930,p190]) ).

cnf(p10941,plain,
    ( ~ spl24
    | ~ spl11
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10936]) ).

cnf(sct1222,plain,
    ( ~ spl24
    | ~ spl11
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10941]) ).

cnf(p10939,plain,
    ( ~ spl11
    | ~ spl0
    | sk9 = n0 ),
    inference(superposition,[status(thm)],[p10930,c152]) ).

cnf(p10945,plain,
    ( ~ spl25
    | ~ spl11
    | ~ spl0
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p10939,p191]) ).

cnf(p10950,plain,
    ( ~ spl25
    | ~ spl11
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10945]) ).

cnf(sct1223,plain,
    ( ~ spl25
    | ~ spl11
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10950]) ).

cnf(p10948,plain,
    ( ~ spl11
    | ~ spl0
    | sk11 = n0 ),
    inference(superposition,[status(thm)],[p10939,c154]) ).

cnf(p10954,plain,
    ( ~ spl26
    | ~ spl11
    | ~ spl0
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p10948,p192]) ).

cnf(p10959,plain,
    ( ~ spl26
    | ~ spl11
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10954]) ).

cnf(sct1224,plain,
    ( ~ spl26
    | ~ spl11
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10959]) ).

cnf(p10957,plain,
    ( ~ spl11
    | ~ spl0
    | sk13 = n0 ),
    inference(superposition,[status(thm)],[p10948,c156]) ).

cnf(p10963,plain,
    ( ~ spl27
    | ~ spl11
    | ~ spl0
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p10957,p193]) ).

cnf(p10968,plain,
    ( ~ spl27
    | ~ spl11
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10963]) ).

cnf(sct1225,plain,
    ( ~ spl27
    | ~ spl11
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10968]) ).

cnf(p10966,plain,
    ( ~ spl11
    | ~ spl0
    | sk15 = n0 ),
    inference(superposition,[status(thm)],[p10957,c158]) ).

cnf(p10972,plain,
    ( ~ spl28
    | ~ spl11
    | ~ spl0
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p10966,p194]) ).

cnf(p10977,plain,
    ( ~ spl28
    | ~ spl11
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10972]) ).

cnf(sct1226,plain,
    ( ~ spl28
    | ~ spl11
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10977]) ).

cnf(p10975,plain,
    ( ~ spl11
    | ~ spl0
    | sk17 = n0 ),
    inference(superposition,[status(thm)],[p10966,c160]) ).

cnf(p10981,plain,
    ( ~ spl29
    | ~ spl11
    | ~ spl0
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p10975,p195]) ).

cnf(p10986,plain,
    ( ~ spl29
    | ~ spl11
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10981]) ).

cnf(sct1227,plain,
    ( ~ spl29
    | ~ spl11
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10986]) ).

cnf(p10984,plain,
    ( ~ spl11
    | ~ spl0
    | sk19 = n0 ),
    inference(superposition,[status(thm)],[p10975,c162]) ).

cnf(p10990,plain,
    ( ~ spl30
    | ~ spl11
    | ~ spl0
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p10984,p196]) ).

cnf(p10995,plain,
    ( ~ spl30
    | ~ spl11
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10990]) ).

cnf(sct1228,plain,
    ( ~ spl30
    | ~ spl11
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10995]) ).

cnf(p10993,plain,
    ( ~ spl11
    | ~ spl0
    | sk21 = n0 ),
    inference(superposition,[status(thm)],[p10984,c164]) ).

cnf(p10997,plain,
    ( ~ spl31
    | ~ spl11
    | ~ spl0
    | n0 != n0 ),
    inference(superposition,[status(thm)],[p10993,p197]) ).

cnf(p10998,plain,
    ( ~ spl31
    | ~ spl11
    | ~ spl0
    | $false ),
    inference(equality_resolution,[status(thm)],[p10997]) ).

cnf(sct1229,plain,
    ( ~ spl31
    | ~ spl11
    | ~ spl0 ),
    inference(avatar_contradiction_clause,[status(thm)],[p10998]) ).

