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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : ALG118+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n007.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 09:22:48 AM UTC 2026

% Result   : Theorem 0.80s 0.45s
% Output   : Refutation 0.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   54
%            Number of leaves      :  247
% Syntax   : Number of formulae    : 2060 ( 207 unt; 231 def)
%            Number of atoms       : 7211 (2544 equ)
%            Maximal formula atoms :  288 (   3 avg)
%            Number of connectives : 8144 (2993   ~;4090   |; 830   &)
%                                         ( 231 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   68 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :  301 ( 299 usr; 300 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   8 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ( ( op1(e10,e10) = e10
      | op1(e10,e10) = e11
      | op1(e10,e10) = e12
      | op1(e10,e10) = e13 )
    & ( op1(e10,e11) = e10
      | op1(e10,e11) = e11
      | op1(e10,e11) = e12
      | op1(e10,e11) = e13 )
    & ( op1(e10,e12) = e10
      | op1(e10,e12) = e11
      | op1(e10,e12) = e12
      | op1(e10,e12) = e13 )
    & ( op1(e10,e13) = e10
      | op1(e10,e13) = e11
      | op1(e10,e13) = e12
      | op1(e10,e13) = e13 )
    & ( op1(e11,e10) = e10
      | op1(e11,e10) = e11
      | op1(e11,e10) = e12
      | op1(e11,e10) = e13 )
    & ( op1(e11,e11) = e10
      | op1(e11,e11) = e11
      | op1(e11,e11) = e12
      | op1(e11,e11) = e13 )
    & ( op1(e11,e12) = e10
      | op1(e11,e12) = e11
      | op1(e11,e12) = e12
      | op1(e11,e12) = e13 )
    & ( op1(e11,e13) = e10
      | op1(e11,e13) = e11
      | op1(e11,e13) = e12
      | op1(e11,e13) = e13 )
    & ( op1(e12,e10) = e10
      | op1(e12,e10) = e11
      | op1(e12,e10) = e12
      | op1(e12,e10) = e13 )
    & ( op1(e12,e11) = e10
      | op1(e12,e11) = e11
      | op1(e12,e11) = e12
      | op1(e12,e11) = e13 )
    & ( op1(e12,e12) = e10
      | op1(e12,e12) = e11
      | op1(e12,e12) = e12
      | op1(e12,e12) = e13 )
    & ( op1(e12,e13) = e10
      | op1(e12,e13) = e11
      | op1(e12,e13) = e12
      | op1(e12,e13) = e13 )
    & ( op1(e13,e10) = e10
      | op1(e13,e10) = e11
      | op1(e13,e10) = e12
      | op1(e13,e10) = e13 )
    & ( op1(e13,e11) = e10
      | op1(e13,e11) = e11
      | op1(e13,e11) = e12
      | op1(e13,e11) = e13 )
    & ( op1(e13,e12) = e10
      | op1(e13,e12) = e11
      | op1(e13,e12) = e12
      | op1(e13,e12) = e13 )
    & ( op1(e13,e13) = e10
      | op1(e13,e13) = e11
      | op1(e13,e13) = e12
      | op1(e13,e13) = e13 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).

fof(f2,axiom,
    ( ( op1(e10,e10) = e10
      | op1(e10,e11) = e10
      | op1(e10,e12) = e10
      | op1(e10,e13) = e10 )
    & ( op1(e10,e10) = e10
      | op1(e11,e10) = e10
      | op1(e12,e10) = e10
      | op1(e13,e10) = e10 )
    & ( op1(e10,e10) = e11
      | op1(e10,e11) = e11
      | op1(e10,e12) = e11
      | op1(e10,e13) = e11 )
    & ( op1(e10,e10) = e11
      | op1(e11,e10) = e11
      | op1(e12,e10) = e11
      | op1(e13,e10) = e11 )
    & ( op1(e10,e10) = e12
      | op1(e10,e11) = e12
      | op1(e10,e12) = e12
      | op1(e10,e13) = e12 )
    & ( op1(e10,e10) = e12
      | op1(e11,e10) = e12
      | op1(e12,e10) = e12
      | op1(e13,e10) = e12 )
    & ( op1(e10,e10) = e13
      | op1(e10,e11) = e13
      | op1(e10,e12) = e13
      | op1(e10,e13) = e13 )
    & ( op1(e10,e10) = e13
      | op1(e11,e10) = e13
      | op1(e12,e10) = e13
      | op1(e13,e10) = e13 )
    & ( op1(e11,e10) = e10
      | op1(e11,e11) = e10
      | op1(e11,e12) = e10
      | op1(e11,e13) = e10 )
    & ( op1(e10,e11) = e10
      | op1(e11,e11) = e10
      | op1(e12,e11) = e10
      | op1(e13,e11) = e10 )
    & ( op1(e11,e10) = e11
      | op1(e11,e11) = e11
      | op1(e11,e12) = e11
      | op1(e11,e13) = e11 )
    & ( op1(e10,e11) = e11
      | op1(e11,e11) = e11
      | op1(e12,e11) = e11
      | op1(e13,e11) = e11 )
    & ( op1(e11,e10) = e12
      | op1(e11,e11) = e12
      | op1(e11,e12) = e12
      | op1(e11,e13) = e12 )
    & ( op1(e10,e11) = e12
      | op1(e11,e11) = e12
      | op1(e12,e11) = e12
      | op1(e13,e11) = e12 )
    & ( op1(e11,e10) = e13
      | op1(e11,e11) = e13
      | op1(e11,e12) = e13
      | op1(e11,e13) = e13 )
    & ( op1(e10,e11) = e13
      | op1(e11,e11) = e13
      | op1(e12,e11) = e13
      | op1(e13,e11) = e13 )
    & ( op1(e12,e10) = e10
      | op1(e12,e11) = e10
      | op1(e12,e12) = e10
      | op1(e12,e13) = e10 )
    & ( op1(e10,e12) = e10
      | op1(e11,e12) = e10
      | op1(e12,e12) = e10
      | op1(e13,e12) = e10 )
    & ( op1(e12,e10) = e11
      | op1(e12,e11) = e11
      | op1(e12,e12) = e11
      | op1(e12,e13) = e11 )
    & ( op1(e10,e12) = e11
      | op1(e11,e12) = e11
      | op1(e12,e12) = e11
      | op1(e13,e12) = e11 )
    & ( op1(e12,e10) = e12
      | op1(e12,e11) = e12
      | op1(e12,e12) = e12
      | op1(e12,e13) = e12 )
    & ( op1(e10,e12) = e12
      | op1(e11,e12) = e12
      | op1(e12,e12) = e12
      | op1(e13,e12) = e12 )
    & ( op1(e12,e10) = e13
      | op1(e12,e11) = e13
      | op1(e12,e12) = e13
      | op1(e12,e13) = e13 )
    & ( op1(e10,e12) = e13
      | op1(e11,e12) = e13
      | op1(e12,e12) = e13
      | op1(e13,e12) = e13 )
    & ( op1(e13,e10) = e10
      | op1(e13,e11) = e10
      | op1(e13,e12) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e10,e13) = e10
      | op1(e11,e13) = e10
      | op1(e12,e13) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e13,e10) = e11
      | op1(e13,e11) = e11
      | op1(e13,e12) = e11
      | op1(e13,e13) = e11 )
    & ( op1(e10,e13) = e11
      | op1(e11,e13) = e11
      | op1(e12,e13) = e11
      | op1(e13,e13) = e11 )
    & ( op1(e13,e10) = e12
      | op1(e13,e11) = e12
      | op1(e13,e12) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e10,e13) = e12
      | op1(e11,e13) = e12
      | op1(e12,e13) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e13,e10) = e13
      | op1(e13,e11) = e13
      | op1(e13,e12) = e13
      | op1(e13,e13) = e13 )
    & ( op1(e10,e13) = e13
      | op1(e11,e13) = e13
      | op1(e12,e13) = e13
      | op1(e13,e13) = e13 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).

fof(f3,axiom,
    ( ( op2(e20,e20) = e20
      | op2(e20,e20) = e21
      | op2(e20,e20) = e22
      | op2(e20,e20) = e23 )
    & ( op2(e20,e21) = e20
      | op2(e20,e21) = e21
      | op2(e20,e21) = e22
      | op2(e20,e21) = e23 )
    & ( op2(e20,e22) = e20
      | op2(e20,e22) = e21
      | op2(e20,e22) = e22
      | op2(e20,e22) = e23 )
    & ( op2(e20,e23) = e20
      | op2(e20,e23) = e21
      | op2(e20,e23) = e22
      | op2(e20,e23) = e23 )
    & ( op2(e21,e20) = e20
      | op2(e21,e20) = e21
      | op2(e21,e20) = e22
      | op2(e21,e20) = e23 )
    & ( op2(e21,e21) = e20
      | op2(e21,e21) = e21
      | op2(e21,e21) = e22
      | op2(e21,e21) = e23 )
    & ( op2(e21,e22) = e20
      | op2(e21,e22) = e21
      | op2(e21,e22) = e22
      | op2(e21,e22) = e23 )
    & ( op2(e21,e23) = e20
      | op2(e21,e23) = e21
      | op2(e21,e23) = e22
      | op2(e21,e23) = e23 )
    & ( op2(e22,e20) = e20
      | op2(e22,e20) = e21
      | op2(e22,e20) = e22
      | op2(e22,e20) = e23 )
    & ( op2(e22,e21) = e20
      | op2(e22,e21) = e21
      | op2(e22,e21) = e22
      | op2(e22,e21) = e23 )
    & ( op2(e22,e22) = e20
      | op2(e22,e22) = e21
      | op2(e22,e22) = e22
      | op2(e22,e22) = e23 )
    & ( op2(e22,e23) = e20
      | op2(e22,e23) = e21
      | op2(e22,e23) = e22
      | op2(e22,e23) = e23 )
    & ( op2(e23,e20) = e20
      | op2(e23,e20) = e21
      | op2(e23,e20) = e22
      | op2(e23,e20) = e23 )
    & ( op2(e23,e21) = e20
      | op2(e23,e21) = e21
      | op2(e23,e21) = e22
      | op2(e23,e21) = e23 )
    & ( op2(e23,e22) = e20
      | op2(e23,e22) = e21
      | op2(e23,e22) = e22
      | op2(e23,e22) = e23 )
    & ( op2(e23,e23) = e20
      | op2(e23,e23) = e21
      | op2(e23,e23) = e22
      | op2(e23,e23) = e23 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).

fof(f4,axiom,
    ( ( op2(e20,e20) = e20
      | op2(e20,e21) = e20
      | op2(e20,e22) = e20
      | op2(e20,e23) = e20 )
    & ( op2(e20,e20) = e20
      | op2(e21,e20) = e20
      | op2(e22,e20) = e20
      | op2(e23,e20) = e20 )
    & ( op2(e20,e20) = e21
      | op2(e20,e21) = e21
      | op2(e20,e22) = e21
      | op2(e20,e23) = e21 )
    & ( op2(e20,e20) = e21
      | op2(e21,e20) = e21
      | op2(e22,e20) = e21
      | op2(e23,e20) = e21 )
    & ( op2(e20,e20) = e22
      | op2(e20,e21) = e22
      | op2(e20,e22) = e22
      | op2(e20,e23) = e22 )
    & ( op2(e20,e20) = e22
      | op2(e21,e20) = e22
      | op2(e22,e20) = e22
      | op2(e23,e20) = e22 )
    & ( op2(e20,e20) = e23
      | op2(e20,e21) = e23
      | op2(e20,e22) = e23
      | op2(e20,e23) = e23 )
    & ( op2(e20,e20) = e23
      | op2(e21,e20) = e23
      | op2(e22,e20) = e23
      | op2(e23,e20) = e23 )
    & ( op2(e21,e20) = e20
      | op2(e21,e21) = e20
      | op2(e21,e22) = e20
      | op2(e21,e23) = e20 )
    & ( op2(e20,e21) = e20
      | op2(e21,e21) = e20
      | op2(e22,e21) = e20
      | op2(e23,e21) = e20 )
    & ( op2(e21,e20) = e21
      | op2(e21,e21) = e21
      | op2(e21,e22) = e21
      | op2(e21,e23) = e21 )
    & ( op2(e20,e21) = e21
      | op2(e21,e21) = e21
      | op2(e22,e21) = e21
      | op2(e23,e21) = e21 )
    & ( op2(e21,e20) = e22
      | op2(e21,e21) = e22
      | op2(e21,e22) = e22
      | op2(e21,e23) = e22 )
    & ( op2(e20,e21) = e22
      | op2(e21,e21) = e22
      | op2(e22,e21) = e22
      | op2(e23,e21) = e22 )
    & ( op2(e21,e20) = e23
      | op2(e21,e21) = e23
      | op2(e21,e22) = e23
      | op2(e21,e23) = e23 )
    & ( op2(e20,e21) = e23
      | op2(e21,e21) = e23
      | op2(e22,e21) = e23
      | op2(e23,e21) = e23 )
    & ( op2(e22,e20) = e20
      | op2(e22,e21) = e20
      | op2(e22,e22) = e20
      | op2(e22,e23) = e20 )
    & ( op2(e20,e22) = e20
      | op2(e21,e22) = e20
      | op2(e22,e22) = e20
      | op2(e23,e22) = e20 )
    & ( op2(e22,e20) = e21
      | op2(e22,e21) = e21
      | op2(e22,e22) = e21
      | op2(e22,e23) = e21 )
    & ( op2(e20,e22) = e21
      | op2(e21,e22) = e21
      | op2(e22,e22) = e21
      | op2(e23,e22) = e21 )
    & ( op2(e22,e20) = e22
      | op2(e22,e21) = e22
      | op2(e22,e22) = e22
      | op2(e22,e23) = e22 )
    & ( op2(e20,e22) = e22
      | op2(e21,e22) = e22
      | op2(e22,e22) = e22
      | op2(e23,e22) = e22 )
    & ( op2(e22,e20) = e23
      | op2(e22,e21) = e23
      | op2(e22,e22) = e23
      | op2(e22,e23) = e23 )
    & ( op2(e20,e22) = e23
      | op2(e21,e22) = e23
      | op2(e22,e22) = e23
      | op2(e23,e22) = e23 )
    & ( op2(e23,e20) = e20
      | op2(e23,e21) = e20
      | op2(e23,e22) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e20,e23) = e20
      | op2(e21,e23) = e20
      | op2(e22,e23) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e23,e20) = e21
      | op2(e23,e21) = e21
      | op2(e23,e22) = e21
      | op2(e23,e23) = e21 )
    & ( op2(e20,e23) = e21
      | op2(e21,e23) = e21
      | op2(e22,e23) = e21
      | op2(e23,e23) = e21 )
    & ( op2(e23,e20) = e22
      | op2(e23,e21) = e22
      | op2(e23,e22) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e20,e23) = e22
      | op2(e21,e23) = e22
      | op2(e22,e23) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e23,e20) = e23
      | op2(e23,e21) = e23
      | op2(e23,e22) = e23
      | op2(e23,e23) = e23 )
    & ( op2(e20,e23) = e23
      | op2(e21,e23) = e23
      | op2(e22,e23) = e23
      | op2(e23,e23) = e23 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).

fof(f5,axiom,
    ( op1(e10,e10) != op1(e11,e10)
    & op1(e10,e10) != op1(e12,e10)
    & op1(e10,e10) != op1(e13,e10)
    & op1(e11,e10) != op1(e12,e10)
    & op1(e11,e10) != op1(e13,e10)
    & op1(e12,e10) != op1(e13,e10)
    & op1(e10,e11) != op1(e11,e11)
    & op1(e10,e11) != op1(e12,e11)
    & op1(e10,e11) != op1(e13,e11)
    & op1(e11,e11) != op1(e12,e11)
    & op1(e11,e11) != op1(e13,e11)
    & op1(e12,e11) != op1(e13,e11)
    & op1(e10,e12) != op1(e11,e12)
    & op1(e10,e12) != op1(e12,e12)
    & op1(e10,e12) != op1(e13,e12)
    & op1(e11,e12) != op1(e12,e12)
    & op1(e11,e12) != op1(e13,e12)
    & op1(e12,e12) != op1(e13,e12)
    & op1(e10,e13) != op1(e11,e13)
    & op1(e10,e13) != op1(e12,e13)
    & op1(e10,e13) != op1(e13,e13)
    & op1(e11,e13) != op1(e12,e13)
    & op1(e11,e13) != op1(e13,e13)
    & op1(e12,e13) != op1(e13,e13)
    & op1(e10,e10) != op1(e10,e11)
    & op1(e10,e10) != op1(e10,e12)
    & op1(e10,e10) != op1(e10,e13)
    & op1(e10,e11) != op1(e10,e12)
    & op1(e10,e11) != op1(e10,e13)
    & op1(e10,e12) != op1(e10,e13)
    & op1(e11,e10) != op1(e11,e11)
    & op1(e11,e10) != op1(e11,e12)
    & op1(e11,e10) != op1(e11,e13)
    & op1(e11,e11) != op1(e11,e12)
    & op1(e11,e11) != op1(e11,e13)
    & op1(e11,e12) != op1(e11,e13)
    & op1(e12,e10) != op1(e12,e11)
    & op1(e12,e10) != op1(e12,e12)
    & op1(e12,e10) != op1(e12,e13)
    & op1(e12,e11) != op1(e12,e12)
    & op1(e12,e11) != op1(e12,e13)
    & op1(e12,e12) != op1(e12,e13)
    & op1(e13,e10) != op1(e13,e11)
    & op1(e13,e10) != op1(e13,e12)
    & op1(e13,e10) != op1(e13,e13)
    & op1(e13,e11) != op1(e13,e12)
    & op1(e13,e11) != op1(e13,e13)
    & op1(e13,e12) != op1(e13,e13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).

fof(f6,axiom,
    ( op2(e20,e20) != op2(e21,e20)
    & op2(e20,e20) != op2(e22,e20)
    & op2(e20,e20) != op2(e23,e20)
    & op2(e21,e20) != op2(e22,e20)
    & op2(e21,e20) != op2(e23,e20)
    & op2(e22,e20) != op2(e23,e20)
    & op2(e20,e21) != op2(e21,e21)
    & op2(e20,e21) != op2(e22,e21)
    & op2(e20,e21) != op2(e23,e21)
    & op2(e21,e21) != op2(e22,e21)
    & op2(e21,e21) != op2(e23,e21)
    & op2(e22,e21) != op2(e23,e21)
    & op2(e20,e22) != op2(e21,e22)
    & op2(e20,e22) != op2(e22,e22)
    & op2(e20,e22) != op2(e23,e22)
    & op2(e21,e22) != op2(e22,e22)
    & op2(e21,e22) != op2(e23,e22)
    & op2(e22,e22) != op2(e23,e22)
    & op2(e20,e23) != op2(e21,e23)
    & op2(e20,e23) != op2(e22,e23)
    & op2(e20,e23) != op2(e23,e23)
    & op2(e21,e23) != op2(e22,e23)
    & op2(e21,e23) != op2(e23,e23)
    & op2(e22,e23) != op2(e23,e23)
    & op2(e20,e20) != op2(e20,e21)
    & op2(e20,e20) != op2(e20,e22)
    & op2(e20,e20) != op2(e20,e23)
    & op2(e20,e21) != op2(e20,e22)
    & op2(e20,e21) != op2(e20,e23)
    & op2(e20,e22) != op2(e20,e23)
    & op2(e21,e20) != op2(e21,e21)
    & op2(e21,e20) != op2(e21,e22)
    & op2(e21,e20) != op2(e21,e23)
    & op2(e21,e21) != op2(e21,e22)
    & op2(e21,e21) != op2(e21,e23)
    & op2(e21,e22) != op2(e21,e23)
    & op2(e22,e20) != op2(e22,e21)
    & op2(e22,e20) != op2(e22,e22)
    & op2(e22,e20) != op2(e22,e23)
    & op2(e22,e21) != op2(e22,e22)
    & op2(e22,e21) != op2(e22,e23)
    & op2(e22,e22) != op2(e22,e23)
    & op2(e23,e20) != op2(e23,e21)
    & op2(e23,e20) != op2(e23,e22)
    & op2(e23,e20) != op2(e23,e23)
    & op2(e23,e21) != op2(e23,e22)
    & op2(e23,e21) != op2(e23,e23)
    & op2(e23,e22) != op2(e23,e23) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).

fof(f7,axiom,
    ( e10 != e11
    & e10 != e12
    & e10 != e13
    & e11 != e12
    & e11 != e13
    & e12 != e13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).

fof(f8,axiom,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e21 != e22
    & e21 != e23
    & e22 != e23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).

fof(f10,axiom,
    ( ( op1(e10,e10) = e10
      | op1(e11,e10) = e11
      | op1(e12,e10) = e12
      | op1(e13,e10) = e13 )
    & ( op1(e10,e11) = e10
      | op1(e11,e11) = e11
      | op1(e12,e11) = e12
      | op1(e13,e11) = e13 )
    & ( op1(e10,e12) = e10
      | op1(e11,e12) = e11
      | op1(e12,e12) = e12
      | op1(e13,e12) = e13 )
    & ( op1(e10,e13) = e10
      | op1(e11,e13) = e11
      | op1(e12,e13) = e12
      | op1(e13,e13) = e13 )
    & ( ( op1(e10,op1(e10,e10)) != e10
        & op1(e10,op1(e10,e11)) != e11
        & op1(e10,op1(e10,e12)) != e12
        & op1(e10,op1(e10,e13)) != e13 )
      | ( op1(e11,op1(e11,e10)) != e10
        & op1(e11,op1(e11,e11)) != e11
        & op1(e11,op1(e11,e12)) != e12
        & op1(e11,op1(e11,e13)) != e13 )
      | ( op1(e12,op1(e12,e10)) != e10
        & op1(e12,op1(e12,e11)) != e11
        & op1(e12,op1(e12,e12)) != e12
        & op1(e12,op1(e12,e13)) != e13 )
      | ( op1(e13,op1(e13,e10)) != e10
        & op1(e13,op1(e13,e11)) != e11
        & op1(e13,op1(e13,e12)) != e12
        & op1(e13,op1(e13,e13)) != e13 ) )
    & ( ( op1(e10,e10) = e10
        & op1(e10,e10) = e10
        & op1(e10,e10) = e10
        & op1(e10,e10) = e10 )
      | ( op1(e10,e10) = e10
        & op1(e10,e10) = e10
        & op1(e11,e10) = e10
        & op1(e10,e11) = e10 )
      | ( op1(e10,e10) = e10
        & op1(e10,e10) = e10
        & op1(e12,e10) = e10
        & op1(e10,e12) = e10 )
      | ( op1(e10,e10) = e10
        & op1(e10,e10) = e10
        & op1(e13,e10) = e10
        & op1(e10,e13) = e10 )
      | ( op1(e10,e11) = e10
        & op1(e11,e10) = e10
        & op1(e10,e11) = e11
        & op1(e11,e10) = e11 )
      | ( op1(e10,e11) = e10
        & op1(e11,e10) = e10
        & op1(e11,e11) = e11
        & op1(e11,e11) = e11 )
      | ( op1(e10,e11) = e10
        & op1(e11,e10) = e10
        & op1(e12,e11) = e11
        & op1(e11,e12) = e11 )
      | ( op1(e10,e11) = e10
        & op1(e11,e10) = e10
        & op1(e13,e11) = e11
        & op1(e11,e13) = e11 )
      | ( op1(e10,e12) = e10
        & op1(e12,e10) = e10
        & op1(e10,e12) = e12
        & op1(e12,e10) = e12 )
      | ( op1(e10,e12) = e10
        & op1(e12,e10) = e10
        & op1(e11,e12) = e12
        & op1(e12,e11) = e12 )
      | ( op1(e10,e12) = e10
        & op1(e12,e10) = e10
        & op1(e12,e12) = e12
        & op1(e12,e12) = e12 )
      | ( op1(e10,e12) = e10
        & op1(e12,e10) = e10
        & op1(e13,e12) = e12
        & op1(e12,e13) = e12 )
      | ( op1(e10,e13) = e10
        & op1(e13,e10) = e10
        & op1(e10,e13) = e13
        & op1(e13,e10) = e13 )
      | ( op1(e10,e13) = e10
        & op1(e13,e10) = e10
        & op1(e11,e13) = e13
        & op1(e13,e11) = e13 )
      | ( op1(e10,e13) = e10
        & op1(e13,e10) = e10
        & op1(e12,e13) = e13
        & op1(e13,e12) = e13 )
      | ( op1(e10,e13) = e10
        & op1(e13,e10) = e10
        & op1(e13,e13) = e13
        & op1(e13,e13) = e13 )
      | ( op1(e11,e10) = e11
        & op1(e10,e11) = e11
        & op1(e10,e10) = e10
        & op1(e10,e10) = e10 )
      | ( op1(e11,e10) = e11
        & op1(e10,e11) = e11
        & op1(e11,e10) = e10
        & op1(e10,e11) = e10 )
      | ( op1(e11,e10) = e11
        & op1(e10,e11) = e11
        & op1(e12,e10) = e10
        & op1(e10,e12) = e10 )
      | ( op1(e11,e10) = e11
        & op1(e10,e11) = e11
        & op1(e13,e10) = e10
        & op1(e10,e13) = e10 )
      | ( op1(e11,e11) = e11
        & op1(e11,e11) = e11
        & op1(e10,e11) = e11
        & op1(e11,e10) = e11 )
      | ( op1(e11,e11) = e11
        & op1(e11,e11) = e11
        & op1(e11,e11) = e11
        & op1(e11,e11) = e11 )
      | ( op1(e11,e11) = e11
        & op1(e11,e11) = e11
        & op1(e12,e11) = e11
        & op1(e11,e12) = e11 )
      | ( op1(e11,e11) = e11
        & op1(e11,e11) = e11
        & op1(e13,e11) = e11
        & op1(e11,e13) = e11 )
      | ( op1(e11,e12) = e11
        & op1(e12,e11) = e11
        & op1(e10,e12) = e12
        & op1(e12,e10) = e12 )
      | ( op1(e11,e12) = e11
        & op1(e12,e11) = e11
        & op1(e11,e12) = e12
        & op1(e12,e11) = e12 )
      | ( op1(e11,e12) = e11
        & op1(e12,e11) = e11
        & op1(e12,e12) = e12
        & op1(e12,e12) = e12 )
      | ( op1(e11,e12) = e11
        & op1(e12,e11) = e11
        & op1(e13,e12) = e12
        & op1(e12,e13) = e12 )
      | ( op1(e11,e13) = e11
        & op1(e13,e11) = e11
        & op1(e10,e13) = e13
        & op1(e13,e10) = e13 )
      | ( op1(e11,e13) = e11
        & op1(e13,e11) = e11
        & op1(e11,e13) = e13
        & op1(e13,e11) = e13 )
      | ( op1(e11,e13) = e11
        & op1(e13,e11) = e11
        & op1(e12,e13) = e13
        & op1(e13,e12) = e13 )
      | ( op1(e11,e13) = e11
        & op1(e13,e11) = e11
        & op1(e13,e13) = e13
        & op1(e13,e13) = e13 )
      | ( op1(e12,e10) = e12
        & op1(e10,e12) = e12
        & op1(e10,e10) = e10
        & op1(e10,e10) = e10 )
      | ( op1(e12,e10) = e12
        & op1(e10,e12) = e12
        & op1(e11,e10) = e10
        & op1(e10,e11) = e10 )
      | ( op1(e12,e10) = e12
        & op1(e10,e12) = e12
        & op1(e12,e10) = e10
        & op1(e10,e12) = e10 )
      | ( op1(e12,e10) = e12
        & op1(e10,e12) = e12
        & op1(e13,e10) = e10
        & op1(e10,e13) = e10 )
      | ( op1(e12,e11) = e12
        & op1(e11,e12) = e12
        & op1(e10,e11) = e11
        & op1(e11,e10) = e11 )
      | ( op1(e12,e11) = e12
        & op1(e11,e12) = e12
        & op1(e11,e11) = e11
        & op1(e11,e11) = e11 )
      | ( op1(e12,e11) = e12
        & op1(e11,e12) = e12
        & op1(e12,e11) = e11
        & op1(e11,e12) = e11 )
      | ( op1(e12,e11) = e12
        & op1(e11,e12) = e12
        & op1(e13,e11) = e11
        & op1(e11,e13) = e11 )
      | ( op1(e12,e12) = e12
        & op1(e12,e12) = e12
        & op1(e10,e12) = e12
        & op1(e12,e10) = e12 )
      | ( op1(e12,e12) = e12
        & op1(e12,e12) = e12
        & op1(e11,e12) = e12
        & op1(e12,e11) = e12 )
      | ( op1(e12,e12) = e12
        & op1(e12,e12) = e12
        & op1(e12,e12) = e12
        & op1(e12,e12) = e12 )
      | ( op1(e12,e12) = e12
        & op1(e12,e12) = e12
        & op1(e13,e12) = e12
        & op1(e12,e13) = e12 )
      | ( op1(e12,e13) = e12
        & op1(e13,e12) = e12
        & op1(e10,e13) = e13
        & op1(e13,e10) = e13 )
      | ( op1(e12,e13) = e12
        & op1(e13,e12) = e12
        & op1(e11,e13) = e13
        & op1(e13,e11) = e13 )
      | ( op1(e12,e13) = e12
        & op1(e13,e12) = e12
        & op1(e12,e13) = e13
        & op1(e13,e12) = e13 )
      | ( op1(e12,e13) = e12
        & op1(e13,e12) = e12
        & op1(e13,e13) = e13
        & op1(e13,e13) = e13 )
      | ( op1(e13,e10) = e13
        & op1(e10,e13) = e13
        & op1(e10,e10) = e10
        & op1(e10,e10) = e10 )
      | ( op1(e13,e10) = e13
        & op1(e10,e13) = e13
        & op1(e11,e10) = e10
        & op1(e10,e11) = e10 )
      | ( op1(e13,e10) = e13
        & op1(e10,e13) = e13
        & op1(e12,e10) = e10
        & op1(e10,e12) = e10 )
      | ( op1(e13,e10) = e13
        & op1(e10,e13) = e13
        & op1(e13,e10) = e10
        & op1(e10,e13) = e10 )
      | ( op1(e13,e11) = e13
        & op1(e11,e13) = e13
        & op1(e10,e11) = e11
        & op1(e11,e10) = e11 )
      | ( op1(e13,e11) = e13
        & op1(e11,e13) = e13
        & op1(e11,e11) = e11
        & op1(e11,e11) = e11 )
      | ( op1(e13,e11) = e13
        & op1(e11,e13) = e13
        & op1(e12,e11) = e11
        & op1(e11,e12) = e11 )
      | ( op1(e13,e11) = e13
        & op1(e11,e13) = e13
        & op1(e13,e11) = e11
        & op1(e11,e13) = e11 )
      | ( op1(e13,e12) = e13
        & op1(e12,e13) = e13
        & op1(e10,e12) = e12
        & op1(e12,e10) = e12 )
      | ( op1(e13,e12) = e13
        & op1(e12,e13) = e13
        & op1(e11,e12) = e12
        & op1(e12,e11) = e12 )
      | ( op1(e13,e12) = e13
        & op1(e12,e13) = e13
        & op1(e12,e12) = e12
        & op1(e12,e12) = e12 )
      | ( op1(e13,e12) = e13
        & op1(e12,e13) = e13
        & op1(e13,e12) = e12
        & op1(e12,e13) = e12 )
      | ( op1(e13,e13) = e13
        & op1(e13,e13) = e13
        & op1(e10,e13) = e13
        & op1(e13,e10) = e13 )
      | ( op1(e13,e13) = e13
        & op1(e13,e13) = e13
        & op1(e11,e13) = e13
        & op1(e13,e11) = e13 )
      | ( op1(e13,e13) = e13
        & op1(e13,e13) = e13
        & op1(e12,e13) = e13
        & op1(e13,e12) = e13 )
      | ( op1(e13,e13) = e13
        & op1(e13,e13) = e13
        & op1(e13,e13) = e13
        & op1(e13,e13) = e13 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).

