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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ALG063+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n004.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 : Tue Sep 29 09:09:25 AM UTC 2026

% Result   : Theorem 4.00s 1.31s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   38
%            Number of leaves      :  164
% Syntax   : Number of formulae    : 1298 (  82 unt; 158 def)
%            Number of atoms       : 4293 (1482 equ)
%            Maximal formula atoms :  250 (   3 avg)
%            Number of connectives : 4770 (1775   ~;2498   |; 363   &)
%                                         ( 134 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   54 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :  160 ( 158 usr; 159 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ( ( op(e0,e0) = e0
      | op(e0,e0) = e1
      | op(e0,e0) = e2
      | op(e0,e0) = e3
      | op(e0,e0) = e4 )
    & ( op(e0,e1) = e0
      | op(e0,e1) = e1
      | op(e0,e1) = e2
      | op(e0,e1) = e3
      | op(e0,e1) = e4 )
    & ( op(e0,e2) = e0
      | op(e0,e2) = e1
      | op(e0,e2) = e2
      | op(e0,e2) = e3
      | op(e0,e2) = e4 )
    & ( op(e0,e3) = e0
      | op(e0,e3) = e1
      | op(e0,e3) = e2
      | op(e0,e3) = e3
      | op(e0,e3) = e4 )
    & ( op(e0,e4) = e0
      | op(e0,e4) = e1
      | op(e0,e4) = e2
      | op(e0,e4) = e3
      | op(e0,e4) = e4 )
    & ( op(e1,e0) = e0
      | op(e1,e0) = e1
      | op(e1,e0) = e2
      | op(e1,e0) = e3
      | op(e1,e0) = e4 )
    & ( op(e1,e1) = e0
      | op(e1,e1) = e1
      | op(e1,e1) = e2
      | op(e1,e1) = e3
      | op(e1,e1) = e4 )
    & ( op(e1,e2) = e0
      | op(e1,e2) = e1
      | op(e1,e2) = e2
      | op(e1,e2) = e3
      | op(e1,e2) = e4 )
    & ( op(e1,e3) = e0
      | op(e1,e3) = e1
      | op(e1,e3) = e2
      | op(e1,e3) = e3
      | op(e1,e3) = e4 )
    & ( op(e1,e4) = e0
      | op(e1,e4) = e1
      | op(e1,e4) = e2
      | op(e1,e4) = e3
      | op(e1,e4) = e4 )
    & ( op(e2,e0) = e0
      | op(e2,e0) = e1
      | op(e2,e0) = e2
      | op(e2,e0) = e3
      | op(e2,e0) = e4 )
    & ( op(e2,e1) = e0
      | op(e2,e1) = e1
      | op(e2,e1) = e2
      | op(e2,e1) = e3
      | op(e2,e1) = e4 )
    & ( op(e2,e2) = e0
      | op(e2,e2) = e1
      | op(e2,e2) = e2
      | op(e2,e2) = e3
      | op(e2,e2) = e4 )
    & ( op(e2,e3) = e0
      | op(e2,e3) = e1
      | op(e2,e3) = e2
      | op(e2,e3) = e3
      | op(e2,e3) = e4 )
    & ( op(e2,e4) = e0
      | op(e2,e4) = e1
      | op(e2,e4) = e2
      | op(e2,e4) = e3
      | op(e2,e4) = e4 )
    & ( op(e3,e0) = e0
      | op(e3,e0) = e1
      | op(e3,e0) = e2
      | op(e3,e0) = e3
      | op(e3,e0) = e4 )
    & ( op(e3,e1) = e0
      | op(e3,e1) = e1
      | op(e3,e1) = e2
      | op(e3,e1) = e3
      | op(e3,e1) = e4 )
    & ( op(e3,e2) = e0
      | op(e3,e2) = e1
      | op(e3,e2) = e2
      | op(e3,e2) = e3
      | op(e3,e2) = e4 )
    & ( op(e3,e3) = e0
      | op(e3,e3) = e1
      | op(e3,e3) = e2
      | op(e3,e3) = e3
      | op(e3,e3) = e4 )
    & ( op(e3,e4) = e0
      | op(e3,e4) = e1
      | op(e3,e4) = e2
      | op(e3,e4) = e3
      | op(e3,e4) = e4 )
    & ( op(e4,e0) = e0
      | op(e4,e0) = e1
      | op(e4,e0) = e2
      | op(e4,e0) = e3
      | op(e4,e0) = e4 )
    & ( op(e4,e1) = e0
      | op(e4,e1) = e1
      | op(e4,e1) = e2
      | op(e4,e1) = e3
      | op(e4,e1) = e4 )
    & ( op(e4,e2) = e0
      | op(e4,e2) = e1
      | op(e4,e2) = e2
      | op(e4,e2) = e3
      | op(e4,e2) = e4 )
    & ( op(e4,e3) = e0
      | op(e4,e3) = e1
      | op(e4,e3) = e2
      | op(e4,e3) = e3
      | op(e4,e3) = e4 )
    & ( op(e4,e4) = e0
      | op(e4,e4) = e1
      | op(e4,e4) = e2
      | op(e4,e4) = e3
      | op(e4,e4) = e4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).

fof(f2,axiom,
    ( op(unit,e0) = e0
    & op(e0,unit) = e0
    & op(unit,e1) = e1
    & op(e1,unit) = e1
    & op(unit,e2) = e2
    & op(e2,unit) = e2
    & op(unit,e3) = e3
    & op(e3,unit) = e3
    & op(unit,e4) = e4
    & op(e4,unit) = e4
    & ( unit = e0
      | unit = e1
      | unit = e2
      | unit = e3
      | unit = e4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).

fof(f3,axiom,
    ( ( op(e0,e0) = e0
      | op(e0,e1) = e0
      | op(e0,e2) = e0
      | op(e0,e3) = e0
      | op(e0,e4) = e0 )
    & ( op(e0,e0) = e0
      | op(e1,e0) = e0
      | op(e2,e0) = e0
      | op(e3,e0) = e0
      | op(e4,e0) = e0 )
    & ( op(e0,e0) = e1
      | op(e0,e1) = e1
      | op(e0,e2) = e1
      | op(e0,e3) = e1
      | op(e0,e4) = e1 )
    & ( op(e0,e0) = e1
      | op(e1,e0) = e1
      | op(e2,e0) = e1
      | op(e3,e0) = e1
      | op(e4,e0) = e1 )
    & ( op(e0,e0) = e2
      | op(e0,e1) = e2
      | op(e0,e2) = e2
      | op(e0,e3) = e2
      | op(e0,e4) = e2 )
    & ( op(e0,e0) = e2
      | op(e1,e0) = e2
      | op(e2,e0) = e2
      | op(e3,e0) = e2
      | op(e4,e0) = e2 )
    & ( op(e0,e0) = e3
      | op(e0,e1) = e3
      | op(e0,e2) = e3
      | op(e0,e3) = e3
      | op(e0,e4) = e3 )
    & ( op(e0,e0) = e3
      | op(e1,e0) = e3
      | op(e2,e0) = e3
      | op(e3,e0) = e3
      | op(e4,e0) = e3 )
    & ( op(e0,e0) = e4
      | op(e0,e1) = e4
      | op(e0,e2) = e4
      | op(e0,e3) = e4
      | op(e0,e4) = e4 )
    & ( op(e0,e0) = e4
      | op(e1,e0) = e4
      | op(e2,e0) = e4
      | op(e3,e0) = e4
      | op(e4,e0) = e4 )
    & ( op(e1,e0) = e0
      | op(e1,e1) = e0
      | op(e1,e2) = e0
      | op(e1,e3) = e0
      | op(e1,e4) = e0 )
    & ( op(e0,e1) = e0
      | op(e1,e1) = e0
      | op(e2,e1) = e0
      | op(e3,e1) = e0
      | op(e4,e1) = e0 )
    & ( op(e1,e0) = e1
      | op(e1,e1) = e1
      | op(e1,e2) = e1
      | op(e1,e3) = e1
      | op(e1,e4) = e1 )
    & ( op(e0,e1) = e1
      | op(e1,e1) = e1
      | op(e2,e1) = e1
      | op(e3,e1) = e1
      | op(e4,e1) = e1 )
    & ( op(e1,e0) = e2
      | op(e1,e1) = e2
      | op(e1,e2) = e2
      | op(e1,e3) = e2
      | op(e1,e4) = e2 )
    & ( op(e0,e1) = e2
      | op(e1,e1) = e2
      | op(e2,e1) = e2
      | op(e3,e1) = e2
      | op(e4,e1) = e2 )
    & ( op(e1,e0) = e3
      | op(e1,e1) = e3
      | op(e1,e2) = e3
      | op(e1,e3) = e3
      | op(e1,e4) = e3 )
    & ( op(e0,e1) = e3
      | op(e1,e1) = e3
      | op(e2,e1) = e3
      | op(e3,e1) = e3
      | op(e4,e1) = e3 )
    & ( op(e1,e0) = e4
      | op(e1,e1) = e4
      | op(e1,e2) = e4
      | op(e1,e3) = e4
      | op(e1,e4) = e4 )
    & ( op(e0,e1) = e4
      | op(e1,e1) = e4
      | op(e2,e1) = e4
      | op(e3,e1) = e4
      | op(e4,e1) = e4 )
    & ( op(e2,e0) = e0
      | op(e2,e1) = e0
      | op(e2,e2) = e0
      | op(e2,e3) = e0
      | op(e2,e4) = e0 )
    & ( op(e0,e2) = e0
      | op(e1,e2) = e0
      | op(e2,e2) = e0
      | op(e3,e2) = e0
      | op(e4,e2) = e0 )
    & ( op(e2,e0) = e1
      | op(e2,e1) = e1
      | op(e2,e2) = e1
      | op(e2,e3) = e1
      | op(e2,e4) = e1 )
    & ( op(e0,e2) = e1
      | op(e1,e2) = e1
      | op(e2,e2) = e1
      | op(e3,e2) = e1
      | op(e4,e2) = e1 )
    & ( op(e2,e0) = e2
      | op(e2,e1) = e2
      | op(e2,e2) = e2
      | op(e2,e3) = e2
      | op(e2,e4) = e2 )
    & ( op(e0,e2) = e2
      | op(e1,e2) = e2
      | op(e2,e2) = e2
      | op(e3,e2) = e2
      | op(e4,e2) = e2 )
    & ( op(e2,e0) = e3
      | op(e2,e1) = e3
      | op(e2,e2) = e3
      | op(e2,e3) = e3
      | op(e2,e4) = e3 )
    & ( op(e0,e2) = e3
      | op(e1,e2) = e3
      | op(e2,e2) = e3
      | op(e3,e2) = e3
      | op(e4,e2) = e3 )
    & ( op(e2,e0) = e4
      | op(e2,e1) = e4
      | op(e2,e2) = e4
      | op(e2,e3) = e4
      | op(e2,e4) = e4 )
    & ( op(e0,e2) = e4
      | op(e1,e2) = e4
      | op(e2,e2) = e4
      | op(e3,e2) = e4
      | op(e4,e2) = e4 )
    & ( op(e3,e0) = e0
      | op(e3,e1) = e0
      | op(e3,e2) = e0
      | op(e3,e3) = e0
      | op(e3,e4) = e0 )
    & ( op(e0,e3) = e0
      | op(e1,e3) = e0
      | op(e2,e3) = e0
      | op(e3,e3) = e0
      | op(e4,e3) = e0 )
    & ( op(e3,e0) = e1
      | op(e3,e1) = e1
      | op(e3,e2) = e1
      | op(e3,e3) = e1
      | op(e3,e4) = e1 )
    & ( op(e0,e3) = e1
      | op(e1,e3) = e1
      | op(e2,e3) = e1
      | op(e3,e3) = e1
      | op(e4,e3) = e1 )
    & ( op(e3,e0) = e2
      | op(e3,e1) = e2
      | op(e3,e2) = e2
      | op(e3,e3) = e2
      | op(e3,e4) = e2 )
    & ( op(e0,e3) = e2
      | op(e1,e3) = e2
      | op(e2,e3) = e2
      | op(e3,e3) = e2
      | op(e4,e3) = e2 )
    & ( op(e3,e0) = e3
      | op(e3,e1) = e3
      | op(e3,e2) = e3
      | op(e3,e3) = e3
      | op(e3,e4) = e3 )
    & ( op(e0,e3) = e3
      | op(e1,e3) = e3
      | op(e2,e3) = e3
      | op(e3,e3) = e3
      | op(e4,e3) = e3 )
    & ( op(e3,e0) = e4
      | op(e3,e1) = e4
      | op(e3,e2) = e4
      | op(e3,e3) = e4
      | op(e3,e4) = e4 )
    & ( op(e0,e3) = e4
      | op(e1,e3) = e4
      | op(e2,e3) = e4
      | op(e3,e3) = e4
      | op(e4,e3) = e4 )
    & ( op(e4,e0) = e0
      | op(e4,e1) = e0
      | op(e4,e2) = e0
      | op(e4,e3) = e0
      | op(e4,e4) = e0 )
    & ( op(e0,e4) = e0
      | op(e1,e4) = e0
      | op(e2,e4) = e0
      | op(e3,e4) = e0
      | op(e4,e4) = e0 )
    & ( op(e4,e0) = e1
      | op(e4,e1) = e1
      | op(e4,e2) = e1
      | op(e4,e3) = e1
      | op(e4,e4) = e1 )
    & ( op(e0,e4) = e1
      | op(e1,e4) = e1
      | op(e2,e4) = e1
      | op(e3,e4) = e1
      | op(e4,e4) = e1 )
    & ( op(e4,e0) = e2
      | op(e4,e1) = e2
      | op(e4,e2) = e2
      | op(e4,e3) = e2
      | op(e4,e4) = e2 )
    & ( op(e0,e4) = e2
      | op(e1,e4) = e2
      | op(e2,e4) = e2
      | op(e3,e4) = e2
      | op(e4,e4) = e2 )
    & ( op(e4,e0) = e3
      | op(e4,e1) = e3
      | op(e4,e2) = e3
      | op(e4,e3) = e3
      | op(e4,e4) = e3 )
    & ( op(e0,e4) = e3
      | op(e1,e4) = e3
      | op(e2,e4) = e3
      | op(e3,e4) = e3
      | op(e4,e4) = e3 )
    & ( op(e4,e0) = e4
      | op(e4,e1) = e4
      | op(e4,e2) = e4
      | op(e4,e3) = e4
      | op(e4,e4) = e4 )
    & ( op(e0,e4) = e4
      | op(e1,e4) = e4
      | op(e2,e4) = e4
      | op(e3,e4) = e4
      | op(e4,e4) = e4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).

fof(f5,axiom,
    ( e0 != e1
    & e0 != e2
    & e0 != e3
    & e0 != e4
    & e1 != e2
    & e1 != e3
    & e1 != e4
    & e2 != e3
    & e2 != e4
    & e3 != e4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).

fof(f6,axiom,
    ( e0 = op(e1,op(op(e1,e1),op(e1,e1)))
    & e2 = op(op(e1,e1),op(e1,e1))
    & e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
    & e4 = op(e1,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).

fof(f7,conjecture,
    ~ ( ( op(e0,e0) = e0
        | op(e1,e1) = e0
        | op(e2,e2) = e0
        | op(e3,e3) = e0
        | op(e4,e4) = e0 )
      & ( op(e0,e0) = e1
        | op(e1,e1) = e1
        | op(e2,e2) = e1
        | op(e3,e3) = e1
        | op(e4,e4) = e1 )
      & ( op(e0,e0) = e2
        | op(e1,e1) = e2
        | op(e2,e2) = e2
        | op(e3,e3) = e2
        | op(e4,e4) = e2 )
      & ( op(e0,e0) = e3
        | op(e1,e1) = e3
        | op(e2,e2) = e3
        | op(e3,e3) = e3
        | op(e4,e4) = e3 )
      & ( op(e0,e0) = e4
        | op(e1,e1) = e4
        | op(e2,e2) = e4
        | op(e3,e3) = e4
        | op(e4,e4) = e4 )
      & ( ( op(e0,e0) = e0
          & op(e0,e0) = e0
          & op(e0,e0) != e0 )
        | ( op(e0,e0) = e1
          & op(e1,e1) = e0
          & op(e0,e1) != e0 )
        | ( op(e0,e0) = e2
          & op(e2,e2) = e0
          & op(e0,e2) != e0 )
        | ( op(e0,e0) = e3
          & op(e3,e3) = e0
          & op(e0,e3) != e0 )
        | ( op(e0,e0) = e4
          & op(e4,e4) = e0
          & op(e0,e4) != e0 )
        | ( op(e1,e1) = e0
          & op(e0,e0) = e1
          & op(e1,e0) != e1 )
        | ( op(e1,e1) = e1
          & op(e1,e1) = e1
          & op(e1,e1) != e1 )
        | ( op(e1,e1) = e2
          & op(e2,e2) = e1
          & op(e1,e2) != e1 )
        | ( op(e1,e1) = e3
          & op(e3,e3) = e1
          & op(e1,e3) != e1 )
        | ( op(e1,e1) = e4
          & op(e4,e4) = e1
          & op(e1,e4) != e1 )
        | ( op(e2,e2) = e0
          & op(e0,e0) = e2
          & op(e2,e0) != e2 )
        | ( op(e2,e2) = e1
          & op(e1,e1) = e2
          & op(e2,e1) != e2 )
        | ( op(e2,e2) = e2
          & op(e2,e2) = e2
          & op(e2,e2) != e2 )
        | ( op(e2,e2) = e3
          & op(e3,e3) = e2
          & op(e2,e3) != e2 )
        | ( op(e2,e2) = e4
          & op(e4,e4) = e2
          & op(e2,e4) != e2 )
        | ( op(e3,e3) = e0
          & op(e0,e0) = e3
          & op(e3,e0) != e3 )
        | ( op(e3,e3) = e1
          & op(e1,e1) = e3
          & op(e3,e1) != e3 )
        | ( op(e3,e3) = e2
          & op(e2,e2) = e3
          & op(e3,e2) != e3 )
        | ( op(e3,e3) = e3
          & op(e3,e3) = e3
          & op(e3,e3) != e3 )
        | ( op(e3,e3) = e4
          & op(e4,e4) = e3
          & op(e3,e4) != e3 )
        | ( op(e4,e4) = e0
          & op(e0,e0) = e4
          & op(e4,e0) != e4 )
        | ( op(e4,e4) = e1
          & op(e1,e1) = e4
          & op(e4,e1) != e4 )
        | ( op(e4,e4) = e2
          & op(e2,e2) = e4
          & op(e4,e2) != e4 )
        | ( op(e4,e4) = e3
          & op(e3,e3) = e4
          & op(e4,e3) != e4 )
        | ( op(e4,e4) = e4
          & op(e4,e4) = e4
          & op(e4,e4) != e4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f8,negated_conjecture,
    ~ ~ ( ( op(e0,e0) = e0
          | op(e1,e1) = e0
          | op(e2,e2) = e0
          | op(e3,e3) = e0
          | op(e4,e4) = e0 )
        & ( op(e0,e0) = e1
          | op(e1,e1) = e1
          | op(e2,e2) = e1
          | op(e3,e3) = e1
          | op(e4,e4) = e1 )
        & ( op(e0,e0) = e2
          | op(e1,e1) = e2
          | op(e2,e2) = e2
          | op(e3,e3) = e2
          | op(e4,e4) = e2 )
        & ( op(e0,e0) = e3
          | op(e1,e1) = e3
          | op(e2,e2) = e3
          | op(e3,e3) = e3
          | op(e4,e4) = e3 )
        & ( op(e0,e0) = e4
          | op(e1,e1) = e4
          | op(e2,e2) = e4
          | op(e3,e3) = e4
          | op(e4,e4) = e4 )
        & ( ( op(e0,e0) = e0
            & op(e0,e0) = e0
            & op(e0,e0) != e0 )
          | ( op(e0,e0) = e1
            & op(e1,e1) = e0
            & op(e0,e1) != e0 )
          | ( op(e0,e0) = e2
            & op(e2,e2) = e0
            & op(e0,e2) != e0 )
          | ( op(e0,e0) = e3
            & op(e3,e3) = e0
            & op(e0,e3) != e0 )
          | ( op(e0,e0) = e4
            & op(e4,e4) = e0
            & op(e0,e4) != e0 )
          | ( op(e1,e1) = e0
            & op(e0,e0) = e1
            & op(e1,e0) != e1 )
          | ( op(e1,e1) = e1
            & op(e1,e1) = e1
            & op(e1,e1) != e1 )
          | ( op(e1,e1) = e2
            & op(e2,e2) = e1
            & op(e1,e2) != e1 )
          | ( op(e1,e1) = e3
            & op(e3,e3) = e1
            & op(e1,e3) != e1 )
          | ( op(e1,e1) = e4
            & op(e4,e4) = e1
            & op(e1,e4) != e1 )
          | ( op(e2,e2) = e0
            & op(e0,e0) = e2
            & op(e2,e0) != e2 )
          | ( op(e2,e2) = e1
            & op(e1,e1) = e2
            & op(e2,e1) != e2 )
          | ( op(e2,e2) = e2
            & op(e2,e2) = e2
            & op(e2,e2) != e2 )
          | ( op(e2,e2) = e3
            & op(e3,e3) = e2
            & op(e2,e3) != e2 )
          | ( op(e2,e2) = e4
            & op(e4,e4) = e2
            & op(e2,e4) != e2 )
          | ( op(e3,e3) = e0
            & op(e0,e0) = e3
            & op(e3,e0) != e3 )
          | ( op(e3,e3) = e1
            & op(e1,e1) = e3
            & op(e3,e1) != e3 )
          | ( op(e3,e3) = e2
            & op(e2,e2) = e3
            & op(e3,e2) != e3 )
          | ( op(e3,e3) = e3
            & op(e3,e3) = e3
            & op(e3,e3) != e3 )
          | ( op(e3,e3) = e4
            & op(e4,e4) = e3
            & op(e3,e4) != e3 )
          | ( op(e4,e4) = e0
            & op(e0,e0) = e4
            & op(e4,e0) != e4 )
          | ( op(e4,e4) = e1
            & op(e1,e1) = e4
            & op(e4,e1) != e4 )
          | ( op(e4,e4) = e2
            & op(e2,e2) = e4
            & op(e4,e2) != e4 )
          | ( op(e4,e4) = e3
            & op(e3,e3) = e4
            & op(e4,e3) != e4 )
          | ( op(e4,e4) = e4
            & op(e4,e4) = e4
            & op(e4,e4) != e4 ) ) ),
    inference(negated_conjecture,[status(cth)],[f7]) ).

fof(f9,plain,
    ( ( op(e0,e0) = e0
      | op(e1,e1) = e0
      | op(e2,e2) = e0
      | op(e3,e3) = e0
      | op(e4,e4) = e0 )
    & ( op(e0,e0) = e1
      | op(e1,e1) = e1
      | op(e2,e2) = e1
      | op(e3,e3) = e1
      | op(e4,e4) = e1 )
    & ( op(e0,e0) = e2
      | op(e1,e1) = e2
      | op(e2,e2) = e2
      | op(e3,e3) = e2
      | op(e4,e4) = e2 )
    & ( op(e0,e0) = e3
      | op(e1,e1) = e3
      | op(e2,e2) = e3
      | op(e3,e3) = e3
      | op(e4,e4) = e3 )
    & ( op(e0,e0) = e4
      | op(e1,e1) = e4
      | op(e2,e2) = e4
      | op(e3,e3) = e4
      | op(e4,e4) = e4 )
    & ( ( op(e0,e0) = e0
        & op(e0,e0) = e0
        & op(e0,e0) != e0 )
      | ( op(e0,e0) = e1
        & op(e1,e1) = e0
        & op(e0,e1) != e0 )
      | ( op(e0,e0) = e2
        & op(e2,e2) = e0
        & op(e0,e2) != e0 )
      | ( op(e0,e0) = e3
        & op(e3,e3) = e0
        & op(e0,e3) != e0 )
      | ( op(e0,e0) = e4
        & op(e4,e4) = e0
        & op(e0,e4) != e0 )
      | ( op(e1,e1) = e0
        & op(e0,e0) = e1
        & op(e1,e0) != e1 )
      | ( op(e1,e1) = e1
        & op(e1,e1) = e1
        & op(e1,e1) != e1 )
      | ( op(e1,e1) = e2
        & op(e2,e2) = e1
        & op(e1,e2) != e1 )
      | ( op(e1,e1) = e3
        & op(e3,e3) = e1
        & op(e1,e3) != e1 )
      | ( op(e1,e1) = e4
        & op(e4,e4) = e1
        & op(e1,e4) != e1 )
      | ( op(e2,e2) = e0
        & op(e0,e0) = e2
        & op(e2,e0) != e2 )
      | ( op(e2,e2) = e1
        & op(e1,e1) = e2
        & op(e2,e1) != e2 )
      | ( op(e2,e2) = e2
        & op(e2,e2) = e2
        & op(e2,e2) != e2 )
      | ( op(e2,e2) = e3
        & op(e3,e3) = e2
        & op(e2,e3) != e2 )
      | ( op(e2,e2) = e4
        & op(e4,e4) = e2
        & op(e2,e4) != e2 )
      | ( op(e3,e3) = e0
        & op(e0,e0) = e3
        & op(e3,e0) != e3 )
      | ( op(e3,e3) = e1
        & op(e1,e1) = e3
        & op(e3,e1) != e3 )
      | ( op(e3,e3) = e2
        & op(e2,e2) = e3
        & op(e3,e2) != e3 )
      | ( op(e3,e3) = e3
        & op(e3,e3) = e3
        & op(e3,e3) != e3 )
      | ( op(e3,e3) = e4
        & op(e4,e4) = e3
        & op(e3,e4) != e3 )
      | ( op(e4,e4) = e0
        & op(e0,e0) = e4
        & op(e4,e0) != e4 )
      | ( op(e4,e4) = e1
        & op(e1,e1) = e4
        & op(e4,e1) != e4 )
      | ( op(e4,e4) = e2
        & op(e2,e2) = e4
        & op(e4,e2) != e4 )
      | ( op(e4,e4) = e3
        & op(e3,e3) = e4
        & op(e4,e3) != e4 )
      | ( op(e4,e4) = e4
        & op(e4,e4) = e4
        & op(e4,e4) != e4 ) ) ),
    inference(flattening,[],[f8]) ).

fof(f10,definition,
    ( ( op(e4,e4) = e4
      & op(e4,e4) = e4
      & op(e4,e4) != e4 )
    | ~ sP0 ),
    introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).

fof(f11,definition,
    ( ( op(e4,e4) = e3
      & op(e3,e3) = e4
      & op(e4,e3) != e4 )
    | ~ sP1 ),
    introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).

fof(f12,definition,
    ( ( op(e4,e4) = e2
      & op(e2,e2) = e4
      & op(e4,e2) != e4 )
    | ~ sP2 ),
    introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).

fof(f13,definition,
    ( ( op(e4,e4) = e1
      & op(e1,e1) = e4
      & op(e4,e1) != e4 )
    | ~ sP3 ),
    introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).

fof(f14,definition,
    ( ( op(e4,e4) = e0
      & op(e0,e0) = e4
      & op(e4,e0) != e4 )
    | ~ sP4 ),
    introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).

fof(f15,definition,
    ( ( op(e3,e3) = e4
      & op(e4,e4) = e3
      & op(e3,e4) != e3 )
    | ~ sP5 ),
    introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).

fof(f16,definition,
    ( ( op(e3,e3) = e3
      & op(e3,e3) = e3
      & op(e3,e3) != e3 )
    | ~ sP6 ),
    introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).

fof(f17,definition,
    ( ( op(e3,e3) = e2
      & op(e2,e2) = e3
      & op(e3,e2) != e3 )
    | ~ sP7 ),
    introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).

fof(f18,definition,
    ( ( op(e3,e3) = e1
      & op(e1,e1) = e3
      & op(e3,e1) != e3 )
    | ~ sP8 ),
    introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).

fof(f19,definition,
    ( ( op(e3,e3) = e0
      & op(e0,e0) = e3
      & op(e3,e0) != e3 )
    | ~ sP9 ),
    introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).

fof(f20,definition,
    ( ( op(e2,e2) = e4
      & op(e4,e4) = e2
      & op(e2,e4) != e2 )
    | ~ sP10 ),
    introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).

fof(f21,definition,
    ( ( op(e2,e2) = e3
      & op(e3,e3) = e2
      & op(e2,e3) != e2 )
    | ~ sP11 ),
    introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).

fof(f22,definition,
    ( ( op(e2,e2) = e2
      & op(e2,e2) = e2
      & op(e2,e2) != e2 )
    | ~ sP12 ),
    introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).

fof(f23,definition,
    ( ( op(e2,e2) = e1
      & op(e1,e1) = e2
      & op(e2,e1) != e2 )
    | ~ sP13 ),
    introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).

fof(f24,definition,
    ( ( op(e2,e2) = e0
      & op(e0,e0) = e2
      & op(e2,e0) != e2 )
    | ~ sP14 ),
    introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).

fof(f25,definition,
    ( ( op(e1,e1) = e4
      & op(e4,e4) = e1
      & op(e1,e4) != e1 )
    | ~ sP15 ),
    introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).

fof(f26,definition,
    ( ( op(e1,e1) = e3
      & op(e3,e3) = e1
      & op(e1,e3) != e1 )
    | ~ sP16 ),
    introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).

fof(f27,definition,
    ( ( op(e1,e1) = e2
      & op(e2,e2) = e1
      & op(e1,e2) != e1 )
    | ~ sP17 ),
    introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).

fof(f28,definition,
    ( ( op(e1,e1) = e1
      & op(e1,e1) = e1
      & op(e1,e1) != e1 )
    | ~ sP18 ),
    introduced(definition,[new_symbols(definition,[sP18])],[predicate_definition_introduction]) ).

fof(f29,definition,
    ( ( op(e1,e1) = e0
      & op(e0,e0) = e1
      & op(e1,e0) != e1 )
    | ~ sP19 ),
    introduced(definition,[new_symbols(definition,[sP19])],[predicate_definition_introduction]) ).

fof(f30,definition,
    ( ( op(e0,e0) = e4
      & op(e4,e4) = e0
      & op(e0,e4) != e0 )
    | ~ sP20 ),
    introduced(definition,[new_symbols(definition,[sP20])],[predicate_definition_introduction]) ).

fof(f31,definition,
    ( ( op(e0,e0) = e3
      & op(e3,e3) = e0
      & op(e0,e3) != e0 )
    | ~ sP21 ),
    introduced(definition,[new_symbols(definition,[sP21])],[predicate_definition_introduction]) ).

fof(f32,definition,
    ( ( op(e0,e0) = e2
      & op(e2,e2) = e0
      & op(e0,e2) != e0 )
    | ~ sP22 ),
    introduced(definition,[new_symbols(definition,[sP22])],[predicate_definition_introduction]) ).

fof(f33,definition,
    ( ( op(e0,e0) = e1
      & op(e1,e1) = e0
      & op(e0,e1) != e0 )
    | ~ sP23 ),
    introduced(definition,[new_symbols(definition,[sP23])],[predicate_definition_introduction]) ).