cnf(c143,plain,
    ( sk0 = n10
    | sk0 = n9
    | sk0 = n8
    | sk0 = n7
    | sk0 = n6
    | sk0 = n5
    | sk0 = n4
    | sk0 = n3
    | sk0 = n2
    | sk0 = n1
    | sk0 = n0 ),
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(ssp0,plain,
    ( spl10
    | spl9
    | spl8
    | spl7
    | spl6
    | spl5
    | spl4
    | spl3
    | spl2
    | spl1
    | spl0 ),
    inference(avatar_split_clause,[status(thm)],[c143,sdef0,sdef1,sdef2,sdef3,sdef4,sdef5,sdef6,sdef7,sdef8,sdef9,sdef10]) ).

cnf(c144,plain,
    ( sk1 = n10
    | sk1 = n9
    | sk1 = n8
    | sk1 = n7
    | sk1 = n6
    | sk1 = n5
    | sk1 = n4
    | sk1 = n3
    | sk1 = n2
    | sk1 = n1
    | sk1 = n0 ),
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(ssp1,plain,
    ( spl21
    | spl20
    | spl19
    | spl18
    | spl17
    | spl16
    | spl15
    | spl14
    | spl13
    | spl12
    | spl11 ),
    inference(avatar_split_clause,[status(thm)],[c144,sdef11,sdef12,sdef13,sdef14,sdef15,sdef16,sdef17,sdef18,sdef19,sdef20,sdef21]) ).

cnf(c165,plain,
    ( sk20 != sk21
    | sk18 != sk19
    | sk16 != sk17
    | sk14 != sk15
    | sk12 != sk13
    | sk10 != sk11
    | sk8 != sk9
    | sk6 != sk7
    | sk4 != sk5
    | sk2 != sk3 ),
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(ssp2,plain,
    ( spl31
    | spl30
    | spl29
    | spl28
    | spl27
    | spl26
    | spl25
    | spl24
    | spl23
    | spl22 ),
    inference(avatar_split_clause,[status(thm)],[c165,sdef22,sdef23,sdef24,sdef25,sdef26,sdef27,sdef28,sdef29,sdef30,sdef31]) ).