fof(f11,axiom,
    ( ( op2(e20,e20) = e20
      | op2(e21,e20) = e21
      | op2(e22,e20) = e22
      | op2(e23,e20) = e23 )
    & ( op2(e20,e21) = e20
      | op2(e21,e21) = e21
      | op2(e22,e21) = e22
      | op2(e23,e21) = e23 )
    & ( op2(e20,e22) = e20
      | op2(e21,e22) = e21
      | op2(e22,e22) = e22
      | op2(e23,e22) = e23 )
    & ( op2(e20,e23) = e20
      | op2(e21,e23) = e21
      | op2(e22,e23) = e22
      | op2(e23,e23) = e23 )
    & ( ( op2(e20,op2(e20,e20)) != e20
        & op2(e20,op2(e20,e21)) != e21
        & op2(e20,op2(e20,e22)) != e22
        & op2(e20,op2(e20,e23)) != e23 )
      | ( op2(e21,op2(e21,e20)) != e20
        & op2(e21,op2(e21,e21)) != e21
        & op2(e21,op2(e21,e22)) != e22
        & op2(e21,op2(e21,e23)) != e23 )
      | ( op2(e22,op2(e22,e20)) != e20
        & op2(e22,op2(e22,e21)) != e21
        & op2(e22,op2(e22,e22)) != e22
        & op2(e22,op2(e22,e23)) != e23 )
      | ( op2(e23,op2(e23,e20)) != e20
        & op2(e23,op2(e23,e21)) != e21
        & op2(e23,op2(e23,e22)) != e22
        & op2(e23,op2(e23,e23)) != e23 ) )
    & ( ( op2(e20,e20) = e20
        & op2(e20,e20) = e20
        & op2(e20,e20) = e20
        & op2(e20,e20) = e20 )
      | ( op2(e20,e20) = e20
        & op2(e20,e20) = e20
        & op2(e21,e20) = e20
        & op2(e20,e21) = e20 )
      | ( op2(e20,e20) = e20
        & op2(e20,e20) = e20
        & op2(e22,e20) = e20
        & op2(e20,e22) = e20 )
      | ( op2(e20,e20) = e20
        & op2(e20,e20) = e20
        & op2(e23,e20) = e20
        & op2(e20,e23) = e20 )
      | ( op2(e20,e21) = e20
        & op2(e21,e20) = e20
        & op2(e20,e21) = e21
        & op2(e21,e20) = e21 )
      | ( op2(e20,e21) = e20
        & op2(e21,e20) = e20
        & op2(e21,e21) = e21
        & op2(e21,e21) = e21 )
      | ( op2(e20,e21) = e20
        & op2(e21,e20) = e20
        & op2(e22,e21) = e21
        & op2(e21,e22) = e21 )
      | ( op2(e20,e21) = e20
        & op2(e21,e20) = e20
        & op2(e23,e21) = e21
        & op2(e21,e23) = e21 )
      | ( op2(e20,e22) = e20
        & op2(e22,e20) = e20
        & op2(e20,e22) = e22
        & op2(e22,e20) = e22 )
      | ( op2(e20,e22) = e20
        & op2(e22,e20) = e20
        & op2(e21,e22) = e22
        & op2(e22,e21) = e22 )
      | ( op2(e20,e22) = e20
        & op2(e22,e20) = e20
        & op2(e22,e22) = e22
        & op2(e22,e22) = e22 )
      | ( op2(e20,e22) = e20
        & op2(e22,e20) = e20
        & op2(e23,e22) = e22
        & op2(e22,e23) = e22 )
      | ( op2(e20,e23) = e20
        & op2(e23,e20) = e20
        & op2(e20,e23) = e23
        & op2(e23,e20) = e23 )
      | ( op2(e20,e23) = e20
        & op2(e23,e20) = e20
        & op2(e21,e23) = e23
        & op2(e23,e21) = e23 )
      | ( op2(e20,e23) = e20
        & op2(e23,e20) = e20
        & op2(e22,e23) = e23
        & op2(e23,e22) = e23 )
      | ( op2(e20,e23) = e20
        & op2(e23,e20) = e20
        & op2(e23,e23) = e23
        & op2(e23,e23) = e23 )
      | ( op2(e21,e20) = e21
        & op2(e20,e21) = e21
        & op2(e20,e20) = e20
        & op2(e20,e20) = e20 )
      | ( op2(e21,e20) = e21
        & op2(e20,e21) = e21
        & op2(e21,e20) = e20
        & op2(e20,e21) = e20 )
      | ( op2(e21,e20) = e21
        & op2(e20,e21) = e21
        & op2(e22,e20) = e20
        & op2(e20,e22) = e20 )
      | ( op2(e21,e20) = e21
        & op2(e20,e21) = e21
        & op2(e23,e20) = e20
        & op2(e20,e23) = e20 )
      | ( op2(e21,e21) = e21
        & op2(e21,e21) = e21
        & op2(e20,e21) = e21
        & op2(e21,e20) = e21 )
      | ( op2(e21,e21) = e21
        & op2(e21,e21) = e21
        & op2(e21,e21) = e21
        & op2(e21,e21) = e21 )
      | ( op2(e21,e21) = e21
        & op2(e21,e21) = e21
        & op2(e22,e21) = e21
        & op2(e21,e22) = e21 )
      | ( op2(e21,e21) = e21
        & op2(e21,e21) = e21
        & op2(e23,e21) = e21
        & op2(e21,e23) = e21 )
      | ( op2(e21,e22) = e21
        & op2(e22,e21) = e21
        & op2(e20,e22) = e22
        & op2(e22,e20) = e22 )
      | ( op2(e21,e22) = e21
        & op2(e22,e21) = e21
        & op2(e21,e22) = e22
        & op2(e22,e21) = e22 )
      | ( op2(e21,e22) = e21
        & op2(e22,e21) = e21
        & op2(e22,e22) = e22
        & op2(e22,e22) = e22 )
      | ( op2(e21,e22) = e21
        & op2(e22,e21) = e21
        & op2(e23,e22) = e22
        & op2(e22,e23) = e22 )
      | ( op2(e21,e23) = e21
        & op2(e23,e21) = e21
        & op2(e20,e23) = e23
        & op2(e23,e20) = e23 )
      | ( op2(e21,e23) = e21
        & op2(e23,e21) = e21
        & op2(e21,e23) = e23
        & op2(e23,e21) = e23 )
      | ( op2(e21,e23) = e21
        & op2(e23,e21) = e21
        & op2(e22,e23) = e23
        & op2(e23,e22) = e23 )
      | ( op2(e21,e23) = e21
        & op2(e23,e21) = e21
        & op2(e23,e23) = e23
        & op2(e23,e23) = e23 )
      | ( op2(e22,e20) = e22
        & op2(e20,e22) = e22
        & op2(e20,e20) = e20
        & op2(e20,e20) = e20 )
      | ( op2(e22,e20) = e22
        & op2(e20,e22) = e22
        & op2(e21,e20) = e20
        & op2(e20,e21) = e20 )
      | ( op2(e22,e20) = e22
        & op2(e20,e22) = e22
        & op2(e22,e20) = e20
        & op2(e20,e22) = e20 )
      | ( op2(e22,e20) = e22
        & op2(e20,e22) = e22
        & op2(e23,e20) = e20
        & op2(e20,e23) = e20 )
      | ( op2(e22,e21) = e22
        & op2(e21,e22) = e22
        & op2(e20,e21) = e21
        & op2(e21,e20) = e21 )
      | ( op2(e22,e21) = e22
        & op2(e21,e22) = e22
        & op2(e21,e21) = e21
        & op2(e21,e21) = e21 )
      | ( op2(e22,e21) = e22
        & op2(e21,e22) = e22
        & op2(e22,e21) = e21
        & op2(e21,e22) = e21 )
      | ( op2(e22,e21) = e22
        & op2(e21,e22) = e22
        & op2(e23,e21) = e21
        & op2(e21,e23) = e21 )
      | ( op2(e22,e22) = e22
        & op2(e22,e22) = e22
        & op2(e20,e22) = e22
        & op2(e22,e20) = e22 )
      | ( op2(e22,e22) = e22
        & op2(e22,e22) = e22
        & op2(e21,e22) = e22
        & op2(e22,e21) = e22 )
      | ( op2(e22,e22) = e22
        & op2(e22,e22) = e22
        & op2(e22,e22) = e22
        & op2(e22,e22) = e22 )
      | ( op2(e22,e22) = e22
        & op2(e22,e22) = e22
        & op2(e23,e22) = e22
        & op2(e22,e23) = e22 )
      | ( op2(e22,e23) = e22
        & op2(e23,e22) = e22
        & op2(e20,e23) = e23
        & op2(e23,e20) = e23 )
      | ( op2(e22,e23) = e22
        & op2(e23,e22) = e22
        & op2(e21,e23) = e23
        & op2(e23,e21) = e23 )
      | ( op2(e22,e23) = e22
        & op2(e23,e22) = e22
        & op2(e22,e23) = e23
        & op2(e23,e22) = e23 )
      | ( op2(e22,e23) = e22
        & op2(e23,e22) = e22
        & op2(e23,e23) = e23
        & op2(e23,e23) = e23 )
      | ( op2(e23,e20) = e23
        & op2(e20,e23) = e23
        & op2(e20,e20) = e20
        & op2(e20,e20) = e20 )
      | ( op2(e23,e20) = e23
        & op2(e20,e23) = e23
        & op2(e21,e20) = e20
        & op2(e20,e21) = e20 )
      | ( op2(e23,e20) = e23
        & op2(e20,e23) = e23
        & op2(e22,e20) = e20
        & op2(e20,e22) = e20 )
      | ( op2(e23,e20) = e23
        & op2(e20,e23) = e23
        & op2(e23,e20) = e20
        & op2(e20,e23) = e20 )
      | ( op2(e23,e21) = e23
        & op2(e21,e23) = e23
        & op2(e20,e21) = e21
        & op2(e21,e20) = e21 )
      | ( op2(e23,e21) = e23
        & op2(e21,e23) = e23
        & op2(e21,e21) = e21
        & op2(e21,e21) = e21 )
      | ( op2(e23,e21) = e23
        & op2(e21,e23) = e23
        & op2(e22,e21) = e21
        & op2(e21,e22) = e21 )
      | ( op2(e23,e21) = e23
        & op2(e21,e23) = e23
        & op2(e23,e21) = e21
        & op2(e21,e23) = e21 )
      | ( op2(e23,e22) = e23
        & op2(e22,e23) = e23
        & op2(e20,e22) = e22
        & op2(e22,e20) = e22 )
      | ( op2(e23,e22) = e23
        & op2(e22,e23) = e23
        & op2(e21,e22) = e22
        & op2(e22,e21) = e22 )
      | ( op2(e23,e22) = e23
        & op2(e22,e23) = e23
        & op2(e22,e22) = e22
        & op2(e22,e22) = e22 )
      | ( op2(e23,e22) = e23
        & op2(e22,e23) = e23
        & op2(e23,e22) = e22
        & op2(e22,e23) = e22 )
      | ( op2(e23,e23) = e23
        & op2(e23,e23) = e23
        & op2(e20,e23) = e23
        & op2(e23,e20) = e23 )
      | ( op2(e23,e23) = e23
        & op2(e23,e23) = e23
        & op2(e21,e23) = e23
        & op2(e23,e21) = e23 )
      | ( op2(e23,e23) = e23
        & op2(e23,e23) = e23
        & op2(e22,e23) = e23
        & op2(e23,e22) = e23 )
      | ( op2(e23,e23) = e23
        & op2(e23,e23) = e23
        & op2(e23,e23) = e23
        & op2(e23,e23) = e23 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).

fof(f12,axiom,
    ( e10 = op1(e11,e11)
    & e12 = op1(op1(op1(e11,e11),e11),op1(e11,e11))
    & e13 = op1(op1(e11,e11),e11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).

fof(f13,axiom,
    ( e20 = op2(e21,e21)
    & e22 = op2(op2(op2(e21,e21),e21),op2(e21,e21))
    & e23 = op2(op2(e21,e21),e21) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).

fof(f15,axiom,
    ( h2(e11) = e21
    & h2(e10) = op2(e21,e21)
    & h2(e12) = op2(op2(op2(e21,e21),e21),op2(e21,e21))
    & h2(e13) = op2(op2(e21,e21),e21) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).

fof(f16,axiom,
    ( h3(e11) = e22
    & h3(e10) = op2(e22,e22)
    & h3(e12) = op2(op2(op2(e22,e22),e22),op2(e22,e22))
    & h3(e13) = op2(op2(e22,e22),e22) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).

fof(f17,axiom,
    ( h4(e11) = e23
    & h4(e10) = op2(e23,e23)
    & h4(e12) = op2(op2(op2(e23,e23),e23),op2(e23,e23))
    & h4(e13) = op2(op2(e23,e23),e23) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).

fof(f18,conjecture,
    ( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
      & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
      & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
      & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
      & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
      & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
      & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
      & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
      & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
      & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
      & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
      & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
      & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
      & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
      & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
      & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
      & ( h1(e10) = e20
        | h1(e11) = e20
        | h1(e12) = e20
        | h1(e13) = e20 )
      & ( h1(e10) = e21
        | h1(e11) = e21
        | h1(e12) = e21
        | h1(e13) = e21 )
      & ( h1(e10) = e22
        | h1(e11) = e22
        | h1(e12) = e22
        | h1(e13) = e22 )
      & ( h1(e10) = e23
        | h1(e11) = e23
        | h1(e12) = e23
        | h1(e13) = e23 ) )
    | ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
      & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
      & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
      & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
      & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
      & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
      & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
      & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
      & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
      & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
      & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
      & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
      & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
      & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
      & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
      & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
      & ( h2(e10) = e20
        | h2(e11) = e20
        | h2(e12) = e20
        | h2(e13) = e20 )
      & ( h2(e10) = e21
        | h2(e11) = e21
        | h2(e12) = e21
        | h2(e13) = e21 )
      & ( h2(e10) = e22
        | h2(e11) = e22
        | h2(e12) = e22
        | h2(e13) = e22 )
      & ( h2(e10) = e23
        | h2(e11) = e23
        | h2(e12) = e23
        | h2(e13) = e23 ) )
    | ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
      & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
      & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
      & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
      & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
      & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
      & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
      & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
      & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
      & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
      & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
      & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
      & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
      & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
      & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
      & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
      & ( h3(e10) = e20
        | h3(e11) = e20
        | h3(e12) = e20
        | h3(e13) = e20 )
      & ( h3(e10) = e21
        | h3(e11) = e21
        | h3(e12) = e21
        | h3(e13) = e21 )
      & ( h3(e10) = e22
        | h3(e11) = e22
        | h3(e12) = e22
        | h3(e13) = e22 )
      & ( h3(e10) = e23
        | h3(e11) = e23
        | h3(e12) = e23
        | h3(e13) = e23 ) )
    | ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
      & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
      & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
      & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
      & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
      & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
      & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
      & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
      & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
      & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
      & h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
      & h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
      & h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
      & h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
      & h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
      & h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
      & ( h4(e10) = e20
        | h4(e11) = e20
        | h4(e12) = e20
        | h4(e13) = e20 )
      & ( h4(e10) = e21
        | h4(e11) = e21
        | h4(e12) = e21
        | h4(e13) = e21 )
      & ( h4(e10) = e22
        | h4(e11) = e22
        | h4(e12) = e22
        | h4(e13) = e22 )
      & ( h4(e10) = e23
        | h4(e11) = e23
        | h4(e12) = e23
        | h4(e13) = e23 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f19,negated_conjecture,
    ~ ( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
        & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
        & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
        & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
        & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
        & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
        & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
        & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
        & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
        & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
        & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
        & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
        & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
        & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
        & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
        & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
        & ( h1(e10) = e20
          | h1(e11) = e20
          | h1(e12) = e20
          | h1(e13) = e20 )
        & ( h1(e10) = e21
          | h1(e11) = e21
          | h1(e12) = e21
          | h1(e13) = e21 )
        & ( h1(e10) = e22
          | h1(e11) = e22
          | h1(e12) = e22
          | h1(e13) = e22 )
        & ( h1(e10) = e23
          | h1(e11) = e23
          | h1(e12) = e23
          | h1(e13) = e23 ) )
      | ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
        & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
        & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
        & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
        & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
        & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
        & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
        & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
        & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
        & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
        & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
        & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
        & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
        & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
        & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
        & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
        & ( h2(e10) = e20
          | h2(e11) = e20
          | h2(e12) = e20
          | h2(e13) = e20 )
        & ( h2(e10) = e21
          | h2(e11) = e21
          | h2(e12) = e21
          | h2(e13) = e21 )
        & ( h2(e10) = e22
          | h2(e11) = e22
          | h2(e12) = e22
          | h2(e13) = e22 )
        & ( h2(e10) = e23
          | h2(e11) = e23
          | h2(e12) = e23
          | h2(e13) = e23 ) )
      | ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
        & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
        & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
        & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
        & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
        & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
        & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
        & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
        & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
        & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
        & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
        & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
        & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
        & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
        & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
        & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
        & ( h3(e10) = e20
          | h3(e11) = e20
          | h3(e12) = e20
          | h3(e13) = e20 )
        & ( h3(e10) = e21
          | h3(e11) = e21
          | h3(e12) = e21
          | h3(e13) = e21 )
        & ( h3(e10) = e22
          | h3(e11) = e22
          | h3(e12) = e22
          | h3(e13) = e22 )
        & ( h3(e10) = e23
          | h3(e11) = e23
          | h3(e12) = e23
          | h3(e13) = e23 ) )
      | ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
        & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
        & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
        & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
        & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
        & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
        & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
        & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
        & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
        & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
        & h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
        & h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
        & h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
        & h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
        & h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
        & h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
        & ( h4(e10) = e20
          | h4(e11) = e20
          | h4(e12) = e20
          | h4(e13) = e20 )
        & ( h4(e10) = e21
          | h4(e11) = e21
          | h4(e12) = e21
          | h4(e13) = e21 )
        & ( h4(e10) = e22
          | h4(e11) = e22
          | h4(e12) = e22
          | h4(e13) = e22 )
        & ( h4(e10) = e23
          | h4(e11) = e23
          | h4(e12) = e23
          | h4(e13) = e23 ) ) ),
    inference(negated_conjecture,[status(cth)],[f18]) ).

fof(f20,plain,
    ( ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
      | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | ( e20 != h1(e10)
        & e20 != h1(e11)
        & e20 != h1(e12)
        & e20 != h1(e13) )
      | ( e21 != h1(e10)
        & e21 != h1(e11)
        & e21 != h1(e12)
        & e21 != h1(e13) )
      | ( e22 != h1(e10)
        & e22 != h1(e11)
        & e22 != h1(e12)
        & e22 != h1(e13) )
      | ( e23 != h1(e10)
        & e23 != h1(e11)
        & e23 != h1(e12)
        & e23 != h1(e13) ) )
    & ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
      | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | ( e20 != h2(e10)
        & e20 != h2(e11)
        & e20 != h2(e12)
        & e20 != h2(e13) )
      | ( e21 != h2(e10)
        & e21 != h2(e11)
        & e21 != h2(e12)
        & e21 != h2(e13) )
      | ( e22 != h2(e10)
        & e22 != h2(e11)
        & e22 != h2(e12)
        & e22 != h2(e13) )
      | ( e23 != h2(e10)
        & e23 != h2(e11)
        & e23 != h2(e12)
        & e23 != h2(e13) ) )
    & ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
      | ( e20 != h3(e10)
        & e20 != h3(e11)
        & e20 != h3(e12)
        & e20 != h3(e13) )
      | ( e21 != h3(e10)
        & e21 != h3(e11)
        & e21 != h3(e12)
        & e21 != h3(e13) )
      | ( e22 != h3(e10)
        & e22 != h3(e11)
        & e22 != h3(e12)
        & e22 != h3(e13) )
      | ( e23 != h3(e10)
        & e23 != h3(e11)
        & e23 != h3(e12)
        & e23 != h3(e13) ) )
    & ( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | ( e20 != h4(e10)
        & e20 != h4(e11)
        & e20 != h4(e12)
        & e20 != h4(e13) )
      | ( e21 != h4(e10)
        & e21 != h4(e11)
        & e21 != h4(e12)
        & e21 != h4(e13) )
      | ( e22 != h4(e10)
        & e22 != h4(e11)
        & e22 != h4(e12)
        & e22 != h4(e13) )
      | ( e23 != h4(e10)
        & e23 != h4(e11)
        & e23 != h4(e12)
        & e23 != h4(e13) ) ) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f27,plain,
    ( e13 = op1(e11,e12)
    | e12 = op1(e11,e12)
    | e11 = op1(e11,e12)
    | e10 = op1(e11,e12) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f28,plain,
    ( e13 = op1(e11,e13)
    | e12 = op1(e11,e13)
    | e11 = op1(e11,e13)
    | e10 = op1(e11,e13) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f37,plain,
    ( e10 = op1(e10,e13)
    | e10 = op1(e10,e12)
    | e10 = op1(e10,e11)
    | e10 = op1(e10,e10) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f38,plain,
    ( e10 = op1(e13,e10)
    | e10 = op1(e12,e10)
    | e10 = op1(e11,e10)
    | e10 = op1(e10,e10) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f39,plain,
    ( e11 = op1(e10,e13)
    | e11 = op1(e10,e12)
    | e11 = op1(e10,e11)
    | op1(e10,e10) = e11 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f40,plain,
    ( e11 = op1(e13,e10)
    | e11 = op1(e12,e10)
    | e11 = op1(e11,e10)
    | op1(e10,e10) = e11 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f41,plain,
    ( e12 = op1(e10,e13)
    | e12 = op1(e10,e12)
    | e12 = op1(e10,e11)
    | op1(e10,e10) = e12 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f42,plain,
    ( e12 = op1(e13,e10)
    | e12 = op1(e12,e10)
    | e12 = op1(e11,e10)
    | op1(e10,e10) = e12 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f44,plain,
    ( e13 = op1(e13,e10)
    | e13 = op1(e12,e10)
    | e13 = op1(e11,e10)
    | op1(e10,e10) = e13 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f47,plain,
    ( e11 = op1(e11,e13)
    | e11 = op1(e11,e12)
    | e11 = op1(e11,e11)
    | e11 = op1(e11,e10) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f48,plain,
    ( e11 = op1(e13,e11)
    | e11 = op1(e12,e11)
    | e11 = op1(e11,e11)
    | e11 = op1(e10,e11) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f49,plain,
    ( e12 = op1(e11,e13)
    | e12 = op1(e11,e12)
    | e12 = op1(e11,e11)
    | e12 = op1(e11,e10) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f50,plain,
    ( e12 = op1(e13,e11)
    | e12 = op1(e12,e11)
    | e12 = op1(e11,e11)
    | e12 = op1(e10,e11) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f51,plain,
    ( e13 = op1(e11,e13)
    | e13 = op1(e11,e12)
    | e13 = op1(e11,e11)
    | e13 = op1(e11,e10) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f53,plain,
    ( e10 = op1(e12,e13)
    | e10 = op1(e12,e12)
    | e10 = op1(e12,e11)
    | e10 = op1(e12,e10) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f54,plain,
    ( e10 = op1(e13,e12)
    | e10 = op1(e12,e12)
    | e10 = op1(e11,e12)
    | e10 = op1(e10,e12) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f55,plain,
    ( e11 = op1(e12,e13)
    | e11 = op1(e12,e12)
    | e11 = op1(e12,e11)
    | e11 = op1(e12,e10) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f56,plain,
    ( e11 = op1(e13,e12)
    | e11 = op1(e12,e12)
    | e11 = op1(e11,e12)
    | e11 = op1(e10,e12) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f58,plain,
    ( e12 = op1(e13,e12)
    | e12 = op1(e12,e12)
    | e12 = op1(e11,e12)
    | e12 = op1(e10,e12) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f59,plain,
    ( e13 = op1(e12,e13)
    | e13 = op1(e12,e12)
    | e13 = op1(e12,e11)
    | e13 = op1(e12,e10) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f60,plain,
    ( e13 = op1(e13,e12)
    | e13 = op1(e12,e12)
    | e13 = op1(e11,e12)
    | e13 = op1(e10,e12) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f61,plain,
    ( e10 = op1(e13,e13)
    | e10 = op1(e13,e12)
    | e10 = op1(e13,e11)
    | e10 = op1(e13,e10) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f62,plain,
    ( e10 = op1(e13,e13)
    | e10 = op1(e12,e13)
    | e10 = op1(e11,e13)
    | e10 = op1(e10,e13) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f64,plain,
    ( e11 = op1(e13,e13)
    | e11 = op1(e12,e13)
    | e11 = op1(e11,e13)
    | e11 = op1(e10,e13) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f65,plain,
    ( e12 = op1(e13,e13)
    | e12 = op1(e13,e12)
    | e12 = op1(e13,e11)
    | e12 = op1(e13,e10) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f67,plain,
    ( e13 = op1(e13,e13)
    | e13 = op1(e13,e12)
    | e13 = op1(e13,e11)
    | e13 = op1(e13,e10) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f68,plain,
    ( e13 = op1(e13,e13)
    | e13 = op1(e12,e13)
    | e13 = op1(e11,e13)
    | e13 = op1(e10,e13) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f77,plain,
    ( e23 = op2(e22,e20)
    | e22 = op2(e22,e20)
    | e21 = op2(e22,e20)
    | e20 = op2(e22,e20) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f82,plain,
    ( e23 = op2(e23,e21)
    | e22 = op2(e23,e21)
    | e21 = op2(e23,e21)
    | e20 = op2(e23,e21) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f85,plain,
    ( e20 = op2(e20,e23)
    | e20 = op2(e20,e22)
    | e20 = op2(e20,e21)
    | e20 = op2(e20,e20) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f86,plain,
    ( e20 = op2(e23,e20)
    | e20 = op2(e22,e20)
    | e20 = op2(e21,e20)
    | e20 = op2(e20,e20) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f87,plain,
    ( e21 = op2(e20,e23)
    | e21 = op2(e20,e22)
    | e21 = op2(e20,e21)
    | op2(e20,e20) = e21 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f89,plain,
    ( e22 = op2(e20,e23)
    | e22 = op2(e20,e22)
    | e22 = op2(e20,e21)
    | op2(e20,e20) = e22 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f92,plain,
    ( e23 = op2(e23,e20)
    | e23 = op2(e22,e20)
    | e23 = op2(e21,e20)
    | op2(e20,e20) = e23 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f96,plain,
    ( e21 = op2(e23,e21)
    | e21 = op2(e22,e21)
    | e21 = op2(e21,e21)
    | e21 = op2(e20,e21) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f97,plain,
    ( e22 = op2(e21,e23)
    | e22 = op2(e21,e22)
    | e22 = op2(e21,e21)
    | e22 = op2(e21,e20) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f98,plain,
    ( e22 = op2(e23,e21)
    | e22 = op2(e22,e21)
    | e22 = op2(e21,e21)
    | e22 = op2(e20,e21) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f99,plain,
    ( e23 = op2(e21,e23)
    | e23 = op2(e21,e22)
    | e23 = op2(e21,e21)
    | e23 = op2(e21,e20) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f101,plain,
    ( e20 = op2(e22,e23)
    | e20 = op2(e22,e22)
    | e20 = op2(e22,e21)
    | e20 = op2(e22,e20) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f102,plain,
    ( e20 = op2(e23,e22)
    | e20 = op2(e22,e22)
    | e20 = op2(e21,e22)
    | e20 = op2(e20,e22) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f103,plain,
    ( e21 = op2(e22,e23)
    | e21 = op2(e22,e22)
    | e21 = op2(e22,e21)
    | e21 = op2(e22,e20) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f106,plain,
    ( e22 = op2(e23,e22)
    | e22 = op2(e22,e22)
    | e22 = op2(e21,e22)
    | e22 = op2(e20,e22) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f107,plain,
    ( e23 = op2(e22,e23)
    | e23 = op2(e22,e22)
    | e23 = op2(e22,e21)
    | e23 = op2(e22,e20) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f108,plain,
    ( e23 = op2(e23,e22)
    | e23 = op2(e22,e22)
    | e23 = op2(e21,e22)
    | e23 = op2(e20,e22) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f109,plain,
    ( e20 = op2(e23,e23)
    | e20 = op2(e23,e22)
    | e20 = op2(e23,e21)
    | e20 = op2(e23,e20) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f110,plain,
    ( e20 = op2(e23,e23)
    | e20 = op2(e22,e23)
    | e20 = op2(e21,e23)
    | e20 = op2(e20,e23) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f114,plain,
    ( e22 = op2(e23,e23)
    | e22 = op2(e22,e23)
    | e22 = op2(e21,e23)
    | e22 = op2(e20,e23) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f115,plain,
    ( e23 = op2(e23,e23)
    | e23 = op2(e23,e22)
    | e23 = op2(e23,e21)
    | e23 = op2(e23,e20) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f116,plain,
    ( e23 = op2(e23,e23)
    | e23 = op2(e22,e23)
    | e23 = op2(e21,e23)
    | e23 = op2(e20,e23) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f117,plain,
    op1(e13,e12) != op1(e13,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f121,plain,
    op1(e13,e10) != op1(e13,e12),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    op1(e13,e10) != op1(e13,e11),
    inference(cnf_transformation,[],[f5]) ).

fof(f129,plain,
    op1(e11,e12) != op1(e11,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    op1(e11,e11) != op1(e11,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    op1(e11,e11) != op1(e11,e12),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    op1(e11,e10) != op1(e11,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f133,plain,
    op1(e11,e10) != op1(e11,e12),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    op1(e10,e12) != op1(e10,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    op1(e11,e13) != op1(e13,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f145,plain,
    op1(e10,e13) != op1(e12,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    op1(e10,e13) != op1(e11,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    op1(e11,e12) != op1(e13,e12),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    op1(e10,e12) != op1(e13,e12),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    op1(e10,e12) != op1(e12,e12),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    op1(e11,e11) != op1(e13,e11),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    op1(e11,e11) != op1(e12,e11),
    inference(cnf_transformation,[],[f5]) ).

fof(f161,plain,
    op1(e11,e10) != op1(e12,e10),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    op1(e10,e10) != op1(e13,e10),
    inference(cnf_transformation,[],[f5]) ).

fof(f169,plain,
    op2(e23,e20) != op2(e23,e22),
    inference(cnf_transformation,[],[f6]) ).

fof(f173,plain,
    op2(e22,e21) != op2(e22,e22),
    inference(cnf_transformation,[],[f6]) ).

fof(f175,plain,
    op2(e22,e20) != op2(e22,e22),
    inference(cnf_transformation,[],[f6]) ).

fof(f176,plain,
    op2(e22,e20) != op2(e22,e21),
    inference(cnf_transformation,[],[f6]) ).

fof(f178,plain,
    op2(e21,e21) != op2(e21,e23),
    inference(cnf_transformation,[],[f6]) ).

fof(f179,plain,
    op2(e21,e21) != op2(e21,e22),
    inference(cnf_transformation,[],[f6]) ).

fof(f186,plain,
    op2(e20,e20) != op2(e20,e23),
    inference(cnf_transformation,[],[f6]) ).

fof(f198,plain,
    op2(e20,e22) != op2(e23,e22),
    inference(cnf_transformation,[],[f6]) ).

fof(f200,plain,
    op2(e20,e22) != op2(e21,e22),
    inference(cnf_transformation,[],[f6]) ).

fof(f201,plain,
    op2(e22,e21) != op2(e23,e21),
    inference(cnf_transformation,[],[f6]) ).

fof(f202,plain,
    op2(e21,e21) != op2(e23,e21),
    inference(cnf_transformation,[],[f6]) ).

fof(f203,plain,
    op2(e21,e21) != op2(e22,e21),
    inference(cnf_transformation,[],[f6]) ).

fof(f208,plain,
    op2(e21,e20) != op2(e23,e20),
    inference(cnf_transformation,[],[f6]) ).

fof(f211,plain,
    op2(e20,e20) != op2(e22,e20),
    inference(cnf_transformation,[],[f6]) ).

fof(f213,plain,
    e12 != e13,
    inference(cnf_transformation,[],[f7]) ).

fof(f214,plain,
    e11 != e13,
    inference(cnf_transformation,[],[f7]) ).

fof(f215,plain,
    e11 != e12,
    inference(cnf_transformation,[],[f7]) ).

fof(f216,plain,
    e10 != e13,
    inference(cnf_transformation,[],[f7]) ).

fof(f217,plain,
    e10 != e12,
    inference(cnf_transformation,[],[f7]) ).

fof(f218,plain,
    e10 != e11,
    inference(cnf_transformation,[],[f7]) ).

fof(f219,plain,
    e22 != e23,
    inference(cnf_transformation,[],[f8]) ).

fof(f220,plain,
    e21 != e23,
    inference(cnf_transformation,[],[f8]) ).

fof(f221,plain,
    e21 != e22,
    inference(cnf_transformation,[],[f8]) ).

fof(f224,plain,
    e20 != e21,
    inference(cnf_transformation,[],[f8]) ).

fof(f241,plain,
    ( e13 != op1(e10,op1(e10,e13))
    | ~ sP63 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f242,plain,
    ( e12 != op1(e10,op1(e10,e12))
    | ~ sP63 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f244,plain,
    ( e10 != op1(e10,op1(e10,e10))
    | ~ sP63 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f245,plain,
    ( e13 != op1(e11,op1(e11,e13))
    | ~ sP62 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f246,plain,
    ( e12 != op1(e11,op1(e11,e12))
    | ~ sP62 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f252,plain,
    ( e10 = op1(e10,e10)
    | ~ sP61 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f253,plain,
    ( e10 = op1(e10,e11)
    | ~ sP60 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f260,plain,
    ( e10 = op1(e10,e10)
    | ~ sP59 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f264,plain,
    ( e10 = op1(e10,e10)
    | ~ sP58 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f268,plain,
    ( e10 = op1(e10,e11)
    | ~ sP57 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f272,plain,
    ( e10 = op1(e10,e11)
    | ~ sP56 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f276,plain,
    ( e10 = op1(e10,e11)
    | ~ sP55 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f280,plain,
    ( e10 = op1(e10,e11)
    | ~ sP54 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f282,plain,
    ( e12 = op1(e10,e12)
    | ~ sP53 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f284,plain,
    ( e10 = op1(e10,e12)
    | ~ sP53 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f286,plain,
    ( e12 = op1(e11,e12)
    | ~ sP52 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f287,plain,
    ( e10 = op1(e12,e10)
    | ~ sP52 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f288,plain,
    ( e10 = op1(e10,e12)
    | ~ sP52 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f290,plain,
    ( e12 = op1(e12,e12)
    | ~ sP51 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f291,plain,
    ( e10 = op1(e12,e10)
    | ~ sP51 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f292,plain,
    ( e10 = op1(e10,e12)
    | ~ sP51 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f293,plain,
    ( e12 = op1(e12,e13)
    | ~ sP50 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f295,plain,
    ( e10 = op1(e12,e10)
    | ~ sP50 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f296,plain,
    ( e10 = op1(e10,e12)
    | ~ sP50 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f297,plain,
    ( e13 = op1(e13,e10)
    | ~ sP49 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f298,plain,
    ( e13 = op1(e10,e13)
    | ~ sP49 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f299,plain,
    ( e10 = op1(e13,e10)
    | ~ sP49 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f301,plain,
    ( e13 = op1(e13,e11)
    | ~ sP48 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f305,plain,
    ( e13 = op1(e13,e12)
    | ~ sP47 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f306,plain,
    ( e13 = op1(e12,e13)
    | ~ sP47 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f307,plain,
    ( e10 = op1(e13,e10)
    | ~ sP47 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f310,plain,
    ( e13 = op1(e13,e13)
    | ~ sP46 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f315,plain,
    ( e11 = op1(e10,e11)
    | ~ sP45 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f319,plain,
    ( e11 = op1(e10,e11)
    | ~ sP44 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f323,plain,
    ( e11 = op1(e10,e11)
    | ~ sP43 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f327,plain,
    ( e11 = op1(e10,e11)
    | ~ sP42 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f332,plain,
    ( e11 = op1(e11,e11)
    | ~ sP41 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f336,plain,
    ( e11 = op1(e11,e11)
    | ~ sP40 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f340,plain,
    ( e11 = op1(e11,e11)
    | ~ sP39 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f344,plain,
    ( e11 = op1(e11,e11)
    | ~ sP38 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f347,plain,
    ( e11 = op1(e12,e11)
    | ~ sP37 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f351,plain,
    ( e11 = op1(e12,e11)
    | ~ sP36 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f355,plain,
    ( e11 = op1(e12,e11)
    | ~ sP35 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f359,plain,
    ( e11 = op1(e12,e11)
    | ~ sP34 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f362,plain,
    ( e13 = op1(e10,e13)
    | ~ sP33 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f364,plain,
    ( e11 = op1(e11,e13)
    | ~ sP33 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f365,plain,
    ( e13 = op1(e13,e11)
    | ~ sP32 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f369,plain,
    ( e13 = op1(e13,e12)
    | ~ sP31 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f370,plain,
    ( e13 = op1(e12,e13)
    | ~ sP31 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f372,plain,
    ( e11 = op1(e11,e13)
    | ~ sP31 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f374,plain,
    ( e13 = op1(e13,e13)
    | ~ sP30 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f378,plain,
    ( e10 = op1(e10,e10)
    | ~ sP29 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f381,plain,
    ( e10 = op1(e10,e11)
    | ~ sP28 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f385,plain,
    ( e10 = op1(e10,e12)
    | ~ sP27 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f387,plain,
    ( e12 = op1(e10,e12)
    | ~ sP27 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f390,plain,
    ( e10 = op1(e13,e10)
    | ~ sP26 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f391,plain,
    ( e12 = op1(e10,e12)
    | ~ sP26 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f392,plain,
    ( e12 = op1(e12,e10)
    | ~ sP26 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f394,plain,
    ( e11 = op1(e10,e11)
    | ~ sP25 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f398,plain,
    ( e11 = op1(e11,e11)
    | ~ sP24 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f402,plain,
    ( e11 = op1(e12,e11)
    | ~ sP23 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f405,plain,
    ( e11 = op1(e11,e13)
    | ~ sP22 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f407,plain,
    ( e12 = op1(e11,e12)
    | ~ sP22 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f410,plain,
    ( e12 = op1(e10,e12)
    | ~ sP21 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f412,plain,
    ( e12 = op1(e12,e12)
    | ~ sP21 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f414,plain,
    ( e12 = op1(e11,e12)
    | ~ sP20 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f416,plain,
    ( e12 = op1(e12,e12)
    | ~ sP20 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f420,plain,
    ( e12 = op1(e12,e12)
    | ~ sP19 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f421,plain,
    ( e12 = op1(e12,e13)
    | ~ sP18 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f422,plain,
    ( e12 = op1(e13,e12)
    | ~ sP18 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f424,plain,
    ( e12 = op1(e12,e12)
    | ~ sP18 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f425,plain,
    ( e13 = op1(e13,e10)
    | ~ sP17 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f426,plain,
    ( e13 = op1(e10,e13)
    | ~ sP17 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f428,plain,
    ( e12 = op1(e12,e13)
    | ~ sP17 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f429,plain,
    ( e13 = op1(e13,e11)
    | ~ sP16 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f433,plain,
    ( e13 = op1(e13,e12)
    | ~ sP15 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f434,plain,
    ( e13 = op1(e12,e13)
    | ~ sP15 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f435,plain,
    ( e12 = op1(e13,e12)
    | ~ sP15 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f438,plain,
    ( e13 = op1(e13,e13)
    | ~ sP14 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f440,plain,
    ( e12 = op1(e12,e13)
    | ~ sP14 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f442,plain,
    ( e10 = op1(e10,e10)
    | ~ sP13 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f445,plain,
    ( e10 = op1(e10,e11)
    | ~ sP12 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f449,plain,
    ( e10 = op1(e10,e12)
    | ~ sP11 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f450,plain,
    ( e10 = op1(e12,e10)
    | ~ sP11 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f451,plain,
    ( e13 = op1(e10,e13)
    | ~ sP11 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f454,plain,
    ( e10 = op1(e13,e10)
    | ~ sP10 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f455,plain,
    ( e13 = op1(e10,e13)
    | ~ sP10 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f456,plain,
    ( e13 = op1(e13,e10)
    | ~ sP10 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f458,plain,
    ( e11 = op1(e10,e11)
    | ~ sP9 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f462,plain,
    ( e11 = op1(e11,e11)
    | ~ sP8 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f466,plain,
    ( e11 = op1(e12,e11)
    | ~ sP7 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f472,plain,
    ( e13 = op1(e13,e11)
    | ~ sP6 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f474,plain,
    ( e12 = op1(e10,e12)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f475,plain,
    ( e13 = op1(e12,e13)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f476,plain,
    ( e13 = op1(e13,e12)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f478,plain,
    ( e12 = op1(e11,e12)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f479,plain,
    ( e13 = op1(e12,e13)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f482,plain,
    ( e12 = op1(e12,e12)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f483,plain,
    ( e13 = op1(e12,e13)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f484,plain,
    ( e13 = op1(e13,e12)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f486,plain,
    ( e12 = op1(e13,e12)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f487,plain,
    ( e13 = op1(e12,e13)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f488,plain,
    ( e13 = op1(e13,e12)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f490,plain,
    ( e13 = op1(e10,e13)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f492,plain,
    ( e13 = op1(e13,e13)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f493,plain,
    ( e13 = op1(e13,e11)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f501,plain,
    ( e11 != op1(e13,op1(e13,e11))
    | e13 != op1(e12,op1(e12,e13))
    | sP62
    | sP63 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f503,plain,
    ( e11 != op1(e13,op1(e13,e11))
    | e11 != op1(e12,op1(e12,e11))
    | sP62
    | sP63 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f526,plain,
    ( e13 = op1(e13,e13)
    | e13 = op1(e12,e13)
    | sP0
    | sP1
    | sP2
    | sP3
    | sP4
    | sP5
    | sP6
    | sP7
    | sP8
    | sP9
    | sP10
    | sP11
    | sP12
    | sP13
    | sP14
    | sP15
    | sP16
    | sP17
    | sP18
    | sP19
    | sP20
    | sP21
    | sP22
    | sP23
    | sP24
    | sP25
    | sP26
    | sP27
    | sP28
    | sP29
    | sP30
    | sP31
    | sP32
    | sP33
    | sP34
    | sP35
    | sP36
    | sP37
    | sP38
    | sP39
    | sP40
    | sP41
    | sP42
    | sP43
    | sP44
    | sP45
    | sP46
    | sP47
    | sP48
    | sP49
    | sP50
    | sP51
    | sP52
    | sP53
    | sP54
    | sP55
    | sP56
    | sP57
    | sP58
    | sP59
    | sP60
    | sP61 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f528,plain,
    ( e13 = op1(e13,e13)
    | sP0
    | sP1
    | sP2
    | sP3
    | sP4
    | sP5
    | sP6
    | sP7
    | sP8
    | sP9
    | sP10
    | sP11
    | sP12
    | sP13
    | sP14
    | sP15
    | sP16
    | sP17
    | sP18
    | sP19
    | sP20
    | sP21
    | sP22
    | sP23
    | sP24
    | sP25
    | sP26
    | sP27
    | sP28
    | sP29
    | sP30
    | sP31
    | sP32
    | sP33
    | sP34
    | sP35
    | sP36
    | sP37
    | sP38
    | sP39
    | sP40
    | sP41
    | sP42
    | sP43
    | sP44
    | sP45
    | sP46
    | sP47
    | sP48
    | sP49
    | sP50
    | sP51
    | sP52
    | sP53
    | sP54
    | sP55
    | sP56
    | sP57
    | sP58
    | sP59
    | sP60
    | sP61 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f529,plain,
    ( e13 = op1(e13,e10)
    | e12 = op1(e12,e10)
    | e11 = op1(e11,e10)
    | e10 = op1(e10,e10) ),
    inference(cnf_transformation,[],[f10]) ).