fof(f34,plain,
    ( ( op(e0,e0) = e0
      | op(e1,e1) = e0
      | op(e2,e2) = e0
      | op(e3,e3) = e0
      | op(e4,e4) = e0 )
    & ( op(e0,e0) = e1
      | op(e1,e1) = e1
      | op(e2,e2) = e1
      | op(e3,e3) = e1
      | op(e4,e4) = e1 )
    & ( op(e0,e0) = e2
      | op(e1,e1) = e2
      | op(e2,e2) = e2
      | op(e3,e3) = e2
      | op(e4,e4) = e2 )
    & ( op(e0,e0) = e3
      | op(e1,e1) = e3
      | op(e2,e2) = e3
      | op(e3,e3) = e3
      | op(e4,e4) = e3 )
    & ( op(e0,e0) = e4
      | op(e1,e1) = e4
      | op(e2,e2) = e4
      | op(e3,e3) = e4
      | op(e4,e4) = e4 )
    & ( ( op(e0,e0) = e0
        & op(e0,e0) = e0
        & op(e0,e0) != e0 )
      | sP23
      | sP22
      | sP21
      | sP20
      | sP19
      | sP18
      | sP17
      | sP16
      | sP15
      | sP14
      | sP13
      | sP12
      | sP11
      | sP10
      | sP9
      | sP8
      | sP7
      | sP6
      | sP5
      | sP4
      | sP3
      | sP2
      | sP1
      | sP0 ) ),
    inference(definition_folding,[],[f9,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10]) ).

fof(f35,plain,
    ( ( op(e0,e0) = e1
      & op(e1,e1) = e0
      & op(e0,e1) != e0 )
    | ~ sP23 ),
    inference(nnf_transformation,[],[f33]) ).

fof(f36,plain,
    ( ( op(e0,e0) = e2
      & op(e2,e2) = e0
      & op(e0,e2) != e0 )
    | ~ sP22 ),
    inference(nnf_transformation,[],[f32]) ).

fof(f37,plain,
    ( ( op(e0,e0) = e3
      & op(e3,e3) = e0
      & op(e0,e3) != e0 )
    | ~ sP21 ),
    inference(nnf_transformation,[],[f31]) ).

fof(f38,plain,
    ( ( op(e0,e0) = e4
      & op(e4,e4) = e0
      & op(e0,e4) != e0 )
    | ~ sP20 ),
    inference(nnf_transformation,[],[f30]) ).

fof(f39,plain,
    ( ( op(e1,e1) = e0
      & op(e0,e0) = e1
      & op(e1,e0) != e1 )
    | ~ sP19 ),
    inference(nnf_transformation,[],[f29]) ).

fof(f40,plain,
    ( ( op(e1,e1) = e1
      & op(e1,e1) = e1
      & op(e1,e1) != e1 )
    | ~ sP18 ),
    inference(nnf_transformation,[],[f28]) ).

fof(f41,plain,
    ( ( op(e1,e1) = e2
      & op(e2,e2) = e1
      & op(e1,e2) != e1 )
    | ~ sP17 ),
    inference(nnf_transformation,[],[f27]) ).

fof(f42,plain,
    ( ( op(e1,e1) = e3
      & op(e3,e3) = e1
      & op(e1,e3) != e1 )
    | ~ sP16 ),
    inference(nnf_transformation,[],[f26]) ).

fof(f43,plain,
    ( ( op(e1,e1) = e4
      & op(e4,e4) = e1
      & op(e1,e4) != e1 )
    | ~ sP15 ),
    inference(nnf_transformation,[],[f25]) ).

fof(f44,plain,
    ( ( op(e2,e2) = e0
      & op(e0,e0) = e2
      & op(e2,e0) != e2 )
    | ~ sP14 ),
    inference(nnf_transformation,[],[f24]) ).

fof(f45,plain,
    ( ( op(e2,e2) = e1
      & op(e1,e1) = e2
      & op(e2,e1) != e2 )
    | ~ sP13 ),
    inference(nnf_transformation,[],[f23]) ).

fof(f46,plain,
    ( ( op(e2,e2) = e2
      & op(e2,e2) = e2
      & op(e2,e2) != e2 )
    | ~ sP12 ),
    inference(nnf_transformation,[],[f22]) ).

fof(f47,plain,
    ( ( op(e2,e2) = e3
      & op(e3,e3) = e2
      & op(e2,e3) != e2 )
    | ~ sP11 ),
    inference(nnf_transformation,[],[f21]) ).

fof(f48,plain,
    ( ( op(e2,e2) = e4
      & op(e4,e4) = e2
      & op(e2,e4) != e2 )
    | ~ sP10 ),
    inference(nnf_transformation,[],[f20]) ).

fof(f49,plain,
    ( ( op(e3,e3) = e0
      & op(e0,e0) = e3
      & op(e3,e0) != e3 )
    | ~ sP9 ),
    inference(nnf_transformation,[],[f19]) ).

fof(f50,plain,
    ( ( op(e3,e3) = e1
      & op(e1,e1) = e3
      & op(e3,e1) != e3 )
    | ~ sP8 ),
    inference(nnf_transformation,[],[f18]) ).

fof(f51,plain,
    ( ( op(e3,e3) = e2
      & op(e2,e2) = e3
      & op(e3,e2) != e3 )
    | ~ sP7 ),
    inference(nnf_transformation,[],[f17]) ).

fof(f52,plain,
    ( ( op(e3,e3) = e3
      & op(e3,e3) = e3
      & op(e3,e3) != e3 )
    | ~ sP6 ),
    inference(nnf_transformation,[],[f16]) ).

fof(f53,plain,
    ( ( op(e3,e3) = e4
      & op(e4,e4) = e3
      & op(e3,e4) != e3 )
    | ~ sP5 ),
    inference(nnf_transformation,[],[f15]) ).

fof(f54,plain,
    ( ( op(e4,e4) = e0
      & op(e0,e0) = e4
      & op(e4,e0) != e4 )
    | ~ sP4 ),
    inference(nnf_transformation,[],[f14]) ).

fof(f55,plain,
    ( ( op(e4,e4) = e1
      & op(e1,e1) = e4
      & op(e4,e1) != e4 )
    | ~ sP3 ),
    inference(nnf_transformation,[],[f13]) ).

fof(f56,plain,
    ( ( op(e4,e4) = e2
      & op(e2,e2) = e4
      & op(e4,e2) != e4 )
    | ~ sP2 ),
    inference(nnf_transformation,[],[f12]) ).

fof(f57,plain,
    ( ( op(e4,e4) = e3
      & op(e3,e3) = e4
      & op(e4,e3) != e4 )
    | ~ sP1 ),
    inference(nnf_transformation,[],[f11]) ).

fof(f58,plain,
    ( ( op(e4,e4) = e4
      & op(e4,e4) = e4
      & op(e4,e4) != e4 )
    | ~ sP0 ),
    inference(nnf_transformation,[],[f10]) ).

fof(f60,plain,
    ( e0 = op(e1,e1)
    | ~ sP23 ),
    inference(cnf_transformation,[],[f35]) ).

fof(f63,plain,
    ( e0 = op(e2,e2)
    | ~ sP22 ),
    inference(cnf_transformation,[],[f36]) ).

fof(f64,plain,
    ( op(e0,e0) = e2
    | ~ sP22 ),
    inference(cnf_transformation,[],[f36]) ).

fof(f65,plain,
    ( e0 != op(e0,e3)
    | ~ sP21 ),
    inference(cnf_transformation,[],[f37]) ).

fof(f67,plain,
    ( op(e0,e0) = e3
    | ~ sP21 ),
    inference(cnf_transformation,[],[f37]) ).

fof(f69,plain,
    ( e0 = op(e4,e4)
    | ~ sP20 ),
    inference(cnf_transformation,[],[f38]) ).

fof(f70,plain,
    ( op(e0,e0) = e4
    | ~ sP20 ),
    inference(cnf_transformation,[],[f38]) ).

fof(f73,plain,
    ( e0 = op(e1,e1)
    | ~ sP19 ),
    inference(cnf_transformation,[],[f39]) ).

fof(f76,plain,
    ( e1 = op(e1,e1)
    | ~ sP18 ),
    inference(cnf_transformation,[],[f40]) ).

fof(f79,plain,
    ( e2 = op(e1,e1)
    | ~ sP17 ),
    inference(cnf_transformation,[],[f41]) ).

fof(f82,plain,
    ( e3 = op(e1,e1)
    | ~ sP16 ),
    inference(cnf_transformation,[],[f42]) ).

fof(f84,plain,
    ( e1 = op(e4,e4)
    | ~ sP15 ),
    inference(cnf_transformation,[],[f43]) ).

fof(f86,plain,
    ( e2 != op(e2,e0)
    | ~ sP14 ),
    inference(cnf_transformation,[],[f44]) ).

fof(f87,plain,
    ( op(e0,e0) = e2
    | ~ sP14 ),
    inference(cnf_transformation,[],[f44]) ).

fof(f88,plain,
    ( e0 = op(e2,e2)
    | ~ sP14 ),
    inference(cnf_transformation,[],[f44]) ).

fof(f90,plain,
    ( e2 = op(e1,e1)
    | ~ sP13 ),
    inference(cnf_transformation,[],[f45]) ).

fof(f92,plain,
    ( e2 != op(e2,e2)
    | ~ sP12 ),
    inference(cnf_transformation,[],[f46]) ).

fof(f94,plain,
    ( e2 = op(e2,e2)
    | ~ sP12 ),
    inference(cnf_transformation,[],[f46]) ).

fof(f95,plain,
    ( e2 != op(e2,e3)
    | ~ sP11 ),
    inference(cnf_transformation,[],[f47]) ).

fof(f96,plain,
    ( e2 = op(e3,e3)
    | ~ sP11 ),
    inference(cnf_transformation,[],[f47]) ).

fof(f97,plain,
    ( e3 = op(e2,e2)
    | ~ sP11 ),
    inference(cnf_transformation,[],[f47]) ).

fof(f99,plain,
    ( e2 = op(e4,e4)
    | ~ sP10 ),
    inference(cnf_transformation,[],[f48]) ).

fof(f100,plain,
    ( e4 = op(e2,e2)
    | ~ sP10 ),
    inference(cnf_transformation,[],[f48]) ).

fof(f102,plain,
    ( op(e0,e0) = e3
    | ~ sP9 ),
    inference(cnf_transformation,[],[f49]) ).

fof(f103,plain,
    ( e0 = op(e3,e3)
    | ~ sP9 ),
    inference(cnf_transformation,[],[f49]) ).

fof(f105,plain,
    ( e3 = op(e1,e1)
    | ~ sP8 ),
    inference(cnf_transformation,[],[f50]) ).

fof(f108,plain,
    ( e3 = op(e2,e2)
    | ~ sP7 ),
    inference(cnf_transformation,[],[f51]) ).

fof(f109,plain,
    ( e2 = op(e3,e3)
    | ~ sP7 ),
    inference(cnf_transformation,[],[f51]) ).

fof(f110,plain,
    ( e3 != op(e3,e3)
    | ~ sP6 ),
    inference(cnf_transformation,[],[f52]) ).

fof(f112,plain,
    ( e3 = op(e3,e3)
    | ~ sP6 ),
    inference(cnf_transformation,[],[f52]) ).

fof(f114,plain,
    ( e3 = op(e4,e4)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f53]) ).

fof(f115,plain,
    ( e4 = op(e3,e3)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f53]) ).

fof(f117,plain,
    ( op(e0,e0) = e4
    | ~ sP4 ),
    inference(cnf_transformation,[],[f54]) ).

fof(f118,plain,
    ( e0 = op(e4,e4)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f54]) ).

fof(f121,plain,
    ( e1 = op(e4,e4)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f55]) ).

fof(f123,plain,
    ( e4 = op(e2,e2)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f56]) ).

fof(f124,plain,
    ( e2 = op(e4,e4)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f56]) ).

fof(f125,plain,
    ( e4 != op(e4,e3)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f57]) ).

fof(f126,plain,
    ( e4 = op(e3,e3)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f57]) ).

fof(f127,plain,
    ( e3 = op(e4,e4)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f57]) ).

fof(f128,plain,
    ( e4 != op(e4,e4)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f58]) ).

fof(f130,plain,
    ( e4 = op(e4,e4)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f58]) ).

fof(f131,plain,
    ( e0 != op(e0,e0)
    | sP23
    | sP22
    | sP21
    | sP20
    | sP19
    | sP18
    | sP17
    | sP16
    | sP15
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(cnf_transformation,[],[f34]) ).

fof(f133,plain,
    ( e0 = op(e0,e0)
    | sP23
    | sP22
    | sP21
    | sP20
    | sP19
    | sP18
    | sP17
    | sP16
    | sP15
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(cnf_transformation,[],[f34]) ).

fof(f135,plain,
    ( op(e0,e0) = e3
    | e3 = op(e1,e1)
    | e3 = op(e2,e2)
    | e3 = op(e3,e3)
    | e3 = op(e4,e4) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f136,plain,
    ( op(e0,e0) = e2
    | e2 = op(e1,e1)
    | e2 = op(e2,e2)
    | e2 = op(e3,e3)
    | e2 = op(e4,e4) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f137,plain,
    ( op(e0,e0) = e1
    | e1 = op(e1,e1)
    | e1 = op(e2,e2)
    | e1 = op(e3,e3)
    | e1 = op(e4,e4) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f138,plain,
    ( e0 = op(e0,e0)
    | e0 = op(e1,e1)
    | e0 = op(e2,e2)
    | e0 = op(e3,e3)
    | e0 = op(e4,e4) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f139,plain,
    e4 = op(e1,e1),
    inference(cnf_transformation,[],[f6]) ).

fof(f141,plain,
    e2 = op(op(e1,e1),op(e1,e1)),
    inference(cnf_transformation,[],[f6]) ).

fof(f142,plain,
    e0 = op(e1,op(op(e1,e1),op(e1,e1))),
    inference(cnf_transformation,[],[f6]) ).

fof(f143,plain,
    e3 != e4,
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    e2 != e4,
    inference(cnf_transformation,[],[f5]) ).

fof(f145,plain,
    e2 != e3,
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    e1 != e4,
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    e1 != e3,
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    e1 != e2,
    inference(cnf_transformation,[],[f5]) ).

fof(f149,plain,
    e0 != e4,
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    e0 != e3,
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    e0 != e2,
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    e0 != e1,
    inference(cnf_transformation,[],[f5]) ).

fof(f255,plain,
    ( e3 = op(e0,e4)
    | e3 = op(e1,e4)
    | e3 = op(e2,e4)
    | e3 = op(e3,e4)
    | e3 = op(e4,e4) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f256,plain,
    ( e3 = op(e4,e0)
    | e3 = op(e4,e1)
    | e3 = op(e4,e2)
    | e3 = op(e4,e3)
    | e3 = op(e4,e4) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f257,plain,
    ( e2 = op(e0,e4)
    | e2 = op(e1,e4)
    | e2 = op(e2,e4)
    | e2 = op(e3,e4)
    | e2 = op(e4,e4) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f258,plain,
    ( e2 = op(e4,e0)
    | e2 = op(e4,e1)
    | e2 = op(e4,e2)
    | e2 = op(e4,e3)
    | e2 = op(e4,e4) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f261,plain,
    ( e0 = op(e0,e4)
    | e0 = op(e1,e4)
    | e0 = op(e2,e4)
    | e0 = op(e3,e4)
    | e0 = op(e4,e4) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f262,plain,
    ( e0 = op(e4,e0)
    | e0 = op(e4,e1)
    | e0 = op(e4,e2)
    | e0 = op(e4,e3)
    | e0 = op(e4,e4) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f263,plain,
    ( e4 = op(e0,e3)
    | e4 = op(e1,e3)
    | e4 = op(e2,e3)
    | e4 = op(e3,e3)
    | e4 = op(e4,e3) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f264,plain,
    ( e4 = op(e3,e0)
    | e4 = op(e3,e1)
    | e4 = op(e3,e2)
    | e4 = op(e3,e3)
    | e4 = op(e3,e4) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f271,plain,
    ( e0 = op(e0,e3)
    | e0 = op(e1,e3)
    | e0 = op(e2,e3)
    | e0 = op(e3,e3)
    | e0 = op(e4,e3) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f272,plain,
    ( e0 = op(e3,e0)
    | e0 = op(e3,e1)
    | e0 = op(e3,e2)
    | e0 = op(e3,e3)
    | e0 = op(e3,e4) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f273,plain,
    ( e4 = op(e0,e2)
    | e4 = op(e1,e2)
    | e4 = op(e2,e2)
    | e4 = op(e3,e2)
    | e4 = op(e4,e2) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f274,plain,
    ( e4 = op(e2,e0)
    | e4 = op(e2,e1)
    | e4 = op(e2,e2)
    | e4 = op(e2,e3)
    | e4 = op(e2,e4) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f275,plain,
    ( e3 = op(e0,e2)
    | e3 = op(e1,e2)
    | e3 = op(e2,e2)
    | e3 = op(e3,e2)
    | e3 = op(e4,e2) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f276,plain,
    ( e3 = op(e2,e0)
    | e3 = op(e2,e1)
    | e3 = op(e2,e2)
    | e3 = op(e2,e3)
    | e3 = op(e2,e4) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f279,plain,
    ( e1 = op(e0,e2)
    | e1 = op(e1,e2)
    | e1 = op(e2,e2)
    | e1 = op(e3,e2)
    | e1 = op(e4,e2) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f280,plain,
    ( e1 = op(e2,e0)
    | e1 = op(e2,e1)
    | e1 = op(e2,e2)
    | e1 = op(e2,e3)
    | e1 = op(e2,e4) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f282,plain,
    ( e0 = op(e2,e0)
    | e0 = op(e2,e1)
    | e0 = op(e2,e2)
    | e0 = op(e2,e3)
    | e0 = op(e2,e4) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f285,plain,
    ( e3 = op(e0,e1)
    | e3 = op(e1,e1)
    | e3 = op(e2,e1)
    | e3 = op(e3,e1)
    | e3 = op(e4,e1) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f286,plain,
    ( e3 = op(e1,e0)
    | e3 = op(e1,e1)
    | e3 = op(e1,e2)
    | e3 = op(e1,e3)
    | e3 = op(e1,e4) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f287,plain,
    ( e2 = op(e0,e1)
    | e2 = op(e1,e1)
    | e2 = op(e2,e1)
    | e2 = op(e3,e1)
    | e2 = op(e4,e1) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f288,plain,
    ( e2 = op(e1,e0)
    | e2 = op(e1,e1)
    | e2 = op(e1,e2)
    | e2 = op(e1,e3)
    | e2 = op(e1,e4) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f291,plain,
    ( e0 = op(e0,e1)
    | e0 = op(e1,e1)
    | e0 = op(e2,e1)
    | e0 = op(e3,e1)
    | e0 = op(e4,e1) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f295,plain,
    ( op(e0,e0) = e3
    | e3 = op(e1,e0)
    | e3 = op(e2,e0)
    | e3 = op(e3,e0)
    | e3 = op(e4,e0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f296,plain,
    ( op(e0,e0) = e3
    | e3 = op(e0,e1)
    | e3 = op(e0,e2)
    | e3 = op(e0,e3)
    | e3 = op(e0,e4) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f303,plain,
    ( e0 = unit
    | e1 = unit
    | e2 = unit
    | e3 = unit
    | e4 = unit ),
    inference(cnf_transformation,[],[f2]) ).

fof(f304,plain,
    e4 = op(e4,unit),
    inference(cnf_transformation,[],[f2]) ).

fof(f305,plain,
    e4 = op(unit,e4),
    inference(cnf_transformation,[],[f2]) ).

fof(f306,plain,
    e3 = op(e3,unit),
    inference(cnf_transformation,[],[f2]) ).

fof(f307,plain,
    e3 = op(unit,e3),
    inference(cnf_transformation,[],[f2]) ).

fof(f308,plain,
    e2 = op(e2,unit),
    inference(cnf_transformation,[],[f2]) ).

fof(f309,plain,
    e2 = op(unit,e2),
    inference(cnf_transformation,[],[f2]) ).

fof(f310,plain,
    e1 = op(e1,unit),
    inference(cnf_transformation,[],[f2]) ).

fof(f311,plain,
    e1 = op(unit,e1),
    inference(cnf_transformation,[],[f2]) ).

fof(f312,plain,
    e0 = op(e0,unit),
    inference(cnf_transformation,[],[f2]) ).

fof(f314,plain,
    ( e0 = op(e4,e4)
    | e1 = op(e4,e4)
    | e2 = op(e4,e4)
    | e3 = op(e4,e4)
    | e4 = op(e4,e4) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f340,definition,
    ( spl24_1
  <=> e4 = op(e4,e4) ),
    introduced(definition,[new_symbols(definition,[spl24_1])],[avatar_definition]) ).

fof(f342,plain,
    ( e4 = op(e4,e4)
    | ~ spl24_1 ),
    inference(avatar_component_clause,[],[f340]) ).

fof(f344,definition,
    ( spl24_2
  <=> e3 = op(e4,e4) ),
    introduced(definition,[new_symbols(definition,[spl24_2])],[avatar_definition]) ).

fof(f346,plain,
    ( e3 = op(e4,e4)
    | ~ spl24_2 ),
    inference(avatar_component_clause,[],[f344]) ).

fof(f348,definition,
    ( spl24_3
  <=> e2 = op(e4,e4) ),
    introduced(definition,[new_symbols(definition,[spl24_3])],[avatar_definition]) ).

fof(f350,plain,
    ( e2 = op(e4,e4)
    | ~ spl24_3 ),
    inference(avatar_component_clause,[],[f348]) ).

fof(f352,definition,
    ( spl24_4
  <=> e1 = op(e4,e4) ),
    introduced(definition,[new_symbols(definition,[spl24_4])],[avatar_definition]) ).

fof(f354,plain,
    ( e1 = op(e4,e4)
    | ~ spl24_4 ),
    inference(avatar_component_clause,[],[f352]) ).

fof(f356,definition,
    ( spl24_5
  <=> e0 = op(e4,e4) ),
    introduced(definition,[new_symbols(definition,[spl24_5])],[avatar_definition]) ).

fof(f358,plain,
    ( e0 = op(e4,e4)
    | ~ spl24_5 ),
    inference(avatar_component_clause,[],[f356]) ).

fof(f359,plain,
    ( spl24_1
    | spl24_2
    | spl24_3
    | spl24_4
    | spl24_5 ),
    inference(avatar_split_clause,[],[f314,f356,f352,f348,f344,f340]) ).

fof(f361,definition,
    ( spl24_6
  <=> e4 = op(e4,e3) ),
    introduced(definition,[new_symbols(definition,[spl24_6])],[avatar_definition]) ).

fof(f362,plain,
    ( e4 != op(e4,e3)
    | spl24_6 ),
    inference(avatar_component_clause,[],[f361]) ).

fof(f363,plain,
    ( e4 = op(e4,e3)
    | ~ spl24_6 ),
    inference(avatar_component_clause,[],[f361]) ).

fof(f365,definition,
    ( spl24_7
  <=> e3 = op(e4,e3) ),
    introduced(definition,[new_symbols(definition,[spl24_7])],[avatar_definition]) ).

fof(f367,plain,
    ( e3 = op(e4,e3)
    | ~ spl24_7 ),
    inference(avatar_component_clause,[],[f365]) ).

fof(f369,definition,
    ( spl24_8
  <=> e2 = op(e4,e3) ),
    introduced(definition,[new_symbols(definition,[spl24_8])],[avatar_definition]) ).

fof(f371,plain,
    ( e2 = op(e4,e3)
    | ~ spl24_8 ),
    inference(avatar_component_clause,[],[f369]) ).

fof(f377,definition,
    ( spl24_10
  <=> e0 = op(e4,e3) ),
    introduced(definition,[new_symbols(definition,[spl24_10])],[avatar_definition]) ).

fof(f379,plain,
    ( e0 = op(e4,e3)
    | ~ spl24_10 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f382,definition,
    ( spl24_11
  <=> e4 = op(e4,e2) ),
    introduced(definition,[new_symbols(definition,[spl24_11])],[avatar_definition]) ).

fof(f384,plain,
    ( e4 = op(e4,e2)
    | ~ spl24_11 ),
    inference(avatar_component_clause,[],[f382]) ).

fof(f386,definition,
    ( spl24_12
  <=> e3 = op(e4,e2) ),
    introduced(definition,[new_symbols(definition,[spl24_12])],[avatar_definition]) ).

fof(f388,plain,
    ( e3 = op(e4,e2)
    | ~ spl24_12 ),
    inference(avatar_component_clause,[],[f386]) ).

fof(f390,definition,
    ( spl24_13
  <=> e2 = op(e4,e2) ),
    introduced(definition,[new_symbols(definition,[spl24_13])],[avatar_definition]) ).

fof(f391,plain,
    ( e2 != op(e4,e2)
    | spl24_13 ),
    inference(avatar_component_clause,[],[f390]) ).

fof(f392,plain,
    ( e2 = op(e4,e2)
    | ~ spl24_13 ),
    inference(avatar_component_clause,[],[f390]) ).

fof(f394,definition,
    ( spl24_14
  <=> e1 = op(e4,e2) ),
    introduced(definition,[new_symbols(definition,[spl24_14])],[avatar_definition]) ).

fof(f396,plain,
    ( e1 = op(e4,e2)
    | ~ spl24_14 ),
    inference(avatar_component_clause,[],[f394]) ).

fof(f398,definition,
    ( spl24_15
  <=> e0 = op(e4,e2) ),
    introduced(definition,[new_symbols(definition,[spl24_15])],[avatar_definition]) ).

fof(f400,plain,
    ( e0 = op(e4,e2)
    | ~ spl24_15 ),
    inference(avatar_component_clause,[],[f398]) ).

fof(f407,definition,
    ( spl24_17
  <=> e3 = op(e4,e1) ),
    introduced(definition,[new_symbols(definition,[spl24_17])],[avatar_definition]) ).

fof(f409,plain,
    ( e3 = op(e4,e1)
    | ~ spl24_17 ),
    inference(avatar_component_clause,[],[f407]) ).

fof(f411,definition,
    ( spl24_18
  <=> e2 = op(e4,e1) ),
    introduced(definition,[new_symbols(definition,[spl24_18])],[avatar_definition]) ).

fof(f413,plain,
    ( e2 = op(e4,e1)
    | ~ spl24_18 ),
    inference(avatar_component_clause,[],[f411]) ).

fof(f419,definition,
    ( spl24_20
  <=> e0 = op(e4,e1) ),
    introduced(definition,[new_symbols(definition,[spl24_20])],[avatar_definition]) ).

fof(f421,plain,
    ( e0 = op(e4,e1)
    | ~ spl24_20 ),
    inference(avatar_component_clause,[],[f419]) ).

fof(f428,definition,
    ( spl24_22
  <=> e3 = op(e4,e0) ),
    introduced(definition,[new_symbols(definition,[spl24_22])],[avatar_definition]) ).

fof(f430,plain,
    ( e3 = op(e4,e0)
    | ~ spl24_22 ),
    inference(avatar_component_clause,[],[f428]) ).

fof(f432,definition,
    ( spl24_23
  <=> e2 = op(e4,e0) ),
    introduced(definition,[new_symbols(definition,[spl24_23])],[avatar_definition]) ).

fof(f434,plain,
    ( e2 = op(e4,e0)
    | ~ spl24_23 ),
    inference(avatar_component_clause,[],[f432]) ).

fof(f440,definition,
    ( spl24_25
  <=> e0 = op(e4,e0) ),
    introduced(definition,[new_symbols(definition,[spl24_25])],[avatar_definition]) ).

fof(f442,plain,
    ( e0 = op(e4,e0)
    | ~ spl24_25 ),
    inference(avatar_component_clause,[],[f440]) ).

fof(f445,definition,
    ( spl24_26
  <=> e4 = op(e3,e4) ),
    introduced(definition,[new_symbols(definition,[spl24_26])],[avatar_definition]) ).

fof(f447,plain,
    ( e4 = op(e3,e4)
    | ~ spl24_26 ),
    inference(avatar_component_clause,[],[f445]) ).

fof(f449,definition,
    ( spl24_27
  <=> e3 = op(e3,e4) ),
    introduced(definition,[new_symbols(definition,[spl24_27])],[avatar_definition]) ).

fof(f451,plain,
    ( e3 = op(e3,e4)
    | ~ spl24_27 ),
    inference(avatar_component_clause,[],[f449]) ).

fof(f453,definition,
    ( spl24_28
  <=> e2 = op(e3,e4) ),
    introduced(definition,[new_symbols(definition,[spl24_28])],[avatar_definition]) ).

fof(f455,plain,
    ( e2 = op(e3,e4)
    | ~ spl24_28 ),
    inference(avatar_component_clause,[],[f453]) ).

fof(f461,definition,
    ( spl24_30
  <=> e0 = op(e3,e4) ),
    introduced(definition,[new_symbols(definition,[spl24_30])],[avatar_definition]) ).

fof(f463,plain,
    ( e0 = op(e3,e4)
    | ~ spl24_30 ),
    inference(avatar_component_clause,[],[f461]) ).

fof(f466,definition,
    ( spl24_31
  <=> e4 = op(e3,e3) ),
    introduced(definition,[new_symbols(definition,[spl24_31])],[avatar_definition]) ).

fof(f468,plain,
    ( e4 = op(e3,e3)
    | ~ spl24_31 ),
    inference(avatar_component_clause,[],[f466]) ).

fof(f470,definition,
    ( spl24_32
  <=> e3 = op(e3,e3) ),
    introduced(definition,[new_symbols(definition,[spl24_32])],[avatar_definition]) ).

fof(f472,plain,
    ( e3 = op(e3,e3)
    | ~ spl24_32 ),
    inference(avatar_component_clause,[],[f470]) ).

fof(f474,definition,
    ( spl24_33
  <=> e2 = op(e3,e3) ),
    introduced(definition,[new_symbols(definition,[spl24_33])],[avatar_definition]) ).

fof(f476,plain,
    ( e2 = op(e3,e3)
    | ~ spl24_33 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f478,definition,
    ( spl24_34
  <=> e1 = op(e3,e3) ),
    introduced(definition,[new_symbols(definition,[spl24_34])],[avatar_definition]) ).

fof(f480,plain,
    ( e1 = op(e3,e3)
    | ~ spl24_34 ),
    inference(avatar_component_clause,[],[f478]) ).

fof(f482,definition,
    ( spl24_35
  <=> e0 = op(e3,e3) ),
    introduced(definition,[new_symbols(definition,[spl24_35])],[avatar_definition]) ).

fof(f484,plain,
    ( e0 = op(e3,e3)
    | ~ spl24_35 ),
    inference(avatar_component_clause,[],[f482]) ).

fof(f487,definition,
    ( spl24_36
  <=> e4 = op(e3,e2) ),
    introduced(definition,[new_symbols(definition,[spl24_36])],[avatar_definition]) ).

fof(f489,plain,
    ( e4 = op(e3,e2)
    | ~ spl24_36 ),
    inference(avatar_component_clause,[],[f487]) ).

fof(f491,definition,
    ( spl24_37
  <=> e3 = op(e3,e2) ),
    introduced(definition,[new_symbols(definition,[spl24_37])],[avatar_definition]) ).

fof(f493,plain,
    ( e3 = op(e3,e2)
    | ~ spl24_37 ),
    inference(avatar_component_clause,[],[f491]) ).

fof(f495,definition,
    ( spl24_38
  <=> e2 = op(e3,e2) ),
    introduced(definition,[new_symbols(definition,[spl24_38])],[avatar_definition]) ).

fof(f497,plain,
    ( e2 = op(e3,e2)
    | ~ spl24_38 ),
    inference(avatar_component_clause,[],[f495]) ).

fof(f499,definition,
    ( spl24_39
  <=> e1 = op(e3,e2) ),
    introduced(definition,[new_symbols(definition,[spl24_39])],[avatar_definition]) ).

