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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ALG065+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 : n009.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 09:09:28 AM UTC 2026

% Result   : Theorem 4.59s 1.36s
% Output   : Refutation 5.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   44
%            Number of leaves      :  180
% Syntax   : Number of formulae    : 1631 (  94 unt; 174 def)
%            Number of atoms       : 5171 (1674 equ)
%            Maximal formula atoms :  250 (   3 avg)
%            Number of connectives : 6004 (2464   ~;3058   |; 318   &)
%                                         ( 164 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   54 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :  176 ( 174 usr; 175 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(op(e4,e2),op(e4,e2))
    & e1 = op(e4,e2)
    & e3 = op(e2,e4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).

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

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

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

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

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

fof(f12,definition,
    ( ( op(e4,op(e4,e3)) != e3
      & op(e3,op(e4,e3)) = e4 )
    | ~ sP2 ),
    introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).

fof(f13,definition,
    ( ( op(e3,op(e3,e3)) != e3
      & op(e3,op(e3,e3)) = e3 )
    | ~ sP3 ),
    introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).

fof(f14,definition,
    ( ( op(e4,op(e4,e2)) != e2
      & op(e2,op(e4,e2)) = e4 )
    | ~ sP4 ),
    introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).

fof(f15,definition,
    ( ( op(e3,op(e3,e2)) != e2
      & op(e2,op(e3,e2)) = e3 )
    | ~ sP5 ),
    introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).

fof(f16,definition,
    ( ( op(e4,op(e4,e1)) != e1
      & op(e1,op(e4,e1)) = e4 )
    | ~ sP6 ),
    introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).

fof(f17,definition,
    ( ( op(e3,op(e3,e1)) != e1
      & op(e1,op(e3,e1)) = e3 )
    | ~ sP7 ),
    introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).

fof(f18,definition,
    ( ( op(e4,op(e4,e0)) != e0
      & op(e0,op(e4,e0)) = e4 )
    | ~ sP8 ),
    introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).

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

fof(f20,plain,
    ( ( op(e0,e0) != e0
      | op(e0,e0) = e0 )
    & ( op(e0,e0) != e1
      | op(e0,e1) = e0 )
    & ( op(e0,e0) != e2
      | op(e0,e2) = e0 )
    & ( op(e0,e0) != e3
      | op(e0,e3) = e0 )
    & ( op(e0,e0) != e4
      | op(e0,e4) = e0 )
    & ( op(e1,e1) != e0
      | op(e1,e0) = e1 )
    & ( op(e1,e1) != e1
      | op(e1,e1) = e1 )
    & ( op(e1,e1) != e2
      | op(e1,e2) = e1 )
    & ( op(e1,e1) != e3
      | op(e1,e3) = e1 )
    & ( op(e1,e1) != e4
      | op(e1,e4) = e1 )
    & ( op(e2,e2) != e0
      | op(e2,e0) = e2 )
    & ( op(e2,e2) != e1
      | op(e2,e1) = e2 )
    & ( op(e2,e2) != e2
      | op(e2,e2) = e2 )
    & ( op(e2,e2) != e3
      | op(e2,e3) = e2 )
    & ( op(e2,e2) != e4
      | op(e2,e4) = e2 )
    & ( op(e3,e3) != e0
      | op(e3,e0) = e3 )
    & ( op(e3,e3) != e1
      | op(e3,e1) = e3 )
    & ( op(e3,e3) != e2
      | op(e3,e2) = e3 )
    & ( op(e3,e3) != e3
      | op(e3,e3) = e3 )
    & ( op(e3,e3) != e4
      | op(e3,e4) = e3 )
    & ( op(e4,e4) != e0
      | op(e4,e0) = e4 )
    & ( op(e4,e4) != e1
      | op(e4,e1) = e4 )
    & ( op(e4,e4) != e2
      | op(e4,e2) = e4 )
    & ( op(e4,e4) != e3
      | op(e4,e3) = e4 )
    & ( op(e4,e4) != e4
      | op(e4,e4) = e4 )
    & ( ( op(e0,op(e0,e0)) != e0
        & op(e0,op(e0,e0)) = e0 )
      | ( op(e1,op(e1,e0)) != e0
        & op(e0,op(e1,e0)) = e1 )
      | ( op(e2,op(e2,e0)) != e0
        & op(e0,op(e2,e0)) = e2 )
      | sP9
      | sP8 )
    & ( ( op(e0,op(e0,e1)) != e1
        & op(e1,op(e0,e1)) = e0 )
      | ( op(e1,op(e1,e1)) != e1
        & op(e1,op(e1,e1)) = e1 )
      | ( op(e2,op(e2,e1)) != e1
        & op(e1,op(e2,e1)) = e2 )
      | sP7
      | sP6 )
    & ( ( op(e0,op(e0,e2)) != e2
        & op(e2,op(e0,e2)) = e0 )
      | ( op(e1,op(e1,e2)) != e2
        & op(e2,op(e1,e2)) = e1 )
      | ( op(e2,op(e2,e2)) != e2
        & op(e2,op(e2,e2)) = e2 )
      | sP5
      | sP4 )
    & ( ( op(e0,op(e0,e3)) != e3
        & op(e3,op(e0,e3)) = e0 )
      | ( op(e1,op(e1,e3)) != e3
        & op(e3,op(e1,e3)) = e1 )
      | ( op(e2,op(e2,e3)) != e3
        & op(e3,op(e2,e3)) = e2 )
      | sP3
      | sP2 )
    & ( ( op(e0,op(e0,e4)) != e4
        & op(e4,op(e0,e4)) = e0 )
      | ( op(e1,op(e1,e4)) != e4
        & op(e4,op(e1,e4)) = e1 )
      | ( op(e2,op(e2,e4)) != e4
        & op(e4,op(e2,e4)) = e2 )
      | sP1
      | sP0 ) ),
    inference(definition_folding,[],[f9,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10]) ).

fof(f21,plain,
    ( ( op(e3,op(e3,e0)) != e0
      & op(e0,op(e3,e0)) = e3 )
    | ~ sP9 ),
    inference(nnf_transformation,[],[f19]) ).

fof(f22,plain,
    ( ( op(e4,op(e4,e0)) != e0
      & op(e0,op(e4,e0)) = e4 )
    | ~ sP8 ),
    inference(nnf_transformation,[],[f18]) ).

fof(f25,plain,
    ( ( op(e3,op(e3,e2)) != e2
      & op(e2,op(e3,e2)) = e3 )
    | ~ sP5 ),
    inference(nnf_transformation,[],[f15]) ).

fof(f26,plain,
    ( ( op(e4,op(e4,e2)) != e2
      & op(e2,op(e4,e2)) = e4 )
    | ~ sP4 ),
    inference(nnf_transformation,[],[f14]) ).

fof(f27,plain,
    ( ( op(e3,op(e3,e3)) != e3
      & op(e3,op(e3,e3)) = e3 )
    | ~ sP3 ),
    inference(nnf_transformation,[],[f13]) ).

fof(f28,plain,
    ( ( op(e4,op(e4,e3)) != e3
      & op(e3,op(e4,e3)) = e4 )
    | ~ sP2 ),
    inference(nnf_transformation,[],[f12]) ).

fof(f29,plain,
    ( ( op(e3,op(e3,e4)) != e4
      & op(e4,op(e3,e4)) = e3 )
    | ~ sP1 ),
    inference(nnf_transformation,[],[f11]) ).

fof(f30,plain,
    ( ( op(e4,op(e4,e4)) != e4
      & op(e4,op(e4,e4)) = e4 )
    | ~ sP0 ),
    inference(nnf_transformation,[],[f10]) ).

fof(f32,plain,
    ( e0 != op(e3,op(e3,e0))
    | ~ sP9 ),
    inference(cnf_transformation,[],[f21]) ).

fof(f34,plain,
    ( e0 != op(e4,op(e4,e0))
    | ~ sP8 ),
    inference(cnf_transformation,[],[f22]) ).

fof(f39,plain,
    ( e3 = op(e2,op(e3,e2))
    | ~ sP5 ),
    inference(cnf_transformation,[],[f25]) ).

fof(f40,plain,
    ( e2 != op(e3,op(e3,e2))
    | ~ sP5 ),
    inference(cnf_transformation,[],[f25]) ).

fof(f41,plain,
    ( e4 = op(e2,op(e4,e2))
    | ~ sP4 ),
    inference(cnf_transformation,[],[f26]) ).

fof(f42,plain,
    ( e2 != op(e4,op(e4,e2))
    | ~ sP4 ),
    inference(cnf_transformation,[],[f26]) ).

fof(f43,plain,
    ( e3 = op(e3,op(e3,e3))
    | ~ sP3 ),
    inference(cnf_transformation,[],[f27]) ).

fof(f44,plain,
    ( e3 != op(e3,op(e3,e3))
    | ~ sP3 ),
    inference(cnf_transformation,[],[f27]) ).

fof(f45,plain,
    ( e4 = op(e3,op(e4,e3))
    | ~ sP2 ),
    inference(cnf_transformation,[],[f28]) ).

fof(f46,plain,
    ( e3 != op(e4,op(e4,e3))
    | ~ sP2 ),
    inference(cnf_transformation,[],[f28]) ).

fof(f47,plain,
    ( e3 = op(e4,op(e3,e4))
    | ~ sP1 ),
    inference(cnf_transformation,[],[f29]) ).

fof(f48,plain,
    ( e4 != op(e3,op(e3,e4))
    | ~ sP1 ),
    inference(cnf_transformation,[],[f29]) ).

fof(f49,plain,
    ( e4 = op(e4,op(e4,e4))
    | ~ sP0 ),
    inference(cnf_transformation,[],[f30]) ).

fof(f50,plain,
    ( e4 != op(e4,op(e4,e4))
    | ~ sP0 ),
    inference(cnf_transformation,[],[f30]) ).

fof(f51,plain,
    ( e0 = op(e4,op(e0,e4))
    | e1 = op(e4,op(e1,e4))
    | e2 = op(e4,op(e2,e4))
    | sP1
    | sP0 ),
    inference(cnf_transformation,[],[f20]) ).

fof(f53,plain,
    ( e0 = op(e4,op(e0,e4))
    | e4 != op(e1,op(e1,e4))
    | e2 = op(e4,op(e2,e4))
    | sP1
    | sP0 ),
    inference(cnf_transformation,[],[f20]) ).

fof(f55,plain,
    ( e4 != op(e0,op(e0,e4))
    | e1 = op(e4,op(e1,e4))
    | e2 = op(e4,op(e2,e4))
    | sP1
    | sP0 ),
    inference(cnf_transformation,[],[f20]) ).

fof(f57,plain,
    ( e4 != op(e0,op(e0,e4))
    | e4 != op(e1,op(e1,e4))
    | e2 = op(e4,op(e2,e4))
    | sP1
    | sP0 ),
    inference(cnf_transformation,[],[f20]) ).

fof(f65,plain,
    ( e3 != op(e0,op(e0,e3))
    | e3 != op(e1,op(e1,e3))
    | e2 = op(e3,op(e2,e3))
    | sP3
    | sP2 ),
    inference(cnf_transformation,[],[f20]) ).

fof(f73,plain,
    ( e2 != op(e0,op(e0,e2))
    | e2 != op(e1,op(e1,e2))
    | e2 = op(e2,op(e2,e2))
    | sP5
    | sP4 ),
    inference(cnf_transformation,[],[f20]) ).

fof(f74,plain,
    ( e2 != op(e0,op(e0,e2))
    | e2 != op(e1,op(e1,e2))
    | e2 != op(e2,op(e2,e2))
    | sP5
    | sP4 ),
    inference(cnf_transformation,[],[f20]) ).

fof(f86,plain,
    ( e0 = op(e0,op(e0,e0))
    | e0 != op(e1,op(e1,e0))
    | e0 != op(e2,op(e2,e0))
    | sP9
    | sP8 ),
    inference(cnf_transformation,[],[f20]) ).

fof(f90,plain,
    ( e0 != op(e0,op(e0,e0))
    | e0 != op(e1,op(e1,e0))
    | e0 != op(e2,op(e2,e0))
    | sP9
    | sP8 ),
    inference(cnf_transformation,[],[f20]) ).

fof(f92,plain,
    ( e3 != op(e4,e4)
    | e4 = op(e4,e3) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f93,plain,
    ( e2 != op(e4,e4)
    | e4 = op(e4,e2) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f94,plain,
    ( e1 != op(e4,e4)
    | e4 = op(e4,e1) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f95,plain,
    ( e0 != op(e4,e4)
    | e4 = op(e4,e0) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f96,plain,
    ( e4 != op(e3,e3)
    | e3 = op(e3,e4) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f98,plain,
    ( e2 != op(e3,e3)
    | e3 = op(e3,e2) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f101,plain,
    ( e4 != op(e2,e2)
    | e2 = op(e2,e4) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f102,plain,
    ( e3 != op(e2,e2)
    | e2 = op(e2,e3) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f104,plain,
    ( e1 != op(e2,e2)
    | e2 = op(e2,e1) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f105,plain,
    ( e0 != op(e2,e2)
    | e2 = op(e2,e0) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f106,plain,
    ( e4 != op(e1,e1)
    | e1 = op(e1,e4) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f107,plain,
    ( e3 != op(e1,e1)
    | e1 = op(e1,e3) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f108,plain,
    ( e2 != op(e1,e1)
    | e1 = op(e1,e2) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f114,plain,
    ( op(e0,e0) != e1
    | e0 = op(e0,e1) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f116,plain,
    e3 = op(e2,e4),
    inference(cnf_transformation,[],[f6]) ).

fof(f117,plain,
    e1 = op(e4,e2),
    inference(cnf_transformation,[],[f6]) ).

fof(f119,plain,
    e3 != e4,
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    e2 != e4,
    inference(cnf_transformation,[],[f5]) ).

fof(f121,plain,
    e2 != e3,
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    e1 != e4,
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    e1 != e3,
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    e1 != e2,
    inference(cnf_transformation,[],[f5]) ).

fof(f125,plain,
    e0 != e4,
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    e0 != e3,
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    e0 != e2,
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    e0 != e1,
    inference(cnf_transformation,[],[f5]) ).

fof(f232,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(f233,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(f234,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(f235,plain,
    ( e1 = op(e0,e4)
    | e1 = op(e1,e4)
    | e1 = op(e2,e4)
    | e1 = op(e3,e4)
    | e1 = op(e4,e4) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f237,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(f238,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(f239,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(f240,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(f243,plain,
    ( e2 = op(e0,e3)
    | e2 = op(e1,e3)
    | e2 = op(e2,e3)
    | e2 = op(e3,e3)
    | e2 = op(e4,e3) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f244,plain,
    ( e2 = op(e3,e0)
    | e2 = op(e3,e1)
    | e2 = op(e3,e2)
    | e2 = op(e3,e3)
    | e2 = op(e3,e4) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f246,plain,
    ( e1 = op(e3,e0)
    | e1 = op(e3,e1)
    | e1 = op(e3,e2)
    | e1 = op(e3,e3)
    | e1 = op(e3,e4) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f247,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(f248,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(f249,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(f250,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(f251,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(f256,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(f257,plain,
    ( e0 = op(e0,e2)
    | e0 = op(e1,e2)
    | e0 = op(e2,e2)
    | e0 = op(e3,e2)
    | e0 = op(e4,e2) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f258,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(f259,plain,
    ( e4 = op(e0,e1)
    | e4 = op(e1,e1)
    | e4 = op(e2,e1)
    | e4 = op(e3,e1)
    | e4 = op(e4,e1) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f260,plain,
    ( e4 = op(e1,e0)
    | e4 = op(e1,e1)
    | e4 = op(e1,e2)
    | e4 = op(e1,e3)
    | e4 = op(e1,e4) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f261,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(f262,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(f263,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(f264,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(f267,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(f268,plain,
    ( e0 = op(e1,e0)
    | e0 = op(e1,e1)
    | e0 = op(e1,e2)
    | e0 = op(e1,e3)
    | e0 = op(e1,e4) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f269,plain,
    ( op(e0,e0) = e4
    | e4 = op(e1,e0)
    | e4 = op(e2,e0)
    | e4 = op(e3,e0)
    | e4 = op(e4,e0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f270,plain,
    ( op(e0,e0) = e4
    | e4 = op(e0,e1)
    | e4 = op(e0,e2)
    | e4 = op(e0,e3)
    | e4 = op(e0,e4) ),
    inference(cnf_transformation,[],[f3]) ).

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

fof(f279,plain,
    ( e0 = unit
    | e1 = unit
    | e2 = unit
    | e3 = unit
    | e4 = unit ),
    inference(cnf_transformation,[],[f2]) ).

fof(f280,plain,
    e4 = op(e4,unit),
    inference(cnf_transformation,[],[f2]) ).

fof(f281,plain,
    e4 = op(unit,e4),
    inference(cnf_transformation,[],[f2]) ).

fof(f282,plain,
    e3 = op(e3,unit),
    inference(cnf_transformation,[],[f2]) ).

fof(f283,plain,
    e3 = op(unit,e3),
    inference(cnf_transformation,[],[f2]) ).

fof(f284,plain,
    e2 = op(e2,unit),
    inference(cnf_transformation,[],[f2]) ).

fof(f285,plain,
    e2 = op(unit,e2),
    inference(cnf_transformation,[],[f2]) ).

fof(f286,plain,
    e1 = op(e1,unit),
    inference(cnf_transformation,[],[f2]) ).

fof(f287,plain,
    e1 = op(unit,e1),
    inference(cnf_transformation,[],[f2]) ).

fof(f288,plain,
    e0 = op(e0,unit),
    inference(cnf_transformation,[],[f2]) ).

fof(f289,plain,
    e0 = op(unit,e0),
    inference(cnf_transformation,[],[f2]) ).

fof(f290,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(f295,plain,
    ( e0 = op(e3,e4)
    | e1 = op(e3,e4)
    | e2 = op(e3,e4)
    | e3 = op(e3,e4)
    | e4 = op(e3,e4) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f305,plain,
    ( e0 = op(e1,e4)
    | e1 = op(e1,e4)
    | e2 = op(e1,e4)
    | e3 = op(e1,e4)
    | e4 = op(e1,e4) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f316,definition,
    ( spl10_1
  <=> e4 = op(e4,e4) ),
    introduced(definition,[new_symbols(definition,[spl10_1])],[avatar_definition]) ).

fof(f318,plain,
    ( e4 = op(e4,e4)
    | ~ spl10_1 ),
    inference(avatar_component_clause,[],[f316]) ).

fof(f320,definition,
    ( spl10_2
  <=> e3 = op(e4,e4) ),
    introduced(definition,[new_symbols(definition,[spl10_2])],[avatar_definition]) ).

fof(f322,plain,
    ( e3 = op(e4,e4)
    | ~ spl10_2 ),
    inference(avatar_component_clause,[],[f320]) ).

fof(f324,definition,
    ( spl10_3
  <=> e2 = op(e4,e4) ),
    introduced(definition,[new_symbols(definition,[spl10_3])],[avatar_definition]) ).

fof(f328,definition,
    ( spl10_4
  <=> e1 = op(e4,e4) ),
    introduced(definition,[new_symbols(definition,[spl10_4])],[avatar_definition]) ).

fof(f329,plain,
    ( e1 != op(e4,e4)
    | spl10_4 ),
    inference(avatar_component_clause,[],[f328]) ).

fof(f330,plain,
    ( e1 = op(e4,e4)
    | ~ spl10_4 ),
    inference(avatar_component_clause,[],[f328]) ).

fof(f332,definition,
    ( spl10_5
  <=> e0 = op(e4,e4) ),
    introduced(definition,[new_symbols(definition,[spl10_5])],[avatar_definition]) ).

fof(f334,plain,
    ( e0 = op(e4,e4)
    | ~ spl10_5 ),
    inference(avatar_component_clause,[],[f332]) ).

fof(f335,plain,
    ( spl10_1
    | spl10_2
    | spl10_3
    | spl10_4
    | spl10_5 ),
    inference(avatar_split_clause,[],[f290,f332,f328,f324,f320,f316]) ).

fof(f337,definition,
    ( spl10_6
  <=> e4 = op(e4,e3) ),
    introduced(definition,[new_symbols(definition,[spl10_6])],[avatar_definition]) ).

fof(f338,plain,
    ( e4 != op(e4,e3)
    | spl10_6 ),
    inference(avatar_component_clause,[],[f337]) ).

fof(f339,plain,
    ( e4 = op(e4,e3)
    | ~ spl10_6 ),
    inference(avatar_component_clause,[],[f337]) ).

fof(f341,definition,
    ( spl10_7
  <=> e3 = op(e4,e3) ),
    introduced(definition,[new_symbols(definition,[spl10_7])],[avatar_definition]) ).

fof(f343,plain,
    ( e3 = op(e4,e3)
    | ~ spl10_7 ),
    inference(avatar_component_clause,[],[f341]) ).

fof(f345,definition,
    ( spl10_8
  <=> e2 = op(e4,e3) ),
    introduced(definition,[new_symbols(definition,[spl10_8])],[avatar_definition]) ).

fof(f347,plain,
    ( e2 = op(e4,e3)
    | ~ spl10_8 ),
    inference(avatar_component_clause,[],[f345]) ).

fof(f349,definition,
    ( spl10_9
  <=> e1 = op(e4,e3) ),
    introduced(definition,[new_symbols(definition,[spl10_9])],[avatar_definition]) ).

fof(f351,plain,
    ( e1 = op(e4,e3)
    | ~ spl10_9 ),
    inference(avatar_component_clause,[],[f349]) ).

fof(f353,definition,
    ( spl10_10
  <=> e0 = op(e4,e3) ),
    introduced(definition,[new_symbols(definition,[spl10_10])],[avatar_definition]) ).

fof(f355,plain,
    ( e0 = op(e4,e3)
    | ~ spl10_10 ),
    inference(avatar_component_clause,[],[f353]) ).

fof(f358,definition,
    ( spl10_11
  <=> e4 = op(e4,e2) ),
    introduced(definition,[new_symbols(definition,[spl10_11])],[avatar_definition]) ).

fof(f360,plain,
    ( e4 = op(e4,e2)
    | ~ spl10_11 ),
    inference(avatar_component_clause,[],[f358]) ).

fof(f362,definition,
    ( spl10_12
  <=> e3 = op(e4,e2) ),
    introduced(definition,[new_symbols(definition,[spl10_12])],[avatar_definition]) ).

fof(f364,plain,
    ( e3 = op(e4,e2)
    | ~ spl10_12 ),
    inference(avatar_component_clause,[],[f362]) ).

fof(f366,definition,
    ( spl10_13
  <=> e2 = op(e4,e2) ),
    introduced(definition,[new_symbols(definition,[spl10_13])],[avatar_definition]) ).

fof(f368,plain,
    ( e2 = op(e4,e2)
    | ~ spl10_13 ),
    inference(avatar_component_clause,[],[f366]) ).

fof(f370,definition,
    ( spl10_14
  <=> e1 = op(e4,e2) ),
    introduced(definition,[new_symbols(definition,[spl10_14])],[avatar_definition]) ).

fof(f372,plain,
    ( e1 = op(e4,e2)
    | ~ spl10_14 ),
    inference(avatar_component_clause,[],[f370]) ).

fof(f374,definition,
    ( spl10_15
  <=> e0 = op(e4,e2) ),
    introduced(definition,[new_symbols(definition,[spl10_15])],[avatar_definition]) ).

fof(f376,plain,
    ( e0 = op(e4,e2)
    | ~ spl10_15 ),
    inference(avatar_component_clause,[],[f374]) ).

fof(f379,definition,
    ( spl10_16
  <=> e4 = op(e4,e1) ),
    introduced(definition,[new_symbols(definition,[spl10_16])],[avatar_definition]) ).

fof(f380,plain,
    ( e4 != op(e4,e1)
    | spl10_16 ),
    inference(avatar_component_clause,[],[f379]) ).

fof(f381,plain,
    ( e4 = op(e4,e1)
    | ~ spl10_16 ),
    inference(avatar_component_clause,[],[f379]) ).

fof(f383,definition,
    ( spl10_17
  <=> e3 = op(e4,e1) ),
    introduced(definition,[new_symbols(definition,[spl10_17])],[avatar_definition]) ).

fof(f385,plain,
    ( e3 = op(e4,e1)
    | ~ spl10_17 ),
    inference(avatar_component_clause,[],[f383]) ).

fof(f387,definition,
    ( spl10_18
  <=> e2 = op(e4,e1) ),
    introduced(definition,[new_symbols(definition,[spl10_18])],[avatar_definition]) ).

fof(f389,plain,
    ( e2 = op(e4,e1)
    | ~ spl10_18 ),
    inference(avatar_component_clause,[],[f387]) ).

fof(f391,definition,
    ( spl10_19
  <=> e1 = op(e4,e1) ),
    introduced(definition,[new_symbols(definition,[spl10_19])],[avatar_definition]) ).

fof(f393,plain,
    ( e1 = op(e4,e1)
    | ~ spl10_19 ),
    inference(avatar_component_clause,[],[f391]) ).

fof(f395,definition,
    ( spl10_20
  <=> e0 = op(e4,e1) ),
    introduced(definition,[new_symbols(definition,[spl10_20])],[avatar_definition]) ).

fof(f397,plain,
    ( e0 = op(e4,e1)
    | ~ spl10_20 ),
    inference(avatar_component_clause,[],[f395]) ).

fof(f400,definition,
    ( spl10_21
  <=> e4 = op(e4,e0) ),
    introduced(definition,[new_symbols(definition,[spl10_21])],[avatar_definition]) ).

fof(f402,plain,
    ( e4 = op(e4,e0)
    | ~ spl10_21 ),
    inference(avatar_component_clause,[],[f400]) ).

fof(f404,definition,
    ( spl10_22
  <=> e3 = op(e4,e0) ),
    introduced(definition,[new_symbols(definition,[spl10_22])],[avatar_definition]) ).

fof(f406,plain,
    ( e3 = op(e4,e0)
    | ~ spl10_22 ),
    inference(avatar_component_clause,[],[f404]) ).

fof(f408,definition,
    ( spl10_23
  <=> e2 = op(e4,e0) ),
    introduced(definition,[new_symbols(definition,[spl10_23])],[avatar_definition]) ).

fof(f410,plain,
    ( e2 = op(e4,e0)
    | ~ spl10_23 ),
    inference(avatar_component_clause,[],[f408]) ).

fof(f412,definition,
    ( spl10_24
  <=> e1 = op(e4,e0) ),
    introduced(definition,[new_symbols(definition,[spl10_24])],[avatar_definition]) ).

fof(f414,plain,
    ( e1 = op(e4,e0)
    | ~ spl10_24 ),
    inference(avatar_component_clause,[],[f412]) ).

fof(f416,definition,
    ( spl10_25
  <=> e0 = op(e4,e0) ),
    introduced(definition,[new_symbols(definition,[spl10_25])],[avatar_definition]) ).

fof(f417,plain,
    ( e0 != op(e4,e0)
    | spl10_25 ),
    inference(avatar_component_clause,[],[f416]) ).

fof(f418,plain,
    ( e0 = op(e4,e0)
    | ~ spl10_25 ),
    inference(avatar_component_clause,[],[f416]) ).

fof(f421,definition,
    ( spl10_26
  <=> e4 = op(e3,e4) ),
    introduced(definition,[new_symbols(definition,[spl10_26])],[avatar_definition]) ).

fof(f423,plain,
    ( e4 = op(e3,e4)
    | ~ spl10_26 ),
    inference(avatar_component_clause,[],[f421]) ).

fof(f425,definition,
    ( spl10_27
  <=> e3 = op(e3,e4) ),
    introduced(definition,[new_symbols(definition,[spl10_27])],[avatar_definition]) ).

fof(f427,plain,
    ( e3 = op(e3,e4)
    | ~ spl10_27 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f429,definition,
    ( spl10_28
  <=> e2 = op(e3,e4) ),
    introduced(definition,[new_symbols(definition,[spl10_28])],[avatar_definition]) ).

fof(f430,plain,
    ( e2 != op(e3,e4)
    | spl10_28 ),
    inference(avatar_component_clause,[],[f429]) ).

fof(f431,plain,
    ( e2 = op(e3,e4)
    | ~ spl10_28 ),
    inference(avatar_component_clause,[],[f429]) ).

fof(f433,definition,
    ( spl10_29
  <=> e1 = op(e3,e4) ),
    introduced(definition,[new_symbols(definition,[spl10_29])],[avatar_definition]) ).

fof(f435,plain,
    ( e1 = op(e3,e4)
    | ~ spl10_29 ),
    inference(avatar_component_clause,[],[f433]) ).

fof(f437,definition,
    ( spl10_30
  <=> e0 = op(e3,e4) ),
    introduced(definition,[new_symbols(definition,[spl10_30])],[avatar_definition]) ).

fof(f439,plain,
    ( e0 = op(e3,e4)
    | ~ spl10_30 ),
    inference(avatar_component_clause,[],[f437]) ).

fof(f440,plain,
    ( spl10_26
    | spl10_27
    | spl10_28
    | spl10_29
    | spl10_30 ),
    inference(avatar_split_clause,[],[f295,f437,f433,f429,f425,f421]) ).

fof(f442,definition,
    ( spl10_31
  <=> e4 = op(e3,e3) ),
    introduced(definition,[new_symbols(definition,[spl10_31])],[avatar_definition]) ).

fof(f450,definition,
    ( spl10_33
  <=> e2 = op(e3,e3) ),
    introduced(definition,[new_symbols(definition,[spl10_33])],[avatar_definition]) ).

fof(f454,definition,
    ( spl10_34
  <=> e1 = op(e3,e3) ),
    introduced(definition,[new_symbols(definition,[spl10_34])],[avatar_definition]) ).

fof(f456,plain,
    ( e1 = op(e3,e3)
    | ~ spl10_34 ),
    inference(avatar_component_clause,[],[f454]) ).

fof(f458,definition,
    ( spl10_35
  <=> e0 = op(e3,e3) ),
    introduced(definition,[new_symbols(definition,[spl10_35])],[avatar_definition]) ).

fof(f460,plain,
    ( e0 = op(e3,e3)
    | ~ spl10_35 ),
    inference(avatar_component_clause,[],[f458]) ).

fof(f463,definition,
    ( spl10_36
  <=> e4 = op(e3,e2) ),
    introduced(definition,[new_symbols(definition,[spl10_36])],[avatar_definition]) ).

fof(f464,plain,
    ( e4 != op(e3,e2)
    | spl10_36 ),
    inference(avatar_component_clause,[],[f463]) ).

fof(f465,plain,
    ( e4 = op(e3,e2)
    | ~ spl10_36 ),
    inference(avatar_component_clause,[],[f463]) ).

fof(f467,definition,
    ( spl10_37
  <=> e3 = op(e3,e2) ),
    introduced(definition,[new_symbols(definition,[spl10_37])],[avatar_definition]) ).

fof(f469,plain,
    ( e3 = op(e3,e2)
    | ~ spl10_37 ),
    inference(avatar_component_clause,[],[f467]) ).

fof(f471,definition,
    ( spl10_38
  <=> e2 = op(e3,e2) ),
    introduced(definition,[new_symbols(definition,[spl10_38])],[avatar_definition]) ).

fof(f473,plain,
    ( e2 = op(e3,e2)
    | ~ spl10_38 ),
    inference(avatar_component_clause,[],[f471]) ).

fof(f475,definition,
    ( spl10_39
  <=> e1 = op(e3,e2) ),
    introduced(definition,[new_symbols(definition,[spl10_39])],[avatar_definition]) ).

fof(f477,plain,
    ( e1 = op(e3,e2)
    | ~ spl10_39 ),
    inference(avatar_component_clause,[],[f475]) ).

fof(f479,definition,
    ( spl10_40
  <=> e0 = op(e3,e2) ),
    introduced(definition,[new_symbols(definition,[spl10_40])],[avatar_definition]) ).

fof(f481,plain,
    ( e0 = op(e3,e2)
    | ~ spl10_40 ),
    inference(avatar_component_clause,[],[f479]) ).

fof(f484,definition,
    ( spl10_41
  <=> e4 = op(e3,e1) ),
    introduced(definition,[new_symbols(definition,[spl10_41])],[avatar_definition]) ).

fof(f486,plain,
    ( e4 = op(e3,e1)
    | ~ spl10_41 ),
    inference(avatar_component_clause,[],[f484]) ).

fof(f488,definition,
    ( spl10_42
  <=> e3 = op(e3,e1) ),
    introduced(definition,[new_symbols(definition,[spl10_42])],[avatar_definition]) ).

fof(f490,plain,
    ( e3 = op(e3,e1)
    | ~ spl10_42 ),
    inference(avatar_component_clause,[],[f488]) ).

fof(f492,definition,
    ( spl10_43
  <=> e2 = op(e3,e1) ),
    introduced(definition,[new_symbols(definition,[spl10_43])],[avatar_definition]) ).

fof(f494,plain,
    ( e2 = op(e3,e1)
    | ~ spl10_43 ),
    inference(avatar_component_clause,[],[f492]) ).

fof(f496,definition,
    ( spl10_44
  <=> e1 = op(e3,e1) ),
    introduced(definition,[new_symbols(definition,[spl10_44])],[avatar_definition]) ).

fof(f498,plain,
    ( e1 = op(e3,e1)
    | ~ spl10_44 ),
    inference(avatar_component_clause,[],[f496]) ).

fof(f500,definition,
    ( spl10_45
  <=> e0 = op(e3,e1) ),
    introduced(definition,[new_symbols(definition,[spl10_45])],[avatar_definition]) ).

fof(f502,plain,
    ( e0 = op(e3,e1)
    | ~ spl10_45 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f505,definition,
    ( spl10_46
  <=> e4 = op(e3,e0) ),
    introduced(definition,[new_symbols(definition,[spl10_46])],[avatar_definition]) ).

fof(f507,plain,
    ( e4 = op(e3,e0)
    | ~ spl10_46 ),
    inference(avatar_component_clause,[],[f505]) ).

fof(f509,definition,
    ( spl10_47
  <=> e3 = op(e3,e0) ),
    introduced(definition,[new_symbols(definition,[spl10_47])],[avatar_definition]) ).

fof(f510,plain,
    ( e3 != op(e3,e0)
    | spl10_47 ),
    inference(avatar_component_clause,[],[f509]) ).

fof(f511,plain,
    ( e3 = op(e3,e0)
    | ~ spl10_47 ),
    inference(avatar_component_clause,[],[f509]) ).

fof(f513,definition,
    ( spl10_48
  <=> e2 = op(e3,e0) ),
    introduced(definition,[new_symbols(definition,[spl10_48])],[avatar_definition]) ).

fof(f515,plain,
    ( e2 = op(e3,e0)
    | ~ spl10_48 ),
    inference(avatar_component_clause,[],[f513]) ).

fof(f517,definition,
    ( spl10_49
  <=> e1 = op(e3,e0) ),
    introduced(definition,[new_symbols(definition,[spl10_49])],[avatar_definition]) ).

fof(f518,plain,
    ( e1 != op(e3,e0)
    | spl10_49 ),
    inference(avatar_component_clause,[],[f517]) ).

fof(f519,plain,
    ( e1 = op(e3,e0)
    | ~ spl10_49 ),
    inference(avatar_component_clause,[],[f517]) ).

fof(f521,definition,
    ( spl10_50
  <=> e0 = op(e3,e0) ),
    introduced(definition,[new_symbols(definition,[spl10_50])],[avatar_definition]) ).

fof(f523,plain,
    ( e0 = op(e3,e0)
    | ~ spl10_50 ),
    inference(avatar_component_clause,[],[f521]) ).

fof(f526,definition,
    ( spl10_51
  <=> e4 = op(e2,e4) ),
    introduced(definition,[new_symbols(definition,[spl10_51])],[avatar_definition]) ).