fof(f530,plain,
    ( e13 = op1(e13,e11)
    | e12 = op1(e12,e11)
    | e11 = op1(e11,e11)
    | e10 = op1(e10,e11) ),
    inference(cnf_transformation,[],[f10]) ).

fof(f531,plain,
    ( e13 = op1(e13,e12)
    | e12 = op1(e12,e12)
    | e11 = op1(e11,e12)
    | e10 = op1(e10,e12) ),
    inference(cnf_transformation,[],[f10]) ).

fof(f532,plain,
    ( e13 = op1(e13,e13)
    | e12 = op1(e12,e13)
    | e11 = op1(e11,e13)
    | e10 = op1(e10,e13) ),
    inference(cnf_transformation,[],[f10]) ).

fof(f536,plain,
    ( e20 != op2(e20,op2(e20,e20))
    | ~ sP127 ),
    inference(cnf_transformation,[],[f11]) ).

fof(f538,plain,
    ( e22 != op2(e21,op2(e21,e22))
    | ~ sP126 ),
    inference(cnf_transformation,[],[f11]) ).

fof(f793,plain,
    ( e21 != op2(e23,op2(e23,e21))
    | e23 != op2(e22,op2(e22,e23))
    | sP126
    | sP127 ),
    inference(cnf_transformation,[],[f11]) ).

fof(f821,plain,
    ( e23 = op2(e23,e20)
    | e22 = op2(e22,e20)
    | e21 = op2(e21,e20)
    | e20 = op2(e20,e20) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f822,plain,
    ( e23 = op2(e23,e21)
    | e22 = op2(e22,e21)
    | e21 = op2(e21,e21)
    | e20 = op2(e20,e21) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f823,plain,
    ( e23 = op2(e23,e22)
    | e22 = op2(e22,e22)
    | e21 = op2(e21,e22)
    | e20 = op2(e20,e22) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f824,plain,
    ( e23 = op2(e23,e23)
    | e22 = op2(e22,e23)
    | e21 = op2(e21,e23)
    | e20 = op2(e20,e23) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f825,plain,
    e13 = op1(op1(e11,e11),e11),
    inference(cnf_transformation,[],[f12]) ).

fof(f827,plain,
    e10 = op1(e11,e11),
    inference(cnf_transformation,[],[f12]) ).

fof(f828,plain,
    e23 = op2(op2(e21,e21),e21),
    inference(cnf_transformation,[],[f13]) ).

fof(f829,plain,
    e22 = op2(op2(op2(e21,e21),e21),op2(e21,e21)),
    inference(cnf_transformation,[],[f13]) ).

fof(f830,plain,
    e20 = op2(e21,e21),
    inference(cnf_transformation,[],[f13]) ).

fof(f835,plain,
    op2(op2(e21,e21),e21) = h2(e13),
    inference(cnf_transformation,[],[f15]) ).

fof(f836,plain,
    op2(op2(op2(e21,e21),e21),op2(e21,e21)) = h2(e12),
    inference(cnf_transformation,[],[f15]) ).

fof(f837,plain,
    op2(e21,e21) = h2(e10),
    inference(cnf_transformation,[],[f15]) ).

fof(f838,plain,
    e21 = h2(e11),
    inference(cnf_transformation,[],[f15]) ).

fof(f842,plain,
    e22 = h3(e11),
    inference(cnf_transformation,[],[f16]) ).

fof(f846,plain,
    e23 = h4(e11),
    inference(cnf_transformation,[],[f17]) ).

fof(f858,plain,
    ( e20 != h2(e10)
    | ~ sP133 ),
    inference(cnf_transformation,[],[f20]) ).

fof(f861,plain,
    ( e21 != h2(e11)
    | ~ sP132 ),
    inference(cnf_transformation,[],[f20]) ).

fof(f908,plain,
    ( e23 != h2(e13)
    | e22 != h2(e12)
    | sP132
    | sP133
    | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
    | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
    | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
    | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
    | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
    | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
    | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
    | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
    | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
    | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
    | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
    | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
    | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
    | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
    | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
    | h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f943,plain,
    ( e13 = op1(e13,e13)
    | ~ sP0
    | sP1
    | sP2
    | ~ sP3
    | ~ sP4
    | ~ sP5
    | ~ sP6
    | sP7
    | sP8
    | ~ sP9
    | sP10
    | sP11
    | ~ sP12
    | ~ sP13
    | sP14
    | sP15
    | sP16
    | sP17
    | ~ sP18
    | ~ sP19
    | ~ sP20
    | sP21
    | ~ sP22
    | sP23
    | ~ sP24
    | sP25
    | ~ sP26
    | sP27
    | ~ sP28
    | ~ sP29
    | ~ sP30
    | sP31
    | sP32
    | sP33
    | ~ sP34
    | ~ sP35
    | ~ sP36
    | ~ sP37
    | ~ sP38
    | sP39
    | ~ sP40
    | sP41
    | ~ sP42
    | sP43
    | ~ sP44
    | sP45
    | sP46
    | ~ sP47
    | ~ sP48
    | ~ sP49
    | ~ sP50
    | sP51
    | sP52
    | sP53
    | sP54
    | ~ sP55
    | ~ sP56
    | ~ sP57
    | sP58
    | sP59
    | ~ sP60
    | sP61 ),
    inference(consistent_polarity_flipping,[],[f528]) ).

fof(f945,plain,
    ( e13 = op1(e13,e13)
    | e13 = op1(e12,e13)
    | ~ sP0
    | sP1
    | sP2
    | ~ sP3
    | ~ sP4
    | ~ sP5
    | ~ sP6
    | sP7
    | sP8
    | ~ sP9
    | sP10
    | sP11
    | ~ sP12
    | ~ sP13
    | sP14
    | sP15
    | sP16
    | sP17
    | ~ sP18
    | ~ sP19
    | ~ sP20
    | sP21
    | ~ sP22
    | sP23
    | ~ sP24
    | sP25
    | ~ sP26
    | sP27
    | ~ sP28
    | ~ sP29
    | ~ sP30
    | sP31
    | sP32
    | sP33
    | ~ sP34
    | ~ sP35
    | ~ sP36
    | ~ sP37
    | ~ sP38
    | sP39
    | ~ sP40
    | sP41
    | ~ sP42
    | sP43
    | ~ sP44
    | sP45
    | sP46
    | ~ sP47
    | ~ sP48
    | ~ sP49
    | ~ sP50
    | sP51
    | sP52
    | sP53
    | sP54
    | ~ sP55
    | ~ sP56
    | ~ sP57
    | sP58
    | sP59
    | ~ sP60
    | sP61 ),
    inference(consistent_polarity_flipping,[],[f526]) ).

fof(f968,plain,
    ( e11 != op1(e13,op1(e13,e11))
    | e11 != op1(e12,op1(e12,e11))
    | ~ sP62
    | sP63 ),
    inference(consistent_polarity_flipping,[],[f503]) ).

fof(f970,plain,
    ( e11 != op1(e13,op1(e13,e11))
    | e13 != op1(e12,op1(e12,e13))
    | ~ sP62
    | sP63 ),
    inference(consistent_polarity_flipping,[],[f501]) ).

fof(f978,plain,
    ( e13 = op1(e13,e11)
    | sP0 ),
    inference(consistent_polarity_flipping,[],[f493]) ).

fof(f979,plain,
    ( e13 = op1(e13,e12)
    | sP3 ),
    inference(consistent_polarity_flipping,[],[f484]) ).

fof(f980,plain,
    ( e13 = op1(e12,e13)
    | sP3 ),
    inference(consistent_polarity_flipping,[],[f483]) ).

fof(f981,plain,
    ( e12 = op1(e12,e12)
    | sP3 ),
    inference(consistent_polarity_flipping,[],[f482]) ).

fof(f984,plain,
    ( e13 = op1(e12,e13)
    | sP4 ),
    inference(consistent_polarity_flipping,[],[f479]) ).

fof(f985,plain,
    ( e12 = op1(e11,e12)
    | sP4 ),
    inference(consistent_polarity_flipping,[],[f478]) ).

fof(f987,plain,
    ( e13 = op1(e13,e12)
    | sP5 ),
    inference(consistent_polarity_flipping,[],[f476]) ).

fof(f988,plain,
    ( e13 = op1(e12,e13)
    | sP5 ),
    inference(consistent_polarity_flipping,[],[f475]) ).

fof(f989,plain,
    ( e12 = op1(e10,e12)
    | sP5 ),
    inference(consistent_polarity_flipping,[],[f474]) ).

fof(f991,plain,
    ( e13 = op1(e13,e11)
    | sP6 ),
    inference(consistent_polarity_flipping,[],[f472]) ).

fof(f997,plain,
    ( e11 = op1(e10,e11)
    | sP9 ),
    inference(consistent_polarity_flipping,[],[f458]) ).

fof(f1002,plain,
    ( e10 = op1(e10,e11)
    | sP12 ),
    inference(consistent_polarity_flipping,[],[f445]) ).

fof(f1005,plain,
    ( e10 = op1(e10,e10)
    | sP13 ),
    inference(consistent_polarity_flipping,[],[f442]) ).

fof(f1007,plain,
    ( e12 = op1(e12,e12)
    | sP18 ),
    inference(consistent_polarity_flipping,[],[f424]) ).

fof(f1009,plain,
    ( e12 = op1(e13,e12)
    | sP18 ),
    inference(consistent_polarity_flipping,[],[f422]) ).

fof(f1010,plain,
    ( e12 = op1(e12,e13)
    | sP18 ),
    inference(consistent_polarity_flipping,[],[f421]) ).

fof(f1011,plain,
    ( e12 = op1(e12,e12)
    | sP19 ),
    inference(consistent_polarity_flipping,[],[f420]) ).

fof(f1015,plain,
    ( e12 = op1(e12,e12)
    | sP20 ),
    inference(consistent_polarity_flipping,[],[f416]) ).

fof(f1017,plain,
    ( e12 = op1(e11,e12)
    | sP20 ),
    inference(consistent_polarity_flipping,[],[f414]) ).

fof(f1020,plain,
    ( e12 = op1(e11,e12)
    | sP22 ),
    inference(consistent_polarity_flipping,[],[f407]) ).

fof(f1022,plain,
    ( e11 = op1(e11,e13)
    | sP22 ),
    inference(consistent_polarity_flipping,[],[f405]) ).

fof(f1025,plain,
    ( e11 = op1(e11,e11)
    | sP24 ),
    inference(consistent_polarity_flipping,[],[f398]) ).

fof(f1027,plain,
    ( e12 = op1(e12,e10)
    | sP26 ),
    inference(consistent_polarity_flipping,[],[f392]) ).

fof(f1028,plain,
    ( e12 = op1(e10,e12)
    | sP26 ),
    inference(consistent_polarity_flipping,[],[f391]) ).

fof(f1029,plain,
    ( e10 = op1(e13,e10)
    | sP26 ),
    inference(consistent_polarity_flipping,[],[f390]) ).

fof(f1034,plain,
    ( e10 = op1(e10,e11)
    | sP28 ),
    inference(consistent_polarity_flipping,[],[f381]) ).

fof(f1037,plain,
    ( e10 = op1(e10,e10)
    | sP29 ),
    inference(consistent_polarity_flipping,[],[f378]) ).

fof(f1041,plain,
    ( e13 = op1(e13,e13)
    | sP30 ),
    inference(consistent_polarity_flipping,[],[f374]) ).

fof(f1044,plain,
    ( e11 = op1(e12,e11)
    | sP34 ),
    inference(consistent_polarity_flipping,[],[f359]) ).

fof(f1048,plain,
    ( e11 = op1(e12,e11)
    | sP35 ),
    inference(consistent_polarity_flipping,[],[f355]) ).

fof(f1052,plain,
    ( e11 = op1(e12,e11)
    | sP36 ),
    inference(consistent_polarity_flipping,[],[f351]) ).

fof(f1056,plain,
    ( e11 = op1(e12,e11)
    | sP37 ),
    inference(consistent_polarity_flipping,[],[f347]) ).

fof(f1059,plain,
    ( e11 = op1(e11,e11)
    | sP38 ),
    inference(consistent_polarity_flipping,[],[f344]) ).

fof(f1063,plain,
    ( e11 = op1(e11,e11)
    | sP40 ),
    inference(consistent_polarity_flipping,[],[f336]) ).

fof(f1068,plain,
    ( e11 = op1(e10,e11)
    | sP42 ),
    inference(consistent_polarity_flipping,[],[f327]) ).

fof(f1072,plain,
    ( e11 = op1(e10,e11)
    | sP44 ),
    inference(consistent_polarity_flipping,[],[f319]) ).

fof(f1076,plain,
    ( e10 = op1(e13,e10)
    | sP47 ),
    inference(consistent_polarity_flipping,[],[f307]) ).

fof(f1077,plain,
    ( e13 = op1(e12,e13)
    | sP47 ),
    inference(consistent_polarity_flipping,[],[f306]) ).

fof(f1078,plain,
    ( e13 = op1(e13,e12)
    | sP47 ),
    inference(consistent_polarity_flipping,[],[f305]) ).

fof(f1082,plain,
    ( e13 = op1(e13,e11)
    | sP48 ),
    inference(consistent_polarity_flipping,[],[f301]) ).

fof(f1084,plain,
    ( e10 = op1(e13,e10)
    | sP49 ),
    inference(consistent_polarity_flipping,[],[f299]) ).

fof(f1085,plain,
    ( e13 = op1(e10,e13)
    | sP49 ),
    inference(consistent_polarity_flipping,[],[f298]) ).

fof(f1086,plain,
    ( e13 = op1(e13,e10)
    | sP49 ),
    inference(consistent_polarity_flipping,[],[f297]) ).

fof(f1087,plain,
    ( e10 = op1(e10,e12)
    | sP50 ),
    inference(consistent_polarity_flipping,[],[f296]) ).

fof(f1088,plain,
    ( e10 = op1(e12,e10)
    | sP50 ),
    inference(consistent_polarity_flipping,[],[f295]) ).

fof(f1090,plain,
    ( e12 = op1(e12,e13)
    | sP50 ),
    inference(consistent_polarity_flipping,[],[f293]) ).

fof(f1091,plain,
    ( e10 = op1(e10,e11)
    | sP55 ),
    inference(consistent_polarity_flipping,[],[f276]) ).

fof(f1095,plain,
    ( e10 = op1(e10,e11)
    | sP56 ),
    inference(consistent_polarity_flipping,[],[f272]) ).

fof(f1099,plain,
    ( e10 = op1(e10,e11)
    | sP57 ),
    inference(consistent_polarity_flipping,[],[f268]) ).

fof(f1106,plain,
    ( e10 = op1(e10,e11)
    | sP60 ),
    inference(consistent_polarity_flipping,[],[f253]) ).

fof(f1109,plain,
    ( e12 != op1(e11,op1(e11,e12))
    | sP62 ),
    inference(consistent_polarity_flipping,[],[f246]) ).

fof(f1110,plain,
    ( e13 != op1(e11,op1(e11,e13))
    | sP62 ),
    inference(consistent_polarity_flipping,[],[f245]) ).

fof(f1138,plain,
    ( e21 != op2(e23,op2(e23,e21))
    | e23 != op2(e22,op2(e22,e23))
    | sP126
    | ~ sP127 ),
    inference(consistent_polarity_flipping,[],[f793]) ).

fof(f1263,plain,
    ( e20 != op2(e20,op2(e20,e20))
    | sP127 ),
    inference(consistent_polarity_flipping,[],[f536]) ).

fof(f1301,plain,
    ( e23 != h2(e13)
    | e22 != h2(e12)
    | ~ sP132
    | ~ sP133
    | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
    | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
    | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
    | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
    | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
    | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
    | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
    | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
    | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
    | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
    | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
    | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
    | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
    | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
    | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
    | h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
    inference(consistent_polarity_flipping,[],[f908]) ).

fof(f1344,plain,
    ( e21 != h2(e11)
    | sP132 ),
    inference(consistent_polarity_flipping,[],[f861]) ).

fof(f1347,plain,
    ( e20 != h2(e10)
    | sP133 ),
    inference(consistent_polarity_flipping,[],[f858]) ).

fof(f1404,definition,
    ( spl136_11
  <=> sP133 ),
    introduced(definition,[new_symbols(definition,[spl136_11])],[avatar_definition]) ).

fof(f1418,definition,
    ( spl136_14
  <=> e20 = h2(e11) ),
    introduced(definition,[new_symbols(definition,[spl136_14])],[avatar_definition]) ).

fof(f1419,plain,
    ( e20 = h2(e11)
    | ~ spl136_14 ),
    inference(avatar_component_clause,[],[f1418]) ).

fof(f1420,plain,
    ( e20 != h2(e11)
    | spl136_14 ),
    inference(avatar_component_clause,[],[f1418]) ).

fof(f1423,definition,
    ( spl136_15
  <=> e20 = h2(e10) ),
    introduced(definition,[new_symbols(definition,[spl136_15])],[avatar_definition]) ).

fof(f1424,plain,
    ( e20 = h2(e10)
    | ~ spl136_15 ),
    inference(avatar_component_clause,[],[f1423]) ).

fof(f1426,plain,
    ( spl136_11
    | ~ spl136_15 ),
    inference(avatar_split_clause,[],[f1347,f1423,f1404]) ).

fof(f1428,definition,
    ( spl136_16
  <=> sP132 ),
    introduced(definition,[new_symbols(definition,[spl136_16])],[avatar_definition]) ).

fof(f1442,definition,
    ( spl136_19
  <=> e21 = h2(e11) ),
    introduced(definition,[new_symbols(definition,[spl136_19])],[avatar_definition]) ).

fof(f1443,plain,
    ( e21 = h2(e11)
    | ~ spl136_19 ),
    inference(avatar_component_clause,[],[f1442]) ).

fof(f1445,plain,
    ( spl136_16
    | ~ spl136_19 ),
    inference(avatar_split_clause,[],[f1344,f1442,f1428]) ).

fof(f1466,definition,
    ( spl136_24
  <=> e20 = h3(e11) ),
    introduced(definition,[new_symbols(definition,[spl136_24])],[avatar_definition]) ).

fof(f1467,plain,
    ( e20 = h3(e11)
    | ~ spl136_24 ),
    inference(avatar_component_clause,[],[f1466]) ).

fof(f1468,plain,
    ( e20 != h3(e11)
    | spl136_24 ),
    inference(avatar_component_clause,[],[f1466]) ).

fof(f1490,definition,
    ( spl136_29
  <=> e21 = h3(e11) ),
    introduced(definition,[new_symbols(definition,[spl136_29])],[avatar_definition]) ).

fof(f1491,plain,
    ( e21 = h3(e11)
    | ~ spl136_29 ),
    inference(avatar_component_clause,[],[f1490]) ).

fof(f1492,plain,
    ( e21 != h3(e11)
    | spl136_29 ),
    inference(avatar_component_clause,[],[f1490]) ).

fof(f1514,definition,
    ( spl136_34
  <=> e20 = h4(e11) ),
    introduced(definition,[new_symbols(definition,[spl136_34])],[avatar_definition]) ).

fof(f1515,plain,
    ( e20 = h4(e11)
    | ~ spl136_34 ),
    inference(avatar_component_clause,[],[f1514]) ).

fof(f1516,plain,
    ( e20 != h4(e11)
    | spl136_34 ),
    inference(avatar_component_clause,[],[f1514]) ).

fof(f1660,definition,
    ( spl136_65
  <=> h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) ),
    introduced(definition,[new_symbols(definition,[spl136_65])],[avatar_definition]) ).

fof(f1662,plain,
    ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
    | spl136_65 ),
    inference(avatar_component_clause,[],[f1660]) ).

fof(f1664,definition,
    ( spl136_66
  <=> h2(op1(e10,e11)) = op2(h2(e10),h2(e11)) ),
    introduced(definition,[new_symbols(definition,[spl136_66])],[avatar_definition]) ).

fof(f1666,plain,
    ( h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
    | spl136_66 ),
    inference(avatar_component_clause,[],[f1664]) ).

fof(f1668,definition,
    ( spl136_67
  <=> h2(op1(e10,e12)) = op2(h2(e10),h2(e12)) ),
    introduced(definition,[new_symbols(definition,[spl136_67])],[avatar_definition]) ).

fof(f1670,plain,
    ( h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
    | spl136_67 ),
    inference(avatar_component_clause,[],[f1668]) ).

fof(f1672,definition,
    ( spl136_68
  <=> h2(op1(e10,e13)) = op2(h2(e10),h2(e13)) ),
    introduced(definition,[new_symbols(definition,[spl136_68])],[avatar_definition]) ).

fof(f1674,plain,
    ( h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
    | spl136_68 ),
    inference(avatar_component_clause,[],[f1672]) ).

fof(f1676,definition,
    ( spl136_69
  <=> h2(op1(e11,e10)) = op2(h2(e11),h2(e10)) ),
    introduced(definition,[new_symbols(definition,[spl136_69])],[avatar_definition]) ).

fof(f1678,plain,
    ( h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
    | spl136_69 ),
    inference(avatar_component_clause,[],[f1676]) ).

fof(f1680,definition,
    ( spl136_70
  <=> h2(op1(e11,e11)) = op2(h2(e11),h2(e11)) ),
    introduced(definition,[new_symbols(definition,[spl136_70])],[avatar_definition]) ).

fof(f1682,plain,
    ( h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
    | spl136_70 ),
    inference(avatar_component_clause,[],[f1680]) ).

fof(f1684,definition,
    ( spl136_71
  <=> h2(op1(e11,e12)) = op2(h2(e11),h2(e12)) ),
    introduced(definition,[new_symbols(definition,[spl136_71])],[avatar_definition]) ).

fof(f1686,plain,
    ( h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
    | spl136_71 ),
    inference(avatar_component_clause,[],[f1684]) ).

fof(f1688,definition,
    ( spl136_72
  <=> h2(op1(e11,e13)) = op2(h2(e11),h2(e13)) ),
    introduced(definition,[new_symbols(definition,[spl136_72])],[avatar_definition]) ).

fof(f1690,plain,
    ( h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
    | spl136_72 ),
    inference(avatar_component_clause,[],[f1688]) ).

fof(f1692,definition,
    ( spl136_73
  <=> h2(op1(e12,e10)) = op2(h2(e12),h2(e10)) ),
    introduced(definition,[new_symbols(definition,[spl136_73])],[avatar_definition]) ).

fof(f1694,plain,
    ( h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
    | spl136_73 ),
    inference(avatar_component_clause,[],[f1692]) ).

fof(f1696,definition,
    ( spl136_74
  <=> h2(op1(e12,e11)) = op2(h2(e12),h2(e11)) ),
    introduced(definition,[new_symbols(definition,[spl136_74])],[avatar_definition]) ).

fof(f1698,plain,
    ( h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
    | spl136_74 ),
    inference(avatar_component_clause,[],[f1696]) ).

fof(f1700,definition,
    ( spl136_75
  <=> h2(op1(e12,e12)) = op2(h2(e12),h2(e12)) ),
    introduced(definition,[new_symbols(definition,[spl136_75])],[avatar_definition]) ).

fof(f1702,plain,
    ( h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
    | spl136_75 ),
    inference(avatar_component_clause,[],[f1700]) ).

fof(f1704,definition,
    ( spl136_76
  <=> h2(op1(e12,e13)) = op2(h2(e12),h2(e13)) ),
    introduced(definition,[new_symbols(definition,[spl136_76])],[avatar_definition]) ).

fof(f1706,plain,
    ( h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
    | spl136_76 ),
    inference(avatar_component_clause,[],[f1704]) ).

fof(f1708,definition,
    ( spl136_77
  <=> h2(op1(e13,e10)) = op2(h2(e13),h2(e10)) ),
    introduced(definition,[new_symbols(definition,[spl136_77])],[avatar_definition]) ).

fof(f1710,plain,
    ( h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
    | spl136_77 ),
    inference(avatar_component_clause,[],[f1708]) ).

fof(f1712,definition,
    ( spl136_78
  <=> h2(op1(e13,e11)) = op2(h2(e13),h2(e11)) ),
    introduced(definition,[new_symbols(definition,[spl136_78])],[avatar_definition]) ).

fof(f1714,plain,
    ( h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
    | spl136_78 ),
    inference(avatar_component_clause,[],[f1712]) ).

fof(f1716,definition,
    ( spl136_79
  <=> h2(op1(e13,e12)) = op2(h2(e13),h2(e12)) ),
    introduced(definition,[new_symbols(definition,[spl136_79])],[avatar_definition]) ).

fof(f1718,plain,
    ( h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
    | spl136_79 ),
    inference(avatar_component_clause,[],[f1716]) ).

fof(f1720,definition,
    ( spl136_80
  <=> h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) ),
    introduced(definition,[new_symbols(definition,[spl136_80])],[avatar_definition]) ).

fof(f1722,plain,
    ( h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
    | spl136_80 ),
    inference(avatar_component_clause,[],[f1720]) ).

fof(f1733,definition,
    ( spl136_83
  <=> e22 = h2(e12) ),
    introduced(definition,[new_symbols(definition,[spl136_83])],[avatar_definition]) ).

fof(f1734,plain,
    ( e22 = h2(e12)
    | ~ spl136_83 ),
    inference(avatar_component_clause,[],[f1733]) ).

fof(f1764,definition,
    ( spl136_88
  <=> e23 = h2(e13) ),
    introduced(definition,[new_symbols(definition,[spl136_88])],[avatar_definition]) ).

fof(f1765,plain,
    ( e23 = h2(e13)
    | ~ spl136_88 ),
    inference(avatar_component_clause,[],[f1764]) ).

fof(f1768,plain,
    ( ~ spl136_65
    | ~ spl136_66
    | ~ spl136_67
    | ~ spl136_68
    | ~ spl136_69
    | ~ spl136_70
    | ~ spl136_71
    | ~ spl136_72
    | ~ spl136_73
    | ~ spl136_74
    | ~ spl136_75
    | ~ spl136_76
    | ~ spl136_77
    | ~ spl136_78
    | ~ spl136_79
    | ~ spl136_80
    | ~ spl136_11
    | ~ spl136_16
    | ~ spl136_83
    | ~ spl136_88 ),
    inference(avatar_split_clause,[],[f1301,f1764,f1733,f1428,f1404,f1720,f1716,f1712,f1708,f1704,f1700,f1696,f1692,f1688,f1684,f1680,f1676,f1672,f1668,f1664,f1660]) ).

fof(f1850,definition,
    ( spl136_108
  <=> e22 = h3(e11) ),
    introduced(definition,[new_symbols(definition,[spl136_108])],[avatar_definition]) ).

fof(f1851,plain,
    ( e22 = h3(e11)
    | ~ spl136_108 ),
    inference(avatar_component_clause,[],[f1850]) ).

fof(f1972,definition,
    ( spl136_134
  <=> e23 = h4(e11) ),
    introduced(definition,[new_symbols(definition,[spl136_134])],[avatar_definition]) ).

fof(f1973,plain,
    ( e23 = h4(e11)
    | ~ spl136_134 ),
    inference(avatar_component_clause,[],[f1972]) ).

fof(f1995,plain,
    spl136_134,
    inference(avatar_split_clause,[],[f846,f1972]) ).

fof(f1996,plain,
    spl136_108,
    inference(avatar_split_clause,[],[f842,f1850]) ).

fof(f1997,plain,
    spl136_19,
    inference(avatar_split_clause,[],[f838,f1442]) ).

fof(f2000,definition,
    ( spl136_137
  <=> sP127 ),
    introduced(definition,[new_symbols(definition,[spl136_137])],[avatar_definition]) ).

fof(f2019,definition,
    ( spl136_141
  <=> e20 = op2(e20,op2(e20,e20)) ),
    introduced(definition,[new_symbols(definition,[spl136_141])],[avatar_definition]) ).

fof(f2021,plain,
    ( e20 != op2(e20,op2(e20,e20))
    | spl136_141 ),
    inference(avatar_component_clause,[],[f2019]) ).

fof(f2022,plain,
    ( spl136_137
    | ~ spl136_141 ),
    inference(avatar_split_clause,[],[f1263,f2019,f2000]) ).

fof(f2024,definition,
    ( spl136_142
  <=> sP126 ),
    introduced(definition,[new_symbols(definition,[spl136_142])],[avatar_definition]) ).

fof(f2033,definition,
    ( spl136_144
  <=> e22 = op2(e21,op2(e21,e22)) ),
    introduced(definition,[new_symbols(definition,[spl136_144])],[avatar_definition]) ).

fof(f2035,plain,
    ( e22 != op2(e21,op2(e21,e22))
    | spl136_144 ),
    inference(avatar_component_clause,[],[f2033]) ).

fof(f2036,plain,
    ( ~ spl136_142
    | ~ spl136_144 ),
    inference(avatar_split_clause,[],[f538,f2033,f2024]) ).

fof(f2052,definition,
    ( spl136_148
  <=> e20 = op2(e20,e20) ),
    introduced(definition,[new_symbols(definition,[spl136_148])],[avatar_definition]) ).

fof(f2054,plain,
    ( e20 = op2(e20,e20)
    | ~ spl136_148 ),
    inference(avatar_component_clause,[],[f2052]) ).

fof(f2064,definition,
    ( spl136_150
  <=> e20 = op2(e20,e21) ),
    introduced(definition,[new_symbols(definition,[spl136_150])],[avatar_definition]) ).

fof(f2066,plain,
    ( e20 = op2(e20,e21)
    | ~ spl136_150 ),
    inference(avatar_component_clause,[],[f2064]) ).

fof(f2069,definition,
    ( spl136_151
  <=> e20 = op2(e21,e20) ),
    introduced(definition,[new_symbols(definition,[spl136_151])],[avatar_definition]) ).

fof(f2071,plain,
    ( e20 = op2(e21,e20)
    | ~ spl136_151 ),
    inference(avatar_component_clause,[],[f2069]) ).

fof(f2080,definition,
    ( spl136_153
  <=> e20 = op2(e20,e22) ),
    introduced(definition,[new_symbols(definition,[spl136_153])],[avatar_definition]) ).

fof(f2082,plain,
    ( e20 = op2(e20,e22)
    | ~ spl136_153 ),
    inference(avatar_component_clause,[],[f2080]) ).

fof(f2085,definition,
    ( spl136_154
  <=> e20 = op2(e22,e20) ),
    introduced(definition,[new_symbols(definition,[spl136_154])],[avatar_definition]) ).

fof(f2087,plain,
    ( e20 = op2(e22,e20)
    | ~ spl136_154 ),
    inference(avatar_component_clause,[],[f2085]) ).

fof(f2096,definition,
    ( spl136_156
  <=> e20 = op2(e20,e23) ),
    introduced(definition,[new_symbols(definition,[spl136_156])],[avatar_definition]) ).

fof(f2098,plain,
    ( e20 = op2(e20,e23)
    | ~ spl136_156 ),
    inference(avatar_component_clause,[],[f2096]) ).

fof(f2101,definition,
    ( spl136_157
  <=> e20 = op2(e23,e20) ),
    introduced(definition,[new_symbols(definition,[spl136_157])],[avatar_definition]) ).