fof(f501,plain,
    ( e1 = op(e3,e2)
    | ~ spl24_39 ),
    inference(avatar_component_clause,[],[f499]) ).

fof(f503,definition,
    ( spl24_40
  <=> e0 = op(e3,e2) ),
    introduced(definition,[new_symbols(definition,[spl24_40])],[avatar_definition]) ).

fof(f505,plain,
    ( e0 = op(e3,e2)
    | ~ spl24_40 ),
    inference(avatar_component_clause,[],[f503]) ).

fof(f508,definition,
    ( spl24_41
  <=> e4 = op(e3,e1) ),
    introduced(definition,[new_symbols(definition,[spl24_41])],[avatar_definition]) ).

fof(f510,plain,
    ( e4 = op(e3,e1)
    | ~ spl24_41 ),
    inference(avatar_component_clause,[],[f508]) ).

fof(f512,definition,
    ( spl24_42
  <=> e3 = op(e3,e1) ),
    introduced(definition,[new_symbols(definition,[spl24_42])],[avatar_definition]) ).

fof(f514,plain,
    ( e3 = op(e3,e1)
    | ~ spl24_42 ),
    inference(avatar_component_clause,[],[f512]) ).

fof(f516,definition,
    ( spl24_43
  <=> e2 = op(e3,e1) ),
    introduced(definition,[new_symbols(definition,[spl24_43])],[avatar_definition]) ).

fof(f518,plain,
    ( e2 = op(e3,e1)
    | ~ spl24_43 ),
    inference(avatar_component_clause,[],[f516]) ).

fof(f524,definition,
    ( spl24_45
  <=> e0 = op(e3,e1) ),
    introduced(definition,[new_symbols(definition,[spl24_45])],[avatar_definition]) ).

fof(f526,plain,
    ( e0 = op(e3,e1)
    | ~ spl24_45 ),
    inference(avatar_component_clause,[],[f524]) ).

fof(f529,definition,
    ( spl24_46
  <=> e4 = op(e3,e0) ),
    introduced(definition,[new_symbols(definition,[spl24_46])],[avatar_definition]) ).

fof(f531,plain,
    ( e4 = op(e3,e0)
    | ~ spl24_46 ),
    inference(avatar_component_clause,[],[f529]) ).

fof(f533,definition,
    ( spl24_47
  <=> e3 = op(e3,e0) ),
    introduced(definition,[new_symbols(definition,[spl24_47])],[avatar_definition]) ).

fof(f535,plain,
    ( e3 = op(e3,e0)
    | ~ spl24_47 ),
    inference(avatar_component_clause,[],[f533]) ).

fof(f545,definition,
    ( spl24_50
  <=> e0 = op(e3,e0) ),
    introduced(definition,[new_symbols(definition,[spl24_50])],[avatar_definition]) ).

fof(f547,plain,
    ( e0 = op(e3,e0)
    | ~ spl24_50 ),
    inference(avatar_component_clause,[],[f545]) ).

fof(f550,definition,
    ( spl24_51
  <=> e4 = op(e2,e4) ),
    introduced(definition,[new_symbols(definition,[spl24_51])],[avatar_definition]) ).

fof(f552,plain,
    ( e4 = op(e2,e4)
    | ~ spl24_51 ),
    inference(avatar_component_clause,[],[f550]) ).

fof(f554,definition,
    ( spl24_52
  <=> e3 = op(e2,e4) ),
    introduced(definition,[new_symbols(definition,[spl24_52])],[avatar_definition]) ).

fof(f556,plain,
    ( e3 = op(e2,e4)
    | ~ spl24_52 ),
    inference(avatar_component_clause,[],[f554]) ).

fof(f558,definition,
    ( spl24_53
  <=> e2 = op(e2,e4) ),
    introduced(definition,[new_symbols(definition,[spl24_53])],[avatar_definition]) ).

fof(f560,plain,
    ( e2 = op(e2,e4)
    | ~ spl24_53 ),
    inference(avatar_component_clause,[],[f558]) ).

fof(f562,definition,
    ( spl24_54
  <=> e1 = op(e2,e4) ),
    introduced(definition,[new_symbols(definition,[spl24_54])],[avatar_definition]) ).

fof(f564,plain,
    ( e1 = op(e2,e4)
    | ~ spl24_54 ),
    inference(avatar_component_clause,[],[f562]) ).

fof(f566,definition,
    ( spl24_55
  <=> e0 = op(e2,e4) ),
    introduced(definition,[new_symbols(definition,[spl24_55])],[avatar_definition]) ).

fof(f568,plain,
    ( e0 = op(e2,e4)
    | ~ spl24_55 ),
    inference(avatar_component_clause,[],[f566]) ).

fof(f571,definition,
    ( spl24_56
  <=> e4 = op(e2,e3) ),
    introduced(definition,[new_symbols(definition,[spl24_56])],[avatar_definition]) ).

fof(f573,plain,
    ( e4 = op(e2,e3)
    | ~ spl24_56 ),
    inference(avatar_component_clause,[],[f571]) ).

fof(f575,definition,
    ( spl24_57
  <=> e3 = op(e2,e3) ),
    introduced(definition,[new_symbols(definition,[spl24_57])],[avatar_definition]) ).

fof(f577,plain,
    ( e3 = op(e2,e3)
    | ~ spl24_57 ),
    inference(avatar_component_clause,[],[f575]) ).

fof(f579,definition,
    ( spl24_58
  <=> e2 = op(e2,e3) ),
    introduced(definition,[new_symbols(definition,[spl24_58])],[avatar_definition]) ).

fof(f581,plain,
    ( e2 = op(e2,e3)
    | ~ spl24_58 ),
    inference(avatar_component_clause,[],[f579]) ).

fof(f583,definition,
    ( spl24_59
  <=> e1 = op(e2,e3) ),
    introduced(definition,[new_symbols(definition,[spl24_59])],[avatar_definition]) ).

fof(f585,plain,
    ( e1 = op(e2,e3)
    | ~ spl24_59 ),
    inference(avatar_component_clause,[],[f583]) ).

fof(f587,definition,
    ( spl24_60
  <=> e0 = op(e2,e3) ),
    introduced(definition,[new_symbols(definition,[spl24_60])],[avatar_definition]) ).

fof(f589,plain,
    ( e0 = op(e2,e3)
    | ~ spl24_60 ),
    inference(avatar_component_clause,[],[f587]) ).

fof(f592,definition,
    ( spl24_61
  <=> e4 = op(e2,e2) ),
    introduced(definition,[new_symbols(definition,[spl24_61])],[avatar_definition]) ).

fof(f594,plain,
    ( e4 = op(e2,e2)
    | ~ spl24_61 ),
    inference(avatar_component_clause,[],[f592]) ).

fof(f596,definition,
    ( spl24_62
  <=> e3 = op(e2,e2) ),
    introduced(definition,[new_symbols(definition,[spl24_62])],[avatar_definition]) ).

fof(f598,plain,
    ( e3 = op(e2,e2)
    | ~ spl24_62 ),
    inference(avatar_component_clause,[],[f596]) ).

fof(f600,definition,
    ( spl24_63
  <=> e2 = op(e2,e2) ),
    introduced(definition,[new_symbols(definition,[spl24_63])],[avatar_definition]) ).

fof(f602,plain,
    ( e2 = op(e2,e2)
    | ~ spl24_63 ),
    inference(avatar_component_clause,[],[f600]) ).

fof(f604,definition,
    ( spl24_64
  <=> e1 = op(e2,e2) ),
    introduced(definition,[new_symbols(definition,[spl24_64])],[avatar_definition]) ).

fof(f606,plain,
    ( e1 = op(e2,e2)
    | ~ spl24_64 ),
    inference(avatar_component_clause,[],[f604]) ).

fof(f608,definition,
    ( spl24_65
  <=> e0 = op(e2,e2) ),
    introduced(definition,[new_symbols(definition,[spl24_65])],[avatar_definition]) ).

fof(f610,plain,
    ( e0 = op(e2,e2)
    | ~ spl24_65 ),
    inference(avatar_component_clause,[],[f608]) ).

fof(f613,definition,
    ( spl24_66
  <=> e4 = op(e2,e1) ),
    introduced(definition,[new_symbols(definition,[spl24_66])],[avatar_definition]) ).

fof(f615,plain,
    ( e4 = op(e2,e1)
    | ~ spl24_66 ),
    inference(avatar_component_clause,[],[f613]) ).

fof(f617,definition,
    ( spl24_67
  <=> e3 = op(e2,e1) ),
    introduced(definition,[new_symbols(definition,[spl24_67])],[avatar_definition]) ).

fof(f619,plain,
    ( e3 = op(e2,e1)
    | ~ spl24_67 ),
    inference(avatar_component_clause,[],[f617]) ).

fof(f621,definition,
    ( spl24_68
  <=> e2 = op(e2,e1) ),
    introduced(definition,[new_symbols(definition,[spl24_68])],[avatar_definition]) ).

fof(f623,plain,
    ( e2 = op(e2,e1)
    | ~ spl24_68 ),
    inference(avatar_component_clause,[],[f621]) ).

fof(f625,definition,
    ( spl24_69
  <=> e1 = op(e2,e1) ),
    introduced(definition,[new_symbols(definition,[spl24_69])],[avatar_definition]) ).

fof(f627,plain,
    ( e1 = op(e2,e1)
    | ~ spl24_69 ),
    inference(avatar_component_clause,[],[f625]) ).

fof(f629,definition,
    ( spl24_70
  <=> e0 = op(e2,e1) ),
    introduced(definition,[new_symbols(definition,[spl24_70])],[avatar_definition]) ).

fof(f631,plain,
    ( e0 = op(e2,e1)
    | ~ spl24_70 ),
    inference(avatar_component_clause,[],[f629]) ).

fof(f634,definition,
    ( spl24_71
  <=> e4 = op(e2,e0) ),
    introduced(definition,[new_symbols(definition,[spl24_71])],[avatar_definition]) ).

fof(f636,plain,
    ( e4 = op(e2,e0)
    | ~ spl24_71 ),
    inference(avatar_component_clause,[],[f634]) ).

fof(f638,definition,
    ( spl24_72
  <=> e3 = op(e2,e0) ),
    introduced(definition,[new_symbols(definition,[spl24_72])],[avatar_definition]) ).

fof(f640,plain,
    ( e3 = op(e2,e0)
    | ~ spl24_72 ),
    inference(avatar_component_clause,[],[f638]) ).

fof(f642,definition,
    ( spl24_73
  <=> e2 = op(e2,e0) ),
    introduced(definition,[new_symbols(definition,[spl24_73])],[avatar_definition]) ).

fof(f644,plain,
    ( e2 = op(e2,e0)
    | ~ spl24_73 ),
    inference(avatar_component_clause,[],[f642]) ).

fof(f646,definition,
    ( spl24_74
  <=> e1 = op(e2,e0) ),
    introduced(definition,[new_symbols(definition,[spl24_74])],[avatar_definition]) ).

fof(f648,plain,
    ( e1 = op(e2,e0)
    | ~ spl24_74 ),
    inference(avatar_component_clause,[],[f646]) ).

fof(f650,definition,
    ( spl24_75
  <=> e0 = op(e2,e0) ),
    introduced(definition,[new_symbols(definition,[spl24_75])],[avatar_definition]) ).

fof(f652,plain,
    ( e0 = op(e2,e0)
    | ~ spl24_75 ),
    inference(avatar_component_clause,[],[f650]) ).

fof(f659,definition,
    ( spl24_77
  <=> e3 = op(e1,e4) ),
    introduced(definition,[new_symbols(definition,[spl24_77])],[avatar_definition]) ).

fof(f661,plain,
    ( e3 = op(e1,e4)
    | ~ spl24_77 ),
    inference(avatar_component_clause,[],[f659]) ).

fof(f663,definition,
    ( spl24_78
  <=> e2 = op(e1,e4) ),
    introduced(definition,[new_symbols(definition,[spl24_78])],[avatar_definition]) ).

fof(f665,plain,
    ( e2 = op(e1,e4)
    | ~ spl24_78 ),
    inference(avatar_component_clause,[],[f663]) ).

fof(f671,definition,
    ( spl24_80
  <=> e0 = op(e1,e4) ),
    introduced(definition,[new_symbols(definition,[spl24_80])],[avatar_definition]) ).

fof(f673,plain,
    ( e0 = op(e1,e4)
    | ~ spl24_80 ),
    inference(avatar_component_clause,[],[f671]) ).

fof(f676,definition,
    ( spl24_81
  <=> e4 = op(e1,e3) ),
    introduced(definition,[new_symbols(definition,[spl24_81])],[avatar_definition]) ).

fof(f678,plain,
    ( e4 = op(e1,e3)
    | ~ spl24_81 ),
    inference(avatar_component_clause,[],[f676]) ).

fof(f680,definition,
    ( spl24_82
  <=> e3 = op(e1,e3) ),
    introduced(definition,[new_symbols(definition,[spl24_82])],[avatar_definition]) ).

fof(f682,plain,
    ( e3 = op(e1,e3)
    | ~ spl24_82 ),
    inference(avatar_component_clause,[],[f680]) ).

fof(f684,definition,
    ( spl24_83
  <=> e2 = op(e1,e3) ),
    introduced(definition,[new_symbols(definition,[spl24_83])],[avatar_definition]) ).

fof(f686,plain,
    ( e2 = op(e1,e3)
    | ~ spl24_83 ),
    inference(avatar_component_clause,[],[f684]) ).

fof(f692,definition,
    ( spl24_85
  <=> e0 = op(e1,e3) ),
    introduced(definition,[new_symbols(definition,[spl24_85])],[avatar_definition]) ).

fof(f694,plain,
    ( e0 = op(e1,e3)
    | ~ spl24_85 ),
    inference(avatar_component_clause,[],[f692]) ).

fof(f697,definition,
    ( spl24_86
  <=> e4 = op(e1,e2) ),
    introduced(definition,[new_symbols(definition,[spl24_86])],[avatar_definition]) ).

fof(f699,plain,
    ( e4 = op(e1,e2)
    | ~ spl24_86 ),
    inference(avatar_component_clause,[],[f697]) ).

fof(f701,definition,
    ( spl24_87
  <=> e3 = op(e1,e2) ),
    introduced(definition,[new_symbols(definition,[spl24_87])],[avatar_definition]) ).

fof(f703,plain,
    ( e3 = op(e1,e2)
    | ~ spl24_87 ),
    inference(avatar_component_clause,[],[f701]) ).

fof(f705,definition,
    ( spl24_88
  <=> e2 = op(e1,e2) ),
    introduced(definition,[new_symbols(definition,[spl24_88])],[avatar_definition]) ).

fof(f707,plain,
    ( e2 = op(e1,e2)
    | ~ spl24_88 ),
    inference(avatar_component_clause,[],[f705]) ).

fof(f709,definition,
    ( spl24_89
  <=> e1 = op(e1,e2) ),
    introduced(definition,[new_symbols(definition,[spl24_89])],[avatar_definition]) ).

fof(f711,plain,
    ( e1 = op(e1,e2)
    | ~ spl24_89 ),
    inference(avatar_component_clause,[],[f709]) ).

fof(f713,definition,
    ( spl24_90
  <=> e0 = op(e1,e2) ),
    introduced(definition,[new_symbols(definition,[spl24_90])],[avatar_definition]) ).

fof(f715,plain,
    ( e0 = op(e1,e2)
    | ~ spl24_90 ),
    inference(avatar_component_clause,[],[f713]) ).

fof(f718,definition,
    ( spl24_91
  <=> e4 = op(e1,e1) ),
    introduced(definition,[new_symbols(definition,[spl24_91])],[avatar_definition]) ).

fof(f720,plain,
    ( e4 = op(e1,e1)
    | ~ spl24_91 ),
    inference(avatar_component_clause,[],[f718]) ).

fof(f722,definition,
    ( spl24_92
  <=> e3 = op(e1,e1) ),
    introduced(definition,[new_symbols(definition,[spl24_92])],[avatar_definition]) ).

fof(f724,plain,
    ( e3 = op(e1,e1)
    | ~ spl24_92 ),
    inference(avatar_component_clause,[],[f722]) ).

fof(f726,definition,
    ( spl24_93
  <=> e2 = op(e1,e1) ),
    introduced(definition,[new_symbols(definition,[spl24_93])],[avatar_definition]) ).

fof(f728,plain,
    ( e2 = op(e1,e1)
    | ~ spl24_93 ),
    inference(avatar_component_clause,[],[f726]) ).

fof(f730,definition,
    ( spl24_94
  <=> e1 = op(e1,e1) ),
    introduced(definition,[new_symbols(definition,[spl24_94])],[avatar_definition]) ).

fof(f732,plain,
    ( e1 = op(e1,e1)
    | ~ spl24_94 ),
    inference(avatar_component_clause,[],[f730]) ).

fof(f734,definition,
    ( spl24_95
  <=> e0 = op(e1,e1) ),
    introduced(definition,[new_symbols(definition,[spl24_95])],[avatar_definition]) ).

fof(f736,plain,
    ( e0 = op(e1,e1)
    | ~ spl24_95 ),
    inference(avatar_component_clause,[],[f734]) ).

fof(f743,definition,
    ( spl24_97
  <=> e3 = op(e1,e0) ),
    introduced(definition,[new_symbols(definition,[spl24_97])],[avatar_definition]) ).

fof(f745,plain,
    ( e3 = op(e1,e0)
    | ~ spl24_97 ),
    inference(avatar_component_clause,[],[f743]) ).

fof(f747,definition,
    ( spl24_98
  <=> e2 = op(e1,e0) ),
    introduced(definition,[new_symbols(definition,[spl24_98])],[avatar_definition]) ).

fof(f749,plain,
    ( e2 = op(e1,e0)
    | ~ spl24_98 ),
    inference(avatar_component_clause,[],[f747]) ).

fof(f751,definition,
    ( spl24_99
  <=> e1 = op(e1,e0) ),
    introduced(definition,[new_symbols(definition,[spl24_99])],[avatar_definition]) ).

fof(f753,plain,
    ( e1 = op(e1,e0)
    | ~ spl24_99 ),
    inference(avatar_component_clause,[],[f751]) ).

fof(f764,definition,
    ( spl24_102
  <=> e3 = op(e0,e4) ),
    introduced(definition,[new_symbols(definition,[spl24_102])],[avatar_definition]) ).

fof(f766,plain,
    ( e3 = op(e0,e4)
    | ~ spl24_102 ),
    inference(avatar_component_clause,[],[f764]) ).

fof(f768,definition,
    ( spl24_103
  <=> e2 = op(e0,e4) ),
    introduced(definition,[new_symbols(definition,[spl24_103])],[avatar_definition]) ).

fof(f770,plain,
    ( e2 = op(e0,e4)
    | ~ spl24_103 ),
    inference(avatar_component_clause,[],[f768]) ).

fof(f776,definition,
    ( spl24_105
  <=> e0 = op(e0,e4) ),
    introduced(definition,[new_symbols(definition,[spl24_105])],[avatar_definition]) ).

fof(f778,plain,
    ( e0 = op(e0,e4)
    | ~ spl24_105 ),
    inference(avatar_component_clause,[],[f776]) ).

fof(f781,definition,
    ( spl24_106
  <=> e4 = op(e0,e3) ),
    introduced(definition,[new_symbols(definition,[spl24_106])],[avatar_definition]) ).

fof(f783,plain,
    ( e4 = op(e0,e3)
    | ~ spl24_106 ),
    inference(avatar_component_clause,[],[f781]) ).

fof(f785,definition,
    ( spl24_107
  <=> e3 = op(e0,e3) ),
    introduced(definition,[new_symbols(definition,[spl24_107])],[avatar_definition]) ).

fof(f787,plain,
    ( e3 = op(e0,e3)
    | ~ spl24_107 ),
    inference(avatar_component_clause,[],[f785]) ).

fof(f797,definition,
    ( spl24_110
  <=> e0 = op(e0,e3) ),
    introduced(definition,[new_symbols(definition,[spl24_110])],[avatar_definition]) ).

fof(f799,plain,
    ( e0 = op(e0,e3)
    | ~ spl24_110 ),
    inference(avatar_component_clause,[],[f797]) ).

fof(f802,definition,
    ( spl24_111
  <=> e4 = op(e0,e2) ),
    introduced(definition,[new_symbols(definition,[spl24_111])],[avatar_definition]) ).

fof(f804,plain,
    ( e4 = op(e0,e2)
    | ~ spl24_111 ),
    inference(avatar_component_clause,[],[f802]) ).

fof(f806,definition,
    ( spl24_112
  <=> e3 = op(e0,e2) ),
    introduced(definition,[new_symbols(definition,[spl24_112])],[avatar_definition]) ).

fof(f808,plain,
    ( e3 = op(e0,e2)
    | ~ spl24_112 ),
    inference(avatar_component_clause,[],[f806]) ).

fof(f810,definition,
    ( spl24_113
  <=> e2 = op(e0,e2) ),
    introduced(definition,[new_symbols(definition,[spl24_113])],[avatar_definition]) ).

fof(f812,plain,
    ( e2 = op(e0,e2)
    | ~ spl24_113 ),
    inference(avatar_component_clause,[],[f810]) ).

fof(f814,definition,
    ( spl24_114
  <=> e1 = op(e0,e2) ),
    introduced(definition,[new_symbols(definition,[spl24_114])],[avatar_definition]) ).

fof(f816,plain,
    ( e1 = op(e0,e2)
    | ~ spl24_114 ),
    inference(avatar_component_clause,[],[f814]) ).

fof(f827,definition,
    ( spl24_117
  <=> e3 = op(e0,e1) ),
    introduced(definition,[new_symbols(definition,[spl24_117])],[avatar_definition]) ).

fof(f829,plain,
    ( e3 = op(e0,e1)
    | ~ spl24_117 ),
    inference(avatar_component_clause,[],[f827]) ).

fof(f831,definition,
    ( spl24_118
  <=> e2 = op(e0,e1) ),
    introduced(definition,[new_symbols(definition,[spl24_118])],[avatar_definition]) ).

fof(f833,plain,
    ( e2 = op(e0,e1)
    | ~ spl24_118 ),
    inference(avatar_component_clause,[],[f831]) ).

fof(f835,definition,
    ( spl24_119
  <=> e1 = op(e0,e1) ),
    introduced(definition,[new_symbols(definition,[spl24_119])],[avatar_definition]) ).

fof(f837,plain,
    ( e1 = op(e0,e1)
    | ~ spl24_119 ),
    inference(avatar_component_clause,[],[f835]) ).

fof(f839,definition,
    ( spl24_120
  <=> e0 = op(e0,e1) ),
    introduced(definition,[new_symbols(definition,[spl24_120])],[avatar_definition]) ).

fof(f841,plain,
    ( e0 = op(e0,e1)
    | ~ spl24_120 ),
    inference(avatar_component_clause,[],[f839]) ).

fof(f844,definition,
    ( spl24_121
  <=> op(e0,e0) = e4 ),
    introduced(definition,[new_symbols(definition,[spl24_121])],[avatar_definition]) ).

fof(f846,plain,
    ( op(e0,e0) = e4
    | ~ spl24_121 ),
    inference(avatar_component_clause,[],[f844]) ).

fof(f848,definition,
    ( spl24_122
  <=> op(e0,e0) = e3 ),
    introduced(definition,[new_symbols(definition,[spl24_122])],[avatar_definition]) ).

fof(f850,plain,
    ( op(e0,e0) = e3
    | ~ spl24_122 ),
    inference(avatar_component_clause,[],[f848]) ).

fof(f852,definition,
    ( spl24_123
  <=> op(e0,e0) = e2 ),
    introduced(definition,[new_symbols(definition,[spl24_123])],[avatar_definition]) ).

fof(f854,plain,
    ( op(e0,e0) = e2
    | ~ spl24_123 ),
    inference(avatar_component_clause,[],[f852]) ).

fof(f856,definition,
    ( spl24_124
  <=> op(e0,e0) = e1 ),
    introduced(definition,[new_symbols(definition,[spl24_124])],[avatar_definition]) ).

fof(f858,plain,
    ( op(e0,e0) = e1
    | ~ spl24_124 ),
    inference(avatar_component_clause,[],[f856]) ).

fof(f860,definition,
    ( spl24_125
  <=> e0 = op(e0,e0) ),
    introduced(definition,[new_symbols(definition,[spl24_125])],[avatar_definition]) ).

fof(f862,plain,
    ( e0 = op(e0,e0)
    | ~ spl24_125 ),
    inference(avatar_component_clause,[],[f860]) ).

fof(f865,definition,
    ( spl24_126
  <=> e4 = unit ),
    introduced(definition,[new_symbols(definition,[spl24_126])],[avatar_definition]) ).

fof(f867,plain,
    ( e4 = unit
    | ~ spl24_126 ),
    inference(avatar_component_clause,[],[f865]) ).

fof(f869,definition,
    ( spl24_127
  <=> e3 = unit ),
    introduced(definition,[new_symbols(definition,[spl24_127])],[avatar_definition]) ).

fof(f871,plain,
    ( e3 = unit
    | ~ spl24_127 ),
    inference(avatar_component_clause,[],[f869]) ).

fof(f873,definition,
    ( spl24_128
  <=> e2 = unit ),
    introduced(definition,[new_symbols(definition,[spl24_128])],[avatar_definition]) ).

fof(f875,plain,
    ( e2 = unit
    | ~ spl24_128 ),
    inference(avatar_component_clause,[],[f873]) ).

fof(f877,definition,
    ( spl24_129
  <=> e1 = unit ),
    introduced(definition,[new_symbols(definition,[spl24_129])],[avatar_definition]) ).

fof(f879,plain,
    ( e1 = unit
    | ~ spl24_129 ),
    inference(avatar_component_clause,[],[f877]) ).

fof(f881,definition,
    ( spl24_130
  <=> e0 = unit ),
    introduced(definition,[new_symbols(definition,[spl24_130])],[avatar_definition]) ).

fof(f883,plain,
    ( e0 = unit
    | ~ spl24_130 ),
    inference(avatar_component_clause,[],[f881]) ).

fof(f884,plain,
    ( spl24_126
    | spl24_127
    | spl24_128
    | spl24_129
    | spl24_130 ),
    inference(avatar_split_clause,[],[f303,f881,f877,f873,f869,f865]) ).

fof(f887,plain,
    ( spl24_2
    | spl24_27
    | spl24_52
    | spl24_77
    | spl24_102 ),
    inference(avatar_split_clause,[],[f255,f764,f659,f554,f449,f344]) ).

fof(f888,plain,
    ( spl24_2
    | spl24_7
    | spl24_12
    | spl24_17
    | spl24_22 ),
    inference(avatar_split_clause,[],[f256,f428,f407,f386,f365,f344]) ).

fof(f889,plain,
    ( spl24_3
    | spl24_28
    | spl24_53
    | spl24_78
    | spl24_103 ),
    inference(avatar_split_clause,[],[f257,f768,f663,f558,f453,f348]) ).

fof(f890,plain,
    ( spl24_3
    | spl24_8
    | spl24_13
    | spl24_18
    | spl24_23 ),
    inference(avatar_split_clause,[],[f258,f432,f411,f390,f369,f348]) ).

fof(f893,plain,
    ( spl24_5
    | spl24_30
    | spl24_55
    | spl24_80
    | spl24_105 ),
    inference(avatar_split_clause,[],[f261,f776,f671,f566,f461,f356]) ).

fof(f894,plain,
    ( spl24_5
    | spl24_10
    | spl24_15
    | spl24_20
    | spl24_25 ),
    inference(avatar_split_clause,[],[f262,f440,f419,f398,f377,f356]) ).

fof(f895,plain,
    ( spl24_6
    | spl24_31
    | spl24_56
    | spl24_81
    | spl24_106 ),
    inference(avatar_split_clause,[],[f263,f781,f676,f571,f466,f361]) ).

fof(f896,plain,
    ( spl24_26
    | spl24_31
    | spl24_36
    | spl24_41
    | spl24_46 ),
    inference(avatar_split_clause,[],[f264,f529,f508,f487,f466,f445]) ).

fof(f903,plain,
    ( spl24_10
    | spl24_35
    | spl24_60
    | spl24_85
    | spl24_110 ),
    inference(avatar_split_clause,[],[f271,f797,f692,f587,f482,f377]) ).

fof(f904,plain,
    ( spl24_30
    | spl24_35
    | spl24_40
    | spl24_45
    | spl24_50 ),
    inference(avatar_split_clause,[],[f272,f545,f524,f503,f482,f461]) ).

fof(f905,plain,
    ( spl24_11
    | spl24_36
    | spl24_61
    | spl24_86
    | spl24_111 ),
    inference(avatar_split_clause,[],[f273,f802,f697,f592,f487,f382]) ).

fof(f906,plain,
    ( spl24_51
    | spl24_56
    | spl24_61
    | spl24_66
    | spl24_71 ),
    inference(avatar_split_clause,[],[f274,f634,f613,f592,f571,f550]) ).

fof(f907,plain,
    ( spl24_12
    | spl24_37
    | spl24_62
    | spl24_87
    | spl24_112 ),
    inference(avatar_split_clause,[],[f275,f806,f701,f596,f491,f386]) ).

fof(f908,plain,
    ( spl24_52
    | spl24_57
    | spl24_62
    | spl24_67
    | spl24_72 ),
    inference(avatar_split_clause,[],[f276,f638,f617,f596,f575,f554]) ).

fof(f911,plain,
    ( spl24_14
    | spl24_39
    | spl24_64
    | spl24_89
    | spl24_114 ),
    inference(avatar_split_clause,[],[f279,f814,f709,f604,f499,f394]) ).

fof(f912,plain,
    ( spl24_54
    | spl24_59
    | spl24_64
    | spl24_69
    | spl24_74 ),
    inference(avatar_split_clause,[],[f280,f646,f625,f604,f583,f562]) ).

fof(f914,plain,
    ( spl24_55
    | spl24_60
    | spl24_65
    | spl24_70
    | spl24_75 ),
    inference(avatar_split_clause,[],[f282,f650,f629,f608,f587,f566]) ).

fof(f917,plain,
    ( spl24_17
    | spl24_42
    | spl24_67
    | spl24_92
    | spl24_117 ),
    inference(avatar_split_clause,[],[f285,f827,f722,f617,f512,f407]) ).

fof(f918,plain,
    ( spl24_77
    | spl24_82
    | spl24_87
    | spl24_92
    | spl24_97 ),
    inference(avatar_split_clause,[],[f286,f743,f722,f701,f680,f659]) ).

fof(f919,plain,
    ( spl24_18
    | spl24_43
    | spl24_68
    | spl24_93
    | spl24_118 ),
    inference(avatar_split_clause,[],[f287,f831,f726,f621,f516,f411]) ).

fof(f920,plain,
    ( spl24_78
    | spl24_83
    | spl24_88
    | spl24_93
    | spl24_98 ),
    inference(avatar_split_clause,[],[f288,f747,f726,f705,f684,f663]) ).

fof(f923,plain,
    ( spl24_20
    | spl24_45
    | spl24_70
    | spl24_95
    | spl24_120 ),
    inference(avatar_split_clause,[],[f291,f839,f734,f629,f524,f419]) ).

fof(f927,plain,
    ( spl24_22
    | spl24_47
    | spl24_72
    | spl24_97
    | spl24_122 ),
    inference(avatar_split_clause,[],[f295,f848,f743,f638,f533,f428]) ).