fof(f528,plain,
    ( e4 = op(e2,e4)
    | ~ spl10_51 ),
    inference(avatar_component_clause,[],[f526]) ).

fof(f530,definition,
    ( spl10_52
  <=> e3 = op(e2,e4) ),
    introduced(definition,[new_symbols(definition,[spl10_52])],[avatar_definition]) ).

fof(f532,plain,
    ( e3 = op(e2,e4)
    | ~ spl10_52 ),
    inference(avatar_component_clause,[],[f530]) ).

fof(f534,definition,
    ( spl10_53
  <=> e2 = op(e2,e4) ),
    introduced(definition,[new_symbols(definition,[spl10_53])],[avatar_definition]) ).

fof(f536,plain,
    ( e2 = op(e2,e4)
    | ~ spl10_53 ),
    inference(avatar_component_clause,[],[f534]) ).

fof(f538,definition,
    ( spl10_54
  <=> e1 = op(e2,e4) ),
    introduced(definition,[new_symbols(definition,[spl10_54])],[avatar_definition]) ).

fof(f540,plain,
    ( e1 = op(e2,e4)
    | ~ spl10_54 ),
    inference(avatar_component_clause,[],[f538]) ).

fof(f542,definition,
    ( spl10_55
  <=> e0 = op(e2,e4) ),
    introduced(definition,[new_symbols(definition,[spl10_55])],[avatar_definition]) ).

fof(f544,plain,
    ( e0 = op(e2,e4)
    | ~ spl10_55 ),
    inference(avatar_component_clause,[],[f542]) ).

fof(f547,definition,
    ( spl10_56
  <=> e4 = op(e2,e3) ),
    introduced(definition,[new_symbols(definition,[spl10_56])],[avatar_definition]) ).

fof(f549,plain,
    ( e4 = op(e2,e3)
    | ~ spl10_56 ),
    inference(avatar_component_clause,[],[f547]) ).

fof(f555,definition,
    ( spl10_58
  <=> e2 = op(e2,e3) ),
    introduced(definition,[new_symbols(definition,[spl10_58])],[avatar_definition]) ).

fof(f557,plain,
    ( e2 = op(e2,e3)
    | ~ spl10_58 ),
    inference(avatar_component_clause,[],[f555]) ).

fof(f559,definition,
    ( spl10_59
  <=> e1 = op(e2,e3) ),
    introduced(definition,[new_symbols(definition,[spl10_59])],[avatar_definition]) ).

fof(f561,plain,
    ( e1 = op(e2,e3)
    | ~ spl10_59 ),
    inference(avatar_component_clause,[],[f559]) ).

fof(f563,definition,
    ( spl10_60
  <=> e0 = op(e2,e3) ),
    introduced(definition,[new_symbols(definition,[spl10_60])],[avatar_definition]) ).

fof(f565,plain,
    ( e0 = op(e2,e3)
    | ~ spl10_60 ),
    inference(avatar_component_clause,[],[f563]) ).

fof(f568,definition,
    ( spl10_61
  <=> e4 = op(e2,e2) ),
    introduced(definition,[new_symbols(definition,[spl10_61])],[avatar_definition]) ).

fof(f572,definition,
    ( spl10_62
  <=> e3 = op(e2,e2) ),
    introduced(definition,[new_symbols(definition,[spl10_62])],[avatar_definition]) ).

fof(f574,plain,
    ( e3 = op(e2,e2)
    | ~ spl10_62 ),
    inference(avatar_component_clause,[],[f572]) ).

fof(f580,definition,
    ( spl10_64
  <=> e1 = op(e2,e2) ),
    introduced(definition,[new_symbols(definition,[spl10_64])],[avatar_definition]) ).

fof(f582,plain,
    ( e1 = op(e2,e2)
    | ~ spl10_64 ),
    inference(avatar_component_clause,[],[f580]) ).

fof(f584,definition,
    ( spl10_65
  <=> e0 = op(e2,e2) ),
    introduced(definition,[new_symbols(definition,[spl10_65])],[avatar_definition]) ).

fof(f586,plain,
    ( e0 = op(e2,e2)
    | ~ spl10_65 ),
    inference(avatar_component_clause,[],[f584]) ).

fof(f589,definition,
    ( spl10_66
  <=> e4 = op(e2,e1) ),
    introduced(definition,[new_symbols(definition,[spl10_66])],[avatar_definition]) ).

fof(f590,plain,
    ( e4 != op(e2,e1)
    | spl10_66 ),
    inference(avatar_component_clause,[],[f589]) ).

fof(f591,plain,
    ( e4 = op(e2,e1)
    | ~ spl10_66 ),
    inference(avatar_component_clause,[],[f589]) ).

fof(f593,definition,
    ( spl10_67
  <=> e3 = op(e2,e1) ),
    introduced(definition,[new_symbols(definition,[spl10_67])],[avatar_definition]) ).

fof(f594,plain,
    ( e3 != op(e2,e1)
    | spl10_67 ),
    inference(avatar_component_clause,[],[f593]) ).

fof(f595,plain,
    ( e3 = op(e2,e1)
    | ~ spl10_67 ),
    inference(avatar_component_clause,[],[f593]) ).

fof(f597,definition,
    ( spl10_68
  <=> e2 = op(e2,e1) ),
    introduced(definition,[new_symbols(definition,[spl10_68])],[avatar_definition]) ).

fof(f599,plain,
    ( e2 = op(e2,e1)
    | ~ spl10_68 ),
    inference(avatar_component_clause,[],[f597]) ).

fof(f601,definition,
    ( spl10_69
  <=> e1 = op(e2,e1) ),
    introduced(definition,[new_symbols(definition,[spl10_69])],[avatar_definition]) ).

fof(f602,plain,
    ( e1 != op(e2,e1)
    | spl10_69 ),
    inference(avatar_component_clause,[],[f601]) ).

fof(f603,plain,
    ( e1 = op(e2,e1)
    | ~ spl10_69 ),
    inference(avatar_component_clause,[],[f601]) ).

fof(f605,definition,
    ( spl10_70
  <=> e0 = op(e2,e1) ),
    introduced(definition,[new_symbols(definition,[spl10_70])],[avatar_definition]) ).

fof(f607,plain,
    ( e0 = op(e2,e1)
    | ~ spl10_70 ),
    inference(avatar_component_clause,[],[f605]) ).

fof(f610,definition,
    ( spl10_71
  <=> e4 = op(e2,e0) ),
    introduced(definition,[new_symbols(definition,[spl10_71])],[avatar_definition]) ).

fof(f612,plain,
    ( e4 = op(e2,e0)
    | ~ spl10_71 ),
    inference(avatar_component_clause,[],[f610]) ).

fof(f618,definition,
    ( spl10_73
  <=> e2 = op(e2,e0) ),
    introduced(definition,[new_symbols(definition,[spl10_73])],[avatar_definition]) ).

fof(f620,plain,
    ( e2 = op(e2,e0)
    | ~ spl10_73 ),
    inference(avatar_component_clause,[],[f618]) ).

fof(f622,definition,
    ( spl10_74
  <=> e1 = op(e2,e0) ),
    introduced(definition,[new_symbols(definition,[spl10_74])],[avatar_definition]) ).

fof(f624,plain,
    ( e1 = op(e2,e0)
    | ~ spl10_74 ),
    inference(avatar_component_clause,[],[f622]) ).

fof(f626,definition,
    ( spl10_75
  <=> e0 = op(e2,e0) ),
    introduced(definition,[new_symbols(definition,[spl10_75])],[avatar_definition]) ).

fof(f628,plain,
    ( e0 = op(e2,e0)
    | ~ spl10_75 ),
    inference(avatar_component_clause,[],[f626]) ).

fof(f631,definition,
    ( spl10_76
  <=> e4 = op(e1,e4) ),
    introduced(definition,[new_symbols(definition,[spl10_76])],[avatar_definition]) ).

fof(f633,plain,
    ( e4 = op(e1,e4)
    | ~ spl10_76 ),
    inference(avatar_component_clause,[],[f631]) ).

fof(f635,definition,
    ( spl10_77
  <=> e3 = op(e1,e4) ),
    introduced(definition,[new_symbols(definition,[spl10_77])],[avatar_definition]) ).

fof(f637,plain,
    ( e3 = op(e1,e4)
    | ~ spl10_77 ),
    inference(avatar_component_clause,[],[f635]) ).

fof(f639,definition,
    ( spl10_78
  <=> e2 = op(e1,e4) ),
    introduced(definition,[new_symbols(definition,[spl10_78])],[avatar_definition]) ).

fof(f640,plain,
    ( e2 != op(e1,e4)
    | spl10_78 ),
    inference(avatar_component_clause,[],[f639]) ).

fof(f641,plain,
    ( e2 = op(e1,e4)
    | ~ spl10_78 ),
    inference(avatar_component_clause,[],[f639]) ).

fof(f643,definition,
    ( spl10_79
  <=> e1 = op(e1,e4) ),
    introduced(definition,[new_symbols(definition,[spl10_79])],[avatar_definition]) ).

fof(f645,plain,
    ( e1 = op(e1,e4)
    | ~ spl10_79 ),
    inference(avatar_component_clause,[],[f643]) ).

fof(f647,definition,
    ( spl10_80
  <=> e0 = op(e1,e4) ),
    introduced(definition,[new_symbols(definition,[spl10_80])],[avatar_definition]) ).

fof(f649,plain,
    ( e0 = op(e1,e4)
    | ~ spl10_80 ),
    inference(avatar_component_clause,[],[f647]) ).

fof(f650,plain,
    ( spl10_76
    | spl10_77
    | spl10_78
    | spl10_79
    | spl10_80 ),
    inference(avatar_split_clause,[],[f305,f647,f643,f639,f635,f631]) ).

fof(f652,definition,
    ( spl10_81
  <=> e4 = op(e1,e3) ),
    introduced(definition,[new_symbols(definition,[spl10_81])],[avatar_definition]) ).

fof(f653,plain,
    ( e4 != op(e1,e3)
    | spl10_81 ),
    inference(avatar_component_clause,[],[f652]) ).

fof(f654,plain,
    ( e4 = op(e1,e3)
    | ~ spl10_81 ),
    inference(avatar_component_clause,[],[f652]) ).

fof(f656,definition,
    ( spl10_82
  <=> e3 = op(e1,e3) ),
    introduced(definition,[new_symbols(definition,[spl10_82])],[avatar_definition]) ).

fof(f658,plain,
    ( e3 = op(e1,e3)
    | ~ spl10_82 ),
    inference(avatar_component_clause,[],[f656]) ).

fof(f660,definition,
    ( spl10_83
  <=> e2 = op(e1,e3) ),
    introduced(definition,[new_symbols(definition,[spl10_83])],[avatar_definition]) ).

fof(f662,plain,
    ( e2 = op(e1,e3)
    | ~ spl10_83 ),
    inference(avatar_component_clause,[],[f660]) ).

fof(f664,definition,
    ( spl10_84
  <=> e1 = op(e1,e3) ),
    introduced(definition,[new_symbols(definition,[spl10_84])],[avatar_definition]) ).

fof(f666,plain,
    ( e1 = op(e1,e3)
    | ~ spl10_84 ),
    inference(avatar_component_clause,[],[f664]) ).

fof(f668,definition,
    ( spl10_85
  <=> e0 = op(e1,e3) ),
    introduced(definition,[new_symbols(definition,[spl10_85])],[avatar_definition]) ).

fof(f670,plain,
    ( e0 = op(e1,e3)
    | ~ spl10_85 ),
    inference(avatar_component_clause,[],[f668]) ).

fof(f673,definition,
    ( spl10_86
  <=> e4 = op(e1,e2) ),
    introduced(definition,[new_symbols(definition,[spl10_86])],[avatar_definition]) ).

fof(f675,plain,
    ( e4 = op(e1,e2)
    | ~ spl10_86 ),
    inference(avatar_component_clause,[],[f673]) ).

fof(f677,definition,
    ( spl10_87
  <=> e3 = op(e1,e2) ),
    introduced(definition,[new_symbols(definition,[spl10_87])],[avatar_definition]) ).

fof(f679,plain,
    ( e3 = op(e1,e2)
    | ~ spl10_87 ),
    inference(avatar_component_clause,[],[f677]) ).

fof(f681,definition,
    ( spl10_88
  <=> e2 = op(e1,e2) ),
    introduced(definition,[new_symbols(definition,[spl10_88])],[avatar_definition]) ).

fof(f683,plain,
    ( e2 = op(e1,e2)
    | ~ spl10_88 ),
    inference(avatar_component_clause,[],[f681]) ).

fof(f685,definition,
    ( spl10_89
  <=> e1 = op(e1,e2) ),
    introduced(definition,[new_symbols(definition,[spl10_89])],[avatar_definition]) ).

fof(f687,plain,
    ( e1 = op(e1,e2)
    | ~ spl10_89 ),
    inference(avatar_component_clause,[],[f685]) ).

fof(f689,definition,
    ( spl10_90
  <=> e0 = op(e1,e2) ),
    introduced(definition,[new_symbols(definition,[spl10_90])],[avatar_definition]) ).

fof(f691,plain,
    ( e0 = op(e1,e2)
    | ~ spl10_90 ),
    inference(avatar_component_clause,[],[f689]) ).

fof(f694,definition,
    ( spl10_91
  <=> e4 = op(e1,e1) ),
    introduced(definition,[new_symbols(definition,[spl10_91])],[avatar_definition]) ).

fof(f696,plain,
    ( e4 = op(e1,e1)
    | ~ spl10_91 ),
    inference(avatar_component_clause,[],[f694]) ).

fof(f698,definition,
    ( spl10_92
  <=> e3 = op(e1,e1) ),
    introduced(definition,[new_symbols(definition,[spl10_92])],[avatar_definition]) ).

fof(f700,plain,
    ( e3 = op(e1,e1)
    | ~ spl10_92 ),
    inference(avatar_component_clause,[],[f698]) ).

fof(f702,definition,
    ( spl10_93
  <=> e2 = op(e1,e1) ),
    introduced(definition,[new_symbols(definition,[spl10_93])],[avatar_definition]) ).

fof(f704,plain,
    ( e2 = op(e1,e1)
    | ~ spl10_93 ),
    inference(avatar_component_clause,[],[f702]) ).

fof(f710,definition,
    ( spl10_95
  <=> e0 = op(e1,e1) ),
    introduced(definition,[new_symbols(definition,[spl10_95])],[avatar_definition]) ).

fof(f712,plain,
    ( e0 = op(e1,e1)
    | ~ spl10_95 ),
    inference(avatar_component_clause,[],[f710]) ).

fof(f715,definition,
    ( spl10_96
  <=> e4 = op(e1,e0) ),
    introduced(definition,[new_symbols(definition,[spl10_96])],[avatar_definition]) ).

fof(f717,plain,
    ( e4 = op(e1,e0)
    | ~ spl10_96 ),
    inference(avatar_component_clause,[],[f715]) ).

fof(f719,definition,
    ( spl10_97
  <=> e3 = op(e1,e0) ),
    introduced(definition,[new_symbols(definition,[spl10_97])],[avatar_definition]) ).

fof(f720,plain,
    ( e3 != op(e1,e0)
    | spl10_97 ),
    inference(avatar_component_clause,[],[f719]) ).

fof(f721,plain,
    ( e3 = op(e1,e0)
    | ~ spl10_97 ),
    inference(avatar_component_clause,[],[f719]) ).

fof(f723,definition,
    ( spl10_98
  <=> e2 = op(e1,e0) ),
    introduced(definition,[new_symbols(definition,[spl10_98])],[avatar_definition]) ).

fof(f725,plain,
    ( e2 = op(e1,e0)
    | ~ spl10_98 ),
    inference(avatar_component_clause,[],[f723]) ).

fof(f727,definition,
    ( spl10_99
  <=> e1 = op(e1,e0) ),
    introduced(definition,[new_symbols(definition,[spl10_99])],[avatar_definition]) ).

fof(f728,plain,
    ( e1 != op(e1,e0)
    | spl10_99 ),
    inference(avatar_component_clause,[],[f727]) ).

fof(f729,plain,
    ( e1 = op(e1,e0)
    | ~ spl10_99 ),
    inference(avatar_component_clause,[],[f727]) ).

fof(f731,definition,
    ( spl10_100
  <=> e0 = op(e1,e0) ),
    introduced(definition,[new_symbols(definition,[spl10_100])],[avatar_definition]) ).

fof(f733,plain,
    ( e0 = op(e1,e0)
    | ~ spl10_100 ),
    inference(avatar_component_clause,[],[f731]) ).

fof(f736,definition,
    ( spl10_101
  <=> e4 = op(e0,e4) ),
    introduced(definition,[new_symbols(definition,[spl10_101])],[avatar_definition]) ).

fof(f737,plain,
    ( e4 != op(e0,e4)
    | spl10_101 ),
    inference(avatar_component_clause,[],[f736]) ).

fof(f738,plain,
    ( e4 = op(e0,e4)
    | ~ spl10_101 ),
    inference(avatar_component_clause,[],[f736]) ).

fof(f744,definition,
    ( spl10_103
  <=> e2 = op(e0,e4) ),
    introduced(definition,[new_symbols(definition,[spl10_103])],[avatar_definition]) ).

fof(f745,plain,
    ( e2 != op(e0,e4)
    | spl10_103 ),
    inference(avatar_component_clause,[],[f744]) ).

fof(f746,plain,
    ( e2 = op(e0,e4)
    | ~ spl10_103 ),
    inference(avatar_component_clause,[],[f744]) ).

fof(f748,definition,
    ( spl10_104
  <=> e1 = op(e0,e4) ),
    introduced(definition,[new_symbols(definition,[spl10_104])],[avatar_definition]) ).

fof(f750,plain,
    ( e1 = op(e0,e4)
    | ~ spl10_104 ),
    inference(avatar_component_clause,[],[f748]) ).

fof(f752,definition,
    ( spl10_105
  <=> e0 = op(e0,e4) ),
    introduced(definition,[new_symbols(definition,[spl10_105])],[avatar_definition]) ).

fof(f754,plain,
    ( e0 = op(e0,e4)
    | ~ spl10_105 ),
    inference(avatar_component_clause,[],[f752]) ).

fof(f757,definition,
    ( spl10_106
  <=> e4 = op(e0,e3) ),
    introduced(definition,[new_symbols(definition,[spl10_106])],[avatar_definition]) ).

fof(f759,plain,
    ( e4 = op(e0,e3)
    | ~ spl10_106 ),
    inference(avatar_component_clause,[],[f757]) ).

fof(f761,definition,
    ( spl10_107
  <=> e3 = op(e0,e3) ),
    introduced(definition,[new_symbols(definition,[spl10_107])],[avatar_definition]) ).

fof(f762,plain,
    ( e3 != op(e0,e3)
    | spl10_107 ),
    inference(avatar_component_clause,[],[f761]) ).

fof(f763,plain,
    ( e3 = op(e0,e3)
    | ~ spl10_107 ),
    inference(avatar_component_clause,[],[f761]) ).

fof(f765,definition,
    ( spl10_108
  <=> e2 = op(e0,e3) ),
    introduced(definition,[new_symbols(definition,[spl10_108])],[avatar_definition]) ).

fof(f767,plain,
    ( e2 = op(e0,e3)
    | ~ spl10_108 ),
    inference(avatar_component_clause,[],[f765]) ).

fof(f773,definition,
    ( spl10_110
  <=> e0 = op(e0,e3) ),
    introduced(definition,[new_symbols(definition,[spl10_110])],[avatar_definition]) ).

fof(f775,plain,
    ( e0 = op(e0,e3)
    | ~ spl10_110 ),
    inference(avatar_component_clause,[],[f773]) ).

fof(f778,definition,
    ( spl10_111
  <=> e4 = op(e0,e2) ),
    introduced(definition,[new_symbols(definition,[spl10_111])],[avatar_definition]) ).

fof(f779,plain,
    ( e4 != op(e0,e2)
    | spl10_111 ),
    inference(avatar_component_clause,[],[f778]) ).

fof(f780,plain,
    ( e4 = op(e0,e2)
    | ~ spl10_111 ),
    inference(avatar_component_clause,[],[f778]) ).

fof(f782,definition,
    ( spl10_112
  <=> e3 = op(e0,e2) ),
    introduced(definition,[new_symbols(definition,[spl10_112])],[avatar_definition]) ).

fof(f784,plain,
    ( e3 = op(e0,e2)
    | ~ spl10_112 ),
    inference(avatar_component_clause,[],[f782]) ).

fof(f786,definition,
    ( spl10_113
  <=> e2 = op(e0,e2) ),
    introduced(definition,[new_symbols(definition,[spl10_113])],[avatar_definition]) ).

fof(f788,plain,
    ( e2 = op(e0,e2)
    | ~ spl10_113 ),
    inference(avatar_component_clause,[],[f786]) ).

fof(f790,definition,
    ( spl10_114
  <=> e1 = op(e0,e2) ),
    introduced(definition,[new_symbols(definition,[spl10_114])],[avatar_definition]) ).

fof(f791,plain,
    ( e1 != op(e0,e2)
    | spl10_114 ),
    inference(avatar_component_clause,[],[f790]) ).

fof(f792,plain,
    ( e1 = op(e0,e2)
    | ~ spl10_114 ),
    inference(avatar_component_clause,[],[f790]) ).

fof(f794,definition,
    ( spl10_115
  <=> e0 = op(e0,e2) ),
    introduced(definition,[new_symbols(definition,[spl10_115])],[avatar_definition]) ).

fof(f796,plain,
    ( e0 = op(e0,e2)
    | ~ spl10_115 ),
    inference(avatar_component_clause,[],[f794]) ).

fof(f799,definition,
    ( spl10_116
  <=> e4 = op(e0,e1) ),
    introduced(definition,[new_symbols(definition,[spl10_116])],[avatar_definition]) ).

fof(f801,plain,
    ( e4 = op(e0,e1)
    | ~ spl10_116 ),
    inference(avatar_component_clause,[],[f799]) ).

fof(f803,definition,
    ( spl10_117
  <=> e3 = op(e0,e1) ),
    introduced(definition,[new_symbols(definition,[spl10_117])],[avatar_definition]) ).

fof(f805,plain,
    ( e3 = op(e0,e1)
    | ~ spl10_117 ),
    inference(avatar_component_clause,[],[f803]) ).

fof(f807,definition,
    ( spl10_118
  <=> e2 = op(e0,e1) ),
    introduced(definition,[new_symbols(definition,[spl10_118])],[avatar_definition]) ).

fof(f809,plain,
    ( e2 = op(e0,e1)
    | ~ spl10_118 ),
    inference(avatar_component_clause,[],[f807]) ).

fof(f811,definition,
    ( spl10_119
  <=> e1 = op(e0,e1) ),
    introduced(definition,[new_symbols(definition,[spl10_119])],[avatar_definition]) ).

fof(f813,plain,
    ( e1 = op(e0,e1)
    | ~ spl10_119 ),
    inference(avatar_component_clause,[],[f811]) ).

fof(f815,definition,
    ( spl10_120
  <=> e0 = op(e0,e1) ),
    introduced(definition,[new_symbols(definition,[spl10_120])],[avatar_definition]) ).

fof(f817,plain,
    ( e0 = op(e0,e1)
    | ~ spl10_120 ),
    inference(avatar_component_clause,[],[f815]) ).

fof(f820,definition,
    ( spl10_121
  <=> op(e0,e0) = e4 ),
    introduced(definition,[new_symbols(definition,[spl10_121])],[avatar_definition]) ).

fof(f822,plain,
    ( op(e0,e0) = e4
    | ~ spl10_121 ),
    inference(avatar_component_clause,[],[f820]) ).

fof(f828,definition,
    ( spl10_123
  <=> op(e0,e0) = e2 ),
    introduced(definition,[new_symbols(definition,[spl10_123])],[avatar_definition]) ).

fof(f830,plain,
    ( op(e0,e0) = e2
    | ~ spl10_123 ),
    inference(avatar_component_clause,[],[f828]) ).

fof(f832,definition,
    ( spl10_124
  <=> op(e0,e0) = e1 ),
    introduced(definition,[new_symbols(definition,[spl10_124])],[avatar_definition]) ).

fof(f834,plain,
    ( op(e0,e0) = e1
    | ~ spl10_124 ),
    inference(avatar_component_clause,[],[f832]) ).

fof(f836,definition,
    ( spl10_125
  <=> e0 = op(e0,e0) ),
    introduced(definition,[new_symbols(definition,[spl10_125])],[avatar_definition]) ).

fof(f837,plain,
    ( e0 != op(e0,e0)
    | spl10_125 ),
    inference(avatar_component_clause,[],[f836]) ).

fof(f838,plain,
    ( e0 = op(e0,e0)
    | ~ spl10_125 ),
    inference(avatar_component_clause,[],[f836]) ).

fof(f841,definition,
    ( spl10_126
  <=> e4 = unit ),
    introduced(definition,[new_symbols(definition,[spl10_126])],[avatar_definition]) ).

fof(f843,plain,
    ( e4 = unit
    | ~ spl10_126 ),
    inference(avatar_component_clause,[],[f841]) ).

fof(f845,definition,
    ( spl10_127
  <=> e3 = unit ),
    introduced(definition,[new_symbols(definition,[spl10_127])],[avatar_definition]) ).

fof(f847,plain,
    ( e3 = unit
    | ~ spl10_127 ),
    inference(avatar_component_clause,[],[f845]) ).

fof(f849,definition,
    ( spl10_128
  <=> e2 = unit ),
    introduced(definition,[new_symbols(definition,[spl10_128])],[avatar_definition]) ).

fof(f851,plain,
    ( e2 = unit
    | ~ spl10_128 ),
    inference(avatar_component_clause,[],[f849]) ).

fof(f853,definition,
    ( spl10_129
  <=> e1 = unit ),
    introduced(definition,[new_symbols(definition,[spl10_129])],[avatar_definition]) ).

fof(f855,plain,
    ( e1 = unit
    | ~ spl10_129 ),
    inference(avatar_component_clause,[],[f853]) ).

fof(f857,definition,
    ( spl10_130
  <=> e0 = unit ),
    introduced(definition,[new_symbols(definition,[spl10_130])],[avatar_definition]) ).

fof(f859,plain,
    ( e0 = unit
    | ~ spl10_130 ),
    inference(avatar_component_clause,[],[f857]) ).

fof(f860,plain,
    ( spl10_126
    | spl10_127
    | spl10_128
    | spl10_129
    | spl10_130 ),
    inference(avatar_split_clause,[],[f279,f857,f853,f849,f845,f841]) ).

fof(f864,plain,
    ( spl10_2
    | spl10_7
    | spl10_12
    | spl10_17
    | spl10_22 ),
    inference(avatar_split_clause,[],[f232,f404,f383,f362,f341,f320]) ).

fof(f865,plain,
    ( spl10_3
    | spl10_28
    | spl10_53
    | spl10_78
    | spl10_103 ),
    inference(avatar_split_clause,[],[f233,f744,f639,f534,f429,f324]) ).

fof(f866,plain,
    ( spl10_3
    | spl10_8
    | spl10_13
    | spl10_18
    | spl10_23 ),
    inference(avatar_split_clause,[],[f234,f408,f387,f366,f345,f324]) ).

fof(f867,plain,
    ( spl10_4
    | spl10_29
    | spl10_54
    | spl10_79
    | spl10_104 ),
    inference(avatar_split_clause,[],[f235,f748,f643,f538,f433,f328]) ).

fof(f869,plain,
    ( spl10_5
    | spl10_30
    | spl10_55
    | spl10_80
    | spl10_105 ),
    inference(avatar_split_clause,[],[f237,f752,f647,f542,f437,f332]) ).

fof(f870,plain,
    ( spl10_5
    | spl10_10
    | spl10_15
    | spl10_20
    | spl10_25 ),
    inference(avatar_split_clause,[],[f238,f416,f395,f374,f353,f332]) ).

fof(f871,plain,
    ( spl10_6
    | spl10_31
    | spl10_56
    | spl10_81
    | spl10_106 ),
    inference(avatar_split_clause,[],[f239,f757,f652,f547,f442,f337]) ).

fof(f872,plain,
    ( spl10_26
    | spl10_31
    | spl10_36
    | spl10_41
    | spl10_46 ),
    inference(avatar_split_clause,[],[f240,f505,f484,f463,f442,f421]) ).

fof(f875,plain,
    ( spl10_8
    | spl10_33
    | spl10_58
    | spl10_83
    | spl10_108 ),
    inference(avatar_split_clause,[],[f243,f765,f660,f555,f450,f345]) ).

fof(f876,plain,
    ( spl10_28
    | spl10_33
    | spl10_38
    | spl10_43
    | spl10_48 ),
    inference(avatar_split_clause,[],[f244,f513,f492,f471,f450,f429]) ).

fof(f878,plain,
    ( spl10_29
    | spl10_34
    | spl10_39
    | spl10_44
    | spl10_49 ),
    inference(avatar_split_clause,[],[f246,f517,f496,f475,f454,f433]) ).

fof(f879,plain,
    ( spl10_10
    | spl10_35
    | spl10_60
    | spl10_85
    | spl10_110 ),
    inference(avatar_split_clause,[],[f247,f773,f668,f563,f458,f353]) ).

fof(f880,plain,
    ( spl10_30
    | spl10_35
    | spl10_40
    | spl10_45
    | spl10_50 ),
    inference(avatar_split_clause,[],[f248,f521,f500,f479,f458,f437]) ).

fof(f881,plain,
    ( spl10_11
    | spl10_36
    | spl10_61
    | spl10_86
    | spl10_111 ),
    inference(avatar_split_clause,[],[f249,f778,f673,f568,f463,f358]) ).

fof(f882,plain,
    ( spl10_51
    | spl10_56
    | spl10_61
    | spl10_66
    | spl10_71 ),
    inference(avatar_split_clause,[],[f250,f610,f589,f568,f547,f526]) ).

fof(f883,plain,
    ( spl10_12
    | spl10_37
    | spl10_62
    | spl10_87
    | spl10_112 ),
    inference(avatar_split_clause,[],[f251,f782,f677,f572,f467,f362]) ).

fof(f888,plain,
    ( spl10_54
    | spl10_59
    | spl10_64
    | spl10_69
    | spl10_74 ),
    inference(avatar_split_clause,[],[f256,f622,f601,f580,f559,f538]) ).

fof(f889,plain,
    ( spl10_15
    | spl10_40
    | spl10_65
    | spl10_90
    | spl10_115 ),
    inference(avatar_split_clause,[],[f257,f794,f689,f584,f479,f374]) ).

fof(f890,plain,
    ( spl10_55
    | spl10_60
    | spl10_65
    | spl10_70
    | spl10_75 ),
    inference(avatar_split_clause,[],[f258,f626,f605,f584,f563,f542]) ).

fof(f891,plain,
    ( spl10_16
    | spl10_41
    | spl10_66
    | spl10_91
    | spl10_116 ),
    inference(avatar_split_clause,[],[f259,f799,f694,f589,f484,f379]) ).

fof(f892,plain,
    ( spl10_76
    | spl10_81
    | spl10_86
    | spl10_91
    | spl10_96 ),
    inference(avatar_split_clause,[],[f260,f715,f694,f673,f652,f631]) ).

fof(f893,plain,
    ( spl10_17
    | spl10_42
    | spl10_67
    | spl10_92
    | spl10_117 ),
    inference(avatar_split_clause,[],[f261,f803,f698,f593,f488,f383]) ).

fof(f894,plain,
    ( spl10_77
    | spl10_82
    | spl10_87
    | spl10_92
    | spl10_97 ),
    inference(avatar_split_clause,[],[f262,f719,f698,f677,f656,f635]) ).

fof(f895,plain,
    ( spl10_18
    | spl10_43
    | spl10_68
    | spl10_93
    | spl10_118 ),
    inference(avatar_split_clause,[],[f263,f807,f702,f597,f492,f387]) ).

fof(f896,plain,
    ( spl10_78
    | spl10_83
    | spl10_88
    | spl10_93
    | spl10_98 ),
    inference(avatar_split_clause,[],[f264,f723,f702,f681,f660,f639]) ).

fof(f899,plain,
    ( spl10_20
    | spl10_45
    | spl10_70
    | spl10_95
    | spl10_120 ),
    inference(avatar_split_clause,[],[f267,f815,f710,f605,f500,f395]) ).

fof(f900,plain,
    ( spl10_80
    | spl10_85
    | spl10_90
    | spl10_95
    | spl10_100 ),
    inference(avatar_split_clause,[],[f268,f731,f710,f689,f668,f647]) ).

fof(f901,plain,
    ( spl10_21
    | spl10_46
    | spl10_71
    | spl10_96
    | spl10_121 ),
    inference(avatar_split_clause,[],[f269,f820,f715,f610,f505,f400]) ).

fof(f902,plain,
    ( spl10_101
    | spl10_106
    | spl10_111
    | spl10_116
    | spl10_121 ),
    inference(avatar_split_clause,[],[f270,f820,f799,f778,f757,f736]) ).

fof(f907,plain,
    ( spl10_24
    | spl10_49
    | spl10_74
    | spl10_99
    | spl10_124 ),
    inference(avatar_split_clause,[],[f275,f832,f727,f622,f517,f412]) ).

fof(f911,plain,
    spl10_52,
    inference(avatar_split_clause,[],[f116,f530]) ).

fof(f912,plain,
    spl10_14,
    inference(avatar_split_clause,[],[f117,f370]) ).

fof(f914,definition,
    ( spl10_131
  <=> sP0 ),
    introduced(definition,[new_symbols(definition,[spl10_131])],[avatar_definition]) ).

fof(f918,definition,
    ( spl10_132
  <=> sP1 ),
    introduced(definition,[new_symbols(definition,[spl10_132])],[avatar_definition]) ).

fof(f922,definition,
    ( spl10_133
  <=> e2 = op(e4,op(e2,e4)) ),
    introduced(definition,[new_symbols(definition,[spl10_133])],[avatar_definition]) ).

fof(f923,plain,
    ( e2 != op(e4,op(e2,e4))
    | spl10_133 ),
    inference(avatar_component_clause,[],[f922]) ).

fof(f924,plain,
    ( e2 = op(e4,op(e2,e4))
    | ~ spl10_133 ),
    inference(avatar_component_clause,[],[f922]) ).

fof(f926,definition,
    ( spl10_134
  <=> e1 = op(e4,op(e1,e4)) ),
    introduced(definition,[new_symbols(definition,[spl10_134])],[avatar_definition]) ).

fof(f928,plain,
    ( e1 = op(e4,op(e1,e4))
    | ~ spl10_134 ),
    inference(avatar_component_clause,[],[f926]) ).

fof(f930,definition,
    ( spl10_135
  <=> e0 = op(e4,op(e0,e4)) ),
    introduced(definition,[new_symbols(definition,[spl10_135])],[avatar_definition]) ).

fof(f931,plain,
    ( e0 != op(e4,op(e0,e4))
    | spl10_135 ),
    inference(avatar_component_clause,[],[f930]) ).

fof(f932,plain,
    ( e0 = op(e4,op(e0,e4))
    | ~ spl10_135 ),
    inference(avatar_component_clause,[],[f930]) ).

fof(f933,plain,
    ( spl10_131
    | spl10_132
    | spl10_133
    | spl10_134
    | spl10_135 ),
    inference(avatar_split_clause,[],[f51,f930,f926,f922,f918,f914]) ).

fof(f940,definition,
    ( spl10_137
  <=> e4 = op(e1,op(e1,e4)) ),
    introduced(definition,[new_symbols(definition,[spl10_137])],[avatar_definition]) ).

fof(f941,plain,
    ( e4 = op(e1,op(e1,e4))
    | ~ spl10_137 ),
    inference(avatar_component_clause,[],[f940]) ).