fof(f2103,plain,
    ( e20 = op2(e23,e20)
    | ~ spl136_157 ),
    inference(avatar_component_clause,[],[f2101]) ).

fof(f2112,definition,
    ( spl136_159
  <=> e21 = op2(e21,e20) ),
    introduced(definition,[new_symbols(definition,[spl136_159])],[avatar_definition]) ).

fof(f2114,plain,
    ( e21 = op2(e21,e20)
    | ~ spl136_159 ),
    inference(avatar_component_clause,[],[f2112]) ).

fof(f2117,definition,
    ( spl136_160
  <=> e21 = op2(e20,e21) ),
    introduced(definition,[new_symbols(definition,[spl136_160])],[avatar_definition]) ).

fof(f2118,plain,
    ( e21 != op2(e20,e21)
    | spl136_160 ),
    inference(avatar_component_clause,[],[f2117]) ).

fof(f2119,plain,
    ( e21 = op2(e20,e21)
    | ~ spl136_160 ),
    inference(avatar_component_clause,[],[f2117]) ).

fof(f2128,definition,
    ( spl136_162
  <=> e21 = op2(e21,e21) ),
    introduced(definition,[new_symbols(definition,[spl136_162])],[avatar_definition]) ).

fof(f2130,plain,
    ( e21 = op2(e21,e21)
    | ~ spl136_162 ),
    inference(avatar_component_clause,[],[f2128]) ).

fof(f2140,definition,
    ( spl136_164
  <=> e21 = op2(e21,e22) ),
    introduced(definition,[new_symbols(definition,[spl136_164])],[avatar_definition]) ).

fof(f2142,plain,
    ( e21 = op2(e21,e22)
    | ~ spl136_164 ),
    inference(avatar_component_clause,[],[f2140]) ).

fof(f2145,definition,
    ( spl136_165
  <=> e21 = op2(e22,e21) ),
    introduced(definition,[new_symbols(definition,[spl136_165])],[avatar_definition]) ).

fof(f2147,plain,
    ( e21 = op2(e22,e21)
    | ~ spl136_165 ),
    inference(avatar_component_clause,[],[f2145]) ).

fof(f2156,definition,
    ( spl136_167
  <=> e21 = op2(e21,e23) ),
    introduced(definition,[new_symbols(definition,[spl136_167])],[avatar_definition]) ).

fof(f2158,plain,
    ( e21 = op2(e21,e23)
    | ~ spl136_167 ),
    inference(avatar_component_clause,[],[f2156]) ).

fof(f2161,definition,
    ( spl136_168
  <=> e21 = op2(e23,e21) ),
    introduced(definition,[new_symbols(definition,[spl136_168])],[avatar_definition]) ).

fof(f2163,plain,
    ( e21 = op2(e23,e21)
    | ~ spl136_168 ),
    inference(avatar_component_clause,[],[f2161]) ).

fof(f2172,definition,
    ( spl136_170
  <=> e22 = op2(e22,e20) ),
    introduced(definition,[new_symbols(definition,[spl136_170])],[avatar_definition]) ).

fof(f2177,definition,
    ( spl136_171
  <=> e22 = op2(e20,e22) ),
    introduced(definition,[new_symbols(definition,[spl136_171])],[avatar_definition]) ).

fof(f2179,plain,
    ( e22 = op2(e20,e22)
    | ~ spl136_171 ),
    inference(avatar_component_clause,[],[f2177]) ).

fof(f2188,definition,
    ( spl136_173
  <=> e22 = op2(e22,e21) ),
    introduced(definition,[new_symbols(definition,[spl136_173])],[avatar_definition]) ).

fof(f2190,plain,
    ( e22 = op2(e22,e21)
    | ~ spl136_173 ),
    inference(avatar_component_clause,[],[f2188]) ).

fof(f2193,definition,
    ( spl136_174
  <=> e22 = op2(e21,e22) ),
    introduced(definition,[new_symbols(definition,[spl136_174])],[avatar_definition]) ).

fof(f2195,plain,
    ( e22 = op2(e21,e22)
    | ~ spl136_174 ),
    inference(avatar_component_clause,[],[f2193]) ).

fof(f2204,definition,
    ( spl136_176
  <=> e22 = op2(e22,e22) ),
    introduced(definition,[new_symbols(definition,[spl136_176])],[avatar_definition]) ).

fof(f2216,definition,
    ( spl136_178
  <=> e22 = op2(e22,e23) ),
    introduced(definition,[new_symbols(definition,[spl136_178])],[avatar_definition]) ).

fof(f2218,plain,
    ( e22 = op2(e22,e23)
    | ~ spl136_178 ),
    inference(avatar_component_clause,[],[f2216]) ).

fof(f2221,definition,
    ( spl136_179
  <=> e22 = op2(e23,e22) ),
    introduced(definition,[new_symbols(definition,[spl136_179])],[avatar_definition]) ).

fof(f2223,plain,
    ( e22 = op2(e23,e22)
    | ~ spl136_179 ),
    inference(avatar_component_clause,[],[f2221]) ).

fof(f2232,definition,
    ( spl136_181
  <=> e23 = op2(e23,e20) ),
    introduced(definition,[new_symbols(definition,[spl136_181])],[avatar_definition]) ).

fof(f2234,plain,
    ( e23 = op2(e23,e20)
    | ~ spl136_181 ),
    inference(avatar_component_clause,[],[f2232]) ).

fof(f2237,definition,
    ( spl136_182
  <=> e23 = op2(e20,e23) ),
    introduced(definition,[new_symbols(definition,[spl136_182])],[avatar_definition]) ).

fof(f2239,plain,
    ( e23 = op2(e20,e23)
    | ~ spl136_182 ),
    inference(avatar_component_clause,[],[f2237]) ).

fof(f2248,definition,
    ( spl136_184
  <=> e23 = op2(e23,e21) ),
    introduced(definition,[new_symbols(definition,[spl136_184])],[avatar_definition]) ).

fof(f2250,plain,
    ( e23 = op2(e23,e21)
    | ~ spl136_184 ),
    inference(avatar_component_clause,[],[f2248]) ).

fof(f2253,definition,
    ( spl136_185
  <=> e23 = op2(e21,e23) ),
    introduced(definition,[new_symbols(definition,[spl136_185])],[avatar_definition]) ).

fof(f2255,plain,
    ( e23 = op2(e21,e23)
    | ~ spl136_185 ),
    inference(avatar_component_clause,[],[f2253]) ).

fof(f2264,definition,
    ( spl136_187
  <=> e23 = op2(e23,e22) ),
    introduced(definition,[new_symbols(definition,[spl136_187])],[avatar_definition]) ).

fof(f2266,plain,
    ( e23 = op2(e23,e22)
    | ~ spl136_187 ),
    inference(avatar_component_clause,[],[f2264]) ).

fof(f2269,definition,
    ( spl136_188
  <=> e23 = op2(e22,e23) ),
    introduced(definition,[new_symbols(definition,[spl136_188])],[avatar_definition]) ).

fof(f2271,plain,
    ( e23 = op2(e22,e23)
    | ~ spl136_188 ),
    inference(avatar_component_clause,[],[f2269]) ).

fof(f2280,definition,
    ( spl136_190
  <=> e23 = op2(e23,e23) ),
    introduced(definition,[new_symbols(definition,[spl136_190])],[avatar_definition]) ).

fof(f2282,plain,
    ( e23 = op2(e23,e23)
    | ~ spl136_190 ),
    inference(avatar_component_clause,[],[f2280]) ).

fof(f2656,definition,
    ( spl136_237
  <=> e23 = op2(e22,op2(e22,e23)) ),
    introduced(definition,[new_symbols(definition,[spl136_237])],[avatar_definition]) ).

fof(f2658,plain,
    ( e23 != op2(e22,op2(e22,e23))
    | spl136_237 ),
    inference(avatar_component_clause,[],[f2656]) ).

fof(f2680,definition,
    ( spl136_242
  <=> e21 = op2(e23,op2(e23,e21)) ),
    introduced(definition,[new_symbols(definition,[spl136_242])],[avatar_definition]) ).

fof(f2682,plain,
    ( e21 != op2(e23,op2(e23,e21))
    | spl136_242 ),
    inference(avatar_component_clause,[],[f2680]) ).

fof(f2683,plain,
    ( ~ spl136_137
    | spl136_142
    | ~ spl136_237
    | ~ spl136_242 ),
    inference(avatar_split_clause,[],[f1138,f2680,f2656,f2024,f2000]) ).

fof(f2719,plain,
    ( spl136_148
    | spl136_159
    | spl136_170
    | spl136_181 ),
    inference(avatar_split_clause,[],[f821,f2232,f2172,f2112,f2052]) ).

fof(f2720,plain,
    ( spl136_150
    | spl136_162
    | spl136_173
    | spl136_184 ),
    inference(avatar_split_clause,[],[f822,f2248,f2188,f2128,f2064]) ).

fof(f2721,plain,
    ( spl136_153
    | spl136_164
    | spl136_176
    | spl136_187 ),
    inference(avatar_split_clause,[],[f823,f2264,f2204,f2140,f2080]) ).

fof(f2722,plain,
    ( spl136_156
    | spl136_167
    | spl136_178
    | spl136_190 ),
    inference(avatar_split_clause,[],[f824,f2280,f2216,f2156,f2096]) ).

fof(f2724,definition,
    ( spl136_245
  <=> sP63 ),
    introduced(definition,[new_symbols(definition,[spl136_245])],[avatar_definition]) ).

fof(f2728,definition,
    ( spl136_246
  <=> e13 = op1(e10,op1(e10,e13)) ),
    introduced(definition,[new_symbols(definition,[spl136_246])],[avatar_definition]) ).

fof(f2730,plain,
    ( e13 != op1(e10,op1(e10,e13))
    | spl136_246 ),
    inference(avatar_component_clause,[],[f2728]) ).

fof(f2731,plain,
    ( ~ spl136_245
    | ~ spl136_246 ),
    inference(avatar_split_clause,[],[f241,f2728,f2724]) ).

fof(f2733,definition,
    ( spl136_247
  <=> e12 = op1(e10,op1(e10,e12)) ),
    introduced(definition,[new_symbols(definition,[spl136_247])],[avatar_definition]) ).

fof(f2735,plain,
    ( e12 != op1(e10,op1(e10,e12))
    | spl136_247 ),
    inference(avatar_component_clause,[],[f2733]) ).

fof(f2736,plain,
    ( ~ spl136_245
    | ~ spl136_247 ),
    inference(avatar_split_clause,[],[f242,f2733,f2724]) ).

fof(f2743,definition,
    ( spl136_249
  <=> e10 = op1(e10,op1(e10,e10)) ),
    introduced(definition,[new_symbols(definition,[spl136_249])],[avatar_definition]) ).

fof(f2745,plain,
    ( e10 != op1(e10,op1(e10,e10))
    | spl136_249 ),
    inference(avatar_component_clause,[],[f2743]) ).

fof(f2746,plain,
    ( ~ spl136_245
    | ~ spl136_249 ),
    inference(avatar_split_clause,[],[f244,f2743,f2724]) ).

fof(f2748,definition,
    ( spl136_250
  <=> sP62 ),
    introduced(definition,[new_symbols(definition,[spl136_250])],[avatar_definition]) ).

fof(f2752,definition,
    ( spl136_251
  <=> e13 = op1(e11,op1(e11,e13)) ),
    introduced(definition,[new_symbols(definition,[spl136_251])],[avatar_definition]) ).

fof(f2754,plain,
    ( e13 != op1(e11,op1(e11,e13))
    | spl136_251 ),
    inference(avatar_component_clause,[],[f2752]) ).

fof(f2755,plain,
    ( spl136_250
    | ~ spl136_251 ),
    inference(avatar_split_clause,[],[f1110,f2752,f2748]) ).

fof(f2757,definition,
    ( spl136_252
  <=> e12 = op1(e11,op1(e11,e12)) ),
    introduced(definition,[new_symbols(definition,[spl136_252])],[avatar_definition]) ).

fof(f2759,plain,
    ( e12 != op1(e11,op1(e11,e12))
    | spl136_252 ),
    inference(avatar_component_clause,[],[f2757]) ).

fof(f2760,plain,
    ( spl136_250
    | ~ spl136_252 ),
    inference(avatar_split_clause,[],[f1109,f2757,f2748]) ).

fof(f2772,definition,
    ( spl136_255
  <=> sP61 ),
    introduced(definition,[new_symbols(definition,[spl136_255])],[avatar_definition]) ).

fof(f2776,definition,
    ( spl136_256
  <=> e10 = op1(e10,e10) ),
    introduced(definition,[new_symbols(definition,[spl136_256])],[avatar_definition]) ).

fof(f2778,plain,
    ( e10 = op1(e10,e10)
    | ~ spl136_256 ),
    inference(avatar_component_clause,[],[f2776]) ).

fof(f2782,plain,
    ( ~ spl136_255
    | spl136_256 ),
    inference(avatar_split_clause,[],[f252,f2776,f2772]) ).

fof(f2784,definition,
    ( spl136_257
  <=> sP60 ),
    introduced(definition,[new_symbols(definition,[spl136_257])],[avatar_definition]) ).

fof(f2788,definition,
    ( spl136_258
  <=> e10 = op1(e10,e11) ),
    introduced(definition,[new_symbols(definition,[spl136_258])],[avatar_definition]) ).

fof(f2790,plain,
    ( e10 = op1(e10,e11)
    | ~ spl136_258 ),
    inference(avatar_component_clause,[],[f2788]) ).

fof(f2791,plain,
    ( spl136_257
    | spl136_258 ),
    inference(avatar_split_clause,[],[f1106,f2788,f2784]) ).

fof(f2793,definition,
    ( spl136_259
  <=> e10 = op1(e11,e10) ),
    introduced(definition,[new_symbols(definition,[spl136_259])],[avatar_definition]) ).

fof(f2795,plain,
    ( e10 = op1(e11,e10)
    | ~ spl136_259 ),
    inference(avatar_component_clause,[],[f2793]) ).

fof(f2800,definition,
    ( spl136_260
  <=> sP59 ),
    introduced(definition,[new_symbols(definition,[spl136_260])],[avatar_definition]) ).

fof(f2804,definition,
    ( spl136_261
  <=> e10 = op1(e10,e12) ),
    introduced(definition,[new_symbols(definition,[spl136_261])],[avatar_definition]) ).

fof(f2806,plain,
    ( e10 = op1(e10,e12)
    | ~ spl136_261 ),
    inference(avatar_component_clause,[],[f2804]) ).

fof(f2809,definition,
    ( spl136_262
  <=> e10 = op1(e12,e10) ),
    introduced(definition,[new_symbols(definition,[spl136_262])],[avatar_definition]) ).

fof(f2811,plain,
    ( e10 = op1(e12,e10)
    | ~ spl136_262 ),
    inference(avatar_component_clause,[],[f2809]) ).

fof(f2814,plain,
    ( ~ spl136_260
    | spl136_256 ),
    inference(avatar_split_clause,[],[f260,f2776,f2800]) ).

fof(f2816,definition,
    ( spl136_263
  <=> sP58 ),
    introduced(definition,[new_symbols(definition,[spl136_263])],[avatar_definition]) ).

fof(f2820,definition,
    ( spl136_264
  <=> e10 = op1(e10,e13) ),
    introduced(definition,[new_symbols(definition,[spl136_264])],[avatar_definition]) ).

fof(f2822,plain,
    ( e10 = op1(e10,e13)
    | ~ spl136_264 ),
    inference(avatar_component_clause,[],[f2820]) ).

fof(f2825,definition,
    ( spl136_265
  <=> e10 = op1(e13,e10) ),
    introduced(definition,[new_symbols(definition,[spl136_265])],[avatar_definition]) ).

fof(f2827,plain,
    ( e10 = op1(e13,e10)
    | ~ spl136_265 ),
    inference(avatar_component_clause,[],[f2825]) ).

fof(f2830,plain,
    ( ~ spl136_263
    | spl136_256 ),
    inference(avatar_split_clause,[],[f264,f2776,f2816]) ).

fof(f2832,definition,
    ( spl136_266
  <=> sP57 ),
    introduced(definition,[new_symbols(definition,[spl136_266])],[avatar_definition]) ).

fof(f2836,definition,
    ( spl136_267
  <=> e11 = op1(e11,e10) ),
    introduced(definition,[new_symbols(definition,[spl136_267])],[avatar_definition]) ).

fof(f2838,plain,
    ( e11 = op1(e11,e10)
    | ~ spl136_267 ),
    inference(avatar_component_clause,[],[f2836]) ).

fof(f2841,definition,
    ( spl136_268
  <=> e11 = op1(e10,e11) ),
    introduced(definition,[new_symbols(definition,[spl136_268])],[avatar_definition]) ).

fof(f2843,plain,
    ( e11 = op1(e10,e11)
    | ~ spl136_268 ),
    inference(avatar_component_clause,[],[f2841]) ).

fof(f2846,plain,
    ( spl136_266
    | spl136_258 ),
    inference(avatar_split_clause,[],[f1099,f2788,f2832]) ).

fof(f2848,definition,
    ( spl136_269
  <=> sP56 ),
    introduced(definition,[new_symbols(definition,[spl136_269])],[avatar_definition]) ).

fof(f2852,definition,
    ( spl136_270
  <=> e11 = op1(e11,e11) ),
    introduced(definition,[new_symbols(definition,[spl136_270])],[avatar_definition]) ).

fof(f2854,plain,
    ( e11 = op1(e11,e11)
    | ~ spl136_270 ),
    inference(avatar_component_clause,[],[f2852]) ).

fof(f2858,plain,
    ( spl136_269
    | spl136_258 ),
    inference(avatar_split_clause,[],[f1095,f2788,f2848]) ).

fof(f2860,definition,
    ( spl136_271
  <=> sP55 ),
    introduced(definition,[new_symbols(definition,[spl136_271])],[avatar_definition]) ).

fof(f2864,definition,
    ( spl136_272
  <=> e11 = op1(e11,e12) ),
    introduced(definition,[new_symbols(definition,[spl136_272])],[avatar_definition]) ).

fof(f2866,plain,
    ( e11 = op1(e11,e12)
    | ~ spl136_272 ),
    inference(avatar_component_clause,[],[f2864]) ).

fof(f2869,definition,
    ( spl136_273
  <=> e11 = op1(e12,e11) ),
    introduced(definition,[new_symbols(definition,[spl136_273])],[avatar_definition]) ).

fof(f2871,plain,
    ( e11 = op1(e12,e11)
    | ~ spl136_273 ),
    inference(avatar_component_clause,[],[f2869]) ).

fof(f2874,plain,
    ( spl136_271
    | spl136_258 ),
    inference(avatar_split_clause,[],[f1091,f2788,f2860]) ).

fof(f2876,definition,
    ( spl136_274
  <=> sP54 ),
    introduced(definition,[new_symbols(definition,[spl136_274])],[avatar_definition]) ).

fof(f2880,definition,
    ( spl136_275
  <=> e11 = op1(e11,e13) ),
    introduced(definition,[new_symbols(definition,[spl136_275])],[avatar_definition]) ).

fof(f2882,plain,
    ( e11 = op1(e11,e13)
    | ~ spl136_275 ),
    inference(avatar_component_clause,[],[f2880]) ).

fof(f2885,definition,
    ( spl136_276
  <=> e11 = op1(e13,e11) ),
    introduced(definition,[new_symbols(definition,[spl136_276])],[avatar_definition]) ).

fof(f2887,plain,
    ( e11 = op1(e13,e11)
    | ~ spl136_276 ),
    inference(avatar_component_clause,[],[f2885]) ).

fof(f2890,plain,
    ( ~ spl136_274
    | spl136_258 ),
    inference(avatar_split_clause,[],[f280,f2788,f2876]) ).

fof(f2892,definition,
    ( spl136_277
  <=> sP53 ),
    introduced(definition,[new_symbols(definition,[spl136_277])],[avatar_definition]) ).

fof(f2896,definition,
    ( spl136_278
  <=> e12 = op1(e12,e10) ),
    introduced(definition,[new_symbols(definition,[spl136_278])],[avatar_definition]) ).

fof(f2898,plain,
    ( e12 = op1(e12,e10)
    | ~ spl136_278 ),
    inference(avatar_component_clause,[],[f2896]) ).

fof(f2901,definition,
    ( spl136_279
  <=> e12 = op1(e10,e12) ),
    introduced(definition,[new_symbols(definition,[spl136_279])],[avatar_definition]) ).

fof(f2903,plain,
    ( e12 = op1(e10,e12)
    | ~ spl136_279 ),
    inference(avatar_component_clause,[],[f2901]) ).

fof(f2904,plain,
    ( ~ spl136_277
    | spl136_279 ),
    inference(avatar_split_clause,[],[f282,f2901,f2892]) ).

fof(f2906,plain,
    ( ~ spl136_277
    | spl136_261 ),
    inference(avatar_split_clause,[],[f284,f2804,f2892]) ).

fof(f2908,definition,
    ( spl136_280
  <=> sP52 ),
    introduced(definition,[new_symbols(definition,[spl136_280])],[avatar_definition]) ).

fof(f2912,definition,
    ( spl136_281
  <=> e12 = op1(e12,e11) ),
    introduced(definition,[new_symbols(definition,[spl136_281])],[avatar_definition]) ).

fof(f2914,plain,
    ( e12 = op1(e12,e11)
    | ~ spl136_281 ),
    inference(avatar_component_clause,[],[f2912]) ).

fof(f2917,definition,
    ( spl136_282
  <=> e12 = op1(e11,e12) ),
    introduced(definition,[new_symbols(definition,[spl136_282])],[avatar_definition]) ).

fof(f2919,plain,
    ( e12 = op1(e11,e12)
    | ~ spl136_282 ),
    inference(avatar_component_clause,[],[f2917]) ).

fof(f2920,plain,
    ( ~ spl136_280
    | spl136_282 ),
    inference(avatar_split_clause,[],[f286,f2917,f2908]) ).

fof(f2921,plain,
    ( ~ spl136_280
    | spl136_262 ),
    inference(avatar_split_clause,[],[f287,f2809,f2908]) ).

fof(f2922,plain,
    ( ~ spl136_280
    | spl136_261 ),
    inference(avatar_split_clause,[],[f288,f2804,f2908]) ).

fof(f2924,definition,
    ( spl136_283
  <=> sP51 ),
    introduced(definition,[new_symbols(definition,[spl136_283])],[avatar_definition]) ).

fof(f2928,definition,
    ( spl136_284
  <=> e12 = op1(e12,e12) ),
    introduced(definition,[new_symbols(definition,[spl136_284])],[avatar_definition]) ).

fof(f2930,plain,
    ( e12 = op1(e12,e12)
    | ~ spl136_284 ),
    inference(avatar_component_clause,[],[f2928]) ).

fof(f2932,plain,
    ( ~ spl136_283
    | spl136_284 ),
    inference(avatar_split_clause,[],[f290,f2928,f2924]) ).

fof(f2933,plain,
    ( ~ spl136_283
    | spl136_262 ),
    inference(avatar_split_clause,[],[f291,f2809,f2924]) ).

fof(f2934,plain,
    ( ~ spl136_283
    | spl136_261 ),
    inference(avatar_split_clause,[],[f292,f2804,f2924]) ).

fof(f2936,definition,
    ( spl136_285
  <=> sP50 ),
    introduced(definition,[new_symbols(definition,[spl136_285])],[avatar_definition]) ).

fof(f2940,definition,
    ( spl136_286
  <=> e12 = op1(e12,e13) ),
    introduced(definition,[new_symbols(definition,[spl136_286])],[avatar_definition]) ).

fof(f2942,plain,
    ( e12 = op1(e12,e13)
    | ~ spl136_286 ),
    inference(avatar_component_clause,[],[f2940]) ).

fof(f2943,plain,
    ( spl136_285
    | spl136_286 ),
    inference(avatar_split_clause,[],[f1090,f2940,f2936]) ).

fof(f2945,definition,
    ( spl136_287
  <=> e12 = op1(e13,e12) ),
    introduced(definition,[new_symbols(definition,[spl136_287])],[avatar_definition]) ).

fof(f2947,plain,
    ( e12 = op1(e13,e12)
    | ~ spl136_287 ),
    inference(avatar_component_clause,[],[f2945]) ).

fof(f2949,plain,
    ( spl136_285
    | spl136_262 ),
    inference(avatar_split_clause,[],[f1088,f2809,f2936]) ).

fof(f2950,plain,
    ( spl136_285
    | spl136_261 ),
    inference(avatar_split_clause,[],[f1087,f2804,f2936]) ).

fof(f2952,definition,
    ( spl136_288
  <=> sP49 ),
    introduced(definition,[new_symbols(definition,[spl136_288])],[avatar_definition]) ).

fof(f2956,definition,
    ( spl136_289
  <=> e13 = op1(e13,e10) ),
    introduced(definition,[new_symbols(definition,[spl136_289])],[avatar_definition]) ).

fof(f2958,plain,
    ( e13 = op1(e13,e10)
    | ~ spl136_289 ),
    inference(avatar_component_clause,[],[f2956]) ).

fof(f2959,plain,
    ( spl136_288
    | spl136_289 ),
    inference(avatar_split_clause,[],[f1086,f2956,f2952]) ).

fof(f2961,definition,
    ( spl136_290
  <=> e13 = op1(e10,e13) ),
    introduced(definition,[new_symbols(definition,[spl136_290])],[avatar_definition]) ).

fof(f2963,plain,
    ( e13 = op1(e10,e13)
    | ~ spl136_290 ),
    inference(avatar_component_clause,[],[f2961]) ).

fof(f2964,plain,
    ( spl136_288
    | spl136_290 ),
    inference(avatar_split_clause,[],[f1085,f2961,f2952]) ).

fof(f2965,plain,
    ( spl136_288
    | spl136_265 ),
    inference(avatar_split_clause,[],[f1084,f2825,f2952]) ).

fof(f2968,definition,
    ( spl136_291
  <=> sP48 ),
    introduced(definition,[new_symbols(definition,[spl136_291])],[avatar_definition]) ).

fof(f2972,definition,
    ( spl136_292
  <=> e13 = op1(e13,e11) ),
    introduced(definition,[new_symbols(definition,[spl136_292])],[avatar_definition]) ).

fof(f2974,plain,
    ( e13 = op1(e13,e11)
    | ~ spl136_292 ),
    inference(avatar_component_clause,[],[f2972]) ).

fof(f2975,plain,
    ( spl136_291
    | spl136_292 ),
    inference(avatar_split_clause,[],[f1082,f2972,f2968]) ).

fof(f2977,definition,
    ( spl136_293
  <=> e13 = op1(e11,e13) ),
    introduced(definition,[new_symbols(definition,[spl136_293])],[avatar_definition]) ).

fof(f2979,plain,
    ( e13 = op1(e11,e13)
    | ~ spl136_293 ),
    inference(avatar_component_clause,[],[f2977]) ).

fof(f2984,definition,
    ( spl136_294
  <=> sP47 ),
    introduced(definition,[new_symbols(definition,[spl136_294])],[avatar_definition]) ).

fof(f2988,definition,
    ( spl136_295
  <=> e13 = op1(e13,e12) ),
    introduced(definition,[new_symbols(definition,[spl136_295])],[avatar_definition]) ).

fof(f2990,plain,
    ( e13 = op1(e13,e12)
    | ~ spl136_295 ),
    inference(avatar_component_clause,[],[f2988]) ).

fof(f2991,plain,
    ( spl136_294
    | spl136_295 ),
    inference(avatar_split_clause,[],[f1078,f2988,f2984]) ).

fof(f2993,definition,
    ( spl136_296
  <=> e13 = op1(e12,e13) ),
    introduced(definition,[new_symbols(definition,[spl136_296])],[avatar_definition]) ).

fof(f2995,plain,
    ( e13 = op1(e12,e13)
    | ~ spl136_296 ),
    inference(avatar_component_clause,[],[f2993]) ).

fof(f2996,plain,
    ( spl136_294
    | spl136_296 ),
    inference(avatar_split_clause,[],[f1077,f2993,f2984]) ).

fof(f2997,plain,
    ( spl136_294
    | spl136_265 ),
    inference(avatar_split_clause,[],[f1076,f2825,f2984]) ).

fof(f3000,definition,
    ( spl136_297
  <=> sP46 ),
    introduced(definition,[new_symbols(definition,[spl136_297])],[avatar_definition]) ).

fof(f3004,definition,
    ( spl136_298
  <=> e13 = op1(e13,e13) ),
    introduced(definition,[new_symbols(definition,[spl136_298])],[avatar_definition]) ).

fof(f3006,plain,
    ( e13 = op1(e13,e13)
    | ~ spl136_298 ),
    inference(avatar_component_clause,[],[f3004]) ).

fof(f3008,plain,
    ( ~ spl136_297
    | spl136_298 ),
    inference(avatar_split_clause,[],[f310,f3004,f3000]) ).

fof(f3012,definition,
    ( spl136_299
  <=> sP45 ),
    introduced(definition,[new_symbols(definition,[spl136_299])],[avatar_definition]) ).

fof(f3017,plain,
    ( ~ spl136_299
    | spl136_268 ),
    inference(avatar_split_clause,[],[f315,f2841,f3012]) ).

fof(f3020,definition,
    ( spl136_300
  <=> sP44 ),
    introduced(definition,[new_symbols(definition,[spl136_300])],[avatar_definition]) ).

fof(f3025,plain,
    ( spl136_300
    | spl136_268 ),
    inference(avatar_split_clause,[],[f1072,f2841,f3020]) ).

fof(f3028,definition,
    ( spl136_301
  <=> sP43 ),
    introduced(definition,[new_symbols(definition,[spl136_301])],[avatar_definition]) ).

fof(f3033,plain,
    ( ~ spl136_301
    | spl136_268 ),
    inference(avatar_split_clause,[],[f323,f2841,f3028]) ).

fof(f3036,definition,
    ( spl136_302
  <=> sP42 ),
    introduced(definition,[new_symbols(definition,[spl136_302])],[avatar_definition]) ).

fof(f3041,plain,
    ( spl136_302
    | spl136_268 ),
    inference(avatar_split_clause,[],[f1068,f2841,f3036]) ).

fof(f3044,definition,
    ( spl136_303
  <=> sP41 ),
    introduced(definition,[new_symbols(definition,[spl136_303])],[avatar_definition]) ).

fof(f3050,plain,
    ( ~ spl136_303
    | spl136_270 ),
    inference(avatar_split_clause,[],[f332,f2852,f3044]) ).

fof(f3052,definition,
    ( spl136_304
  <=> sP40 ),
    introduced(definition,[new_symbols(definition,[spl136_304])],[avatar_definition]) ).

fof(f3058,plain,
    ( spl136_304
    | spl136_270 ),
    inference(avatar_split_clause,[],[f1063,f2852,f3052]) ).

fof(f3060,definition,
    ( spl136_305
  <=> sP39 ),
    introduced(definition,[new_symbols(definition,[spl136_305])],[avatar_definition]) ).

fof(f3066,plain,
    ( ~ spl136_305
    | spl136_270 ),
    inference(avatar_split_clause,[],[f340,f2852,f3060]) ).

fof(f3068,definition,
    ( spl136_306
  <=> sP38 ),
    introduced(definition,[new_symbols(definition,[spl136_306])],[avatar_definition]) ).

fof(f3074,plain,
    ( spl136_306
    | spl136_270 ),
    inference(avatar_split_clause,[],[f1059,f2852,f3068]) ).

fof(f3076,definition,
    ( spl136_307
  <=> sP37 ),
    introduced(definition,[new_symbols(definition,[spl136_307])],[avatar_definition]) ).

fof(f3081,plain,
    ( spl136_307
    | spl136_273 ),
    inference(avatar_split_clause,[],[f1056,f2869,f3076]) ).

fof(f3084,definition,
    ( spl136_308
  <=> sP36 ),
    introduced(definition,[new_symbols(definition,[spl136_308])],[avatar_definition]) ).

fof(f3089,plain,
    ( spl136_308
    | spl136_273 ),
    inference(avatar_split_clause,[],[f1052,f2869,f3084]) ).

fof(f3092,definition,
    ( spl136_309
  <=> sP35 ),
    introduced(definition,[new_symbols(definition,[spl136_309])],[avatar_definition]) ).

fof(f3097,plain,
    ( spl136_309
    | spl136_273 ),
    inference(avatar_split_clause,[],[f1048,f2869,f3092]) ).

fof(f3100,definition,
    ( spl136_310
  <=> sP34 ),
    introduced(definition,[new_symbols(definition,[spl136_310])],[avatar_definition]) ).

fof(f3105,plain,
    ( spl136_310
    | spl136_273 ),
    inference(avatar_split_clause,[],[f1044,f2869,f3100]) ).

fof(f3108,definition,
    ( spl136_311
  <=> sP33 ),
    introduced(definition,[new_symbols(definition,[spl136_311])],[avatar_definition]) ).

fof(f3112,plain,
    ( ~ spl136_311
    | spl136_290 ),
    inference(avatar_split_clause,[],[f362,f2961,f3108]) ).

fof(f3114,plain,
    ( ~ spl136_311
    | spl136_275 ),
    inference(avatar_split_clause,[],[f364,f2880,f3108]) ).

fof(f3116,definition,
    ( spl136_312
  <=> sP32 ),
    introduced(definition,[new_symbols(definition,[spl136_312])],[avatar_definition]) ).

fof(f3119,plain,
    ( ~ spl136_312
    | spl136_292 ),
    inference(avatar_split_clause,[],[f365,f2972,f3116]) ).

fof(f3124,definition,
    ( spl136_313
  <=> sP31 ),
    introduced(definition,[new_symbols(definition,[spl136_313])],[avatar_definition]) ).

fof(f3127,plain,
    ( ~ spl136_313
    | spl136_295 ),
    inference(avatar_split_clause,[],[f369,f2988,f3124]) ).

fof(f3128,plain,
    ( ~ spl136_313
    | spl136_296 ),
    inference(avatar_split_clause,[],[f370,f2993,f3124]) ).

fof(f3130,plain,
    ( ~ spl136_313
    | spl136_275 ),
    inference(avatar_split_clause,[],[f372,f2880,f3124]) ).

fof(f3132,definition,
    ( spl136_314
  <=> sP30 ),
    introduced(definition,[new_symbols(definition,[spl136_314])],[avatar_definition]) ).

fof(f3136,plain,
    ( spl136_314
    | spl136_298 ),
    inference(avatar_split_clause,[],[f1041,f3004,f3132]) ).

fof(f3140,definition,
    ( spl136_315
  <=> sP29 ),
    introduced(definition,[new_symbols(definition,[spl136_315])],[avatar_definition]) ).

fof(f3144,plain,
    ( spl136_315
    | spl136_256 ),
    inference(avatar_split_clause,[],[f1037,f2776,f3140]) ).

fof(f3148,definition,
    ( spl136_316
  <=> sP28 ),
    introduced(definition,[new_symbols(definition,[spl136_316])],[avatar_definition]) ).

fof(f3151,plain,
    ( spl136_316
    | spl136_258 ),
    inference(avatar_split_clause,[],[f1034,f2788,f3148]) ).

fof(f3156,definition,
    ( spl136_317
  <=> sP27 ),
    introduced(definition,[new_symbols(definition,[spl136_317])],[avatar_definition]) ).

fof(f3159,plain,
    ( ~ spl136_317
    | spl136_261 ),
    inference(avatar_split_clause,[],[f385,f2804,f3156]) ).

fof(f3161,plain,
    ( ~ spl136_317
    | spl136_279 ),
    inference(avatar_split_clause,[],[f387,f2901,f3156]) ).

fof(f3164,definition,
    ( spl136_318
  <=> sP26 ),
    introduced(definition,[new_symbols(definition,[spl136_318])],[avatar_definition]) ).