fof(f928,plain,
    ( spl24_102
    | spl24_107
    | spl24_112
    | spl24_117
    | spl24_122 ),
    inference(avatar_split_clause,[],[f296,f848,f827,f806,f785,f764]) ).

fof(f935,plain,
    spl24_91,
    inference(avatar_split_clause,[],[f139,f718]) ).

fof(f936,plain,
    e0 = op(e1,e2),
    inference(forward_demodulation,[],[f142,f141]) ).

fof(f938,definition,
    ( spl24_131
  <=> sP0 ),
    introduced(definition,[new_symbols(definition,[spl24_131])],[avatar_definition]) ).

fof(f942,definition,
    ( spl24_132
  <=> sP1 ),
    introduced(definition,[new_symbols(definition,[spl24_132])],[avatar_definition]) ).

fof(f946,definition,
    ( spl24_133
  <=> sP2 ),
    introduced(definition,[new_symbols(definition,[spl24_133])],[avatar_definition]) ).

fof(f950,definition,
    ( spl24_134
  <=> sP3 ),
    introduced(definition,[new_symbols(definition,[spl24_134])],[avatar_definition]) ).

fof(f954,definition,
    ( spl24_135
  <=> sP4 ),
    introduced(definition,[new_symbols(definition,[spl24_135])],[avatar_definition]) ).

fof(f958,definition,
    ( spl24_136
  <=> sP5 ),
    introduced(definition,[new_symbols(definition,[spl24_136])],[avatar_definition]) ).

fof(f962,definition,
    ( spl24_137
  <=> sP6 ),
    introduced(definition,[new_symbols(definition,[spl24_137])],[avatar_definition]) ).

fof(f966,definition,
    ( spl24_138
  <=> sP7 ),
    introduced(definition,[new_symbols(definition,[spl24_138])],[avatar_definition]) ).

fof(f970,definition,
    ( spl24_139
  <=> sP8 ),
    introduced(definition,[new_symbols(definition,[spl24_139])],[avatar_definition]) ).

fof(f974,definition,
    ( spl24_140
  <=> sP9 ),
    introduced(definition,[new_symbols(definition,[spl24_140])],[avatar_definition]) ).

fof(f978,definition,
    ( spl24_141
  <=> sP10 ),
    introduced(definition,[new_symbols(definition,[spl24_141])],[avatar_definition]) ).

fof(f982,definition,
    ( spl24_142
  <=> sP11 ),
    introduced(definition,[new_symbols(definition,[spl24_142])],[avatar_definition]) ).

fof(f986,definition,
    ( spl24_143
  <=> sP12 ),
    introduced(definition,[new_symbols(definition,[spl24_143])],[avatar_definition]) ).

fof(f990,definition,
    ( spl24_144
  <=> sP13 ),
    introduced(definition,[new_symbols(definition,[spl24_144])],[avatar_definition]) ).

fof(f994,definition,
    ( spl24_145
  <=> sP14 ),
    introduced(definition,[new_symbols(definition,[spl24_145])],[avatar_definition]) ).

fof(f998,definition,
    ( spl24_146
  <=> sP15 ),
    introduced(definition,[new_symbols(definition,[spl24_146])],[avatar_definition]) ).

fof(f1002,definition,
    ( spl24_147
  <=> sP16 ),
    introduced(definition,[new_symbols(definition,[spl24_147])],[avatar_definition]) ).

fof(f1006,definition,
    ( spl24_148
  <=> sP17 ),
    introduced(definition,[new_symbols(definition,[spl24_148])],[avatar_definition]) ).

fof(f1010,definition,
    ( spl24_149
  <=> sP18 ),
    introduced(definition,[new_symbols(definition,[spl24_149])],[avatar_definition]) ).

fof(f1014,definition,
    ( spl24_150
  <=> sP19 ),
    introduced(definition,[new_symbols(definition,[spl24_150])],[avatar_definition]) ).

fof(f1018,definition,
    ( spl24_151
  <=> sP20 ),
    introduced(definition,[new_symbols(definition,[spl24_151])],[avatar_definition]) ).

fof(f1022,definition,
    ( spl24_152
  <=> sP21 ),
    introduced(definition,[new_symbols(definition,[spl24_152])],[avatar_definition]) ).

fof(f1026,definition,
    ( spl24_153
  <=> sP22 ),
    introduced(definition,[new_symbols(definition,[spl24_153])],[avatar_definition]) ).

fof(f1030,definition,
    ( spl24_154
  <=> sP23 ),
    introduced(definition,[new_symbols(definition,[spl24_154])],[avatar_definition]) ).

fof(f1033,plain,
    ( spl24_131
    | spl24_132
    | spl24_133
    | spl24_134
    | spl24_135
    | spl24_136
    | spl24_137
    | spl24_138
    | spl24_139
    | spl24_140
    | spl24_141
    | spl24_142
    | spl24_143
    | spl24_144
    | spl24_145
    | spl24_146
    | spl24_147
    | spl24_148
    | spl24_149
    | spl24_150
    | spl24_151
    | spl24_152
    | spl24_153
    | spl24_154
    | ~ spl24_125 ),
    inference(avatar_split_clause,[],[f131,f860,f1030,f1026,f1022,f1018,f1014,f1010,f1006,f1002,f998,f994,f990,f986,f982,f978,f974,f970,f966,f962,f958,f954,f950,f946,f942,f938]) ).

fof(f1035,plain,
    ( spl24_131
    | spl24_132
    | spl24_133
    | spl24_134
    | spl24_135
    | spl24_136
    | spl24_137
    | spl24_138
    | spl24_139
    | spl24_140
    | spl24_141
    | spl24_142
    | spl24_143
    | spl24_144
    | spl24_145
    | spl24_146
    | spl24_147
    | spl24_148
    | spl24_149
    | spl24_150
    | spl24_151
    | spl24_152
    | spl24_153
    | spl24_154
    | spl24_125 ),
    inference(avatar_split_clause,[],[f133,f860,f1030,f1026,f1022,f1018,f1014,f1010,f1006,f1002,f998,f994,f990,f986,f982,f978,f974,f970,f966,f962,f958,f954,f950,f946,f942,f938]) ).

fof(f1037,plain,
    ( spl24_2
    | spl24_32
    | spl24_62
    | spl24_92
    | spl24_122 ),
    inference(avatar_split_clause,[],[f135,f848,f722,f596,f470,f344]) ).

fof(f1038,plain,
    ( spl24_3
    | spl24_33
    | spl24_63
    | spl24_93
    | spl24_123 ),
    inference(avatar_split_clause,[],[f136,f852,f726,f600,f474,f348]) ).

fof(f1039,plain,
    ( spl24_4
    | spl24_34
    | spl24_64
    | spl24_94
    | spl24_124 ),
    inference(avatar_split_clause,[],[f137,f856,f730,f604,f478,f352]) ).

fof(f1040,plain,
    ( spl24_5
    | spl24_35
    | spl24_65
    | spl24_95
    | spl24_125 ),
    inference(avatar_split_clause,[],[f138,f860,f734,f608,f482,f356]) ).

fof(f1041,plain,
    ( ~ spl24_131
    | ~ spl24_1 ),
    inference(avatar_split_clause,[],[f128,f340,f938]) ).

fof(f1043,plain,
    ( ~ spl24_131
    | spl24_1 ),
    inference(avatar_split_clause,[],[f130,f340,f938]) ).

fof(f1044,plain,
    ( ~ spl24_132
    | ~ spl24_6 ),
    inference(avatar_split_clause,[],[f125,f361,f942]) ).

fof(f1045,plain,
    ( ~ spl24_132
    | spl24_31 ),
    inference(avatar_split_clause,[],[f126,f466,f942]) ).

fof(f1046,plain,
    ( ~ spl24_132
    | spl24_2 ),
    inference(avatar_split_clause,[],[f127,f344,f942]) ).

fof(f1048,plain,
    ( ~ spl24_133
    | spl24_61 ),
    inference(avatar_split_clause,[],[f123,f592,f946]) ).

fof(f1049,plain,
    ( ~ spl24_133
    | spl24_3 ),
    inference(avatar_split_clause,[],[f124,f348,f946]) ).

fof(f1052,plain,
    ( ~ spl24_134
    | spl24_4 ),
    inference(avatar_split_clause,[],[f121,f352,f950]) ).

fof(f1054,plain,
    ( ~ spl24_135
    | spl24_121 ),
    inference(avatar_split_clause,[],[f117,f844,f954]) ).

fof(f1055,plain,
    ( ~ spl24_135
    | spl24_5 ),
    inference(avatar_split_clause,[],[f118,f356,f954]) ).

fof(f1057,plain,
    ( ~ spl24_136
    | spl24_2 ),
    inference(avatar_split_clause,[],[f114,f344,f958]) ).

fof(f1058,plain,
    ( ~ spl24_136
    | spl24_31 ),
    inference(avatar_split_clause,[],[f115,f466,f958]) ).

fof(f1059,plain,
    ( ~ spl24_137
    | ~ spl24_32 ),
    inference(avatar_split_clause,[],[f110,f470,f962]) ).

fof(f1061,plain,
    ( ~ spl24_137
    | spl24_32 ),
    inference(avatar_split_clause,[],[f112,f470,f962]) ).

fof(f1063,plain,
    ( ~ spl24_138
    | spl24_62 ),
    inference(avatar_split_clause,[],[f108,f596,f966]) ).

fof(f1064,plain,
    ( ~ spl24_138
    | spl24_33 ),
    inference(avatar_split_clause,[],[f109,f474,f966]) ).

fof(f1066,plain,
    ( ~ spl24_139
    | spl24_92 ),
    inference(avatar_split_clause,[],[f105,f722,f970]) ).

fof(f1069,plain,
    ( ~ spl24_140
    | spl24_122 ),
    inference(avatar_split_clause,[],[f102,f848,f974]) ).

fof(f1070,plain,
    ( ~ spl24_140
    | spl24_35 ),
    inference(avatar_split_clause,[],[f103,f482,f974]) ).

fof(f1072,plain,
    ( ~ spl24_141
    | spl24_3 ),
    inference(avatar_split_clause,[],[f99,f348,f978]) ).

fof(f1073,plain,
    ( ~ spl24_141
    | spl24_61 ),
    inference(avatar_split_clause,[],[f100,f592,f978]) ).

fof(f1074,plain,
    ( ~ spl24_142
    | ~ spl24_58 ),
    inference(avatar_split_clause,[],[f95,f579,f982]) ).

fof(f1075,plain,
    ( ~ spl24_142
    | spl24_33 ),
    inference(avatar_split_clause,[],[f96,f474,f982]) ).

fof(f1076,plain,
    ( ~ spl24_142
    | spl24_62 ),
    inference(avatar_split_clause,[],[f97,f596,f982]) ).

fof(f1077,plain,
    ( ~ spl24_143
    | ~ spl24_63 ),
    inference(avatar_split_clause,[],[f92,f600,f986]) ).

fof(f1079,plain,
    ( ~ spl24_143
    | spl24_63 ),
    inference(avatar_split_clause,[],[f94,f600,f986]) ).

fof(f1081,plain,
    ( ~ spl24_144
    | spl24_93 ),
    inference(avatar_split_clause,[],[f90,f726,f990]) ).

fof(f1083,plain,
    ( ~ spl24_145
    | ~ spl24_73 ),
    inference(avatar_split_clause,[],[f86,f642,f994]) ).

fof(f1084,plain,
    ( ~ spl24_145
    | spl24_123 ),
    inference(avatar_split_clause,[],[f87,f852,f994]) ).

fof(f1085,plain,
    ( ~ spl24_145
    | spl24_65 ),
    inference(avatar_split_clause,[],[f88,f608,f994]) ).

fof(f1087,plain,
    ( ~ spl24_146
    | spl24_4 ),
    inference(avatar_split_clause,[],[f84,f352,f998]) ).

fof(f1091,plain,
    ( ~ spl24_147
    | spl24_92 ),
    inference(avatar_split_clause,[],[f82,f722,f1002]) ).

fof(f1094,plain,
    ( ~ spl24_148
    | spl24_93 ),
    inference(avatar_split_clause,[],[f79,f726,f1006]) ).

fof(f1097,plain,
    ( ~ spl24_149
    | spl24_94 ),
    inference(avatar_split_clause,[],[f76,f730,f1010]) ).

fof(f1100,plain,
    ( ~ spl24_150
    | spl24_95 ),
    inference(avatar_split_clause,[],[f73,f734,f1014]) ).

fof(f1102,plain,
    ( ~ spl24_151
    | spl24_5 ),
    inference(avatar_split_clause,[],[f69,f356,f1018]) ).

fof(f1103,plain,
    ( ~ spl24_151
    | spl24_121 ),
    inference(avatar_split_clause,[],[f70,f844,f1018]) ).

fof(f1104,plain,
    ( ~ spl24_152
    | ~ spl24_110 ),
    inference(avatar_split_clause,[],[f65,f797,f1022]) ).

fof(f1106,plain,
    ( ~ spl24_152
    | spl24_122 ),
    inference(avatar_split_clause,[],[f67,f848,f1022]) ).

fof(f1108,plain,
    ( ~ spl24_153
    | spl24_65 ),
    inference(avatar_split_clause,[],[f63,f608,f1026]) ).

fof(f1109,plain,
    ( ~ spl24_153
    | spl24_123 ),
    inference(avatar_split_clause,[],[f64,f852,f1026]) ).

fof(f1111,plain,
    ( ~ spl24_154
    | spl24_95 ),
    inference(avatar_split_clause,[],[f60,f734,f1030]) ).

fof(f1113,plain,
    spl24_90,
    inference(avatar_split_clause,[],[f936,f713]) ).

fof(f1114,plain,
    ( e4 = op(e4,e0)
    | ~ spl24_130 ),
    inference(superposition,[],[f304,f883]) ).

fof(f1115,plain,
    ( e3 = e4
    | ~ spl24_22
    | ~ spl24_130 ),
    inference(forward_demodulation,[],[f1114,f430]) ).

fof(f1116,plain,
    ( $false
    | ~ spl24_22
    | ~ spl24_130 ),
    inference(forward_subsumption_resolution,[],[f1115,f143]) ).

fof(f1117,plain,
    ( ~ spl24_22
    | ~ spl24_130 ),
    inference(avatar_contradiction_clause,[],[f1116]) ).

fof(f1119,plain,
    ( e2 = e4
    | ~ spl24_23
    | ~ spl24_130 ),
    inference(forward_demodulation,[],[f1114,f434]) ).

fof(f1120,plain,
    ( $false
    | ~ spl24_23
    | ~ spl24_130 ),
    inference(forward_subsumption_resolution,[],[f1119,f144]) ).

fof(f1121,plain,
    ( ~ spl24_23
    | ~ spl24_130 ),
    inference(avatar_contradiction_clause,[],[f1120]) ).

fof(f1123,plain,
    ( e4 = op(e4,e4)
    | ~ spl24_126 ),
    inference(superposition,[],[f304,f867]) ).

fof(f1124,plain,
    ( e3 = e4
    | ~ spl24_2
    | ~ spl24_126 ),
    inference(forward_demodulation,[],[f1123,f346]) ).

fof(f1125,plain,
    ( $false
    | ~ spl24_2
    | ~ spl24_126 ),
    inference(forward_subsumption_resolution,[],[f1124,f143]) ).

fof(f1126,plain,
    ( ~ spl24_2
    | ~ spl24_126 ),
    inference(avatar_contradiction_clause,[],[f1125]) ).

fof(f1129,plain,
    ( e4 = op(e4,e3)
    | ~ spl24_127 ),
    inference(superposition,[],[f304,f871]) ).

fof(f1130,plain,
    ( $false
    | spl24_6
    | ~ spl24_127 ),
    inference(forward_subsumption_resolution,[],[f1129,f362]) ).

fof(f1131,plain,
    ( spl24_6
    | ~ spl24_127 ),
    inference(avatar_contradiction_clause,[],[f1130]) ).

fof(f1158,plain,
    ( e4 = op(e4,e0)
    | ~ spl24_130 ),
    inference(superposition,[],[f304,f883]) ).

fof(f1159,plain,
    ( e4 = op(e0,e4)
    | ~ spl24_130 ),
    inference(superposition,[],[f305,f883]) ).

fof(f1164,plain,
    ( e3 = e4
    | ~ spl24_102
    | ~ spl24_130 ),
    inference(forward_demodulation,[],[f1159,f766]) ).

fof(f1166,plain,
    ( $false
    | ~ spl24_102
    | ~ spl24_130 ),
    inference(forward_subsumption_resolution,[],[f1164,f143]) ).

fof(f1167,plain,
    ( ~ spl24_102
    | ~ spl24_130 ),
    inference(avatar_contradiction_clause,[],[f1166]) ).

fof(f1172,plain,
    ( e2 = e4
    | ~ spl24_103
    | ~ spl24_130 ),
    inference(forward_demodulation,[],[f1159,f770]) ).

fof(f1175,plain,
    ( e0 = e4
    | ~ spl24_25
    | ~ spl24_130 ),
    inference(forward_demodulation,[],[f1158,f442]) ).

fof(f1176,plain,
    ( $false
    | ~ spl24_103
    | ~ spl24_130 ),
    inference(forward_subsumption_resolution,[],[f1172,f144]) ).

fof(f1177,plain,
    ( ~ spl24_103
    | ~ spl24_130 ),
    inference(avatar_contradiction_clause,[],[f1176]) ).

fof(f1178,plain,
    ( $false
    | ~ spl24_25
    | ~ spl24_130 ),
    inference(forward_subsumption_resolution,[],[f1175,f149]) ).

fof(f1179,plain,
    ( ~ spl24_25
    | ~ spl24_130 ),
    inference(avatar_contradiction_clause,[],[f1178]) ).

fof(f1181,plain,
    ( e1 = e2
    | ~ spl24_63
    | ~ spl24_64 ),
    inference(forward_demodulation,[],[f602,f606]) ).

fof(f1184,plain,
    ( $false
    | ~ spl24_63
    | ~ spl24_64 ),
    inference(forward_subsumption_resolution,[],[f1181,f148]) ).

fof(f1185,plain,
    ( ~ spl24_63
    | ~ spl24_64 ),
    inference(avatar_contradiction_clause,[],[f1184]) ).

fof(f1202,plain,
    ( e4 = op(e0,e4)
    | ~ spl24_130 ),
    inference(superposition,[],[f305,f883]) ).

fof(f1213,plain,
    ( e0 = e4
    | ~ spl24_105
    | ~ spl24_130 ),
    inference(forward_demodulation,[],[f1202,f778]) ).

fof(f1214,plain,
    ( $false
    | ~ spl24_105
    | ~ spl24_130 ),
    inference(forward_subsumption_resolution,[],[f1213,f149]) ).

fof(f1215,plain,
    ( ~ spl24_105
    | ~ spl24_130 ),
    inference(avatar_contradiction_clause,[],[f1214]) ).

fof(f1222,plain,
    ( e2 = op(e2,e0)
    | ~ spl24_130 ),
    inference(superposition,[],[f308,f883]) ).

fof(f1223,plain,
    ( e1 = e2
    | ~ spl24_74
    | ~ spl24_130 ),
    inference(forward_demodulation,[],[f1222,f648]) ).

fof(f1224,plain,
    ( $false
    | ~ spl24_74
    | ~ spl24_130 ),
    inference(forward_subsumption_resolution,[],[f1223,f148]) ).

fof(f1225,plain,
    ( ~ spl24_74
    | ~ spl24_130 ),
    inference(avatar_contradiction_clause,[],[f1224]) ).

fof(f1228,plain,
    ( spl24_73
    | ~ spl24_130 ),
    inference(avatar_split_clause,[],[f1222,f881,f642]) ).

fof(f1233,plain,
    ( e1 = op(e1,e0)
    | ~ spl24_130 ),
    inference(superposition,[],[f310,f883]) ).

fof(f1238,plain,
    ( spl24_99
    | ~ spl24_130 ),
    inference(avatar_split_clause,[],[f1233,f881,f751]) ).

fof(f1239,plain,
    ( e1 = op(e0,e1)
    | ~ spl24_130 ),
    inference(superposition,[],[f311,f883]) ).

fof(f1240,plain,
    ( spl24_119
    | ~ spl24_130 ),
    inference(avatar_split_clause,[],[f1239,f881,f835]) ).

fof(f1241,plain,
    ( e0 = op(e0,e0)
    | ~ spl24_130 ),
    inference(superposition,[],[f312,f883]) ).

fof(f1242,plain,
    ( spl24_125
    | ~ spl24_130 ),
    inference(avatar_split_clause,[],[f1241,f881,f860]) ).

fof(f1253,plain,
    ( e1 = op(e1,e2)
    | ~ spl24_128 ),
    inference(superposition,[],[f310,f875]) ).

fof(f1261,plain,
    ( e0 = e1
    | ~ spl24_90
    | ~ spl24_128 ),
    inference(forward_demodulation,[],[f1253,f715]) ).

fof(f1265,plain,
    ( $false
    | ~ spl24_90
    | ~ spl24_128 ),
    inference(forward_subsumption_resolution,[],[f1261,f152]) ).

fof(f1266,plain,
    ( ~ spl24_90
    | ~ spl24_128 ),
    inference(avatar_contradiction_clause,[],[f1265]) ).

fof(f1279,plain,
    ( e2 = op(e1,e2)
    | ~ spl24_129 ),
    inference(superposition,[],[f309,f879]) ).

fof(f1288,plain,
    ( e0 = e2
    | ~ spl24_90
    | ~ spl24_129 ),
    inference(forward_demodulation,[],[f1279,f715]) ).

fof(f1291,plain,
    ( $false
    | ~ spl24_90
    | ~ spl24_129 ),
    inference(forward_subsumption_resolution,[],[f1288,f151]) ).

fof(f1292,plain,
    ( ~ spl24_90
    | ~ spl24_129 ),
    inference(avatar_contradiction_clause,[],[f1291]) ).

fof(f1297,plain,
    ( e3 = e4
    | ~ spl24_6
    | ~ spl24_7 ),
    inference(forward_demodulation,[],[f363,f367]) ).

fof(f1301,plain,
    ( $false
    | ~ spl24_6
    | ~ spl24_7 ),
    inference(forward_subsumption_resolution,[],[f1297,f143]) ).

fof(f1302,plain,
    ( ~ spl24_6
    | ~ spl24_7 ),
    inference(avatar_contradiction_clause,[],[f1301]) ).

fof(f1304,plain,
    ( e2 = e4
    | ~ spl24_6
    | ~ spl24_8 ),
    inference(forward_demodulation,[],[f363,f371]) ).

fof(f1305,plain,
    ( $false
    | ~ spl24_6
    | ~ spl24_8 ),
    inference(forward_subsumption_resolution,[],[f1304,f144]) ).

fof(f1306,plain,
    ( ~ spl24_6
    | ~ spl24_8 ),
    inference(avatar_contradiction_clause,[],[f1305]) ).

fof(f1308,plain,
    ( e0 = e2
    | ~ spl24_33
    | ~ spl24_35 ),
    inference(forward_demodulation,[],[f476,f484]) ).

fof(f1311,plain,
    ( $false
    | ~ spl24_33
    | ~ spl24_35 ),
    inference(forward_subsumption_resolution,[],[f1308,f151]) ).

fof(f1312,plain,
    ( ~ spl24_33
    | ~ spl24_35 ),
    inference(avatar_contradiction_clause,[],[f1311]) ).

fof(f1316,plain,
    ( e0 = e2
    | ~ spl24_58
    | ~ spl24_60 ),
    inference(forward_demodulation,[],[f581,f589]) ).

fof(f1317,plain,
    ( e0 = e1
    | ~ spl24_59
    | ~ spl24_60 ),
    inference(forward_demodulation,[],[f585,f589]) ).

fof(f1318,plain,
    ( $false
    | ~ spl24_58
    | ~ spl24_60 ),
    inference(forward_subsumption_resolution,[],[f1316,f151]) ).

fof(f1319,plain,
    ( ~ spl24_58
    | ~ spl24_60 ),
    inference(avatar_contradiction_clause,[],[f1318]) ).

fof(f1320,plain,
    ( $false
    | ~ spl24_59
    | ~ spl24_60 ),
    inference(forward_subsumption_resolution,[],[f1317,f152]) ).

fof(f1321,plain,
    ( ~ spl24_59
    | ~ spl24_60 ),
    inference(avatar_contradiction_clause,[],[f1320]) ).

fof(f1325,plain,
    ( e3 = op(e3,e3)
    | ~ spl24_127 ),
    inference(superposition,[],[f306,f871]) ).

fof(f1326,plain,
    ( e3 = op(e3,e3)
    | ~ spl24_127 ),
    inference(superposition,[],[f307,f871]) ).

fof(f1327,plain,
    ( e2 = op(e2,e3)
    | ~ spl24_127 ),
    inference(superposition,[],[f308,f871]) ).

fof(f1328,plain,
    ( e2 = op(e3,e2)
    | ~ spl24_127 ),
    inference(superposition,[],[f309,f871]) ).

fof(f1336,plain,
    ( spl24_38
    | ~ spl24_127 ),
    inference(avatar_split_clause,[],[f1328,f869,f495]) ).

fof(f1338,plain,
    ( e0 = e3
    | ~ spl24_35
    | ~ spl24_127 ),
    inference(forward_demodulation,[],[f1325,f484]) ).

fof(f1341,plain,
    ( $false
    | ~ spl24_35
    | ~ spl24_127 ),
    inference(forward_subsumption_resolution,[],[f1338,f150]) ).

fof(f1342,plain,
    ( ~ spl24_35
    | ~ spl24_127 ),
    inference(avatar_contradiction_clause,[],[f1341]) ).

fof(f1344,plain,
    ( spl24_32
    | ~ spl24_127 ),
    inference(avatar_split_clause,[],[f1326,f869,f470]) ).

fof(f1346,plain,
    ( e2 = e3
    | ~ spl24_2
    | ~ spl24_3 ),
    inference(superposition,[],[f350,f346]) ).

fof(f1350,plain,
    ( $false
    | ~ spl24_2
    | ~ spl24_3 ),
    inference(forward_subsumption_resolution,[],[f1346,f145]) ).

fof(f1351,plain,
    ( ~ spl24_2
    | ~ spl24_3 ),
    inference(avatar_contradiction_clause,[],[f1350]) ).

fof(f1353,plain,
    ( e0 = e3
    | ~ spl24_2
    | ~ spl24_5 ),
    inference(superposition,[],[f358,f346]) ).

fof(f1357,plain,
    ( $false
    | ~ spl24_2
    | ~ spl24_5 ),
    inference(forward_subsumption_resolution,[],[f1353,f150]) ).

fof(f1358,plain,
    ( ~ spl24_2
    | ~ spl24_5 ),
    inference(avatar_contradiction_clause,[],[f1357]) ).

fof(f1363,plain,
    ( e3 = e4
    | ~ spl24_11
    | ~ spl24_12 ),
    inference(superposition,[],[f388,f384]) ).

fof(f1367,plain,
    ( $false
    | ~ spl24_11
    | ~ spl24_12 ),
    inference(forward_subsumption_resolution,[],[f1363,f143]) ).

fof(f1368,plain,
    ( ~ spl24_11
    | ~ spl24_12 ),
    inference(avatar_contradiction_clause,[],[f1367]) ).

fof(f1370,plain,
    ( e2 = e3
    | ~ spl24_37
    | ~ spl24_38 ),
    inference(forward_demodulation,[],[f493,f497]) ).

fof(f1371,plain,
    ( $false
    | ~ spl24_37
    | ~ spl24_38 ),
    inference(forward_subsumption_resolution,[],[f1370,f145]) ).

fof(f1372,plain,
    ( ~ spl24_37
    | ~ spl24_38 ),
    inference(avatar_contradiction_clause,[],[f1371]) ).

fof(f1374,plain,
    ( e2 = e3
    | ~ spl24_12
    | ~ spl24_13 ),
    inference(forward_demodulation,[],[f388,f392]) ).

fof(f1376,plain,
    ( $false
    | ~ spl24_12
    | ~ spl24_13 ),
    inference(forward_subsumption_resolution,[],[f1374,f145]) ).

fof(f1377,plain,
    ( ~ spl24_12
    | ~ spl24_13 ),
    inference(avatar_contradiction_clause,[],[f1376]) ).

fof(f1387,plain,
    ( e1 = e3
    | ~ spl24_62
    | ~ spl24_64 ),
    inference(forward_demodulation,[],[f598,f606]) ).

fof(f1389,plain,
    ( $false
    | ~ spl24_62
    | ~ spl24_64 ),
    inference(forward_subsumption_resolution,[],[f1387,f147]) ).

fof(f1390,plain,
    ( ~ spl24_62
    | ~ spl24_64 ),
    inference(avatar_contradiction_clause,[],[f1389]) ).

fof(f1392,plain,
    ( e2 = e3
    | ~ spl24_112
    | ~ spl24_113 ),
    inference(forward_demodulation,[],[f808,f812]) ).

fof(f1393,plain,
    ( $false
    | ~ spl24_112
    | ~ spl24_113 ),
    inference(forward_subsumption_resolution,[],[f1392,f145]) ).

fof(f1394,plain,
    ( ~ spl24_112
    | ~ spl24_113 ),
    inference(avatar_contradiction_clause,[],[f1393]) ).

fof(f1395,plain,
    ( e0 = e3
    | ~ spl24_87
    | ~ spl24_90 ),
    inference(forward_demodulation,[],[f703,f715]) ).

fof(f1397,plain,
    ( $false
    | ~ spl24_87
    | ~ spl24_90 ),
    inference(forward_subsumption_resolution,[],[f1395,f150]) ).

fof(f1398,plain,
    ( ~ spl24_87
    | ~ spl24_90 ),
    inference(avatar_contradiction_clause,[],[f1397]) ).

fof(f1427,plain,
    ( e1 = e3
    | ~ spl24_12
    | ~ spl24_14 ),
    inference(superposition,[],[f396,f388]) ).

fof(f1432,plain,
    ( $false
    | ~ spl24_12
    | ~ spl24_14 ),
    inference(forward_subsumption_resolution,[],[f1427,f147]) ).

fof(f1433,plain,
    ( ~ spl24_12
    | ~ spl24_14 ),
    inference(avatar_contradiction_clause,[],[f1432]) ).

fof(f1438,plain,
    ( e0 = e3
    | ~ spl24_12
    | ~ spl24_15 ),
    inference(superposition,[],[f400,f388]) ).

fof(f1443,plain,
    ( $false
    | ~ spl24_12
    | ~ spl24_15 ),
    inference(forward_subsumption_resolution,[],[f1438,f150]) ).

fof(f1444,plain,
    ( ~ spl24_12
    | ~ spl24_15 ),
    inference(avatar_contradiction_clause,[],[f1443]) ).

fof(f1446,plain,
    ( e1 = e3
    | ~ spl24_112
    | ~ spl24_114 ),
    inference(forward_demodulation,[],[f808,f816]) ).

fof(f1448,plain,
    ( e1 = e2
    | ~ spl24_123
    | ~ spl24_124 ),
    inference(forward_demodulation,[],[f854,f858]) ).

fof(f1451,plain,
    ( $false
    | ~ spl24_112
    | ~ spl24_114 ),
    inference(forward_subsumption_resolution,[],[f1446,f147]) ).

fof(f1452,plain,
    ( ~ spl24_112
    | ~ spl24_114 ),
    inference(avatar_contradiction_clause,[],[f1451]) ).

fof(f1453,plain,
    ( $false
    | ~ spl24_123
    | ~ spl24_124 ),
    inference(forward_subsumption_resolution,[],[f1448,f148]) ).