cnf(sat_ref,plain,
    $false,
    inference(avatar_sat_refutation,[status(thm)],[ssp0,ssp1,ssp2,sct0,sct1,sct2,sct3,sct4,sct5,sct6,sct7,sct8,sct9,sct10,sct11,sct12,sct13,sct14,sct15,sct16,sct17,sct18,sct19,sct20,sct21,sct22,sct23,sct24,sct25,sct26,sct27,sct28,sct29,sct30,sct31,sct32,sct33,sct34,sct35,sct36,sct37,sct38,sct39,sct40,sct41,sct42,sct43,sct44,sct45,sct46,sct47,sct48,sct49,sct50,sct51,sct52,sct53,sct54,sct55,sct56,sct57,sct58,sct59,sct60,sct61,sct62,sct63,sct64,sct65,sct66,sct67,sct68,sct69,sct70,sct71,sct72,sct73,sct74,sct75,sct76,sct77,sct78,sct79,sct80,sct81,sct82,sct83,sct84,sct85,sct86,sct87,sct88,sct89,sct90,sct91,sct92,sct93,sct94,sct95,sct96,sct97,sct98,sct99,sct100,sct101,sct102,sct103,sct104,sct105,sct106,sct107,sct108,sct109,sct110,sct111,sct112,sct113,sct114,sct115,sct116,sct117,sct118,sct119,sct120,sct121,sct122,sct123,sct124,sct125,sct126,sct127,sct128,sct129,sct130,sct131,sct132,sct133,sct134,sct135,sct136,sct137,sct138,sct139,sct140,sct141,sct142,sct143,sct144,sct145,sct146,sct147,sct148,sct149,sct150,sct151,sct152,sct153,sct154,sct155,sct156,sct157,sct158,sct159,sct160,sct161,sct162,sct163,sct164,sct165,sct166,sct167,sct168,sct169,sct170,sct171,sct172,sct173,sct174,sct175,sct176,sct177,sct178,sct179,sct180,sct181,sct182,sct183,sct184,sct185,sct186,sct187,sct188,sct189,sct190,sct191,sct192,sct193,sct194,sct195,sct196,sct197,sct198,sct199,sct200,sct201,sct202,sct203,sct204,sct205,sct206,sct207,sct208,sct209,sct210,sct211,sct212,sct213,sct214,sct215,sct216,sct217,sct218,sct219,sct220,sct221,sct222,sct223,sct224,sct225,sct226,sct227,sct228,sct229,sct230,sct231,sct232,sct233,sct234,sct235,sct236,sct237,sct238,sct239,sct240,sct241,sct242,sct243,sct244,sct245,sct246,sct247,sct248,sct249,sct250,sct251,sct252,sct253,sct254,sct255,sct256,sct257,sct258,sct259,sct260,sct261,sct262,sct263,sct264,sct265,sct266,sct267,sct268,sct269,sct270,sct271,sct272,sct273,sct274,sct275,sct276,sct277,sct278,sct279,sct280,sct281,sct282,sct283,sct284,sct285,sct286,sct287,sct288,sct289,sct290,sct291,sct292,sct293,sct294,sct295,sct296,sct297,sct298,sct299,sct300,sct301,sct302,sct303,sct304,sct305,sct306,sct307,sct308,sct309,sct310,sct311,sct312,sct313,sct314,sct315,sct316,sct317,sct318,sct319,sct320,sct321,sct322,sct323,sct324,sct325,sct326,sct327,sct328,sct329,sct330,sct331,sct332,sct333,sct334,sct335,sct336,sct337,sct338,sct339,sct340,sct341,sct342,sct343,sct344,sct345,sct346,sct347,sct348,sct349,sct350,sct351,sct352,sct353,sct354,sct355,sct356,sct357,sct358,sct359,sct360,sct361,sct362,sct363,sct364,sct365,sct366,sct367,sct368,sct369,sct370,sct371,sct372,sct373,sct374,sct375,sct376,sct377,sct378,sct379,sct380,sct381,sct382,sct383,sct384,sct385,sct386,sct387,sct388,sct389,sct390,sct391,sct392,sct393,sct394,sct395,sct396,sct397,sct398,sct399,sct400,sct401,sct402,sct403,sct404,sct405,sct406,sct407,sct408,sct409,sct410,sct411,sct412,sct413,sct414,sct415,sct416,sct417,sct418,sct419,sct420,sct421,sct422,sct423,sct424,sct425,sct426,sct427,sct428,sct429,sct430,sct431,sct432,sct433,sct434,sct435,sct436,sct437,sct438,sct439,sct440,sct441,sct442,sct443,sct444,sct445,sct446,sct447,sct448,sct449,sct450,sct451,sct452,sct453,sct454