fof(f3168,plain,
    ( spl136_318
    | spl136_265 ),
    inference(avatar_split_clause,[],[f1029,f2825,f3164]) ).

fof(f3169,plain,
    ( spl136_318
    | spl136_279 ),
    inference(avatar_split_clause,[],[f1028,f2901,f3164]) ).

fof(f3170,plain,
    ( spl136_318
    | spl136_278 ),
    inference(avatar_split_clause,[],[f1027,f2896,f3164]) ).

fof(f3172,definition,
    ( spl136_319
  <=> sP25 ),
    introduced(definition,[new_symbols(definition,[spl136_319])],[avatar_definition]) ).

fof(f3176,plain,
    ( ~ spl136_319
    | spl136_268 ),
    inference(avatar_split_clause,[],[f394,f2841,f3172]) ).

fof(f3180,definition,
    ( spl136_320
  <=> sP24 ),
    introduced(definition,[new_symbols(definition,[spl136_320])],[avatar_definition]) ).

fof(f3184,plain,
    ( spl136_320
    | spl136_270 ),
    inference(avatar_split_clause,[],[f1025,f2852,f3180]) ).

fof(f3188,definition,
    ( spl136_321
  <=> sP23 ),
    introduced(definition,[new_symbols(definition,[spl136_321])],[avatar_definition]) ).

fof(f3192,plain,
    ( ~ spl136_321
    | spl136_273 ),
    inference(avatar_split_clause,[],[f402,f2869,f3188]) ).

fof(f3196,definition,
    ( spl136_322
  <=> sP22 ),
    introduced(definition,[new_symbols(definition,[spl136_322])],[avatar_definition]) ).

fof(f3199,plain,
    ( spl136_322
    | spl136_275 ),
    inference(avatar_split_clause,[],[f1022,f2880,f3196]) ).

fof(f3201,plain,
    ( spl136_322
    | spl136_282 ),
    inference(avatar_split_clause,[],[f1020,f2917,f3196]) ).

fof(f3204,definition,
    ( spl136_323
  <=> sP21 ),
    introduced(definition,[new_symbols(definition,[spl136_323])],[avatar_definition]) ).

fof(f3208,plain,
    ( ~ spl136_323
    | spl136_279 ),
    inference(avatar_split_clause,[],[f410,f2901,f3204]) ).

fof(f3210,plain,
    ( ~ spl136_323
    | spl136_284 ),
    inference(avatar_split_clause,[],[f412,f2928,f3204]) ).

fof(f3212,definition,
    ( spl136_324
  <=> sP20 ),
    introduced(definition,[new_symbols(definition,[spl136_324])],[avatar_definition]) ).

fof(f3216,plain,
    ( spl136_324
    | spl136_282 ),
    inference(avatar_split_clause,[],[f1017,f2917,f3212]) ).

fof(f3218,plain,
    ( spl136_324
    | spl136_284 ),
    inference(avatar_split_clause,[],[f1015,f2928,f3212]) ).

fof(f3220,definition,
    ( spl136_325
  <=> sP19 ),
    introduced(definition,[new_symbols(definition,[spl136_325])],[avatar_definition]) ).

fof(f3226,plain,
    ( spl136_325
    | spl136_284 ),
    inference(avatar_split_clause,[],[f1011,f2928,f3220]) ).

fof(f3228,definition,
    ( spl136_326
  <=> sP18 ),
    introduced(definition,[new_symbols(definition,[spl136_326])],[avatar_definition]) ).

fof(f3231,plain,
    ( spl136_326
    | spl136_286 ),
    inference(avatar_split_clause,[],[f1010,f2940,f3228]) ).

fof(f3232,plain,
    ( spl136_326
    | spl136_287 ),
    inference(avatar_split_clause,[],[f1009,f2945,f3228]) ).

fof(f3234,plain,
    ( spl136_326
    | spl136_284 ),
    inference(avatar_split_clause,[],[f1007,f2928,f3228]) ).

fof(f3236,definition,
    ( spl136_327
  <=> sP17 ),
    introduced(definition,[new_symbols(definition,[spl136_327])],[avatar_definition]) ).

fof(f3239,plain,
    ( ~ spl136_327
    | spl136_289 ),
    inference(avatar_split_clause,[],[f425,f2956,f3236]) ).

fof(f3240,plain,
    ( ~ spl136_327
    | spl136_290 ),
    inference(avatar_split_clause,[],[f426,f2961,f3236]) ).

fof(f3242,plain,
    ( ~ spl136_327
    | spl136_286 ),
    inference(avatar_split_clause,[],[f428,f2940,f3236]) ).

fof(f3244,definition,
    ( spl136_328
  <=> sP16 ),
    introduced(definition,[new_symbols(definition,[spl136_328])],[avatar_definition]) ).

fof(f3247,plain,
    ( ~ spl136_328
    | spl136_292 ),
    inference(avatar_split_clause,[],[f429,f2972,f3244]) ).

fof(f3252,definition,
    ( spl136_329
  <=> sP15 ),
    introduced(definition,[new_symbols(definition,[spl136_329])],[avatar_definition]) ).

fof(f3255,plain,
    ( ~ spl136_329
    | spl136_295 ),
    inference(avatar_split_clause,[],[f433,f2988,f3252]) ).

fof(f3256,plain,
    ( ~ spl136_329
    | spl136_296 ),
    inference(avatar_split_clause,[],[f434,f2993,f3252]) ).

fof(f3257,plain,
    ( ~ spl136_329
    | spl136_287 ),
    inference(avatar_split_clause,[],[f435,f2945,f3252]) ).

fof(f3260,definition,
    ( spl136_330
  <=> sP14 ),
    introduced(definition,[new_symbols(definition,[spl136_330])],[avatar_definition]) ).

fof(f3264,plain,
    ( ~ spl136_330
    | spl136_298 ),
    inference(avatar_split_clause,[],[f438,f3004,f3260]) ).

fof(f3266,plain,
    ( ~ spl136_330
    | spl136_286 ),
    inference(avatar_split_clause,[],[f440,f2940,f3260]) ).

fof(f3268,definition,
    ( spl136_331
  <=> sP13 ),
    introduced(definition,[new_symbols(definition,[spl136_331])],[avatar_definition]) ).

fof(f3272,plain,
    ( spl136_331
    | spl136_256 ),
    inference(avatar_split_clause,[],[f1005,f2776,f3268]) ).

fof(f3276,definition,
    ( spl136_332
  <=> sP12 ),
    introduced(definition,[new_symbols(definition,[spl136_332])],[avatar_definition]) ).

fof(f3279,plain,
    ( spl136_332
    | spl136_258 ),
    inference(avatar_split_clause,[],[f1002,f2788,f3276]) ).

fof(f3284,definition,
    ( spl136_333
  <=> sP11 ),
    introduced(definition,[new_symbols(definition,[spl136_333])],[avatar_definition]) ).

fof(f3287,plain,
    ( ~ spl136_333
    | spl136_261 ),
    inference(avatar_split_clause,[],[f449,f2804,f3284]) ).

fof(f3288,plain,
    ( ~ spl136_333
    | spl136_262 ),
    inference(avatar_split_clause,[],[f450,f2809,f3284]) ).

fof(f3289,plain,
    ( ~ spl136_333
    | spl136_290 ),
    inference(avatar_split_clause,[],[f451,f2961,f3284]) ).

fof(f3292,definition,
    ( spl136_334
  <=> sP10 ),
    introduced(definition,[new_symbols(definition,[spl136_334])],[avatar_definition]) ).

fof(f3296,plain,
    ( ~ spl136_334
    | spl136_265 ),
    inference(avatar_split_clause,[],[f454,f2825,f3292]) ).

fof(f3297,plain,
    ( ~ spl136_334
    | spl136_290 ),
    inference(avatar_split_clause,[],[f455,f2961,f3292]) ).

fof(f3298,plain,
    ( ~ spl136_334
    | spl136_289 ),
    inference(avatar_split_clause,[],[f456,f2956,f3292]) ).

fof(f3300,definition,
    ( spl136_335
  <=> sP9 ),
    introduced(definition,[new_symbols(definition,[spl136_335])],[avatar_definition]) ).

fof(f3304,plain,
    ( spl136_335
    | spl136_268 ),
    inference(avatar_split_clause,[],[f997,f2841,f3300]) ).

fof(f3308,definition,
    ( spl136_336
  <=> sP8 ),
    introduced(definition,[new_symbols(definition,[spl136_336])],[avatar_definition]) ).

fof(f3312,plain,
    ( ~ spl136_336
    | spl136_270 ),
    inference(avatar_split_clause,[],[f462,f2852,f3308]) ).

fof(f3316,definition,
    ( spl136_337
  <=> sP7 ),
    introduced(definition,[new_symbols(definition,[spl136_337])],[avatar_definition]) ).

fof(f3320,plain,
    ( ~ spl136_337
    | spl136_273 ),
    inference(avatar_split_clause,[],[f466,f2869,f3316]) ).

fof(f3324,definition,
    ( spl136_338
  <=> sP6 ),
    introduced(definition,[new_symbols(definition,[spl136_338])],[avatar_definition]) ).

fof(f3330,plain,
    ( spl136_338
    | spl136_292 ),
    inference(avatar_split_clause,[],[f991,f2972,f3324]) ).

fof(f3332,definition,
    ( spl136_339
  <=> sP5 ),
    introduced(definition,[new_symbols(definition,[spl136_339])],[avatar_definition]) ).

fof(f3336,plain,
    ( spl136_339
    | spl136_279 ),
    inference(avatar_split_clause,[],[f989,f2901,f3332]) ).

fof(f3337,plain,
    ( spl136_339
    | spl136_296 ),
    inference(avatar_split_clause,[],[f988,f2993,f3332]) ).

fof(f3338,plain,
    ( spl136_339
    | spl136_295 ),
    inference(avatar_split_clause,[],[f987,f2988,f3332]) ).

fof(f3340,definition,
    ( spl136_340
  <=> sP4 ),
    introduced(definition,[new_symbols(definition,[spl136_340])],[avatar_definition]) ).

fof(f3344,plain,
    ( spl136_340
    | spl136_282 ),
    inference(avatar_split_clause,[],[f985,f2917,f3340]) ).

fof(f3345,plain,
    ( spl136_340
    | spl136_296 ),
    inference(avatar_split_clause,[],[f984,f2993,f3340]) ).

fof(f3348,definition,
    ( spl136_341
  <=> sP3 ),
    introduced(definition,[new_symbols(definition,[spl136_341])],[avatar_definition]) ).

fof(f3352,plain,
    ( spl136_341
    | spl136_284 ),
    inference(avatar_split_clause,[],[f981,f2928,f3348]) ).

fof(f3353,plain,
    ( spl136_341
    | spl136_296 ),
    inference(avatar_split_clause,[],[f980,f2993,f3348]) ).

fof(f3354,plain,
    ( spl136_341
    | spl136_295 ),
    inference(avatar_split_clause,[],[f979,f2988,f3348]) ).

fof(f3356,definition,
    ( spl136_342
  <=> sP2 ),
    introduced(definition,[new_symbols(definition,[spl136_342])],[avatar_definition]) ).

fof(f3360,plain,
    ( ~ spl136_342
    | spl136_287 ),
    inference(avatar_split_clause,[],[f486,f2945,f3356]) ).

fof(f3361,plain,
    ( ~ spl136_342
    | spl136_296 ),
    inference(avatar_split_clause,[],[f487,f2993,f3356]) ).

fof(f3362,plain,
    ( ~ spl136_342
    | spl136_295 ),
    inference(avatar_split_clause,[],[f488,f2988,f3356]) ).

fof(f3364,definition,
    ( spl136_343
  <=> sP1 ),
    introduced(definition,[new_symbols(definition,[spl136_343])],[avatar_definition]) ).

fof(f3368,plain,
    ( ~ spl136_343
    | spl136_290 ),
    inference(avatar_split_clause,[],[f490,f2961,f3364]) ).

fof(f3370,plain,
    ( ~ spl136_343
    | spl136_298 ),
    inference(avatar_split_clause,[],[f492,f3004,f3364]) ).

fof(f3372,definition,
    ( spl136_344
  <=> sP0 ),
    introduced(definition,[new_symbols(definition,[spl136_344])],[avatar_definition]) ).

fof(f3375,plain,
    ( spl136_344
    | spl136_292 ),
    inference(avatar_split_clause,[],[f978,f2972,f3372]) ).

fof(f3380,definition,
    ( spl136_345
  <=> e13 = op1(e12,op1(e12,e13)) ),
    introduced(definition,[new_symbols(definition,[spl136_345])],[avatar_definition]) ).

fof(f3382,plain,
    ( e13 != op1(e12,op1(e12,e13))
    | spl136_345 ),
    inference(avatar_component_clause,[],[f3380]) ).

fof(f3394,definition,
    ( spl136_348
  <=> e11 = op1(e12,op1(e12,e11)) ),
    introduced(definition,[new_symbols(definition,[spl136_348])],[avatar_definition]) ).

fof(f3396,plain,
    ( e11 != op1(e12,op1(e12,e11))
    | spl136_348 ),
    inference(avatar_component_clause,[],[f3394]) ).

fof(f3404,definition,
    ( spl136_350
  <=> e11 = op1(e13,op1(e13,e11)) ),
    introduced(definition,[new_symbols(definition,[spl136_350])],[avatar_definition]) ).

fof(f3406,plain,
    ( e11 != op1(e13,op1(e13,e11))
    | spl136_350 ),
    inference(avatar_component_clause,[],[f3404]) ).

fof(f3407,plain,
    ( spl136_245
    | ~ spl136_250
    | ~ spl136_345
    | ~ spl136_350 ),
    inference(avatar_split_clause,[],[f970,f3404,f3380,f2748,f2724]) ).

fof(f3409,plain,
    ( spl136_245
    | ~ spl136_250
    | ~ spl136_348
    | ~ spl136_350 ),
    inference(avatar_split_clause,[],[f968,f3404,f3394,f2748,f2724]) ).

fof(f3440,plain,
    ( spl136_255
    | ~ spl136_257
    | spl136_260
    | spl136_263
    | ~ spl136_266
    | ~ spl136_269
    | ~ spl136_271
    | spl136_274
    | spl136_277
    | spl136_280
    | spl136_283
    | ~ spl136_285
    | ~ spl136_288
    | ~ spl136_291
    | ~ spl136_294
    | spl136_297
    | spl136_299
    | ~ spl136_300
    | spl136_301
    | ~ spl136_302
    | spl136_303
    | ~ spl136_304
    | spl136_305
    | ~ spl136_306
    | ~ spl136_307
    | ~ spl136_308
    | ~ spl136_309
    | ~ spl136_310
    | spl136_311
    | spl136_312
    | spl136_313
    | ~ spl136_314
    | ~ spl136_315
    | ~ spl136_316
    | spl136_317
    | ~ spl136_318
    | spl136_319
    | ~ spl136_320
    | spl136_321
    | ~ spl136_322
    | spl136_323
    | ~ spl136_324
    | ~ spl136_325
    | ~ spl136_326
    | spl136_327
    | spl136_328
    | spl136_329
    | spl136_330
    | ~ spl136_331
    | ~ spl136_332
    | spl136_333
    | spl136_334
    | ~ spl136_335
    | spl136_336
    | spl136_337
    | ~ spl136_338
    | ~ spl136_339
    | ~ spl136_340
    | ~ spl136_341
    | spl136_342
    | spl136_343
    | ~ spl136_344
    | spl136_296
    | spl136_298 ),
    inference(avatar_split_clause,[],[f945,f3004,f2993,f3372,f3364,f3356,f3348,f3340,f3332,f3324,f3316,f3308,f3300,f3292,f3284,f3276,f3268,f3260,f3252,f3244,f3236,f3228,f3220,f3212,f3204,f3196,f3188,f3180,f3172,f3164,f3156,f3148,f3140,f3132,f3124,f3116,f3108,f3100,f3092,f3084,f3076,f3068,f3060,f3052,f3044,f3036,f3028,f3020,f3012,f3000,f2984,f2968,f2952,f2936,f2924,f2908,f2892,f2876,f2860,f2848,f2832,f2816,f2800,f2784,f2772]) ).

fof(f3442,plain,
    ( spl136_255
    | ~ spl136_257
    | spl136_260
    | spl136_263
    | ~ spl136_266
    | ~ spl136_269
    | ~ spl136_271
    | spl136_274
    | spl136_277
    | spl136_280
    | spl136_283
    | ~ spl136_285
    | ~ spl136_288
    | ~ spl136_291
    | ~ spl136_294
    | spl136_297
    | spl136_299
    | ~ spl136_300
    | spl136_301
    | ~ spl136_302
    | spl136_303
    | ~ spl136_304
    | spl136_305
    | ~ spl136_306
    | ~ spl136_307
    | ~ spl136_308
    | ~ spl136_309
    | ~ spl136_310
    | spl136_311
    | spl136_312
    | spl136_313
    | ~ spl136_314
    | ~ spl136_315
    | ~ spl136_316
    | spl136_317
    | ~ spl136_318
    | spl136_319
    | ~ spl136_320
    | spl136_321
    | ~ spl136_322
    | spl136_323
    | ~ spl136_324
    | ~ spl136_325
    | ~ spl136_326
    | spl136_327
    | spl136_328
    | spl136_329
    | spl136_330
    | ~ spl136_331
    | ~ spl136_332
    | spl136_333
    | spl136_334
    | ~ spl136_335
    | spl136_336
    | spl136_337
    | ~ spl136_338
    | ~ spl136_339
    | ~ spl136_340
    | ~ spl136_341
    | spl136_342
    | spl136_343
    | ~ spl136_344
    | spl136_298 ),
    inference(avatar_split_clause,[],[f943,f3004,f3372,f3364,f3356,f3348,f3340,f3332,f3324,f3316,f3308,f3300,f3292,f3284,f3276,f3268,f3260,f3252,f3244,f3236,f3228,f3220,f3212,f3204,f3196,f3188,f3180,f3172,f3164,f3156,f3148,f3140,f3132,f3124,f3116,f3108,f3100,f3092,f3084,f3076,f3068,f3060,f3052,f3044,f3036,f3028,f3020,f3012,f3000,f2984,f2968,f2952,f2936,f2924,f2908,f2892,f2876,f2860,f2848,f2832,f2816,f2800,f2784,f2772]) ).

fof(f3443,plain,
    ( spl136_256
    | spl136_267
    | spl136_278
    | spl136_289 ),
    inference(avatar_split_clause,[],[f529,f2956,f2896,f2836,f2776]) ).

fof(f3444,plain,
    ( spl136_258
    | spl136_270
    | spl136_281
    | spl136_292 ),
    inference(avatar_split_clause,[],[f530,f2972,f2912,f2852,f2788]) ).

fof(f3445,plain,
    ( spl136_261
    | spl136_272
    | spl136_284
    | spl136_295 ),
    inference(avatar_split_clause,[],[f531,f2988,f2928,f2864,f2804]) ).

fof(f3446,plain,
    ( spl136_264
    | spl136_275
    | spl136_286
    | spl136_298 ),
    inference(avatar_split_clause,[],[f532,f3004,f2940,f2880,f2820]) ).

fof(f3447,plain,
    ( spl136_148
    | spl136_150
    | spl136_153
    | spl136_156 ),
    inference(avatar_split_clause,[],[f85,f2096,f2080,f2064,f2052]) ).

fof(f3448,plain,
    ( spl136_148
    | spl136_151
    | spl136_154
    | spl136_157 ),
    inference(avatar_split_clause,[],[f86,f2101,f2085,f2069,f2052]) ).

fof(f3450,definition,
    ( spl136_353
  <=> op2(e20,e20) = e21 ),
    introduced(definition,[new_symbols(definition,[spl136_353])],[avatar_definition]) ).

fof(f3452,plain,
    ( op2(e20,e20) = e21
    | ~ spl136_353 ),
    inference(avatar_component_clause,[],[f3450]) ).

fof(f3454,definition,
    ( spl136_354
  <=> e21 = op2(e20,e22) ),
    introduced(definition,[new_symbols(definition,[spl136_354])],[avatar_definition]) ).

fof(f3456,plain,
    ( e21 = op2(e20,e22)
    | ~ spl136_354 ),
    inference(avatar_component_clause,[],[f3454]) ).

fof(f3458,definition,
    ( spl136_355
  <=> e21 = op2(e20,e23) ),
    introduced(definition,[new_symbols(definition,[spl136_355])],[avatar_definition]) ).

fof(f3460,plain,
    ( e21 = op2(e20,e23)
    | ~ spl136_355 ),
    inference(avatar_component_clause,[],[f3458]) ).

fof(f3461,plain,
    ( spl136_353
    | spl136_160
    | spl136_354
    | spl136_355 ),
    inference(avatar_split_clause,[],[f87,f3458,f3454,f2117,f3450]) ).

fof(f3463,definition,
    ( spl136_356
  <=> e21 = op2(e22,e20) ),
    introduced(definition,[new_symbols(definition,[spl136_356])],[avatar_definition]) ).

fof(f3465,plain,
    ( e21 = op2(e22,e20)
    | ~ spl136_356 ),
    inference(avatar_component_clause,[],[f3463]) ).

fof(f3472,definition,
    ( spl136_358
  <=> op2(e20,e20) = e22 ),
    introduced(definition,[new_symbols(definition,[spl136_358])],[avatar_definition]) ).

fof(f3474,plain,
    ( op2(e20,e20) = e22
    | ~ spl136_358 ),
    inference(avatar_component_clause,[],[f3472]) ).

fof(f3476,definition,
    ( spl136_359
  <=> e22 = op2(e20,e21) ),
    introduced(definition,[new_symbols(definition,[spl136_359])],[avatar_definition]) ).

fof(f3478,plain,
    ( e22 = op2(e20,e21)
    | ~ spl136_359 ),
    inference(avatar_component_clause,[],[f3476]) ).

fof(f3480,definition,
    ( spl136_360
  <=> e22 = op2(e20,e23) ),
    introduced(definition,[new_symbols(definition,[spl136_360])],[avatar_definition]) ).

fof(f3482,plain,
    ( e22 = op2(e20,e23)
    | ~ spl136_360 ),
    inference(avatar_component_clause,[],[f3480]) ).

fof(f3483,plain,
    ( spl136_358
    | spl136_359
    | spl136_171
    | spl136_360 ),
    inference(avatar_split_clause,[],[f89,f3480,f2177,f3476,f3472]) ).

fof(f3485,definition,
    ( spl136_361
  <=> e22 = op2(e21,e20) ),
    introduced(definition,[new_symbols(definition,[spl136_361])],[avatar_definition]) ).

fof(f3487,plain,
    ( e22 = op2(e21,e20)
    | ~ spl136_361 ),
    inference(avatar_component_clause,[],[f3485]) ).

fof(f3489,definition,
    ( spl136_362
  <=> e22 = op2(e23,e20) ),
    introduced(definition,[new_symbols(definition,[spl136_362])],[avatar_definition]) ).

fof(f3491,plain,
    ( e22 = op2(e23,e20)
    | ~ spl136_362 ),
    inference(avatar_component_clause,[],[f3489]) ).

fof(f3494,definition,
    ( spl136_363
  <=> op2(e20,e20) = e23 ),
    introduced(definition,[new_symbols(definition,[spl136_363])],[avatar_definition]) ).

fof(f3496,plain,
    ( op2(e20,e20) = e23
    | ~ spl136_363 ),
    inference(avatar_component_clause,[],[f3494]) ).

fof(f3498,definition,
    ( spl136_364
  <=> e23 = op2(e20,e21) ),
    introduced(definition,[new_symbols(definition,[spl136_364])],[avatar_definition]) ).

fof(f3500,plain,
    ( e23 = op2(e20,e21)
    | ~ spl136_364 ),
    inference(avatar_component_clause,[],[f3498]) ).

fof(f3502,definition,
    ( spl136_365
  <=> e23 = op2(e20,e22) ),
    introduced(definition,[new_symbols(definition,[spl136_365])],[avatar_definition]) ).

fof(f3504,plain,
    ( e23 = op2(e20,e22)
    | ~ spl136_365 ),
    inference(avatar_component_clause,[],[f3502]) ).

fof(f3507,definition,
    ( spl136_366
  <=> e23 = op2(e21,e20) ),
    introduced(definition,[new_symbols(definition,[spl136_366])],[avatar_definition]) ).

fof(f3509,plain,
    ( e23 = op2(e21,e20)
    | ~ spl136_366 ),
    inference(avatar_component_clause,[],[f3507]) ).

fof(f3511,definition,
    ( spl136_367
  <=> e23 = op2(e22,e20) ),
    introduced(definition,[new_symbols(definition,[spl136_367])],[avatar_definition]) ).

fof(f3513,plain,
    ( e23 = op2(e22,e20)
    | ~ spl136_367 ),
    inference(avatar_component_clause,[],[f3511]) ).

fof(f3514,plain,
    ( spl136_363
    | spl136_366
    | spl136_367
    | spl136_181 ),
    inference(avatar_split_clause,[],[f92,f2232,f3511,f3507,f3494]) ).

fof(f3516,definition,
    ( spl136_368
  <=> e20 = op2(e21,e21) ),
    introduced(definition,[new_symbols(definition,[spl136_368])],[avatar_definition]) ).

fof(f3518,plain,
    ( e20 = op2(e21,e21)
    | ~ spl136_368 ),
    inference(avatar_component_clause,[],[f3516]) ).

fof(f3520,definition,
    ( spl136_369
  <=> e20 = op2(e21,e22) ),
    introduced(definition,[new_symbols(definition,[spl136_369])],[avatar_definition]) ).

fof(f3524,definition,
    ( spl136_370
  <=> e20 = op2(e21,e23) ),
    introduced(definition,[new_symbols(definition,[spl136_370])],[avatar_definition]) ).

fof(f3529,definition,
    ( spl136_371
  <=> e20 = op2(e22,e21) ),
    introduced(definition,[new_symbols(definition,[spl136_371])],[avatar_definition]) ).

fof(f3533,definition,
    ( spl136_372
  <=> e20 = op2(e23,e21) ),
    introduced(definition,[new_symbols(definition,[spl136_372])],[avatar_definition]) ).

fof(f3538,plain,
    ( spl136_160
    | spl136_162
    | spl136_165
    | spl136_168 ),
    inference(avatar_split_clause,[],[f96,f2161,f2145,f2128,f2117]) ).

fof(f3540,definition,
    ( spl136_373
  <=> e22 = op2(e21,e21) ),
    introduced(definition,[new_symbols(definition,[spl136_373])],[avatar_definition]) ).

fof(f3542,plain,
    ( e22 = op2(e21,e21)
    | ~ spl136_373 ),
    inference(avatar_component_clause,[],[f3540]) ).

fof(f3544,definition,
    ( spl136_374
  <=> e22 = op2(e21,e23) ),
    introduced(definition,[new_symbols(definition,[spl136_374])],[avatar_definition]) ).

fof(f3546,plain,
    ( e22 = op2(e21,e23)
    | ~ spl136_374 ),
    inference(avatar_component_clause,[],[f3544]) ).

fof(f3547,plain,
    ( spl136_361
    | spl136_373
    | spl136_174
    | spl136_374 ),
    inference(avatar_split_clause,[],[f97,f3544,f2193,f3540,f3485]) ).

fof(f3549,definition,
    ( spl136_375
  <=> e22 = op2(e23,e21) ),
    introduced(definition,[new_symbols(definition,[spl136_375])],[avatar_definition]) ).

fof(f3551,plain,
    ( e22 = op2(e23,e21)
    | ~ spl136_375 ),
    inference(avatar_component_clause,[],[f3549]) ).

fof(f3552,plain,
    ( spl136_359
    | spl136_373
    | spl136_173
    | spl136_375 ),
    inference(avatar_split_clause,[],[f98,f3549,f2188,f3540,f3476]) ).

fof(f3554,definition,
    ( spl136_376
  <=> e23 = op2(e21,e21) ),
    introduced(definition,[new_symbols(definition,[spl136_376])],[avatar_definition]) ).

fof(f3556,plain,
    ( e23 = op2(e21,e21)
    | ~ spl136_376 ),
    inference(avatar_component_clause,[],[f3554]) ).

fof(f3558,definition,
    ( spl136_377
  <=> e23 = op2(e21,e22) ),
    introduced(definition,[new_symbols(definition,[spl136_377])],[avatar_definition]) ).

fof(f3560,plain,
    ( e23 = op2(e21,e22)
    | ~ spl136_377 ),
    inference(avatar_component_clause,[],[f3558]) ).

fof(f3561,plain,
    ( spl136_366
    | spl136_376
    | spl136_377
    | spl136_185 ),
    inference(avatar_split_clause,[],[f99,f2253,f3558,f3554,f3507]) ).

fof(f3563,definition,
    ( spl136_378
  <=> e23 = op2(e22,e21) ),
    introduced(definition,[new_symbols(definition,[spl136_378])],[avatar_definition]) ).

fof(f3565,plain,
    ( e23 = op2(e22,e21)
    | ~ spl136_378 ),
    inference(avatar_component_clause,[],[f3563]) ).

fof(f3568,definition,
    ( spl136_379
  <=> e20 = op2(e22,e22) ),
    introduced(definition,[new_symbols(definition,[spl136_379])],[avatar_definition]) ).

fof(f3570,plain,
    ( e20 = op2(e22,e22)
    | ~ spl136_379 ),
    inference(avatar_component_clause,[],[f3568]) ).

fof(f3572,definition,
    ( spl136_380
  <=> e20 = op2(e22,e23) ),
    introduced(definition,[new_symbols(definition,[spl136_380])],[avatar_definition]) ).

fof(f3574,plain,
    ( e20 = op2(e22,e23)
    | ~ spl136_380 ),
    inference(avatar_component_clause,[],[f3572]) ).

fof(f3575,plain,
    ( spl136_154
    | spl136_371
    | spl136_379
    | spl136_380 ),
    inference(avatar_split_clause,[],[f101,f3572,f3568,f3529,f2085]) ).

fof(f3577,definition,
    ( spl136_381
  <=> e20 = op2(e23,e22) ),
    introduced(definition,[new_symbols(definition,[spl136_381])],[avatar_definition]) ).

fof(f3579,plain,
    ( e20 = op2(e23,e22)
    | ~ spl136_381 ),
    inference(avatar_component_clause,[],[f3577]) ).

fof(f3580,plain,
    ( spl136_153
    | spl136_369
    | spl136_379
    | spl136_381 ),
    inference(avatar_split_clause,[],[f102,f3577,f3568,f3520,f2080]) ).

fof(f3582,definition,
    ( spl136_382
  <=> e21 = op2(e22,e22) ),
    introduced(definition,[new_symbols(definition,[spl136_382])],[avatar_definition]) ).

fof(f3584,plain,
    ( e21 = op2(e22,e22)
    | ~ spl136_382 ),
    inference(avatar_component_clause,[],[f3582]) ).

fof(f3586,definition,
    ( spl136_383
  <=> e21 = op2(e22,e23) ),
    introduced(definition,[new_symbols(definition,[spl136_383])],[avatar_definition]) ).

fof(f3588,plain,
    ( e21 = op2(e22,e23)
    | ~ spl136_383 ),
    inference(avatar_component_clause,[],[f3586]) ).

fof(f3589,plain,
    ( spl136_356
    | spl136_165
    | spl136_382
    | spl136_383 ),
    inference(avatar_split_clause,[],[f103,f3586,f3582,f2145,f3463]) ).

fof(f3596,plain,
    ( spl136_171
    | spl136_174
    | spl136_176
    | spl136_179 ),
    inference(avatar_split_clause,[],[f106,f2221,f2204,f2193,f2177]) ).

fof(f3598,definition,
    ( spl136_385
  <=> e23 = op2(e22,e22) ),
    introduced(definition,[new_symbols(definition,[spl136_385])],[avatar_definition]) ).

fof(f3600,plain,
    ( e23 = op2(e22,e22)
    | ~ spl136_385 ),
    inference(avatar_component_clause,[],[f3598]) ).

fof(f3601,plain,
    ( spl136_367
    | spl136_378
    | spl136_385
    | spl136_188 ),
    inference(avatar_split_clause,[],[f107,f2269,f3598,f3563,f3511]) ).

fof(f3602,plain,
    ( spl136_365
    | spl136_377
    | spl136_385
    | spl136_187 ),
    inference(avatar_split_clause,[],[f108,f2264,f3598,f3558,f3502]) ).

fof(f3604,definition,
    ( spl136_386
  <=> e20 = op2(e23,e23) ),
    introduced(definition,[new_symbols(definition,[spl136_386])],[avatar_definition]) ).

fof(f3606,plain,
    ( e20 = op2(e23,e23)
    | ~ spl136_386 ),
    inference(avatar_component_clause,[],[f3604]) ).

fof(f3607,plain,
    ( spl136_157
    | spl136_372
    | spl136_381
    | spl136_386 ),
    inference(avatar_split_clause,[],[f109,f3604,f3577,f3533,f2101]) ).

fof(f3608,plain,
    ( spl136_156
    | spl136_370
    | spl136_380
    | spl136_386 ),
    inference(avatar_split_clause,[],[f110,f3604,f3572,f3524,f2096]) ).

fof(f3616,definition,
    ( spl136_388
  <=> e22 = op2(e23,e23) ),
    introduced(definition,[new_symbols(definition,[spl136_388])],[avatar_definition]) ).

fof(f3618,plain,
    ( e22 = op2(e23,e23)
    | ~ spl136_388 ),
    inference(avatar_component_clause,[],[f3616]) ).

fof(f3620,plain,
    ( spl136_360
    | spl136_374
    | spl136_178
    | spl136_388 ),
    inference(avatar_split_clause,[],[f114,f3616,f2216,f3544,f3480]) ).

fof(f3621,plain,
    ( spl136_181
    | spl136_184
    | spl136_187
    | spl136_190 ),
    inference(avatar_split_clause,[],[f115,f2280,f2264,f2248,f2232]) ).

fof(f3622,plain,
    ( spl136_182
    | spl136_185
    | spl136_188
    | spl136_190 ),
    inference(avatar_split_clause,[],[f116,f2280,f2269,f2253,f2237]) ).

fof(f3631,plain,
    ( spl136_154
    | spl136_356
    | spl136_170
    | spl136_367 ),
    inference(avatar_split_clause,[],[f77,f3511,f2172,f3463,f2085]) ).

fof(f3636,plain,
    ( spl136_372
    | spl136_168
    | spl136_375
    | spl136_184 ),
    inference(avatar_split_clause,[],[f82,f2248,f3549,f2161,f3533]) ).

fof(f3639,plain,
    ( spl136_256
    | spl136_258
    | spl136_261
    | spl136_264 ),
    inference(avatar_split_clause,[],[f37,f2820,f2804,f2788,f2776]) ).

fof(f3640,plain,
    ( spl136_256
    | spl136_259
    | spl136_262
    | spl136_265 ),
    inference(avatar_split_clause,[],[f38,f2825,f2809,f2793,f2776]) ).

fof(f3642,definition,
    ( spl136_389
  <=> op1(e10,e10) = e11 ),
    introduced(definition,[new_symbols(definition,[spl136_389])],[avatar_definition]) ).

fof(f3644,plain,
    ( op1(e10,e10) = e11
    | ~ spl136_389 ),
    inference(avatar_component_clause,[],[f3642]) ).

fof(f3646,definition,
    ( spl136_390
  <=> e11 = op1(e10,e12) ),
    introduced(definition,[new_symbols(definition,[spl136_390])],[avatar_definition]) ).

fof(f3648,plain,
    ( e11 = op1(e10,e12)
    | ~ spl136_390 ),
    inference(avatar_component_clause,[],[f3646]) ).