fof(f942,plain,
    ( e4 != op(e1,op(e1,e4))
    | spl10_137 ),
    inference(avatar_component_clause,[],[f940]) ).

fof(f943,plain,
    ( spl10_131
    | spl10_132
    | spl10_133
    | ~ spl10_137
    | spl10_135 ),
    inference(avatar_split_clause,[],[f53,f930,f940,f922,f918,f914]) ).

fof(f946,definition,
    ( spl10_138
  <=> e4 = op(e0,op(e0,e4)) ),
    introduced(definition,[new_symbols(definition,[spl10_138])],[avatar_definition]) ).

fof(f947,plain,
    ( e4 = op(e0,op(e0,e4))
    | ~ spl10_138 ),
    inference(avatar_component_clause,[],[f946]) ).

fof(f948,plain,
    ( e4 != op(e0,op(e0,e4))
    | spl10_138 ),
    inference(avatar_component_clause,[],[f946]) ).

fof(f949,plain,
    ( spl10_131
    | spl10_132
    | spl10_133
    | spl10_134
    | ~ spl10_138 ),
    inference(avatar_split_clause,[],[f55,f946,f926,f922,f918,f914]) ).

fof(f951,plain,
    ( spl10_131
    | spl10_132
    | spl10_133
    | ~ spl10_137
    | ~ spl10_138 ),
    inference(avatar_split_clause,[],[f57,f946,f940,f922,f918,f914]) ).

fof(f954,definition,
    ( spl10_139
  <=> sP2 ),
    introduced(definition,[new_symbols(definition,[spl10_139])],[avatar_definition]) ).

fof(f958,definition,
    ( spl10_140
  <=> sP3 ),
    introduced(definition,[new_symbols(definition,[spl10_140])],[avatar_definition]) ).

fof(f962,definition,
    ( spl10_141
  <=> e2 = op(e3,op(e2,e3)) ),
    introduced(definition,[new_symbols(definition,[spl10_141])],[avatar_definition]) ).

fof(f963,plain,
    ( e2 != op(e3,op(e2,e3))
    | spl10_141 ),
    inference(avatar_component_clause,[],[f962]) ).

fof(f964,plain,
    ( e2 = op(e3,op(e2,e3))
    | ~ spl10_141 ),
    inference(avatar_component_clause,[],[f962]) ).

fof(f966,definition,
    ( spl10_142
  <=> e1 = op(e3,op(e1,e3)) ),
    introduced(definition,[new_symbols(definition,[spl10_142])],[avatar_definition]) ).

fof(f967,plain,
    ( e1 != op(e3,op(e1,e3))
    | spl10_142 ),
    inference(avatar_component_clause,[],[f966]) ).

fof(f968,plain,
    ( e1 = op(e3,op(e1,e3))
    | ~ spl10_142 ),
    inference(avatar_component_clause,[],[f966]) ).

fof(f975,definition,
    ( spl10_144
  <=> e3 = op(e2,op(e2,e3)) ),
    introduced(definition,[new_symbols(definition,[spl10_144])],[avatar_definition]) ).

fof(f976,plain,
    ( e3 = op(e2,op(e2,e3))
    | ~ spl10_144 ),
    inference(avatar_component_clause,[],[f975]) ).

fof(f977,plain,
    ( e3 != op(e2,op(e2,e3))
    | spl10_144 ),
    inference(avatar_component_clause,[],[f975]) ).

fof(f980,definition,
    ( spl10_145
  <=> e3 = op(e1,op(e1,e3)) ),
    introduced(definition,[new_symbols(definition,[spl10_145])],[avatar_definition]) ).

fof(f981,plain,
    ( e3 = op(e1,op(e1,e3))
    | ~ spl10_145 ),
    inference(avatar_component_clause,[],[f980]) ).

fof(f982,plain,
    ( e3 != op(e1,op(e1,e3))
    | spl10_145 ),
    inference(avatar_component_clause,[],[f980]) ).

fof(f986,definition,
    ( spl10_146
  <=> e3 = op(e0,op(e0,e3)) ),
    introduced(definition,[new_symbols(definition,[spl10_146])],[avatar_definition]) ).

fof(f988,plain,
    ( e3 != op(e0,op(e0,e3))
    | spl10_146 ),
    inference(avatar_component_clause,[],[f986]) ).

fof(f991,plain,
    ( spl10_139
    | spl10_140
    | spl10_141
    | ~ spl10_145
    | ~ spl10_146 ),
    inference(avatar_split_clause,[],[f65,f986,f980,f962,f958,f954]) ).

fof(f994,definition,
    ( spl10_147
  <=> sP4 ),
    introduced(definition,[new_symbols(definition,[spl10_147])],[avatar_definition]) ).

fof(f998,definition,
    ( spl10_148
  <=> sP5 ),
    introduced(definition,[new_symbols(definition,[spl10_148])],[avatar_definition]) ).

fof(f1002,definition,
    ( spl10_149
  <=> e2 = op(e2,op(e2,e2)) ),
    introduced(definition,[new_symbols(definition,[spl10_149])],[avatar_definition]) ).

fof(f1006,definition,
    ( spl10_150
  <=> e1 = op(e2,op(e1,e2)) ),
    introduced(definition,[new_symbols(definition,[spl10_150])],[avatar_definition]) ).

fof(f1007,plain,
    ( e1 != op(e2,op(e1,e2))
    | spl10_150 ),
    inference(avatar_component_clause,[],[f1006]) ).

fof(f1008,plain,
    ( e1 = op(e2,op(e1,e2))
    | ~ spl10_150 ),
    inference(avatar_component_clause,[],[f1006]) ).

fof(f1010,definition,
    ( spl10_151
  <=> e0 = op(e2,op(e0,e2)) ),
    introduced(definition,[new_symbols(definition,[spl10_151])],[avatar_definition]) ).

fof(f1011,plain,
    ( e0 != op(e2,op(e0,e2))
    | spl10_151 ),
    inference(avatar_component_clause,[],[f1010]) ).

fof(f1012,plain,
    ( e0 = op(e2,op(e0,e2))
    | ~ spl10_151 ),
    inference(avatar_component_clause,[],[f1010]) ).

fof(f1016,definition,
    ( spl10_152
  <=> e2 = op(e1,op(e1,e2)) ),
    introduced(definition,[new_symbols(definition,[spl10_152])],[avatar_definition]) ).

fof(f1017,plain,
    ( e2 = op(e1,op(e1,e2))
    | ~ spl10_152 ),
    inference(avatar_component_clause,[],[f1016]) ).

fof(f1018,plain,
    ( e2 != op(e1,op(e1,e2))
    | spl10_152 ),
    inference(avatar_component_clause,[],[f1016]) ).

fof(f1022,definition,
    ( spl10_153
  <=> e2 = op(e0,op(e0,e2)) ),
    introduced(definition,[new_symbols(definition,[spl10_153])],[avatar_definition]) ).

fof(f1023,plain,
    ( e2 = op(e0,op(e0,e2))
    | ~ spl10_153 ),
    inference(avatar_component_clause,[],[f1022]) ).

fof(f1024,plain,
    ( e2 != op(e0,op(e0,e2))
    | spl10_153 ),
    inference(avatar_component_clause,[],[f1022]) ).

fof(f1027,plain,
    ( spl10_147
    | spl10_148
    | spl10_149
    | ~ spl10_152
    | ~ spl10_153 ),
    inference(avatar_split_clause,[],[f73,f1022,f1016,f1002,f998,f994]) ).

fof(f1028,plain,
    ( spl10_147
    | spl10_148
    | ~ spl10_149
    | ~ spl10_152
    | ~ spl10_153 ),
    inference(avatar_split_clause,[],[f74,f1022,f1016,f1002,f998,f994]) ).

fof(f1051,definition,
    ( spl10_159
  <=> e1 = op(e2,op(e2,e1)) ),
    introduced(definition,[new_symbols(definition,[spl10_159])],[avatar_definition]) ).

fof(f1052,plain,
    ( e1 = op(e2,op(e2,e1))
    | ~ spl10_159 ),
    inference(avatar_component_clause,[],[f1051]) ).

fof(f1053,plain,
    ( e1 != op(e2,op(e2,e1))
    | spl10_159 ),
    inference(avatar_component_clause,[],[f1051]) ).

fof(f1058,definition,
    ( spl10_160
  <=> e1 = op(e0,op(e0,e1)) ),
    introduced(definition,[new_symbols(definition,[spl10_160])],[avatar_definition]) ).

fof(f1059,plain,
    ( e1 = op(e0,op(e0,e1))
    | ~ spl10_160 ),
    inference(avatar_component_clause,[],[f1058]) ).

fof(f1060,plain,
    ( e1 != op(e0,op(e0,e1))
    | spl10_160 ),
    inference(avatar_component_clause,[],[f1058]) ).

fof(f1066,definition,
    ( spl10_161
  <=> sP8 ),
    introduced(definition,[new_symbols(definition,[spl10_161])],[avatar_definition]) ).

fof(f1070,definition,
    ( spl10_162
  <=> sP9 ),
    introduced(definition,[new_symbols(definition,[spl10_162])],[avatar_definition]) ).

fof(f1074,definition,
    ( spl10_163
  <=> e2 = op(e0,op(e2,e0)) ),
    introduced(definition,[new_symbols(definition,[spl10_163])],[avatar_definition]) ).

fof(f1075,plain,
    ( e2 != op(e0,op(e2,e0))
    | spl10_163 ),
    inference(avatar_component_clause,[],[f1074]) ).

fof(f1076,plain,
    ( e2 = op(e0,op(e2,e0))
    | ~ spl10_163 ),
    inference(avatar_component_clause,[],[f1074]) ).

fof(f1082,definition,
    ( spl10_165
  <=> e0 = op(e0,op(e0,e0)) ),
    introduced(definition,[new_symbols(definition,[spl10_165])],[avatar_definition]) ).

fof(f1087,definition,
    ( spl10_166
  <=> e0 = op(e2,op(e2,e0)) ),
    introduced(definition,[new_symbols(definition,[spl10_166])],[avatar_definition]) ).

fof(f1088,plain,
    ( e0 = op(e2,op(e2,e0))
    | ~ spl10_166 ),
    inference(avatar_component_clause,[],[f1087]) ).

fof(f1089,plain,
    ( e0 != op(e2,op(e2,e0))
    | spl10_166 ),
    inference(avatar_component_clause,[],[f1087]) ).

fof(f1092,definition,
    ( spl10_167
  <=> e0 = op(e1,op(e1,e0)) ),
    introduced(definition,[new_symbols(definition,[spl10_167])],[avatar_definition]) ).

fof(f1094,plain,
    ( e0 != op(e1,op(e1,e0))
    | spl10_167 ),
    inference(avatar_component_clause,[],[f1092]) ).

fof(f1096,plain,
    ( spl10_161
    | spl10_162
    | ~ spl10_166
    | ~ spl10_167
    | spl10_165 ),
    inference(avatar_split_clause,[],[f86,f1082,f1092,f1087,f1070,f1066]) ).

fof(f1100,plain,
    ( spl10_161
    | spl10_162
    | ~ spl10_166
    | ~ spl10_167
    | ~ spl10_165 ),
    inference(avatar_split_clause,[],[f90,f1082,f1092,f1087,f1070,f1066]) ).

fof(f1101,plain,
    ( spl10_6
    | ~ spl10_2 ),
    inference(avatar_split_clause,[],[f92,f320,f337]) ).

fof(f1102,plain,
    ( spl10_11
    | ~ spl10_3 ),
    inference(avatar_split_clause,[],[f93,f324,f358]) ).

fof(f1103,plain,
    ( spl10_16
    | ~ spl10_4 ),
    inference(avatar_split_clause,[],[f94,f328,f379]) ).

fof(f1104,plain,
    ( spl10_21
    | ~ spl10_5 ),
    inference(avatar_split_clause,[],[f95,f332,f400]) ).

fof(f1105,plain,
    ( spl10_27
    | ~ spl10_31 ),
    inference(avatar_split_clause,[],[f96,f442,f425]) ).

fof(f1106,plain,
    ( spl10_37
    | ~ spl10_33 ),
    inference(avatar_split_clause,[],[f98,f450,f467]) ).

fof(f1109,plain,
    ( spl10_53
    | ~ spl10_61 ),
    inference(avatar_split_clause,[],[f101,f568,f534]) ).

fof(f1110,plain,
    ( spl10_58
    | ~ spl10_62 ),
    inference(avatar_split_clause,[],[f102,f572,f555]) ).

fof(f1111,plain,
    ( spl10_68
    | ~ spl10_64 ),
    inference(avatar_split_clause,[],[f104,f580,f597]) ).

fof(f1112,plain,
    ( spl10_73
    | ~ spl10_65 ),
    inference(avatar_split_clause,[],[f105,f584,f618]) ).

fof(f1113,plain,
    ( spl10_79
    | ~ spl10_91 ),
    inference(avatar_split_clause,[],[f106,f694,f643]) ).

fof(f1114,plain,
    ( spl10_84
    | ~ spl10_92 ),
    inference(avatar_split_clause,[],[f107,f698,f664]) ).

fof(f1115,plain,
    ( spl10_89
    | ~ spl10_93 ),
    inference(avatar_split_clause,[],[f108,f702,f685]) ).

fof(f1120,plain,
    ( spl10_120
    | ~ spl10_124 ),
    inference(avatar_split_clause,[],[f114,f832,f815]) ).

fof(f1122,definition,
    ( spl10_168
  <=> e4 = op(e4,op(e4,e4)) ),
    introduced(definition,[new_symbols(definition,[spl10_168])],[avatar_definition]) ).

fof(f1125,plain,
    ( ~ spl10_131
    | spl10_168 ),
    inference(avatar_split_clause,[],[f49,f1122,f914]) ).

fof(f1126,plain,
    ( ~ spl10_131
    | ~ spl10_168 ),
    inference(avatar_split_clause,[],[f50,f1122,f914]) ).

fof(f1128,definition,
    ( spl10_169
  <=> e3 = op(e4,op(e3,e4)) ),
    introduced(definition,[new_symbols(definition,[spl10_169])],[avatar_definition]) ).

fof(f1129,plain,
    ( e3 != op(e4,op(e3,e4))
    | spl10_169 ),
    inference(avatar_component_clause,[],[f1128]) ).

fof(f1130,plain,
    ( e3 = op(e4,op(e3,e4))
    | ~ spl10_169 ),
    inference(avatar_component_clause,[],[f1128]) ).

fof(f1131,plain,
    ( ~ spl10_132
    | spl10_169 ),
    inference(avatar_split_clause,[],[f47,f1128,f918]) ).

fof(f1133,definition,
    ( spl10_170
  <=> e4 = op(e3,op(e3,e4)) ),
    introduced(definition,[new_symbols(definition,[spl10_170])],[avatar_definition]) ).

fof(f1134,plain,
    ( e4 = op(e3,op(e3,e4))
    | ~ spl10_170 ),
    inference(avatar_component_clause,[],[f1133]) ).

fof(f1135,plain,
    ( e4 != op(e3,op(e3,e4))
    | spl10_170 ),
    inference(avatar_component_clause,[],[f1133]) ).

fof(f1136,plain,
    ( ~ spl10_132
    | ~ spl10_170 ),
    inference(avatar_split_clause,[],[f48,f1133,f918]) ).

fof(f1138,definition,
    ( spl10_171
  <=> e4 = op(e3,op(e4,e3)) ),
    introduced(definition,[new_symbols(definition,[spl10_171])],[avatar_definition]) ).

fof(f1140,plain,
    ( e4 = op(e3,op(e4,e3))
    | ~ spl10_171 ),
    inference(avatar_component_clause,[],[f1138]) ).

fof(f1141,plain,
    ( ~ spl10_139
    | spl10_171 ),
    inference(avatar_split_clause,[],[f45,f1138,f954]) ).

fof(f1143,definition,
    ( spl10_172
  <=> e3 = op(e4,op(e4,e3)) ),
    introduced(definition,[new_symbols(definition,[spl10_172])],[avatar_definition]) ).

fof(f1144,plain,
    ( e3 = op(e4,op(e4,e3))
    | ~ spl10_172 ),
    inference(avatar_component_clause,[],[f1143]) ).

fof(f1145,plain,
    ( e3 != op(e4,op(e4,e3))
    | spl10_172 ),
    inference(avatar_component_clause,[],[f1143]) ).

fof(f1146,plain,
    ( ~ spl10_139
    | ~ spl10_172 ),
    inference(avatar_split_clause,[],[f46,f1143,f954]) ).

fof(f1148,definition,
    ( spl10_173
  <=> e3 = op(e3,op(e3,e3)) ),
    introduced(definition,[new_symbols(definition,[spl10_173])],[avatar_definition]) ).

fof(f1151,plain,
    ( ~ spl10_140
    | spl10_173 ),
    inference(avatar_split_clause,[],[f43,f1148,f958]) ).

fof(f1152,plain,
    ( ~ spl10_140
    | ~ spl10_173 ),
    inference(avatar_split_clause,[],[f44,f1148,f958]) ).

fof(f1154,definition,
    ( spl10_174
  <=> e4 = op(e2,op(e4,e2)) ),
    introduced(definition,[new_symbols(definition,[spl10_174])],[avatar_definition]) ).

fof(f1155,plain,
    ( e4 != op(e2,op(e4,e2))
    | spl10_174 ),
    inference(avatar_component_clause,[],[f1154]) ).

fof(f1156,plain,
    ( e4 = op(e2,op(e4,e2))
    | ~ spl10_174 ),
    inference(avatar_component_clause,[],[f1154]) ).

fof(f1157,plain,
    ( ~ spl10_147
    | spl10_174 ),
    inference(avatar_split_clause,[],[f41,f1154,f994]) ).

fof(f1159,definition,
    ( spl10_175
  <=> e2 = op(e4,op(e4,e2)) ),
    introduced(definition,[new_symbols(definition,[spl10_175])],[avatar_definition]) ).

fof(f1160,plain,
    ( e2 = op(e4,op(e4,e2))
    | ~ spl10_175 ),
    inference(avatar_component_clause,[],[f1159]) ).

fof(f1161,plain,
    ( e2 != op(e4,op(e4,e2))
    | spl10_175 ),
    inference(avatar_component_clause,[],[f1159]) ).

fof(f1162,plain,
    ( ~ spl10_147
    | ~ spl10_175 ),
    inference(avatar_split_clause,[],[f42,f1159,f994]) ).

fof(f1164,definition,
    ( spl10_176
  <=> e3 = op(e2,op(e3,e2)) ),
    introduced(definition,[new_symbols(definition,[spl10_176])],[avatar_definition]) ).

fof(f1166,plain,
    ( e3 = op(e2,op(e3,e2))
    | ~ spl10_176 ),
    inference(avatar_component_clause,[],[f1164]) ).

fof(f1167,plain,
    ( ~ spl10_148
    | spl10_176 ),
    inference(avatar_split_clause,[],[f39,f1164,f998]) ).

fof(f1169,definition,
    ( spl10_177
  <=> e2 = op(e3,op(e3,e2)) ),
    introduced(definition,[new_symbols(definition,[spl10_177])],[avatar_definition]) ).

fof(f1170,plain,
    ( e2 = op(e3,op(e3,e2))
    | ~ spl10_177 ),
    inference(avatar_component_clause,[],[f1169]) ).

fof(f1171,plain,
    ( e2 != op(e3,op(e3,e2))
    | spl10_177 ),
    inference(avatar_component_clause,[],[f1169]) ).

fof(f1172,plain,
    ( ~ spl10_148
    | ~ spl10_177 ),
    inference(avatar_split_clause,[],[f40,f1169,f998]) ).

fof(f1184,definition,
    ( spl10_180
  <=> e3 = op(e1,op(e3,e1)) ),
    introduced(definition,[new_symbols(definition,[spl10_180])],[avatar_definition]) ).

fof(f1185,plain,
    ( e3 != op(e1,op(e3,e1))
    | spl10_180 ),
    inference(avatar_component_clause,[],[f1184]) ).

fof(f1186,plain,
    ( e3 = op(e1,op(e3,e1))
    | ~ spl10_180 ),
    inference(avatar_component_clause,[],[f1184]) ).

fof(f1199,definition,
    ( spl10_183
  <=> e0 = op(e4,op(e4,e0)) ),
    introduced(definition,[new_symbols(definition,[spl10_183])],[avatar_definition]) ).

fof(f1200,plain,
    ( e0 = op(e4,op(e4,e0))
    | ~ spl10_183 ),
    inference(avatar_component_clause,[],[f1199]) ).

fof(f1201,plain,
    ( e0 != op(e4,op(e4,e0))
    | spl10_183 ),
    inference(avatar_component_clause,[],[f1199]) ).

fof(f1202,plain,
    ( ~ spl10_161
    | ~ spl10_183 ),
    inference(avatar_split_clause,[],[f34,f1199,f1066]) ).

fof(f1209,definition,
    ( spl10_185
  <=> e0 = op(e3,op(e3,e0)) ),
    introduced(definition,[new_symbols(definition,[spl10_185])],[avatar_definition]) ).

fof(f1211,plain,
    ( e0 != op(e3,op(e3,e0))
    | spl10_185 ),
    inference(avatar_component_clause,[],[f1209]) ).

fof(f1212,plain,
    ( ~ spl10_162
    | ~ spl10_185 ),
    inference(avatar_split_clause,[],[f32,f1209,f1070]) ).

fof(f1225,plain,
    ( e2 = op(e4,e3)
    | ~ spl10_52
    | ~ spl10_133 ),
    inference(forward_demodulation,[],[f924,f532]) ).

fof(f1227,plain,
    ( e2 = op(e3,e4)
    | ~ spl10_56
    | ~ spl10_141 ),
    inference(forward_demodulation,[],[f964,f549]) ).

fof(f1228,plain,
    ( e3 != op(e2,e4)
    | ~ spl10_56
    | spl10_144 ),
    inference(forward_demodulation,[],[f977,f549]) ).

fof(f1236,plain,
    ( e0 != op(e2,e1)
    | ~ spl10_74
    | spl10_166 ),
    inference(forward_demodulation,[],[f1089,f624]) ).

fof(f1239,plain,
    ( $false
    | ~ spl10_52
    | ~ spl10_56
    | spl10_144 ),
    inference(forward_subsumption_resolution,[],[f1228,f532]) ).

fof(f1240,plain,
    ( ~ spl10_52
    | ~ spl10_56
    | spl10_144 ),
    inference(avatar_contradiction_clause,[],[f1239]) ).

fof(f1255,plain,
    ( op(e0,e0) = e2
    | ~ spl10_75
    | ~ spl10_163 ),
    inference(forward_demodulation,[],[f1076,f628]) ).

fof(f1261,plain,
    ( spl10_123
    | ~ spl10_75
    | ~ spl10_163 ),
    inference(avatar_split_clause,[],[f1255,f1074,f626,f828]) ).

fof(f1271,plain,
    ( e2 = op(e0,e4)
    | ~ spl10_71
    | ~ spl10_163 ),
    inference(forward_demodulation,[],[f1076,f612]) ).

fof(f1295,plain,
    ( e1 != op(e2,e1)
    | ~ spl10_69
    | spl10_159 ),
    inference(forward_demodulation,[],[f1053,f603]) ).

fof(f1299,plain,
    ( $false
    | ~ spl10_69
    | spl10_159 ),
    inference(forward_subsumption_resolution,[],[f1295,f603]) ).

fof(f1300,plain,
    ( ~ spl10_69
    | spl10_159 ),
    inference(avatar_contradiction_clause,[],[f1299]) ).

fof(f1339,plain,
    ( e2 = e4
    | ~ spl10_16
    | ~ spl10_18 ),
    inference(forward_demodulation,[],[f381,f389]) ).

fof(f1342,plain,
    ( $false
    | ~ spl10_16
    | ~ spl10_18 ),
    inference(forward_subsumption_resolution,[],[f1339,f120]) ).

fof(f1343,plain,
    ( ~ spl10_16
    | ~ spl10_18 ),
    inference(avatar_contradiction_clause,[],[f1342]) ).

fof(f1347,plain,
    ( e3 = e4
    | ~ spl10_21
    | ~ spl10_22 ),
    inference(forward_demodulation,[],[f402,f406]) ).

fof(f1348,plain,
    ( e0 = e4
    | ~ spl10_16
    | ~ spl10_20 ),
    inference(forward_demodulation,[],[f381,f397]) ).

fof(f1350,plain,
    ( $false
    | ~ spl10_21
    | ~ spl10_22 ),
    inference(forward_subsumption_resolution,[],[f1347,f119]) ).

fof(f1351,plain,
    ( ~ spl10_21
    | ~ spl10_22 ),
    inference(avatar_contradiction_clause,[],[f1350]) ).

fof(f1352,plain,
    ( $false
    | ~ spl10_16
    | ~ spl10_20 ),
    inference(forward_subsumption_resolution,[],[f1348,f125]) ).

fof(f1353,plain,
    ( ~ spl10_16
    | ~ spl10_20 ),
    inference(avatar_contradiction_clause,[],[f1352]) ).

fof(f1380,plain,
    ( e4 = op(e4,e3)
    | ~ spl10_127 ),
    inference(superposition,[],[f280,f847]) ).

fof(f1384,plain,
    ( e2 = op(e2,e3)
    | ~ spl10_127 ),
    inference(superposition,[],[f284,f847]) ).

fof(f1385,plain,
    ( e2 = op(e3,e2)
    | ~ spl10_127 ),
    inference(superposition,[],[f285,f847]) ).

fof(f1386,plain,
    ( e1 = op(e1,e3)
    | ~ spl10_127 ),
    inference(superposition,[],[f286,f847]) ).

fof(f1390,plain,
    ( spl10_84
    | ~ spl10_127 ),
    inference(avatar_split_clause,[],[f1386,f845,f664]) ).

fof(f1391,plain,
    ( spl10_38
    | ~ spl10_127 ),
    inference(avatar_split_clause,[],[f1385,f845,f471]) ).

fof(f1395,plain,
    ( e3 = e4
    | ~ spl10_7
    | ~ spl10_127 ),
    inference(forward_demodulation,[],[f1380,f343]) ).

fof(f1404,plain,
    ( $false
    | ~ spl10_7
    | ~ spl10_127 ),
    inference(forward_subsumption_resolution,[],[f1395,f119]) ).

fof(f1405,plain,
    ( ~ spl10_7
    | ~ spl10_127 ),
    inference(avatar_contradiction_clause,[],[f1404]) ).

fof(f1409,plain,
    ( e2 = e3
    | ~ spl10_82
    | ~ spl10_83 ),
    inference(forward_demodulation,[],[f658,f662]) ).

fof(f1410,plain,
    ( e2 = op(e3,e0)
    | ~ spl10_60
    | ~ spl10_141 ),
    inference(forward_demodulation,[],[f964,f565]) ).

fof(f1414,plain,
    ( e0 = e2
    | ~ spl10_60
    | ~ spl10_127 ),
    inference(forward_demodulation,[],[f1384,f565]) ).

fof(f1418,plain,
    ( e2 = e4
    | ~ spl10_8
    | ~ spl10_127 ),
    inference(forward_demodulation,[],[f1380,f347]) ).

fof(f1419,plain,
    ( $false
    | ~ spl10_82
    | ~ spl10_83 ),
    inference(forward_subsumption_resolution,[],[f1409,f121]) ).

fof(f1420,plain,
    ( ~ spl10_82
    | ~ spl10_83 ),
    inference(avatar_contradiction_clause,[],[f1419]) ).

fof(f1424,plain,
    ( $false
    | ~ spl10_60
    | ~ spl10_127 ),
    inference(forward_subsumption_resolution,[],[f1414,f127]) ).

fof(f1425,plain,
    ( ~ spl10_60
    | ~ spl10_127 ),
    inference(avatar_contradiction_clause,[],[f1424]) ).

fof(f1426,plain,
    ( $false
    | ~ spl10_8
    | ~ spl10_127 ),
    inference(forward_subsumption_resolution,[],[f1418,f120]) ).

fof(f1427,plain,
    ( ~ spl10_8
    | ~ spl10_127 ),
    inference(avatar_contradiction_clause,[],[f1426]) ).

fof(f1432,plain,
    ( e1 = e3
    | ~ spl10_82
    | ~ spl10_84 ),
    inference(forward_demodulation,[],[f658,f666]) ).

fof(f1436,plain,
    ( $false
    | ~ spl10_82
    | ~ spl10_84 ),
    inference(forward_subsumption_resolution,[],[f1432,f123]) ).

fof(f1437,plain,
    ( ~ spl10_82
    | ~ spl10_84 ),
    inference(avatar_contradiction_clause,[],[f1436]) ).

fof(f1440,plain,
    ( e4 = op(e2,e4)
    | ~ spl10_128 ),
    inference(superposition,[],[f281,f851]) ).

fof(f1454,plain,
    ( e3 = e4
    | ~ spl10_52
    | ~ spl10_128 ),
    inference(forward_demodulation,[],[f1440,f532]) ).

fof(f1457,plain,
    ( $false
    | ~ spl10_52
    | ~ spl10_128 ),
    inference(forward_subsumption_resolution,[],[f1454,f119]) ).

fof(f1458,plain,
    ( ~ spl10_52
    | ~ spl10_128 ),
    inference(avatar_contradiction_clause,[],[f1457]) ).

fof(f1474,plain,
    ( e0 = e2
    | ~ spl10_10
    | ~ spl10_52
    | ~ spl10_133 ),
    inference(forward_demodulation,[],[f1225,f355]) ).

fof(f1477,plain,
    ( $false
    | ~ spl10_10
    | ~ spl10_52
    | ~ spl10_133 ),
    inference(forward_subsumption_resolution,[],[f1474,f127]) ).

fof(f1478,plain,
    ( ~ spl10_10
    | ~ spl10_52
    | ~ spl10_133 ),
    inference(avatar_contradiction_clause,[],[f1477]) ).

fof(f1483,plain,
    ( spl10_8
    | ~ spl10_52
    | ~ spl10_133 ),
    inference(avatar_split_clause,[],[f1225,f922,f530,f345]) ).

fof(f1486,plain,
    ( e4 = op(e1,e4)
    | ~ spl10_129 ),
    inference(superposition,[],[f281,f855]) ).

fof(f1501,plain,
    ( e0 = e2
    | ~ spl10_68
    | ~ spl10_70 ),
    inference(forward_demodulation,[],[f599,f607]) ).

fof(f1507,plain,
    ( e1 = e4
    | ~ spl10_79
    | ~ spl10_129 ),
    inference(forward_demodulation,[],[f1486,f645]) ).

fof(f1509,plain,
    ( $false
    | ~ spl10_68
    | ~ spl10_70 ),
    inference(forward_subsumption_resolution,[],[f1501,f127]) ).

fof(f1510,plain,
    ( ~ spl10_68
    | ~ spl10_70 ),
    inference(avatar_contradiction_clause,[],[f1509]) ).

fof(f1511,plain,
    ( $false
    | ~ spl10_79
    | ~ spl10_129 ),
    inference(forward_subsumption_resolution,[],[f1507,f122]) ).

fof(f1512,plain,
    ( ~ spl10_79
    | ~ spl10_129 ),
    inference(avatar_contradiction_clause,[],[f1511]) ).

fof(f1518,plain,
    ( e2 != op(e1,e2)
    | ~ spl10_88
    | spl10_152 ),
    inference(forward_demodulation,[],[f1018,f683]) ).

fof(f1523,plain,
    ( $false
    | ~ spl10_88
    | spl10_152 ),
    inference(forward_subsumption_resolution,[],[f1518,f683]) ).

fof(f1524,plain,
    ( ~ spl10_88
    | spl10_152 ),
    inference(avatar_contradiction_clause,[],[f1523]) ).

fof(f1546,plain,
    ( e0 = e1
    | ~ spl10_44
    | ~ spl10_45 ),
    inference(forward_demodulation,[],[f498,f502]) ).

fof(f1548,plain,
    ( spl10_48
    | ~ spl10_60
    | ~ spl10_141 ),
    inference(avatar_split_clause,[],[f1410,f962,f563,f513]) ).

fof(f1555,plain,
    ( e1 = op(e2,e1)
    | ~ spl10_89
    | ~ spl10_150 ),
    inference(forward_demodulation,[],[f1008,f687]) ).

fof(f1556,plain,
    ( e2 != op(e1,e1)
    | ~ spl10_89
    | spl10_152 ),
    inference(forward_demodulation,[],[f1018,f687]) ).

fof(f1561,plain,
    ( $false
    | ~ spl10_44
    | ~ spl10_45 ),
    inference(forward_subsumption_resolution,[],[f1546,f128]) ).

fof(f1562,plain,
    ( ~ spl10_44
    | ~ spl10_45 ),
    inference(avatar_contradiction_clause,[],[f1561]) ).

fof(f1565,plain,
    ( $false
    | spl10_69
    | ~ spl10_89
    | ~ spl10_150 ),
    inference(forward_subsumption_resolution,[],[f1555,f602]) ).

fof(f1566,plain,
    ( spl10_69
    | ~ spl10_89
    | ~ spl10_150 ),
    inference(avatar_contradiction_clause,[],[f1565]) ).

fof(f1576,plain,
    ( e1 = op(e2,e0)
    | ~ spl10_90
    | ~ spl10_150 ),
    inference(forward_demodulation,[],[f1008,f691]) ).

fof(f1582,plain,
    ( spl10_74
    | ~ spl10_90
    | ~ spl10_150 ),
    inference(avatar_split_clause,[],[f1576,f1006,f689,f622]) ).

fof(f1592,plain,
    ( e4 = op(e4,e0)
    | ~ spl10_130 ),
    inference(superposition,[],[f280,f859]) ).

fof(f1594,plain,
    ( e3 = op(e3,e0)
    | ~ spl10_130 ),
    inference(superposition,[],[f282,f859]) ).

fof(f1595,plain,
    ( e3 = op(e0,e3)
    | ~ spl10_130 ),
    inference(superposition,[],[f283,f859]) ).

fof(f1596,plain,
    ( e2 = op(e2,e0)
    | ~ spl10_130 ),
    inference(superposition,[],[f284,f859]) ).

fof(f1597,plain,
    ( e2 = op(e0,e2)
    | ~ spl10_130 ),
    inference(superposition,[],[f285,f859]) ).

fof(f1598,plain,
    ( e1 = op(e1,e0)
    | ~ spl10_130 ),
    inference(superposition,[],[f286,f859]) ).

fof(f1599,plain,
    ( e1 = op(e0,e1)
    | ~ spl10_130 ),
    inference(superposition,[],[f287,f859]) ).

fof(f1603,plain,
    ( spl10_119
    | ~ spl10_130 ),
    inference(avatar_split_clause,[],[f1599,f857,f811]) ).

fof(f1604,plain,
    ( e0 = e1
    | ~ spl10_100
    | ~ spl10_130 ),
    inference(forward_demodulation,[],[f1598,f733]) ).

fof(f1605,plain,
    ( spl10_113
    | ~ spl10_130 ),
    inference(avatar_split_clause,[],[f1597,f857,f786]) ).

fof(f1606,plain,
    ( spl10_73
    | ~ spl10_130 ),
    inference(avatar_split_clause,[],[f1596,f857,f618]) ).

fof(f1607,plain,
    ( e2 = e3
    | ~ spl10_108
    | ~ spl10_130 ),
    inference(forward_demodulation,[],[f1595,f767]) ).

fof(f1608,plain,
    ( e1 = e3
    | ~ spl10_49
    | ~ spl10_130 ),
    inference(forward_demodulation,[],[f1594,f519]) ).

fof(f1610,plain,
    ( e3 = e4
    | ~ spl10_22
    | ~ spl10_130 ),
    inference(forward_demodulation,[],[f1592,f406]) ).

fof(f1611,plain,
    ( $false
    | ~ spl10_100
    | ~ spl10_130 ),
    inference(forward_subsumption_resolution,[],[f1604,f128]) ).