,sct455,sct456,sct457,sct458,sct459,sct460,sct461,sct462,sct463,sct464,sct465,sct466,sct467,sct468,sct469,sct470,sct471,sct472,sct473,sct474,sct475,sct476,sct477,sct478,sct479,sct480,sct481,sct482,sct483,sct484,sct485,sct486,sct487,sct488,sct489,sct490,sct491,sct492,sct493,sct494,sct495,sct496,sct497,sct498,sct499,sct500,sct501,sct502,sct503,sct504,sct505,sct506,sct507,sct508,sct509,sct510,sct511,sct512,sct513,sct514,sct515,sct516,sct517,sct518,sct519,sct520,sct521,sct522,sct523,sct524,sct525,sct526,sct527,sct528,sct529,sct530,sct531,sct532,sct533,sct534,sct535,sct536,sct537,sct538,sct539,sct540,sct541,sct542,sct543,sct544,sct545,sct546,sct547,sct548,sct549,sct550,sct551,sct552,sct553,sct554,sct555,sct556,sct557,sct558,sct559,sct560,sct561,sct562,sct563,sct564,sct565,sct566,sct567,sct568,sct569,sct570,sct571,sct572,sct573,sct574,sct575,sct576,sct577,sct578,sct579,sct580,sct581,sct582,sct583,sct584,sct585,sct586,sct587,sct588,sct589,sct590,sct591,sct592,sct593,sct594,sct595,sct596,sct597,sct598,sct599,sct600,sct601,sct602,sct603,sct604,sct605,sct606,sct607,sct608,sct609,sct610,sct611,sct612,sct613,sct614,sct615,sct616,sct617,sct618,sct619,sct620,sct621,sct622,sct623,sct624,sct625,sct626,sct627,sct628,sct629,sct630,sct631,sct632,sct633,sct634,sct635,sct636,sct637,sct638,sct639,sct640,sct641,sct642,sct643,sct644,sct645,sct646,sct647,sct648,sct649,sct650,sct651,sct652,sct653,sct654,sct655,sct656,sct657,sct658,sct659,sct660,sct661,sct662,sct663,sct664,sct665,sct666,sct667,sct668,sct669,sct670,sct671,sct672,sct673,sct674,sct675,sct676,sct677,sct678,sct679,sct680,sct681,sct682,sct683,sct684,sct685,sct686,sct687,sct688,sct689,sct690,sct691,sct692,sct693,sct694,sct695,sct696,sct697,sct698,sct699,sct700,sct701,sct702,sct703,sct704,sct705,sct706,sct707,sct708,sct709,sct710,sct711,sct712,sct713,sct714,sct715,sct716,sct717,sct718,sct719,sct720,sct721,sct722,sct723,sct724,sct725,sct726,sct727,sct728,sct729,sct730,sct731,sct732,sct733,sct734,sct735,sct736,sct737,sct738,sct739,sct740,sct741,sct742,sct743,sct744,sct745,sct746,sct747,sct748,sct749,sct750,sct751,sct752,sct753,sct754,sct755,sct756,sct757,sct758,sct759,sct760,sct761,sct762,sct763,sct764,sct765,sct766,sct767,sct768,sct769,sct770,sct771,sct772,sct773,sct774,sct775,sct776,sct777,sct778,sct779,sct780,sct781,sct782,sct783,sct784,sct785,sct786,sct787,sct788,sct789,sct790,sct791,sct792,sct793,sct794,sct795,sct796,sct797,sct798,sct799,sct800,sct801,sct802,sct803,sct804,sct805,sct806,sct807,sct808,sct809,sct810,sct811,sct812,sct813,sct814,sct815,sct816,sct817,sct818,sct819,sct820,sct821,sct822,sct823,sct824,sct825,sct826,sct827,sct828,sct829,sct830,sct831,sct832,sct833,sct834,sct835,sct836,sct837,sct838,sct839,sct840,sct841,sct842,sct843,sct844,sct845,sct846,sct847,sct848,sct849,sct850,sct851,sct852,sct853,sct854,sct855,sct856,sct857,sct858,sct859,sct860,sct861,sct862,sct863,sct864,sct865,sct866,sct867,sct868,sct869,sct870,sct871,sct872,sct873,sct874,sct875,sct876,sct877,sct878,sct879,sct880,sct881,sct882,sct883,sct884,sct885,sct886,sct887,sct888,sct889,sct890,sct891,sct892,sct893,sct894,sct895,sct896,sct897,sct898,sct899,sct900,sct901,sct902,sct903,sct904,sct905,sct906,sct