fof(f3650,definition,
    ( spl136_391
  <=> e11 = op1(e10,e13) ),
    introduced(definition,[new_symbols(definition,[spl136_391])],[avatar_definition]) ).

fof(f3652,plain,
    ( e11 = op1(e10,e13)
    | ~ spl136_391 ),
    inference(avatar_component_clause,[],[f3650]) ).

fof(f3653,plain,
    ( spl136_389
    | spl136_268
    | spl136_390
    | spl136_391 ),
    inference(avatar_split_clause,[],[f39,f3650,f3646,f2841,f3642]) ).

fof(f3655,definition,
    ( spl136_392
  <=> e11 = op1(e12,e10) ),
    introduced(definition,[new_symbols(definition,[spl136_392])],[avatar_definition]) ).

fof(f3657,plain,
    ( e11 = op1(e12,e10)
    | ~ spl136_392 ),
    inference(avatar_component_clause,[],[f3655]) ).

fof(f3659,definition,
    ( spl136_393
  <=> e11 = op1(e13,e10) ),
    introduced(definition,[new_symbols(definition,[spl136_393])],[avatar_definition]) ).

fof(f3661,plain,
    ( e11 = op1(e13,e10)
    | ~ spl136_393 ),
    inference(avatar_component_clause,[],[f3659]) ).

fof(f3662,plain,
    ( spl136_389
    | spl136_267
    | spl136_392
    | spl136_393 ),
    inference(avatar_split_clause,[],[f40,f3659,f3655,f2836,f3642]) ).

fof(f3664,definition,
    ( spl136_394
  <=> op1(e10,e10) = e12 ),
    introduced(definition,[new_symbols(definition,[spl136_394])],[avatar_definition]) ).

fof(f3666,plain,
    ( op1(e10,e10) = e12
    | ~ spl136_394 ),
    inference(avatar_component_clause,[],[f3664]) ).

fof(f3668,definition,
    ( spl136_395
  <=> e12 = op1(e10,e11) ),
    introduced(definition,[new_symbols(definition,[spl136_395])],[avatar_definition]) ).

fof(f3670,plain,
    ( e12 = op1(e10,e11)
    | ~ spl136_395 ),
    inference(avatar_component_clause,[],[f3668]) ).

fof(f3672,definition,
    ( spl136_396
  <=> e12 = op1(e10,e13) ),
    introduced(definition,[new_symbols(definition,[spl136_396])],[avatar_definition]) ).

fof(f3674,plain,
    ( e12 = op1(e10,e13)
    | ~ spl136_396 ),
    inference(avatar_component_clause,[],[f3672]) ).

fof(f3675,plain,
    ( spl136_394
    | spl136_395
    | spl136_279
    | spl136_396 ),
    inference(avatar_split_clause,[],[f41,f3672,f2901,f3668,f3664]) ).

fof(f3677,definition,
    ( spl136_397
  <=> e12 = op1(e11,e10) ),
    introduced(definition,[new_symbols(definition,[spl136_397])],[avatar_definition]) ).

fof(f3679,plain,
    ( e12 = op1(e11,e10)
    | ~ spl136_397 ),
    inference(avatar_component_clause,[],[f3677]) ).

fof(f3681,definition,
    ( spl136_398
  <=> e12 = op1(e13,e10) ),
    introduced(definition,[new_symbols(definition,[spl136_398])],[avatar_definition]) ).

fof(f3683,plain,
    ( e12 = op1(e13,e10)
    | ~ spl136_398 ),
    inference(avatar_component_clause,[],[f3681]) ).

fof(f3684,plain,
    ( spl136_394
    | spl136_397
    | spl136_278
    | spl136_398 ),
    inference(avatar_split_clause,[],[f42,f3681,f2896,f3677,f3664]) ).

fof(f3686,definition,
    ( spl136_399
  <=> op1(e10,e10) = e13 ),
    introduced(definition,[new_symbols(definition,[spl136_399])],[avatar_definition]) ).

fof(f3688,plain,
    ( op1(e10,e10) = e13
    | ~ spl136_399 ),
    inference(avatar_component_clause,[],[f3686]) ).

fof(f3690,definition,
    ( spl136_400
  <=> e13 = op1(e10,e11) ),
    introduced(definition,[new_symbols(definition,[spl136_400])],[avatar_definition]) ).

fof(f3692,plain,
    ( e13 = op1(e10,e11)
    | ~ spl136_400 ),
    inference(avatar_component_clause,[],[f3690]) ).

fof(f3694,definition,
    ( spl136_401
  <=> e13 = op1(e10,e12) ),
    introduced(definition,[new_symbols(definition,[spl136_401])],[avatar_definition]) ).

fof(f3696,plain,
    ( e13 = op1(e10,e12)
    | ~ spl136_401 ),
    inference(avatar_component_clause,[],[f3694]) ).

fof(f3699,definition,
    ( spl136_402
  <=> e13 = op1(e11,e10) ),
    introduced(definition,[new_symbols(definition,[spl136_402])],[avatar_definition]) ).

fof(f3701,plain,
    ( e13 = op1(e11,e10)
    | ~ spl136_402 ),
    inference(avatar_component_clause,[],[f3699]) ).

fof(f3703,definition,
    ( spl136_403
  <=> e13 = op1(e12,e10) ),
    introduced(definition,[new_symbols(definition,[spl136_403])],[avatar_definition]) ).

fof(f3705,plain,
    ( e13 = op1(e12,e10)
    | ~ spl136_403 ),
    inference(avatar_component_clause,[],[f3703]) ).

fof(f3706,plain,
    ( spl136_399
    | spl136_402
    | spl136_403
    | spl136_289 ),
    inference(avatar_split_clause,[],[f44,f2956,f3703,f3699,f3686]) ).

fof(f3708,definition,
    ( spl136_404
  <=> e10 = op1(e11,e11) ),
    introduced(definition,[new_symbols(definition,[spl136_404])],[avatar_definition]) ).

fof(f3710,plain,
    ( e10 = op1(e11,e11)
    | ~ spl136_404 ),
    inference(avatar_component_clause,[],[f3708]) ).

fof(f3712,definition,
    ( spl136_405
  <=> e10 = op1(e11,e12) ),
    introduced(definition,[new_symbols(definition,[spl136_405])],[avatar_definition]) ).

fof(f3716,definition,
    ( spl136_406
  <=> e10 = op1(e11,e13) ),
    introduced(definition,[new_symbols(definition,[spl136_406])],[avatar_definition]) ).

fof(f3721,definition,
    ( spl136_407
  <=> e10 = op1(e12,e11) ),
    introduced(definition,[new_symbols(definition,[spl136_407])],[avatar_definition]) ).

fof(f3725,definition,
    ( spl136_408
  <=> e10 = op1(e13,e11) ),
    introduced(definition,[new_symbols(definition,[spl136_408])],[avatar_definition]) ).

fof(f3729,plain,
    ( spl136_267
    | spl136_270
    | spl136_272
    | spl136_275 ),
    inference(avatar_split_clause,[],[f47,f2880,f2864,f2852,f2836]) ).

fof(f3730,plain,
    ( spl136_268
    | spl136_270
    | spl136_273
    | spl136_276 ),
    inference(avatar_split_clause,[],[f48,f2885,f2869,f2852,f2841]) ).

fof(f3732,definition,
    ( spl136_409
  <=> e12 = op1(e11,e11) ),
    introduced(definition,[new_symbols(definition,[spl136_409])],[avatar_definition]) ).

fof(f3734,plain,
    ( e12 = op1(e11,e11)
    | ~ spl136_409 ),
    inference(avatar_component_clause,[],[f3732]) ).

fof(f3736,definition,
    ( spl136_410
  <=> e12 = op1(e11,e13) ),
    introduced(definition,[new_symbols(definition,[spl136_410])],[avatar_definition]) ).

fof(f3738,plain,
    ( e12 = op1(e11,e13)
    | ~ spl136_410 ),
    inference(avatar_component_clause,[],[f3736]) ).

fof(f3739,plain,
    ( spl136_397
    | spl136_409
    | spl136_282
    | spl136_410 ),
    inference(avatar_split_clause,[],[f49,f3736,f2917,f3732,f3677]) ).

fof(f3741,definition,
    ( spl136_411
  <=> e12 = op1(e13,e11) ),
    introduced(definition,[new_symbols(definition,[spl136_411])],[avatar_definition]) ).

fof(f3743,plain,
    ( e12 = op1(e13,e11)
    | ~ spl136_411 ),
    inference(avatar_component_clause,[],[f3741]) ).

fof(f3744,plain,
    ( spl136_395
    | spl136_409
    | spl136_281
    | spl136_411 ),
    inference(avatar_split_clause,[],[f50,f3741,f2912,f3732,f3668]) ).

fof(f3746,definition,
    ( spl136_412
  <=> e13 = op1(e11,e11) ),
    introduced(definition,[new_symbols(definition,[spl136_412])],[avatar_definition]) ).

fof(f3748,plain,
    ( e13 = op1(e11,e11)
    | ~ spl136_412 ),
    inference(avatar_component_clause,[],[f3746]) ).

fof(f3750,definition,
    ( spl136_413
  <=> e13 = op1(e11,e12) ),
    introduced(definition,[new_symbols(definition,[spl136_413])],[avatar_definition]) ).

fof(f3752,plain,
    ( e13 = op1(e11,e12)
    | ~ spl136_413 ),
    inference(avatar_component_clause,[],[f3750]) ).

fof(f3753,plain,
    ( spl136_402
    | spl136_412
    | spl136_413
    | spl136_293 ),
    inference(avatar_split_clause,[],[f51,f2977,f3750,f3746,f3699]) ).

fof(f3755,definition,
    ( spl136_414
  <=> e13 = op1(e12,e11) ),
    introduced(definition,[new_symbols(definition,[spl136_414])],[avatar_definition]) ).

fof(f3757,plain,
    ( e13 = op1(e12,e11)
    | ~ spl136_414 ),
    inference(avatar_component_clause,[],[f3755]) ).

fof(f3760,definition,
    ( spl136_415
  <=> e10 = op1(e12,e12) ),
    introduced(definition,[new_symbols(definition,[spl136_415])],[avatar_definition]) ).

fof(f3762,plain,
    ( e10 = op1(e12,e12)
    | ~ spl136_415 ),
    inference(avatar_component_clause,[],[f3760]) ).

fof(f3764,definition,
    ( spl136_416
  <=> e10 = op1(e12,e13) ),
    introduced(definition,[new_symbols(definition,[spl136_416])],[avatar_definition]) ).

fof(f3766,plain,
    ( e10 = op1(e12,e13)
    | ~ spl136_416 ),
    inference(avatar_component_clause,[],[f3764]) ).

fof(f3767,plain,
    ( spl136_262
    | spl136_407
    | spl136_415
    | spl136_416 ),
    inference(avatar_split_clause,[],[f53,f3764,f3760,f3721,f2809]) ).

fof(f3769,definition,
    ( spl136_417
  <=> e10 = op1(e13,e12) ),
    introduced(definition,[new_symbols(definition,[spl136_417])],[avatar_definition]) ).

fof(f3771,plain,
    ( e10 = op1(e13,e12)
    | ~ spl136_417 ),
    inference(avatar_component_clause,[],[f3769]) ).

fof(f3772,plain,
    ( spl136_261
    | spl136_405
    | spl136_415
    | spl136_417 ),
    inference(avatar_split_clause,[],[f54,f3769,f3760,f3712,f2804]) ).

fof(f3774,definition,
    ( spl136_418
  <=> e11 = op1(e12,e12) ),
    introduced(definition,[new_symbols(definition,[spl136_418])],[avatar_definition]) ).

fof(f3776,plain,
    ( e11 = op1(e12,e12)
    | ~ spl136_418 ),
    inference(avatar_component_clause,[],[f3774]) ).

fof(f3778,definition,
    ( spl136_419
  <=> e11 = op1(e12,e13) ),
    introduced(definition,[new_symbols(definition,[spl136_419])],[avatar_definition]) ).

fof(f3780,plain,
    ( e11 = op1(e12,e13)
    | ~ spl136_419 ),
    inference(avatar_component_clause,[],[f3778]) ).

fof(f3781,plain,
    ( spl136_392
    | spl136_273
    | spl136_418
    | spl136_419 ),
    inference(avatar_split_clause,[],[f55,f3778,f3774,f2869,f3655]) ).

fof(f3783,definition,
    ( spl136_420
  <=> e11 = op1(e13,e12) ),
    introduced(definition,[new_symbols(definition,[spl136_420])],[avatar_definition]) ).

fof(f3785,plain,
    ( e11 = op1(e13,e12)
    | ~ spl136_420 ),
    inference(avatar_component_clause,[],[f3783]) ).

fof(f3786,plain,
    ( spl136_390
    | spl136_272
    | spl136_418
    | spl136_420 ),
    inference(avatar_split_clause,[],[f56,f3783,f3774,f2864,f3646]) ).

fof(f3788,plain,
    ( spl136_279
    | spl136_282
    | spl136_284
    | spl136_287 ),
    inference(avatar_split_clause,[],[f58,f2945,f2928,f2917,f2901]) ).

fof(f3790,definition,
    ( spl136_421
  <=> e13 = op1(e12,e12) ),
    introduced(definition,[new_symbols(definition,[spl136_421])],[avatar_definition]) ).

fof(f3792,plain,
    ( e13 = op1(e12,e12)
    | ~ spl136_421 ),
    inference(avatar_component_clause,[],[f3790]) ).

fof(f3793,plain,
    ( spl136_403
    | spl136_414
    | spl136_421
    | spl136_296 ),
    inference(avatar_split_clause,[],[f59,f2993,f3790,f3755,f3703]) ).

fof(f3794,plain,
    ( spl136_401
    | spl136_413
    | spl136_421
    | spl136_295 ),
    inference(avatar_split_clause,[],[f60,f2988,f3790,f3750,f3694]) ).

fof(f3796,definition,
    ( spl136_422
  <=> e10 = op1(e13,e13) ),
    introduced(definition,[new_symbols(definition,[spl136_422])],[avatar_definition]) ).

fof(f3798,plain,
    ( e10 = op1(e13,e13)
    | ~ spl136_422 ),
    inference(avatar_component_clause,[],[f3796]) ).

fof(f3799,plain,
    ( spl136_265
    | spl136_408
    | spl136_417
    | spl136_422 ),
    inference(avatar_split_clause,[],[f61,f3796,f3769,f3725,f2825]) ).

fof(f3800,plain,
    ( spl136_264
    | spl136_406
    | spl136_416
    | spl136_422 ),
    inference(avatar_split_clause,[],[f62,f3796,f3764,f3716,f2820]) ).

fof(f3802,definition,
    ( spl136_423
  <=> e11 = op1(e13,e13) ),
    introduced(definition,[new_symbols(definition,[spl136_423])],[avatar_definition]) ).

fof(f3804,plain,
    ( e11 = op1(e13,e13)
    | ~ spl136_423 ),
    inference(avatar_component_clause,[],[f3802]) ).

fof(f3806,plain,
    ( spl136_391
    | spl136_275
    | spl136_419
    | spl136_423 ),
    inference(avatar_split_clause,[],[f64,f3802,f3778,f2880,f3650]) ).

fof(f3808,definition,
    ( spl136_424
  <=> e12 = op1(e13,e13) ),
    introduced(definition,[new_symbols(definition,[spl136_424])],[avatar_definition]) ).

fof(f3810,plain,
    ( e12 = op1(e13,e13)
    | ~ spl136_424 ),
    inference(avatar_component_clause,[],[f3808]) ).

fof(f3811,plain,
    ( spl136_398
    | spl136_411
    | spl136_287
    | spl136_424 ),
    inference(avatar_split_clause,[],[f65,f3808,f2945,f3741,f3681]) ).

fof(f3813,plain,
    ( spl136_289
    | spl136_292
    | spl136_295
    | spl136_298 ),
    inference(avatar_split_clause,[],[f67,f3004,f2988,f2972,f2956]) ).

fof(f3814,plain,
    ( spl136_290
    | spl136_293
    | spl136_296
    | spl136_298 ),
    inference(avatar_split_clause,[],[f68,f3004,f2993,f2977,f2961]) ).

fof(f3821,plain,
    ( spl136_405
    | spl136_272
    | spl136_282
    | spl136_413 ),
    inference(avatar_split_clause,[],[f27,f3750,f2917,f2864,f3712]) ).

fof(f3822,plain,
    ( spl136_406
    | spl136_275
    | spl136_410
    | spl136_293 ),
    inference(avatar_split_clause,[],[f28,f2977,f3736,f2880,f3716]) ).

fof(f3831,plain,
    ( e20 != e21
    | spl136_14
    | ~ spl136_19 ),
    inference(superposition,[],[f1420,f1443]) ).

fof(f3832,plain,
    ( e21 != e22
    | spl136_29
    | ~ spl136_108 ),
    inference(superposition,[],[f1492,f1851]) ).

fof(f3836,plain,
    ( h2(op1(e12,e11)) != op2(h2(e12),e21)
    | ~ spl136_19
    | spl136_74 ),
    inference(forward_demodulation,[],[f1698,f1443]) ).

fof(f3837,plain,
    spl136_404,
    inference(avatar_split_clause,[],[f827,f3708]) ).

fof(f3838,plain,
    spl136_368,
    inference(avatar_split_clause,[],[f830,f3516]) ).

fof(f3839,plain,
    ( e20 = e21
    | ~ spl136_151
    | ~ spl136_159 ),
    inference(superposition,[],[f2114,f2071]) ).

fof(f3843,plain,
    ( $false
    | spl136_14
    | ~ spl136_19
    | ~ spl136_151
    | ~ spl136_159 ),
    inference(forward_subsumption_resolution,[],[f3839,f3831]) ).

fof(f3844,plain,
    ( spl136_14
    | ~ spl136_19
    | ~ spl136_151
    | ~ spl136_159 ),
    inference(avatar_contradiction_clause,[],[f3843]) ).

fof(f3845,plain,
    ( e20 = e21
    | ~ spl136_14
    | ~ spl136_19 ),
    inference(forward_demodulation,[],[f1419,f1443]) ).

fof(f3868,plain,
    ( $false
    | ~ spl136_14
    | ~ spl136_19 ),
    inference(forward_subsumption_resolution,[],[f224,f3845]) ).

fof(f3869,plain,
    ( ~ spl136_14
    | ~ spl136_19 ),
    inference(avatar_contradiction_clause,[],[f3868]) ).

fof(f3870,plain,
    ( e20 != e21
    | spl136_14
    | ~ spl136_19 ),
    inference(forward_demodulation,[],[f1420,f1443]) ).

fof(f3885,plain,
    ( e20 = e22
    | ~ spl136_24
    | ~ spl136_108 ),
    inference(forward_demodulation,[],[f1467,f1851]) ).

fof(f3890,plain,
    ( e22 = op2(e22,e22)
    | ~ spl136_24
    | ~ spl136_108
    | ~ spl136_148 ),
    inference(superposition,[],[f2054,f3885]) ).

fof(f3894,plain,
    ( e22 = op2(e22,e22)
    | ~ spl136_24
    | ~ spl136_108
    | ~ spl136_154 ),
    inference(superposition,[],[f2087,f3885]) ).

fof(f3896,plain,
    ( e22 = op2(e23,e22)
    | ~ spl136_24
    | ~ spl136_108
    | ~ spl136_157 ),
    inference(superposition,[],[f2103,f3885]) ).

fof(f3898,plain,
    ( e21 != op2(e22,e21)
    | ~ spl136_24
    | ~ spl136_108
    | spl136_160 ),
    inference(superposition,[],[f2118,f3885]) ).

fof(f3907,plain,
    ( spl136_179
    | ~ spl136_24
    | ~ spl136_108
    | ~ spl136_157 ),
    inference(avatar_split_clause,[],[f3896,f2101,f1850,f1466,f2221]) ).

fof(f3909,plain,
    ( spl136_176
    | ~ spl136_24
    | ~ spl136_108
    | ~ spl136_154 ),
    inference(avatar_split_clause,[],[f3894,f2085,f1850,f1466,f2204]) ).

fof(f3913,plain,
    ( spl136_176
    | ~ spl136_24
    | ~ spl136_108
    | ~ spl136_148 ),
    inference(avatar_split_clause,[],[f3890,f2052,f1850,f1466,f2204]) ).

fof(f3916,plain,
    ( ~ spl136_165
    | ~ spl136_24
    | ~ spl136_108
    | spl136_160 ),
    inference(avatar_split_clause,[],[f3898,f2117,f1850,f1466,f2145]) ).

fof(f3921,plain,
    ( e20 != e22
    | spl136_24
    | ~ spl136_108 ),
    inference(forward_demodulation,[],[f1468,f1851]) ).

fof(f3923,plain,
    ( e20 = e22
    | ~ spl136_153
    | ~ spl136_171 ),
    inference(superposition,[],[f2179,f2082]) ).

fof(f3927,plain,
    ( $false
    | spl136_24
    | ~ spl136_108
    | ~ spl136_153
    | ~ spl136_171 ),
    inference(forward_subsumption_resolution,[],[f3923,f3921]) ).

fof(f3928,plain,
    ( spl136_24
    | ~ spl136_108
    | ~ spl136_153
    | ~ spl136_171 ),
    inference(avatar_contradiction_clause,[],[f3927]) ).

fof(f3931,plain,
    ( e21 = e22
    | ~ spl136_164
    | ~ spl136_174 ),
    inference(superposition,[],[f2195,f2142]) ).

fof(f3935,plain,
    ( $false
    | spl136_29
    | ~ spl136_108
    | ~ spl136_164
    | ~ spl136_174 ),
    inference(forward_subsumption_resolution,[],[f3931,f3832]) ).

fof(f3936,plain,
    ( spl136_29
    | ~ spl136_108
    | ~ spl136_164
    | ~ spl136_174 ),
    inference(avatar_contradiction_clause,[],[f3935]) ).

fof(f3937,plain,
    ( e21 = e22
    | ~ spl136_29
    | ~ spl136_108 ),
    inference(forward_demodulation,[],[f1491,f1851]) ).

fof(f3962,plain,
    ( e21 = e22
    | ~ spl136_165
    | ~ spl136_173 ),
    inference(forward_demodulation,[],[f2147,f2190]) ).

fof(f3963,plain,
    ( $false
    | ~ spl136_29
    | ~ spl136_108 ),
    inference(forward_subsumption_resolution,[],[f221,f3937]) ).

fof(f3964,plain,
    ( ~ spl136_29
    | ~ spl136_108 ),
    inference(avatar_contradiction_clause,[],[f3963]) ).

fof(f3965,plain,
    ( e21 != e22
    | spl136_29
    | ~ spl136_108 ),
    inference(forward_demodulation,[],[f1492,f1851]) ).

fof(f3966,plain,
    ( $false
    | spl136_29
    | ~ spl136_108
    | ~ spl136_165
    | ~ spl136_173 ),
    inference(forward_subsumption_resolution,[],[f3962,f3965]) ).

fof(f3967,plain,
    ( spl136_29
    | ~ spl136_108
    | ~ spl136_165
    | ~ spl136_173 ),
    inference(avatar_contradiction_clause,[],[f3966]) ).

fof(f3976,plain,
    ( e20 = e23
    | ~ spl136_34
    | ~ spl136_134 ),
    inference(forward_demodulation,[],[f1515,f1973]) ).

fof(f3983,plain,
    ( e23 = op2(e23,e21)
    | ~ spl136_34
    | ~ spl136_134
    | ~ spl136_150 ),
    inference(superposition,[],[f2066,f3976]) ).

fof(f3990,plain,
    ( e21 != op2(e23,e21)
    | ~ spl136_34
    | ~ spl136_134
    | spl136_160 ),
    inference(superposition,[],[f2118,f3976]) ).

fof(f4001,plain,
    ( $false
    | ~ spl136_34
    | ~ spl136_134
    | spl136_160
    | ~ spl136_168 ),
    inference(forward_subsumption_resolution,[],[f3990,f2163]) ).

fof(f4002,plain,
    ( ~ spl136_34
    | ~ spl136_134
    | spl136_160
    | ~ spl136_168 ),
    inference(avatar_contradiction_clause,[],[f4001]) ).

fof(f4010,plain,
    ( spl136_184
    | ~ spl136_34
    | ~ spl136_134
    | ~ spl136_150 ),
    inference(avatar_split_clause,[],[f3983,f2064,f1972,f1514,f2248]) ).

fof(f4016,plain,
    ( e22 = e23
    | ~ spl136_181
    | ~ spl136_362 ),
    inference(forward_demodulation,[],[f3491,f2234]) ).

fof(f4023,plain,
    ( $false
    | ~ spl136_181
    | ~ spl136_362 ),
    inference(forward_subsumption_resolution,[],[f4016,f219]) ).

fof(f4024,plain,
    ( ~ spl136_181
    | ~ spl136_362 ),
    inference(avatar_contradiction_clause,[],[f4023]) ).

fof(f4025,plain,
    ( e20 != e23
    | spl136_34
    | ~ spl136_134 ),
    inference(forward_demodulation,[],[f1516,f1973]) ).

fof(f4035,plain,
    ( e21 = e23
    | ~ spl136_168
    | ~ spl136_184 ),
    inference(superposition,[],[f2250,f2163]) ).

fof(f4039,plain,
    ( $false
    | ~ spl136_168
    | ~ spl136_184 ),
    inference(forward_subsumption_resolution,[],[f4035,f220]) ).

fof(f4040,plain,
    ( ~ spl136_168
    | ~ spl136_184 ),
    inference(avatar_contradiction_clause,[],[f4039]) ).

fof(f4044,plain,
    ( e22 = e23
    | ~ spl136_178
    | ~ spl136_188 ),
    inference(superposition,[],[f2271,f2218]) ).

fof(f4048,plain,
    ( $false
    | ~ spl136_178
    | ~ spl136_188 ),
    inference(forward_subsumption_resolution,[],[f4044,f219]) ).

fof(f4049,plain,
    ( ~ spl136_178
    | ~ spl136_188 ),
    inference(avatar_contradiction_clause,[],[f4048]) ).

fof(f4054,plain,
    ( e10 = e11
    | ~ spl136_259
    | ~ spl136_267 ),
    inference(superposition,[],[f2838,f2795]) ).

fof(f4058,plain,
    ( $false
    | ~ spl136_259
    | ~ spl136_267 ),
    inference(forward_subsumption_resolution,[],[f4054,f218]) ).

fof(f4059,plain,
    ( ~ spl136_259
    | ~ spl136_267 ),
    inference(avatar_contradiction_clause,[],[f4058]) ).

fof(f4076,plain,
    ( e10 = e12
    | ~ spl136_262
    | ~ spl136_278 ),
    inference(superposition,[],[f2898,f2811]) ).

fof(f4080,plain,
    ( $false
    | ~ spl136_262
    | ~ spl136_278 ),
    inference(forward_subsumption_resolution,[],[f4076,f217]) ).

fof(f4081,plain,
    ( ~ spl136_262
    | ~ spl136_278 ),
    inference(avatar_contradiction_clause,[],[f4080]) ).

fof(f4083,plain,
    ( e10 = e12
    | ~ spl136_261
    | ~ spl136_279 ),
    inference(superposition,[],[f2903,f2806]) ).

fof(f4087,plain,
    ( $false
    | ~ spl136_261
    | ~ spl136_279 ),
    inference(forward_subsumption_resolution,[],[f4083,f217]) ).

fof(f4088,plain,
    ( ~ spl136_261
    | ~ spl136_279 ),
    inference(avatar_contradiction_clause,[],[f4087]) ).

fof(f4090,plain,
    ( e11 = e12
    | ~ spl136_273
    | ~ spl136_281 ),
    inference(superposition,[],[f2914,f2871]) ).

fof(f4092,plain,
    ( h2(e12) != op2(h2(e12),e21)
    | ~ spl136_19
    | spl136_74
    | ~ spl136_281 ),
    inference(superposition,[],[f3836,f2914]) ).

fof(f4095,plain,
    ( $false
    | ~ spl136_273
    | ~ spl136_281 ),
    inference(forward_subsumption_resolution,[],[f4090,f215]) ).

fof(f4096,plain,
    ( ~ spl136_273
    | ~ spl136_281 ),
    inference(avatar_contradiction_clause,[],[f4095]) ).

fof(f4098,plain,
    ( e11 = e12
    | ~ spl136_272
    | ~ spl136_282 ),
    inference(superposition,[],[f2919,f2866]) ).

fof(f4099,plain,
    ( e11 = e12
    | ~ spl136_272
    | ~ spl136_282 ),
    inference(superposition,[],[f2866,f2919]) ).

fof(f4100,plain,
    ( $false
    | ~ spl136_272
    | ~ spl136_282 ),
    inference(forward_subsumption_resolution,[],[f4099,f215]) ).

fof(f4101,plain,
    ( ~ spl136_272
    | ~ spl136_282 ),
    inference(avatar_contradiction_clause,[],[f4100]) ).

fof(f4102,plain,
    ( $false
    | ~ spl136_272
    | ~ spl136_282 ),
    inference(forward_subsumption_resolution,[],[f4098,f215]) ).

fof(f4103,plain,
    ( ~ spl136_272
    | ~ spl136_282 ),
    inference(avatar_contradiction_clause,[],[f4102]) ).

fof(f4105,plain,
    ( e10 = e13
    | ~ spl136_265
    | ~ spl136_289 ),
    inference(superposition,[],[f2958,f2827]) ).

fof(f4106,plain,
    ( e10 = e13
    | ~ spl136_265
    | ~ spl136_289 ),
    inference(superposition,[],[f2827,f2958]) ).

fof(f4107,plain,
    ( $false
    | ~ spl136_265
    | ~ spl136_289 ),
    inference(forward_subsumption_resolution,[],[f4106,f216]) ).

fof(f4108,plain,
    ( ~ spl136_265
    | ~ spl136_289 ),
    inference(avatar_contradiction_clause,[],[f4107]) ).

fof(f4109,plain,
    ( $false
    | ~ spl136_265
    | ~ spl136_289 ),
    inference(forward_subsumption_resolution,[],[f4105,f216]) ).

fof(f4110,plain,
    ( ~ spl136_265
    | ~ spl136_289 ),
    inference(avatar_contradiction_clause,[],[f4109]) ).

fof(f4116,plain,
    ( e10 = e12
    | ~ spl136_287
    | ~ spl136_417 ),
    inference(forward_demodulation,[],[f3771,f2947]) ).

fof(f4117,plain,
    ( $false
    | ~ spl136_287
    | ~ spl136_417 ),
    inference(forward_subsumption_resolution,[],[f4116,f217]) ).

fof(f4118,plain,
    ( ~ spl136_287
    | ~ spl136_417 ),
    inference(avatar_contradiction_clause,[],[f4117]) ).

fof(f4120,plain,
    ( e10 = e13
    | ~ spl136_264
    | ~ spl136_290 ),
    inference(superposition,[],[f2963,f2822]) ).

fof(f4124,plain,
    ( $false
    | ~ spl136_264
    | ~ spl136_290 ),
    inference(forward_subsumption_resolution,[],[f4120,f216]) ).

fof(f4125,plain,
    ( ~ spl136_264
    | ~ spl136_290 ),
    inference(avatar_contradiction_clause,[],[f4124]) ).

fof(f4127,plain,
    ( e11 = e13
    | ~ spl136_276
    | ~ spl136_292 ),
    inference(superposition,[],[f2974,f2887]) ).

fof(f4131,plain,
    ( $false
    | ~ spl136_276
    | ~ spl136_292 ),
    inference(forward_subsumption_resolution,[],[f4127,f214]) ).

fof(f4132,plain,
    ( ~ spl136_276
    | ~ spl136_292 ),
    inference(avatar_contradiction_clause,[],[f4131]) ).

fof(f4134,plain,
    ( e11 = e12
    | ~ spl136_287
    | ~ spl136_420 ),
    inference(forward_demodulation,[],[f3785,f2947]) ).

fof(f4136,plain,
    ( $false
    | ~ spl136_287
    | ~ spl136_420 ),
    inference(forward_subsumption_resolution,[],[f4134,f215]) ).

fof(f4137,plain,
    ( ~ spl136_287
    | ~ spl136_420 ),
    inference(avatar_contradiction_clause,[],[f4136]) ).

fof(f4138,plain,
    ( e11 = e13
    | ~ spl136_275
    | ~ spl136_293 ),
    inference(superposition,[],[f2979,f2882]) ).

fof(f4139,plain,
    ( e11 = e13
    | ~ spl136_275
    | ~ spl136_293 ),
    inference(superposition,[],[f2882,f2979]) ).

fof(f4140,plain,
    ( $false
    | ~ spl136_275
    | ~ spl136_293 ),
    inference(forward_subsumption_resolution,[],[f4139,f214]) ).

fof(f4141,plain,
    ( ~ spl136_275
    | ~ spl136_293 ),
    inference(avatar_contradiction_clause,[],[f4140]) ).

fof(f4142,plain,
    ( $false
    | ~ spl136_275
    | ~ spl136_293 ),
    inference(forward_subsumption_resolution,[],[f4138,f214]) ).

fof(f4143,plain,
    ( ~ spl136_275
    | ~ spl136_293 ),
    inference(avatar_contradiction_clause,[],[f4142]) ).

fof(f4145,plain,
    ( e11 = e12
    | ~ spl136_286
    | ~ spl136_419 ),
    inference(forward_demodulation,[],[f3780,f2942]) ).

fof(f4146,plain,
    ( $false
    | ~ spl136_286
    | ~ spl136_419 ),
    inference(forward_subsumption_resolution,[],[f4145,f215]) ).

fof(f4147,plain,
    ( ~ spl136_286
    | ~ spl136_419 ),
    inference(avatar_contradiction_clause,[],[f4146]) ).

fof(f4155,plain,
    ( e12 = e13
    | ~ spl136_286
    | ~ spl136_296 ),
    inference(superposition,[],[f2995,f2942]) ).

fof(f4159,plain,
    ( $false
    | ~ spl136_286
    | ~ spl136_296 ),
    inference(forward_subsumption_resolution,[],[f4155,f213]) ).

fof(f4160,plain,
    ( ~ spl136_286
    | ~ spl136_296 ),
    inference(avatar_contradiction_clause,[],[f4159]) ).

fof(f4163,plain,
    ( e20 = e21
    | ~ spl136_148
    | ~ spl136_353 ),
    inference(superposition,[],[f3452,f2054]) ).

fof(f4167,plain,
    ( $false
    | spl136_14
    | ~ spl136_19
    | ~ spl136_148
    | ~ spl136_353 ),
    inference(forward_subsumption_resolution,[],[f4163,f3870]) ).

fof(f4168,plain,
    ( spl136_14
    | ~ spl136_19
    | ~ spl136_148
    | ~ spl136_353 ),
    inference(avatar_contradiction_clause,[],[f4167]) ).

fof(f4177,plain,
    ( e20 = e21
    | ~ spl136_154
    | ~ spl136_356 ),
    inference(superposition,[],[f3465,f2087]) ).

fof(f4182,plain,
    ( $false
    | spl136_14
    | ~ spl136_19
    | ~ spl136_154
    | ~ spl136_356 ),
    inference(forward_subsumption_resolution,[],[f4177,f3870]) ).

fof(f4183,plain,
    ( spl136_14
    | ~ spl136_19
    | ~ spl136_154
    | ~ spl136_356 ),
    inference(avatar_contradiction_clause,[],[f4182]) ).

fof(f4224,plain,
    ( e20 = e22
    | ~ spl136_157
    | ~ spl136_362 ),
    inference(superposition,[],[f3491,f2103]) ).