fof(f1612,plain,
    ( ~ spl10_100
    | ~ spl10_130 ),
    inference(avatar_contradiction_clause,[],[f1611]) ).

fof(f1613,plain,
    ( $false
    | ~ spl10_108
    | ~ spl10_130 ),
    inference(forward_subsumption_resolution,[],[f1607,f121]) ).

fof(f1614,plain,
    ( ~ spl10_108
    | ~ spl10_130 ),
    inference(avatar_contradiction_clause,[],[f1613]) ).

fof(f1615,plain,
    ( $false
    | ~ spl10_49
    | ~ spl10_130 ),
    inference(forward_subsumption_resolution,[],[f1608,f123]) ).

fof(f1616,plain,
    ( ~ spl10_49
    | ~ spl10_130 ),
    inference(avatar_contradiction_clause,[],[f1615]) ).

fof(f1619,plain,
    ( $false
    | ~ spl10_22
    | ~ spl10_130 ),
    inference(forward_subsumption_resolution,[],[f1610,f119]) ).

fof(f1620,plain,
    ( ~ spl10_22
    | ~ spl10_130 ),
    inference(avatar_contradiction_clause,[],[f1619]) ).

fof(f1624,plain,
    ( e0 = e1
    | ~ spl10_99
    | ~ spl10_100 ),
    inference(forward_demodulation,[],[f729,f733]) ).

fof(f1627,plain,
    ( e1 = op(e4,e0)
    | ~ spl10_80
    | ~ spl10_134 ),
    inference(forward_demodulation,[],[f928,f649]) ).

fof(f1631,plain,
    ( $false
    | ~ spl10_99
    | ~ spl10_100 ),
    inference(forward_subsumption_resolution,[],[f1624,f128]) ).

fof(f1632,plain,
    ( ~ spl10_99
    | ~ spl10_100 ),
    inference(avatar_contradiction_clause,[],[f1631]) ).

fof(f1639,plain,
    ( e4 = op(e4,e3)
    | ~ spl10_127 ),
    inference(superposition,[],[f280,f847]) ).

fof(f1640,plain,
    ( e4 = op(e3,e4)
    | ~ spl10_127 ),
    inference(superposition,[],[f281,f847]) ).

fof(f1649,plain,
    ( e0 = op(e0,e3)
    | ~ spl10_127 ),
    inference(superposition,[],[f288,f847]) ).

fof(f1650,plain,
    ( spl10_110
    | ~ spl10_127 ),
    inference(avatar_split_clause,[],[f1649,f845,f773]) ).

fof(f1652,plain,
    ( e0 = op(e3,e0)
    | ~ spl10_127 ),
    inference(superposition,[],[f289,f847]) ).

fof(f1653,plain,
    ( spl10_50
    | ~ spl10_127 ),
    inference(avatar_split_clause,[],[f1652,f845,f521]) ).

fof(f1664,plain,
    ( e1 = e4
    | ~ spl10_11
    | ~ spl10_14 ),
    inference(superposition,[],[f372,f360]) ).

fof(f1668,plain,
    ( $false
    | ~ spl10_11
    | ~ spl10_14 ),
    inference(forward_subsumption_resolution,[],[f1664,f122]) ).

fof(f1669,plain,
    ( ~ spl10_11
    | ~ spl10_14 ),
    inference(avatar_contradiction_clause,[],[f1668]) ).

fof(f1672,plain,
    ( e0 = e1
    | ~ spl10_14
    | ~ spl10_15 ),
    inference(superposition,[],[f376,f372]) ).

fof(f1676,plain,
    ( $false
    | ~ spl10_14
    | ~ spl10_15 ),
    inference(forward_subsumption_resolution,[],[f1672,f128]) ).

fof(f1677,plain,
    ( ~ spl10_14
    | ~ spl10_15 ),
    inference(avatar_contradiction_clause,[],[f1676]) ).

fof(f1689,plain,
    ( e2 = e3
    | ~ spl10_22
    | ~ spl10_23 ),
    inference(superposition,[],[f410,f406]) ).

fof(f1690,plain,
    ( e2 = e3
    | ~ spl10_22
    | ~ spl10_23 ),
    inference(superposition,[],[f406,f410]) ).

fof(f1691,plain,
    ( $false
    | ~ spl10_22
    | ~ spl10_23 ),
    inference(forward_subsumption_resolution,[],[f1690,f121]) ).

fof(f1692,plain,
    ( ~ spl10_22
    | ~ spl10_23 ),
    inference(avatar_contradiction_clause,[],[f1691]) ).

fof(f1693,plain,
    ( $false
    | ~ spl10_22
    | ~ spl10_23 ),
    inference(forward_subsumption_resolution,[],[f1689,f121]) ).

fof(f1694,plain,
    ( ~ spl10_22
    | ~ spl10_23 ),
    inference(avatar_contradiction_clause,[],[f1693]) ).

fof(f1695,plain,
    ( e1 = e3
    | ~ spl10_12
    | ~ spl10_14 ),
    inference(forward_demodulation,[],[f364,f372]) ).

fof(f1698,plain,
    ( $false
    | ~ spl10_12
    | ~ spl10_14 ),
    inference(forward_subsumption_resolution,[],[f1695,f123]) ).

fof(f1699,plain,
    ( ~ spl10_12
    | ~ spl10_14 ),
    inference(avatar_contradiction_clause,[],[f1698]) ).

fof(f1701,plain,
    ( e3 = e4
    | ~ spl10_16
    | ~ spl10_17 ),
    inference(superposition,[],[f385,f381]) ).

fof(f1707,plain,
    ( $false
    | ~ spl10_16
    | ~ spl10_17 ),
    inference(forward_subsumption_resolution,[],[f1701,f119]) ).

fof(f1708,plain,
    ( ~ spl10_16
    | ~ spl10_17 ),
    inference(avatar_contradiction_clause,[],[f1707]) ).

fof(f1711,plain,
    ( e1 = e2
    | ~ spl10_23
    | ~ spl10_24 ),
    inference(superposition,[],[f414,f410]) ).

fof(f1715,plain,
    ( $false
    | ~ spl10_23
    | ~ spl10_24 ),
    inference(forward_subsumption_resolution,[],[f1711,f124]) ).

fof(f1716,plain,
    ( ~ spl10_23
    | ~ spl10_24 ),
    inference(avatar_contradiction_clause,[],[f1715]) ).

fof(f1718,plain,
    ( e0 = e1
    | ~ spl10_25
    | ~ spl10_80
    | ~ spl10_134 ),
    inference(forward_demodulation,[],[f1627,f418]) ).

fof(f1719,plain,
    ( $false
    | ~ spl10_25
    | ~ spl10_80
    | ~ spl10_134 ),
    inference(forward_subsumption_resolution,[],[f1718,f128]) ).

fof(f1720,plain,
    ( ~ spl10_25
    | ~ spl10_80
    | ~ spl10_134 ),
    inference(avatar_contradiction_clause,[],[f1719]) ).

fof(f1722,plain,
    ( spl10_24
    | ~ spl10_80
    | ~ spl10_134 ),
    inference(avatar_split_clause,[],[f1627,f926,f647,f412]) ).

fof(f1723,plain,
    ( e1 = e2
    | ~ spl10_13
    | ~ spl10_14 ),
    inference(forward_demodulation,[],[f368,f372]) ).

fof(f1727,plain,
    ( $false
    | ~ spl10_13
    | ~ spl10_14 ),
    inference(forward_subsumption_resolution,[],[f1723,f124]) ).

fof(f1728,plain,
    ( ~ spl10_13
    | ~ spl10_14 ),
    inference(avatar_contradiction_clause,[],[f1727]) ).

fof(f1734,plain,
    ( e1 = op(e4,e4)
    | ~ spl10_76
    | ~ spl10_134 ),
    inference(forward_demodulation,[],[f928,f633]) ).

fof(f1735,plain,
    ( e4 != op(e1,e4)
    | ~ spl10_76
    | spl10_137 ),
    inference(forward_demodulation,[],[f942,f633]) ).

fof(f1739,plain,
    ( $false
    | spl10_4
    | ~ spl10_76
    | ~ spl10_134 ),
    inference(forward_subsumption_resolution,[],[f1734,f329]) ).

fof(f1740,plain,
    ( spl10_4
    | ~ spl10_76
    | ~ spl10_134 ),
    inference(avatar_contradiction_clause,[],[f1739]) ).

fof(f1741,plain,
    ( $false
    | ~ spl10_76
    | spl10_137 ),
    inference(forward_subsumption_resolution,[],[f1735,f633]) ).

fof(f1742,plain,
    ( ~ spl10_76
    | spl10_137 ),
    inference(avatar_contradiction_clause,[],[f1741]) ).

fof(f1762,plain,
    ( e1 = e3
    | ~ spl10_2
    | ~ spl10_4 ),
    inference(superposition,[],[f330,f322]) ).

fof(f1767,plain,
    ( $false
    | ~ spl10_2
    | ~ spl10_4 ),
    inference(forward_subsumption_resolution,[],[f1762,f123]) ).

fof(f1768,plain,
    ( ~ spl10_2
    | ~ spl10_4 ),
    inference(avatar_contradiction_clause,[],[f1767]) ).

fof(f1772,plain,
    ( e0 = e4
    | ~ spl10_6
    | ~ spl10_10 ),
    inference(superposition,[],[f355,f339]) ).

fof(f1776,plain,
    ( $false
    | ~ spl10_6
    | ~ spl10_10 ),
    inference(forward_subsumption_resolution,[],[f1772,f125]) ).

fof(f1777,plain,
    ( ~ spl10_6
    | ~ spl10_10 ),
    inference(avatar_contradiction_clause,[],[f1776]) ).

fof(f1780,plain,
    ( e1 = op(e4,e3)
    | ~ spl10_77
    | ~ spl10_134 ),
    inference(forward_demodulation,[],[f928,f637]) ).

fof(f1782,plain,
    ( e4 != op(e1,e3)
    | ~ spl10_77
    | spl10_137 ),
    inference(forward_demodulation,[],[f942,f637]) ).

fof(f1785,plain,
    ( spl10_9
    | ~ spl10_77
    | ~ spl10_134 ),
    inference(avatar_split_clause,[],[f1780,f926,f635,f349]) ).

fof(f1787,plain,
    ( $false
    | ~ spl10_77
    | ~ spl10_81
    | spl10_137 ),
    inference(forward_subsumption_resolution,[],[f1782,f654]) ).

fof(f1788,plain,
    ( ~ spl10_77
    | ~ spl10_81
    | spl10_137 ),
    inference(avatar_contradiction_clause,[],[f1787]) ).

fof(f1789,plain,
    ( e1 = op(e4,e1)
    | ~ spl10_79
    | ~ spl10_134 ),
    inference(forward_demodulation,[],[f928,f645]) ).

fof(f1792,plain,
    ( spl10_19
    | ~ spl10_79
    | ~ spl10_134 ),
    inference(avatar_split_clause,[],[f1789,f926,f643,f391]) ).

fof(f1801,plain,
    ( e1 = e4
    | ~ spl10_6
    | ~ spl10_9 ),
    inference(superposition,[],[f351,f339]) ).

fof(f1805,plain,
    ( $false
    | ~ spl10_6
    | ~ spl10_9 ),
    inference(forward_subsumption_resolution,[],[f1801,f122]) ).

fof(f1806,plain,
    ( ~ spl10_6
    | ~ spl10_9 ),
    inference(avatar_contradiction_clause,[],[f1805]) ).

fof(f1810,plain,
    ( e3 = op(e4,e4)
    | ~ spl10_26
    | ~ spl10_169 ),
    inference(forward_demodulation,[],[f1130,f423]) ).

fof(f1811,plain,
    ( e4 != op(e3,e4)
    | ~ spl10_26
    | spl10_170 ),
    inference(forward_demodulation,[],[f1135,f423]) ).

fof(f1815,plain,
    ( $false
    | ~ spl10_26
    | spl10_170 ),
    inference(forward_subsumption_resolution,[],[f1811,f423]) ).

fof(f1816,plain,
    ( ~ spl10_26
    | spl10_170 ),
    inference(avatar_contradiction_clause,[],[f1815]) ).

fof(f1819,plain,
    ( e0 = e3
    | ~ spl10_22
    | ~ spl10_25 ),
    inference(forward_demodulation,[],[f406,f418]) ).

fof(f1831,plain,
    ( $false
    | spl10_6
    | ~ spl10_127 ),
    inference(forward_subsumption_resolution,[],[f1639,f338]) ).

fof(f1832,plain,
    ( spl10_6
    | ~ spl10_127 ),
    inference(avatar_contradiction_clause,[],[f1831]) ).

fof(f1836,plain,
    ( spl10_2
    | ~ spl10_26
    | ~ spl10_169 ),
    inference(avatar_split_clause,[],[f1810,f1128,f421,f320]) ).

fof(f1837,plain,
    ( $false
    | ~ spl10_22
    | ~ spl10_25 ),
    inference(forward_subsumption_resolution,[],[f1819,f126]) ).

fof(f1838,plain,
    ( ~ spl10_22
    | ~ spl10_25 ),
    inference(avatar_contradiction_clause,[],[f1837]) ).

fof(f1845,plain,
    ( e0 = op(e4,e1)
    | ~ spl10_104
    | ~ spl10_135 ),
    inference(forward_demodulation,[],[f932,f750]) ).

fof(f1861,plain,
    ( op(e0,e0) != e4
    | ~ spl10_105
    | spl10_138 ),
    inference(forward_demodulation,[],[f948,f754]) ).

fof(f1862,plain,
    ( e0 = op(e4,e0)
    | ~ spl10_105
    | ~ spl10_135 ),
    inference(forward_demodulation,[],[f932,f754]) ).

fof(f1863,plain,
    ( $false
    | ~ spl10_105
    | ~ spl10_121
    | spl10_138 ),
    inference(forward_subsumption_resolution,[],[f1861,f822]) ).

fof(f1864,plain,
    ( ~ spl10_105
    | ~ spl10_121
    | spl10_138 ),
    inference(avatar_contradiction_clause,[],[f1863]) ).

fof(f1865,plain,
    ( $false
    | spl10_25
    | ~ spl10_105
    | ~ spl10_135 ),
    inference(forward_subsumption_resolution,[],[f1862,f417]) ).

fof(f1866,plain,
    ( spl10_25
    | ~ spl10_105
    | ~ spl10_135 ),
    inference(avatar_contradiction_clause,[],[f1865]) ).

fof(f1868,plain,
    ( e0 != op(e4,e0)
    | ~ spl10_105
    | spl10_135 ),
    inference(forward_demodulation,[],[f931,f754]) ).

fof(f1869,plain,
    ( op(e0,e0) = e4
    | ~ spl10_105
    | ~ spl10_138 ),
    inference(forward_demodulation,[],[f947,f754]) ).

fof(f1870,plain,
    ( e3 = op(e4,e3)
    | ~ spl10_27
    | ~ spl10_169 ),
    inference(forward_demodulation,[],[f1130,f427]) ).

fof(f1871,plain,
    ( e4 != op(e3,e3)
    | ~ spl10_27
    | spl10_170 ),
    inference(forward_demodulation,[],[f1135,f427]) ).

fof(f1874,plain,
    ( e3 = e4
    | ~ spl10_27
    | ~ spl10_127 ),
    inference(forward_demodulation,[],[f1640,f427]) ).

fof(f1875,plain,
    ( spl10_7
    | ~ spl10_27
    | ~ spl10_169 ),
    inference(avatar_split_clause,[],[f1870,f1128,f425,f341]) ).

fof(f1878,plain,
    ( $false
    | ~ spl10_27
    | ~ spl10_127 ),
    inference(forward_subsumption_resolution,[],[f1874,f119]) ).

fof(f1879,plain,
    ( ~ spl10_27
    | ~ spl10_127 ),
    inference(avatar_contradiction_clause,[],[f1878]) ).

fof(f1884,plain,
    ( e3 = op(e4,e0)
    | ~ spl10_30
    | ~ spl10_169 ),
    inference(forward_demodulation,[],[f1130,f439]) ).

fof(f1887,plain,
    ( e0 = e4
    | ~ spl10_30
    | ~ spl10_127 ),
    inference(forward_demodulation,[],[f1640,f439]) ).

fof(f1890,plain,
    ( $false
    | ~ spl10_30
    | ~ spl10_127 ),
    inference(forward_subsumption_resolution,[],[f1887,f125]) ).

fof(f1891,plain,
    ( ~ spl10_30
    | ~ spl10_127 ),
    inference(avatar_contradiction_clause,[],[f1890]) ).

fof(f1894,plain,
    ( e3 = op(e4,e2)
    | ~ spl10_28
    | ~ spl10_169 ),
    inference(forward_demodulation,[],[f1130,f431]) ).

fof(f1896,plain,
    ( e2 = e4
    | ~ spl10_28
    | ~ spl10_127 ),
    inference(forward_demodulation,[],[f1640,f431]) ).

fof(f1897,plain,
    ( e1 = e3
    | ~ spl10_14
    | ~ spl10_28
    | ~ spl10_169 ),
    inference(forward_demodulation,[],[f1894,f372]) ).

fof(f1899,plain,
    ( $false
    | ~ spl10_28
    | ~ spl10_127 ),
    inference(forward_subsumption_resolution,[],[f1896,f120]) ).

fof(f1900,plain,
    ( ~ spl10_28
    | ~ spl10_127 ),
    inference(avatar_contradiction_clause,[],[f1899]) ).

fof(f1901,plain,
    ( $false
    | ~ spl10_14
    | ~ spl10_28
    | ~ spl10_169 ),
    inference(forward_subsumption_resolution,[],[f1897,f123]) ).

fof(f1902,plain,
    ( ~ spl10_14
    | ~ spl10_28
    | ~ spl10_169 ),
    inference(avatar_contradiction_clause,[],[f1901]) ).

fof(f1905,plain,
    ( e3 = op(e4,e1)
    | ~ spl10_29
    | ~ spl10_169 ),
    inference(forward_demodulation,[],[f1130,f435]) ).

fof(f1906,plain,
    ( e4 != op(e3,e1)
    | ~ spl10_29
    | spl10_170 ),
    inference(forward_demodulation,[],[f1135,f435]) ).

fof(f1907,plain,
    ( e1 = e4
    | ~ spl10_29
    | ~ spl10_127 ),
    inference(forward_demodulation,[],[f1640,f435]) ).

fof(f1908,plain,
    ( e2 = e3
    | ~ spl10_18
    | ~ spl10_29
    | ~ spl10_169 ),
    inference(forward_demodulation,[],[f1905,f389]) ).

fof(f1910,plain,
    ( $false
    | ~ spl10_29
    | ~ spl10_127 ),
    inference(forward_subsumption_resolution,[],[f1907,f122]) ).

fof(f1911,plain,
    ( ~ spl10_29
    | ~ spl10_127 ),
    inference(avatar_contradiction_clause,[],[f1910]) ).

fof(f1912,plain,
    ( $false
    | ~ spl10_18
    | ~ spl10_29
    | ~ spl10_169 ),
    inference(forward_subsumption_resolution,[],[f1908,f121]) ).

fof(f1913,plain,
    ( ~ spl10_18
    | ~ spl10_29
    | ~ spl10_169 ),
    inference(avatar_contradiction_clause,[],[f1912]) ).

fof(f1936,plain,
    ( e2 = e4
    | ~ spl10_41
    | ~ spl10_43 ),
    inference(forward_demodulation,[],[f486,f494]) ).

fof(f1937,plain,
    ( $false
    | ~ spl10_41
    | ~ spl10_43 ),
    inference(forward_subsumption_resolution,[],[f1936,f120]) ).

fof(f1938,plain,
    ( ~ spl10_41
    | ~ spl10_43 ),
    inference(avatar_contradiction_clause,[],[f1937]) ).

fof(f1942,plain,
    ( e1 = e4
    | ~ spl10_41
    | ~ spl10_44 ),
    inference(forward_demodulation,[],[f486,f498]) ).

fof(f1943,plain,
    ( $false
    | ~ spl10_41
    | ~ spl10_44 ),
    inference(forward_subsumption_resolution,[],[f1942,f122]) ).

fof(f1944,plain,
    ( ~ spl10_41
    | ~ spl10_44 ),
    inference(avatar_contradiction_clause,[],[f1943]) ).

fof(f1947,plain,
    ( e0 = e4
    | ~ spl10_116
    | ~ spl10_120 ),
    inference(forward_demodulation,[],[f801,f817]) ).

fof(f1950,plain,
    ( e0 = op(e4,e2)
    | ~ spl10_103
    | ~ spl10_135 ),
    inference(forward_demodulation,[],[f932,f746]) ).

fof(f1953,plain,
    ( $false
    | ~ spl10_116
    | ~ spl10_120 ),
    inference(forward_subsumption_resolution,[],[f1947,f125]) ).

fof(f1954,plain,
    ( ~ spl10_116
    | ~ spl10_120 ),
    inference(avatar_contradiction_clause,[],[f1953]) ).

fof(f1956,plain,
    ( spl10_15
    | ~ spl10_103
    | ~ spl10_135 ),
    inference(avatar_split_clause,[],[f1950,f930,f744,f374]) ).

fof(f1962,plain,
    ( e0 = op(e4,e4)
    | ~ spl10_101
    | ~ spl10_135 ),
    inference(forward_demodulation,[],[f932,f738]) ).

fof(f1963,plain,
    ( e4 != op(e0,e4)
    | ~ spl10_101
    | spl10_138 ),
    inference(forward_demodulation,[],[f948,f738]) ).

fof(f1965,plain,
    ( spl10_5
    | ~ spl10_101
    | ~ spl10_135 ),
    inference(avatar_split_clause,[],[f1962,f930,f736,f332]) ).

fof(f1966,plain,
    ( $false
    | ~ spl10_101
    | spl10_138 ),
    inference(forward_subsumption_resolution,[],[f1963,f738]) ).

fof(f1967,plain,
    ( ~ spl10_101
    | spl10_138 ),
    inference(avatar_contradiction_clause,[],[f1966]) ).

fof(f1970,plain,
    ( e3 = e4
    | ~ spl10_66
    | ~ spl10_67 ),
    inference(forward_demodulation,[],[f591,f595]) ).

fof(f1974,plain,
    ( e2 = e4
    | ~ spl10_81
    | ~ spl10_83 ),
    inference(forward_demodulation,[],[f654,f662]) ).

fof(f1998,plain,
    ( $false
    | ~ spl10_66
    | ~ spl10_67 ),
    inference(forward_subsumption_resolution,[],[f1970,f119]) ).

fof(f1999,plain,
    ( ~ spl10_66
    | ~ spl10_67 ),
    inference(avatar_contradiction_clause,[],[f1998]) ).

fof(f2000,plain,
    ( $false
    | ~ spl10_81
    | ~ spl10_83 ),
    inference(forward_subsumption_resolution,[],[f1974,f120]) ).

fof(f2001,plain,
    ( ~ spl10_81
    | ~ spl10_83 ),
    inference(avatar_contradiction_clause,[],[f2000]) ).

fof(f2013,plain,
    ( e1 = e4
    | ~ spl10_96
    | ~ spl10_99 ),
    inference(forward_demodulation,[],[f717,f729]) ).

fof(f2015,plain,
    ( e1 = e2
    | ~ spl10_113
    | ~ spl10_114 ),
    inference(forward_demodulation,[],[f788,f792]) ).

fof(f2016,plain,
    ( e4 = op(e1,e0)
    | ~ spl10_80
    | ~ spl10_137 ),
    inference(forward_demodulation,[],[f941,f649]) ).

fof(f2019,plain,
    ( e1 != op(e0,e1)
    | ~ spl10_119
    | spl10_160 ),
    inference(forward_demodulation,[],[f1060,f813]) ).

fof(f2026,plain,
    ( e0 = e4
    | ~ spl10_106
    | ~ spl10_110 ),
    inference(forward_demodulation,[],[f759,f775]) ).

fof(f2029,plain,
    ( $false
    | ~ spl10_96
    | ~ spl10_99 ),
    inference(forward_subsumption_resolution,[],[f2013,f122]) ).

fof(f2030,plain,
    ( ~ spl10_96
    | ~ spl10_99 ),
    inference(avatar_contradiction_clause,[],[f2029]) ).

fof(f2031,plain,
    ( $false
    | ~ spl10_113
    | ~ spl10_114 ),
    inference(forward_subsumption_resolution,[],[f2015,f124]) ).

fof(f2032,plain,
    ( ~ spl10_113
    | ~ spl10_114 ),
    inference(avatar_contradiction_clause,[],[f2031]) ).

fof(f2033,plain,
    ( e1 = e4
    | ~ spl10_80
    | ~ spl10_99
    | ~ spl10_137 ),
    inference(forward_demodulation,[],[f2016,f729]) ).

fof(f2036,plain,
    ( $false
    | ~ spl10_119
    | spl10_160 ),
    inference(forward_subsumption_resolution,[],[f2019,f813]) ).

fof(f2037,plain,
    ( ~ spl10_119
    | spl10_160 ),
    inference(avatar_contradiction_clause,[],[f2036]) ).

fof(f2041,plain,
    ( $false
    | ~ spl10_106
    | ~ spl10_110 ),
    inference(forward_subsumption_resolution,[],[f2026,f125]) ).

fof(f2042,plain,
    ( ~ spl10_106
    | ~ spl10_110 ),
    inference(avatar_contradiction_clause,[],[f2041]) ).

fof(f2045,plain,
    ( $false
    | ~ spl10_80
    | ~ spl10_99
    | ~ spl10_137 ),
    inference(forward_subsumption_resolution,[],[f2033,f122]) ).

fof(f2046,plain,
    ( ~ spl10_80
    | ~ spl10_99
    | ~ spl10_137 ),
    inference(avatar_contradiction_clause,[],[f2045]) ).

fof(f2050,plain,
    ( e1 = e2
    | ~ spl10_73
    | ~ spl10_74 ),
    inference(forward_demodulation,[],[f620,f624]) ).

fof(f2054,plain,
    ( e0 = e2
    | ~ spl10_108
    | ~ spl10_110 ),
    inference(forward_demodulation,[],[f767,f775]) ).

fof(f2063,plain,
    ( $false
    | ~ spl10_73
    | ~ spl10_74 ),
    inference(forward_subsumption_resolution,[],[f2050,f124]) ).

fof(f2064,plain,
    ( ~ spl10_73
    | ~ spl10_74 ),
    inference(avatar_contradiction_clause,[],[f2063]) ).

fof(f2065,plain,
    ( $false
    | ~ spl10_108
    | ~ spl10_110 ),
    inference(forward_subsumption_resolution,[],[f2054,f127]) ).

fof(f2066,plain,
    ( ~ spl10_108
    | ~ spl10_110 ),
    inference(avatar_contradiction_clause,[],[f2065]) ).

fof(f2091,plain,
    ( e1 = op(e2,e4)
    | ~ spl10_66
    | ~ spl10_159 ),
    inference(forward_demodulation,[],[f1052,f591]) ).

fof(f2115,plain,
    ( $false
    | ~ spl10_70
    | ~ spl10_74
    | spl10_166 ),
    inference(forward_subsumption_resolution,[],[f1236,f607]) ).

fof(f2116,plain,
    ( ~ spl10_70
    | ~ spl10_74
    | spl10_166 ),
    inference(avatar_contradiction_clause,[],[f2115]) ).

fof(f2129,plain,
    ( e0 = e2
    | ~ spl10_18
    | ~ spl10_20 ),
    inference(superposition,[],[f397,f389]) ).

fof(f2130,plain,
    ( e0 = e2
    | ~ spl10_18
    | ~ spl10_20 ),
    inference(superposition,[],[f389,f397]) ).

fof(f2132,plain,
    ( $false
    | ~ spl10_18
    | ~ spl10_20 ),
    inference(forward_subsumption_resolution,[],[f2130,f127]) ).

fof(f2133,plain,
    ( ~ spl10_18
    | ~ spl10_20 ),
    inference(avatar_contradiction_clause,[],[f2132]) ).

fof(f2134,plain,
    ( $false
    | ~ spl10_18
    | ~ spl10_20 ),
    inference(forward_subsumption_resolution,[],[f2129,f127]) ).

fof(f2135,plain,
    ( ~ spl10_18
    | ~ spl10_20 ),
    inference(avatar_contradiction_clause,[],[f2134]) ).

fof(f2141,plain,
    ( e0 != op(e4,e4)
    | ~ spl10_21
    | spl10_183 ),
    inference(forward_demodulation,[],[f1201,f402]) ).

fof(f2143,plain,
    ( spl10_20
    | ~ spl10_104
    | ~ spl10_135 ),
    inference(avatar_split_clause,[],[f1845,f930,f748,f395]) ).

fof(f2149,plain,
    ( $false
    | ~ spl10_5
    | ~ spl10_21
    | spl10_183 ),
    inference(forward_subsumption_resolution,[],[f2141,f334]) ).

fof(f2150,plain,
    ( ~ spl10_5
    | ~ spl10_21
    | spl10_183 ),
    inference(avatar_contradiction_clause,[],[f2149]) ).

fof(f2157,plain,
    ( e4 != op(e1,e1)
    | ~ spl10_79
    | spl10_137 ),
    inference(forward_demodulation,[],[f942,f645]) ).

fof(f2163,plain,
    ( e0 = op(e4,e4)
    | ~ spl10_21
    | ~ spl10_183 ),
    inference(forward_demodulation,[],[f1200,f402]) ).

fof(f2165,plain,
    ( e4 != op(e0,e2)
    | ~ spl10_103
    | spl10_138 ),
    inference(forward_demodulation,[],[f948,f746]) ).

fof(f2172,plain,
    ( $false
    | ~ spl10_103
    | ~ spl10_111
    | spl10_138 ),
    inference(forward_subsumption_resolution,[],[f2165,f780]) ).

fof(f2173,plain,
    ( ~ spl10_103
    | ~ spl10_111
    | spl10_138 ),
    inference(avatar_contradiction_clause,[],[f2172]) ).

fof(f2193,plain,
    ( e1 = op(e0,e2)
    | ~ spl10_118
    | ~ spl10_160 ),
    inference(forward_demodulation,[],[f1059,f809]) ).

fof(f2205,plain,
    ( $false
    | spl10_114
    | ~ spl10_118
    | ~ spl10_160 ),
    inference(forward_subsumption_resolution,[],[f2193,f791]) ).

fof(f2206,plain,
    ( spl10_114
    | ~ spl10_118
    | ~ spl10_160 ),
    inference(avatar_contradiction_clause,[],[f2205]) ).

fof(f2242,plain,
    ( e1 = e3
    | ~ spl10_97
    | ~ spl10_99 ),
    inference(forward_demodulation,[],[f721,f729]) ).

fof(f2248,plain,
    ( e2 != op(e0,e2)
    | ~ spl10_73
    | spl10_163 ),
    inference(forward_demodulation,[],[f1075,f620]) ).

fof(f2254,plain,
    ( $false
    | ~ spl10_97
    | ~ spl10_99 ),
    inference(forward_subsumption_resolution,[],[f2242,f123]) ).

fof(f2255,plain,
    ( ~ spl10_97
    | ~ spl10_99 ),
    inference(avatar_contradiction_clause,[],[f2254]) ).

fof(f2261,plain,
    ( e0 = e3
    | ~ spl10_67
    | ~ spl10_70 ),
    inference(forward_demodulation,[],[f595,f607]) ).

fof(f2263,plain,
    ( e0 = e1
    | ~ spl10_69
    | ~ spl10_70 ),
    inference(forward_demodulation,[],[f603,f607]) ).

fof(f2281,plain,
    ( $false
    | ~ spl10_67
    | ~ spl10_70 ),
    inference(forward_subsumption_resolution,[],[f2261,f126]) ).

fof(f2282,plain,
    ( ~ spl10_67
    | ~ spl10_70 ),
    inference(avatar_contradiction_clause,[],[f2281]) ).

fof(f2283,plain,
    ( $false
    | ~ spl10_69
    | ~ spl10_70 ),
    inference(forward_subsumption_resolution,[],[f2263,f128]) ).

fof(f2284,plain,
    ( ~ spl10_69
    | ~ spl10_70 ),
    inference(avatar_contradiction_clause,[],[f2283]) ).

fof(f2294,plain,
    ( e2 = e3
    | ~ spl10_17
    | ~ spl10_18 ),
    inference(forward_demodulation,[],[f385,f389]) ).

fof(f2297,plain,
    ( ~ spl10_113
    | ~ spl10_73
    | spl10_163 ),
    inference(avatar_split_clause,[],[f2248,f1074,f618,f786]) ).

fof(f2303,plain,
    ( e4 = op(e0,e2)
    | ~ spl10_103
    | ~ spl10_138 ),
    inference(forward_demodulation,[],[f947,f746]) ).

fof(f2306,plain,
    ( e2 = op(e0,e4)
    | ~ spl10_111
    | ~ spl10_153 ),
    inference(forward_demodulation,[],[f1023,f780]) ).

fof(f2308,plain,
    ( ~ spl10_93
    | ~ spl10_89
    | spl10_152 ),
    inference(avatar_split_clause,[],[f1556,f1016,f685,f702]) ).

fof(f2315,plain,
    ( $false
    | ~ spl10_17
    | ~ spl10_18 ),
    inference(forward_subsumption_resolution,[],[f2294,f121]) ).

fof(f2316,plain,
    ( ~ spl10_17
    | ~ spl10_18 ),
    inference(avatar_contradiction_clause,[],[f2315]) ).

fof(f2319,plain,
    ( e1 = e2
    | ~ spl10_83
    | ~ spl10_84 ),
    inference(forward_demodulation,[],[f662,f666]) ).

fof(f2326,plain,
    ( $false
    | ~ spl10_79
    | ~ spl10_91
    | spl10_137 ),
    inference(forward_subsumption_resolution,[],[f2157,f696]) ).

fof(f2327,plain,
    ( ~ spl10_79
    | ~ spl10_91
    | spl10_137 ),
    inference(avatar_contradiction_clause,[],[f2326]) ).

fof(f2328,plain,
    ( $false
    | ~ spl10_83
    | ~ spl10_84 ),
    inference(forward_subsumption_resolution,[],[f2319,f124]) ).

fof(f2329,plain,
    ( ~ spl10_83
    | ~ spl10_84 ),
    inference(avatar_contradiction_clause,[],[f2328]) ).

fof(f2332,plain,
    ( e1 = e2
    | ~ spl10_78
    | ~ spl10_79 ),
    inference(forward_demodulation,[],[f641,f645]) ).

fof(f2333,plain,
    ( e1 = e4
    | ~ spl10_81
    | ~ spl10_84 ),
    inference(forward_demodulation,[],[f654,f666]) ).

fof(f2349,plain,
    ( $false
    | ~ spl10_78
    | ~ spl10_79 ),
    inference(forward_subsumption_resolution,[],[f2332,f124]) ).

fof(f2350,plain,
    ( ~ spl10_78
    | ~ spl10_79 ),
    inference(avatar_contradiction_clause,[],[f2349]) ).

fof(f2351,plain,
    ( $false
    | ~ spl10_81
    | ~ spl10_84 ),
    inference(forward_subsumption_resolution,[],[f2333,f122]) ).

fof(f2352,plain,
    ( ~ spl10_81
    | ~ spl10_84 ),
    inference(avatar_contradiction_clause,[],[f2351]) ).

fof(f2357,plain,
    ( e3 = e4
    | ~ spl10_51
    | ~ spl10_52 ),
    inference(forward_demodulation,[],[f528,f532]) ).

fof(f2361,plain,
    ( e0 = e2
    | ~ spl10_83
    | ~ spl10_85 ),
    inference(forward_demodulation,[],[f662,f670]) ).

fof(f2364,plain,
    ( $false
    | ~ spl10_25
    | ~ spl10_105
    | spl10_135 ),
    inference(forward_subsumption_resolution,[],[f1868,f418]) ).