fof(f1454,plain,
    ( ~ spl24_123
    | ~ spl24_124 ),
    inference(avatar_contradiction_clause,[],[f1453]) ).

fof(f1457,plain,
    ( e3 = e4
    | ~ spl24_26
    | ~ spl24_27 ),
    inference(superposition,[],[f451,f447]) ).

fof(f1461,plain,
    ( $false
    | ~ spl24_26
    | ~ spl24_27 ),
    inference(forward_subsumption_resolution,[],[f1457,f143]) ).

fof(f1462,plain,
    ( ~ spl24_26
    | ~ spl24_27 ),
    inference(avatar_contradiction_clause,[],[f1461]) ).

fof(f1464,plain,
    ( e2 = e4
    | ~ spl24_26
    | ~ spl24_28 ),
    inference(superposition,[],[f455,f447]) ).

fof(f1468,plain,
    ( $false
    | ~ spl24_26
    | ~ spl24_28 ),
    inference(forward_subsumption_resolution,[],[f1464,f144]) ).

fof(f1469,plain,
    ( ~ spl24_26
    | ~ spl24_28 ),
    inference(avatar_contradiction_clause,[],[f1468]) ).

fof(f1497,plain,
    ( e3 = e4
    | ~ spl24_31
    | ~ spl24_32 ),
    inference(superposition,[],[f472,f468]) ).

fof(f1501,plain,
    ( $false
    | ~ spl24_31
    | ~ spl24_32 ),
    inference(forward_subsumption_resolution,[],[f1497,f143]) ).

fof(f1502,plain,
    ( ~ spl24_31
    | ~ spl24_32 ),
    inference(avatar_contradiction_clause,[],[f1501]) ).

fof(f1506,plain,
    ( e2 = e4
    | ~ spl24_36
    | ~ spl24_38 ),
    inference(superposition,[],[f497,f489]) ).

fof(f1510,plain,
    ( $false
    | ~ spl24_36
    | ~ spl24_38 ),
    inference(forward_subsumption_resolution,[],[f1506,f144]) ).

fof(f1511,plain,
    ( ~ spl24_36
    | ~ spl24_38 ),
    inference(avatar_contradiction_clause,[],[f1510]) ).

fof(f1524,plain,
    ( e0 = e2
    | ~ spl24_13
    | ~ spl24_15 ),
    inference(forward_demodulation,[],[f392,f400]) ).

fof(f1528,plain,
    ( $false
    | ~ spl24_13
    | ~ spl24_15 ),
    inference(forward_subsumption_resolution,[],[f1524,f151]) ).

fof(f1529,plain,
    ( ~ spl24_13
    | ~ spl24_15 ),
    inference(avatar_contradiction_clause,[],[f1528]) ).

fof(f1530,plain,
    ( e0 = e4
    | ~ spl24_6
    | ~ spl24_10 ),
    inference(superposition,[],[f379,f363]) ).

fof(f1537,plain,
    ( $false
    | ~ spl24_6
    | ~ spl24_10 ),
    inference(forward_subsumption_resolution,[],[f1530,f149]) ).

fof(f1538,plain,
    ( ~ spl24_6
    | ~ spl24_10 ),
    inference(avatar_contradiction_clause,[],[f1537]) ).

fof(f1544,plain,
    ( e2 = e3
    | ~ spl24_17
    | ~ spl24_18 ),
    inference(superposition,[],[f413,f409]) ).

fof(f1548,plain,
    ( $false
    | ~ spl24_17
    | ~ spl24_18 ),
    inference(forward_subsumption_resolution,[],[f1544,f145]) ).

fof(f1549,plain,
    ( ~ spl24_17
    | ~ spl24_18 ),
    inference(avatar_contradiction_clause,[],[f1548]) ).

fof(f1570,plain,
    ( e3 = e4
    | ~ spl24_46
    | ~ spl24_47 ),
    inference(superposition,[],[f535,f531]) ).

fof(f1574,plain,
    ( $false
    | ~ spl24_46
    | ~ spl24_47 ),
    inference(forward_subsumption_resolution,[],[f1570,f143]) ).

fof(f1575,plain,
    ( ~ spl24_46
    | ~ spl24_47 ),
    inference(avatar_contradiction_clause,[],[f1574]) ).

fof(f1589,plain,
    ( e2 = e3
    | ~ spl24_122
    | ~ spl24_123 ),
    inference(forward_demodulation,[],[f850,f854]) ).

fof(f1590,plain,
    ( $false
    | ~ spl24_122
    | ~ spl24_123 ),
    inference(forward_subsumption_resolution,[],[f1589,f145]) ).

fof(f1591,plain,
    ( ~ spl24_122
    | ~ spl24_123 ),
    inference(avatar_contradiction_clause,[],[f1590]) ).

fof(f1592,plain,
    ( e2 = e3
    | ~ spl24_72
    | ~ spl24_73 ),
    inference(forward_demodulation,[],[f640,f644]) ).

fof(f1594,plain,
    ( $false
    | ~ spl24_72
    | ~ spl24_73 ),
    inference(forward_subsumption_resolution,[],[f1592,f145]) ).

fof(f1595,plain,
    ( ~ spl24_72
    | ~ spl24_73 ),
    inference(avatar_contradiction_clause,[],[f1594]) ).

fof(f1596,plain,
    ( e0 = e3
    | ~ spl24_47
    | ~ spl24_50 ),
    inference(forward_demodulation,[],[f535,f547]) ).

fof(f1600,plain,
    ( $false
    | ~ spl24_47
    | ~ spl24_50 ),
    inference(forward_subsumption_resolution,[],[f1596,f150]) ).

fof(f1601,plain,
    ( ~ spl24_47
    | ~ spl24_50 ),
    inference(avatar_contradiction_clause,[],[f1600]) ).

fof(f1606,plain,
    ( e0 = e1
    | ~ spl24_14
    | ~ spl24_15 ),
    inference(forward_demodulation,[],[f396,f400]) ).

fof(f1612,plain,
    ( $false
    | ~ spl24_14
    | ~ spl24_15 ),
    inference(forward_subsumption_resolution,[],[f1606,f152]) ).

fof(f1613,plain,
    ( ~ spl24_14
    | ~ spl24_15 ),
    inference(avatar_contradiction_clause,[],[f1612]) ).

fof(f1618,plain,
    ( e0 = e2
    | ~ spl24_18
    | ~ spl24_20 ),
    inference(superposition,[],[f421,f413]) ).

fof(f1620,plain,
    ( e0 = e2
    | ~ spl24_18
    | ~ spl24_20 ),
    inference(superposition,[],[f413,f421]) ).

fof(f1621,plain,
    ( $false
    | ~ spl24_18
    | ~ spl24_20 ),
    inference(forward_subsumption_resolution,[],[f1620,f151]) ).

fof(f1622,plain,
    ( ~ spl24_18
    | ~ spl24_20 ),
    inference(avatar_contradiction_clause,[],[f1621]) ).

fof(f1623,plain,
    ( $false
    | ~ spl24_18
    | ~ spl24_20 ),
    inference(forward_subsumption_resolution,[],[f1618,f151]) ).

fof(f1624,plain,
    ( ~ spl24_18
    | ~ spl24_20 ),
    inference(avatar_contradiction_clause,[],[f1623]) ).

fof(f1626,plain,
    ( e1 = e3
    | ~ spl24_2
    | ~ spl24_4 ),
    inference(superposition,[],[f354,f346]) ).

fof(f1630,plain,
    ( $false
    | ~ spl24_2
    | ~ spl24_4 ),
    inference(forward_subsumption_resolution,[],[f1626,f147]) ).

fof(f1631,plain,
    ( ~ spl24_2
    | ~ spl24_4 ),
    inference(avatar_contradiction_clause,[],[f1630]) ).

fof(f1638,plain,
    ( e0 = e3
    | ~ spl24_22
    | ~ spl24_25 ),
    inference(superposition,[],[f442,f430]) ).

fof(f1643,plain,
    ( $false
    | ~ spl24_22
    | ~ spl24_25 ),
    inference(forward_subsumption_resolution,[],[f1638,f150]) ).

fof(f1644,plain,
    ( ~ spl24_22
    | ~ spl24_25 ),
    inference(avatar_contradiction_clause,[],[f1643]) ).

fof(f1649,plain,
    ( e2 = e3
    | ~ spl24_22
    | ~ spl24_23 ),
    inference(superposition,[],[f434,f430]) ).

fof(f1653,plain,
    ( $false
    | ~ spl24_22
    | ~ spl24_23 ),
    inference(forward_subsumption_resolution,[],[f1649,f145]) ).

fof(f1654,plain,
    ( ~ spl24_22
    | ~ spl24_23 ),
    inference(avatar_contradiction_clause,[],[f1653]) ).

fof(f1655,plain,
    ( e1 = e2
    | ~ spl24_13
    | ~ spl24_14 ),
    inference(forward_demodulation,[],[f392,f396]) ).

fof(f1657,plain,
    ( $false
    | ~ spl24_13
    | ~ spl24_14 ),
    inference(forward_subsumption_resolution,[],[f1655,f148]) ).

fof(f1658,plain,
    ( ~ spl24_13
    | ~ spl24_14 ),
    inference(avatar_contradiction_clause,[],[f1657]) ).

fof(f1659,plain,
    ( e0 = e3
    | ~ spl24_72
    | ~ spl24_75 ),
    inference(forward_demodulation,[],[f640,f652]) ).

fof(f1664,plain,
    ( $false
    | ~ spl24_72
    | ~ spl24_75 ),
    inference(forward_subsumption_resolution,[],[f1659,f150]) ).

fof(f1665,plain,
    ( ~ spl24_72
    | ~ spl24_75 ),
    inference(avatar_contradiction_clause,[],[f1664]) ).

fof(f1680,plain,
    ( e0 = e4
    | ~ spl24_51
    | ~ spl24_55 ),
    inference(superposition,[],[f568,f552]) ).

fof(f1684,plain,
    ( $false
    | ~ spl24_51
    | ~ spl24_55 ),
    inference(forward_subsumption_resolution,[],[f1680,f149]) ).

fof(f1685,plain,
    ( ~ spl24_51
    | ~ spl24_55 ),
    inference(avatar_contradiction_clause,[],[f1684]) ).

fof(f1687,plain,
    ( e3 = e4
    | ~ spl24_56
    | ~ spl24_57 ),
    inference(superposition,[],[f577,f573]) ).

fof(f1691,plain,
    ( $false
    | ~ spl24_56
    | ~ spl24_57 ),
    inference(forward_subsumption_resolution,[],[f1687,f143]) ).

fof(f1692,plain,
    ( ~ spl24_56
    | ~ spl24_57 ),
    inference(avatar_contradiction_clause,[],[f1691]) ).

fof(f1695,plain,
    ( e2 = e3
    | ~ spl24_57
    | ~ spl24_58 ),
    inference(superposition,[],[f581,f577]) ).

fof(f1699,plain,
    ( $false
    | ~ spl24_57
    | ~ spl24_58 ),
    inference(forward_subsumption_resolution,[],[f1695,f145]) ).

fof(f1700,plain,
    ( ~ spl24_57
    | ~ spl24_58 ),
    inference(avatar_contradiction_clause,[],[f1699]) ).

fof(f1704,plain,
    ( e1 = e2
    | ~ spl24_59
    | ~ spl24_127 ),
    inference(forward_demodulation,[],[f1327,f585]) ).

fof(f1707,plain,
    ( $false
    | ~ spl24_59
    | ~ spl24_127 ),
    inference(forward_subsumption_resolution,[],[f1704,f148]) ).

fof(f1708,plain,
    ( ~ spl24_59
    | ~ spl24_127 ),
    inference(avatar_contradiction_clause,[],[f1707]) ).

fof(f1709,plain,
    ( e0 = e3
    | ~ spl24_17
    | ~ spl24_20 ),
    inference(forward_demodulation,[],[f409,f421]) ).

fof(f1712,plain,
    ( spl24_58
    | ~ spl24_127 ),
    inference(avatar_split_clause,[],[f1327,f869,f579]) ).

fof(f1713,plain,
    ( $false
    | ~ spl24_17
    | ~ spl24_20 ),
    inference(forward_subsumption_resolution,[],[f1709,f150]) ).

fof(f1714,plain,
    ( ~ spl24_17
    | ~ spl24_20 ),
    inference(avatar_contradiction_clause,[],[f1713]) ).

fof(f1729,plain,
    ( e1 = e3
    | ~ spl24_117
    | ~ spl24_119 ),
    inference(forward_demodulation,[],[f829,f837]) ).

fof(f1730,plain,
    ( $false
    | ~ spl24_117
    | ~ spl24_119 ),
    inference(forward_subsumption_resolution,[],[f1729,f147]) ).

fof(f1731,plain,
    ( ~ spl24_117
    | ~ spl24_119 ),
    inference(avatar_contradiction_clause,[],[f1730]) ).

fof(f1737,plain,
    ( e2 = e3
    | ~ spl24_32
    | ~ spl24_33 ),
    inference(superposition,[],[f476,f472]) ).

fof(f1738,plain,
    ( e2 = e3
    | ~ spl24_32
    | ~ spl24_33 ),
    inference(superposition,[],[f472,f476]) ).

fof(f1739,plain,
    ( $false
    | ~ spl24_32
    | ~ spl24_33 ),
    inference(forward_subsumption_resolution,[],[f1738,f145]) ).

fof(f1740,plain,
    ( ~ spl24_32
    | ~ spl24_33 ),
    inference(avatar_contradiction_clause,[],[f1739]) ).

fof(f1741,plain,
    ( $false
    | ~ spl24_32
    | ~ spl24_33 ),
    inference(forward_subsumption_resolution,[],[f1737,f145]) ).

fof(f1742,plain,
    ( ~ spl24_32
    | ~ spl24_33 ),
    inference(avatar_contradiction_clause,[],[f1741]) ).

fof(f1745,plain,
    ( e0 = e1
    | ~ spl24_64
    | ~ spl24_65 ),
    inference(superposition,[],[f610,f606]) ).

fof(f1749,plain,
    ( $false
    | ~ spl24_64
    | ~ spl24_65 ),
    inference(forward_subsumption_resolution,[],[f1745,f152]) ).

fof(f1750,plain,
    ( ~ spl24_64
    | ~ spl24_65 ),
    inference(avatar_contradiction_clause,[],[f1749]) ).

fof(f1753,plain,
    ( e1 = e3
    | ~ spl24_97
    | ~ spl24_99 ),
    inference(forward_demodulation,[],[f745,f753]) ).

fof(f1754,plain,
    ( $false
    | ~ spl24_97
    | ~ spl24_99 ),
    inference(forward_subsumption_resolution,[],[f1753,f147]) ).

fof(f1755,plain,
    ( ~ spl24_97
    | ~ spl24_99 ),
    inference(avatar_contradiction_clause,[],[f1754]) ).

fof(f1761,plain,
    ( e3 = e4
    | ~ spl24_66
    | ~ spl24_67 ),
    inference(superposition,[],[f619,f615]) ).

fof(f1765,plain,
    ( $false
    | ~ spl24_66
    | ~ spl24_67 ),
    inference(forward_subsumption_resolution,[],[f1761,f143]) ).

fof(f1766,plain,
    ( ~ spl24_66
    | ~ spl24_67 ),
    inference(avatar_contradiction_clause,[],[f1765]) ).

fof(f1769,plain,
    ( e3 = e4
    | ~ spl24_71
    | ~ spl24_72 ),
    inference(superposition,[],[f640,f636]) ).

fof(f1773,plain,
    ( $false
    | ~ spl24_71
    | ~ spl24_72 ),
    inference(forward_subsumption_resolution,[],[f1769,f143]) ).

fof(f1774,plain,
    ( ~ spl24_71
    | ~ spl24_72 ),
    inference(avatar_contradiction_clause,[],[f1773]) ).

fof(f1775,plain,
    ( e1 = e4
    | ~ spl24_61
    | ~ spl24_64 ),
    inference(forward_demodulation,[],[f594,f606]) ).

fof(f1780,plain,
    ( $false
    | ~ spl24_61
    | ~ spl24_64 ),
    inference(forward_subsumption_resolution,[],[f1775,f146]) ).

fof(f1781,plain,
    ( ~ spl24_61
    | ~ spl24_64 ),
    inference(avatar_contradiction_clause,[],[f1780]) ).

fof(f1782,plain,
    ( e2 = e4
    | ~ spl24_56
    | ~ spl24_58 ),
    inference(forward_demodulation,[],[f573,f581]) ).

fof(f1784,plain,
    ( $false
    | ~ spl24_56
    | ~ spl24_58 ),
    inference(forward_subsumption_resolution,[],[f1782,f144]) ).

fof(f1785,plain,
    ( ~ spl24_56
    | ~ spl24_58 ),
    inference(avatar_contradiction_clause,[],[f1784]) ).

fof(f1790,plain,
    ( e0 = e3
    | ~ spl24_67
    | ~ spl24_70 ),
    inference(superposition,[],[f631,f619]) ).

fof(f1791,plain,
    ( e0 = e3
    | ~ spl24_67
    | ~ spl24_70 ),
    inference(superposition,[],[f619,f631]) ).

fof(f1792,plain,
    ( $false
    | ~ spl24_67
    | ~ spl24_70 ),
    inference(forward_subsumption_resolution,[],[f1791,f150]) ).

fof(f1793,plain,
    ( ~ spl24_67
    | ~ spl24_70 ),
    inference(avatar_contradiction_clause,[],[f1792]) ).

fof(f1794,plain,
    ( $false
    | ~ spl24_67
    | ~ spl24_70 ),
    inference(forward_subsumption_resolution,[],[f1790,f150]) ).

fof(f1795,plain,
    ( ~ spl24_67
    | ~ spl24_70 ),
    inference(avatar_contradiction_clause,[],[f1794]) ).

fof(f1803,plain,
    ( e1 = e2
    | ~ spl24_98
    | ~ spl24_99 ),
    inference(forward_demodulation,[],[f749,f753]) ).

fof(f1807,plain,
    ( $false
    | ~ spl24_98
    | ~ spl24_99 ),
    inference(forward_subsumption_resolution,[],[f1803,f148]) ).

fof(f1808,plain,
    ( ~ spl24_98
    | ~ spl24_99 ),
    inference(avatar_contradiction_clause,[],[f1807]) ).

fof(f1846,plain,
    ( e0 = e4
    | ~ spl24_71
    | ~ spl24_75 ),
    inference(superposition,[],[f652,f636]) ).

fof(f1850,plain,
    ( $false
    | ~ spl24_71
    | ~ spl24_75 ),
    inference(forward_subsumption_resolution,[],[f1846,f149]) ).

fof(f1851,plain,
    ( ~ spl24_71
    | ~ spl24_75 ),
    inference(avatar_contradiction_clause,[],[f1850]) ).

fof(f1854,plain,
    ( e0 = e2
    | ~ spl24_78
    | ~ spl24_80 ),
    inference(forward_demodulation,[],[f665,f673]) ).

fof(f1862,plain,
    ( $false
    | ~ spl24_78
    | ~ spl24_80 ),
    inference(forward_subsumption_resolution,[],[f1854,f151]) ).

fof(f1863,plain,
    ( ~ spl24_78
    | ~ spl24_80 ),
    inference(avatar_contradiction_clause,[],[f1862]) ).

fof(f1873,plain,
    ( e3 = e4
    | ~ spl24_81
    | ~ spl24_82 ),
    inference(superposition,[],[f682,f678]) ).

fof(f1877,plain,
    ( $false
    | ~ spl24_81
    | ~ spl24_82 ),
    inference(forward_subsumption_resolution,[],[f1873,f143]) ).

fof(f1878,plain,
    ( ~ spl24_81
    | ~ spl24_82 ),
    inference(avatar_contradiction_clause,[],[f1877]) ).

fof(f1888,plain,
    ( e2 = e4
    | ~ spl24_91
    | ~ spl24_93 ),
    inference(superposition,[],[f728,f720]) ).

fof(f1892,plain,
    ( $false
    | ~ spl24_91
    | ~ spl24_93 ),
    inference(forward_subsumption_resolution,[],[f1888,f144]) ).

fof(f1893,plain,
    ( ~ spl24_91
    | ~ spl24_93 ),
    inference(avatar_contradiction_clause,[],[f1892]) ).

fof(f1910,plain,
    ( e1 = e3
    | ~ spl24_32
    | ~ spl24_34 ),
    inference(superposition,[],[f480,f472]) ).

fof(f1914,plain,
    ( $false
    | ~ spl24_32
    | ~ spl24_34 ),
    inference(forward_subsumption_resolution,[],[f1910,f147]) ).

fof(f1915,plain,
    ( ~ spl24_32
    | ~ spl24_34 ),
    inference(avatar_contradiction_clause,[],[f1914]) ).

fof(f1936,plain,
    ( e1 = e3
    | ~ spl24_52
    | ~ spl24_54 ),
    inference(forward_demodulation,[],[f556,f564]) ).

fof(f1938,plain,
    ( e1 = e2
    | ~ spl24_118
    | ~ spl24_119 ),
    inference(forward_demodulation,[],[f833,f837]) ).

fof(f1939,plain,
    ( $false
    | ~ spl24_52
    | ~ spl24_54 ),
    inference(forward_subsumption_resolution,[],[f1936,f147]) ).

fof(f1940,plain,
    ( ~ spl24_52
    | ~ spl24_54 ),
    inference(avatar_contradiction_clause,[],[f1939]) ).

fof(f1941,plain,
    ( $false
    | ~ spl24_118
    | ~ spl24_119 ),
    inference(forward_subsumption_resolution,[],[f1938,f148]) ).

fof(f1942,plain,
    ( ~ spl24_118
    | ~ spl24_119 ),
    inference(avatar_contradiction_clause,[],[f1941]) ).

fof(f1944,plain,
    ( e2 = e3
    | ~ spl24_77
    | ~ spl24_78 ),
    inference(forward_demodulation,[],[f661,f665]) ).

fof(f1946,plain,
    ( $false
    | ~ spl24_77
    | ~ spl24_78 ),
    inference(forward_subsumption_resolution,[],[f1944,f145]) ).

fof(f1947,plain,
    ( ~ spl24_77
    | ~ spl24_78 ),
    inference(avatar_contradiction_clause,[],[f1946]) ).

fof(f1964,plain,
    ( e0 = e2
    | ~ spl24_23
    | ~ spl24_25 ),
    inference(superposition,[],[f434,f442]) ).

fof(f1966,plain,
    ( $false
    | ~ spl24_23
    | ~ spl24_25 ),
    inference(forward_subsumption_resolution,[],[f1964,f151]) ).

fof(f1967,plain,
    ( ~ spl24_23
    | ~ spl24_25 ),
    inference(avatar_contradiction_clause,[],[f1966]) ).

fof(f1973,plain,
    ( e1 = e2
    | ~ spl24_38
    | ~ spl24_39 ),
    inference(superposition,[],[f501,f497]) ).

fof(f1977,plain,
    ( $false
    | ~ spl24_38
    | ~ spl24_39 ),
    inference(forward_subsumption_resolution,[],[f1973,f148]) ).

fof(f1978,plain,
    ( ~ spl24_38
    | ~ spl24_39 ),
    inference(avatar_contradiction_clause,[],[f1977]) ).

fof(f1987,plain,
    ( e3 = e4
    | ~ spl24_51
    | ~ spl24_52 ),
    inference(superposition,[],[f556,f552]) ).

fof(f1991,plain,
    ( $false
    | ~ spl24_51
    | ~ spl24_52 ),
    inference(forward_subsumption_resolution,[],[f1987,f143]) ).

fof(f1992,plain,
    ( ~ spl24_51
    | ~ spl24_52 ),
    inference(avatar_contradiction_clause,[],[f1991]) ).

fof(f2000,plain,
    ( e0 = e3
    | ~ spl24_52
    | ~ spl24_55 ),
    inference(superposition,[],[f568,f556]) ).

fof(f2001,plain,
    ( e0 = e3
    | ~ spl24_52
    | ~ spl24_55 ),
    inference(superposition,[],[f556,f568]) ).

fof(f2002,plain,
    ( $false
    | ~ spl24_52
    | ~ spl24_55 ),
    inference(forward_subsumption_resolution,[],[f2001,f150]) ).

fof(f2003,plain,
    ( ~ spl24_52
    | ~ spl24_55 ),
    inference(avatar_contradiction_clause,[],[f2002]) ).

fof(f2004,plain,
    ( $false
    | ~ spl24_52
    | ~ spl24_55 ),
    inference(forward_subsumption_resolution,[],[f2000,f150]) ).

fof(f2005,plain,
    ( ~ spl24_52
    | ~ spl24_55 ),
    inference(avatar_contradiction_clause,[],[f2004]) ).

fof(f2027,plain,
    ( e0 = e4
    | ~ spl24_91
    | ~ spl24_95 ),
    inference(superposition,[],[f736,f720]) ).

fof(f2031,plain,
    ( $false
    | ~ spl24_91
    | ~ spl24_95 ),
    inference(forward_subsumption_resolution,[],[f2027,f149]) ).

fof(f2032,plain,
    ( ~ spl24_91
    | ~ spl24_95 ),
    inference(avatar_contradiction_clause,[],[f2031]) ).

fof(f2034,plain,
    ( e0 = e2
    | ~ spl24_3
    | ~ spl24_5 ),
    inference(superposition,[],[f358,f350]) ).

fof(f2039,plain,
    ( $false
    | ~ spl24_3
    | ~ spl24_5 ),
    inference(forward_subsumption_resolution,[],[f2034,f151]) ).

fof(f2040,plain,
    ( ~ spl24_3
    | ~ spl24_5 ),
    inference(avatar_contradiction_clause,[],[f2039]) ).

fof(f2047,plain,
    ( e0 = e1
    | ~ spl24_119
    | ~ spl24_120 ),
    inference(forward_demodulation,[],[f837,f841]) ).

fof(f2048,plain,
    ( e1 = e3
    | ~ spl24_122
    | ~ spl24_124 ),
    inference(forward_demodulation,[],[f850,f858]) ).

fof(f2066,plain,
    ( $false
    | ~ spl24_119
    | ~ spl24_120 ),
    inference(forward_subsumption_resolution,[],[f2047,f152]) ).

fof(f2067,plain,
    ( ~ spl24_119
    | ~ spl24_120 ),
    inference(avatar_contradiction_clause,[],[f2066]) ).

fof(f2068,plain,
    ( $false
    | ~ spl24_122
    | ~ spl24_124 ),
    inference(forward_subsumption_resolution,[],[f2048,f147]) ).

fof(f2069,plain,
    ( ~ spl24_122
    | ~ spl24_124 ),
    inference(avatar_contradiction_clause,[],[f2068]) ).

fof(f2078,plain,
    ( e4 = op(e4,e4)
    | ~ spl24_126 ),
    inference(superposition,[],[f304,f867]) ).

fof(f2083,plain,
    ( e2 = op(e4,e2)
    | ~ spl24_126 ),
    inference(superposition,[],[f309,f867]) ).

fof(f2092,plain,
    ( $false
    | spl24_13
    | ~ spl24_126 ),
    inference(forward_subsumption_resolution,[],[f2083,f391]) ).

fof(f2093,plain,
    ( spl24_13
    | ~ spl24_126 ),
    inference(avatar_contradiction_clause,[],[f2092]) ).

fof(f2099,plain,
    ( e0 = e4
    | ~ spl24_5
    | ~ spl24_126 ),
    inference(forward_demodulation,[],[f2078,f358]) ).

fof(f2104,plain,
    ( $false
    | ~ spl24_5
    | ~ spl24_126 ),
    inference(forward_subsumption_resolution,[],[f2099,f149]) ).

fof(f2105,plain,
    ( ~ spl24_5
    | ~ spl24_126 ),
    inference(avatar_contradiction_clause,[],[f2104]) ).

fof(f2109,plain,
    ( e0 = e2
    | ~ spl24_123
    | ~ spl24_125 ),
    inference(forward_demodulation,[],[f854,f862]) ).

fof(f2118,plain,
    ( $false
    | ~ spl24_123
    | ~ spl24_125 ),
    inference(forward_subsumption_resolution,[],[f2109,f151]) ).

fof(f2119,plain,
    ( ~ spl24_123
    | ~ spl24_125 ),
    inference(avatar_contradiction_clause,[],[f2118]) ).

fof(f2129,plain,
    ( e0 = op(e0,e3)
    | ~ spl24_127 ),
    inference(superposition,[],[f312,f871]) ).

fof(f2133,plain,
    ( spl24_110
    | ~ spl24_127 ),
    inference(avatar_split_clause,[],[f2129,f869,f797]) ).

fof(f2150,plain,
    ( e3 = e4
    | ~ spl24_91
    | ~ spl24_92 ),
    inference(superposition,[],[f724,f720]) ).

fof(f2154,plain,
    ( $false
    | ~ spl24_91
    | ~ spl24_92 ),
    inference(forward_subsumption_resolution,[],[f2150,f143]) ).

fof(f2155,plain,
    ( ~ spl24_91
    | ~ spl24_92 ),
    inference(avatar_contradiction_clause,[],[f2154]) ).

fof(f2161,plain,
    ( e0 = e4
    | ~ spl24_66
    | ~ spl24_70 ),
    inference(superposition,[],[f631,f615]) ).

fof(f2165,plain,
    ( $false
    | ~ spl24_66
    | ~ spl24_70 ),
    inference(forward_subsumption_resolution,[],[f2161,f149]) ).

fof(f2166,plain,
    ( ~ spl24_66
    | ~ spl24_70 ),
    inference(avatar_contradiction_clause,[],[f2165]) ).

fof(f2212,plain,
    ( e1 = e4
    | ~ spl24_51
    | ~ spl24_54 ),
    inference(superposition,[],[f564,f552]) ).

fof(f2216,plain,
    ( $false
    | ~ spl24_51
    | ~ spl24_54 ),
    inference(forward_subsumption_resolution,[],[f2212,f146]) ).

fof(f2217,plain,
    ( ~ spl24_51
    | ~ spl24_54 ),
    inference(avatar_contradiction_clause,[],[f2216]) ).

fof(f2227,plain,
    ( e0 = e2
    | ~ spl24_88
    | ~ spl24_90 ),
    inference(forward_demodulation,[],[f707,f715]) ).

fof(f2228,plain,
    ( $false
    | ~ spl24_88
    | ~ spl24_90 ),
    inference(forward_subsumption_resolution,[],[f2227,f151]) ).

fof(f2229,plain,
    ( ~ spl24_88
    | ~ spl24_90 ),
    inference(avatar_contradiction_clause,[],[f2228]) ).

fof(f2239,plain,
    ( e1 = e3
    | ~ spl24_67
    | ~ spl24_69 ),
    inference(superposition,[],[f627,f619]) ).

fof(f2240,plain,
    ( e1 = e3
    | ~ spl24_67
    | ~ spl24_69 ),
    inference(superposition,[],[f619,f627]) ).

fof(f2242,plain,
    ( $false
    | ~ spl24_67
    | ~ spl24_69 ),
    inference(forward_subsumption_resolution,[],[f2240,f147]) ).

fof(f2243,plain,
    ( ~ spl24_67
    | ~ spl24_69 ),
    inference(avatar_contradiction_clause,[],[f2242]) ).

fof(f2244,plain,
    ( $false
    | ~ spl24_67
    | ~ spl24_69 ),
    inference(forward_subsumption_resolution,[],[f2239,f147]) ).

fof(f2245,plain,
    ( ~ spl24_67
    | ~ spl24_69 ),
    inference(avatar_contradiction_clause,[],[f2244]) ).