fof(f4230,plain,
    ( $false
    | spl136_24
    | ~ spl136_108
    | ~ spl136_157
    | ~ spl136_362 ),
    inference(forward_subsumption_resolution,[],[f4224,f3921]) ).

fof(f4231,plain,
    ( spl136_24
    | ~ spl136_108
    | ~ spl136_157
    | ~ spl136_362 ),
    inference(avatar_contradiction_clause,[],[f4230]) ).

fof(f4242,plain,
    ( e22 = e23
    | ~ spl136_359
    | ~ spl136_364 ),
    inference(superposition,[],[f3500,f3478]) ).

fof(f4247,plain,
    ( $false
    | ~ spl136_359
    | ~ spl136_364 ),
    inference(forward_subsumption_resolution,[],[f4242,f219]) ).

fof(f4248,plain,
    ( ~ spl136_359
    | ~ spl136_364 ),
    inference(avatar_contradiction_clause,[],[f4247]) ).

fof(f4266,plain,
    ( e20 = e23
    | ~ spl136_187
    | ~ spl136_381 ),
    inference(forward_demodulation,[],[f3579,f2266]) ).

fof(f4267,plain,
    ( $false
    | spl136_34
    | ~ spl136_134
    | ~ spl136_187
    | ~ spl136_381 ),
    inference(forward_subsumption_resolution,[],[f4266,f4025]) ).

fof(f4268,plain,
    ( spl136_34
    | ~ spl136_134
    | ~ spl136_187
    | ~ spl136_381 ),
    inference(avatar_contradiction_clause,[],[f4267]) ).

fof(f4278,plain,
    ( e21 = e23
    | ~ spl136_356
    | ~ spl136_367 ),
    inference(superposition,[],[f3465,f3513]) ).

fof(f4281,plain,
    ( $false
    | ~ spl136_356
    | ~ spl136_367 ),
    inference(forward_subsumption_resolution,[],[f4278,f220]) ).

fof(f4282,plain,
    ( ~ spl136_356
    | ~ spl136_367 ),
    inference(avatar_contradiction_clause,[],[f4281]) ).

fof(f4289,plain,
    ( e20 = e21
    | ~ spl136_162
    | ~ spl136_368 ),
    inference(forward_demodulation,[],[f3518,f2130]) ).

fof(f4290,plain,
    ( $false
    | spl136_14
    | ~ spl136_19
    | ~ spl136_162
    | ~ spl136_368 ),
    inference(forward_subsumption_resolution,[],[f4289,f3870]) ).

fof(f4291,plain,
    ( spl136_14
    | ~ spl136_19
    | ~ spl136_162
    | ~ spl136_368 ),
    inference(avatar_contradiction_clause,[],[f4290]) ).

fof(f4296,plain,
    ( e20 = e22
    | ~ spl136_178
    | ~ spl136_380 ),
    inference(forward_demodulation,[],[f3574,f2218]) ).

fof(f4297,plain,
    ( $false
    | spl136_24
    | ~ spl136_108
    | ~ spl136_178
    | ~ spl136_380 ),
    inference(forward_subsumption_resolution,[],[f4296,f3921]) ).

fof(f4298,plain,
    ( spl136_24
    | ~ spl136_108
    | ~ spl136_178
    | ~ spl136_380 ),
    inference(avatar_contradiction_clause,[],[f4297]) ).

fof(f4317,plain,
    ( e21 = e23
    | ~ spl136_167
    | ~ spl136_185 ),
    inference(forward_demodulation,[],[f2158,f2255]) ).

fof(f4319,plain,
    ( $false
    | ~ spl136_167
    | ~ spl136_185 ),
    inference(forward_subsumption_resolution,[],[f4317,f220]) ).

fof(f4320,plain,
    ( ~ spl136_167
    | ~ spl136_185 ),
    inference(avatar_contradiction_clause,[],[f4319]) ).

fof(f4336,plain,
    ( e20 = e22
    | ~ spl136_368
    | ~ spl136_373 ),
    inference(superposition,[],[f3542,f3518]) ).

fof(f4341,plain,
    ( $false
    | spl136_24
    | ~ spl136_108
    | ~ spl136_368
    | ~ spl136_373 ),
    inference(forward_subsumption_resolution,[],[f4336,f3921]) ).

fof(f4342,plain,
    ( spl136_24
    | ~ spl136_108
    | ~ spl136_368
    | ~ spl136_373 ),
    inference(avatar_contradiction_clause,[],[f4341]) ).

fof(f4354,plain,
    ( e20 = e23
    | ~ spl136_379
    | ~ spl136_385 ),
    inference(superposition,[],[f3600,f3570]) ).

fof(f4359,plain,
    ( $false
    | spl136_34
    | ~ spl136_134
    | ~ spl136_379
    | ~ spl136_385 ),
    inference(forward_subsumption_resolution,[],[f4354,f4025]) ).

fof(f4360,plain,
    ( spl136_34
    | ~ spl136_134
    | ~ spl136_379
    | ~ spl136_385 ),
    inference(avatar_contradiction_clause,[],[f4359]) ).

fof(f4361,plain,
    ( e20 = e21
    | ~ spl136_153
    | ~ spl136_354 ),
    inference(forward_demodulation,[],[f2082,f3456]) ).

fof(f4362,plain,
    ( e21 = e23
    | ~ spl136_159
    | ~ spl136_366 ),
    inference(forward_demodulation,[],[f2114,f3509]) ).

fof(f4365,plain,
    ( $false
    | spl136_14
    | ~ spl136_19
    | ~ spl136_153
    | ~ spl136_354 ),
    inference(forward_subsumption_resolution,[],[f4361,f3870]) ).

fof(f4366,plain,
    ( spl136_14
    | ~ spl136_19
    | ~ spl136_153
    | ~ spl136_354 ),
    inference(avatar_contradiction_clause,[],[f4365]) ).

fof(f4367,plain,
    ( $false
    | ~ spl136_159
    | ~ spl136_366 ),
    inference(forward_subsumption_resolution,[],[f4362,f220]) ).

fof(f4368,plain,
    ( ~ spl136_159
    | ~ spl136_366 ),
    inference(avatar_contradiction_clause,[],[f4367]) ).

fof(f4392,plain,
    ( e21 = e23
    | ~ spl136_353
    | ~ spl136_363 ),
    inference(superposition,[],[f3496,f3452]) ).

fof(f4398,plain,
    ( $false
    | ~ spl136_353
    | ~ spl136_363 ),
    inference(forward_subsumption_resolution,[],[f4392,f220]) ).

fof(f4399,plain,
    ( ~ spl136_353
    | ~ spl136_363 ),
    inference(avatar_contradiction_clause,[],[f4398]) ).

fof(f4404,plain,
    ( e20 = e23
    | ~ spl136_154
    | ~ spl136_367 ),
    inference(superposition,[],[f3513,f2087]) ).

fof(f4410,plain,
    ( $false
    | spl136_34
    | ~ spl136_134
    | ~ spl136_154
    | ~ spl136_367 ),
    inference(forward_subsumption_resolution,[],[f4404,f4025]) ).

fof(f4411,plain,
    ( spl136_34
    | ~ spl136_134
    | ~ spl136_154
    | ~ spl136_367 ),
    inference(avatar_contradiction_clause,[],[f4410]) ).

fof(f4418,plain,
    ( e20 = e23
    | ~ spl136_368
    | ~ spl136_376 ),
    inference(superposition,[],[f3556,f3518]) ).

fof(f4424,plain,
    ( $false
    | spl136_34
    | ~ spl136_134
    | ~ spl136_368
    | ~ spl136_376 ),
    inference(forward_subsumption_resolution,[],[f4418,f4025]) ).

fof(f4425,plain,
    ( spl136_34
    | ~ spl136_134
    | ~ spl136_368
    | ~ spl136_376 ),
    inference(avatar_contradiction_clause,[],[f4424]) ).

fof(f4440,plain,
    ( e20 = e23
    | ~ spl136_190
    | ~ spl136_386 ),
    inference(forward_demodulation,[],[f3606,f2282]) ).

fof(f4441,plain,
    ( $false
    | spl136_34
    | ~ spl136_134
    | ~ spl136_190
    | ~ spl136_386 ),
    inference(forward_subsumption_resolution,[],[f4440,f4025]) ).

fof(f4442,plain,
    ( spl136_34
    | ~ spl136_134
    | ~ spl136_190
    | ~ spl136_386 ),
    inference(avatar_contradiction_clause,[],[f4441]) ).

fof(f4443,plain,
    ( e20 = e21
    | ~ spl136_156
    | ~ spl136_355 ),
    inference(forward_demodulation,[],[f2098,f3460]) ).

fof(f4446,plain,
    ( $false
    | spl136_14
    | ~ spl136_19
    | ~ spl136_156
    | ~ spl136_355 ),
    inference(forward_subsumption_resolution,[],[f4443,f3870]) ).

fof(f4447,plain,
    ( spl136_14
    | ~ spl136_19
    | ~ spl136_156
    | ~ spl136_355 ),
    inference(avatar_contradiction_clause,[],[f4446]) ).

fof(f4452,plain,
    ( e22 = e23
    | ~ spl136_184
    | ~ spl136_375 ),
    inference(forward_demodulation,[],[f3551,f2250]) ).

fof(f4454,plain,
    ( $false
    | ~ spl136_184
    | ~ spl136_375 ),
    inference(forward_subsumption_resolution,[],[f4452,f219]) ).

fof(f4455,plain,
    ( ~ spl136_184
    | ~ spl136_375 ),
    inference(avatar_contradiction_clause,[],[f4454]) ).

fof(f4474,plain,
    ( e20 = e23
    | ~ spl136_150
    | ~ spl136_364 ),
    inference(superposition,[],[f3500,f2066]) ).

fof(f4480,plain,
    ( $false
    | spl136_34
    | ~ spl136_134
    | ~ spl136_150
    | ~ spl136_364 ),
    inference(forward_subsumption_resolution,[],[f4474,f4025]) ).

fof(f4481,plain,
    ( spl136_34
    | ~ spl136_134
    | ~ spl136_150
    | ~ spl136_364 ),
    inference(avatar_contradiction_clause,[],[f4480]) ).

fof(f4482,plain,
    ( e21 = e22
    | ~ spl136_178
    | ~ spl136_383 ),
    inference(forward_demodulation,[],[f3588,f2218]) ).

fof(f4483,plain,
    ( $false
    | spl136_29
    | ~ spl136_108
    | ~ spl136_178
    | ~ spl136_383 ),
    inference(forward_subsumption_resolution,[],[f4482,f3965]) ).

fof(f4484,plain,
    ( spl136_29
    | ~ spl136_108
    | ~ spl136_178
    | ~ spl136_383 ),
    inference(avatar_contradiction_clause,[],[f4483]) ).

fof(f4505,plain,
    ( e22 = e23
    | ~ spl136_358
    | ~ spl136_363 ),
    inference(forward_demodulation,[],[f3474,f3496]) ).

fof(f4507,plain,
    ( $false
    | ~ spl136_358
    | ~ spl136_363 ),
    inference(forward_subsumption_resolution,[],[f4505,f219]) ).

fof(f4508,plain,
    ( ~ spl136_358
    | ~ spl136_363 ),
    inference(avatar_contradiction_clause,[],[f4507]) ).

fof(f4514,plain,
    ( e22 = e23
    | ~ spl136_185
    | ~ spl136_374 ),
    inference(superposition,[],[f2255,f3546]) ).

fof(f4519,plain,
    ( $false
    | ~ spl136_185
    | ~ spl136_374 ),
    inference(forward_subsumption_resolution,[],[f4514,f219]) ).

fof(f4520,plain,
    ( ~ spl136_185
    | ~ spl136_374 ),
    inference(avatar_contradiction_clause,[],[f4519]) ).

fof(f4525,plain,
    ( e21 = e22
    | ~ spl136_355
    | ~ spl136_360 ),
    inference(superposition,[],[f3482,f3460]) ).

fof(f4530,plain,
    ( $false
    | spl136_29
    | ~ spl136_108
    | ~ spl136_355
    | ~ spl136_360 ),
    inference(forward_subsumption_resolution,[],[f4525,f3965]) ).

fof(f4531,plain,
    ( spl136_29
    | ~ spl136_108
    | ~ spl136_355
    | ~ spl136_360 ),
    inference(avatar_contradiction_clause,[],[f4530]) ).

fof(f4538,plain,
    ( e22 = e23
    | ~ spl136_173
    | ~ spl136_378 ),
    inference(superposition,[],[f3565,f2190]) ).

fof(f4543,plain,
    ( $false
    | ~ spl136_173
    | ~ spl136_378 ),
    inference(forward_subsumption_resolution,[],[f4538,f219]) ).

fof(f4544,plain,
    ( ~ spl136_173
    | ~ spl136_378 ),
    inference(avatar_contradiction_clause,[],[f4543]) ).

fof(f4563,plain,
    ( e22 = e23
    | ~ spl136_182
    | ~ spl136_360 ),
    inference(forward_demodulation,[],[f3482,f2239]) ).

fof(f4564,plain,
    ( $false
    | ~ spl136_182
    | ~ spl136_360 ),
    inference(forward_subsumption_resolution,[],[f4563,f219]) ).

fof(f4565,plain,
    ( ~ spl136_182
    | ~ spl136_360 ),
    inference(avatar_contradiction_clause,[],[f4564]) ).

fof(f4594,plain,
    ( e21 = e22
    | ~ spl136_167
    | ~ spl136_374 ),
    inference(superposition,[],[f3546,f2158]) ).

fof(f4599,plain,
    ( $false
    | spl136_29
    | ~ spl136_108
    | ~ spl136_167
    | ~ spl136_374 ),
    inference(forward_subsumption_resolution,[],[f4594,f3965]) ).

fof(f4600,plain,
    ( spl136_29
    | ~ spl136_108
    | ~ spl136_167
    | ~ spl136_374 ),
    inference(avatar_contradiction_clause,[],[f4599]) ).

fof(f4629,plain,
    ( e22 = e23
    | ~ spl136_171
    | ~ spl136_365 ),
    inference(superposition,[],[f3504,f2179]) ).

fof(f4634,plain,
    ( $false
    | ~ spl136_171
    | ~ spl136_365 ),
    inference(forward_subsumption_resolution,[],[f4629,f219]) ).

fof(f4635,plain,
    ( ~ spl136_171
    | ~ spl136_365 ),
    inference(avatar_contradiction_clause,[],[f4634]) ).

fof(f4679,plain,
    ( e20 = e21
    | ~ spl136_379
    | ~ spl136_382 ),
    inference(superposition,[],[f3584,f3570]) ).

fof(f4684,plain,
    ( $false
    | spl136_14
    | ~ spl136_19
    | ~ spl136_379
    | ~ spl136_382 ),
    inference(forward_subsumption_resolution,[],[f4679,f3870]) ).

fof(f4685,plain,
    ( spl136_14
    | ~ spl136_19
    | ~ spl136_379
    | ~ spl136_382 ),
    inference(avatar_contradiction_clause,[],[f4684]) ).

fof(f4728,plain,
    ( e20 = e22
    | ~ spl136_386
    | ~ spl136_388 ),
    inference(superposition,[],[f3618,f3606]) ).

fof(f4734,plain,
    ( $false
    | spl136_24
    | ~ spl136_108
    | ~ spl136_386
    | ~ spl136_388 ),
    inference(forward_subsumption_resolution,[],[f4728,f3921]) ).

fof(f4735,plain,
    ( spl136_24
    | ~ spl136_108
    | ~ spl136_386
    | ~ spl136_388 ),
    inference(avatar_contradiction_clause,[],[f4734]) ).

fof(f4737,plain,
    ( e10 = e11
    | ~ spl136_256
    | ~ spl136_389 ),
    inference(superposition,[],[f3644,f2778]) ).

fof(f4741,plain,
    ( $false
    | ~ spl136_256
    | ~ spl136_389 ),
    inference(forward_subsumption_resolution,[],[f4737,f218]) ).

fof(f4742,plain,
    ( ~ spl136_256
    | ~ spl136_389 ),
    inference(avatar_contradiction_clause,[],[f4741]) ).

fof(f4744,plain,
    ( e11 = e12
    | ~ spl136_389
    | ~ spl136_394 ),
    inference(superposition,[],[f3666,f3644]) ).

fof(f4745,plain,
    ( e11 = e12
    | ~ spl136_389
    | ~ spl136_394 ),
    inference(superposition,[],[f3644,f3666]) ).

fof(f4746,plain,
    ( $false
    | ~ spl136_389
    | ~ spl136_394 ),
    inference(forward_subsumption_resolution,[],[f4745,f215]) ).

fof(f4747,plain,
    ( ~ spl136_389
    | ~ spl136_394 ),
    inference(avatar_contradiction_clause,[],[f4746]) ).

fof(f4748,plain,
    ( $false
    | ~ spl136_389
    | ~ spl136_394 ),
    inference(forward_subsumption_resolution,[],[f4744,f215]) ).

fof(f4749,plain,
    ( ~ spl136_389
    | ~ spl136_394 ),
    inference(avatar_contradiction_clause,[],[f4748]) ).

fof(f4750,plain,
    ( e10 = e12
    | ~ spl136_284
    | ~ spl136_415 ),
    inference(forward_demodulation,[],[f3762,f2930]) ).

fof(f4751,plain,
    ( $false
    | ~ spl136_284
    | ~ spl136_415 ),
    inference(forward_subsumption_resolution,[],[f4750,f217]) ).

fof(f4752,plain,
    ( ~ spl136_284
    | ~ spl136_415 ),
    inference(avatar_contradiction_clause,[],[f4751]) ).

fof(f4753,plain,
    ( e12 = e13
    | ~ spl136_289
    | ~ spl136_398 ),
    inference(forward_demodulation,[],[f3683,f2958]) ).

fof(f4755,plain,
    ( $false
    | ~ spl136_289
    | ~ spl136_398 ),
    inference(forward_subsumption_resolution,[],[f4753,f213]) ).

fof(f4756,plain,
    ( ~ spl136_289
    | ~ spl136_398 ),
    inference(avatar_contradiction_clause,[],[f4755]) ).

fof(f4770,plain,
    ( e12 = e13
    | ~ spl136_290
    | ~ spl136_396 ),
    inference(forward_demodulation,[],[f3674,f2963]) ).

fof(f4771,plain,
    ( $false
    | ~ spl136_290
    | ~ spl136_396 ),
    inference(forward_subsumption_resolution,[],[f4770,f213]) ).

fof(f4772,plain,
    ( ~ spl136_290
    | ~ spl136_396 ),
    inference(avatar_contradiction_clause,[],[f4771]) ).

fof(f4777,plain,
    ( e10 = e12
    | ~ spl136_259
    | ~ spl136_397 ),
    inference(superposition,[],[f3679,f2795]) ).

fof(f4782,plain,
    ( $false
    | ~ spl136_259
    | ~ spl136_397 ),
    inference(forward_subsumption_resolution,[],[f4777,f217]) ).

fof(f4783,plain,
    ( ~ spl136_259
    | ~ spl136_397 ),
    inference(avatar_contradiction_clause,[],[f4782]) ).

fof(f4788,plain,
    ( e10 = e13
    | ~ spl136_296
    | ~ spl136_416 ),
    inference(forward_demodulation,[],[f3766,f2995]) ).

fof(f4789,plain,
    ( $false
    | ~ spl136_296
    | ~ spl136_416 ),
    inference(forward_subsumption_resolution,[],[f4788,f216]) ).

fof(f4790,plain,
    ( ~ spl136_296
    | ~ spl136_416 ),
    inference(avatar_contradiction_clause,[],[f4789]) ).

fof(f4802,plain,
    ( e11 = e13
    | ~ spl136_389
    | ~ spl136_399 ),
    inference(superposition,[],[f3688,f3644]) ).

fof(f4807,plain,
    ( $false
    | ~ spl136_389
    | ~ spl136_399 ),
    inference(forward_subsumption_resolution,[],[f4802,f214]) ).

fof(f4808,plain,
    ( ~ spl136_389
    | ~ spl136_399 ),
    inference(avatar_contradiction_clause,[],[f4807]) ).

fof(f4826,plain,
    ( e11 = e13
    | ~ spl136_268
    | ~ spl136_400 ),
    inference(superposition,[],[f3692,f2843]) ).

fof(f4835,plain,
    ( $false
    | ~ spl136_268
    | ~ spl136_400 ),
    inference(forward_subsumption_resolution,[],[f4826,f214]) ).

fof(f4836,plain,
    ( ~ spl136_268
    | ~ spl136_400 ),
    inference(avatar_contradiction_clause,[],[f4835]) ).

fof(f4839,plain,
    ( e10 = e13
    | ~ spl136_259
    | ~ spl136_402 ),
    inference(superposition,[],[f3701,f2795]) ).

fof(f4845,plain,
    ( $false
    | ~ spl136_259
    | ~ spl136_402 ),
    inference(forward_subsumption_resolution,[],[f4839,f216]) ).

fof(f4846,plain,
    ( ~ spl136_259
    | ~ spl136_402 ),
    inference(avatar_contradiction_clause,[],[f4845]) ).

fof(f4847,plain,
    ( e11 = e12
    | ~ spl136_278
    | ~ spl136_392 ),
    inference(forward_demodulation,[],[f3657,f2898]) ).

fof(f4848,plain,
    ( $false
    | ~ spl136_278
    | ~ spl136_392 ),
    inference(forward_subsumption_resolution,[],[f4847,f215]) ).

fof(f4849,plain,
    ( ~ spl136_278
    | ~ spl136_392 ),
    inference(avatar_contradiction_clause,[],[f4848]) ).

fof(f4850,plain,
    ( e10 = e12
    | ~ spl136_265
    | ~ spl136_398 ),
    inference(forward_demodulation,[],[f2827,f3683]) ).

fof(f4852,plain,
    ( $false
    | ~ spl136_265
    | ~ spl136_398 ),
    inference(forward_subsumption_resolution,[],[f4850,f217]) ).

fof(f4853,plain,
    ( ~ spl136_265
    | ~ spl136_398 ),
    inference(avatar_contradiction_clause,[],[f4852]) ).

fof(f4867,plain,
    ( e12 = e13
    | ~ spl136_278
    | ~ spl136_403 ),
    inference(superposition,[],[f3705,f2898]) ).

fof(f4872,plain,
    ( $false
    | ~ spl136_278
    | ~ spl136_403 ),
    inference(forward_subsumption_resolution,[],[f4867,f213]) ).

fof(f4873,plain,
    ( ~ spl136_278
    | ~ spl136_403 ),
    inference(avatar_contradiction_clause,[],[f4872]) ).

fof(f4881,plain,
    ( e10 = e11
    | ~ spl136_270
    | ~ spl136_404 ),
    inference(forward_demodulation,[],[f3710,f2854]) ).

fof(f4882,plain,
    ( $false
    | ~ spl136_270
    | ~ spl136_404 ),
    inference(forward_subsumption_resolution,[],[f4881,f218]) ).

fof(f4883,plain,
    ( ~ spl136_270
    | ~ spl136_404 ),
    inference(avatar_contradiction_clause,[],[f4882]) ).

fof(f4911,plain,
    ( e10 = e12
    | ~ spl136_264
    | ~ spl136_396 ),
    inference(superposition,[],[f3674,f2822]) ).

fof(f4917,plain,
    ( $false
    | ~ spl136_264
    | ~ spl136_396 ),
    inference(forward_subsumption_resolution,[],[f4911,f217]) ).

fof(f4918,plain,
    ( ~ spl136_264
    | ~ spl136_396 ),
    inference(avatar_contradiction_clause,[],[f4917]) ).

fof(f4925,plain,
    ( e12 = e13
    | ~ spl136_395
    | ~ spl136_400 ),
    inference(superposition,[],[f3692,f3670]) ).

fof(f4934,plain,
    ( $false
    | ~ spl136_395
    | ~ spl136_400 ),
    inference(forward_subsumption_resolution,[],[f4925,f213]) ).

fof(f4935,plain,
    ( ~ spl136_395
    | ~ spl136_400 ),
    inference(avatar_contradiction_clause,[],[f4934]) ).

fof(f4943,plain,
    ( e12 = e13
    | ~ spl136_282
    | ~ spl136_413 ),
    inference(superposition,[],[f3752,f2919]) ).

fof(f4947,plain,
    ( $false
    | ~ spl136_282
    | ~ spl136_413 ),
    inference(forward_subsumption_resolution,[],[f4943,f213]) ).

fof(f4948,plain,
    ( ~ spl136_282
    | ~ spl136_413 ),
    inference(avatar_contradiction_clause,[],[f4947]) ).

fof(f4953,plain,
    ( e11 = e12
    | ~ spl136_284
    | ~ spl136_418 ),
    inference(forward_demodulation,[],[f3776,f2930]) ).

fof(f4954,plain,
    ( $false
    | ~ spl136_284
    | ~ spl136_418 ),
    inference(forward_subsumption_resolution,[],[f4953,f215]) ).

fof(f4955,plain,
    ( ~ spl136_284
    | ~ spl136_418 ),
    inference(avatar_contradiction_clause,[],[f4954]) ).

fof(f4957,plain,
    ( e10 = e11
    | ~ spl136_416
    | ~ spl136_419 ),
    inference(superposition,[],[f3780,f3766]) ).

fof(f4963,plain,
    ( $false
    | ~ spl136_416
    | ~ spl136_419 ),
    inference(forward_subsumption_resolution,[],[f4957,f218]) ).

fof(f4964,plain,
    ( ~ spl136_416
    | ~ spl136_419 ),
    inference(avatar_contradiction_clause,[],[f4963]) ).

fof(f4968,plain,
    ( e11 = e13
    | ~ spl136_295
    | ~ spl136_420 ),
    inference(forward_demodulation,[],[f3785,f2990]) ).

fof(f4969,plain,
    ( $false
    | ~ spl136_295
    | ~ spl136_420 ),
    inference(forward_subsumption_resolution,[],[f4968,f214]) ).

fof(f4970,plain,
    ( ~ spl136_295
    | ~ spl136_420 ),
    inference(avatar_contradiction_clause,[],[f4969]) ).

fof(f4974,plain,
    ( e10 = e13
    | ~ spl136_415
    | ~ spl136_421 ),
    inference(superposition,[],[f3792,f3762]) ).

fof(f4976,plain,
    ( e10 = e13
    | ~ spl136_415
    | ~ spl136_421 ),
    inference(superposition,[],[f3762,f3792]) ).

fof(f4978,plain,
    ( $false
    | ~ spl136_415
    | ~ spl136_421 ),
    inference(forward_subsumption_resolution,[],[f4976,f216]) ).

fof(f4979,plain,
    ( ~ spl136_415
    | ~ spl136_421 ),
    inference(avatar_contradiction_clause,[],[f4978]) ).

fof(f4980,plain,
    ( $false
    | ~ spl136_415
    | ~ spl136_421 ),
    inference(forward_subsumption_resolution,[],[f4974,f216]) ).

fof(f4981,plain,
    ( ~ spl136_415
    | ~ spl136_421 ),
    inference(avatar_contradiction_clause,[],[f4980]) ).

fof(f4984,plain,
    ( e10 = e11
    | ~ spl136_261
    | ~ spl136_390 ),
    inference(superposition,[],[f3648,f2806]) ).

fof(f4986,plain,
    ( e10 = e11
    | ~ spl136_261
    | ~ spl136_390 ),
    inference(superposition,[],[f2806,f3648]) ).

fof(f4988,plain,
    ( $false
    | ~ spl136_261
    | ~ spl136_390 ),
    inference(forward_subsumption_resolution,[],[f4986,f218]) ).

fof(f4989,plain,
    ( ~ spl136_261
    | ~ spl136_390 ),
    inference(avatar_contradiction_clause,[],[f4988]) ).

fof(f4990,plain,
    ( $false
    | ~ spl136_261
    | ~ spl136_390 ),
    inference(forward_subsumption_resolution,[],[f4984,f218]) ).

fof(f4991,plain,
    ( ~ spl136_261
    | ~ spl136_390 ),
    inference(avatar_contradiction_clause,[],[f4990]) ).

fof(f4995,plain,
    ( e11 = e12
    | ~ spl136_275
    | ~ spl136_410 ),
    inference(superposition,[],[f3738,f2882]) ).

fof(f5000,plain,
    ( $false
    | ~ spl136_275
    | ~ spl136_410 ),
    inference(forward_subsumption_resolution,[],[f4995,f215]) ).

fof(f5001,plain,
    ( ~ spl136_275
    | ~ spl136_410 ),
    inference(avatar_contradiction_clause,[],[f5000]) ).

fof(f5003,plain,
    ( e11 = e13
    | ~ spl136_272
    | ~ spl136_413 ),
    inference(superposition,[],[f3752,f2866]) ).

fof(f5008,plain,
    ( $false
    | ~ spl136_272
    | ~ spl136_413 ),
    inference(forward_subsumption_resolution,[],[f5003,f214]) ).

fof(f5009,plain,
    ( ~ spl136_272
    | ~ spl136_413 ),
    inference(avatar_contradiction_clause,[],[f5008]) ).

fof(f5010,plain,
    ( e12 = e13
    | ~ spl136_287
    | ~ spl136_295 ),
    inference(superposition,[],[f2990,f2947]) ).

fof(f5011,plain,
    ( e12 = e13
    | ~ spl136_287
    | ~ spl136_295 ),
    inference(superposition,[],[f2947,f2990]) ).

fof(f5013,plain,
    ( $false
    | ~ spl136_287
    | ~ spl136_295 ),
    inference(forward_subsumption_resolution,[],[f5011,f213]) ).

fof(f5014,plain,
    ( ~ spl136_287
    | ~ spl136_295 ),
    inference(avatar_contradiction_clause,[],[f5013]) ).

fof(f5015,plain,
    ( $false
    | ~ spl136_287
    | ~ spl136_295 ),
    inference(forward_subsumption_resolution,[],[f5010,f213]) ).

fof(f5016,plain,
    ( ~ spl136_287
    | ~ spl136_295 ),
    inference(avatar_contradiction_clause,[],[f5015]) ).

fof(f5031,plain,
    ( e12 = e13
    | ~ spl136_281
    | ~ spl136_414 ),
    inference(superposition,[],[f3757,f2914]) ).

fof(f5036,plain,
    ( $false
    | ~ spl136_281
    | ~ spl136_414 ),
    inference(forward_subsumption_resolution,[],[f5031,f213]) ).

fof(f5037,plain,
    ( ~ spl136_281
    | ~ spl136_414 ),
    inference(avatar_contradiction_clause,[],[f5036]) ).

fof(f5038,plain,
    ( e11 = e13
    | ~ spl136_296
    | ~ spl136_419 ),
    inference(superposition,[],[f2995,f3780]) ).

fof(f5043,plain,
    ( $false
    | ~ spl136_296
    | ~ spl136_419 ),
    inference(forward_subsumption_resolution,[],[f5038,f214]) ).

fof(f5044,plain,
    ( ~ spl136_296
    | ~ spl136_419 ),
    inference(avatar_contradiction_clause,[],[f5043]) ).

fof(f5055,plain,
    ( e10 = e12
    | ~ spl136_404
    | ~ spl136_409 ),
    inference(superposition,[],[f3734,f3710]) ).

fof(f5060,plain,
    ( $false
    | ~ spl136_404
    | ~ spl136_409 ),
    inference(forward_subsumption_resolution,[],[f5055,f217]) ).

fof(f5061,plain,
    ( ~ spl136_404
    | ~ spl136_409 ),
    inference(avatar_contradiction_clause,[],[f5060]) ).

fof(f5063,plain,
    ( e11 = e12
    | ~ spl136_276
    | ~ spl136_411 ),
    inference(superposition,[],[f3743,f2887]) ).

fof(f5068,plain,
    ( $false
    | ~ spl136_276
    | ~ spl136_411 ),
    inference(forward_subsumption_resolution,[],[f5063,f215]) ).

fof(f5069,plain,
    ( ~ spl136_276
    | ~ spl136_411 ),
    inference(avatar_contradiction_clause,[],[f5068]) ).

fof(f5084,plain,
    ( e12 = e13
    | ~ spl136_292
    | ~ spl136_411 ),
    inference(superposition,[],[f3743,f2974]) ).

fof(f5085,plain,
    ( $false
    | ~ spl136_292
    | ~ spl136_411 ),
    inference(forward_subsumption_resolution,[],[f5084,f213]) ).

fof(f5086,plain,
    ( ~ spl136_292
    | ~ spl136_411 ),
    inference(avatar_contradiction_clause,[],[f5085]) ).

fof(f5100,plain,
    ( e10 = e11
    | ~ spl136_264
    | ~ spl136_391 ),
    inference(superposition,[],[f3652,f2822]) ).

fof(f5105,plain,
    ( $false
    | ~ spl136_264
    | ~ spl136_391 ),
    inference(forward_subsumption_resolution,[],[f5100,f218]) ).

fof(f5106,plain,
    ( ~ spl136_264
    | ~ spl136_391 ),
    inference(avatar_contradiction_clause,[],[f5105]) ).

fof(f5116,plain,
    ( e11 = e13
    | ~ spl136_298
    | ~ spl136_423 ),
    inference(forward_demodulation,[],[f3804,f3006]) ).

fof(f5117,plain,
    ( $false
    | ~ spl136_298
    | ~ spl136_423 ),
    inference(forward_subsumption_resolution,[],[f5116,f214]) ).

fof(f5118,plain,
    ( ~ spl136_298
    | ~ spl136_423 ),
    inference(avatar_contradiction_clause,[],[f5117]) ).

fof(f5125,plain,
    ( e11 = e12
    | ~ spl136_391
    | ~ spl136_396 ),
    inference(superposition,[],[f3674,f3652]) ).

fof(f5130,plain,
    ( $false
    | ~ spl136_391
    | ~ spl136_396 ),
    inference(forward_subsumption_resolution,[],[f5125,f215]) ).

fof(f5131,plain,
    ( ~ spl136_391
    | ~ spl136_396 ),
    inference(avatar_contradiction_clause,[],[f5130]) ).

fof(f5135,plain,
    ( e12 = e13
    | ~ spl136_394
    | ~ spl136_399 ),
    inference(superposition,[],[f3688,f3666]) ).

fof(f5141,plain,
    ( $false
    | ~ spl136_394
    | ~ spl136_399 ),
    inference(forward_subsumption_resolution,[],[f5135,f213]) ).

fof(f5142,plain,
    ( ~ spl136_394
    | ~ spl136_399 ),
    inference(avatar_contradiction_clause,[],[f5141]) ).

fof(f5143,plain,
    ( e12 = e13
    | ~ spl136_279
    | ~ spl136_401 ),
    inference(forward_demodulation,[],[f2903,f3696]) ).

fof(f5145,plain,
    ( $false
    | ~ spl136_279
    | ~ spl136_401 ),
    inference(forward_subsumption_resolution,[],[f5143,f213]) ).

fof(f5146,plain,
    ( ~ spl136_279
    | ~ spl136_401 ),
    inference(avatar_contradiction_clause,[],[f5145]) ).

fof(f5160,plain,
    ( e11 = e12
    | ~ spl136_279
    | ~ spl136_390 ),
    inference(forward_demodulation,[],[f3648,f2903]) ).

fof(f5161,plain,
    ( $false
    | ~ spl136_279
    | ~ spl136_390 ),
    inference(forward_subsumption_resolution,[],[f5160,f215]) ).

fof(f5162,plain,
    ( ~ spl136_279
    | ~ spl136_390 ),
    inference(avatar_contradiction_clause,[],[f5161]) ).

fof(f5171,plain,
    ( e12 = e13
    | ~ spl136_397
    | ~ spl136_402 ),
    inference(superposition,[],[f3701,f3679]) ).