fof(f2365,plain,
    ( ~ spl10_25
    | ~ spl10_105
    | spl10_135 ),
    inference(avatar_contradiction_clause,[],[f2364]) ).

fof(f2383,plain,
    ( spl10_5
    | ~ spl10_21
    | ~ spl10_183 ),
    inference(avatar_split_clause,[],[f2163,f1199,f400,f332]) ).

fof(f2384,plain,
    ( $false
    | ~ spl10_51
    | ~ spl10_52 ),
    inference(forward_subsumption_resolution,[],[f2357,f119]) ).

fof(f2385,plain,
    ( ~ spl10_51
    | ~ spl10_52 ),
    inference(avatar_contradiction_clause,[],[f2384]) ).

fof(f2386,plain,
    ( $false
    | ~ spl10_83
    | ~ spl10_85 ),
    inference(forward_subsumption_resolution,[],[f2361,f127]) ).

fof(f2387,plain,
    ( ~ spl10_83
    | ~ spl10_85 ),
    inference(avatar_contradiction_clause,[],[f2386]) ).

fof(f2408,plain,
    ( e0 = e1
    | ~ spl10_84
    | ~ spl10_85 ),
    inference(forward_demodulation,[],[f666,f670]) ).

fof(f2413,plain,
    ( e0 = e3
    | ~ spl10_107
    | ~ spl10_110 ),
    inference(forward_demodulation,[],[f763,f775]) ).

fof(f2415,plain,
    ( e0 != op(e2,e2)
    | ~ spl10_73
    | spl10_166 ),
    inference(forward_demodulation,[],[f1089,f620]) ).

fof(f2426,plain,
    ( e1 = e4
    | ~ spl10_105
    | ~ spl10_124
    | ~ spl10_138 ),
    inference(forward_demodulation,[],[f1869,f834]) ).

fof(f2449,plain,
    ( $false
    | ~ spl10_84
    | ~ spl10_85 ),
    inference(forward_subsumption_resolution,[],[f2408,f128]) ).

fof(f2450,plain,
    ( ~ spl10_84
    | ~ spl10_85 ),
    inference(avatar_contradiction_clause,[],[f2449]) ).

fof(f2455,plain,
    ( $false
    | ~ spl10_107
    | ~ spl10_110 ),
    inference(forward_subsumption_resolution,[],[f2413,f126]) ).

fof(f2456,plain,
    ( ~ spl10_107
    | ~ spl10_110 ),
    inference(avatar_contradiction_clause,[],[f2455]) ).

fof(f2457,plain,
    ( $false
    | ~ spl10_65
    | ~ spl10_73
    | spl10_166 ),
    inference(forward_subsumption_resolution,[],[f2415,f586]) ).

fof(f2458,plain,
    ( ~ spl10_65
    | ~ spl10_73
    | spl10_166 ),
    inference(avatar_contradiction_clause,[],[f2457]) ).

fof(f2459,plain,
    ( $false
    | ~ spl10_105
    | ~ spl10_124
    | ~ spl10_138 ),
    inference(forward_subsumption_resolution,[],[f2426,f122]) ).

fof(f2460,plain,
    ( ~ spl10_105
    | ~ spl10_124
    | ~ spl10_138 ),
    inference(avatar_contradiction_clause,[],[f2459]) ).

fof(f2528,plain,
    ( e0 = e3
    | ~ spl10_47
    | ~ spl10_50 ),
    inference(forward_demodulation,[],[f511,f523]) ).

fof(f2529,plain,
    ( e0 = e1
    | ~ spl10_49
    | ~ spl10_50 ),
    inference(forward_demodulation,[],[f519,f523]) ).

fof(f2540,plain,
    ( e3 != op(e1,e2)
    | ~ spl10_83
    | spl10_145 ),
    inference(forward_demodulation,[],[f982,f662]) ).

fof(f2547,plain,
    ( e2 != op(e1,e3)
    | ~ spl10_87
    | spl10_152 ),
    inference(forward_demodulation,[],[f1018,f679]) ).

fof(f2557,plain,
    ( $false
    | ~ spl10_47
    | ~ spl10_50 ),
    inference(forward_subsumption_resolution,[],[f2528,f126]) ).

fof(f2558,plain,
    ( ~ spl10_47
    | ~ spl10_50 ),
    inference(avatar_contradiction_clause,[],[f2557]) ).

fof(f2559,plain,
    ( $false
    | ~ spl10_49
    | ~ spl10_50 ),
    inference(forward_subsumption_resolution,[],[f2529,f128]) ).

fof(f2560,plain,
    ( ~ spl10_49
    | ~ spl10_50 ),
    inference(avatar_contradiction_clause,[],[f2559]) ).

fof(f2565,plain,
    ( $false
    | ~ spl10_83
    | ~ spl10_87
    | spl10_145 ),
    inference(forward_subsumption_resolution,[],[f2540,f679]) ).

fof(f2566,plain,
    ( ~ spl10_83
    | ~ spl10_87
    | spl10_145 ),
    inference(avatar_contradiction_clause,[],[f2565]) ).

fof(f2567,plain,
    ( $false
    | ~ spl10_83
    | ~ spl10_87
    | spl10_152 ),
    inference(forward_subsumption_resolution,[],[f2547,f662]) ).

fof(f2568,plain,
    ( ~ spl10_83
    | ~ spl10_87
    | spl10_152 ),
    inference(avatar_contradiction_clause,[],[f2567]) ).

fof(f2574,plain,
    ( e2 = e4
    | ~ spl10_56
    | ~ spl10_58 ),
    inference(forward_demodulation,[],[f549,f557]) ).

fof(f2575,plain,
    ( $false
    | spl10_28
    | ~ spl10_56
    | ~ spl10_141 ),
    inference(forward_subsumption_resolution,[],[f1227,f430]) ).

fof(f2576,plain,
    ( spl10_28
    | ~ spl10_56
    | ~ spl10_141 ),
    inference(avatar_contradiction_clause,[],[f2575]) ).

fof(f2577,plain,
    ( e1 = e3
    | ~ spl10_77
    | ~ spl10_79 ),
    inference(forward_demodulation,[],[f637,f645]) ).

fof(f2586,plain,
    ( e2 != op(e4,e1)
    | ~ spl10_14
    | spl10_175 ),
    inference(forward_demodulation,[],[f1161,f372]) ).

fof(f2590,plain,
    ( $false
    | spl10_103
    | ~ spl10_111
    | ~ spl10_153 ),
    inference(forward_subsumption_resolution,[],[f2306,f745]) ).

fof(f2591,plain,
    ( spl10_103
    | ~ spl10_111
    | ~ spl10_153 ),
    inference(avatar_contradiction_clause,[],[f2590]) ).

fof(f2602,plain,
    ( $false
    | ~ spl10_56
    | ~ spl10_58 ),
    inference(forward_subsumption_resolution,[],[f2574,f120]) ).

fof(f2603,plain,
    ( ~ spl10_56
    | ~ spl10_58 ),
    inference(avatar_contradiction_clause,[],[f2602]) ).

fof(f2604,plain,
    ( $false
    | ~ spl10_77
    | ~ spl10_79 ),
    inference(forward_subsumption_resolution,[],[f2577,f123]) ).

fof(f2605,plain,
    ( ~ spl10_77
    | ~ spl10_79 ),
    inference(avatar_contradiction_clause,[],[f2604]) ).

fof(f2612,plain,
    ( $false
    | ~ spl10_14
    | ~ spl10_18
    | spl10_175 ),
    inference(forward_subsumption_resolution,[],[f2586,f389]) ).

fof(f2613,plain,
    ( ~ spl10_14
    | ~ spl10_18
    | spl10_175 ),
    inference(avatar_contradiction_clause,[],[f2612]) ).

fof(f2630,plain,
    ( e2 = op(e1,e4)
    | ~ spl10_86
    | ~ spl10_152 ),
    inference(forward_demodulation,[],[f1017,f675]) ).

fof(f2636,plain,
    ( e2 = op(e4,e1)
    | ~ spl10_14
    | ~ spl10_175 ),
    inference(forward_demodulation,[],[f1160,f372]) ).

fof(f2653,plain,
    ( $false
    | spl10_78
    | ~ spl10_86
    | ~ spl10_152 ),
    inference(forward_subsumption_resolution,[],[f2630,f640]) ).

fof(f2654,plain,
    ( spl10_78
    | ~ spl10_86
    | ~ spl10_152 ),
    inference(avatar_contradiction_clause,[],[f2653]) ).

fof(f2720,plain,
    ( e3 != op(e4,e3)
    | ~ spl10_7
    | spl10_172 ),
    inference(forward_demodulation,[],[f1145,f343]) ).

fof(f2733,plain,
    ( e3 = op(e2,e1)
    | ~ spl10_59
    | ~ spl10_144 ),
    inference(forward_demodulation,[],[f976,f561]) ).

fof(f2738,plain,
    ( e3 = op(e1,e0)
    | ~ spl10_45
    | ~ spl10_180 ),
    inference(forward_demodulation,[],[f1186,f502]) ).

fof(f2742,plain,
    ( $false
    | ~ spl10_7
    | spl10_172 ),
    inference(forward_subsumption_resolution,[],[f2720,f343]) ).

fof(f2743,plain,
    ( ~ spl10_7
    | spl10_172 ),
    inference(avatar_contradiction_clause,[],[f2742]) ).

fof(f2759,plain,
    ( e1 = e2
    | ~ spl10_58
    | ~ spl10_59 ),
    inference(forward_demodulation,[],[f557,f561]) ).

fof(f2765,plain,
    ( e2 != op(e3,e2)
    | ~ spl10_38
    | spl10_177 ),
    inference(forward_demodulation,[],[f1171,f473]) ).

fof(f2768,plain,
    ( $false
    | ~ spl10_58
    | ~ spl10_59 ),
    inference(forward_subsumption_resolution,[],[f2759,f124]) ).

fof(f2769,plain,
    ( ~ spl10_58
    | ~ spl10_59 ),
    inference(avatar_contradiction_clause,[],[f2768]) ).

fof(f2771,plain,
    ( $false
    | ~ spl10_38
    | spl10_177 ),
    inference(forward_subsumption_resolution,[],[f2765,f473]) ).

fof(f2772,plain,
    ( ~ spl10_38
    | spl10_177 ),
    inference(avatar_contradiction_clause,[],[f2771]) ).

fof(f2779,plain,
    ( e0 = op(e2,e4)
    | ~ spl10_111
    | ~ spl10_151 ),
    inference(forward_demodulation,[],[f1012,f780]) ).

fof(f2792,plain,
    ( e2 = op(e4,e2)
    | ~ spl10_126 ),
    inference(superposition,[],[f285,f843]) ).

fof(f2800,plain,
    ( e1 = e2
    | ~ spl10_14
    | ~ spl10_126 ),
    inference(forward_demodulation,[],[f2792,f372]) ).

fof(f2801,plain,
    ( $false
    | ~ spl10_14
    | ~ spl10_126 ),
    inference(forward_subsumption_resolution,[],[f2800,f124]) ).

fof(f2802,plain,
    ( ~ spl10_14
    | ~ spl10_126 ),
    inference(avatar_contradiction_clause,[],[f2801]) ).

fof(f2804,plain,
    ( e1 = e3
    | ~ spl10_17
    | ~ spl10_19 ),
    inference(forward_demodulation,[],[f385,f393]) ).

fof(f2808,plain,
    ( e0 = e4
    | ~ spl10_41
    | ~ spl10_45 ),
    inference(forward_demodulation,[],[f486,f502]) ).

fof(f2832,plain,
    ( $false
    | ~ spl10_59
    | spl10_67
    | ~ spl10_144 ),
    inference(forward_subsumption_resolution,[],[f2733,f594]) ).

fof(f2833,plain,
    ( ~ spl10_59
    | spl10_67
    | ~ spl10_144 ),
    inference(avatar_contradiction_clause,[],[f2832]) ).

fof(f2836,plain,
    ( e1 = e2
    | ~ spl10_14
    | ~ spl10_19
    | ~ spl10_175 ),
    inference(forward_demodulation,[],[f2636,f393]) ).

fof(f2840,plain,
    ( $false
    | ~ spl10_17
    | ~ spl10_19 ),
    inference(forward_subsumption_resolution,[],[f2804,f123]) ).

fof(f2841,plain,
    ( ~ spl10_17
    | ~ spl10_19 ),
    inference(avatar_contradiction_clause,[],[f2840]) ).

fof(f2844,plain,
    ( $false
    | ~ spl10_41
    | ~ spl10_45 ),
    inference(forward_subsumption_resolution,[],[f2808,f125]) ).

fof(f2845,plain,
    ( ~ spl10_41
    | ~ spl10_45 ),
    inference(avatar_contradiction_clause,[],[f2844]) ).

fof(f2850,plain,
    ( $false
    | ~ spl10_14
    | ~ spl10_19
    | ~ spl10_175 ),
    inference(forward_subsumption_resolution,[],[f2836,f124]) ).

fof(f2851,plain,
    ( ~ spl10_14
    | ~ spl10_19
    | ~ spl10_175 ),
    inference(avatar_contradiction_clause,[],[f2850]) ).

fof(f2857,plain,
    ( e3 = e4
    | ~ spl10_36
    | ~ spl10_37 ),
    inference(forward_demodulation,[],[f465,f469]) ).

fof(f2864,plain,
    ( e2 = e4
    | ~ spl10_66
    | ~ spl10_68 ),
    inference(forward_demodulation,[],[f591,f599]) ).

fof(f2869,plain,
    ( spl10_54
    | ~ spl10_66
    | ~ spl10_159 ),
    inference(avatar_split_clause,[],[f2091,f1051,f589,f538]) ).

fof(f2875,plain,
    ( spl10_55
    | ~ spl10_111
    | ~ spl10_151 ),
    inference(avatar_split_clause,[],[f2779,f1010,f778,f542]) ).

fof(f2887,plain,
    ( $false
    | ~ spl10_36
    | ~ spl10_37 ),
    inference(forward_subsumption_resolution,[],[f2857,f119]) ).

fof(f2888,plain,
    ( ~ spl10_36
    | ~ spl10_37 ),
    inference(avatar_contradiction_clause,[],[f2887]) ).

fof(f2889,plain,
    ( $false
    | ~ spl10_66
    | ~ spl10_68 ),
    inference(forward_subsumption_resolution,[],[f2864,f120]) ).

fof(f2890,plain,
    ( ~ spl10_66
    | ~ spl10_68 ),
    inference(avatar_contradiction_clause,[],[f2889]) ).

fof(f2899,plain,
    ( e0 = e2
    | ~ spl10_38
    | ~ spl10_40 ),
    inference(forward_demodulation,[],[f473,f481]) ).

fof(f2902,plain,
    ( e0 = e2
    | ~ spl10_58
    | ~ spl10_60 ),
    inference(forward_demodulation,[],[f557,f565]) ).

fof(f2905,plain,
    ( e3 = op(e2,e0)
    | ~ spl10_60
    | ~ spl10_144 ),
    inference(forward_demodulation,[],[f976,f565]) ).

fof(f2908,plain,
    ( e4 = op(e2,e1)
    | ~ spl10_14
    | ~ spl10_174 ),
    inference(forward_demodulation,[],[f1156,f372]) ).

fof(f2923,plain,
    ( e0 = e4
    | ~ spl10_36
    | ~ spl10_40 ),
    inference(forward_demodulation,[],[f465,f481]) ).

fof(f2927,plain,
    ( spl10_17
    | ~ spl10_29
    | ~ spl10_169 ),
    inference(avatar_split_clause,[],[f1905,f1128,f433,f383]) ).

fof(f2929,plain,
    ( $false
    | ~ spl10_38
    | ~ spl10_40 ),
    inference(forward_subsumption_resolution,[],[f2899,f127]) ).

fof(f2930,plain,
    ( ~ spl10_38
    | ~ spl10_40 ),
    inference(avatar_contradiction_clause,[],[f2929]) ).

fof(f2933,plain,
    ( $false
    | ~ spl10_58
    | ~ spl10_60 ),
    inference(forward_subsumption_resolution,[],[f2902,f127]) ).

fof(f2934,plain,
    ( ~ spl10_58
    | ~ spl10_60 ),
    inference(avatar_contradiction_clause,[],[f2933]) ).

fof(f2935,plain,
    ( e2 = e3
    | ~ spl10_60
    | ~ spl10_73
    | ~ spl10_144 ),
    inference(forward_demodulation,[],[f2905,f620]) ).

fof(f2937,plain,
    ( e2 = e4
    | ~ spl10_14
    | ~ spl10_68
    | ~ spl10_174 ),
    inference(forward_demodulation,[],[f2908,f599]) ).

fof(f2948,plain,
    ( $false
    | ~ spl10_36
    | ~ spl10_40 ),
    inference(forward_subsumption_resolution,[],[f2923,f125]) ).

fof(f2949,plain,
    ( ~ spl10_36
    | ~ spl10_40 ),
    inference(avatar_contradiction_clause,[],[f2948]) ).

fof(f2952,plain,
    ( $false
    | ~ spl10_60
    | ~ spl10_73
    | ~ spl10_144 ),
    inference(forward_subsumption_resolution,[],[f2935,f121]) ).

fof(f2953,plain,
    ( ~ spl10_60
    | ~ spl10_73
    | ~ spl10_144 ),
    inference(avatar_contradiction_clause,[],[f2952]) ).

fof(f2954,plain,
    ( $false
    | ~ spl10_14
    | ~ spl10_68
    | ~ spl10_174 ),
    inference(forward_subsumption_resolution,[],[f2937,f120]) ).

fof(f2955,plain,
    ( ~ spl10_14
    | ~ spl10_68
    | ~ spl10_174 ),
    inference(avatar_contradiction_clause,[],[f2954]) ).

fof(f2963,plain,
    ( e0 = e3
    | ~ spl10_37
    | ~ spl10_40 ),
    inference(forward_demodulation,[],[f469,f481]) ).

fof(f2973,plain,
    ( e4 != op(e2,e1)
    | ~ spl10_14
    | spl10_174 ),
    inference(forward_demodulation,[],[f1155,f372]) ).

fof(f2975,plain,
    ( e3 = op(e2,e0)
    | ~ spl10_40
    | ~ spl10_176 ),
    inference(forward_demodulation,[],[f1166,f481]) ).

fof(f2985,plain,
    ( e2 = e3
    | ~ spl10_42
    | ~ spl10_43 ),
    inference(forward_demodulation,[],[f490,f494]) ).

fof(f2988,plain,
    ( $false
    | ~ spl10_37
    | ~ spl10_40 ),
    inference(forward_subsumption_resolution,[],[f2963,f126]) ).

fof(f2989,plain,
    ( ~ spl10_37
    | ~ spl10_40 ),
    inference(avatar_contradiction_clause,[],[f2988]) ).

fof(f2993,plain,
    ( e2 = e3
    | ~ spl10_40
    | ~ spl10_73
    | ~ spl10_176 ),
    inference(forward_demodulation,[],[f2975,f620]) ).

fof(f2996,plain,
    ( $false
    | ~ spl10_42
    | ~ spl10_43 ),
    inference(forward_subsumption_resolution,[],[f2985,f121]) ).

fof(f2997,plain,
    ( ~ spl10_42
    | ~ spl10_43 ),
    inference(avatar_contradiction_clause,[],[f2996]) ).

fof(f3000,plain,
    ( $false
    | ~ spl10_40
    | ~ spl10_73
    | ~ spl10_176 ),
    inference(forward_subsumption_resolution,[],[f2993,f121]) ).

fof(f3001,plain,
    ( ~ spl10_40
    | ~ spl10_73
    | ~ spl10_176 ),
    inference(avatar_contradiction_clause,[],[f3000]) ).

fof(f3005,plain,
    ( ~ spl10_41
    | ~ spl10_29
    | spl10_170 ),
    inference(avatar_split_clause,[],[f1906,f1133,f433,f484]) ).

fof(f3009,plain,
    ( e1 = e3
    | ~ spl10_62
    | ~ spl10_64 ),
    inference(forward_demodulation,[],[f574,f582]) ).

fof(f3014,plain,
    ( e3 != op(e4,e3)
    | ~ spl10_27
    | spl10_169 ),
    inference(forward_demodulation,[],[f1129,f427]) ).

fof(f3032,plain,
    ( $false
    | ~ spl10_62
    | ~ spl10_64 ),
    inference(forward_subsumption_resolution,[],[f3009,f123]) ).

fof(f3033,plain,
    ( ~ spl10_62
    | ~ spl10_64 ),
    inference(avatar_contradiction_clause,[],[f3032]) ).

fof(f3034,plain,
    ( $false
    | ~ spl10_7
    | ~ spl10_27
    | spl10_169 ),
    inference(forward_subsumption_resolution,[],[f3014,f343]) ).

fof(f3035,plain,
    ( ~ spl10_7
    | ~ spl10_27
    | spl10_169 ),
    inference(avatar_contradiction_clause,[],[f3034]) ).

fof(f3043,plain,
    ( e2 = e4
    | ~ spl10_6
    | ~ spl10_8 ),
    inference(forward_demodulation,[],[f339,f347]) ).

fof(f3046,plain,
    ( e2 = e3
    | ~ spl10_112
    | ~ spl10_113 ),
    inference(forward_demodulation,[],[f784,f788]) ).

fof(f3050,plain,
    ( e2 != op(e3,e1)
    | ~ spl10_59
    | spl10_141 ),
    inference(forward_demodulation,[],[f963,f561]) ).

fof(f3057,plain,
    ( e3 = op(e4,e2)
    | ~ spl10_8
    | ~ spl10_172 ),
    inference(forward_demodulation,[],[f1144,f347]) ).

fof(f3067,plain,
    ( $false
    | ~ spl10_6
    | ~ spl10_8 ),
    inference(forward_subsumption_resolution,[],[f3043,f120]) ).

fof(f3068,plain,
    ( ~ spl10_6
    | ~ spl10_8 ),
    inference(avatar_contradiction_clause,[],[f3067]) ).

fof(f3069,plain,
    ( $false
    | ~ spl10_112
    | ~ spl10_113 ),
    inference(forward_subsumption_resolution,[],[f3046,f121]) ).

fof(f3070,plain,
    ( ~ spl10_112
    | ~ spl10_113 ),
    inference(avatar_contradiction_clause,[],[f3069]) ).

fof(f3072,plain,
    ( e1 = e3
    | ~ spl10_8
    | ~ spl10_14
    | ~ spl10_172 ),
    inference(forward_demodulation,[],[f3057,f372]) ).

fof(f3073,plain,
    ( $false
    | ~ spl10_8
    | ~ spl10_14
    | ~ spl10_172 ),
    inference(forward_subsumption_resolution,[],[f3072,f123]) ).

fof(f3074,plain,
    ( ~ spl10_8
    | ~ spl10_14
    | ~ spl10_172 ),
    inference(avatar_contradiction_clause,[],[f3073]) ).

fof(f3083,plain,
    ( e4 = op(e3,e3)
    | ~ spl10_27
    | ~ spl10_170 ),
    inference(forward_demodulation,[],[f1134,f427]) ).

fof(f3088,plain,
    ( e3 != op(e0,e3)
    | ~ spl10_107
    | spl10_146 ),
    inference(forward_demodulation,[],[f988,f763]) ).

fof(f3109,plain,
    ( e0 = e4
    | ~ spl10_27
    | ~ spl10_35
    | ~ spl10_170 ),
    inference(forward_demodulation,[],[f3083,f460]) ).

fof(f3113,plain,
    ( $false
    | ~ spl10_107
    | spl10_146 ),
    inference(forward_subsumption_resolution,[],[f3088,f763]) ).

fof(f3114,plain,
    ( ~ spl10_107
    | spl10_146 ),
    inference(avatar_contradiction_clause,[],[f3113]) ).

fof(f3119,plain,
    ( $false
    | ~ spl10_27
    | ~ spl10_35
    | ~ spl10_170 ),
    inference(forward_subsumption_resolution,[],[f3109,f125]) ).

fof(f3120,plain,
    ( ~ spl10_27
    | ~ spl10_35
    | ~ spl10_170 ),
    inference(avatar_contradiction_clause,[],[f3119]) ).

fof(f3159,plain,
    ( e4 = op(e4,e1)
    | ~ spl10_129 ),
    inference(superposition,[],[f280,f855]) ).

fof(f3168,plain,
    ( e0 = op(e1,e0)
    | ~ spl10_129 ),
    inference(superposition,[],[f289,f855]) ).

fof(f3170,plain,
    ( spl10_100
    | ~ spl10_129 ),
    inference(avatar_split_clause,[],[f3168,f853,f731]) ).

fof(f3173,plain,
    ( $false
    | spl10_16
    | ~ spl10_129 ),
    inference(forward_subsumption_resolution,[],[f3159,f380]) ).

fof(f3174,plain,
    ( spl10_16
    | ~ spl10_129 ),
    inference(avatar_contradiction_clause,[],[f3173]) ).

fof(f3180,plain,
    ( e0 = e1
    | ~ spl10_119
    | ~ spl10_120 ),
    inference(forward_demodulation,[],[f813,f817]) ).

fof(f3192,plain,
    ( $false
    | ~ spl10_119
    | ~ spl10_120 ),
    inference(forward_subsumption_resolution,[],[f3180,f128]) ).

fof(f3193,plain,
    ( ~ spl10_119
    | ~ spl10_120 ),
    inference(avatar_contradiction_clause,[],[f3192]) ).

fof(f3212,plain,
    ( $false
    | ~ spl10_14
    | ~ spl10_66
    | spl10_174 ),
    inference(forward_subsumption_resolution,[],[f2973,f591]) ).

fof(f3213,plain,
    ( ~ spl10_14
    | ~ spl10_66
    | spl10_174 ),
    inference(avatar_contradiction_clause,[],[f3212]) ).

fof(f3217,plain,
    ( $false
    | ~ spl10_43
    | ~ spl10_59
    | spl10_141 ),
    inference(forward_subsumption_resolution,[],[f3050,f494]) ).

fof(f3218,plain,
    ( ~ spl10_43
    | ~ spl10_59
    | spl10_141 ),
    inference(avatar_contradiction_clause,[],[f3217]) ).

fof(f3227,plain,
    ( e4 = op(e2,e1)
    | ~ spl10_14
    | ~ spl10_174 ),
    inference(forward_demodulation,[],[f1156,f372]) ).

fof(f3229,plain,
    ( e4 = op(e0,e4)
    | ~ spl10_130 ),
    inference(superposition,[],[f281,f859]) ).

fof(f3230,plain,
    ( e3 = op(e3,e0)
    | ~ spl10_130 ),
    inference(superposition,[],[f282,f859]) ).

fof(f3231,plain,
    ( e3 = op(e0,e3)
    | ~ spl10_130 ),
    inference(superposition,[],[f283,f859]) ).

fof(f3234,plain,
    ( e1 = op(e1,e0)
    | ~ spl10_130 ),
    inference(superposition,[],[f286,f859]) ).

fof(f3240,plain,
    ( $false
    | spl10_99
    | ~ spl10_130 ),
    inference(forward_subsumption_resolution,[],[f3234,f728]) ).

fof(f3241,plain,
    ( spl10_99
    | ~ spl10_130 ),
    inference(avatar_contradiction_clause,[],[f3240]) ).

fof(f3242,plain,
    ( $false
    | spl10_101
    | ~ spl10_130 ),
    inference(forward_subsumption_resolution,[],[f3229,f737]) ).

fof(f3243,plain,
    ( spl10_101
    | ~ spl10_130 ),
    inference(avatar_contradiction_clause,[],[f3242]) ).

fof(f3244,plain,
    ( e0 = e3
    | ~ spl10_82
    | ~ spl10_85 ),
    inference(forward_demodulation,[],[f658,f670]) ).

fof(f3247,plain,
    ( e0 != op(e4,e4)
    | ~ spl10_101
    | spl10_135 ),
    inference(forward_demodulation,[],[f931,f738]) ).

fof(f3252,plain,
    ( $false
    | ~ spl10_82
    | ~ spl10_85 ),
    inference(forward_subsumption_resolution,[],[f3244,f126]) ).

fof(f3253,plain,
    ( ~ spl10_82
    | ~ spl10_85 ),
    inference(avatar_contradiction_clause,[],[f3252]) ).

fof(f3254,plain,
    ( $false
    | ~ spl10_5
    | ~ spl10_101
    | spl10_135 ),
    inference(forward_subsumption_resolution,[],[f3247,f334]) ).

fof(f3255,plain,
    ( ~ spl10_5
    | ~ spl10_101
    | spl10_135 ),
    inference(avatar_contradiction_clause,[],[f3254]) ).

fof(f3275,plain,
    ( e4 = op(e3,e2)
    | ~ spl10_28
    | ~ spl10_170 ),
    inference(forward_demodulation,[],[f1134,f431]) ).

fof(f3280,plain,
    ( e3 = e4
    | ~ spl10_28
    | ~ spl10_37
    | ~ spl10_170 ),
    inference(forward_demodulation,[],[f3275,f469]) ).

fof(f3281,plain,
    ( $false
    | ~ spl10_28
    | ~ spl10_37
    | ~ spl10_170 ),
    inference(forward_subsumption_resolution,[],[f3280,f119]) ).

fof(f3282,plain,
    ( ~ spl10_28
    | ~ spl10_37
    | ~ spl10_170 ),
    inference(avatar_contradiction_clause,[],[f3281]) ).

fof(f3286,plain,
    ( e3 != op(e4,e1)
    | ~ spl10_29
    | spl10_169 ),
    inference(forward_demodulation,[],[f1129,f435]) ).

fof(f3290,plain,
    ( $false
    | ~ spl10_17
    | ~ spl10_29
    | spl10_169 ),
    inference(forward_subsumption_resolution,[],[f3286,f385]) ).

fof(f3291,plain,
    ( ~ spl10_17
    | ~ spl10_29
    | spl10_169 ),
    inference(avatar_contradiction_clause,[],[f3290]) ).

fof(f3298,plain,
    ( e0 = e4
    | ~ spl10_1
    | ~ spl10_5 ),
    inference(superposition,[],[f334,f318]) ).

fof(f3303,plain,
    ( $false
    | ~ spl10_1
    | ~ spl10_5 ),
    inference(forward_subsumption_resolution,[],[f3298,f125]) ).

fof(f3304,plain,
    ( ~ spl10_1
    | ~ spl10_5 ),
    inference(avatar_contradiction_clause,[],[f3303]) ).

fof(f3314,plain,
    ( e1 = e3
    | ~ spl10_37
    | ~ spl10_39 ),
    inference(superposition,[],[f477,f469]) ).

fof(f3318,plain,
    ( $false
    | ~ spl10_37
    | ~ spl10_39 ),
    inference(forward_subsumption_resolution,[],[f3314,f123]) ).

fof(f3319,plain,
    ( ~ spl10_37
    | ~ spl10_39 ),
    inference(avatar_contradiction_clause,[],[f3318]) ).

fof(f3327,plain,
    ( e3 = e4
    | ~ spl10_46
    | ~ spl10_47 ),
    inference(superposition,[],[f511,f507]) ).

fof(f3331,plain,
    ( $false
    | ~ spl10_46
    | ~ spl10_47 ),
    inference(forward_subsumption_resolution,[],[f3327,f119]) ).

fof(f3332,plain,
    ( ~ spl10_46
    | ~ spl10_47 ),
    inference(avatar_contradiction_clause,[],[f3331]) ).

fof(f3340,plain,
    ( e0 = e1
    | ~ spl10_34
    | ~ spl10_35 ),
    inference(forward_demodulation,[],[f456,f460]) ).

fof(f3351,plain,
    ( e0 = e3
    | ~ spl10_62
    | ~ spl10_65 ),
    inference(forward_demodulation,[],[f574,f586]) ).

fof(f3353,plain,
    ( e0 = e2
    | ~ spl10_78
    | ~ spl10_80 ),
    inference(forward_demodulation,[],[f641,f649]) ).

fof(f3356,plain,
    ( e2 = e4
    | ~ spl10_86
    | ~ spl10_88 ),
    inference(forward_demodulation,[],[f675,f683]) ).

fof(f3361,plain,
    ( e3 = e4
    | ~ spl10_106
    | ~ spl10_107 ),
    inference(forward_demodulation,[],[f759,f763]) ).

fof(f3362,plain,
    ( e2 != op(e4,e3)
    | ~ spl10_52
    | spl10_133 ),
    inference(forward_demodulation,[],[f923,f532]) ).

fof(f3368,plain,
    ( e2 = op(e3,e4)
    | ~ spl10_36
    | ~ spl10_177 ),
    inference(forward_demodulation,[],[f1170,f465]) ).

fof(f3374,plain,
    ( e3 != op(e1,e3)
    | ~ spl10_82
    | spl10_145 ),
    inference(forward_demodulation,[],[f982,f658]) ).

fof(f3383,plain,
    ( e0 = e4
    | ~ spl10_14
    | ~ spl10_70
    | ~ spl10_174 ),
    inference(forward_demodulation,[],[f3227,f607]) ).

fof(f3406,plain,
    ( $false
    | ~ spl10_34
    | ~ spl10_35 ),
    inference(forward_subsumption_resolution,[],[f3340,f128]) ).

fof(f3407,plain,
    ( ~ spl10_34
    | ~ spl10_35 ),
    inference(avatar_contradiction_clause,[],[f3406]) ).

fof(f3418,plain,
    ( $false
    | ~ spl10_62
    | ~ spl10_65 ),
    inference(forward_subsumption_resolution,[],[f3351,f126]) ).

fof(f3419,plain,
    ( ~ spl10_62
    | ~ spl10_65 ),
    inference(avatar_contradiction_clause,[],[f3418]) ).

fof(f3420,plain,
    ( $false
    | ~ spl10_78
    | ~ spl10_80 ),
    inference(forward_subsumption_resolution,[],[f3353,f127]) ).

fof(f3421,plain,
    ( ~ spl10_78
    | ~ spl10_80 ),
    inference(avatar_contradiction_clause,[],[f3420]) ).

fof(f3422,plain,
    ( $false
    | ~ spl10_86
    | ~ spl10_88 ),
    inference(forward_subsumption_resolution,[],[f3356,f120]) ).

fof(f3423,plain,
    ( ~ spl10_86
    | ~ spl10_88 ),
    inference(avatar_contradiction_clause,[],[f3422]) ).

fof(f3426,plain,
    ( $false
    | ~ spl10_106
    | ~ spl10_107 ),
    inference(forward_subsumption_resolution,[],[f3361,f119]) ).

fof(f3427,plain,
    ( ~ spl10_106
    | ~ spl10_107 ),
    inference(avatar_contradiction_clause,[],[f3426]) ).

fof(f3433,plain,
    ( $false
    | ~ spl10_82
    | spl10_145 ),
    inference(forward_subsumption_resolution,[],[f3374,f658]) ).

fof(f3434,plain,
    ( ~ spl10_82
    | spl10_145 ),
    inference(avatar_contradiction_clause,[],[f3433]) ).

fof(f3441,plain,
    ( $false
    | ~ spl10_14
    | ~ spl10_70
    | ~ spl10_174 ),
    inference(forward_subsumption_resolution,[],[f3383,f125]) ).

fof(f3442,plain,
    ( ~ spl10_14
    | ~ spl10_70
    | ~ spl10_174 ),
    inference(avatar_contradiction_clause,[],[f3441]) ).

fof(f3490,plain,
    ( e2 != op(e0,e2)
    | ~ spl10_113
    | spl10_153 ),
    inference(forward_demodulation,[],[f1024,f788]) ).

fof(f3494,plain,
    ( $false
    | spl10_107
    | ~ spl10_130 ),
    inference(forward_subsumption_resolution,[],[f3231,f762]) ).