fof(f2247,plain,
    ( e0 = e1
    | ~ spl24_74
    | ~ spl24_75 ),
    inference(forward_demodulation,[],[f648,f652]) ).

fof(f2248,plain,
    ( $false
    | ~ spl24_74
    | ~ spl24_75 ),
    inference(forward_subsumption_resolution,[],[f2247,f152]) ).

fof(f2249,plain,
    ( ~ spl24_74
    | ~ spl24_75 ),
    inference(avatar_contradiction_clause,[],[f2248]) ).

fof(f2253,plain,
    ( e0 = e2
    | ~ spl24_73
    | ~ spl24_75 ),
    inference(forward_demodulation,[],[f644,f652]) ).

fof(f2281,plain,
    ( $false
    | ~ spl24_73
    | ~ spl24_75 ),
    inference(forward_subsumption_resolution,[],[f2253,f151]) ).

fof(f2282,plain,
    ( ~ spl24_73
    | ~ spl24_75 ),
    inference(avatar_contradiction_clause,[],[f2281]) ).

fof(f2288,plain,
    ( e0 = e3
    | ~ spl24_42
    | ~ spl24_45 ),
    inference(forward_demodulation,[],[f514,f526]) ).

fof(f2289,plain,
    ( e0 = e2
    | ~ spl24_43
    | ~ spl24_45 ),
    inference(forward_demodulation,[],[f518,f526]) ).

fof(f2294,plain,
    ( e0 = e1
    | ~ spl24_89
    | ~ spl24_90 ),
    inference(forward_demodulation,[],[f711,f715]) ).

fof(f2328,plain,
    ( $false
    | ~ spl24_42
    | ~ spl24_45 ),
    inference(forward_subsumption_resolution,[],[f2288,f150]) ).

fof(f2329,plain,
    ( ~ spl24_42
    | ~ spl24_45 ),
    inference(avatar_contradiction_clause,[],[f2328]) ).

fof(f2330,plain,
    ( $false
    | ~ spl24_43
    | ~ spl24_45 ),
    inference(forward_subsumption_resolution,[],[f2289,f151]) ).

fof(f2331,plain,
    ( ~ spl24_43
    | ~ spl24_45 ),
    inference(avatar_contradiction_clause,[],[f2330]) ).

fof(f2332,plain,
    ( $false
    | ~ spl24_89
    | ~ spl24_90 ),
    inference(forward_subsumption_resolution,[],[f2294,f152]) ).

fof(f2333,plain,
    ( ~ spl24_89
    | ~ spl24_90 ),
    inference(avatar_contradiction_clause,[],[f2332]) ).

fof(f2337,plain,
    ( e1 = e2
    | ~ spl24_68
    | ~ spl24_69 ),
    inference(forward_demodulation,[],[f623,f627]) ).

fof(f2345,plain,
    ( $false
    | ~ spl24_68
    | ~ spl24_69 ),
    inference(forward_subsumption_resolution,[],[f2337,f148]) ).

fof(f2346,plain,
    ( ~ spl24_68
    | ~ spl24_69 ),
    inference(avatar_contradiction_clause,[],[f2345]) ).

fof(f2347,plain,
    ( e4 = op(e4,e4)
    | ~ spl24_126 ),
    inference(superposition,[],[f304,f867]) ).

fof(f2359,plain,
    ( e3 = e4
    | ~ spl24_36
    | ~ spl24_37 ),
    inference(forward_demodulation,[],[f489,f493]) ).

fof(f2362,plain,
    ( $false
    | ~ spl24_36
    | ~ spl24_37 ),
    inference(forward_subsumption_resolution,[],[f2359,f143]) ).

fof(f2363,plain,
    ( ~ spl24_36
    | ~ spl24_37 ),
    inference(avatar_contradiction_clause,[],[f2362]) ).

fof(f2372,plain,
    ( e2 = e4
    | ~ spl24_31
    | ~ spl24_33 ),
    inference(forward_demodulation,[],[f468,f476]) ).

fof(f2374,plain,
    ( $false
    | ~ spl24_31
    | ~ spl24_33 ),
    inference(forward_subsumption_resolution,[],[f2372,f144]) ).

fof(f2375,plain,
    ( ~ spl24_31
    | ~ spl24_33 ),
    inference(avatar_contradiction_clause,[],[f2374]) ).

fof(f2385,plain,
    ( e0 = e3
    | ~ spl24_7
    | ~ spl24_10 ),
    inference(superposition,[],[f379,f367]) ).

fof(f2391,plain,
    ( $false
    | ~ spl24_7
    | ~ spl24_10 ),
    inference(forward_subsumption_resolution,[],[f2385,f150]) ).

fof(f2392,plain,
    ( ~ spl24_7
    | ~ spl24_10 ),
    inference(avatar_contradiction_clause,[],[f2391]) ).

fof(f2421,plain,
    ( e0 = e4
    | ~ spl24_36
    | ~ spl24_40 ),
    inference(superposition,[],[f489,f505]) ).

fof(f2422,plain,
    ( $false
    | ~ spl24_36
    | ~ spl24_40 ),
    inference(forward_subsumption_resolution,[],[f2421,f149]) ).

fof(f2423,plain,
    ( ~ spl24_36
    | ~ spl24_40 ),
    inference(avatar_contradiction_clause,[],[f2422]) ).

fof(f2438,plain,
    ( e1 = e4
    | ~ spl24_56
    | ~ spl24_59 ),
    inference(superposition,[],[f585,f573]) ).

fof(f2443,plain,
    ( $false
    | ~ spl24_56
    | ~ spl24_59 ),
    inference(forward_subsumption_resolution,[],[f2438,f146]) ).

fof(f2444,plain,
    ( ~ spl24_56
    | ~ spl24_59 ),
    inference(avatar_contradiction_clause,[],[f2443]) ).

fof(f2446,plain,
    ( e3 = e4
    | ~ spl24_61
    | ~ spl24_62 ),
    inference(forward_demodulation,[],[f594,f598]) ).

fof(f2449,plain,
    ( $false
    | ~ spl24_61
    | ~ spl24_62 ),
    inference(forward_subsumption_resolution,[],[f2446,f143]) ).

fof(f2450,plain,
    ( ~ spl24_61
    | ~ spl24_62 ),
    inference(avatar_contradiction_clause,[],[f2449]) ).

fof(f2458,plain,
    ( e0 = e4
    | ~ spl24_56
    | ~ spl24_60 ),
    inference(superposition,[],[f589,f573]) ).

fof(f2463,plain,
    ( $false
    | ~ spl24_56
    | ~ spl24_60 ),
    inference(forward_subsumption_resolution,[],[f2458,f149]) ).

fof(f2464,plain,
    ( ~ spl24_56
    | ~ spl24_60 ),
    inference(avatar_contradiction_clause,[],[f2463]) ).

fof(f2466,plain,
    ( e0 = e2
    | ~ spl24_53
    | ~ spl24_55 ),
    inference(superposition,[],[f568,f560]) ).

fof(f2471,plain,
    ( $false
    | ~ spl24_53
    | ~ spl24_55 ),
    inference(forward_subsumption_resolution,[],[f2466,f151]) ).

fof(f2472,plain,
    ( ~ spl24_53
    | ~ spl24_55 ),
    inference(avatar_contradiction_clause,[],[f2471]) ).

fof(f2475,plain,
    ( e0 = e3
    | ~ spl24_62
    | ~ spl24_65 ),
    inference(superposition,[],[f610,f598]) ).

fof(f2480,plain,
    ( $false
    | ~ spl24_62
    | ~ spl24_65 ),
    inference(forward_subsumption_resolution,[],[f2475,f150]) ).

fof(f2481,plain,
    ( ~ spl24_62
    | ~ spl24_65 ),
    inference(avatar_contradiction_clause,[],[f2480]) ).

fof(f2482,plain,
    ( e0 = e1
    | ~ spl24_39
    | ~ spl24_40 ),
    inference(forward_demodulation,[],[f501,f505]) ).

fof(f2490,plain,
    ( $false
    | ~ spl24_39
    | ~ spl24_40 ),
    inference(forward_subsumption_resolution,[],[f2482,f152]) ).

fof(f2491,plain,
    ( ~ spl24_39
    | ~ spl24_40 ),
    inference(avatar_contradiction_clause,[],[f2490]) ).

fof(f2493,plain,
    ( e1 = e2
    | ~ spl24_33
    | ~ spl24_34 ),
    inference(superposition,[],[f480,f476]) ).

fof(f2494,plain,
    ( e1 = e2
    | ~ spl24_33
    | ~ spl24_34 ),
    inference(superposition,[],[f476,f480]) ).

fof(f2495,plain,
    ( $false
    | ~ spl24_33
    | ~ spl24_34 ),
    inference(forward_subsumption_resolution,[],[f2494,f148]) ).

fof(f2496,plain,
    ( ~ spl24_33
    | ~ spl24_34 ),
    inference(avatar_contradiction_clause,[],[f2495]) ).

fof(f2497,plain,
    ( $false
    | ~ spl24_33
    | ~ spl24_34 ),
    inference(forward_subsumption_resolution,[],[f2493,f148]) ).

fof(f2498,plain,
    ( ~ spl24_33
    | ~ spl24_34 ),
    inference(avatar_contradiction_clause,[],[f2497]) ).

fof(f2508,plain,
    ( e0 = e2
    | ~ spl24_68
    | ~ spl24_70 ),
    inference(forward_demodulation,[],[f623,f631]) ).

fof(f2509,plain,
    ( e1 = e4
    | ~ spl24_71
    | ~ spl24_74 ),
    inference(forward_demodulation,[],[f636,f648]) ).

fof(f2517,plain,
    ( $false
    | ~ spl24_68
    | ~ spl24_70 ),
    inference(forward_subsumption_resolution,[],[f2508,f151]) ).

fof(f2518,plain,
    ( ~ spl24_68
    | ~ spl24_70 ),
    inference(avatar_contradiction_clause,[],[f2517]) ).

fof(f2519,plain,
    ( $false
    | ~ spl24_71
    | ~ spl24_74 ),
    inference(forward_subsumption_resolution,[],[f2509,f146]) ).

fof(f2520,plain,
    ( ~ spl24_71
    | ~ spl24_74 ),
    inference(avatar_contradiction_clause,[],[f2519]) ).

fof(f2523,plain,
    ( e0 = e1
    | ~ spl24_69
    | ~ spl24_70 ),
    inference(forward_demodulation,[],[f627,f631]) ).

fof(f2527,plain,
    ( $false
    | ~ spl24_69
    | ~ spl24_70 ),
    inference(forward_subsumption_resolution,[],[f2523,f152]) ).

fof(f2528,plain,
    ( ~ spl24_69
    | ~ spl24_70 ),
    inference(avatar_contradiction_clause,[],[f2527]) ).

fof(f2535,plain,
    ( e2 = e4
    | ~ spl24_41
    | ~ spl24_43 ),
    inference(superposition,[],[f518,f510]) ).

fof(f2540,plain,
    ( $false
    | ~ spl24_41
    | ~ spl24_43 ),
    inference(forward_subsumption_resolution,[],[f2535,f144]) ).

fof(f2541,plain,
    ( ~ spl24_41
    | ~ spl24_43 ),
    inference(avatar_contradiction_clause,[],[f2540]) ).

fof(f2545,plain,
    ( e0 = e2
    | ~ spl24_83
    | ~ spl24_85 ),
    inference(forward_demodulation,[],[f686,f694]) ).

fof(f2554,plain,
    ( $false
    | ~ spl24_83
    | ~ spl24_85 ),
    inference(forward_subsumption_resolution,[],[f2545,f151]) ).

fof(f2555,plain,
    ( ~ spl24_83
    | ~ spl24_85 ),
    inference(avatar_contradiction_clause,[],[f2554]) ).

fof(f2564,plain,
    ( e0 = e1
    | ~ spl24_124
    | ~ spl24_125 ),
    inference(forward_demodulation,[],[f858,f862]) ).

fof(f2567,plain,
    ( $false
    | ~ spl24_124
    | ~ spl24_125 ),
    inference(forward_subsumption_resolution,[],[f2564,f152]) ).

fof(f2568,plain,
    ( ~ spl24_124
    | ~ spl24_125 ),
    inference(avatar_contradiction_clause,[],[f2567]) ).

fof(f2572,plain,
    ( e0 = e3
    | ~ spl24_122
    | ~ spl24_125 ),
    inference(forward_demodulation,[],[f850,f862]) ).

fof(f2577,plain,
    ( $false
    | ~ spl24_122
    | ~ spl24_125 ),
    inference(forward_subsumption_resolution,[],[f2572,f150]) ).

fof(f2578,plain,
    ( ~ spl24_122
    | ~ spl24_125 ),
    inference(avatar_contradiction_clause,[],[f2577]) ).

fof(f2581,plain,
    ( e1 = e3
    | ~ spl24_37
    | ~ spl24_39 ),
    inference(forward_demodulation,[],[f493,f501]) ).

fof(f2595,plain,
    ( $false
    | ~ spl24_37
    | ~ spl24_39 ),
    inference(forward_subsumption_resolution,[],[f2581,f147]) ).

fof(f2596,plain,
    ( ~ spl24_37
    | ~ spl24_39 ),
    inference(avatar_contradiction_clause,[],[f2595]) ).

fof(f2608,plain,
    ( e1 = e4
    | ~ spl24_1
    | ~ spl24_4 ),
    inference(superposition,[],[f354,f342]) ).

fof(f2613,plain,
    ( $false
    | ~ spl24_1
    | ~ spl24_4 ),
    inference(forward_subsumption_resolution,[],[f2608,f146]) ).

fof(f2614,plain,
    ( ~ spl24_1
    | ~ spl24_4 ),
    inference(avatar_contradiction_clause,[],[f2613]) ).

fof(f2616,plain,
    ( e2 = e4
    | ~ spl24_11
    | ~ spl24_13 ),
    inference(forward_demodulation,[],[f384,f392]) ).

fof(f2620,plain,
    ( e1 = e4
    | ~ spl24_4
    | ~ spl24_126 ),
    inference(forward_demodulation,[],[f2347,f354]) ).

fof(f2621,plain,
    ( $false
    | ~ spl24_11
    | ~ spl24_13 ),
    inference(forward_subsumption_resolution,[],[f2616,f144]) ).

fof(f2622,plain,
    ( ~ spl24_11
    | ~ spl24_13 ),
    inference(avatar_contradiction_clause,[],[f2621]) ).

fof(f2625,plain,
    ( $false
    | ~ spl24_4
    | ~ spl24_126 ),
    inference(forward_subsumption_resolution,[],[f2620,f146]) ).

fof(f2626,plain,
    ( ~ spl24_4
    | ~ spl24_126 ),
    inference(avatar_contradiction_clause,[],[f2625]) ).

fof(f2630,plain,
    ( e2 = e4
    | ~ spl24_61
    | ~ spl24_63 ),
    inference(forward_demodulation,[],[f594,f602]) ).

fof(f2634,plain,
    ( e2 = e4
    | ~ spl24_3
    | ~ spl24_126 ),
    inference(forward_demodulation,[],[f2347,f350]) ).

fof(f2637,plain,
    ( $false
    | ~ spl24_61
    | ~ spl24_63 ),
    inference(forward_subsumption_resolution,[],[f2630,f144]) ).

fof(f2638,plain,
    ( ~ spl24_61
    | ~ spl24_63 ),
    inference(avatar_contradiction_clause,[],[f2637]) ).

fof(f2641,plain,
    ( $false
    | ~ spl24_3
    | ~ spl24_126 ),
    inference(forward_subsumption_resolution,[],[f2634,f144]) ).

fof(f2642,plain,
    ( ~ spl24_3
    | ~ spl24_126 ),
    inference(avatar_contradiction_clause,[],[f2641]) ).

fof(f2646,plain,
    ( e2 = e3
    | ~ spl24_62
    | ~ spl24_63 ),
    inference(forward_demodulation,[],[f598,f602]) ).

fof(f2660,plain,
    ( $false
    | ~ spl24_62
    | ~ spl24_63 ),
    inference(forward_subsumption_resolution,[],[f2646,f145]) ).

fof(f2661,plain,
    ( ~ spl24_62
    | ~ spl24_63 ),
    inference(avatar_contradiction_clause,[],[f2660]) ).

fof(f2685,plain,
    ( e1 = e4
    | ~ spl24_36
    | ~ spl24_39 ),
    inference(forward_demodulation,[],[f489,f501]) ).

fof(f2689,plain,
    ( $false
    | ~ spl24_36
    | ~ spl24_39 ),
    inference(forward_subsumption_resolution,[],[f2685,f146]) ).

fof(f2690,plain,
    ( ~ spl24_36
    | ~ spl24_39 ),
    inference(avatar_contradiction_clause,[],[f2689]) ).

fof(f2699,plain,
    ( e1 = e2
    | ~ spl24_53
    | ~ spl24_54 ),
    inference(superposition,[],[f564,f560]) ).

fof(f2704,plain,
    ( $false
    | ~ spl24_53
    | ~ spl24_54 ),
    inference(forward_subsumption_resolution,[],[f2699,f148]) ).

fof(f2705,plain,
    ( ~ spl24_53
    | ~ spl24_54 ),
    inference(avatar_contradiction_clause,[],[f2704]) ).

fof(f2755,plain,
    ( e2 = op(e0,e2)
    | ~ spl24_130 ),
    inference(superposition,[],[f309,f883]) ).

fof(f2763,plain,
    ( e1 = e2
    | ~ spl24_114
    | ~ spl24_130 ),
    inference(forward_demodulation,[],[f2755,f816]) ).

fof(f2764,plain,
    ( $false
    | ~ spl24_114
    | ~ spl24_130 ),
    inference(forward_subsumption_resolution,[],[f2763,f148]) ).

fof(f2765,plain,
    ( ~ spl24_114
    | ~ spl24_130 ),
    inference(avatar_contradiction_clause,[],[f2764]) ).

fof(f2767,plain,
    ( spl24_113
    | ~ spl24_130 ),
    inference(avatar_split_clause,[],[f2755,f881,f810]) ).

fof(f2770,plain,
    ( e1 = e2
    | ~ spl24_3
    | ~ spl24_4 ),
    inference(superposition,[],[f354,f350]) ).

fof(f2776,plain,
    ( $false
    | ~ spl24_3
    | ~ spl24_4 ),
    inference(forward_subsumption_resolution,[],[f2770,f148]) ).

fof(f2777,plain,
    ( ~ spl24_3
    | ~ spl24_4 ),
    inference(avatar_contradiction_clause,[],[f2776]) ).

fof(f2796,plain,
    ( e2 = e4
    | ~ spl24_71
    | ~ spl24_73 ),
    inference(superposition,[],[f644,f636]) ).

fof(f2800,plain,
    ( $false
    | ~ spl24_71
    | ~ spl24_73 ),
    inference(forward_subsumption_resolution,[],[f2796,f144]) ).

fof(f2801,plain,
    ( ~ spl24_71
    | ~ spl24_73 ),
    inference(avatar_contradiction_clause,[],[f2800]) ).

fof(f2802,plain,
    ( e0 = e1
    | ~ spl24_54
    | ~ spl24_55 ),
    inference(forward_demodulation,[],[f564,f568]) ).

fof(f2811,plain,
    ( $false
    | ~ spl24_54
    | ~ spl24_55 ),
    inference(forward_subsumption_resolution,[],[f2802,f152]) ).

fof(f2812,plain,
    ( ~ spl24_54
    | ~ spl24_55 ),
    inference(avatar_contradiction_clause,[],[f2811]) ).

fof(f2869,plain,
    ( e0 = e1
    | ~ spl24_4
    | ~ spl24_5 ),
    inference(superposition,[],[f358,f354]) ).

fof(f2876,plain,
    ( $false
    | ~ spl24_4
    | ~ spl24_5 ),
    inference(forward_subsumption_resolution,[],[f2869,f152]) ).

fof(f2877,plain,
    ( ~ spl24_4
    | ~ spl24_5 ),
    inference(avatar_contradiction_clause,[],[f2876]) ).

fof(f2917,plain,
    ( e1 = e3
    | ~ spl24_72
    | ~ spl24_74 ),
    inference(superposition,[],[f640,f648]) ).

fof(f2919,plain,
    ( $false
    | ~ spl24_72
    | ~ spl24_74 ),
    inference(forward_subsumption_resolution,[],[f2917,f147]) ).

fof(f2920,plain,
    ( ~ spl24_72
    | ~ spl24_74 ),
    inference(avatar_contradiction_clause,[],[f2919]) ).

fof(f2954,plain,
    ( e1 = e4
    | ~ spl24_91
    | ~ spl24_94 ),
    inference(superposition,[],[f732,f720]) ).

fof(f2958,plain,
    ( $false
    | ~ spl24_91
    | ~ spl24_94 ),
    inference(forward_subsumption_resolution,[],[f2954,f146]) ).

fof(f2959,plain,
    ( ~ spl24_91
    | ~ spl24_94 ),
    inference(avatar_contradiction_clause,[],[f2958]) ).

fof(f2971,plain,
    ( e1 = e4
    | ~ spl24_66
    | ~ spl24_69 ),
    inference(superposition,[],[f627,f615]) ).

fof(f2977,plain,
    ( $false
    | ~ spl24_66
    | ~ spl24_69 ),
    inference(forward_subsumption_resolution,[],[f2971,f146]) ).

fof(f2978,plain,
    ( ~ spl24_66
    | ~ spl24_69 ),
    inference(avatar_contradiction_clause,[],[f2977]) ).

fof(f3043,plain,
    ( e1 = e4
    | ~ spl24_31
    | ~ spl24_34 ),
    inference(superposition,[],[f480,f468]) ).

fof(f3047,plain,
    ( $false
    | ~ spl24_31
    | ~ spl24_34 ),
    inference(forward_subsumption_resolution,[],[f3043,f146]) ).

fof(f3048,plain,
    ( ~ spl24_31
    | ~ spl24_34 ),
    inference(avatar_contradiction_clause,[],[f3047]) ).

fof(f3099,plain,
    ( e0 = e4
    | ~ spl24_1
    | ~ spl24_5 ),
    inference(superposition,[],[f358,f342]) ).

fof(f3105,plain,
    ( $false
    | ~ spl24_1
    | ~ spl24_5 ),
    inference(forward_subsumption_resolution,[],[f3099,f149]) ).

fof(f3106,plain,
    ( ~ spl24_1
    | ~ spl24_5 ),
    inference(avatar_contradiction_clause,[],[f3105]) ).

fof(f3138,plain,
    ( e3 = e4
    | ~ spl24_106
    | ~ spl24_107 ),
    inference(superposition,[],[f787,f783]) ).

fof(f3142,plain,
    ( $false
    | ~ spl24_106
    | ~ spl24_107 ),
    inference(forward_subsumption_resolution,[],[f3138,f143]) ).

fof(f3143,plain,
    ( ~ spl24_106
    | ~ spl24_107 ),
    inference(avatar_contradiction_clause,[],[f3142]) ).

fof(f3155,plain,
    ( e3 = e4
    | ~ spl24_111
    | ~ spl24_112 ),
    inference(superposition,[],[f808,f804]) ).

fof(f3159,plain,
    ( $false
    | ~ spl24_111
    | ~ spl24_112 ),
    inference(forward_subsumption_resolution,[],[f3155,f143]) ).

fof(f3160,plain,
    ( ~ spl24_111
    | ~ spl24_112 ),
    inference(avatar_contradiction_clause,[],[f3159]) ).

fof(f3161,plain,
    ( e0 = e4
    | ~ spl24_86
    | ~ spl24_90 ),
    inference(forward_demodulation,[],[f699,f715]) ).

fof(f3165,plain,
    ( $false
    | ~ spl24_86
    | ~ spl24_90 ),
    inference(forward_subsumption_resolution,[],[f3161,f149]) ).

fof(f3166,plain,
    ( ~ spl24_86
    | ~ spl24_90 ),
    inference(avatar_contradiction_clause,[],[f3165]) ).

fof(f3220,plain,
    ( e1 = e4
    | ~ spl24_111
    | ~ spl24_114 ),
    inference(superposition,[],[f816,f804]) ).

fof(f3221,plain,
    ( e1 = e4
    | ~ spl24_111
    | ~ spl24_114 ),
    inference(superposition,[],[f804,f816]) ).

fof(f3222,plain,
    ( $false
    | ~ spl24_111
    | ~ spl24_114 ),
    inference(forward_subsumption_resolution,[],[f3221,f146]) ).

fof(f3223,plain,
    ( ~ spl24_111
    | ~ spl24_114 ),
    inference(avatar_contradiction_clause,[],[f3222]) ).

fof(f3224,plain,
    ( $false
    | ~ spl24_111
    | ~ spl24_114 ),
    inference(forward_subsumption_resolution,[],[f3220,f146]) ).

fof(f3225,plain,
    ( ~ spl24_111
    | ~ spl24_114 ),
    inference(avatar_contradiction_clause,[],[f3224]) ).

fof(f3237,plain,
    ( e2 = e4
    | ~ spl24_121
    | ~ spl24_123 ),
    inference(superposition,[],[f854,f846]) ).

fof(f3241,plain,
    ( $false
    | ~ spl24_121
    | ~ spl24_123 ),
    inference(forward_subsumption_resolution,[],[f3237,f144]) ).

fof(f3242,plain,
    ( ~ spl24_121
    | ~ spl24_123 ),
    inference(avatar_contradiction_clause,[],[f3241]) ).

fof(f3280,plain,
    ( e0 = e4
    | ~ spl24_61
    | ~ spl24_65 ),
    inference(superposition,[],[f610,f594]) ).

fof(f3285,plain,
    ( $false
    | ~ spl24_61
    | ~ spl24_65 ),
    inference(forward_subsumption_resolution,[],[f3280,f149]) ).

fof(f3286,plain,
    ( ~ spl24_61
    | ~ spl24_65 ),
    inference(avatar_contradiction_clause,[],[f3285]) ).

fof(f3294,plain,
    ( e0 = e2
    | ~ spl24_63
    | ~ spl24_65 ),
    inference(forward_demodulation,[],[f602,f610]) ).

fof(f3299,plain,
    ( e0 = e3
    | ~ spl24_107
    | ~ spl24_110 ),
    inference(forward_demodulation,[],[f787,f799]) ).

fof(f3334,plain,
    ( $false
    | ~ spl24_63
    | ~ spl24_65 ),
    inference(forward_subsumption_resolution,[],[f3294,f151]) ).

fof(f3335,plain,
    ( ~ spl24_63
    | ~ spl24_65 ),
    inference(avatar_contradiction_clause,[],[f3334]) ).

fof(f3336,plain,
    ( $false
    | ~ spl24_107
    | ~ spl24_110 ),
    inference(forward_subsumption_resolution,[],[f3299,f150]) ).

fof(f3337,plain,
    ( ~ spl24_107
    | ~ spl24_110 ),
    inference(avatar_contradiction_clause,[],[f3336]) ).

fof(f3341,plain,
    ( e0 = e2
    | ~ spl24_28
    | ~ spl24_30 ),
    inference(forward_demodulation,[],[f455,f463]) ).

fof(f3347,plain,
    ( e2 = e4
    | ~ spl24_81
    | ~ spl24_83 ),
    inference(forward_demodulation,[],[f678,f686]) ).

fof(f3374,plain,
    ( $false
    | ~ spl24_28
    | ~ spl24_30 ),
    inference(forward_subsumption_resolution,[],[f3341,f151]) ).

fof(f3375,plain,
    ( ~ spl24_28
    | ~ spl24_30 ),
    inference(avatar_contradiction_clause,[],[f3374]) ).

fof(f3376,plain,
    ( $false
    | ~ spl24_81
    | ~ spl24_83 ),
    inference(forward_subsumption_resolution,[],[f3347,f144]) ).

fof(f3377,plain,
    ( ~ spl24_81
    | ~ spl24_83 ),
    inference(avatar_contradiction_clause,[],[f3376]) ).

fof(f3378,plain,
    ( e0 = e3
    | ~ spl24_27
    | ~ spl24_30 ),
    inference(forward_demodulation,[],[f451,f463]) ).

fof(f3391,plain,
    ( $false
    | ~ spl24_27
    | ~ spl24_30 ),
    inference(forward_subsumption_resolution,[],[f3378,f150]) ).

fof(f3392,plain,
    ( ~ spl24_27
    | ~ spl24_30 ),
    inference(avatar_contradiction_clause,[],[f3391]) ).

cnf(s1,plain,
    ( spl24_1
    | spl24_2
    | spl24_3
    | spl24_4
    | spl24_5 ),
    inference(sat_conversion,[],[f359]) ).

cnf(s26,plain,
    ( spl24_126
    | spl24_127
    | spl24_128
    | spl24_129
    | spl24_130 ),
    inference(sat_conversion,[],[f884]) ).

cnf(s29,plain,
    ( spl24_2
    | spl24_27
    | spl24_52
    | spl24_77
    | spl24_102 ),
    inference(sat_conversion,[],[f887]) ).

cnf(s30,plain,
    ( spl24_2
    | spl24_7
    | spl24_12
    | spl24_17
    | spl24_22 ),
    inference(sat_conversion,[],[f888]) ).

cnf(s31,plain,
    ( spl24_3
    | spl24_28
    | spl24_53
    | spl24_78
    | spl24_103 ),
    inference(sat_conversion,[],[f889]) ).

cnf(s32,plain,
    ( spl24_3
    | spl24_8
    | spl24_13
    | spl24_18
    | spl24_23 ),
    inference(sat_conversion,[],[f890]) ).

cnf(s35,plain,
    ( spl24_5
    | spl24_30
    | spl24_55
    | spl24_80
    | spl24_105 ),
    inference(sat_conversion,[],[f893]) ).

cnf(s36,plain,
    ( spl24_5
    | spl24_10
    | spl24_15
    | spl24_20
    | spl24_25 ),
    inference(sat_conversion,[],[f894]) ).

cnf(s37,plain,
    ( spl24_6
    | spl24_31
    | spl24_56
    | spl24_81
    | spl24_106 ),
    inference(sat_conversion,[],[f895]) ).

cnf(s38,plain,
    ( spl24_26
    | spl24_31
    | spl24_36
    | spl24_41
    | spl24_46 ),
    inference(sat_conversion,[],[f896]) ).

cnf(s45,plain,
    ( spl24_10
    | spl24_35
    | spl24_60
    | spl24_85
    | spl24_110 ),
    inference(sat_conversion,[],[f903]) ).

cnf(s46,plain,
    ( spl24_30
    | spl24_35
    | spl24_40
    | spl24_45
    | spl24_50 ),
    inference(sat_conversion,[],[f904]) ).

cnf(s47,plain,
    ( spl24_11
    | spl24_36
    | spl24_61
    | spl24_86
    | spl24_111 ),
    inference(sat_conversion,[],[f905]) ).

cnf(s48,plain,
    ( spl24_51
    | spl24_56
    | spl24_61
    | spl24_66
    | spl24_71 ),
    inference(sat_conversion,[],[f906]) ).

cnf(s49,plain,
    ( spl24_12
    | spl24_37
    | spl24_62
    | spl24_87
    | spl24_112 ),
    inference(sat_conversion,[],[f907]) ).

cnf(s50,plain,
    ( spl24_52
    | spl24_57
    | spl24_62
    | spl24_67
    | spl24_72 ),
    inference(sat_conversion,[],[f908]) ).

cnf(s53,plain,
    ( spl24_14
    | spl24_39
    | spl24_64
    | spl24_89
    | spl24_114 ),
    inference(sat_conversion,[],[f911]) ).