907,sct908,sct909,sct910,sct911,sct912,sct913,sct914,sct915,sct916,sct917,sct918,sct919,sct920,sct921,sct922,sct923,sct924,sct925,sct926,sct927,sct928,sct929,sct930,sct931,sct932,sct933,sct934,sct935,sct936,sct937,sct938,sct939,sct940,sct941,sct942,sct943,sct944,sct945,sct946,sct947,sct948,sct949,sct950,sct951,sct952,sct953,sct954,sct955,sct956,sct957,sct958,sct959,sct960,sct961,sct962,sct963,sct964,sct965,sct966,sct967,sct968,sct969,sct970,sct971,sct972,sct973,sct974,sct975,sct976,sct977,sct978,sct979,sct980,sct981,sct982,sct983,sct984,sct985,sct986,sct987,sct988,sct989,sct990,sct991,sct992,sct993,sct994,sct995,sct996,sct997,sct998,sct999,sct1000,sct1001,sct1002,sct1003,sct1004,sct1005,sct1006,sct1007,sct1008,sct1009,sct1010,sct1011,sct1012,sct1013,sct1014,sct1015,sct1016,sct1017,sct1018,sct1019,sct1020,sct1021,sct1022,sct1023,sct1024,sct1025,sct1026,sct1027,sct1028,sct1029,sct1030,sct1031,sct1032,sct1033,sct1034,sct1035,sct1036,sct1037,sct1038,sct1039,sct1040,sct1041,sct1042,sct1043,sct1044,sct1045,sct1046,sct1047,sct1048,sct1049,sct1050,sct1051,sct1052,sct1053,sct1054,sct1055,sct1056,sct1057,sct1058,sct1059,sct1060,sct1061,sct1062,sct1063,sct1064,sct1065,sct1066,sct1067,sct1068,sct1069,sct1070,sct1071,sct1072,sct1073,sct1074,sct1075,sct1076,sct1077,sct1078,sct1079,sct1080,sct1081,sct1082,sct1083,sct1084,sct1085,sct1086,sct1087,sct1088,sct1089,sct1090,sct1091,sct1092,sct1093,sct1094,sct1095,sct1096,sct1097,sct1098,sct1099,sct1100,sct1101,sct1102,sct1103,sct1104,sct1105,sct1106,sct1107,sct1108,sct1109,sct1110,sct1111,sct1112,sct1113,sct1114,sct1115,sct1116,sct1117,sct1118,sct1119,sct1120,sct1121,sct1122,sct1123,sct1124,sct1125,sct1126,sct1127,sct1128,sct1129,sct1130,sct1131,sct1132,sct1133,sct1134,sct1135,sct1136,sct1137,sct1138,sct1139,sct1140,sct1141,sct1142,sct1143,sct1144,sct1145,sct1146,sct1147,sct1148,sct1149,sct1150,sct1151,sct1152,sct1153,sct1154,sct1155,sct1156,sct1157,sct1158,sct1159,sct1160,sct1161,sct1162,sct1163,sct1164,sct1165,sct1166,sct1167,sct1168,sct1169,sct1170,sct1171,sct1172,sct1173,sct1174,sct1175,sct1176,sct1177,sct1178,sct1179,sct1180,sct1181,sct1182,sct1183,sct1184,sct1185,sct1186,sct1187,sct1188,sct1189,sct1190,sct1191,sct1192,sct1193,sct1194,sct1195,sct1196,sct1197,sct1198,sct1199,sct1200,sct1201,sct1202,sct1203,sct1204,sct1205,sct1206,sct1207,sct1208,sct1209,sct1210,sct1211,sct1212,sct1213,sct1214,sct1215,sct1216,sct1217,sct1218,sct1219,sct1220,sct1221,sct1222,sct1223,sct1224,sct1225,sct1226,sct1227,sct1228,sct1229]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM377+1.010 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.38  % Computer : n011.cluster.edu
% 0.09/0.38  % Model    : x86_64 x86_64
% 0.09/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38  % Memory   : 8046.5625MB
% 0.09/0.38  % OS       : Linux 6.8.0-71-generic
% 0.09/0.38  % CPULimit : 300
% 0.09/0.38  % WCLimit  : 300
% 0.09/0.38  % DateTime : Thu Sep 24 03:46:43 UTC 2026
% 0.09/0.38  % CPUTime  : 
% 0.09/0.38  Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 158.70/20.66  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 158.70/20.66  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------