fof(f3495,plain,
    ( spl10_107
    | ~ spl10_130 ),
    inference(avatar_contradiction_clause,[],[f3494]) ).

fof(f3502,plain,
    ( $false
    | spl10_47
    | ~ spl10_130 ),
    inference(forward_subsumption_resolution,[],[f3230,f510]) ).

fof(f3503,plain,
    ( spl10_47
    | ~ spl10_130 ),
    inference(avatar_contradiction_clause,[],[f3502]) ).

fof(f3508,plain,
    ( spl10_28
    | ~ spl10_36
    | ~ spl10_177 ),
    inference(avatar_split_clause,[],[f3368,f1169,f463,f429]) ).

fof(f3516,plain,
    ( $false
    | ~ spl10_113
    | spl10_153 ),
    inference(forward_subsumption_resolution,[],[f3490,f788]) ).

fof(f3517,plain,
    ( ~ spl10_113
    | spl10_153 ),
    inference(avatar_contradiction_clause,[],[f3516]) ).

fof(f3521,plain,
    ( e3 = e4
    | ~ spl10_6
    | ~ spl10_7 ),
    inference(forward_demodulation,[],[f339,f343]) ).

fof(f3527,plain,
    ( e1 = op(e3,e0)
    | ~ spl10_85
    | ~ spl10_142 ),
    inference(forward_demodulation,[],[f968,f670]) ).

fof(f3531,plain,
    ( e2 != op(e3,e4)
    | ~ spl10_36
    | spl10_177 ),
    inference(forward_demodulation,[],[f1171,f465]) ).

fof(f3543,plain,
    ( $false
    | ~ spl10_6
    | ~ spl10_7 ),
    inference(forward_subsumption_resolution,[],[f3521,f119]) ).

fof(f3544,plain,
    ( ~ spl10_6
    | ~ spl10_7 ),
    inference(avatar_contradiction_clause,[],[f3543]) ).

fof(f3545,plain,
    ( $false
    | spl10_49
    | ~ spl10_85
    | ~ spl10_142 ),
    inference(forward_subsumption_resolution,[],[f3527,f518]) ).

fof(f3546,plain,
    ( spl10_49
    | ~ spl10_85
    | ~ spl10_142 ),
    inference(avatar_contradiction_clause,[],[f3545]) ).

fof(f3549,plain,
    ( e0 = e3
    | ~ spl10_2
    | ~ spl10_5 ),
    inference(forward_demodulation,[],[f322,f334]) ).

fof(f3553,plain,
    ( e1 = e2
    | ~ spl10_98
    | ~ spl10_99 ),
    inference(forward_demodulation,[],[f725,f729]) ).

fof(f3558,plain,
    ( e3 = op(e1,e4)
    | ~ spl10_81
    | ~ spl10_145 ),
    inference(forward_demodulation,[],[f981,f654]) ).

fof(f3575,plain,
    ( $false
    | ~ spl10_2
    | ~ spl10_5 ),
    inference(forward_subsumption_resolution,[],[f3549,f126]) ).

fof(f3576,plain,
    ( ~ spl10_2
    | ~ spl10_5 ),
    inference(avatar_contradiction_clause,[],[f3575]) ).

fof(f3577,plain,
    ( $false
    | ~ spl10_98
    | ~ spl10_99 ),
    inference(forward_subsumption_resolution,[],[f3553,f124]) ).

fof(f3578,plain,
    ( ~ spl10_98
    | ~ spl10_99 ),
    inference(avatar_contradiction_clause,[],[f3577]) ).

fof(f3580,plain,
    ( e2 = e3
    | ~ spl10_78
    | ~ spl10_81
    | ~ spl10_145 ),
    inference(forward_demodulation,[],[f3558,f641]) ).

fof(f3589,plain,
    ( $false
    | ~ spl10_78
    | ~ spl10_81
    | ~ spl10_145 ),
    inference(forward_subsumption_resolution,[],[f3580,f121]) ).

fof(f3590,plain,
    ( ~ spl10_78
    | ~ spl10_81
    | ~ spl10_145 ),
    inference(avatar_contradiction_clause,[],[f3589]) ).

fof(f3633,plain,
    ( spl10_77
    | ~ spl10_81
    | ~ spl10_145 ),
    inference(avatar_split_clause,[],[f3558,f980,f652,f635]) ).

fof(f3647,plain,
    ( $false
    | ~ spl10_28
    | ~ spl10_36
    | spl10_177 ),
    inference(forward_subsumption_resolution,[],[f3531,f431]) ).

fof(f3648,plain,
    ( ~ spl10_28
    | ~ spl10_36
    | spl10_177 ),
    inference(avatar_contradiction_clause,[],[f3647]) ).

fof(f3719,plain,
    ( $false
    | ~ spl10_8
    | ~ spl10_52
    | spl10_133 ),
    inference(forward_subsumption_resolution,[],[f3362,f347]) ).

fof(f3720,plain,
    ( ~ spl10_8
    | ~ spl10_52
    | spl10_133 ),
    inference(avatar_contradiction_clause,[],[f3719]) ).

fof(f3726,plain,
    ( e0 = e3
    | ~ spl10_7
    | ~ spl10_10 ),
    inference(forward_demodulation,[],[f343,f355]) ).

fof(f3730,plain,
    ( e0 = e4
    | ~ spl10_26
    | ~ spl10_30 ),
    inference(forward_demodulation,[],[f423,f439]) ).

fof(f3747,plain,
    ( e4 = op(e3,e0)
    | ~ spl10_30
    | ~ spl10_170 ),
    inference(forward_demodulation,[],[f1134,f439]) ).

fof(f3755,plain,
    ( $false
    | ~ spl10_7
    | ~ spl10_10 ),
    inference(forward_subsumption_resolution,[],[f3726,f126]) ).

fof(f3756,plain,
    ( ~ spl10_7
    | ~ spl10_10 ),
    inference(avatar_contradiction_clause,[],[f3755]) ).

fof(f3759,plain,
    ( $false
    | ~ spl10_26
    | ~ spl10_30 ),
    inference(forward_subsumption_resolution,[],[f3730,f125]) ).

fof(f3760,plain,
    ( ~ spl10_26
    | ~ spl10_30 ),
    inference(avatar_contradiction_clause,[],[f3759]) ).

fof(f3769,plain,
    ( e3 = e4
    | ~ spl10_30
    | ~ spl10_47
    | ~ spl10_170 ),
    inference(forward_demodulation,[],[f3747,f511]) ).

fof(f3775,plain,
    ( $false
    | ~ spl10_30
    | ~ spl10_47
    | ~ spl10_170 ),
    inference(forward_subsumption_resolution,[],[f3769,f119]) ).

fof(f3776,plain,
    ( ~ spl10_30
    | ~ spl10_47
    | ~ spl10_170 ),
    inference(avatar_contradiction_clause,[],[f3775]) ).

fof(f3789,plain,
    ( e0 = e1
    | ~ spl10_74
    | ~ spl10_75 ),
    inference(forward_demodulation,[],[f624,f628]) ).

fof(f3793,plain,
    ( e0 = e4
    | ~ spl10_86
    | ~ spl10_90 ),
    inference(forward_demodulation,[],[f675,f691]) ).

fof(f3809,plain,
    ( e4 != op(e1,e2)
    | ~ spl10_78
    | spl10_137 ),
    inference(forward_demodulation,[],[f942,f641]) ).

fof(f3811,plain,
    ( op(e0,e0) = e2
    | ~ spl10_115
    | ~ spl10_153 ),
    inference(forward_demodulation,[],[f1023,f796]) ).

fof(f3814,plain,
    ( e3 != op(e4,e4)
    | ~ spl10_6
    | spl10_172 ),
    inference(forward_demodulation,[],[f1145,f339]) ).

fof(f3838,plain,
    ( e2 = op(e1,e0)
    | ~ spl10_90
    | ~ spl10_152 ),
    inference(forward_demodulation,[],[f1017,f691]) ).

fof(f3871,plain,
    ( $false
    | ~ spl10_74
    | ~ spl10_75 ),
    inference(forward_subsumption_resolution,[],[f3789,f128]) ).

fof(f3872,plain,
    ( ~ spl10_74
    | ~ spl10_75 ),
    inference(avatar_contradiction_clause,[],[f3871]) ).

fof(f3873,plain,
    ( $false
    | ~ spl10_86
    | ~ spl10_90 ),
    inference(forward_subsumption_resolution,[],[f3793,f125]) ).

fof(f3874,plain,
    ( ~ spl10_86
    | ~ spl10_90 ),
    inference(avatar_contradiction_clause,[],[f3873]) ).

fof(f3888,plain,
    ( $false
    | ~ spl10_2
    | ~ spl10_6
    | spl10_172 ),
    inference(forward_subsumption_resolution,[],[f3814,f322]) ).

fof(f3889,plain,
    ( ~ spl10_2
    | ~ spl10_6
    | spl10_172 ),
    inference(avatar_contradiction_clause,[],[f3888]) ).

fof(f3896,plain,
    ( spl10_98
    | ~ spl10_90
    | ~ spl10_152 ),
    inference(avatar_split_clause,[],[f3838,f1016,f689,f723]) ).

fof(f3910,plain,
    ( e2 = e3
    | ~ spl10_92
    | ~ spl10_93 ),
    inference(forward_demodulation,[],[f700,f704]) ).

fof(f3928,plain,
    ( e1 = e4
    | ~ spl10_101
    | ~ spl10_104 ),
    inference(forward_demodulation,[],[f738,f750]) ).

fof(f3929,plain,
    ( e0 != op(e4,e1)
    | ~ spl10_104
    | spl10_135 ),
    inference(forward_demodulation,[],[f931,f750]) ).

fof(f3940,plain,
    ( $false
    | ~ spl10_78
    | ~ spl10_86
    | spl10_137 ),
    inference(forward_subsumption_resolution,[],[f3809,f675]) ).

fof(f3941,plain,
    ( ~ spl10_78
    | ~ spl10_86
    | spl10_137 ),
    inference(avatar_contradiction_clause,[],[f3940]) ).

fof(f3950,plain,
    ( $false
    | ~ spl10_92
    | ~ spl10_93 ),
    inference(forward_subsumption_resolution,[],[f3910,f121]) ).

fof(f3951,plain,
    ( ~ spl10_92
    | ~ spl10_93 ),
    inference(avatar_contradiction_clause,[],[f3950]) ).

fof(f3960,plain,
    ( $false
    | ~ spl10_101
    | ~ spl10_104 ),
    inference(forward_subsumption_resolution,[],[f3928,f122]) ).

fof(f3961,plain,
    ( ~ spl10_101
    | ~ spl10_104 ),
    inference(avatar_contradiction_clause,[],[f3960]) ).

fof(f3962,plain,
    ( $false
    | ~ spl10_20
    | ~ spl10_104
    | spl10_135 ),
    inference(forward_subsumption_resolution,[],[f3929,f397]) ).

fof(f3963,plain,
    ( ~ spl10_20
    | ~ spl10_104
    | spl10_135 ),
    inference(avatar_contradiction_clause,[],[f3962]) ).

fof(f3978,plain,
    ( ~ spl10_31
    | ~ spl10_27
    | spl10_170 ),
    inference(avatar_split_clause,[],[f1871,f1133,f425,f442]) ).

fof(f4019,plain,
    ( e0 != op(e2,e2)
    | ~ spl10_113
    | spl10_151 ),
    inference(forward_demodulation,[],[f1011,f788]) ).

fof(f4102,plain,
    ( $false
    | ~ spl10_103
    | spl10_111
    | ~ spl10_138 ),
    inference(forward_subsumption_resolution,[],[f2303,f779]) ).

fof(f4103,plain,
    ( ~ spl10_103
    | spl10_111
    | ~ spl10_138 ),
    inference(avatar_contradiction_clause,[],[f4102]) ).

fof(f4275,plain,
    ( e2 = e3
    | ~ spl10_37
    | ~ spl10_38 ),
    inference(forward_demodulation,[],[f469,f473]) ).

fof(f4286,plain,
    ( $false
    | ~ spl10_37
    | ~ spl10_38 ),
    inference(forward_subsumption_resolution,[],[f4275,f121]) ).

fof(f4287,plain,
    ( ~ spl10_37
    | ~ spl10_38 ),
    inference(avatar_contradiction_clause,[],[f4286]) ).

fof(f4291,plain,
    ( e0 = e3
    | ~ spl10_17
    | ~ spl10_20 ),
    inference(forward_demodulation,[],[f385,f397]) ).

fof(f4308,plain,
    ( $false
    | ~ spl10_17
    | ~ spl10_20 ),
    inference(forward_subsumption_resolution,[],[f4291,f126]) ).

fof(f4309,plain,
    ( ~ spl10_17
    | ~ spl10_20 ),
    inference(avatar_contradiction_clause,[],[f4308]) ).

fof(f4353,plain,
    ( e2 = e4
    | ~ spl10_21
    | ~ spl10_23 ),
    inference(superposition,[],[f410,f402]) ).

fof(f4357,plain,
    ( $false
    | ~ spl10_21
    | ~ spl10_23 ),
    inference(forward_subsumption_resolution,[],[f4353,f120]) ).

fof(f4358,plain,
    ( ~ spl10_21
    | ~ spl10_23 ),
    inference(avatar_contradiction_clause,[],[f4357]) ).

fof(f4377,plain,
    ( e0 = e2
    | ~ spl10_23
    | ~ spl10_25 ),
    inference(superposition,[],[f418,f410]) ).

fof(f4378,plain,
    ( e0 = e2
    | ~ spl10_23
    | ~ spl10_25 ),
    inference(superposition,[],[f410,f418]) ).

fof(f4379,plain,
    ( $false
    | ~ spl10_23
    | ~ spl10_25 ),
    inference(forward_subsumption_resolution,[],[f4378,f127]) ).

fof(f4380,plain,
    ( ~ spl10_23
    | ~ spl10_25 ),
    inference(avatar_contradiction_clause,[],[f4379]) ).

fof(f4381,plain,
    ( $false
    | ~ spl10_23
    | ~ spl10_25 ),
    inference(forward_subsumption_resolution,[],[f4377,f127]) ).

fof(f4382,plain,
    ( ~ spl10_23
    | ~ spl10_25 ),
    inference(avatar_contradiction_clause,[],[f4381]) ).

fof(f4394,plain,
    ( e2 = e3
    | ~ spl10_52
    | ~ spl10_53 ),
    inference(superposition,[],[f536,f532]) ).

fof(f4398,plain,
    ( $false
    | ~ spl10_52
    | ~ spl10_53 ),
    inference(forward_subsumption_resolution,[],[f4394,f121]) ).

fof(f4399,plain,
    ( ~ spl10_52
    | ~ spl10_53 ),
    inference(avatar_contradiction_clause,[],[f4398]) ).

fof(f4407,plain,
    ( e0 = e3
    | ~ spl10_52
    | ~ spl10_55 ),
    inference(superposition,[],[f544,f532]) ).

fof(f4411,plain,
    ( $false
    | ~ spl10_52
    | ~ spl10_55 ),
    inference(forward_subsumption_resolution,[],[f4407,f126]) ).

fof(f4412,plain,
    ( ~ spl10_52
    | ~ spl10_55 ),
    inference(avatar_contradiction_clause,[],[f4411]) ).

fof(f4426,plain,
    ( spl10_103
    | ~ spl10_71
    | ~ spl10_163 ),
    inference(avatar_split_clause,[],[f1271,f1074,f610,f744]) ).

fof(f4440,plain,
    ( $false
    | ~ spl10_65
    | ~ spl10_113
    | spl10_151 ),
    inference(forward_subsumption_resolution,[],[f4019,f586]) ).

fof(f4441,plain,
    ( ~ spl10_65
    | ~ spl10_113
    | spl10_151 ),
    inference(avatar_contradiction_clause,[],[f4440]) ).

fof(f4452,plain,
    ( e2 = op(e1,e3)
    | ~ spl10_87
    | ~ spl10_152 ),
    inference(forward_demodulation,[],[f1017,f679]) ).

fof(f4456,plain,
    ( e0 = op(e2,e4)
    | ~ spl10_71
    | ~ spl10_166 ),
    inference(forward_demodulation,[],[f1088,f612]) ).

fof(f4502,plain,
    ( e0 != op(e4,e0)
    | ~ spl10_25
    | spl10_183 ),
    inference(forward_demodulation,[],[f1201,f418]) ).

fof(f4515,plain,
    ( spl10_83
    | ~ spl10_87
    | ~ spl10_152 ),
    inference(avatar_split_clause,[],[f4452,f1016,f677,f660]) ).

fof(f4517,plain,
    ( spl10_55
    | ~ spl10_71
    | ~ spl10_166 ),
    inference(avatar_split_clause,[],[f4456,f1087,f610,f542]) ).

fof(f4526,plain,
    ( $false
    | ~ spl10_25
    | spl10_183 ),
    inference(forward_subsumption_resolution,[],[f4502,f418]) ).

fof(f4527,plain,
    ( ~ spl10_25
    | spl10_183 ),
    inference(avatar_contradiction_clause,[],[f4526]) ).

fof(f4542,plain,
    ( e3 = e4
    | ~ spl10_86
    | ~ spl10_87 ),
    inference(forward_demodulation,[],[f675,f679]) ).

fof(f4546,plain,
    ( e0 = e2
    | ~ spl10_115
    | ~ spl10_125
    | ~ spl10_153 ),
    inference(forward_demodulation,[],[f3811,f838]) ).

fof(f4547,plain,
    ( e0 = e2
    | ~ spl10_123
    | ~ spl10_125 ),
    inference(forward_demodulation,[],[f830,f838]) ).

fof(f4558,plain,
    ( spl10_22
    | ~ spl10_30
    | ~ spl10_169 ),
    inference(avatar_split_clause,[],[f1884,f1128,f437,f404]) ).

fof(f4559,plain,
    ( e4 = op(e3,e2)
    | ~ spl10_8
    | ~ spl10_171 ),
    inference(forward_demodulation,[],[f1140,f347]) ).

fof(f4571,plain,
    ( e4 = op(e1,e3)
    | ~ spl10_77
    | ~ spl10_137 ),
    inference(forward_demodulation,[],[f941,f637]) ).

fof(f4585,plain,
    ( $false
    | ~ spl10_86
    | ~ spl10_87 ),
    inference(forward_subsumption_resolution,[],[f4542,f119]) ).

fof(f4586,plain,
    ( ~ spl10_86
    | ~ spl10_87 ),
    inference(avatar_contradiction_clause,[],[f4585]) ).

fof(f4587,plain,
    ( $false
    | ~ spl10_115
    | ~ spl10_125
    | ~ spl10_153 ),
    inference(forward_subsumption_resolution,[],[f4546,f127]) ).

fof(f4588,plain,
    ( ~ spl10_115
    | ~ spl10_125
    | ~ spl10_153 ),
    inference(avatar_contradiction_clause,[],[f4587]) ).

fof(f4589,plain,
    ( $false
    | ~ spl10_123
    | ~ spl10_125 ),
    inference(forward_subsumption_resolution,[],[f4547,f127]) ).

fof(f4590,plain,
    ( ~ spl10_123
    | ~ spl10_125 ),
    inference(avatar_contradiction_clause,[],[f4589]) ).

fof(f4592,plain,
    ( $false
    | ~ spl10_8
    | spl10_36
    | ~ spl10_171 ),
    inference(forward_subsumption_resolution,[],[f4559,f464]) ).

fof(f4593,plain,
    ( ~ spl10_8
    | spl10_36
    | ~ spl10_171 ),
    inference(avatar_contradiction_clause,[],[f4592]) ).

fof(f4596,plain,
    ( $false
    | ~ spl10_77
    | spl10_81
    | ~ spl10_137 ),
    inference(forward_subsumption_resolution,[],[f4571,f653]) ).

fof(f4597,plain,
    ( ~ spl10_77
    | spl10_81
    | ~ spl10_137 ),
    inference(avatar_contradiction_clause,[],[f4596]) ).

fof(f4598,plain,
    ( e1 = e4
    | ~ spl10_36
    | ~ spl10_39 ),
    inference(forward_demodulation,[],[f465,f477]) ).

fof(f4624,plain,
    ( e1 != op(e2,e3)
    | ~ spl10_87
    | spl10_150 ),
    inference(forward_demodulation,[],[f1007,f679]) ).

fof(f4652,plain,
    ( $false
    | ~ spl10_36
    | ~ spl10_39 ),
    inference(forward_subsumption_resolution,[],[f4598,f122]) ).

fof(f4653,plain,
    ( ~ spl10_36
    | ~ spl10_39 ),
    inference(avatar_contradiction_clause,[],[f4652]) ).

fof(f4668,plain,
    ( e0 = e4
    | ~ spl10_105
    | ~ spl10_125
    | ~ spl10_138 ),
    inference(forward_demodulation,[],[f1869,f838]) ).

fof(f4669,plain,
    ( e0 = e4
    | ~ spl10_121
    | ~ spl10_125 ),
    inference(forward_demodulation,[],[f822,f838]) ).

fof(f4682,plain,
    ( $false
    | ~ spl10_105
    | ~ spl10_125
    | ~ spl10_138 ),
    inference(forward_subsumption_resolution,[],[f4668,f125]) ).

fof(f4683,plain,
    ( ~ spl10_105
    | ~ spl10_125
    | ~ spl10_138 ),
    inference(avatar_contradiction_clause,[],[f4682]) ).

fof(f4684,plain,
    ( $false
    | ~ spl10_121
    | ~ spl10_125 ),
    inference(forward_subsumption_resolution,[],[f4669,f125]) ).

fof(f4685,plain,
    ( ~ spl10_121
    | ~ spl10_125 ),
    inference(avatar_contradiction_clause,[],[f4684]) ).

fof(f4695,plain,
    ( e0 = op(e0,e0)
    | ~ spl10_130 ),
    inference(superposition,[],[f288,f859]) ).

fof(f4701,plain,
    ( $false
    | spl10_125
    | ~ spl10_130 ),
    inference(forward_subsumption_resolution,[],[f4695,f837]) ).

fof(f4702,plain,
    ( spl10_125
    | ~ spl10_130 ),
    inference(avatar_contradiction_clause,[],[f4701]) ).

fof(f4721,plain,
    ( e2 = e3
    | ~ spl10_47
    | ~ spl10_48 ),
    inference(superposition,[],[f515,f511]) ).

fof(f4726,plain,
    ( $false
    | ~ spl10_47
    | ~ spl10_48 ),
    inference(forward_subsumption_resolution,[],[f4721,f121]) ).

fof(f4727,plain,
    ( ~ spl10_47
    | ~ spl10_48 ),
    inference(avatar_contradiction_clause,[],[f4726]) ).

fof(f4737,plain,
    ( e1 = e3
    | ~ spl10_117
    | ~ spl10_119 ),
    inference(forward_demodulation,[],[f805,f813]) ).

fof(f4749,plain,
    ( e4 = op(e2,e1)
    | ~ spl10_14
    | ~ spl10_174 ),
    inference(forward_demodulation,[],[f1156,f372]) ).

fof(f4766,plain,
    ( $false
    | ~ spl10_117
    | ~ spl10_119 ),
    inference(forward_subsumption_resolution,[],[f4737,f123]) ).

fof(f4767,plain,
    ( ~ spl10_117
    | ~ spl10_119 ),
    inference(avatar_contradiction_clause,[],[f4766]) ).

fof(f4801,plain,
    ( e1 = e3
    | ~ spl10_52
    | ~ spl10_54 ),
    inference(superposition,[],[f540,f532]) ).

fof(f4805,plain,
    ( $false
    | ~ spl10_52
    | ~ spl10_54 ),
    inference(forward_subsumption_resolution,[],[f4801,f123]) ).

fof(f4806,plain,
    ( ~ spl10_52
    | ~ spl10_54 ),
    inference(avatar_contradiction_clause,[],[f4805]) ).

fof(f4824,plain,
    ( $false
    | ~ spl10_59
    | ~ spl10_87
    | spl10_150 ),
    inference(forward_subsumption_resolution,[],[f4624,f561]) ).

fof(f4825,plain,
    ( ~ spl10_59
    | ~ spl10_87
    | spl10_150 ),
    inference(avatar_contradiction_clause,[],[f4824]) ).

fof(f4838,plain,
    ( e0 != op(e1,e1)
    | ~ spl10_99
    | spl10_167 ),
    inference(superposition,[],[f1094,f729]) ).

fof(f4840,plain,
    ( $false
    | ~ spl10_95
    | ~ spl10_99
    | spl10_167 ),
    inference(forward_subsumption_resolution,[],[f4838,f712]) ).

fof(f4841,plain,
    ( ~ spl10_95
    | ~ spl10_99
    | spl10_167 ),
    inference(avatar_contradiction_clause,[],[f4840]) ).

fof(f4844,plain,
    ( e0 != op(e3,e3)
    | ~ spl10_47
    | spl10_185 ),
    inference(forward_demodulation,[],[f1211,f511]) ).

fof(f4845,plain,
    ( $false
    | ~ spl10_35
    | ~ spl10_47
    | spl10_185 ),
    inference(forward_subsumption_resolution,[],[f4844,f460]) ).

fof(f4846,plain,
    ( ~ spl10_35
    | ~ spl10_47
    | spl10_185 ),
    inference(avatar_contradiction_clause,[],[f4845]) ).

fof(f4847,plain,
    ( $false
    | ~ spl10_45
    | spl10_97
    | ~ spl10_180 ),
    inference(forward_subsumption_resolution,[],[f2738,f720]) ).

fof(f4848,plain,
    ( ~ spl10_45
    | spl10_97
    | ~ spl10_180 ),
    inference(avatar_contradiction_clause,[],[f4847]) ).

fof(f4850,plain,
    ( e1 != op(e3,e4)
    | ~ spl10_81
    | spl10_142 ),
    inference(forward_demodulation,[],[f967,f654]) ).

fof(f4871,plain,
    ( $false
    | ~ spl10_29
    | ~ spl10_81
    | spl10_142 ),
    inference(forward_subsumption_resolution,[],[f4850,f435]) ).

fof(f4872,plain,
    ( ~ spl10_29
    | ~ spl10_81
    | spl10_142 ),
    inference(avatar_contradiction_clause,[],[f4871]) ).

fof(f4885,plain,
    ( e1 = e4
    | ~ spl10_116
    | ~ spl10_119 ),
    inference(forward_demodulation,[],[f801,f813]) ).

fof(f4895,plain,
    ( e3 != op(e1,e2)
    | ~ spl10_43
    | spl10_180 ),
    inference(forward_demodulation,[],[f1185,f494]) ).

fof(f4913,plain,
    ( $false
    | ~ spl10_14
    | spl10_66
    | ~ spl10_174 ),
    inference(forward_subsumption_resolution,[],[f4749,f590]) ).

fof(f4914,plain,
    ( ~ spl10_14
    | spl10_66
    | ~ spl10_174 ),
    inference(avatar_contradiction_clause,[],[f4913]) ).

fof(f4917,plain,
    ( $false
    | ~ spl10_116
    | ~ spl10_119 ),
    inference(forward_subsumption_resolution,[],[f4885,f122]) ).

fof(f4918,plain,
    ( ~ spl10_116
    | ~ spl10_119 ),
    inference(avatar_contradiction_clause,[],[f4917]) ).

fof(f4922,plain,
    ( $false
    | ~ spl10_43
    | ~ spl10_87
    | spl10_180 ),
    inference(forward_subsumption_resolution,[],[f4895,f679]) ).

fof(f4923,plain,
    ( ~ spl10_43
    | ~ spl10_87
    | spl10_180 ),
    inference(avatar_contradiction_clause,[],[f4922]) ).

cnf(s1,plain,
    ( spl10_1
    | spl10_2
    | spl10_3
    | spl10_4
    | spl10_5 ),
    inference(sat_conversion,[],[f335]) ).

cnf(s6,plain,
    ( spl10_26
    | spl10_27
    | spl10_28
    | spl10_29
    | spl10_30 ),
    inference(sat_conversion,[],[f440]) ).

cnf(s16,plain,
    ( spl10_76
    | spl10_77
    | spl10_78
    | spl10_79
    | spl10_80 ),
    inference(sat_conversion,[],[f650]) ).

cnf(s26,plain,
    ( spl10_126
    | spl10_127
    | spl10_128
    | spl10_129
    | spl10_130 ),
    inference(sat_conversion,[],[f860]) ).

cnf(s30,plain,
    ( spl10_2
    | spl10_7
    | spl10_12
    | spl10_17
    | spl10_22 ),
    inference(sat_conversion,[],[f864]) ).

cnf(s31,plain,
    ( spl10_3
    | spl10_28
    | spl10_53
    | spl10_78
    | spl10_103 ),
    inference(sat_conversion,[],[f865]) ).

cnf(s32,plain,
    ( spl10_3
    | spl10_8
    | spl10_13
    | spl10_18
    | spl10_23 ),
    inference(sat_conversion,[],[f866]) ).

cnf(s33,plain,
    ( spl10_4
    | spl10_29
    | spl10_54
    | spl10_79
    | spl10_104 ),
    inference(sat_conversion,[],[f867]) ).

cnf(s35,plain,
    ( spl10_5
    | spl10_30
    | spl10_55
    | spl10_80
    | spl10_105 ),
    inference(sat_conversion,[],[f869]) ).

cnf(s36,plain,
    ( spl10_5
    | spl10_10
    | spl10_15
    | spl10_20
    | spl10_25 ),
    inference(sat_conversion,[],[f870]) ).

cnf(s37,plain,
    ( spl10_6
    | spl10_31
    | spl10_56
    | spl10_81
    | spl10_106 ),
    inference(sat_conversion,[],[f871]) ).

cnf(s38,plain,
    ( spl10_26
    | spl10_31
    | spl10_36
    | spl10_41
    | spl10_46 ),
    inference(sat_conversion,[],[f872]) ).

cnf(s41,plain,
    ( spl10_8
    | spl10_33
    | spl10_58
    | spl10_83
    | spl10_108 ),
    inference(sat_conversion,[],[f875]) ).

cnf(s42,plain,
    ( spl10_28
    | spl10_33
    | spl10_38
    | spl10_43
    | spl10_48 ),
    inference(sat_conversion,[],[f876]) ).

cnf(s44,plain,
    ( spl10_29
    | spl10_34
    | spl10_39
    | spl10_44
    | spl10_49 ),
    inference(sat_conversion,[],[f878]) ).

cnf(s45,plain,
    ( spl10_10
    | spl10_35
    | spl10_60
    | spl10_85
    | spl10_110 ),
    inference(sat_conversion,[],[f879]) ).

cnf(s46,plain,
    ( spl10_30
    | spl10_35
    | spl10_40
    | spl10_45
    | spl10_50 ),
    inference(sat_conversion,[],[f880]) ).

cnf(s47,plain,
    ( spl10_11
    | spl10_36
    | spl10_61
    | spl10_86
    | spl10_111 ),
    inference(sat_conversion,[],[f881]) ).

cnf(s48,plain,
    ( spl10_51
    | spl10_56
    | spl10_61
    | spl10_66
    | spl10_71 ),
    inference(sat_conversion,[],[f882]) ).

cnf(s49,plain,
    ( spl10_12
    | spl10_37
    | spl10_62
    | spl10_87
    | spl10_112 ),
    inference(sat_conversion,[],[f883]) ).

cnf(s54,plain,
    ( spl10_54
    | spl10_59
    | spl10_64
    | spl10_69
    | spl10_74 ),
    inference(sat_conversion,[],[f888]) ).

cnf(s55,plain,
    ( spl10_15
    | spl10_40
    | spl10_65
    | spl10_90
    | spl10_115 ),
    inference(sat_conversion,[],[f889]) ).

cnf(s56,plain,
    ( spl10_55
    | spl10_60
    | spl10_65
    | spl10_70
    | spl10_75 ),
    inference(sat_conversion,[],[f890]) ).

cnf(s57,plain,
    ( spl10_16
    | spl10_41
    | spl10_66
    | spl10_91
    | spl10_116 ),
    inference(sat_conversion,[],[f891]) ).

cnf(s58,plain,
    ( spl10_76
    | spl10_81
    | spl10_86
    | spl10_91
    | spl10_96 ),
    inference(sat_conversion,[],[f892]) ).

cnf(s59,plain,
    ( spl10_17
    | spl10_42
    | spl10_67
    | spl10_92
    | spl10_117 ),
    inference(sat_conversion,[],[f893]) ).

cnf(s60,plain,
    ( spl10_77
    | spl10_82
    | spl10_87
    | spl10_92
    | spl10_97 ),
    inference(sat_conversion,[],[f894]) ).

cnf(s61,plain,
    ( spl10_18
    | spl10_43
    | spl10_68
    | spl10_93
    | spl10_118 ),
    inference(sat_conversion,[],[f895]) ).

cnf(s62,plain,
    ( spl10_78
    | spl10_83
    | spl10_88
    | spl10_93
    | spl10_98 ),
    inference(sat_conversion,[],[f896]) ).

cnf(s65,plain,
    ( spl10_20
    | spl10_45
    | spl10_70
    | spl10_95
    | spl10_120 ),
    inference(sat_conversion,[],[f899]) ).

cnf(s66,plain,
    ( spl10_80
    | spl10_85
    | spl10_90
    | spl10_95
    | spl10_100 ),
    inference(sat_conversion,[],[f900]) ).

cnf(s67,plain,
    ( spl10_21
    | spl10_46
    | spl10_71
    | spl10_96
    | spl10_121 ),
    inference(sat_conversion,[],[f901]) ).

cnf(s68,plain,
    ( spl10_101
    | spl10_106
    | spl10_111
    | spl10_116
    | spl10_121 ),
    inference(sat_conversion,[],[f902]) ).

cnf(s73,plain,
    ( spl10_24
    | spl10_49
    | spl10_74
    | spl10_99
    | spl10_124 ),
    inference(sat_conversion,[],[f907]) ).

cnf(s77,plain,
    spl10_52,
    inference(sat_conversion,[],[f911]) ).

cnf(s78,plain,
    spl10_14,
    inference(sat_conversion,[],[f912]) ).

cnf(s79,plain,
    ( spl10_131
    | spl10_132
    | spl10_133
    | spl10_134
    | spl10_135 ),
    inference(sat_conversion,[],[f933]) ).

cnf(s81,plain,
    ( spl10_131
    | spl10_132
    | spl10_133
    | spl10_135
    | ~ spl10_137 ),
    inference(sat_conversion,[],[f943]) ).

cnf(s83,plain,
    ( spl10_131
    | spl10_132
    | spl10_133
    | spl10_134
    | ~ spl10_138 ),
    inference(sat_conversion,[],[f949]) ).

cnf(s85,plain,
    ( spl10_131
    | spl10_132
    | spl10_133
    | ~ spl10_137
    | ~ spl10_138 ),
    inference(sat_conversion,[],[f951]) ).

cnf(s93,plain,
    ( spl10_139
    | spl10_140
    | spl10_141
    | ~ spl10_145
    | ~ spl10_146 ),
    inference(sat_conversion,[],[f991]) ).

cnf(s101,plain,
    ( spl10_147
    | spl10_148
    | spl10_149
    | ~ spl10_152
    | ~ spl10_153 ),
    inference(sat_conversion,[],[f1027]) ).

cnf(s102,plain,
    ( spl10_147
    | spl10_148
    | ~ spl10_149
    | ~ spl10_152
    | ~ spl10_153 ),
    inference(sat_conversion,[],[f1028]) ).

cnf(s114,plain,
    ( spl10_161
    | spl10_162
    | spl10_165
    | ~ spl10_166
    | ~ spl10_167 ),
    inference(sat_conversion,[],[f1096]) ).

cnf(s118,plain,
    ( spl10_161
    | spl10_162
    | ~ spl10_165
    | ~ spl10_166
    | ~ spl10_167 ),
    inference(sat_conversion,[],[f1100]) ).