cnf(s54,plain,
    ( spl24_54
    | spl24_59
    | spl24_64
    | spl24_69
    | spl24_74 ),
    inference(sat_conversion,[],[f912]) ).

cnf(s56,plain,
    ( spl24_55
    | spl24_60
    | spl24_65
    | spl24_70
    | spl24_75 ),
    inference(sat_conversion,[],[f914]) ).

cnf(s59,plain,
    ( spl24_17
    | spl24_42
    | spl24_67
    | spl24_92
    | spl24_117 ),
    inference(sat_conversion,[],[f917]) ).

cnf(s60,plain,
    ( spl24_77
    | spl24_82
    | spl24_87
    | spl24_92
    | spl24_97 ),
    inference(sat_conversion,[],[f918]) ).

cnf(s61,plain,
    ( spl24_18
    | spl24_43
    | spl24_68
    | spl24_93
    | spl24_118 ),
    inference(sat_conversion,[],[f919]) ).

cnf(s62,plain,
    ( spl24_78
    | spl24_83
    | spl24_88
    | spl24_93
    | spl24_98 ),
    inference(sat_conversion,[],[f920]) ).

cnf(s65,plain,
    ( spl24_20
    | spl24_45
    | spl24_70
    | spl24_95
    | spl24_120 ),
    inference(sat_conversion,[],[f923]) ).

cnf(s69,plain,
    ( spl24_22
    | spl24_47
    | spl24_72
    | spl24_97
    | spl24_122 ),
    inference(sat_conversion,[],[f927]) ).

cnf(s70,plain,
    ( spl24_102
    | spl24_107
    | spl24_112
    | spl24_117
    | spl24_122 ),
    inference(sat_conversion,[],[f928]) ).

cnf(s77,plain,
    spl24_91,
    inference(sat_conversion,[],[f935]) ).

cnf(s78,plain,
    ( ~ spl24_125
    | spl24_131
    | spl24_132
    | spl24_133
    | spl24_134
    | spl24_135
    | spl24_136
    | spl24_137
    | spl24_138
    | spl24_139
    | spl24_140
    | spl24_141
    | spl24_142
    | spl24_143
    | spl24_144
    | spl24_145
    | spl24_146
    | spl24_147
    | spl24_148
    | spl24_149
    | spl24_150
    | spl24_151
    | spl24_152
    | spl24_153
    | spl24_154 ),
    inference(sat_conversion,[],[f1033]) ).

cnf(s80,plain,
    ( spl24_125
    | spl24_131
    | spl24_132
    | spl24_133
    | spl24_134
    | spl24_135
    | spl24_136
    | spl24_137
    | spl24_138
    | spl24_139
    | spl24_140
    | spl24_141
    | spl24_142
    | spl24_143
    | spl24_144
    | spl24_145
    | spl24_146
    | spl24_147
    | spl24_148
    | spl24_149
    | spl24_150
    | spl24_151
    | spl24_152
    | spl24_153
    | spl24_154 ),
    inference(sat_conversion,[],[f1035]) ).

cnf(s82,plain,
    ( spl24_2
    | spl24_32
    | spl24_62
    | spl24_92
    | spl24_122 ),
    inference(sat_conversion,[],[f1037]) ).

cnf(s83,plain,
    ( spl24_3
    | spl24_33
    | spl24_63
    | spl24_93
    | spl24_123 ),
    inference(sat_conversion,[],[f1038]) ).

cnf(s84,plain,
    ( spl24_4
    | spl24_34
    | spl24_64
    | spl24_94
    | spl24_124 ),
    inference(sat_conversion,[],[f1039]) ).

cnf(s85,plain,
    ( spl24_5
    | spl24_35
    | spl24_65
    | spl24_95
    | spl24_125 ),
    inference(sat_conversion,[],[f1040]) ).

cnf(s86,plain,
    ( ~ spl24_1
    | ~ spl24_131 ),
    inference(sat_conversion,[],[f1041]) ).

cnf(s88,plain,
    ( spl24_1
    | ~ spl24_131 ),
    inference(sat_conversion,[],[f1043]) ).

cnf(s89,plain,
    ( ~ spl24_6
    | ~ spl24_132 ),
    inference(sat_conversion,[],[f1044]) ).

cnf(s90,plain,
    ( spl24_31
    | ~ spl24_132 ),
    inference(sat_conversion,[],[f1045]) ).

cnf(s91,plain,
    ( spl24_2
    | ~ spl24_132 ),
    inference(sat_conversion,[],[f1046]) ).

cnf(s93,plain,
    ( spl24_61
    | ~ spl24_133 ),
    inference(sat_conversion,[],[f1048]) ).

cnf(s94,plain,
    ( spl24_3
    | ~ spl24_133 ),
    inference(sat_conversion,[],[f1049]) ).

cnf(s97,plain,
    ( spl24_4
    | ~ spl24_134 ),
    inference(sat_conversion,[],[f1052]) ).

cnf(s99,plain,
    ( spl24_121
    | ~ spl24_135 ),
    inference(sat_conversion,[],[f1054]) ).

cnf(s100,plain,
    ( spl24_5
    | ~ spl24_135 ),
    inference(sat_conversion,[],[f1055]) ).

cnf(s102,plain,
    ( spl24_2
    | ~ spl24_136 ),
    inference(sat_conversion,[],[f1057]) ).

cnf(s103,plain,
    ( spl24_31
    | ~ spl24_136 ),
    inference(sat_conversion,[],[f1058]) ).

cnf(s104,plain,
    ( ~ spl24_32
    | ~ spl24_137 ),
    inference(sat_conversion,[],[f1059]) ).

cnf(s106,plain,
    ( spl24_32
    | ~ spl24_137 ),
    inference(sat_conversion,[],[f1061]) ).

cnf(s108,plain,
    ( spl24_62
    | ~ spl24_138 ),
    inference(sat_conversion,[],[f1063]) ).

cnf(s109,plain,
    ( spl24_33
    | ~ spl24_138 ),
    inference(sat_conversion,[],[f1064]) ).

cnf(s111,plain,
    ( spl24_92
    | ~ spl24_139 ),
    inference(sat_conversion,[],[f1066]) ).

cnf(s114,plain,
    ( spl24_122
    | ~ spl24_140 ),
    inference(sat_conversion,[],[f1069]) ).

cnf(s115,plain,
    ( spl24_35
    | ~ spl24_140 ),
    inference(sat_conversion,[],[f1070]) ).

cnf(s117,plain,
    ( spl24_3
    | ~ spl24_141 ),
    inference(sat_conversion,[],[f1072]) ).

cnf(s118,plain,
    ( spl24_61
    | ~ spl24_141 ),
    inference(sat_conversion,[],[f1073]) ).

cnf(s119,plain,
    ( ~ spl24_58
    | ~ spl24_142 ),
    inference(sat_conversion,[],[f1074]) ).

cnf(s120,plain,
    ( spl24_33
    | ~ spl24_142 ),
    inference(sat_conversion,[],[f1075]) ).

cnf(s121,plain,
    ( spl24_62
    | ~ spl24_142 ),
    inference(sat_conversion,[],[f1076]) ).

cnf(s122,plain,
    ( ~ spl24_63
    | ~ spl24_143 ),
    inference(sat_conversion,[],[f1077]) ).

cnf(s124,plain,
    ( spl24_63
    | ~ spl24_143 ),
    inference(sat_conversion,[],[f1079]) ).

cnf(s126,plain,
    ( spl24_93
    | ~ spl24_144 ),
    inference(sat_conversion,[],[f1081]) ).

cnf(s128,plain,
    ( ~ spl24_73
    | ~ spl24_145 ),
    inference(sat_conversion,[],[f1083]) ).

cnf(s129,plain,
    ( spl24_123
    | ~ spl24_145 ),
    inference(sat_conversion,[],[f1084]) ).

cnf(s130,plain,
    ( spl24_65
    | ~ spl24_145 ),
    inference(sat_conversion,[],[f1085]) ).

cnf(s132,plain,
    ( spl24_4
    | ~ spl24_146 ),
    inference(sat_conversion,[],[f1087]) ).

cnf(s136,plain,
    ( spl24_92
    | ~ spl24_147 ),
    inference(sat_conversion,[],[f1091]) ).

cnf(s139,plain,
    ( spl24_93
    | ~ spl24_148 ),
    inference(sat_conversion,[],[f1094]) ).

cnf(s142,plain,
    ( spl24_94
    | ~ spl24_149 ),
    inference(sat_conversion,[],[f1097]) ).

cnf(s145,plain,
    ( spl24_95
    | ~ spl24_150 ),
    inference(sat_conversion,[],[f1100]) ).

cnf(s147,plain,
    ( spl24_5
    | ~ spl24_151 ),
    inference(sat_conversion,[],[f1102]) ).

cnf(s148,plain,
    ( spl24_121
    | ~ spl24_151 ),
    inference(sat_conversion,[],[f1103]) ).

cnf(s149,plain,
    ( ~ spl24_110
    | ~ spl24_152 ),
    inference(sat_conversion,[],[f1104]) ).

cnf(s151,plain,
    ( spl24_122
    | ~ spl24_152 ),
    inference(sat_conversion,[],[f1106]) ).

cnf(s153,plain,
    ( spl24_65
    | ~ spl24_153 ),
    inference(sat_conversion,[],[f1108]) ).

cnf(s154,plain,
    ( spl24_123
    | ~ spl24_153 ),
    inference(sat_conversion,[],[f1109]) ).

cnf(s156,plain,
    ( spl24_95
    | ~ spl24_154 ),
    inference(sat_conversion,[],[f1111]) ).

cnf(s158,plain,
    spl24_90,
    inference(sat_conversion,[],[f1113]) ).

cnf(s159,plain,
    ( ~ spl24_22
    | ~ spl24_130 ),
    inference(sat_conversion,[],[f1117]) ).

cnf(s160,plain,
    ( ~ spl24_23
    | ~ spl24_130 ),
    inference(sat_conversion,[],[f1121]) ).

cnf(s161,plain,
    ( ~ spl24_2
    | ~ spl24_126 ),
    inference(sat_conversion,[],[f1126]) ).

cnf(s162,plain,
    ( spl24_6
    | ~ spl24_127 ),
    inference(sat_conversion,[],[f1131]) ).

cnf(s167,plain,
    ( ~ spl24_102
    | ~ spl24_130 ),
    inference(sat_conversion,[],[f1167]) ).

cnf(s169,plain,
    ( ~ spl24_103
    | ~ spl24_130 ),
    inference(sat_conversion,[],[f1177]) ).

cnf(s170,plain,
    ( ~ spl24_25
    | ~ spl24_130 ),
    inference(sat_conversion,[],[f1179]) ).

cnf(s171,plain,
    ( ~ spl24_63
    | ~ spl24_64 ),
    inference(sat_conversion,[],[f1185]) ).

cnf(s174,plain,
    ( ~ spl24_105
    | ~ spl24_130 ),
    inference(sat_conversion,[],[f1215]) ).

cnf(s175,plain,
    ( ~ spl24_74
    | ~ spl24_130 ),
    inference(sat_conversion,[],[f1225]) ).

cnf(s176,plain,
    ( spl24_73
    | ~ spl24_130 ),
    inference(sat_conversion,[],[f1228]) ).

cnf(s179,plain,
    ( spl24_99
    | ~ spl24_130 ),
    inference(sat_conversion,[],[f1238]) ).

cnf(s180,plain,
    ( spl24_119
    | ~ spl24_130 ),
    inference(sat_conversion,[],[f1240]) ).

cnf(s181,plain,
    ( spl24_125
    | ~ spl24_130 ),
    inference(sat_conversion,[],[f1242]) ).

cnf(s185,plain,
    ( ~ spl24_90
    | ~ spl24_128 ),
    inference(sat_conversion,[],[f1266]) ).

cnf(s191,plain,
    ( ~ spl24_90
    | ~ spl24_129 ),
    inference(sat_conversion,[],[f1292]) ).

cnf(s194,plain,
    ( ~ spl24_6
    | ~ spl24_7 ),
    inference(sat_conversion,[],[f1302]) ).

cnf(s195,plain,
    ( ~ spl24_6
    | ~ spl24_8 ),
    inference(sat_conversion,[],[f1306]) ).

cnf(s196,plain,
    ( ~ spl24_33
    | ~ spl24_35 ),
    inference(sat_conversion,[],[f1312]) ).

cnf(s198,plain,
    ( ~ spl24_58
    | ~ spl24_60 ),
    inference(sat_conversion,[],[f1319]) ).

cnf(s199,plain,
    ( ~ spl24_59
    | ~ spl24_60 ),
    inference(sat_conversion,[],[f1321]) ).

cnf(s202,plain,
    ( spl24_38
    | ~ spl24_127 ),
    inference(sat_conversion,[],[f1336]) ).

cnf(s204,plain,
    ( ~ spl24_35
    | ~ spl24_127 ),
    inference(sat_conversion,[],[f1342]) ).

cnf(s205,plain,
    ( spl24_32
    | ~ spl24_127 ),
    inference(sat_conversion,[],[f1344]) ).

cnf(s208,plain,
    ( ~ spl24_2
    | ~ spl24_3 ),
    inference(sat_conversion,[],[f1351]) ).

cnf(s210,plain,
    ( ~ spl24_2
    | ~ spl24_5 ),
    inference(sat_conversion,[],[f1358]) ).

cnf(s212,plain,
    ( ~ spl24_11
    | ~ spl24_12 ),
    inference(sat_conversion,[],[f1368]) ).

cnf(s213,plain,
    ( ~ spl24_37
    | ~ spl24_38 ),
    inference(sat_conversion,[],[f1372]) ).

cnf(s214,plain,
    ( ~ spl24_12
    | ~ spl24_13 ),
    inference(sat_conversion,[],[f1377]) ).

cnf(s217,plain,
    ( ~ spl24_62
    | ~ spl24_64 ),
    inference(sat_conversion,[],[f1390]) ).

cnf(s218,plain,
    ( ~ spl24_112
    | ~ spl24_113 ),
    inference(sat_conversion,[],[f1394]) ).

cnf(s219,plain,
    ( ~ spl24_87
    | ~ spl24_90 ),
    inference(sat_conversion,[],[f1398]) ).

cnf(s227,plain,
    ( ~ spl24_12
    | ~ spl24_14 ),
    inference(sat_conversion,[],[f1433]) ).

cnf(s229,plain,
    ( ~ spl24_12
    | ~ spl24_15 ),
    inference(sat_conversion,[],[f1444]) ).

cnf(s230,plain,
    ( ~ spl24_112
    | ~ spl24_114 ),
    inference(sat_conversion,[],[f1452]) ).

cnf(s231,plain,
    ( ~ spl24_123
    | ~ spl24_124 ),
    inference(sat_conversion,[],[f1454]) ).

cnf(s233,plain,
    ( ~ spl24_26
    | ~ spl24_27 ),
    inference(sat_conversion,[],[f1462]) ).

cnf(s235,plain,
    ( ~ spl24_26
    | ~ spl24_28 ),
    inference(sat_conversion,[],[f1469]) ).

cnf(s241,plain,
    ( ~ spl24_31
    | ~ spl24_32 ),
    inference(sat_conversion,[],[f1502]) ).

cnf(s243,plain,
    ( ~ spl24_36
    | ~ spl24_38 ),
    inference(sat_conversion,[],[f1511]) ).

cnf(s247,plain,
    ( ~ spl24_13
    | ~ spl24_15 ),
    inference(sat_conversion,[],[f1529]) ).

cnf(s249,plain,
    ( ~ spl24_6
    | ~ spl24_10 ),
    inference(sat_conversion,[],[f1538]) ).

cnf(s251,plain,
    ( ~ spl24_17
    | ~ spl24_18 ),
    inference(sat_conversion,[],[f1549]) ).

cnf(s257,plain,
    ( ~ spl24_46
    | ~ spl24_47 ),
    inference(sat_conversion,[],[f1575]) ).

cnf(s261,plain,
    ( ~ spl24_122
    | ~ spl24_123 ),
    inference(sat_conversion,[],[f1591]) ).

cnf(s262,plain,
    ( ~ spl24_72
    | ~ spl24_73 ),
    inference(sat_conversion,[],[f1595]) ).

cnf(s263,plain,
    ( ~ spl24_47
    | ~ spl24_50 ),
    inference(sat_conversion,[],[f1601]) ).

cnf(s265,plain,
    ( ~ spl24_14
    | ~ spl24_15 ),
    inference(sat_conversion,[],[f1613]) ).

cnf(s266,plain,
    ( ~ spl24_18
    | ~ spl24_20 ),
    inference(sat_conversion,[],[f1622]) ).

cnf(s267,plain,
    ( ~ spl24_18
    | ~ spl24_20 ),
    inference(sat_conversion,[],[f1624]) ).

cnf(s269,plain,
    ( ~ spl24_2
    | ~ spl24_4 ),
    inference(sat_conversion,[],[f1631]) ).

cnf(s271,plain,
    ( ~ spl24_22
    | ~ spl24_25 ),
    inference(sat_conversion,[],[f1644]) ).

cnf(s273,plain,
    ( ~ spl24_22
    | ~ spl24_23 ),
    inference(sat_conversion,[],[f1654]) ).

cnf(s274,plain,
    ( ~ spl24_13
    | ~ spl24_14 ),
    inference(sat_conversion,[],[f1658]) ).

cnf(s275,plain,
    ( ~ spl24_72
    | ~ spl24_75 ),
    inference(sat_conversion,[],[f1665]) ).

cnf(s279,plain,
    ( ~ spl24_51
    | ~ spl24_55 ),
    inference(sat_conversion,[],[f1685]) ).

cnf(s281,plain,
    ( ~ spl24_56
    | ~ spl24_57 ),
    inference(sat_conversion,[],[f1692]) ).

cnf(s283,plain,
    ( ~ spl24_57
    | ~ spl24_58 ),
    inference(sat_conversion,[],[f1700]) ).

cnf(s285,plain,
    ( ~ spl24_59
    | ~ spl24_127 ),
    inference(sat_conversion,[],[f1708]) ).

cnf(s286,plain,
    ( spl24_58
    | ~ spl24_127 ),
    inference(sat_conversion,[],[f1712]) ).

cnf(s287,plain,
    ( ~ spl24_17
    | ~ spl24_20 ),
    inference(sat_conversion,[],[f1714]) ).

cnf(s290,plain,
    ( ~ spl24_117
    | ~ spl24_119 ),
    inference(sat_conversion,[],[f1731]) ).

cnf(s291,plain,
    ( ~ spl24_32
    | ~ spl24_33 ),
    inference(sat_conversion,[],[f1740]) ).

cnf(s292,plain,
    ( ~ spl24_32
    | ~ spl24_33 ),
    inference(sat_conversion,[],[f1742]) ).

cnf(s294,plain,
    ( ~ spl24_64
    | ~ spl24_65 ),
    inference(sat_conversion,[],[f1750]) ).

cnf(s295,plain,
    ( ~ spl24_97
    | ~ spl24_99 ),
    inference(sat_conversion,[],[f1755]) ).

cnf(s297,plain,
    ( ~ spl24_66
    | ~ spl24_67 ),
    inference(sat_conversion,[],[f1766]) ).

cnf(s299,plain,
    ( ~ spl24_71
    | ~ spl24_72 ),
    inference(sat_conversion,[],[f1774]) ).

cnf(s300,plain,
    ( ~ spl24_61
    | ~ spl24_64 ),
    inference(sat_conversion,[],[f1781]) ).

cnf(s301,plain,
    ( ~ spl24_56
    | ~ spl24_58 ),
    inference(sat_conversion,[],[f1785]) ).

cnf(s302,plain,
    ( ~ spl24_67
    | ~ spl24_70 ),
    inference(sat_conversion,[],[f1793]) ).

cnf(s303,plain,
    ( ~ spl24_67
    | ~ spl24_70 ),
    inference(sat_conversion,[],[f1795]) ).

cnf(s305,plain,
    ( ~ spl24_98
    | ~ spl24_99 ),
    inference(sat_conversion,[],[f1808]) ).

cnf(s314,plain,
    ( ~ spl24_71
    | ~ spl24_75 ),
    inference(sat_conversion,[],[f1851]) ).

cnf(s315,plain,
    ( ~ spl24_78
    | ~ spl24_80 ),
    inference(sat_conversion,[],[f1863]) ).

cnf(s318,plain,
    ( ~ spl24_81
    | ~ spl24_82 ),
    inference(sat_conversion,[],[f1878]) ).

cnf(s322,plain,
    ( ~ spl24_91
    | ~ spl24_93 ),
    inference(sat_conversion,[],[f1893]) ).

cnf(s325,plain,
    ( ~ spl24_32
    | ~ spl24_34 ),
    inference(sat_conversion,[],[f1915]) ).

cnf(s328,plain,
    ( ~ spl24_52
    | ~ spl24_54 ),
    inference(sat_conversion,[],[f1940]) ).

cnf(s329,plain,
    ( ~ spl24_118
    | ~ spl24_119 ),
    inference(sat_conversion,[],[f1942]) ).

cnf(s330,plain,
    ( ~ spl24_77
    | ~ spl24_78 ),
    inference(sat_conversion,[],[f1947]) ).

cnf(s332,plain,
    ( ~ spl24_23
    | ~ spl24_25 ),
    inference(sat_conversion,[],[f1967]) ).

cnf(s335,plain,
    ( ~ spl24_38
    | ~ spl24_39 ),
    inference(sat_conversion,[],[f1978]) ).

cnf(s339,plain,
    ( ~ spl24_51
    | ~ spl24_52 ),
    inference(sat_conversion,[],[f1992]) ).

cnf(s340,plain,
    ( ~ spl24_52
    | ~ spl24_55 ),
    inference(sat_conversion,[],[f2003]) ).

cnf(s341,plain,
    ( ~ spl24_52
    | ~ spl24_55 ),
    inference(sat_conversion,[],[f2005]) ).

cnf(s344,plain,
    ( ~ spl24_91
    | ~ spl24_95 ),
    inference(sat_conversion,[],[f2032]) ).

cnf(s346,plain,
    ( ~ spl24_3
    | ~ spl24_5 ),
    inference(sat_conversion,[],[f2040]) ).

cnf(s348,plain,
    ( ~ spl24_119
    | ~ spl24_120 ),
    inference(sat_conversion,[],[f2067]) ).

cnf(s349,plain,
    ( ~ spl24_122
    | ~ spl24_124 ),
    inference(sat_conversion,[],[f2069]) ).

cnf(s353,plain,
    ( spl24_13
    | ~ spl24_126 ),
    inference(sat_conversion,[],[f2093]) ).

cnf(s358,plain,
    ( ~ spl24_5
    | ~ spl24_126 ),
    inference(sat_conversion,[],[f2105]) ).

cnf(s359,plain,
    ( ~ spl24_123
    | ~ spl24_125 ),
    inference(sat_conversion,[],[f2119]) ).

cnf(s360,plain,
    ( spl24_110
    | ~ spl24_127 ),
    inference(sat_conversion,[],[f2133]) ).

cnf(s364,plain,
    ( ~ spl24_91
    | ~ spl24_92 ),
    inference(sat_conversion,[],[f2155]) ).

cnf(s367,plain,
    ( ~ spl24_66
    | ~ spl24_70 ),
    inference(sat_conversion,[],[f2166]) ).

cnf(s377,plain,
    ( ~ spl24_51
    | ~ spl24_54 ),
    inference(sat_conversion,[],[f2217]) ).

cnf(s379,plain,
    ( ~ spl24_88
    | ~ spl24_90 ),
    inference(sat_conversion,[],[f2229]) ).

cnf(s380,plain,
    ( ~ spl24_67
    | ~ spl24_69 ),
    inference(sat_conversion,[],[f2243]) ).

cnf(s381,plain,
    ( ~ spl24_67
    | ~ spl24_69 ),
    inference(sat_conversion,[],[f2245]) ).

cnf(s382,plain,
    ( ~ spl24_74
    | ~ spl24_75 ),
    inference(sat_conversion,[],[f2249]) ).

cnf(s383,plain,
    ( ~ spl24_73
    | ~ spl24_75 ),
    inference(sat_conversion,[],[f2282]) ).

cnf(s385,plain,
    ( ~ spl24_42
    | ~ spl24_45 ),
    inference(sat_conversion,[],[f2329]) ).

cnf(s386,plain,
    ( ~ spl24_43
    | ~ spl24_45 ),
    inference(sat_conversion,[],[f2331]) ).

cnf(s387,plain,
    ( ~ spl24_89
    | ~ spl24_90 ),
    inference(sat_conversion,[],[f2333]) ).

cnf(s388,plain,
    ( ~ spl24_68
    | ~ spl24_69 ),
    inference(sat_conversion,[],[f2346]) ).

cnf(s390,plain,
    ( ~ spl24_36
    | ~ spl24_37 ),
    inference(sat_conversion,[],[f2363]) ).

cnf(s393,plain,
    ( ~ spl24_31
    | ~ spl24_33 ),
    inference(sat_conversion,[],[f2375]) ).

cnf(s395,plain,
    ( ~ spl24_7
    | ~ spl24_10 ),
    inference(sat_conversion,[],[f2392]) ).

cnf(s399,plain,
    ( ~ spl24_36
    | ~ spl24_40 ),
    inference(sat_conversion,[],[f2423]) ).

cnf(s402,plain,
    ( ~ spl24_56
    | ~ spl24_59 ),
    inference(sat_conversion,[],[f2444]) ).

cnf(s403,plain,
    ( ~ spl24_61
    | ~ spl24_62 ),
    inference(sat_conversion,[],[f2450]) ).

cnf(s405,plain,
    ( ~ spl24_56
    | ~ spl24_60 ),
    inference(sat_conversion,[],[f2464]) ).

cnf(s407,plain,
    ( ~ spl24_53
    | ~ spl24_55 ),
    inference(sat_conversion,[],[f2472]) ).

cnf(s409,plain,
    ( ~ spl24_62
    | ~ spl24_65 ),
    inference(sat_conversion,[],[f2481]) ).

cnf(s410,plain,
    ( ~ spl24_39
    | ~ spl24_40 ),
    inference(sat_conversion,[],[f2491]) ).

cnf(s411,plain,
    ( ~ spl24_33
    | ~ spl24_34 ),
    inference(sat_conversion,[],[f2496]) ).

cnf(s412,plain,
    ( ~ spl24_33
    | ~ spl24_34 ),
    inference(sat_conversion,[],[f2498]) ).

cnf(s415,plain,
    ( ~ spl24_68
    | ~ spl24_70 ),
    inference(sat_conversion,[],[f2518]) ).

cnf(s416,plain,
    ( ~ spl24_71
    | ~ spl24_74 ),
    inference(sat_conversion,[],[f2520]) ).

cnf(s417,plain,
    ( ~ spl24_69
    | ~ spl24_70 ),
    inference(sat_conversion,[],[f2528]) ).

cnf(s419,plain,
    ( ~ spl24_41
    | ~ spl24_43 ),
    inference(sat_conversion,[],[f2541]) ).

cnf(s420,plain,
    ( ~ spl24_83
    | ~ spl24_85 ),
    inference(sat_conversion,[],[f2555]) ).

cnf(s422,plain,
    ( ~ spl24_124
    | ~ spl24_125 ),
    inference(sat_conversion,[],[f2568]) ).

cnf(s424,plain,
    ( ~ spl24_122
    | ~ spl24_125 ),
    inference(sat_conversion,[],[f2578]) ).

cnf(s425,plain,
    ( ~ spl24_37
    | ~ spl24_39 ),
    inference(sat_conversion,[],[f2596]) ).

cnf(s428,plain,
    ( ~ spl24_1
    | ~ spl24_4 ),
    inference(sat_conversion,[],[f2614]) ).

cnf(s429,plain,
    ( ~ spl24_11
    | ~ spl24_13 ),
    inference(sat_conversion,[],[f2622]) ).

cnf(s431,plain,
    ( ~ spl24_4
    | ~ spl24_126 ),
    inference(sat_conversion,[],[f2626]) ).

cnf(s433,plain,
    ( ~ spl24_61
    | ~ spl24_63 ),
    inference(sat_conversion,[],[f2638]) ).

cnf(s435,plain,
    ( ~ spl24_3
    | ~ spl24_126 ),
    inference(sat_conversion,[],[f2642]) ).

cnf(s436,plain,
    ( ~ spl24_62
    | ~ spl24_63 ),
    inference(sat_conversion,[],[f2661]) ).

cnf(s441,plain,
    ( ~ spl24_36
    | ~ spl24_39 ),
    inference(sat_conversion,[],[f2690]) ).

cnf(s443,plain,
    ( ~ spl24_53
    | ~ spl24_54 ),
    inference(sat_conversion,[],[f2705]) ).

cnf(s446,plain,
    ( ~ spl24_114
    | ~ spl24_130 ),
    inference(sat_conversion,[],[f2765]) ).

cnf(s447,plain,
    ( spl24_113
    | ~ spl24_130 ),
    inference(sat_conversion,[],[f2767]) ).

cnf(s449,plain,
    ( ~ spl24_3
    | ~ spl24_4 ),
    inference(sat_conversion,[],[f2777]) ).

cnf(s452,plain,
    ( ~ spl24_71
    | ~ spl24_73 ),
    inference(sat_conversion,[],[f2801]) ).

cnf(s453,plain,
    ( ~ spl24_54
    | ~ spl24_55 ),
    inference(sat_conversion,[],[f2812]) ).

cnf(s455,plain,
    ( ~ spl24_4
    | ~ spl24_5 ),
    inference(sat_conversion,[],[f2877]) ).

cnf(s456,plain,
    ( ~ spl24_72
    | ~ spl24_74 ),
    inference(sat_conversion,[],[f2920]) ).

cnf(s459,plain,
    ( ~ spl24_91
    | ~ spl24_94 ),
    inference(sat_conversion,[],[f2959]) ).

cnf(s461,plain,
    ( ~ spl24_66
    | ~ spl24_69 ),
    inference(sat_conversion,[],[f2978]) ).

cnf(s464,plain,
    ( ~ spl24_31
    | ~ spl24_34 ),
    inference(sat_conversion,[],[f3048]) ).

cnf(s466,plain,
    ( ~ spl24_1
    | ~ spl24_5 ),
    inference(sat_conversion,[],[f3106]) ).

cnf(s468,plain,
    ( ~ spl24_106
    | ~ spl24_107 ),
    inference(sat_conversion,[],[f3143]) ).

cnf(s472,plain,
    ( ~ spl24_111
    | ~ spl24_112 ),
    inference(sat_conversion,[],[f3160]) ).

cnf(s473,plain,
    ( ~ spl24_86
    | ~ spl24_90 ),
    inference(sat_conversion,[],[f3166]) ).

cnf(s476,plain,
    ( ~ spl24_111
    | ~ spl24_114 ),
    inference(sat_conversion,[],[f3223]) ).

cnf(s477,plain,
    ( ~ spl24_111
    | ~ spl24_114 ),
    inference(sat_conversion,[],[f3225]) ).

cnf(s481,plain,
    ( ~ spl24_121
    | ~ spl24_123 ),
    inference(sat_conversion,[],[f3242]) ).

cnf(s483,plain,
    ( ~ spl24_61
    | ~ spl24_65 ),
    inference(sat_conversion,[],[f3286]) ).

cnf(s484,plain,
    ( ~ spl24_63
    | ~ spl24_65 ),
    inference(sat_conversion,[],[f3335]) ).