cnf(s119,plain,
    ( ~ spl10_2
    | spl10_6 ),
    inference(sat_conversion,[],[f1101]) ).

cnf(s120,plain,
    ( ~ spl10_3
    | spl10_11 ),
    inference(sat_conversion,[],[f1102]) ).

cnf(s121,plain,
    ( ~ spl10_4
    | spl10_16 ),
    inference(sat_conversion,[],[f1103]) ).

cnf(s122,plain,
    ( ~ spl10_5
    | spl10_21 ),
    inference(sat_conversion,[],[f1104]) ).

cnf(s123,plain,
    ( spl10_27
    | ~ spl10_31 ),
    inference(sat_conversion,[],[f1105]) ).

cnf(s124,plain,
    ( ~ spl10_33
    | spl10_37 ),
    inference(sat_conversion,[],[f1106]) ).

cnf(s127,plain,
    ( spl10_53
    | ~ spl10_61 ),
    inference(sat_conversion,[],[f1109]) ).

cnf(s128,plain,
    ( spl10_58
    | ~ spl10_62 ),
    inference(sat_conversion,[],[f1110]) ).

cnf(s129,plain,
    ( ~ spl10_64
    | spl10_68 ),
    inference(sat_conversion,[],[f1111]) ).

cnf(s130,plain,
    ( ~ spl10_65
    | spl10_73 ),
    inference(sat_conversion,[],[f1112]) ).

cnf(s131,plain,
    ( spl10_79
    | ~ spl10_91 ),
    inference(sat_conversion,[],[f1113]) ).

cnf(s132,plain,
    ( spl10_84
    | ~ spl10_92 ),
    inference(sat_conversion,[],[f1114]) ).

cnf(s133,plain,
    ( spl10_89
    | ~ spl10_93 ),
    inference(sat_conversion,[],[f1115]) ).

cnf(s138,plain,
    ( spl10_120
    | ~ spl10_124 ),
    inference(sat_conversion,[],[f1120]) ).

cnf(s139,plain,
    ( ~ spl10_131
    | spl10_168 ),
    inference(sat_conversion,[],[f1125]) ).

cnf(s140,plain,
    ( ~ spl10_131
    | ~ spl10_168 ),
    inference(sat_conversion,[],[f1126]) ).

cnf(s141,plain,
    ( ~ spl10_132
    | spl10_169 ),
    inference(sat_conversion,[],[f1131]) ).

cnf(s142,plain,
    ( ~ spl10_132
    | ~ spl10_170 ),
    inference(sat_conversion,[],[f1136]) ).

cnf(s143,plain,
    ( ~ spl10_139
    | spl10_171 ),
    inference(sat_conversion,[],[f1141]) ).

cnf(s144,plain,
    ( ~ spl10_139
    | ~ spl10_172 ),
    inference(sat_conversion,[],[f1146]) ).

cnf(s145,plain,
    ( ~ spl10_140
    | spl10_173 ),
    inference(sat_conversion,[],[f1151]) ).

cnf(s146,plain,
    ( ~ spl10_140
    | ~ spl10_173 ),
    inference(sat_conversion,[],[f1152]) ).

cnf(s147,plain,
    ( ~ spl10_147
    | spl10_174 ),
    inference(sat_conversion,[],[f1157]) ).

cnf(s148,plain,
    ( ~ spl10_147
    | ~ spl10_175 ),
    inference(sat_conversion,[],[f1162]) ).

cnf(s149,plain,
    ( ~ spl10_148
    | spl10_176 ),
    inference(sat_conversion,[],[f1167]) ).

cnf(s150,plain,
    ( ~ spl10_148
    | ~ spl10_177 ),
    inference(sat_conversion,[],[f1172]) ).

cnf(s156,plain,
    ( ~ spl10_161
    | ~ spl10_183 ),
    inference(sat_conversion,[],[f1202]) ).

cnf(s158,plain,
    ( ~ spl10_162
    | ~ spl10_185 ),
    inference(sat_conversion,[],[f1212]) ).

cnf(s160,plain,
    ( ~ spl10_52
    | ~ spl10_56
    | spl10_144 ),
    inference(sat_conversion,[],[f1240]) ).

cnf(s166,plain,
    ( ~ spl10_75
    | spl10_123
    | ~ spl10_163 ),
    inference(sat_conversion,[],[f1261]) ).

cnf(s177,plain,
    ( ~ spl10_69
    | spl10_159 ),
    inference(sat_conversion,[],[f1300]) ).

cnf(s186,plain,
    ( ~ spl10_16
    | ~ spl10_18 ),
    inference(sat_conversion,[],[f1343]) ).

cnf(s188,plain,
    ( ~ spl10_21
    | ~ spl10_22 ),
    inference(sat_conversion,[],[f1351]) ).

cnf(s189,plain,
    ( ~ spl10_16
    | ~ spl10_20 ),
    inference(sat_conversion,[],[f1353]) ).

cnf(s197,plain,
    ( spl10_84
    | ~ spl10_127 ),
    inference(sat_conversion,[],[f1390]) ).

cnf(s198,plain,
    ( spl10_38
    | ~ spl10_127 ),
    inference(sat_conversion,[],[f1391]) ).

cnf(s203,plain,
    ( ~ spl10_7
    | ~ spl10_127 ),
    inference(sat_conversion,[],[f1405]) ).

cnf(s208,plain,
    ( ~ spl10_82
    | ~ spl10_83 ),
    inference(sat_conversion,[],[f1420]) ).

cnf(s210,plain,
    ( ~ spl10_60
    | ~ spl10_127 ),
    inference(sat_conversion,[],[f1425]) ).

cnf(s211,plain,
    ( ~ spl10_8
    | ~ spl10_127 ),
    inference(sat_conversion,[],[f1427]) ).

cnf(s213,plain,
    ( ~ spl10_82
    | ~ spl10_84 ),
    inference(sat_conversion,[],[f1437]) ).

cnf(s219,plain,
    ( ~ spl10_52
    | ~ spl10_128 ),
    inference(sat_conversion,[],[f1458]) ).

cnf(s221,plain,
    ( ~ spl10_10
    | ~ spl10_52
    | ~ spl10_133 ),
    inference(sat_conversion,[],[f1478]) ).

cnf(s223,plain,
    ( spl10_8
    | ~ spl10_52
    | ~ spl10_133 ),
    inference(sat_conversion,[],[f1483]) ).

cnf(s228,plain,
    ( ~ spl10_68
    | ~ spl10_70 ),
    inference(sat_conversion,[],[f1510]) ).

cnf(s229,plain,
    ( ~ spl10_79
    | ~ spl10_129 ),
    inference(sat_conversion,[],[f1512]) ).

cnf(s232,plain,
    ( ~ spl10_88
    | spl10_152 ),
    inference(sat_conversion,[],[f1524]) ).

cnf(s237,plain,
    ( spl10_48
    | ~ spl10_60
    | ~ spl10_141 ),
    inference(sat_conversion,[],[f1548]) ).

cnf(s239,plain,
    ( ~ spl10_44
    | ~ spl10_45 ),
    inference(sat_conversion,[],[f1562]) ).

cnf(s241,plain,
    ( spl10_69
    | ~ spl10_89
    | ~ spl10_150 ),
    inference(sat_conversion,[],[f1566]) ).

cnf(s243,plain,
    ( spl10_74
    | ~ spl10_90
    | ~ spl10_150 ),
    inference(sat_conversion,[],[f1582]) ).

cnf(s245,plain,
    ( spl10_119
    | ~ spl10_130 ),
    inference(sat_conversion,[],[f1603]) ).

cnf(s246,plain,
    ( spl10_113
    | ~ spl10_130 ),
    inference(sat_conversion,[],[f1605]) ).

cnf(s247,plain,
    ( spl10_73
    | ~ spl10_130 ),
    inference(sat_conversion,[],[f1606]) ).

cnf(s248,plain,
    ( ~ spl10_100
    | ~ spl10_130 ),
    inference(sat_conversion,[],[f1612]) ).

cnf(s249,plain,
    ( ~ spl10_108
    | ~ spl10_130 ),
    inference(sat_conversion,[],[f1614]) ).

cnf(s250,plain,
    ( ~ spl10_49
    | ~ spl10_130 ),
    inference(sat_conversion,[],[f1616]) ).

cnf(s252,plain,
    ( ~ spl10_22
    | ~ spl10_130 ),
    inference(sat_conversion,[],[f1620]) ).

cnf(s253,plain,
    ( ~ spl10_99
    | ~ spl10_100 ),
    inference(sat_conversion,[],[f1632]) ).

cnf(s255,plain,
    ( spl10_110
    | ~ spl10_127 ),
    inference(sat_conversion,[],[f1650]) ).

cnf(s256,plain,
    ( spl10_50
    | ~ spl10_127 ),
    inference(sat_conversion,[],[f1653]) ).

cnf(s260,plain,
    ( ~ spl10_11
    | ~ spl10_14 ),
    inference(sat_conversion,[],[f1669]) ).

cnf(s262,plain,
    ( ~ spl10_14
    | ~ spl10_15 ),
    inference(sat_conversion,[],[f1677]) ).

cnf(s265,plain,
    ( ~ spl10_22
    | ~ spl10_23 ),
    inference(sat_conversion,[],[f1692]) ).

cnf(s266,plain,
    ( ~ spl10_22
    | ~ spl10_23 ),
    inference(sat_conversion,[],[f1694]) ).

cnf(s267,plain,
    ( ~ spl10_12
    | ~ spl10_14 ),
    inference(sat_conversion,[],[f1699]) ).

cnf(s269,plain,
    ( ~ spl10_16
    | ~ spl10_17 ),
    inference(sat_conversion,[],[f1708]) ).

cnf(s271,plain,
    ( ~ spl10_23
    | ~ spl10_24 ),
    inference(sat_conversion,[],[f1716]) ).

cnf(s272,plain,
    ( ~ spl10_25
    | ~ spl10_80
    | ~ spl10_134 ),
    inference(sat_conversion,[],[f1720]) ).

cnf(s273,plain,
    ( spl10_24
    | ~ spl10_80
    | ~ spl10_134 ),
    inference(sat_conversion,[],[f1722]) ).

cnf(s274,plain,
    ( ~ spl10_13
    | ~ spl10_14 ),
    inference(sat_conversion,[],[f1728]) ).

cnf(s275,plain,
    ( spl10_4
    | ~ spl10_76
    | ~ spl10_134 ),
    inference(sat_conversion,[],[f1740]) ).

cnf(s276,plain,
    ( ~ spl10_76
    | spl10_137 ),
    inference(sat_conversion,[],[f1742]) ).

cnf(s281,plain,
    ( ~ spl10_2
    | ~ spl10_4 ),
    inference(sat_conversion,[],[f1768]) ).

cnf(s283,plain,
    ( ~ spl10_6
    | ~ spl10_10 ),
    inference(sat_conversion,[],[f1777]) ).

cnf(s285,plain,
    ( spl10_9
    | ~ spl10_77
    | ~ spl10_134 ),
    inference(sat_conversion,[],[f1785]) ).

cnf(s286,plain,
    ( ~ spl10_77
    | ~ spl10_81
    | spl10_137 ),
    inference(sat_conversion,[],[f1788]) ).

cnf(s287,plain,
    ( spl10_19
    | ~ spl10_79
    | ~ spl10_134 ),
    inference(sat_conversion,[],[f1792]) ).

cnf(s289,plain,
    ( ~ spl10_6
    | ~ spl10_9 ),
    inference(sat_conversion,[],[f1806]) ).

cnf(s290,plain,
    ( ~ spl10_26
    | spl10_170 ),
    inference(sat_conversion,[],[f1816]) ).

cnf(s291,plain,
    ( spl10_6
    | ~ spl10_127 ),
    inference(sat_conversion,[],[f1832]) ).

cnf(s292,plain,
    ( spl10_2
    | ~ spl10_26
    | ~ spl10_169 ),
    inference(sat_conversion,[],[f1836]) ).

cnf(s293,plain,
    ( ~ spl10_22
    | ~ spl10_25 ),
    inference(sat_conversion,[],[f1838]) ).

cnf(s295,plain,
    ( ~ spl10_105
    | ~ spl10_121
    | spl10_138 ),
    inference(sat_conversion,[],[f1864]) ).

cnf(s296,plain,
    ( spl10_25
    | ~ spl10_105
    | ~ spl10_135 ),
    inference(sat_conversion,[],[f1866]) ).

cnf(s297,plain,
    ( spl10_7
    | ~ spl10_27
    | ~ spl10_169 ),
    inference(sat_conversion,[],[f1875]) ).

cnf(s299,plain,
    ( ~ spl10_27
    | ~ spl10_127 ),
    inference(sat_conversion,[],[f1879]) ).

cnf(s301,plain,
    ( ~ spl10_30
    | ~ spl10_127 ),
    inference(sat_conversion,[],[f1891]) ).

cnf(s302,plain,
    ( ~ spl10_28
    | ~ spl10_127 ),
    inference(sat_conversion,[],[f1900]) ).

cnf(s303,plain,
    ( ~ spl10_14
    | ~ spl10_28
    | ~ spl10_169 ),
    inference(sat_conversion,[],[f1902]) ).

cnf(s304,plain,
    ( ~ spl10_29
    | ~ spl10_127 ),
    inference(sat_conversion,[],[f1911]) ).

cnf(s305,plain,
    ( ~ spl10_18
    | ~ spl10_29
    | ~ spl10_169 ),
    inference(sat_conversion,[],[f1913]) ).

cnf(s307,plain,
    ( ~ spl10_41
    | ~ spl10_43 ),
    inference(sat_conversion,[],[f1938]) ).

cnf(s308,plain,
    ( ~ spl10_41
    | ~ spl10_44 ),
    inference(sat_conversion,[],[f1944]) ).

cnf(s309,plain,
    ( ~ spl10_116
    | ~ spl10_120 ),
    inference(sat_conversion,[],[f1954]) ).

cnf(s310,plain,
    ( spl10_15
    | ~ spl10_103
    | ~ spl10_135 ),
    inference(sat_conversion,[],[f1956]) ).

cnf(s311,plain,
    ( spl10_5
    | ~ spl10_101
    | ~ spl10_135 ),
    inference(sat_conversion,[],[f1965]) ).

cnf(s312,plain,
    ( ~ spl10_101
    | spl10_138 ),
    inference(sat_conversion,[],[f1967]) ).

cnf(s318,plain,
    ( ~ spl10_66
    | ~ spl10_67 ),
    inference(sat_conversion,[],[f1999]) ).

cnf(s319,plain,
    ( ~ spl10_81
    | ~ spl10_83 ),
    inference(sat_conversion,[],[f2001]) ).

cnf(s324,plain,
    ( ~ spl10_96
    | ~ spl10_99 ),
    inference(sat_conversion,[],[f2030]) ).

cnf(s325,plain,
    ( ~ spl10_113
    | ~ spl10_114 ),
    inference(sat_conversion,[],[f2032]) ).

cnf(s327,plain,
    ( ~ spl10_119
    | spl10_160 ),
    inference(sat_conversion,[],[f2037]) ).

cnf(s328,plain,
    ( ~ spl10_106
    | ~ spl10_110 ),
    inference(sat_conversion,[],[f2042]) ).

cnf(s330,plain,
    ( ~ spl10_80
    | ~ spl10_99
    | ~ spl10_137 ),
    inference(sat_conversion,[],[f2046]) ).

cnf(s333,plain,
    ( ~ spl10_73
    | ~ spl10_74 ),
    inference(sat_conversion,[],[f2064]) ).

cnf(s334,plain,
    ( ~ spl10_108
    | ~ spl10_110 ),
    inference(sat_conversion,[],[f2066]) ).

cnf(s345,plain,
    ( ~ spl10_70
    | ~ spl10_74
    | spl10_166 ),
    inference(sat_conversion,[],[f2116]) ).

cnf(s348,plain,
    ( ~ spl10_18
    | ~ spl10_20 ),
    inference(sat_conversion,[],[f2133]) ).

cnf(s349,plain,
    ( ~ spl10_18
    | ~ spl10_20 ),
    inference(sat_conversion,[],[f2135]) ).

cnf(s350,plain,
    ( spl10_20
    | ~ spl10_104
    | ~ spl10_135 ),
    inference(sat_conversion,[],[f2143]) ).

cnf(s355,plain,
    ( ~ spl10_5
    | ~ spl10_21
    | spl10_183 ),
    inference(sat_conversion,[],[f2150]) ).

cnf(s359,plain,
    ( ~ spl10_103
    | ~ spl10_111
    | spl10_138 ),
    inference(sat_conversion,[],[f2173]) ).

cnf(s366,plain,
    ( spl10_114
    | ~ spl10_118
    | ~ spl10_160 ),
    inference(sat_conversion,[],[f2206]) ).

cnf(s375,plain,
    ( ~ spl10_97
    | ~ spl10_99 ),
    inference(sat_conversion,[],[f2255]) ).

cnf(s380,plain,
    ( ~ spl10_67
    | ~ spl10_70 ),
    inference(sat_conversion,[],[f2282]) ).

cnf(s381,plain,
    ( ~ spl10_69
    | ~ spl10_70 ),
    inference(sat_conversion,[],[f2284]) ).

cnf(s386,plain,
    ( ~ spl10_73
    | ~ spl10_113
    | spl10_163 ),
    inference(sat_conversion,[],[f2297]) ).

cnf(s387,plain,
    ( ~ spl10_89
    | ~ spl10_93
    | spl10_152 ),
    inference(sat_conversion,[],[f2308]) ).

cnf(s389,plain,
    ( ~ spl10_17
    | ~ spl10_18 ),
    inference(sat_conversion,[],[f2316]) ).

cnf(s391,plain,
    ( ~ spl10_79
    | ~ spl10_91
    | spl10_137 ),
    inference(sat_conversion,[],[f2327]) ).

cnf(s392,plain,
    ( ~ spl10_83
    | ~ spl10_84 ),
    inference(sat_conversion,[],[f2329]) ).

cnf(s395,plain,
    ( ~ spl10_78
    | ~ spl10_79 ),
    inference(sat_conversion,[],[f2350]) ).

cnf(s396,plain,
    ( ~ spl10_81
    | ~ spl10_84 ),
    inference(sat_conversion,[],[f2352]) ).

cnf(s397,plain,
    ( ~ spl10_25
    | ~ spl10_105
    | spl10_135 ),
    inference(sat_conversion,[],[f2365]) ).

cnf(s398,plain,
    ( spl10_5
    | ~ spl10_21
    | ~ spl10_183 ),
    inference(sat_conversion,[],[f2383]) ).

cnf(s399,plain,
    ( ~ spl10_51
    | ~ spl10_52 ),
    inference(sat_conversion,[],[f2385]) ).

cnf(s400,plain,
    ( ~ spl10_83
    | ~ spl10_85 ),
    inference(sat_conversion,[],[f2387]) ).

cnf(s410,plain,
    ( ~ spl10_84
    | ~ spl10_85 ),
    inference(sat_conversion,[],[f2450]) ).

cnf(s413,plain,
    ( ~ spl10_107
    | ~ spl10_110 ),
    inference(sat_conversion,[],[f2456]) ).

cnf(s414,plain,
    ( ~ spl10_65
    | ~ spl10_73
    | spl10_166 ),
    inference(sat_conversion,[],[f2458]) ).

cnf(s415,plain,
    ( ~ spl10_105
    | ~ spl10_124
    | ~ spl10_138 ),
    inference(sat_conversion,[],[f2460]) ).

cnf(s423,plain,
    ( ~ spl10_47
    | ~ spl10_50 ),
    inference(sat_conversion,[],[f2558]) ).

cnf(s424,plain,
    ( ~ spl10_49
    | ~ spl10_50 ),
    inference(sat_conversion,[],[f2560]) ).

cnf(s427,plain,
    ( ~ spl10_83
    | ~ spl10_87
    | spl10_145 ),
    inference(sat_conversion,[],[f2566]) ).

cnf(s428,plain,
    ( ~ spl10_83
    | ~ spl10_87
    | spl10_152 ),
    inference(sat_conversion,[],[f2568]) ).

cnf(s430,plain,
    ( spl10_28
    | ~ spl10_56
    | ~ spl10_141 ),
    inference(sat_conversion,[],[f2576]) ).

cnf(s432,plain,
    ( spl10_103
    | ~ spl10_111
    | ~ spl10_153 ),
    inference(sat_conversion,[],[f2591]) ).

cnf(s434,plain,
    ( ~ spl10_56
    | ~ spl10_58 ),
    inference(sat_conversion,[],[f2603]) ).

cnf(s435,plain,
    ( ~ spl10_77
    | ~ spl10_79 ),
    inference(sat_conversion,[],[f2605]) ).

cnf(s437,plain,
    ( ~ spl10_14
    | ~ spl10_18
    | spl10_175 ),
    inference(sat_conversion,[],[f2613]) ).

cnf(s443,plain,
    ( spl10_78
    | ~ spl10_86
    | ~ spl10_152 ),
    inference(sat_conversion,[],[f2654]) ).

cnf(s454,plain,
    ( ~ spl10_7
    | spl10_172 ),
    inference(sat_conversion,[],[f2743]) ).

cnf(s462,plain,
    ( ~ spl10_58
    | ~ spl10_59 ),
    inference(sat_conversion,[],[f2769]) ).

cnf(s463,plain,
    ( ~ spl10_38
    | spl10_177 ),
    inference(sat_conversion,[],[f2772]) ).

cnf(s467,plain,
    ( ~ spl10_14
    | ~ spl10_126 ),
    inference(sat_conversion,[],[f2802]) ).

cnf(s470,plain,
    ( ~ spl10_59
    | spl10_67
    | ~ spl10_144 ),
    inference(sat_conversion,[],[f2833]) ).

cnf(s472,plain,
    ( ~ spl10_17
    | ~ spl10_19 ),
    inference(sat_conversion,[],[f2841]) ).

cnf(s474,plain,
    ( ~ spl10_41
    | ~ spl10_45 ),
    inference(sat_conversion,[],[f2845]) ).

cnf(s476,plain,
    ( ~ spl10_14
    | ~ spl10_19
    | ~ spl10_175 ),
    inference(sat_conversion,[],[f2851]) ).

cnf(s480,plain,
    ( spl10_54
    | ~ spl10_66
    | ~ spl10_159 ),
    inference(sat_conversion,[],[f2869]) ).

cnf(s484,plain,
    ( spl10_55
    | ~ spl10_111
    | ~ spl10_151 ),
    inference(sat_conversion,[],[f2875]) ).

cnf(s487,plain,
    ( ~ spl10_36
    | ~ spl10_37 ),
    inference(sat_conversion,[],[f2888]) ).

cnf(s488,plain,
    ( ~ spl10_66
    | ~ spl10_68 ),
    inference(sat_conversion,[],[f2890]) ).

cnf(s493,plain,
    ( spl10_17
    | ~ spl10_29
    | ~ spl10_169 ),
    inference(sat_conversion,[],[f2927]) ).

cnf(s494,plain,
    ( ~ spl10_38
    | ~ spl10_40 ),
    inference(sat_conversion,[],[f2930]) ).

cnf(s496,plain,
    ( ~ spl10_58
    | ~ spl10_60 ),
    inference(sat_conversion,[],[f2934]) ).

cnf(s499,plain,
    ( ~ spl10_36
    | ~ spl10_40 ),
    inference(sat_conversion,[],[f2949]) ).

cnf(s501,plain,
    ( ~ spl10_60
    | ~ spl10_73
    | ~ spl10_144 ),
    inference(sat_conversion,[],[f2953]) ).

cnf(s502,plain,
    ( ~ spl10_14
    | ~ spl10_68
    | ~ spl10_174 ),
    inference(sat_conversion,[],[f2955]) ).

cnf(s506,plain,
    ( ~ spl10_37
    | ~ spl10_40 ),
    inference(sat_conversion,[],[f2989]) ).

cnf(s508,plain,
    ( ~ spl10_42
    | ~ spl10_43 ),
    inference(sat_conversion,[],[f2997]) ).

cnf(s509,plain,
    ( ~ spl10_40
    | ~ spl10_73
    | ~ spl10_176 ),
    inference(sat_conversion,[],[f3001]) ).

cnf(s511,plain,
    ( ~ spl10_29
    | ~ spl10_41
    | spl10_170 ),
    inference(sat_conversion,[],[f3005]) ).

cnf(s515,plain,
    ( ~ spl10_62
    | ~ spl10_64 ),
    inference(sat_conversion,[],[f3033]) ).

cnf(s516,plain,
    ( ~ spl10_7
    | ~ spl10_27
    | spl10_169 ),
    inference(sat_conversion,[],[f3035]) ).

cnf(s518,plain,
    ( ~ spl10_6
    | ~ spl10_8 ),
    inference(sat_conversion,[],[f3068]) ).

cnf(s519,plain,
    ( ~ spl10_112
    | ~ spl10_113 ),
    inference(sat_conversion,[],[f3070]) ).

cnf(s520,plain,
    ( ~ spl10_8
    | ~ spl10_14
    | ~ spl10_172 ),
    inference(sat_conversion,[],[f3074]) ).

cnf(s523,plain,
    ( ~ spl10_107
    | spl10_146 ),
    inference(sat_conversion,[],[f3114]) ).

cnf(s525,plain,
    ( ~ spl10_27
    | ~ spl10_35
    | ~ spl10_170 ),
    inference(sat_conversion,[],[f3120]) ).

cnf(s532,plain,
    ( spl10_100
    | ~ spl10_129 ),
    inference(sat_conversion,[],[f3170]) ).

cnf(s534,plain,
    ( spl10_16
    | ~ spl10_129 ),
    inference(sat_conversion,[],[f3174]) ).

cnf(s539,plain,
    ( ~ spl10_119
    | ~ spl10_120 ),
    inference(sat_conversion,[],[f3193]) ).

cnf(s542,plain,
    ( ~ spl10_14
    | ~ spl10_66
    | spl10_174 ),
    inference(sat_conversion,[],[f3213]) ).

cnf(s544,plain,
    ( ~ spl10_43
    | ~ spl10_59
    | spl10_141 ),
    inference(sat_conversion,[],[f3218]) ).

cnf(s546,plain,
    ( spl10_99
    | ~ spl10_130 ),
    inference(sat_conversion,[],[f3241]) ).

cnf(s547,plain,
    ( spl10_101
    | ~ spl10_130 ),
    inference(sat_conversion,[],[f3243]) ).

cnf(s549,plain,
    ( ~ spl10_82
    | ~ spl10_85 ),
    inference(sat_conversion,[],[f3253]) ).

cnf(s550,plain,
    ( ~ spl10_5
    | ~ spl10_101
    | spl10_135 ),
    inference(sat_conversion,[],[f3255]) ).

cnf(s553,plain,
    ( ~ spl10_28
    | ~ spl10_37
    | ~ spl10_170 ),
    inference(sat_conversion,[],[f3282]) ).

cnf(s554,plain,
    ( ~ spl10_17
    | ~ spl10_29
    | spl10_169 ),
    inference(sat_conversion,[],[f3291]) ).

cnf(s557,plain,
    ( ~ spl10_1
    | ~ spl10_5 ),
    inference(sat_conversion,[],[f3304]) ).

cnf(s559,plain,
    ( ~ spl10_37
    | ~ spl10_39 ),
    inference(sat_conversion,[],[f3319]) ).

cnf(s561,plain,
    ( ~ spl10_46
    | ~ spl10_47 ),
    inference(sat_conversion,[],[f3332]) ).

cnf(s565,plain,
    ( ~ spl10_34
    | ~ spl10_35 ),
    inference(sat_conversion,[],[f3407]) ).

cnf(s571,plain,
    ( ~ spl10_62
    | ~ spl10_65 ),
    inference(sat_conversion,[],[f3419]) ).

cnf(s572,plain,
    ( ~ spl10_78
    | ~ spl10_80 ),
    inference(sat_conversion,[],[f3421]) ).

cnf(s573,plain,
    ( ~ spl10_86
    | ~ spl10_88 ),
    inference(sat_conversion,[],[f3423]) ).

cnf(s575,plain,
    ( ~ spl10_106
    | ~ spl10_107 ),
    inference(sat_conversion,[],[f3427]) ).

cnf(s576,plain,
    ( ~ spl10_82
    | spl10_145 ),
    inference(sat_conversion,[],[f3434]) ).

cnf(s579,plain,
    ( ~ spl10_14
    | ~ spl10_70
    | ~ spl10_174 ),
    inference(sat_conversion,[],[f3442]) ).

cnf(s589,plain,
    ( spl10_107
    | ~ spl10_130 ),
    inference(sat_conversion,[],[f3495]) ).

cnf(s593,plain,
    ( spl10_47
    | ~ spl10_130 ),
    inference(sat_conversion,[],[f3503]) ).

cnf(s594,plain,
    ( spl10_28
    | ~ spl10_36
    | ~ spl10_177 ),
    inference(sat_conversion,[],[f3508]) ).

cnf(s597,plain,
    ( ~ spl10_113
    | spl10_153 ),
    inference(sat_conversion,[],[f3517]) ).

cnf(s599,plain,
    ( ~ spl10_6
    | ~ spl10_7 ),
    inference(sat_conversion,[],[f3544]) ).

cnf(s600,plain,
    ( spl10_49
    | ~ spl10_85
    | ~ spl10_142 ),
    inference(sat_conversion,[],[f3546]) ).

cnf(s604,plain,
    ( ~ spl10_2
    | ~ spl10_5 ),
    inference(sat_conversion,[],[f3576]) ).

cnf(s605,plain,
    ( ~ spl10_98
    | ~ spl10_99 ),
    inference(sat_conversion,[],[f3578]) ).

cnf(s609,plain,
    ( ~ spl10_78
    | ~ spl10_81
    | ~ spl10_145 ),
    inference(sat_conversion,[],[f3590]) ).

cnf(s616,plain,
    ( spl10_77
    | ~ spl10_81
    | ~ spl10_145 ),
    inference(sat_conversion,[],[f3633]) ).

cnf(s618,plain,
    ( ~ spl10_28
    | ~ spl10_36
    | spl10_177 ),
    inference(sat_conversion,[],[f3648]) ).

cnf(s634,plain,
    ( ~ spl10_8
    | ~ spl10_52
    | spl10_133 ),
    inference(sat_conversion,[],[f3720]) ).

cnf(s637,plain,
    ( ~ spl10_7
    | ~ spl10_10 ),
    inference(sat_conversion,[],[f3756]) ).

cnf(s639,plain,
    ( ~ spl10_26
    | ~ spl10_30 ),
    inference(sat_conversion,[],[f3760]) ).

cnf(s645,plain,
    ( ~ spl10_30
    | ~ spl10_47
    | ~ spl10_170 ),
    inference(sat_conversion,[],[f3776]) ).

cnf(s656,plain,
    ( ~ spl10_74
    | ~ spl10_75 ),
    inference(sat_conversion,[],[f3872]) ).

cnf(s657,plain,
    ( ~ spl10_86
    | ~ spl10_90 ),
    inference(sat_conversion,[],[f3874]) ).

cnf(s662,plain,
    ( ~ spl10_2
    | ~ spl10_6
    | spl10_172 ),
    inference(sat_conversion,[],[f3889]) ).

cnf(s665,plain,
    ( ~ spl10_90
    | spl10_98
    | ~ spl10_152 ),
    inference(sat_conversion,[],[f3896]) ).

cnf(s673,plain,
    ( ~ spl10_78
    | ~ spl10_86
    | spl10_137 ),
    inference(sat_conversion,[],[f3941]) ).

cnf(s674,plain,
    ( ~ spl10_92
    | ~ spl10_93 ),
    inference(sat_conversion,[],[f3951]) ).

cnf(s677,plain,
    ( ~ spl10_101
    | ~ spl10_104 ),
    inference(sat_conversion,[],[f3961]) ).

cnf(s678,plain,
    ( ~ spl10_20
    | ~ spl10_104
    | spl10_135 ),
    inference(sat_conversion,[],[f3963]) ).

cnf(s687,plain,
    ( ~ spl10_27
    | ~ spl10_31
    | spl10_170 ),
    inference(sat_conversion,[],[f3978]) ).

cnf(s713,plain,
    ( ~ spl10_103
    | spl10_111
    | ~ spl10_138 ),
    inference(sat_conversion,[],[f4103]) ).

cnf(s738,plain,
    ( ~ spl10_37
    | ~ spl10_38 ),
    inference(sat_conversion,[],[f4287]) ).

cnf(s739,plain,
    ( ~ spl10_17
    | ~ spl10_20 ),
    inference(sat_conversion,[],[f4309]) ).

cnf(s743,plain,
    ( ~ spl10_21
    | ~ spl10_23 ),
    inference(sat_conversion,[],[f4358]) ).

cnf(s746,plain,
    ( ~ spl10_23
    | ~ spl10_25 ),
    inference(sat_conversion,[],[f4380]) ).

cnf(s747,plain,
    ( ~ spl10_23
    | ~ spl10_25 ),
    inference(sat_conversion,[],[f4382]) ).

cnf(s749,plain,
    ( ~ spl10_52
    | ~ spl10_53 ),
    inference(sat_conversion,[],[f4399]) ).

cnf(s752,plain,
    ( ~ spl10_52
    | ~ spl10_55 ),
    inference(sat_conversion,[],[f4412]) ).

cnf(s763,plain,
    ( ~ spl10_71
    | spl10_103
    | ~ spl10_163 ),
    inference(sat_conversion,[],[f4426]) ).

cnf(s769,plain,
    ( ~ spl10_65
    | ~ spl10_113
    | spl10_151 ),
    inference(sat_conversion,[],[f4441]) ).

cnf(s770,plain,
    ( spl10_83
    | ~ spl10_87
    | ~ spl10_152 ),
    inference(sat_conversion,[],[f4515]) ).

cnf(s771,plain,
    ( spl10_55
    | ~ spl10_71
    | ~ spl10_166 ),
    inference(sat_conversion,[],[f4517]) ).

cnf(s773,plain,
    ( ~ spl10_25
    | spl10_183 ),
    inference(sat_conversion,[],[f4527]) ).

cnf(s777,plain,
    ( spl10_22
    | ~ spl10_30
    | ~ spl10_169 ),
    inference(sat_conversion,[],[f4558]) ).

cnf(s779,plain,
    ( ~ spl10_86
    | ~ spl10_87 ),
    inference(sat_conversion,[],[f4586]) ).

cnf(s780,plain,
    ( ~ spl10_115
    | ~ spl10_125
    | ~ spl10_153 ),
    inference(sat_conversion,[],[f4588]) ).

cnf(s781,plain,
    ( ~ spl10_123
    | ~ spl10_125 ),
    inference(sat_conversion,[],[f4590]) ).

cnf(s783,plain,
    ( ~ spl10_8
    | spl10_36
    | ~ spl10_171 ),
    inference(sat_conversion,[],[f4593]) ).

cnf(s785,plain,
    ( ~ spl10_77
    | spl10_81
    | ~ spl10_137 ),
    inference(sat_conversion,[],[f4597]) ).

cnf(s786,plain,
    ( ~ spl10_36
    | ~ spl10_39 ),
    inference(sat_conversion,[],[f4653]) ).

cnf(s790,plain,
    ( ~ spl10_105
    | ~ spl10_125
    | ~ spl10_138 ),
    inference(sat_conversion,[],[f4683]) ).

cnf(s791,plain,
    ( ~ spl10_121
    | ~ spl10_125 ),
    inference(sat_conversion,[],[f4685]) ).

cnf(s795,plain,
    ( spl10_125
    | ~ spl10_130 ),
    inference(sat_conversion,[],[f4702]) ).

cnf(s797,plain,
    ( ~ spl10_47
    | ~ spl10_48 ),
    inference(sat_conversion,[],[f4727]) ).

cnf(s798,plain,
    ( ~ spl10_117
    | ~ spl10_119 ),
    inference(sat_conversion,[],[f4767]) ).

cnf(s802,plain,
    ( ~ spl10_52
    | ~ spl10_54 ),
    inference(sat_conversion,[],[f4806]) ).

cnf(s804,plain,
    ( ~ spl10_59
    | ~ spl10_87
    | spl10_150 ),
    inference(sat_conversion,[],[f4825]) ).

cnf(s805,plain,
    ( ~ spl10_95
    | ~ spl10_99
    | spl10_167 ),
    inference(sat_conversion,[],[f4841]) ).

cnf(s806,plain,
    ( ~ spl10_35
    | ~ spl10_47
    | spl10_185 ),
    inference(sat_conversion,[],[f4846]) ).

cnf(s807,plain,
    ( ~ spl10_45
    | spl10_97
    | ~ spl10_180 ),
    inference(sat_conversion,[],[f4848]) ).

cnf(s814,plain,
    ( ~ spl10_29
    | ~ spl10_81
    | spl10_142 ),
    inference(sat_conversion,[],[f4872]) ).

cnf(s822,plain,
    ( ~ spl10_14
    | spl10_66
    | ~ spl10_174 ),
    inference(sat_conversion,[],[f4914]) ).

cnf(s823,plain,
    ( ~ spl10_116
    | ~ spl10_119 ),
    inference(sat_conversion,[],[f4918]) ).

cnf(s824,plain,
    ( ~ spl10_43
    | ~ spl10_87
    | spl10_180 ),
    inference(sat_conversion,[],[f4923]) ).

cnf(s825,plain,
    ~ spl10_126,
    inference(rat,[],[s467,s78]) ).

cnf(s826,plain,
    ~ spl10_13,
    inference(rat,[],[s274,s78]) ).

cnf(s827,plain,
    ~ spl10_12,
    inference(rat,[],[s267,s78]) ).

cnf(s828,plain,
    ~ spl10_15,
    inference(rat,[],[s262,s78]) ).

cnf(s829,plain,
    ~ spl10_11,
    inference(rat,[],[s260,s78]) ).

cnf(s830,plain,
    ~ spl10_3,
    inference(rat,[],[s120,s829]) ).

cnf(s831,plain,
    ~ spl10_54,
    inference(rat,[],[s802,s77]) ).

cnf(s832,plain,
    ~ spl10_55,
    inference(rat,[],[s752,s77]) ).

cnf(s833,plain,
    ~ spl10_53,
    inference(rat,[],[s749,s77]) ).

cnf(s834,plain,
    ~ spl10_51,
    inference(rat,[],[s399,s77]) ).

cnf(s835,plain,
    ~ spl10_128,
    inference(rat,[],[s219,s77]) ).

cnf(s836,plain,
    ~ spl10_61,
    inference(rat,[],[s127,s833]) ).

cnf(s837,plain,
    ( spl10_60
    | spl10_65
    | spl10_70
    | spl10_75 ),
    inference(rat,[],[s56,s832]) ).

cnf(s838,plain,
    ( spl10_40
    | spl10_65
    | spl10_90
    | spl10_115 ),
    inference(rat,[],[s55,s828]) ).

cnf(s839,plain,
    ( spl10_59
    | spl10_64
    | spl10_69
    | spl10_74 ),
    inference(rat,[],[s54,s831]) ).

cnf(s842,plain,
    ( spl10_37
    | spl10_62
    | spl10_87
    | spl10_112 ),
    inference(rat,[],[s49,s827]) ).

cnf(s843,plain,
    ( spl10_56
    | spl10_66
    | spl10_71 ),
    inference(rat,[],[s48,s836,s834]) ).

cnf(s844,plain,
    ( spl10_36
    | spl10_86
    | spl10_111 ),
    inference(rat,[],[s47,s836,s829]) ).

cnf(s845,plain,
    ( spl10_5
    | spl10_10
    | spl10_20
    | spl10_25 ),
    inference(rat,[],[s36,s828]) ).

cnf(s846,plain,
    ( spl10_5
    | spl10_30
    | spl10_80
    | spl10_105 ),
    inference(rat,[],[s35,s832]) ).

cnf(s847,plain,
    ( spl10_4
    | spl10_29
    | spl10_79
    | spl10_104 ),
    inference(rat,[],[s33,s831]) ).

cnf(s848,plain,
    ( spl10_8
    | spl10_18
    | spl10_23 ),
    inference(rat,[],[s32,s826,s830]) ).

cnf(s849,plain,
    ( spl10_28
    | spl10_78
    | spl10_103 ),
    inference(rat,[],[s31,s833,s830]) ).

cnf(s850,plain,
    ( spl10_2
    | spl10_7
    | spl10_17
    | spl10_22 ),
    inference(rat,[],[s30,s827]) ).

cnf(s853,plain,
    ( spl10_127
    | spl10_129
    | spl10_130 ),
    inference(rat,[],[s26,s835,s825]) ).

cnf(s855,plain,
    ( spl10_1
    | spl10_2
    | spl10_4
    | spl10_5 ),
    inference(rat,[],[s1,s830]) ).

cnf(s856,plain,
    ( spl10_36
    | spl10_33
    | spl10_28
    | spl10_31
    | spl10_26
    | spl10_111
    | spl10_115
    | spl10_112
    | spl10_46
    | spl10_48 ),
    inference(rat,[],[s571,s838,s842,s494,s738,s42,s307,s657,s779,s38,s844]) ).

cnf(s857,plain,
    ( ~ spl10_167
    | spl10_162
    | spl10_161
    | ~ spl10_166 ),
    inference(rat,[],[s114,s118]) ).

cnf(s858,plain,
    ( spl10_33
    | spl10_30
    | ~ spl10_29
    | spl10_91
    | spl10_80
    | spl10_28
    | spl10_31
    | spl10_26
    | spl10_111
    | spl10_16
    | spl10_6
    | spl10_161 ),
    inference(rat,[],[s806,s158,s46,s857,s805,s66,s243,s807,s600,s804,s824,s814,s414,s842,s37,s837,s128,s430,s237,s462,s544,s839,s177,s129,s579,s480,s488,s542,s57,s307,s42,s463,s487,s499,s594,s856,s250,s248,s797,s561,s423,s593,s575,s589,s375,s546,s333,s519,s823,s245,s780,s597,s166,s386,s246,s247,s781,s795,s853,s534,s291,s78,s831]) ).

cnf(s859,plain,
    ( spl10_28
    | spl10_31
    | spl10_26
    | spl10_103
    | ~ spl10_17
    | spl10_6
    | spl10_161
    | spl10_22
    | spl10_4 ),
    inference(rat,[],[s60,s785,s132,s814,s410,s549,s600,s66,s805,s857,s158,s806,s414,s46,s838,s474,s673,s657,s779,s38,s844,s487,s506,s124,s858,s777,s554,s847,s131,s395,s572,s849,s250,s248,s247,s561,s423,s593,s677,s547,s375,s546,s780,s795,s432,s597,s246,s853,s534,s269,s291]) ).

cnf(s860,plain,
    ( ~ spl10_60
    | spl10_77
    | spl10_31
    | spl10_71
    | spl10_118
    | spl10_97
    | spl10_106
    | spl10_48
    | ~ spl10_73
    | spl10_18
    | spl10_6 ),
    inference(rat,[],[s133,s241,s61,s804,s544,s60,s839,s576,s132,s177,s129,s616,s396,s480,s488,s37,s843,s160,s237,s501,s333,s831,s77]) ).

cnf(s862,plain,
    ( ~ spl10_93
    | spl10_152 ),
    inference(rat,[],[s133,s387]) ).

cnf(s863,plain,
    ( ~ spl10_85
    | ~ spl10_79
    | ~ spl10_99 ),
    inference(rat,[],[s862,s62,s232,s770,s60,s132,s400,s410,s549,s605,s375,s435,s395]) ).

cnf(s864,plain,
    ( ~ spl10_37
    | spl10_34
    | spl10_29
    | spl10_31
    | spl10_26
    | ~ spl10_130 ),
    inference(rat,[],[s308,s38,s44,s487,s559,s250,s561,s593]) ).

cnf(s865,plain,
    ( spl10_83
    | ~ spl10_87
    | spl10_78
    | spl10_98 ),
    inference(rat,[],[s62,s862,s232,s770]) ).

cnf(s866,plain,
    ( spl10_147
    | ~ spl10_152
    | ~ spl10_153
    | spl10_148 ),
    inference(rat,[],[s101,s102]) ).

cnf(s867,plain,
    ( ~ spl10_65
    | spl10_37
    | spl10_162
    | spl10_34
    | spl10_78
    | spl10_29
    | ~ spl10_28
    | spl10_111
    | spl10_120
    | spl10_112
    | ~ spl10_153
    | ~ spl10_73
    | spl10_49
    | ~ spl10_99
    | spl10_20
    | spl10_161 ),
    inference(rat,[],[s866,s147,s428,s579,s865,s65,s239,s150,s44,s618,s786,s844,s779,s842,s805,s857,s414,s571,s605,s78]) ).

cnf(s868,plain,
    ( ~ spl10_70
    | spl10_71
    | spl10_74 ),
    inference(rat,[],[s470,s160,s839,s843,s129,s542,s228,s380,s381,s579,s77,s78]) ).

cnf(s869,plain,
    ( spl10_31
    | spl10_26
    | spl10_103
    | spl10_10
    | ~ spl10_17
    | spl10_6
    | spl10_161
    | spl10_22
    | spl10_4 ),
    inference(rat,[],[s867,s864,s158,s565,s806,s837,s45,s860,s863,s395,s435,s847,s554,s303,s859,s739,s389,s250,s797,s593,s575,s413,s589,s677,s547,s375,s546,s519,s539,s166,s781,s795,s366,s327,s245,s325,s432,s597,s868,s763,s386,s246,s333,s247,s853,s534,s269,s291,s78]) ).

cnf(s870,plain,
    ( ~ spl10_31
    | spl10_71
    | spl10_118
    | spl10_103
    | spl10_112
    | spl10_104
    | spl10_110
    | spl10_48
    | ~ spl10_73
    | ~ spl10_99
    | spl10_10
    | ~ spl10_17
    | spl10_7
    | spl10_4 ),
    inference(rat,[],[s133,s61,s241,s544,s804,s839,s177,s129,s480,s488,s842,s843,s128,s160,s237,s496,s501,s553,s45,s849,s863,s395,s847,s554,s525,s297,s687,s123,s389,s333,s831,s77]) ).

cnf(s871,plain,
    ( spl10_7
    | spl10_6
    | ~ spl10_5
    | spl10_4
    | spl10_2 ),
    inference(rat,[],[s867,s158,s565,s806,s553,s45,s837,s849,s860,s863,s395,s435,s847,s554,s290,s292,s869,s870,s868,s432,s763,s366,s166,s310,s327,s539,s325,s386,s519,s597,s333,s375,s550,s677,s413,s575,s797,s781,s245,s246,s247,s250,s546,s547,s589,s593,s795,s221,s853,s634,s534,s848,s269,s389,s739,s850,s743,s188,s156,s355,s122,s291,s828,s77]) ).

cnf(s872,plain,
    ~ spl10_131,
    inference(rat,[],[s139,s140]) ).

cnf(s873,plain,
    ( ~ spl10_79
    | spl10_103
    | ~ spl10_138
    | spl10_19
    | spl10_133 ),
    inference(rat,[],[s141,s303,s83,s849,s287,s395,s78,s872]) ).

cnf(s874,plain,
    ( ~ spl10_37
    | ~ spl10_28
    | spl10_31
    | ~ spl10_29
    | spl10_46 ),
    inference(rat,[],[s38,s511,s290,s487,s553]) ).

cnf(s875,plain,
    ( spl10_78
    | spl10_62
    | spl10_31
    | spl10_76
    | ~ spl10_29
    | spl10_91
    | spl10_103
    | spl10_112
    | spl10_96
    | spl10_98
    | spl10_46 ),
    inference(rat,[],[s319,s58,s865,s779,s842,s874,s849]) ).

cnf(s876,plain,
    ( ~ spl10_58
    | spl10_71
    | spl10_74 ),
    inference(rat,[],[s839,s177,s129,s480,s488,s843,s434,s462,s831]) ).

cnf(s877,plain,
    ( spl10_86
    | spl10_58
    | spl10_76
    | spl10_91
    | spl10_111
    | spl10_96
    | spl10_108
    | spl10_8 ),
    inference(rat,[],[s41,s124,s319,s487,s58,s844]) ).

cnf(s878,plain,
    ( spl10_6
    | ~ spl10_5
    | spl10_4
    | spl10_2 ),
    inference(rat,[],[s673,s875,s123,s877,s128,s876,s275,s85,s83,s516,s141,s493,s847,s131,s873,s432,s763,s310,s386,s519,s597,s333,s324,s605,s312,s550,s677,s561,s246,s247,s249,s546,s547,s593,s853,s534,s476,s186,s389,s437,s848,s223,s520,s454,s871,s291,s743,s122,s872,s828,s78,s77]) ).

cnf(s879,plain,
    ( spl10_4
    | spl10_2
    | spl10_1 ),
    inference(rat,[],[s389,s848,s850,s518,s599,s878,s188,s743,s122,s855]) ).

cnf(s880,plain,
    ( ~ spl10_7
    | ~ spl10_16 ),
    inference(rat,[],[s122,s845,s743,s747,s848,s520,s454,s637,s189,s186,s78]) ).

cnf(s881,plain,
    ( spl10_2
    | spl10_1 ),
    inference(rat,[],[s221,s845,s634,s122,s848,s188,s266,s293,s850,s880,s186,s189,s269,s121,s879,s77]) ).

cnf(s882,plain,
    ( ~ spl10_21
    | ~ spl10_2 ),
    inference(rat,[],[s845,s349,s773,s848,s398,s743,s604,s518,s283,s119]) ).

cnf(s883,plain,
    ( spl10_152
    | ~ spl10_79
    | ~ spl10_99 ),
    inference(rat,[],[s60,s132,s208,s392,s428,s62,s862,s232,s605,s375,s435,s395]) ).

cnf(s884,plain,
    ~ spl10_140,
    inference(rat,[],[s145,s146]) ).

cnf(s885,plain,
    ( ~ spl10_152
    | ~ spl10_130
    | ~ spl10_2 ),
    inference(rat,[],[s427,s842,s93,s41,s128,s237,s496,s837,s579,s147,s866,s124,s149,s506,s509,s838,s665,s518,s144,s662,s119,s249,s797,s523,s589,s605,s519,s780,s597,s166,s386,s246,s781,s414,s771,s67,s561,s593,s882,s324,s546,s791,s795,s247,s884,s78,s832]) ).

cnf(s886,plain,
    ( ~ spl10_169
    | ~ spl10_29
    | ~ spl10_2 ),
    inference(rat,[],[s746,s845,s848,s739,s305,s493,s604,s518,s283,s119]) ).

cnf(s887,plain,
    ( spl10_18
    | ~ spl10_130
    | ~ spl10_2 ),
    inference(rat,[],[s508,s59,s61,s132,s318,s488,s396,s57,s58,s511,s673,s645,s16,s846,s189,s273,s845,s271,s747,s848,s604,s283,s593,s324,s823,s798,s790,s795,s366,s327,s245,s325,s246,s862,s131,s554,s85,s275,s285,s83,s141,s886,s847,s883,s885,s546,s281,s677,s223,s518,s312,s547,s289,s119,s77,s872]) ).

cnf(s888,plain,
    ( ~ spl10_130
    | ~ spl10_2 ),
    inference(rat,[],[s506,s124,s838,s41,s243,s496,s804,s839,s837,s60,s177,s129,s579,s132,s576,s480,s488,s542,s319,s396,s609,s57,s58,s511,s673,s645,s16,s846,s272,s845,s186,s349,s887,s285,s275,s85,s83,s141,s886,s847,s131,s883,s885,s414,s771,s166,s780,s790,s67,s823,s386,s597,s333,s324,s375,s312,s677,s561,s781,s791,s245,s246,s247,s249,s546,s547,s593,s795,s604,s281,s289,s283,s223,s518,s119,s882,s78,s831,s872,s832,s77]) ).

cnf(s889,plain,
    ( ~ spl10_99
    | spl10_91
    | spl10_76
    | spl10_81
    | ~ spl10_79 ),
    inference(rat,[],[s443,s58,s883,s324,s395]) ).

cnf(s890,plain,
    ( ~ spl10_124
    | ~ spl10_105
    | spl10_106
    | ~ spl10_103 ),
    inference(rat,[],[s68,s309,s295,s359,s312,s138,s415]) ).

cnf(s891,plain,
    ( ~ spl10_79
    | spl10_29
    | ~ spl10_2 ),
    inference(rat,[],[s843,s771,s542,s345,s579,s837,s130,s333,s656,s73,s890,s889,s846,s273,s271,s848,s437,s476,s287,s391,s276,s434,s79,s81,s41,s142,s124,s290,s310,s392,s396,s738,s328,s334,s424,s6,s849,s197,s198,s210,s255,s256,s299,s301,s302,s853,s229,s395,s604,s223,s518,s119,s888,s832,s78,s872,s828,s77]) ).

cnf(s892,plain,
    ( spl10_78
    | ~ spl10_127
    | spl10_29
    | ~ spl10_2 ),
    inference(rat,[],[s16,s272,s285,s276,s845,s79,s81,s678,s310,s849,s604,s289,s283,s223,s518,s119,s847,s891,s281,s142,s290,s6,s302,s301,s299,s872,s828,s77]) ).

cnf(s893,plain,
    ( spl10_25
    | ~ spl10_105
    | ~ spl10_104
    | ~ spl10_2 ),
    inference(rat,[],[s678,s296,s845,s604,s283,s119]) ).

cnf(s894,plain,
    ( ~ spl10_105
    | ~ spl10_104
    | ~ spl10_2 ),
    inference(rat,[],[s348,s350,s848,s397,s747,s893,s518,s119]) ).

cnf(s895,plain,
    ( ~ spl10_16
    | ~ spl10_2 ),
    inference(rat,[],[s746,s848,s845,s186,s189,s604,s518,s283,s119]) ).

cnf(s896,plain,
    ( spl10_29
    | ~ spl10_2 ),
    inference(rat,[],[s572,s846,s892,s894,s847,s891,s604,s281,s301,s853,s534,s895,s888]) ).

cnf(s897,plain,
    ~ spl10_2,
    inference(rat,[],[s304,s896,s853,s534,s895,s888]) ).

cnf(s898,plain,
    spl10_1,
    inference(rat,[],[s881,s897]) ).

cnf(s899,plain,
    ~ spl10_5,
    inference(rat,[],[s557,s898]) ).

cnf(s900,plain,
    ( ~ spl10_8
    | ~ spl10_79 ),
    inference(rat,[],[s865,s427,s842,s93,s128,s237,s496,s837,s579,s147,s143,s866,s783,s149,s499,s506,s509,s838,s414,s771,s67,s398,s773,s845,s166,s780,s739,s665,s386,s519,s597,s850,s883,s324,s605,s523,s561,s797,s781,s791,s246,s247,s252,s546,s589,s593,s795,s853,s454,s221,s211,s520,s634,s395,s229,s884,s78,s832,s899,s897,s77]) ).

cnf(s901,plain,
    ( spl10_18
    | spl10_118
    | spl10_75
    | spl10_115
    | spl10_90
    | spl10_112
    | ~ spl10_153
    | ~ spl10_152
    | spl10_96
    | spl10_46
    | spl10_48
    | spl10_121
    | ~ spl10_73
    | spl10_8 ),
    inference(rat,[],[s241,s133,s804,s61,s842,s544,s128,s839,s237,s496,s177,s129,s837,s480,s502,s579,s822,s147,s866,s149,s506,s509,s838,s414,s771,s67,s743,s848,s333,s831,s78,s832]) ).

cnf(s902,plain,
    ( ~ spl10_130
    | ~ spl10_79 ),
    inference(rat,[],[s769,s838,s484,s509,s713,s149,s873,s866,s476,s148,s437,s901,s366,s166,s780,s665,s327,s325,s386,s519,s597,s883,s324,s605,s312,s561,s797,s781,s791,s245,s246,s247,s546,s547,s593,s795,s223,s900,s832,s78,s77]) ).

cnf(s903,plain,
    ( ~ spl10_19
    | ~ spl10_79 ),
    inference(rat,[],[s265,s848,s850,s437,s472,s476,s900,s203,s853,s902,s229,s897,s78]) ).

cnf(s904,plain,
    ~ spl10_79,
    inference(rat,[],[s141,s79,s292,s287,s6,s304,s903,s310,s849,s299,s301,s302,s853,s902,s223,s900,s229,s395,s872,s897,s828,s77]) ).

cnf(s905,plain,
    ~ spl10_91,
    inference(rat,[],[s131,s904]) ).

cnf(s906,plain,
    ( ~ spl10_90
    | spl10_76
    | spl10_78
    | spl10_96
    | spl10_98 ),
    inference(rat,[],[s319,s62,s58,s862,s232,s657,s665,s905]) ).

cnf(s907,plain,
    ( ~ spl10_130
    | ~ spl10_8 ),
    inference(rat,[],[s307,s42,s38,s124,s494,s499,s506,s838,s906,s276,s330,s572,s414,s846,s123,s771,s777,s292,s297,s303,s67,s554,s398,s847,s773,s121,s845,s780,s269,s739,s790,s597,s850,s324,s605,s312,s677,s561,s797,s791,s246,s247,s252,s546,s547,s593,s795,s221,s634,s454,s520,s899,s832,s897,s78,s904,s77]) ).

cnf(s908,plain,
    ~ spl10_8,
    inference(rat,[],[s293,s845,s850,s189,s269,s534,s853,s907,s454,s221,s211,s520,s634,s899,s897,s77,s78]) ).

cnf(s909,plain,
    ~ spl10_133,
    inference(rat,[],[s223,s77,s908]) ).

cnf(s910,plain,
    ( ~ spl10_16
    | spl10_22 ),
    inference(rat,[],[s850,s880,s269,s897]) ).

cnf(s911,plain,
    ( ~ spl10_137
    | ~ spl10_130
    | ~ spl10_99 ),
    inference(rat,[],[s777,s141,s846,s81,s330,s252,s311,s790,s312,s547,s795,s899,s909,s872]) ).

cnf(s912,plain,
    ( spl10_18
    | ~ spl10_130
    | ~ spl10_99
    | spl10_78 ),
    inference(rat,[],[s381,s839,s837,s462,s496,s128,s515,s842,s428,s62,s506,s862,s232,s838,s901,s414,s771,s67,s743,s848,s791,s797,s561,s593,s333,s519,s780,s597,s166,s386,s247,s781,s795,s366,s327,s245,s325,s246,s906,s276,s911,s324,s605,s908,s832]) ).

cnf(s913,plain,
    ( ~ spl10_130
    | ~ spl10_99
    | spl10_78 ),
    inference(rat,[],[s128,s842,s487,s434,s779,s38,s37,s58,s511,s286,s639,s645,s16,s846,s272,s845,s123,s79,s599,s637,s516,s141,s850,s305,s349,s389,s912,s276,s911,s847,s121,s910,s790,s519,s311,s312,s677,s575,s561,s246,s252,s547,s589,s593,s795,s324,s905,s904,s899,s909,s872,s897]) ).

cnf(s914,plain,
    ( ~ spl10_99
    | spl10_78 ),
    inference(rat,[],[s62,s674,s573,s60,s58,s285,s276,s79,s81,s141,s865,s310,s292,s213,s392,s396,s289,s849,s6,s197,s291,s299,s301,s302,s304,s853,s913,s532,s253,s324,s375,s605,s905,s909,s872,s828,s897]) ).

cnf(s915,plain,
    ( ~ spl10_23
    | spl10_130 ),
    inference(rat,[],[s739,s845,s850,s283,s203,s291,s853,s534,s910,s266,s747,s899,s897]) ).

cnf(s916,plain,
    spl10_130,
    inference(rat,[],[s293,s845,s850,s283,s203,s291,s853,s534,s186,s349,s389,s848,s915,s899,s897,s908]) ).

cnf(s917,plain,
    spl10_125,
    inference(rat,[],[s795,s916]) ).

cnf(s918,plain,
    spl10_47,
    inference(rat,[],[s593,s916]) ).

cnf(s920,plain,
    spl10_101,
    inference(rat,[],[s547,s916]) ).

cnf(s921,plain,
    spl10_99,
    inference(rat,[],[s546,s916]) ).

cnf(s922,plain,
    ~ spl10_22,
    inference(rat,[],[s252,s916]) ).

cnf(s925,plain,
    ~ spl10_108,
    inference(rat,[],[s249,s916]) ).

cnf(s927,plain,
    spl10_73,
    inference(rat,[],[s247,s916]) ).

cnf(s929,plain,
    spl10_119,
    inference(rat,[],[s245,s916]) ).

cnf(s930,plain,
    ~ spl10_137,
    inference(rat,[],[s911,s921,s916]) ).

cnf(s936,plain,
    ~ spl10_46,
    inference(rat,[],[s561,s918]) ).

cnf(s941,plain,
    ~ spl10_104,
    inference(rat,[],[s677,s920]) ).

cnf(s942,plain,
    spl10_138,
    inference(rat,[],[s312,s920]) ).

cnf(s946,plain,
    ~ spl10_96,
    inference(rat,[],[s324,s921]) ).

cnf(s947,plain,
    spl10_78,
    inference(rat,[],[s914,s921]) ).

cnf(s948,plain,
    ~ spl10_16,
    inference(rat,[],[s910,s922]) ).

cnf(s951,plain,
    ~ spl10_74,
    inference(rat,[],[s333,s927]) ).

cnf(s956,plain,
    ~ spl10_116,
    inference(rat,[],[s823,s929]) ).

cnf(s960,plain,
    ~ spl10_76,
    inference(rat,[],[s276,s930]) ).

cnf(s961,plain,
    ~ spl10_86,
    inference(rat,[],[s673,s947,s930]) ).

cnf(s963,plain,
    ~ spl10_105,
    inference(rat,[],[s790,s917,s942]) ).

cnf(s964,plain,
    ~ spl10_80,
    inference(rat,[],[s572,s947]) ).

cnf(s965,plain,
    ~ spl10_4,
    inference(rat,[],[s121,s948]) ).

cnf(s969,plain,
    spl10_81,
    inference(rat,[],[s58,s960,s946,s905,s961]) ).

cnf(s970,plain,
    spl10_30,
    inference(rat,[],[s846,s963,s899,s964]) ).

cnf(s971,plain,
    spl10_29,
    inference(rat,[],[s847,s904,s941,s965]) ).

cnf(s974,plain,
    ~ spl10_83,
    inference(rat,[],[s319,s969]) ).

cnf(s977,plain,
    ~ spl10_169,
    inference(rat,[],[s777,s922,s970]) ).

cnf(s978,plain,
    ~ spl10_170,
    inference(rat,[],[s645,s918,s970]) ).

cnf(s979,plain,
    ~ spl10_26,
    inference(rat,[],[s639,s970]) ).

cnf(s984,plain,
    ~ spl10_17,
    inference(rat,[],[s554,s971,s977]) ).

cnf(s985,plain,
    ~ spl10_41,
    inference(rat,[],[s511,s971,s978]) ).

cnf(s988,plain,
    spl10_7,
    inference(rat,[],[s850,s922,s897,s984]) ).

cnf(s989,plain,
    spl10_66,
    inference(rat,[],[s57,s948,s905,s956,s985]) ).

cnf(s994,plain,
    ~ spl10_27,
    inference(rat,[],[s516,s977,s988]) ).

cnf(s996,plain,
    ~ spl10_68,
    inference(rat,[],[s488,s989]) ).

cnf(s997,plain,
    ~ spl10_159,
    inference(rat,[],[s480,s831,s989]) ).

cnf(s1003,plain,
    ~ spl10_31,
    inference(rat,[],[s123,s994]) ).

cnf(s1005,plain,
    ~ spl10_64,
    inference(rat,[],[s129,s996]) ).

cnf(s1006,plain,
    ~ spl10_69,
    inference(rat,[],[s177,s997]) ).

cnf(s1009,plain,
    spl10_36,
    inference(rat,[],[s38,s936,s985,s979,s1003]) ).

cnf(s1010,plain,
    spl10_59,
    inference(rat,[],[s839,s951,s1005,s1006]) ).

cnf(s1018,plain,
    ~ spl10_37,
    inference(rat,[],[s487,s1009]) ).

cnf(s1022,plain,
    ~ spl10_58,
    inference(rat,[],[s462,s1010]) ).

cnf(s1028,plain,
    ~ spl10_33,
    inference(rat,[],[s124,s1018]) ).

cnf(s1032,plain,
    $false,
    inference(rat,[],[s41,s925,s974,s908,s1028,s1022]) ).

fof(f4924,plain,
    $false,
    inference(avatar_sat_refutation,[],[s1032]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ALG065+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 : n009.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 19:24:30 UTC 2026
% 0.08/0.20  % CPUTime  : 
% 0.08/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.24  Running first-order theorem proving
% 0.08/0.24  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
% 4.59/1.35  % (3369010)Detected formulas, will run a generic FOF schedule.
% 4.59/1.35  % (3369021)dis-21_1_sil=8000:lcm=predicate:random_seed=3568355241: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)
% 4.59/1.35  % (3369021)Refutation not found, incomplete strategy
% 4.59/1.35  % (3369021)------------------------------
% 4.59/1.35  % (3369021)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.59/1.35  % (3369021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.59/1.35  % (3369021)CaDiCaL version: 2.1.3
% 4.59/1.35  % (3369021)Termination reason: Refutation not found, incomplete strategy
% 4.59/1.35  % (3369021)Time elapsed: 0.007 s
% 4.59/1.35  % (3369021)Peak memory usage: 89 MB
% 4.59/1.35  % (3369021)Instructions burned: 23 (million)
% 4.59/1.35  % (3369017)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=1672629029:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.59/1.35  % (3369019)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1448721339:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.59/1.35  % (3369015)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=1811404009:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.59/1.35  % (3369018)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1250709649:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.59/1.35  % (3369016)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=3652197910:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.59/1.35  % (3369020)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3133584320:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.59/1.35  % (3369018)Instruction limit reached! 
% 4.59/1.35  % (3369018)------------------------------
% 4.59/1.35  % (3369018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.59/1.35  % (3369018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.59/1.35  % (3369018)CaDiCaL version: 2.1.3
% 4.59/1.35  % (3369018)Termination reason: Instruction limit
% 4.59/1.35  % (3369018)Termination phase: Saturation
% 4.59/1.35  % (3369018)Time elapsed: 0.053 s
% 4.59/1.35  % (3369018)Peak memory usage: 89 MB
% 4.59/1.35  % (3369018)Instructions burned: 111 (million)
% 4.59/1.35  % (3369019)Instruction limit reached! 
% 4.59/1.35  % (3369019)------------------------------
% 4.59/1.35  % (3369019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.59/1.35  % (3369019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.59/1.35  % (3369019)CaDiCaL version: 2.1.3
% 4.59/1.35  % (3369019)Termination reason: Instruction limit
% 4.59/1.35  % (3369019)Termination phase: Saturation
% 4.59/1.35  % (3369019)Time elapsed: 0.055 s
% 4.59/1.35  % (3369019)Peak memory usage: 87 MB
% 4.59/1.35  % (3369019)Instructions burned: 120 (million)
% 4.59/1.35  % (3369020)Instruction limit reached! 
% 4.59/1.35  % (3369020)------------------------------
% 4.59/1.35  % (3369020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.59/1.35  % (3369020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.59/1.35  % (3369020)CaDiCaL version: 2.1.3
% 4.59/1.35  % (3369020)Termination reason: Instruction limit
% 4.59/1.35  % (3369020)Termination phase: Saturation
% 4.59/1.35  % (3369020)Time elapsed: 0.078 s
% 4.59/1.35  % (3369020)Peak memory usage: 90 MB
% 4.59/1.35  % (3369020)Instructions burned: 140 (million)
% 4.59/1.35  % (3369021)------------------------------
% 4.59/1.35  % (3369021)------------------------------
% 4.59/1.35  % (3369030)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2063871177:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.59/1.35  % (3369029)lrs+10_1_sil=8000:sp=occurrence:random_seed=3169682736:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.59/1.35  % (3369032)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=758258432:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.59/1.35  % (3369031)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3449514868:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.59/1.35  % (3369029)First to succeed.
% 4.59/1.35  % (3369032)Also succeeded, but the first one will report.
% 4.59/1.35  % (3369030)Instruction limit reached! 
% 4.59/1.35  % (3369030)------------------------------
% 4.59/1.35  % (3369030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.59/1.35  % (3369030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.59/1.35  % (3369030)CaDiCaL version: 2.1.3
% 4.59/1.35  % (3369030)Termination reason: Instruction limit
% 4.59/1.35  % (3369030)Termination phase: Saturation
% 4.59/1.35  % (3369030)Time elapsed: 0.085 s
% 4.59/1.35  % (3369030)Peak memory usage: 90 MB
% 4.59/1.35  % (3369030)Instructions burned: 157 (million)
% 4.59/1.35  % (3369029)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3369010"
% 4.59/1.35  % (3369031)Also succeeded, but the first one will report.
% 4.59/1.35  [W928 19:24:31.579820581 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.
% 4.59/1.35  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.59/1.35  [W928 19:24:31.579870418 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.
% 4.59/1.35  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.59/1.35  [W928 19:24:31.579908522 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.
% 4.59/1.35  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.59/1.35  [W928 19:24:31.579922115 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.
% 4.59/1.35  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.59/1.35  [W928 19:24:31.579948079 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.
% 4.59/1.35  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.59/1.35  [W928 19:24:31.579960312 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.
% 4.59/1.35  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.59/1.35  [W928 19:24:31.580310902 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.
% 4.59/1.35  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.59/1.35  [W928 19:24:31.580350952 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.
% 4.59/1.35  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.59/1.35  [W928 19:24:31.580386389 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.
% 4.59/1.35  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.59/1.35  [W928 19:24:31.580397812 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.
% 4.59/1.35  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.59/1.35  [W928 19:24:31.580422279 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.
% 4.59/1.35  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.59/1.35  [W928 19:24:31.580434929 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.
% 4.59/1.35  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.59/1.35  [W928 19:24:31.580662971 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.
% 4.59/1.35  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.59/1.35  [W928 19:24:31.580690151 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.
% 4.59/1.35  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.59/1.35  [W928 19:24:31.580728921 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.
% 4.59/1.35  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.59/1.35  [W928 19:24:31.580742082 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.
% 4.59/1.35  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.59/1.35  [W928 19:24:31.580768978 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.
% 4.59/1.35  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.59/1.35  [W928 19:24:31.580781215 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.
% 4.59/1.36  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.59/1.36  % (3369037)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4023965900:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.59/1.36  % (3369039)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=631674414:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 4.59/1.36  % (3369029)Refutation found. Thanks to Tanya!
% 4.59/1.36  % SZS status Theorem for theBenchmark
% 4.59/1.36  % SZS output start Proof for theBenchmark
% See solution above
% 5.42/1.55  % (3369029)------------------------------
% 5.42/1.55  % (3369029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.42/1.55  % (3369029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.42/1.55  % (3369029)CaDiCaL version: 2.1.3
% 5.42/1.55  % (3369029)Termination reason: Refutation
% 5.42/1.55  % (3369029)Time elapsed: 0.088 s
% 5.42/1.55  % (3369029)Peak memory usage: 90 MB
% 5.42/1.55  % (3369029)Instructions burned: 162 (million)
% 5.42/1.55  % (3369029)------------------------------
% 5.42/1.55  % (3369029)------------------------------
% 5.42/1.55  % (3369010)Success in time 0.684 s
% 5.42/1.55  % Vampire exiting
%------------------------------------------------------------------------------