cnf(s485,plain,
    ( ~ spl24_107
    | ~ spl24_110 ),
    inference(sat_conversion,[],[f3337]) ).

cnf(s486,plain,
    ( ~ spl24_28
    | ~ spl24_30 ),
    inference(sat_conversion,[],[f3375]) ).

cnf(s487,plain,
    ( ~ spl24_81
    | ~ spl24_83 ),
    inference(sat_conversion,[],[f3377]) ).

cnf(s488,plain,
    ( ~ spl24_27
    | ~ spl24_30 ),
    inference(sat_conversion,[],[f3392]) ).

cnf(s490,plain,
    ~ spl24_86,
    inference(rat,[],[s473,s158]) ).

cnf(s491,plain,
    ~ spl24_89,
    inference(rat,[],[s387,s158]) ).

cnf(s492,plain,
    ~ spl24_88,
    inference(rat,[],[s379,s158]) ).

cnf(s493,plain,
    ~ spl24_87,
    inference(rat,[],[s219,s158]) ).

cnf(s494,plain,
    ~ spl24_129,
    inference(rat,[],[s191,s158]) ).

cnf(s495,plain,
    ~ spl24_128,
    inference(rat,[],[s185,s158]) ).

cnf(s496,plain,
    ~ spl24_94,
    inference(rat,[],[s459,s77]) ).

cnf(s497,plain,
    ~ spl24_92,
    inference(rat,[],[s364,s77]) ).

cnf(s498,plain,
    ~ spl24_95,
    inference(rat,[],[s344,s77]) ).

cnf(s499,plain,
    ~ spl24_93,
    inference(rat,[],[s322,s77]) ).

cnf(s500,plain,
    ~ spl24_149,
    inference(rat,[],[s142,s496]) ).

cnf(s501,plain,
    ~ spl24_147,
    inference(rat,[],[s136,s497]) ).

cnf(s502,plain,
    ~ spl24_139,
    inference(rat,[],[s111,s497]) ).

cnf(s503,plain,
    ~ spl24_154,
    inference(rat,[],[s156,s498]) ).

cnf(s504,plain,
    ~ spl24_150,
    inference(rat,[],[s145,s498]) ).

cnf(s505,plain,
    ~ spl24_148,
    inference(rat,[],[s139,s499]) ).

cnf(s506,plain,
    ~ spl24_144,
    inference(rat,[],[s126,s499]) ).

cnf(s507,plain,
    ( spl24_20
    | spl24_45
    | spl24_70
    | spl24_120 ),
    inference(rat,[],[s65,s498]) ).

cnf(s510,plain,
    ( spl24_78
    | spl24_83
    | spl24_98 ),
    inference(rat,[],[s62,s499,s492]) ).

cnf(s511,plain,
    ( spl24_18
    | spl24_43
    | spl24_68
    | spl24_118 ),
    inference(rat,[],[s61,s499]) ).

cnf(s512,plain,
    ( spl24_77
    | spl24_82
    | spl24_97 ),
    inference(rat,[],[s60,s497,s493]) ).

cnf(s513,plain,
    ( spl24_17
    | spl24_42
    | spl24_67
    | spl24_117 ),
    inference(rat,[],[s59,s497]) ).

cnf(s514,plain,
    ( spl24_14
    | spl24_39
    | spl24_64
    | spl24_114 ),
    inference(rat,[],[s53,s491]) ).

cnf(s516,plain,
    ( spl24_12
    | spl24_37
    | spl24_62
    | spl24_112 ),
    inference(rat,[],[s49,s493]) ).

cnf(s517,plain,
    ( spl24_11
    | spl24_36
    | spl24_61
    | spl24_111 ),
    inference(rat,[],[s47,s490]) ).

cnf(s518,plain,
    ( spl24_126
    | spl24_127
    | spl24_130 ),
    inference(rat,[],[s26,s494,s495]) ).

cnf(s521,plain,
    ( ~ spl24_62
    | ~ spl24_125
    | spl24_4
    | spl24_3 ),
    inference(rat,[],[s411,s84,s83,s217,s436,s422,s359,s496,s499]) ).

cnf(s522,plain,
    ( ~ spl24_125
    | spl24_4
    | spl24_3
    | spl24_2 ),
    inference(rat,[],[s171,s83,s84,s292,s325,s82,s521,s359,s422,s424,s499,s496,s497]) ).

cnf(s523,plain,
    ( ~ spl24_62
    | spl24_33
    | spl24_34
    | spl24_4
    | spl24_3 ),
    inference(rat,[],[s231,s84,s83,s217,s436,s496,s499]) ).

cnf(s524,plain,
    ( spl24_63
    | spl24_140
    | spl24_137
    | spl24_33
    | spl24_34
    | spl24_142
    | spl24_152
    | spl24_4
    | spl24_3
    | spl24_2
    | spl24_131 ),
    inference(rat,[],[s80,s130,s153,s294,s84,s99,s148,s231,s481,s83,s124,s102,s91,s117,s94,s132,s97,s522,s109,s502,s506,s501,s505,s500,s504,s503,s496,s499]) ).

cnf(s525,plain,
    ( spl24_121
    | spl24_145
    | spl24_153
    | spl24_143
    | spl24_138
    | spl24_140
    | spl24_137
    | spl24_142
    | spl24_152
    | spl24_125
    | spl24_134
    | spl24_146
    | spl24_3
    | spl24_2
    | spl24_131 ),
    inference(rat,[],[s80,s99,s148,s102,s91,s117,s94,s502,s506,s501,s505,s500,s504,s503]) ).

cnf(s526,plain,
    ( ~ spl24_71
    | spl24_54
    | spl24_52
    | spl24_64
    | spl24_62
    | spl24_57
    | spl24_59 ),
    inference(rat,[],[s380,s50,s54,s299,s416]) ).

cnf(s527,plain,
    ( spl24_54
    | spl24_52
    | spl24_51
    | spl24_64
    | spl24_61
    | spl24_62
    | spl24_57
    | spl24_56
    | spl24_59 ),
    inference(rat,[],[s456,s50,s54,s297,s461,s48,s526]) ).

cnf(s528,plain,
    ( ~ spl24_71
    | spl24_55
    | spl24_52
    | spl24_65
    | spl24_62
    | spl24_60
    | spl24_57 ),
    inference(rat,[],[s302,s50,s56,s299,s314]) ).

cnf(s529,plain,
    ( spl24_52
    | spl24_51
    | spl24_64
    | spl24_61
    | spl24_65
    | spl24_62
    | spl24_60
    | spl24_57
    | spl24_56
    | spl24_59 ),
    inference(rat,[],[s275,s50,s56,s297,s367,s48,s528,s453,s527]) ).

cnf(s530,plain,
    ( ~ spl24_71
    | ~ spl24_52
    | spl24_64
    | spl24_65
    | spl24_60
    | spl24_59 ),
    inference(rat,[],[s417,s56,s54,s314,s416,s341,s328]) ).

cnf(s531,plain,
    ( spl24_51
    | spl24_59
    | spl24_64
    | spl24_61
    | spl24_65
    | spl24_62
    | spl24_60
    | spl24_57
    | spl24_56 ),
    inference(rat,[],[s382,s56,s54,s367,s461,s48,s530,s328,s341,s529]) ).

cnf(s532,plain,
    ( ~ spl24_75
    | spl24_52
    | spl24_54
    | spl24_64
    | spl24_62
    | spl24_57
    | spl24_59 ),
    inference(rat,[],[s380,s50,s54,s275,s382]) ).

cnf(s533,plain,
    ( spl24_59
    | spl24_56
    | spl24_64
    | spl24_61
    | spl24_65
    | spl24_62
    | spl24_60
    | spl24_57 ),
    inference(rat,[],[s456,s50,s54,s303,s417,s56,s532,s279,s339,s377,s531]) ).

cnf(s534,plain,
    ( spl24_4
    | spl24_3
    | spl24_2
    | spl24_1 ),
    inference(rat,[],[s533,s171,s433,s484,s524,s523,s115,s104,s292,s325,s119,s198,s283,s301,s149,s204,s205,s285,s286,s360,s518,s181,s522,s358,s1,s88]) ).

cnf(s535,plain,
    ( ~ spl24_63
    | ~ spl24_127
    | spl24_64 ),
    inference(rat,[],[s533,s433,s436,s484,s285,s301,s283,s198,s286]) ).

cnf(s536,plain,
    ( ~ spl24_17
    | spl24_15
    | spl24_13
    | ~ spl24_6
    | spl24_5
    | spl24_3 ),
    inference(rat,[],[s332,s32,s36,s251,s287,s249,s195]) ).

cnf(s537,plain,
    ( spl24_12
    | ~ spl24_127
    | spl24_64
    | spl24_5
    | spl24_3
    | spl24_2 ),
    inference(rat,[],[s266,s36,s32,s271,s273,s30,s536,s265,s429,s514,s517,s230,s472,s516,s335,s243,s213,s202,s249,s195,s194,s162,s483,s409,s85,s359,s83,s535,s292,s205,s204,s498,s499]) ).

cnf(s538,plain,
    ( ~ spl24_127
    | spl24_64
    | spl24_5
    | spl24_3
    | spl24_2 ),
    inference(rat,[],[s476,s517,s514,s212,s227,s537,s483,s85,s359,s83,s535,s243,s335,s292,s202,s204,s205,s498,s499]) ).

cnf(s540,plain,
    ( ~ spl24_51
    | spl24_59
    | spl24_57
    | spl24_62
    | spl24_72
    | spl24_74
    | spl24_64 ),
    inference(rat,[],[s380,s50,s54,s339,s377]) ).

cnf(s541,plain,
    ( ~ spl24_66
    | spl24_59
    | spl24_57
    | spl24_62
    | spl24_72
    | spl24_74
    | spl24_64 ),
    inference(rat,[],[s328,s50,s54,s297,s461]) ).

cnf(s542,plain,
    ( ~ spl24_67
    | spl24_60
    | spl24_59
    | spl24_65
    | spl24_75
    | spl24_74
    | spl24_64 ),
    inference(rat,[],[s453,s56,s54,s303,s381]) ).

cnf(s543,plain,
    ( spl24_59
    | spl24_57
    | ~ spl24_63
    | spl24_72
    | spl24_75
    | spl24_71
    | spl24_74
    | spl24_64 ),
    inference(rat,[],[s417,s54,s56,s328,s341,s50,s542,s405,s48,s541,s540,s484,s436,s433]) ).

cnf(s544,plain,
    ( ~ spl24_51
    | spl24_60
    | spl24_57
    | ~ spl24_63
    | ~ spl24_73 ),
    inference(rat,[],[s302,s56,s50,s279,s339,s383,s262,s484,s436]) ).

cnf(s545,plain,
    ( spl24_57
    | ~ spl24_63
    | spl24_74
    | ~ spl24_73
    | spl24_64 ),
    inference(rat,[],[s340,s50,s56,s297,s367,s48,s544,s199,s402,s543,s452,s383,s262,s484,s436,s433]) ).

cnf(s546,plain,
    ( ~ spl24_6
    | ~ spl24_14
    | spl24_22
    | spl24_5
    | spl24_3
    | spl24_2 ),
    inference(rat,[],[s30,s536,s194,s274,s265,s227]) ).

cnf(s547,plain,
    ( ~ spl24_81
    | ~ spl24_99 ),
    inference(rat,[],[s330,s512,s510,s318,s487,s305,s295]) ).

cnf(s548,plain,
    ( ~ spl24_63
    | spl24_81
    | spl24_106
    | spl24_122
    | spl24_112
    | spl24_22
    | spl24_23
    | spl24_25
    | spl24_74
    | ~ spl24_73
    | spl24_114
    | spl24_64
    | spl24_5
    | spl24_3
    | spl24_2 ),
    inference(rat,[],[s266,s32,s36,s214,s229,s516,s425,s514,s546,s195,s249,s37,s281,s545,s241,s82,s436,s497]) ).

cnf(s549,plain,
    ( ~ spl24_17
    | ~ spl24_6
    | ~ spl24_130
    | spl24_5
    | spl24_3 ),
    inference(rat,[],[s247,s32,s36,s251,s287,s170,s160,s249,s195]) ).

cnf(s550,plain,
    ( ~ spl24_6
    | ~ spl24_130
    | spl24_5
    | spl24_3
    | spl24_2 ),
    inference(rat,[],[s266,s32,s36,s214,s229,s30,s549,s194,s195,s249,s170,s160,s159]) ).

cnf(s553,plain,
    ( ~ spl24_43
    | spl24_12
    | spl24_70
    | spl24_52
    | spl24_60
    | spl24_35
    | spl24_31
    | spl24_46
    | spl24_50
    | spl24_110
    | spl24_98
    | spl24_120
    | spl24_22
    | spl24_102
    | spl24_2 ),
    inference(rat,[],[s399,s38,s46,s233,s488,s29,s330,s510,s420,s45,s395,s30,s287,s507,s386,s419]) ).

cnf(s554,plain,
    ( ~ spl24_18
    | spl24_70
    | spl24_67
    | spl24_117
    | spl24_120 ),
    inference(rat,[],[s385,s513,s507,s251,s267]) ).

cnf(s555,plain,
    ( ~ spl24_69
    | spl24_52
    | spl24_67
    | spl24_60
    | spl24_65
    | spl24_35
    | spl24_31
    | spl24_46
    | spl24_50
    | spl24_110
    | spl24_75
    | spl24_98
    | spl24_117
    | spl24_118
    | spl24_120
    | spl24_22
    | spl24_102
    | spl24_103
    | spl24_114
    | spl24_64
    | spl24_3
    | spl24_2 ),
    inference(rat,[],[s330,s29,s31,s233,s235,s38,s441,s514,s227,s553,s419,s511,s554,s407,s56,s388,s417]) ).

cnf(s556,plain,
    ( ~ spl24_26
    | spl24_53
    | spl24_52
    | ~ spl24_130
    | spl24_3
    | spl24_2 ),
    inference(rat,[],[s330,s29,s31,s233,s235,s169,s167]) ).

cnf(s557,plain,
    ( ~ spl24_30
    | spl24_53
    | spl24_52
    | ~ spl24_130
    | spl24_3
    | spl24_2 ),
    inference(rat,[],[s330,s31,s29,s486,s488,s169,s167]) ).

cnf(s558,plain,
    ( ~ spl24_43
    | spl24_30
    | spl24_26
    | spl24_35
    | spl24_31
    | spl24_46
    | spl24_50 ),
    inference(rat,[],[s399,s46,s38,s386,s419]) ).

cnf(s559,plain,
    ( spl24_52
    | ~ spl24_130
    | spl24_64
    | spl24_5
    | spl24_3
    | spl24_2 ),
    inference(rat,[],[s410,s46,s514,s385,s227,s513,s30,s251,s511,s558,s395,s45,s420,s510,s315,s35,s557,s556,s415,s56,s443,s453,s54,s555,s174,s169,s348,s329,s305,s485,s263,s257,s69,s262,s295,s196,s542,s405,s402,s37,s550,s393,s409,s82,s292,s83,s548,s547,s179,s468,s70,s290,s180,s167,s218,s447,s159,s160,s170,s446,s359,s424,s181,s383,s176,s175,s497,s499]) ).

cnf(s560,plain,
    ( spl24_64
    | spl24_126
    | spl24_5
    | spl24_3
    | spl24_2 ),
    inference(rat,[],[s417,s54,s56,s328,s341,s559,s402,s405,s37,s550,s409,s82,s292,s393,s83,s548,s547,s468,s70,s383,s290,s359,s424,s218,s159,s160,s167,s170,s175,s176,s179,s180,s181,s446,s447,s518,s538,s497,s499]) ).

cnf(s561,plain,
    ( ~ spl24_127
    | spl24_63
    | spl24_65
    | spl24_5
    | spl24_3 ),
    inference(rat,[],[s359,s83,s85,s292,s204,s205,s499,s498]) ).

cnf(s562,plain,
    ( spl24_126
    | spl24_5
    | spl24_2
    | spl24_3 ),
    inference(rat,[],[s291,s83,s82,s359,s424,s181,s518,s561,s171,s217,s294,s560,s497,s499]) ).

cnf(s563,plain,
    ( spl24_3
    | spl24_2
    | spl24_1 ),
    inference(rat,[],[s562,s431,s455,s534]) ).

cnf(s564,plain,
    ( ~ spl24_127
    | spl24_64
    | spl24_5
    | spl24_4
    | spl24_132
    | spl24_136
    | spl24_131 ),
    inference(rat,[],[s80,s93,s118,s483,s129,s154,s85,s231,s422,s109,s84,s124,s115,s104,s292,s325,s119,s149,s535,s204,s205,s286,s360,s132,s97,s147,s100,s502,s506,s501,s505,s500,s504,s503,s498,s496]) ).

cnf(s565,plain,
    ( spl24_64
    | spl24_5
    | spl24_126
    | spl24_4
    | spl24_2
    | spl24_131 ),
    inference(rat,[],[s78,s93,s118,s124,s403,s436,s82,s106,s109,s120,s325,s412,s154,s84,s114,s151,s128,s359,s422,s424,s176,s181,s518,s564,s102,s91,s132,s97,s147,s100,s502,s506,s501,s505,s500,s504,s503,s497,s496]) ).

cnf(s566,plain,
    ( ~ spl24_127
    | spl24_143
    | spl24_138
    | spl24_142
    | spl24_133
    | spl24_141
    | spl24_65
    | spl24_134
    | spl24_146
    | spl24_5
    | spl24_132
    | spl24_136
    | spl24_131 ),
    inference(rat,[],[s78,s85,s115,s104,s149,s204,s205,s360,s147,s100,s153,s130,s502,s506,s501,s505,s500,s504,s503,s498]) ).

cnf(s567,plain,
    ( spl24_2
    | spl24_1 ),
    inference(rat,[],[s104,s78,s82,s114,s151,s424,s181,s518,s566,s124,s108,s121,s130,s153,s93,s118,s171,s217,s294,s300,s565,s100,s147,s97,s132,s346,s435,s449,s563,s91,s102,s88,s502,s506,s501,s505,s500,s504,s503,s497]) ).

cnf(s568,plain,
    ( ~ spl24_127
    | spl24_64
    | spl24_1 ),
    inference(rat,[],[s564,s103,s89,s241,s162,s205,s88,s269,s210,s567]) ).

cnf(s569,plain,
    ( spl24_64
    | spl24_1 ),
    inference(rat,[],[s78,s122,s106,s83,s90,s103,s325,s412,s464,s108,s121,s154,s84,s114,s151,s128,s521,s359,s422,s424,s176,s181,s518,s568,s88,s161,s132,s97,s269,s147,s100,s210,s117,s94,s208,s567,s502,s506,s501,s505,s500,s504,s503,s499,s496]) ).

cnf(s570,plain,
    spl24_1,
    inference(rat,[],[s78,s106,s90,s103,s292,s393,s83,s114,s151,s359,s424,s181,s518,s561,s124,s108,s121,s130,s153,s171,s217,s294,s569,s94,s117,s100,s147,s97,s132,s161,s208,s210,s269,s567,s88,s502,s506,s501,s505,s500,s504,s503,s499]) ).

cnf(s571,plain,
    ~ spl24_5,
    inference(rat,[],[s466,s570]) ).

cnf(s572,plain,
    ~ spl24_4,
    inference(rat,[],[s428,s570]) ).

cnf(s573,plain,
    ~ spl24_131,
    inference(rat,[],[s86,s570]) ).

cnf(s574,plain,
    ~ spl24_151,
    inference(rat,[],[s147,s571]) ).

cnf(s575,plain,
    ~ spl24_135,
    inference(rat,[],[s100,s571]) ).

cnf(s576,plain,
    ~ spl24_146,
    inference(rat,[],[s132,s572]) ).

cnf(s577,plain,
    ~ spl24_134,
    inference(rat,[],[s97,s572]) ).

cnf(s581,plain,
    ( ~ spl24_36
    | spl24_62
    | ~ spl24_13
    | spl24_64 ),
    inference(rat,[],[s230,s516,s514,s390,s441,s274,s214]) ).

cnf(s583,plain,
    ( ~ spl24_63
    | ~ spl24_13
    | spl24_64 ),
    inference(rat,[],[s425,s516,s514,s472,s477,s517,s581,s433,s436,s429,s274,s214]) ).

cnf(s584,plain,
    ( ~ spl24_32
    | ~ spl24_126
    | spl24_64 ),
    inference(rat,[],[s231,s83,s84,s292,s325,s435,s583,s353,s499,s496,s572]) ).

cnf(s585,plain,
    ( ~ spl24_122
    | ~ spl24_126
    | spl24_64 ),
    inference(rat,[],[s411,s83,s84,s261,s349,s435,s583,s353,s499,s496,s572]) ).

cnf(s586,plain,
    ( spl24_2
    | spl24_64 ),
    inference(rat,[],[s80,s109,s120,s196,s85,s130,s153,s409,s82,s114,s151,s585,s106,s584,s124,s583,s522,s94,s117,s353,s435,s565,s91,s102,s576,s573,s577,s502,s506,s501,s505,s500,s504,s574,s575,s503,s571,s498,s497,s572]) ).

cnf(s587,plain,
    ( ~ spl24_127
    | spl24_64 ),
    inference(rat,[],[s564,s103,s89,s241,s162,s205,s571,s572,s573]) ).

cnf(s588,plain,
    spl24_64,
    inference(rat,[],[s78,s122,s106,s83,s90,s103,s325,s412,s464,s108,s121,s154,s84,s114,s151,s128,s521,s359,s422,s424,s176,s181,s518,s587,s94,s117,s161,s208,s586,s573,s575,s502,s506,s576,s501,s505,s500,s504,s574,s577,s503,s499,s496,s572]) ).

cnf(s589,plain,
    ~ spl24_61,
    inference(rat,[],[s300,s588]) ).

cnf(s590,plain,
    ~ spl24_65,
    inference(rat,[],[s294,s588]) ).

cnf(s591,plain,
    ~ spl24_62,
    inference(rat,[],[s217,s588]) ).

cnf(s592,plain,
    ~ spl24_63,
    inference(rat,[],[s171,s588]) ).

cnf(s593,plain,
    ~ spl24_141,
    inference(rat,[],[s118,s589]) ).

cnf(s594,plain,
    ~ spl24_133,
    inference(rat,[],[s93,s589]) ).

cnf(s595,plain,
    ~ spl24_153,
    inference(rat,[],[s153,s590]) ).

cnf(s596,plain,
    ~ spl24_145,
    inference(rat,[],[s130,s590]) ).

cnf(s597,plain,
    ~ spl24_142,
    inference(rat,[],[s121,s591]) ).

cnf(s598,plain,
    ~ spl24_138,
    inference(rat,[],[s108,s591]) ).

cnf(s599,plain,
    ~ spl24_143,
    inference(rat,[],[s124,s592]) ).

cnf(s600,plain,
    ( ~ spl24_125
    | spl24_2 ),
    inference(rat,[],[s104,s78,s82,s114,s151,s424,s102,s91,s599,s573,s575,s596,s595,s502,s593,s597,s506,s598,s576,s501,s505,s500,s504,s574,s577,s594,s503,s591,s497]) ).

cnf(s601,plain,
    spl24_2,
    inference(rat,[],[s104,s525,s82,s114,s151,s261,s481,s83,s435,s196,s518,s85,s181,s600,s566,s91,s102,s576,s599,s596,s595,s598,s597,s577,s573,s591,s497,s592,s499,s571,s498,s590,s594,s593]) ).

cnf(s602,plain,
    ~ spl24_3,
    inference(rat,[],[s208,s601]) ).

cnf(s603,plain,
    ~ spl24_126,
    inference(rat,[],[s161,s601]) ).

cnf(s604,plain,
    ~ spl24_127,
    inference(rat,[],[s561,s592,s571,s590,s602]) ).

cnf(s605,plain,
    spl24_130,
    inference(rat,[],[s518,s604,s603]) ).

cnf(s608,plain,
    spl24_125,
    inference(rat,[],[s181,s605]) ).

cnf(s623,plain,
    ~ spl24_122,
    inference(rat,[],[s424,s608]) ).

cnf(s625,plain,
    ~ spl24_123,
    inference(rat,[],[s359,s608]) ).

cnf(s638,plain,
    ~ spl24_152,
    inference(rat,[],[s151,s623]) ).

cnf(s639,plain,
    ~ spl24_140,
    inference(rat,[],[s114,s623]) ).

cnf(s640,plain,
    spl24_33,
    inference(rat,[],[s83,s602,s499,s592,s625]) ).

cnf(s645,plain,
    ~ spl24_31,
    inference(rat,[],[s393,s640]) ).

cnf(s646,plain,
    ~ spl24_32,
    inference(rat,[],[s292,s640]) ).

cnf(s651,plain,
    ~ spl24_136,
    inference(rat,[],[s103,s645]) ).

cnf(s652,plain,
    ~ spl24_132,
    inference(rat,[],[s90,s645]) ).

cnf(s653,plain,
    ~ spl24_137,
    inference(rat,[],[s106,s646]) ).

cnf(s654,plain,
    $false,
    inference(rat,[],[s78,s503,s594,s577,s574,s504,s500,s505,s501,s576,s598,s506,s638,s597,s593,s639,s502,s595,s596,s608,s575,s573,s651,s599,s652,s653]) ).

fof(f3395,plain,
    $false,
    inference(avatar_sat_refutation,[],[s654]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ALG063+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20  % Computer : n004.cluster.edu
% 0.08/0.20  % Model    : x86_64 x86_64
% 0.08/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20  % Memory   : 8046.5625MB
% 0.08/0.20  % OS       : Linux 6.8.0-71-generic
% 0.08/0.20  % CPULimit : 300
% 0.08/0.20  % WCLimit  : 300
% 0.08/0.20  % DateTime : Mon Sep 28 19:22:37 UTC 2026
% 0.08/0.20  % CPUTime  : 
% 0.08/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23  Running first-order theorem proving
% 0.08/0.23  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.00/1.31  % (670093)Detected formulas, will run a generic FOF schedule.
% 4.00/1.31  % (670100)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1135268099:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.00/1.31  % (670103)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1831255068:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.00/1.31  % (670102)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2284692633:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.00/1.31  % (670101)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4028574145:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.00/1.31  % (670098)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=4018850372:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.00/1.31  % (670099)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3001098449:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.00/1.31  % (670101)Refutation not found, incomplete strategy
% 4.00/1.31  % (670101)------------------------------
% 4.00/1.31  % (670101)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.00/1.31  % (670101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/1.31  % (670101)CaDiCaL version: 2.1.3
% 4.00/1.31  % (670101)Termination reason: Refutation not found, incomplete strategy
% 4.00/1.31  % (670101)Time elapsed: 0.011 s
% 4.00/1.31  % (670101)Peak memory usage: 88 MB
% 4.00/1.31  % (670101)Instructions burned: 22 (million)
% 4.00/1.31  % (670104)dis-21_1_sil=8000:lcm=predicate:random_seed=3709073295:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.00/1.31  % (670104)Refutation not found, incomplete strategy
% 4.00/1.31  % (670104)------------------------------
% 4.00/1.31  % (670104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.00/1.31  % (670104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/1.31  % (670104)CaDiCaL version: 2.1.3
% 4.00/1.31  % (670104)Termination reason: Refutation not found, incomplete strategy
% 4.00/1.31  % (670104)Time elapsed: 0.011 s
% 4.00/1.31  % (670104)Peak memory usage: 89 MB
% 4.00/1.31  % (670104)Instructions burned: 21 (million)
% 4.00/1.31  % (670102)Instruction limit reached! 
% 4.00/1.31  % (670102)------------------------------
% 4.00/1.31  % (670102)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.00/1.31  % (670102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/1.31  % (670102)CaDiCaL version: 2.1.3
% 4.00/1.31  % (670102)Termination reason: Instruction limit
% 4.00/1.31  % (670102)Termination phase: Saturation
% 4.00/1.31  % (670102)Time elapsed: 0.054 s
% 4.00/1.31  % (670102)Peak memory usage: 88 MB
% 4.00/1.31  % (670102)Instructions burned: 121 (million)
% 4.00/1.31  % (670103)Instruction limit reached! 
% 4.00/1.31  % (670103)------------------------------
% 4.00/1.31  % (670103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.00/1.31  % (670103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/1.31  % (670103)CaDiCaL version: 2.1.3
% 4.00/1.31  % (670103)Termination reason: Instruction limit
% 4.00/1.31  % (670103)Termination phase: Saturation
% 4.00/1.31  % (670103)Time elapsed: 0.075 s
% 4.00/1.31  % (670103)Peak memory usage: 89 MB
% 4.00/1.31  % (670103)Instructions burned: 139 (million)
% 4.00/1.31  % (670112)lrs+10_1_sil=8000:sp=occurrence:random_seed=1992971692:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.00/1.31  [W928 19:22:38.091894663 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 4.00/1.31  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.00/1.31  [W928 19:22:38.091958354 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 4.00/1.31  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.00/1.31  [W928 19:22:38.091983344 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 4.00/1.31  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.00/1.31  [W928 19:22:38.091989420 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 4.00/1.31  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.00/1.31  [W928 19:22:38.092010448 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 4.00/1.31  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.00/1.31  [W928 19:22:38.092016606 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 4.00/1.31  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.00/1.31  % (670113)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1254695591:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.00/1.31  % (670112)First to succeed.
% 4.00/1.31  % (670112)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-670093"
% 4.00/1.31  % (670101)------------------------------
% 4.00/1.31  % (670101)------------------------------
% 4.00/1.31  % (670104)------------------------------
% 4.00/1.31  % (670104)------------------------------
% 4.00/1.31  % (670113)Also succeeded, but the first one will report.
% 4.00/1.31  [W928 19:22:38.293644047 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 4.00/1.31  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.00/1.31  [W928 19:22:38.293680387 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 4.00/1.31  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.00/1.31  [W928 19:22:38.293716261 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 4.00/1.31  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.00/1.31  [W928 19:22:38.293727621 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 4.00/1.31  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.00/1.31  [W928 19:22:38.293753204 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 4.00/1.31  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.00/1.31  [W928 19:22:38.293765968 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 4.00/1.31  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.00/1.31  [W928 19:22:38.293849745 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 4.00/1.31  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.00/1.31  [W928 19:22:38.293876442 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 4.00/1.31  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.00/1.31  [W928 19:22:38.293926002 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 4.00/1.31  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.00/1.31  [W928 19:22:38.293937702 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 4.00/1.31  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.00/1.31  [W928 19:22:38.293967363 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 4.00/1.31  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.00/1.31  [W928 19:22:38.293977899 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 4.00/1.31  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.00/1.31  % (670116)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3634982429:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 4.00/1.31  % (670117)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1845584675:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.00/1.31  % (670116)Also succeeded, but the first one will report.
% 4.00/1.31  % (670112)Refutation found. Thanks to Tanya!
% 4.00/1.31  % SZS status Theorem for theBenchmark
% 4.00/1.31  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/1.51  % (670112)------------------------------
% 0.20/1.51  % (670112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.51  % (670112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.51  % (670112)CaDiCaL version: 2.1.3
% 0.20/1.51  % (670112)Termination reason: Refutation
% 0.20/1.51  % (670112)Time elapsed: 0.070 s
% 0.20/1.51  % (670112)Peak memory usage: 90 MB
% 0.20/1.51  % (670112)Instructions burned: 130 (million)
% 0.20/1.51  % (670112)------------------------------
% 0.20/1.51  % (670112)------------------------------
% 0.20/1.51  % (670093)Success in time 0.645 s
% 0.20/1.51  % Vampire exiting
%------------------------------------------------------------------------------