fof(f5177,plain,
    ( $false
    | ~ spl136_397
    | ~ spl136_402 ),
    inference(forward_subsumption_resolution,[],[f5171,f213]) ).

fof(f5178,plain,
    ( ~ spl136_397
    | ~ spl136_402 ),
    inference(avatar_contradiction_clause,[],[f5177]) ).

fof(f5187,plain,
    ( e10 = e13
    | ~ spl136_256
    | ~ spl136_399 ),
    inference(superposition,[],[f3688,f2778]) ).

fof(f5193,plain,
    ( $false
    | ~ spl136_256
    | ~ spl136_399 ),
    inference(forward_subsumption_resolution,[],[f5187,f216]) ).

fof(f5194,plain,
    ( ~ spl136_256
    | ~ spl136_399 ),
    inference(avatar_contradiction_clause,[],[f5193]) ).

fof(f5197,plain,
    ( e10 = e13
    | ~ spl136_258
    | ~ spl136_400 ),
    inference(superposition,[],[f3692,f2790]) ).

fof(f5206,plain,
    ( $false
    | ~ spl136_258
    | ~ spl136_400 ),
    inference(forward_subsumption_resolution,[],[f5197,f216]) ).

fof(f5207,plain,
    ( ~ spl136_258
    | ~ spl136_400 ),
    inference(avatar_contradiction_clause,[],[f5206]) ).

fof(f5230,plain,
    ( e10 = e13
    | ~ spl136_404
    | ~ spl136_412 ),
    inference(superposition,[],[f3748,f3710]) ).

fof(f5236,plain,
    ( $false
    | ~ spl136_404
    | ~ spl136_412 ),
    inference(forward_subsumption_resolution,[],[f5230,f216]) ).

fof(f5237,plain,
    ( ~ spl136_404
    | ~ spl136_412 ),
    inference(avatar_contradiction_clause,[],[f5236]) ).

fof(f5238,plain,
    ( e10 = e12
    | ~ spl136_256
    | ~ spl136_394 ),
    inference(superposition,[],[f3666,f2778]) ).

fof(f5244,plain,
    ( $false
    | ~ spl136_256
    | ~ spl136_394 ),
    inference(forward_subsumption_resolution,[],[f5238,f217]) ).

fof(f5245,plain,
    ( ~ spl136_256
    | ~ spl136_394 ),
    inference(avatar_contradiction_clause,[],[f5244]) ).

fof(f5268,plain,
    ( e10 = e11
    | ~ spl136_415
    | ~ spl136_418 ),
    inference(superposition,[],[f3776,f3762]) ).

fof(f5269,plain,
    ( e10 = e11
    | ~ spl136_415
    | ~ spl136_418 ),
    inference(superposition,[],[f3762,f3776]) ).

fof(f5271,plain,
    ( $false
    | ~ spl136_415
    | ~ spl136_418 ),
    inference(forward_subsumption_resolution,[],[f5269,f218]) ).

fof(f5272,plain,
    ( ~ spl136_415
    | ~ spl136_418 ),
    inference(avatar_contradiction_clause,[],[f5271]) ).

fof(f5273,plain,
    ( $false
    | ~ spl136_415
    | ~ spl136_418 ),
    inference(forward_subsumption_resolution,[],[f5268,f218]) ).

fof(f5274,plain,
    ( ~ spl136_415
    | ~ spl136_418 ),
    inference(avatar_contradiction_clause,[],[f5273]) ).

fof(f5279,plain,
    ( e10 = e13
    | ~ spl136_298
    | ~ spl136_422 ),
    inference(forward_demodulation,[],[f3798,f3006]) ).

fof(f5280,plain,
    ( $false
    | ~ spl136_298
    | ~ spl136_422 ),
    inference(forward_subsumption_resolution,[],[f5279,f216]) ).

fof(f5281,plain,
    ( ~ spl136_298
    | ~ spl136_422 ),
    inference(avatar_contradiction_clause,[],[f5280]) ).

fof(f5301,plain,
    ( e10 = e13
    | ~ spl136_295
    | ~ spl136_417 ),
    inference(forward_demodulation,[],[f3771,f2990]) ).

fof(f5303,plain,
    ( $false
    | ~ spl136_295
    | ~ spl136_417 ),
    inference(forward_subsumption_resolution,[],[f5301,f216]) ).

fof(f5304,plain,
    ( ~ spl136_295
    | ~ spl136_417 ),
    inference(avatar_contradiction_clause,[],[f5303]) ).

fof(f5312,plain,
    ( e11 = e13
    | ~ spl136_392
    | ~ spl136_403 ),
    inference(superposition,[],[f3705,f3657]) ).

fof(f5318,plain,
    ( $false
    | ~ spl136_392
    | ~ spl136_403 ),
    inference(forward_subsumption_resolution,[],[f5312,f214]) ).

fof(f5319,plain,
    ( ~ spl136_392
    | ~ spl136_403 ),
    inference(avatar_contradiction_clause,[],[f5318]) ).

fof(f5320,plain,
    ( e11 = e13
    | ~ spl136_267
    | ~ spl136_402 ),
    inference(forward_demodulation,[],[f2838,f3701]) ).

fof(f5321,plain,
    ( $false
    | ~ spl136_267
    | ~ spl136_402 ),
    inference(forward_subsumption_resolution,[],[f5320,f214]) ).

fof(f5322,plain,
    ( ~ spl136_267
    | ~ spl136_402 ),
    inference(avatar_contradiction_clause,[],[f5321]) ).

fof(f5330,plain,
    ( e11 = e13
    | ~ spl136_390
    | ~ spl136_401 ),
    inference(superposition,[],[f3696,f3648]) ).

fof(f5336,plain,
    ( $false
    | ~ spl136_390
    | ~ spl136_401 ),
    inference(forward_subsumption_resolution,[],[f5330,f214]) ).

fof(f5337,plain,
    ( ~ spl136_390
    | ~ spl136_401 ),
    inference(avatar_contradiction_clause,[],[f5336]) ).

fof(f5338,plain,
    ( e10 = e12
    | ~ spl136_286
    | ~ spl136_416 ),
    inference(forward_demodulation,[],[f3766,f2942]) ).

fof(f5339,plain,
    ( $false
    | ~ spl136_286
    | ~ spl136_416 ),
    inference(forward_subsumption_resolution,[],[f5338,f217]) ).

fof(f5340,plain,
    ( ~ spl136_286
    | ~ spl136_416 ),
    inference(avatar_contradiction_clause,[],[f5339]) ).

fof(f5362,plain,
    ( e10 = e13
    | ~ spl136_262
    | ~ spl136_403 ),
    inference(superposition,[],[f3705,f2811]) ).

fof(f5363,plain,
    ( e10 = e13
    | ~ spl136_262
    | ~ spl136_403 ),
    inference(superposition,[],[f2811,f3705]) ).

fof(f5366,plain,
    ( $false
    | ~ spl136_262
    | ~ spl136_403 ),
    inference(forward_subsumption_resolution,[],[f5363,f216]) ).

fof(f5367,plain,
    ( ~ spl136_262
    | ~ spl136_403 ),
    inference(avatar_contradiction_clause,[],[f5366]) ).

fof(f5368,plain,
    ( $false
    | ~ spl136_262
    | ~ spl136_403 ),
    inference(forward_subsumption_resolution,[],[f5362,f216]) ).

fof(f5369,plain,
    ( ~ spl136_262
    | ~ spl136_403 ),
    inference(avatar_contradiction_clause,[],[f5368]) ).

fof(f5374,plain,
    ( e11 = e12
    | ~ spl136_267
    | ~ spl136_397 ),
    inference(superposition,[],[f3679,f2838]) ).

fof(f5380,plain,
    ( $false
    | ~ spl136_267
    | ~ spl136_397 ),
    inference(forward_subsumption_resolution,[],[f5374,f215]) ).

fof(f5381,plain,
    ( ~ spl136_267
    | ~ spl136_397 ),
    inference(avatar_contradiction_clause,[],[f5380]) ).

fof(f5418,plain,
    ( e10 = e11
    | ~ spl136_422
    | ~ spl136_423 ),
    inference(superposition,[],[f3804,f3798]) ).

fof(f5419,plain,
    ( e10 = e11
    | ~ spl136_422
    | ~ spl136_423 ),
    inference(superposition,[],[f3798,f3804]) ).

fof(f5421,plain,
    ( $false
    | ~ spl136_422
    | ~ spl136_423 ),
    inference(forward_subsumption_resolution,[],[f5419,f218]) ).

fof(f5422,plain,
    ( ~ spl136_422
    | ~ spl136_423 ),
    inference(avatar_contradiction_clause,[],[f5421]) ).

fof(f5423,plain,
    ( $false
    | ~ spl136_422
    | ~ spl136_423 ),
    inference(forward_subsumption_resolution,[],[f5418,f218]) ).

fof(f5424,plain,
    ( ~ spl136_422
    | ~ spl136_423 ),
    inference(avatar_contradiction_clause,[],[f5423]) ).

fof(f5428,plain,
    ( e10 = e11
    | ~ spl136_262
    | ~ spl136_392 ),
    inference(superposition,[],[f3657,f2811]) ).

fof(f5429,plain,
    ( e10 = e11
    | ~ spl136_262
    | ~ spl136_392 ),
    inference(superposition,[],[f2811,f3657]) ).

fof(f5431,plain,
    ( $false
    | ~ spl136_262
    | ~ spl136_392 ),
    inference(forward_subsumption_resolution,[],[f5429,f218]) ).

fof(f5432,plain,
    ( ~ spl136_262
    | ~ spl136_392 ),
    inference(avatar_contradiction_clause,[],[f5431]) ).

fof(f5433,plain,
    ( $false
    | ~ spl136_262
    | ~ spl136_392 ),
    inference(forward_subsumption_resolution,[],[f5428,f218]) ).

fof(f5434,plain,
    ( ~ spl136_262
    | ~ spl136_392 ),
    inference(avatar_contradiction_clause,[],[f5433]) ).

fof(f5452,plain,
    ( e10 = e11
    | ~ spl136_417
    | ~ spl136_420 ),
    inference(superposition,[],[f3785,f3771]) ).

fof(f5453,plain,
    ( e10 = e11
    | ~ spl136_417
    | ~ spl136_420 ),
    inference(superposition,[],[f3771,f3785]) ).

fof(f5456,plain,
    ( $false
    | ~ spl136_417
    | ~ spl136_420 ),
    inference(forward_subsumption_resolution,[],[f5453,f218]) ).

fof(f5457,plain,
    ( ~ spl136_417
    | ~ spl136_420 ),
    inference(avatar_contradiction_clause,[],[f5456]) ).

fof(f5458,plain,
    ( $false
    | ~ spl136_417
    | ~ spl136_420 ),
    inference(forward_subsumption_resolution,[],[f5452,f218]) ).

fof(f5459,plain,
    ( ~ spl136_417
    | ~ spl136_420 ),
    inference(avatar_contradiction_clause,[],[f5458]) ).

fof(f5461,plain,
    ( e12 = e13
    | ~ spl136_284
    | ~ spl136_421 ),
    inference(superposition,[],[f3792,f2930]) ).

fof(f5466,plain,
    ( $false
    | ~ spl136_284
    | ~ spl136_421 ),
    inference(forward_subsumption_resolution,[],[f5461,f213]) ).

fof(f5467,plain,
    ( ~ spl136_284
    | ~ spl136_421 ),
    inference(avatar_contradiction_clause,[],[f5466]) ).

fof(f5486,plain,
    ( e20 = h2(e10)
    | ~ spl136_368 ),
    inference(forward_demodulation,[],[f837,f3518]) ).

fof(f5489,plain,
    ( spl136_15
    | ~ spl136_368 ),
    inference(avatar_split_clause,[],[f5486,f3516,f1423]) ).

fof(f5526,plain,
    ( e11 != op1(e11,e10)
    | ~ spl136_275 ),
    inference(forward_demodulation,[],[f132,f2882]) ).

fof(f5527,plain,
    ( e13 != op1(e11,e10)
    | ~ spl136_413 ),
    inference(forward_demodulation,[],[f133,f3752]) ).

fof(f5536,plain,
    ( e12 != op1(e11,e13)
    | ~ spl136_424 ),
    inference(forward_demodulation,[],[f142,f3810]) ).

fof(f5540,plain,
    ( e10 != op1(e10,e13)
    | ~ spl136_416 ),
    inference(forward_demodulation,[],[f145,f3766]) ).

fof(f5541,plain,
    ( e11 != op1(e10,e13)
    | ~ spl136_275 ),
    inference(forward_demodulation,[],[f146,f2882]) ).

fof(f5548,plain,
    ( e10 != op1(e10,e12)
    | ~ spl136_417 ),
    inference(forward_demodulation,[],[f150,f3771]) ).

fof(f5559,plain,
    ( e13 != op1(e11,e10)
    | ~ spl136_403 ),
    inference(forward_demodulation,[],[f161,f3705]) ).

fof(f5569,plain,
    ( e22 != op2(e23,e20)
    | ~ spl136_179 ),
    inference(forward_demodulation,[],[f169,f2223]) ).

fof(f5606,plain,
    ( e21 != op2(e20,e22)
    | ~ spl136_164 ),
    inference(forward_demodulation,[],[f200,f2142]) ).

fof(f5619,plain,
    ( e13 = op1(e10,e11)
    | ~ spl136_404 ),
    inference(forward_demodulation,[],[f825,f3710]) ).

fof(f5627,plain,
    ( e10 != op1(e11,e12)
    | ~ spl136_404 ),
    inference(forward_demodulation,[],[f131,f3710]) ).

fof(f5629,plain,
    ( spl136_400
    | ~ spl136_404 ),
    inference(avatar_split_clause,[],[f5619,f3708,f3690]) ).

fof(f5632,plain,
    ( e11 != op1(e13,e11)
    | ~ spl136_393 ),
    inference(forward_demodulation,[],[f122,f3661]) ).

fof(f5633,plain,
    ( e10 != op1(e13,e11)
    | ~ spl136_404 ),
    inference(forward_demodulation,[],[f154,f3710]) ).

fof(f5634,plain,
    ( ~ spl136_391
    | ~ spl136_275 ),
    inference(avatar_split_clause,[],[f5541,f2880,f3650]) ).

fof(f5638,plain,
    ( e10 != op1(e12,e11)
    | ~ spl136_404 ),
    inference(forward_demodulation,[],[f155,f3710]) ).

fof(f5640,plain,
    ( ~ spl136_261
    | ~ spl136_417 ),
    inference(avatar_split_clause,[],[f5548,f3769,f2804]) ).

fof(f5646,plain,
    ( ~ spl136_405
    | ~ spl136_404 ),
    inference(avatar_split_clause,[],[f5627,f3708,f3712]) ).

fof(f5647,plain,
    ( ~ spl136_276
    | ~ spl136_393 ),
    inference(avatar_split_clause,[],[f5632,f3659,f2885]) ).

fof(f5648,plain,
    ( ~ spl136_408
    | ~ spl136_404 ),
    inference(avatar_split_clause,[],[f5633,f3708,f3725]) ).

fof(f5649,plain,
    ( ~ spl136_407
    | ~ spl136_404 ),
    inference(avatar_split_clause,[],[f5638,f3708,f3721]) ).

fof(f5653,plain,
    ( e10 != op1(e11,e13)
    | ~ spl136_404 ),
    inference(forward_demodulation,[],[f130,f3710]) ).

fof(f5654,plain,
    ( ~ spl136_406
    | ~ spl136_404 ),
    inference(avatar_split_clause,[],[f5653,f3708,f3716]) ).

fof(f5706,plain,
    ( e11 = e13
    | ~ spl136_418
    | ~ spl136_421 ),
    inference(superposition,[],[f3792,f3776]) ).

fof(f5712,plain,
    ( $false
    | ~ spl136_418
    | ~ spl136_421 ),
    inference(forward_subsumption_resolution,[],[f5706,f214]) ).

fof(f5713,plain,
    ( ~ spl136_418
    | ~ spl136_421 ),
    inference(avatar_contradiction_clause,[],[f5712]) ).

fof(f5714,plain,
    ( ~ spl136_267
    | ~ spl136_275 ),
    inference(avatar_split_clause,[],[f5526,f2880,f2836]) ).

fof(f5781,plain,
    ( e13 != op1(e11,e12)
    | ~ spl136_295 ),
    inference(forward_demodulation,[],[f148,f2990]) ).

fof(f5785,plain,
    ( e10 != op1(e10,e12)
    | ~ spl136_415 ),
    inference(forward_demodulation,[],[f151,f3762]) ).

fof(f5792,plain,
    ( e11 != op1(e11,e10)
    | ~ spl136_392 ),
    inference(forward_demodulation,[],[f161,f3657]) ).

fof(f5793,plain,
    ( op1(e10,e10) != e12
    | ~ spl136_398 ),
    inference(forward_demodulation,[],[f162,f3683]) ).

fof(f5796,plain,
    ( e23 = op2(e20,e21)
    | ~ spl136_368 ),
    inference(forward_demodulation,[],[f828,f3518]) ).

fof(f5802,plain,
    ( e23 != op2(e22,e22)
    | ~ spl136_367 ),
    inference(forward_demodulation,[],[f175,f3513]) ).

fof(f5804,plain,
    ( spl136_364
    | ~ spl136_368 ),
    inference(avatar_split_clause,[],[f5796,f3516,f3498]) ).

fof(f5806,plain,
    ( e20 != op2(e20,e23)
    | ~ spl136_148 ),
    inference(forward_demodulation,[],[f186,f2054]) ).

fof(f5807,plain,
    ( e20 != op2(e21,e23)
    | ~ spl136_368 ),
    inference(forward_demodulation,[],[f178,f3518]) ).

fof(f5810,plain,
    ( e20 != op2(e23,e21)
    | ~ spl136_368 ),
    inference(forward_demodulation,[],[f202,f3518]) ).

fof(f5814,plain,
    ( e20 != op2(e22,e21)
    | ~ spl136_368 ),
    inference(forward_demodulation,[],[f203,f3518]) ).

fof(f5815,plain,
    ( e20 != op2(e21,e22)
    | ~ spl136_368 ),
    inference(forward_demodulation,[],[f179,f3518]) ).

fof(f5819,plain,
    ( ~ spl136_370
    | ~ spl136_368 ),
    inference(avatar_split_clause,[],[f5807,f3516,f3524]) ).

fof(f5822,plain,
    ( ~ spl136_372
    | ~ spl136_368 ),
    inference(avatar_split_clause,[],[f5810,f3516,f3533]) ).

fof(f5825,plain,
    ( ~ spl136_371
    | ~ spl136_368 ),
    inference(avatar_split_clause,[],[f5814,f3516,f3529]) ).

fof(f5826,plain,
    ( ~ spl136_369
    | ~ spl136_368 ),
    inference(avatar_split_clause,[],[f5815,f3516,f3520]) ).

fof(f5828,plain,
    ( e20 != op2(e22,e20)
    | ~ spl136_148 ),
    inference(forward_demodulation,[],[f211,f2054]) ).

fof(f5829,plain,
    ( e22 != op2(e23,e20)
    | ~ spl136_361 ),
    inference(forward_demodulation,[],[f208,f3487]) ).

fof(f5870,plain,
    ( e21 = e23
    | ~ spl136_164
    | ~ spl136_377 ),
    inference(forward_demodulation,[],[f2142,f3560]) ).

fof(f5881,plain,
    ( $false
    | ~ spl136_164
    | ~ spl136_377 ),
    inference(forward_subsumption_resolution,[],[f5870,f220]) ).

fof(f5882,plain,
    ( ~ spl136_164
    | ~ spl136_377 ),
    inference(avatar_contradiction_clause,[],[f5881]) ).

fof(f5926,plain,
    ( e22 != op2(e22,e20)
    | ~ spl136_173 ),
    inference(forward_demodulation,[],[f176,f2190]) ).

fof(f5954,plain,
    ( e20 != op2(e20,e20)
    | spl136_141
    | ~ spl136_148 ),
    inference(forward_demodulation,[],[f2021,f2054]) ).

fof(f5955,plain,
    ( $false
    | spl136_141
    | ~ spl136_148 ),
    inference(forward_subsumption_resolution,[],[f5954,f2054]) ).

fof(f5956,plain,
    ( spl136_141
    | ~ spl136_148 ),
    inference(avatar_contradiction_clause,[],[f5955]) ).

fof(f5959,plain,
    ( e21 != op2(e23,e21)
    | ~ spl136_168
    | spl136_242 ),
    inference(forward_demodulation,[],[f2682,f2163]) ).

fof(f5963,plain,
    ( $false
    | ~ spl136_168
    | spl136_242 ),
    inference(forward_subsumption_resolution,[],[f5959,f2163]) ).

fof(f5964,plain,
    ( ~ spl136_168
    | spl136_242 ),
    inference(avatar_contradiction_clause,[],[f5963]) ).

fof(f5965,plain,
    ( e23 != op2(e22,e23)
    | ~ spl136_188
    | spl136_237 ),
    inference(forward_demodulation,[],[f2658,f2271]) ).

fof(f5970,plain,
    ( $false
    | ~ spl136_188
    | spl136_237 ),
    inference(forward_subsumption_resolution,[],[f5965,f2271]) ).

fof(f5971,plain,
    ( ~ spl136_188
    | spl136_237 ),
    inference(avatar_contradiction_clause,[],[f5970]) ).

fof(f5974,plain,
    ( e22 != op2(e21,e22)
    | spl136_144
    | ~ spl136_174 ),
    inference(forward_demodulation,[],[f2035,f2195]) ).

fof(f5978,plain,
    ( $false
    | spl136_144
    | ~ spl136_174 ),
    inference(forward_subsumption_resolution,[],[f5974,f2195]) ).

fof(f5979,plain,
    ( spl136_144
    | ~ spl136_174 ),
    inference(avatar_contradiction_clause,[],[f5978]) ).

fof(f5982,plain,
    ( e21 = e23
    | ~ spl136_160
    | ~ spl136_364 ),
    inference(forward_demodulation,[],[f2119,f3500]) ).

fof(f5985,plain,
    ( e21 = e23
    | ~ spl136_188
    | ~ spl136_383 ),
    inference(forward_demodulation,[],[f3588,f2271]) ).

fof(f5990,plain,
    ( ~ spl136_170
    | ~ spl136_173 ),
    inference(avatar_split_clause,[],[f5926,f2188,f2172]) ).

fof(f5993,plain,
    ( e22 != op2(e23,e21)
    | ~ spl136_173 ),
    inference(forward_demodulation,[],[f201,f2190]) ).

fof(f5996,plain,
    ( $false
    | ~ spl136_160
    | ~ spl136_364 ),
    inference(forward_subsumption_resolution,[],[f5982,f220]) ).

fof(f5997,plain,
    ( ~ spl136_160
    | ~ spl136_364 ),
    inference(avatar_contradiction_clause,[],[f5996]) ).

fof(f5998,plain,
    ( $false
    | ~ spl136_188
    | ~ spl136_383 ),
    inference(forward_subsumption_resolution,[],[f5985,f220]) ).

fof(f5999,plain,
    ( ~ spl136_188
    | ~ spl136_383 ),
    inference(avatar_contradiction_clause,[],[f5998]) ).

fof(f6001,plain,
    ( ~ spl136_375
    | ~ spl136_173 ),
    inference(avatar_split_clause,[],[f5993,f2188,f3549]) ).

fof(f6004,plain,
    ( ~ spl136_362
    | ~ spl136_361 ),
    inference(avatar_split_clause,[],[f5829,f3485,f3489]) ).

fof(f6010,plain,
    ( e22 != op2(e22,e22)
    | ~ spl136_173 ),
    inference(forward_demodulation,[],[f173,f2190]) ).

fof(f6015,plain,
    ( ~ spl136_176
    | ~ spl136_173 ),
    inference(avatar_split_clause,[],[f6010,f2188,f2204]) ).

fof(f6017,plain,
    ( ~ spl136_354
    | ~ spl136_164 ),
    inference(avatar_split_clause,[],[f5606,f2140,f3454]) ).

fof(f6063,plain,
    ( ~ spl136_156
    | ~ spl136_148 ),
    inference(avatar_split_clause,[],[f5806,f2052,f2096]) ).

fof(f6064,plain,
    ( ~ spl136_154
    | ~ spl136_148 ),
    inference(avatar_split_clause,[],[f5828,f2052,f2085]) ).

fof(f6143,plain,
    ( e20 != op2(e20,e22)
    | ~ spl136_381 ),
    inference(forward_demodulation,[],[f198,f3579]) ).

fof(f6182,plain,
    ( e12 != op1(e11,e12)
    | spl136_252
    | ~ spl136_282 ),
    inference(forward_demodulation,[],[f2759,f2919]) ).

fof(f6183,plain,
    ( $false
    | spl136_252
    | ~ spl136_282 ),
    inference(forward_subsumption_resolution,[],[f6182,f2919]) ).

fof(f6184,plain,
    ( spl136_252
    | ~ spl136_282 ),
    inference(avatar_contradiction_clause,[],[f6183]) ).

fof(f6187,plain,
    ( e11 != op1(e13,e11)
    | ~ spl136_276
    | spl136_350 ),
    inference(forward_demodulation,[],[f3406,f2887]) ).

fof(f6191,plain,
    ( $false
    | ~ spl136_276
    | spl136_350 ),
    inference(forward_subsumption_resolution,[],[f6187,f2887]) ).

fof(f6192,plain,
    ( ~ spl136_276
    | spl136_350 ),
    inference(avatar_contradiction_clause,[],[f6191]) ).

fof(f6193,plain,
    ( e13 != op1(e12,e13)
    | ~ spl136_296
    | spl136_345 ),
    inference(forward_demodulation,[],[f3382,f2995]) ).

fof(f6195,plain,
    ( e11 != op1(e12,e12)
    | ~ spl136_281
    | spl136_348 ),
    inference(forward_demodulation,[],[f3396,f2914]) ).

fof(f6198,plain,
    ( $false
    | ~ spl136_296
    | spl136_345 ),
    inference(forward_subsumption_resolution,[],[f6193,f2995]) ).

fof(f6199,plain,
    ( ~ spl136_296
    | spl136_345 ),
    inference(avatar_contradiction_clause,[],[f6198]) ).

fof(f6204,plain,
    ( e10 != op1(e10,e10)
    | spl136_249
    | ~ spl136_256 ),
    inference(forward_demodulation,[],[f2745,f2778]) ).

fof(f6206,plain,
    ( $false
    | spl136_249
    | ~ spl136_256 ),
    inference(forward_subsumption_resolution,[],[f6204,f2778]) ).

fof(f6207,plain,
    ( spl136_249
    | ~ spl136_256 ),
    inference(avatar_contradiction_clause,[],[f6206]) ).

fof(f6208,plain,
    ( ~ spl136_402
    | ~ spl136_403 ),
    inference(avatar_split_clause,[],[f5559,f3703,f3699]) ).

fof(f6209,plain,
    ( ~ spl136_402
    | ~ spl136_413 ),
    inference(avatar_split_clause,[],[f5527,f3750,f3699]) ).

fof(f6213,plain,
    ( ~ spl136_418
    | ~ spl136_281
    | spl136_348 ),
    inference(avatar_split_clause,[],[f6195,f3394,f2912,f3774]) ).

fof(f6260,plain,
    ( e13 != op1(e13,e12)
    | ~ spl136_298 ),
    inference(forward_demodulation,[],[f117,f3006]) ).

fof(f6266,plain,
    ( e12 != op1(e11,e12)
    | ~ spl136_410 ),
    inference(forward_demodulation,[],[f129,f3738]) ).

fof(f6269,plain,
    ( e11 != op1(e10,e12)
    | ~ spl136_391 ),
    inference(forward_demodulation,[],[f135,f3652]) ).

fof(f6273,plain,
    ( e13 != op1(e11,e13)
    | ~ spl136_298 ),
    inference(forward_demodulation,[],[f142,f3006]) ).

fof(f6290,plain,
    ( e13 != op1(e10,e11)
    | spl136_246
    | ~ spl136_391 ),
    inference(forward_demodulation,[],[f2730,f3652]) ).

fof(f6291,plain,
    ( $false
    | spl136_246
    | ~ spl136_391
    | ~ spl136_400 ),
    inference(forward_subsumption_resolution,[],[f6290,f3692]) ).

fof(f6292,plain,
    ( spl136_246
    | ~ spl136_391
    | ~ spl136_400 ),
    inference(avatar_contradiction_clause,[],[f6291]) ).

fof(f6294,plain,
    ( op1(e10,e10) != e12
    | spl136_247
    | ~ spl136_261 ),
    inference(forward_demodulation,[],[f2735,f2806]) ).

fof(f6295,plain,
    ( $false
    | spl136_247
    | ~ spl136_261
    | ~ spl136_394 ),
    inference(forward_subsumption_resolution,[],[f6294,f3666]) ).

fof(f6296,plain,
    ( spl136_247
    | ~ spl136_261
    | ~ spl136_394 ),
    inference(avatar_contradiction_clause,[],[f6295]) ).

fof(f6298,plain,
    ( e13 != op1(e11,e12)
    | spl136_251
    | ~ spl136_410 ),
    inference(forward_demodulation,[],[f2754,f3738]) ).

fof(f6302,plain,
    ( ~ spl136_413
    | ~ spl136_295 ),
    inference(avatar_split_clause,[],[f5781,f2988,f3750]) ).

fof(f6306,plain,
    ( ~ spl136_261
    | ~ spl136_415 ),
    inference(avatar_split_clause,[],[f5785,f3760,f2804]) ).

fof(f6308,plain,
    ( $false
    | ~ spl136_410
    | ~ spl136_424 ),
    inference(forward_subsumption_resolution,[],[f5536,f3738]) ).

fof(f6309,plain,
    ( ~ spl136_410
    | ~ spl136_424 ),
    inference(avatar_contradiction_clause,[],[f6308]) ).

fof(f6315,plain,
    ( ~ spl136_413
    | spl136_251
    | ~ spl136_410 ),
    inference(avatar_split_clause,[],[f6298,f3736,f2752,f3750]) ).

fof(f6317,plain,
    ( ~ spl136_295
    | ~ spl136_298 ),
    inference(avatar_split_clause,[],[f6260,f3004,f2988]) ).

fof(f6318,plain,
    ( ~ spl136_293
    | ~ spl136_298 ),
    inference(avatar_split_clause,[],[f6273,f3004,f2977]) ).

fof(f6319,plain,
    ( e10 != op1(e13,e12)
    | ~ spl136_265 ),
    inference(forward_demodulation,[],[f121,f2827]) ).

fof(f6320,plain,
    ( ~ spl136_282
    | ~ spl136_410 ),
    inference(avatar_split_clause,[],[f6266,f3736,f2917]) ).

fof(f6324,plain,
    ( ~ spl136_417
    | ~ spl136_265 ),
    inference(avatar_split_clause,[],[f6319,f2825,f3769]) ).

fof(f6326,plain,
    ( ~ spl136_390
    | ~ spl136_391 ),
    inference(avatar_split_clause,[],[f6269,f3650,f3646]) ).

fof(f6327,plain,
    ( ~ spl136_267
    | ~ spl136_392 ),
    inference(avatar_split_clause,[],[f5792,f3655,f2836]) ).

fof(f6329,plain,
    ( ~ spl136_394
    | ~ spl136_398 ),
    inference(avatar_split_clause,[],[f5793,f3681,f3664]) ).

fof(f6332,plain,
    ( ~ spl136_264
    | ~ spl136_416 ),
    inference(avatar_split_clause,[],[f5540,f3764,f2820]) ).

fof(f6431,plain,
    ( op2(e20,e21) = h2(e13)
    | ~ spl136_368 ),
    inference(forward_demodulation,[],[f835,f3518]) ).

fof(f6432,plain,
    ( e23 = h2(e13)
    | ~ spl136_364
    | ~ spl136_368 ),
    inference(forward_demodulation,[],[f6431,f3500]) ).

fof(f6433,plain,
    ( spl136_88
    | ~ spl136_364
    | ~ spl136_368 ),
    inference(avatar_split_clause,[],[f6432,f3516,f3498,f1764]) ).

fof(f6483,plain,
    ( e22 = op2(op2(e20,e21),e20)
    | ~ spl136_368 ),
    inference(forward_demodulation,[],[f829,f3518]) ).

fof(f6484,plain,
    ( e22 = op2(e23,e20)
    | ~ spl136_364
    | ~ spl136_368 ),
    inference(forward_demodulation,[],[f6483,f3500]) ).

fof(f6626,plain,
    ( h2(e12) = op2(op2(e20,e21),e20)
    | ~ spl136_368 ),
    inference(forward_demodulation,[],[f836,f3518]) ).

fof(f6627,plain,
    ( op2(e23,e20) = h2(e12)
    | ~ spl136_364
    | ~ spl136_368 ),
    inference(forward_demodulation,[],[f6626,f3500]) ).

fof(f6628,plain,
    ( e22 = h2(e12)
    | ~ spl136_362
    | ~ spl136_364
    | ~ spl136_368 ),
    inference(forward_demodulation,[],[f6627,f3491]) ).

fof(f6629,plain,
    ( spl136_83
    | ~ spl136_362
    | ~ spl136_364
    | ~ spl136_368 ),
    inference(avatar_split_clause,[],[f6628,f3516,f3498,f3489,f1733]) ).

fof(f6630,plain,
    ( e22 != op2(e22,e21)
    | ~ spl136_19
    | spl136_74
    | ~ spl136_83
    | ~ spl136_281 ),
    inference(superposition,[],[f4092,f1734]) ).

fof(f6632,plain,
    ( $false
    | ~ spl136_19
    | spl136_74
    | ~ spl136_83
    | ~ spl136_173
    | ~ spl136_281 ),
    inference(forward_subsumption_resolution,[],[f6630,f2190]) ).

fof(f6633,plain,
    ( ~ spl136_19
    | spl136_74
    | ~ spl136_83
    | ~ spl136_173
    | ~ spl136_281 ),
    inference(avatar_contradiction_clause,[],[f6632]) ).

fof(f6634,plain,
    ( op2(e20,e20) != h2(op1(e10,e10))
    | ~ spl136_15
    | spl136_65 ),
    inference(forward_demodulation,[],[f1662,f1424]) ).

fof(f6636,plain,
    ( op2(e20,e20) != h2(e10)
    | ~ spl136_15
    | spl136_65
    | ~ spl136_256 ),
    inference(forward_demodulation,[],[f6634,f2778]) ).

fof(f6638,plain,
    ( e20 != op2(e20,e20)
    | ~ spl136_15
    | spl136_65
    | ~ spl136_256 ),
    inference(forward_demodulation,[],[f6636,f1424]) ).

fof(f6640,plain,
    ( $false
    | ~ spl136_15
    | spl136_65
    | ~ spl136_148
    | ~ spl136_256 ),
    inference(forward_subsumption_resolution,[],[f6638,f2054]) ).

fof(f6641,plain,
    ( ~ spl136_15
    | spl136_65
    | ~ spl136_148
    | ~ spl136_256 ),
    inference(avatar_contradiction_clause,[],[f6640]) ).

fof(f6644,plain,
    ( h2(op1(e10,e11)) != op2(h2(e10),e21)
    | ~ spl136_19
    | spl136_66 ),
    inference(forward_demodulation,[],[f1666,f1443]) ).

fof(f6646,plain,
    ( op2(e20,e21) != h2(op1(e10,e11))
    | ~ spl136_15
    | ~ spl136_19
    | spl136_66 ),
    inference(forward_demodulation,[],[f6644,f1424]) ).

fof(f6648,plain,
    ( op2(e20,e21) != h2(e13)
    | ~ spl136_15
    | ~ spl136_19
    | spl136_66
    | ~ spl136_400 ),
    inference(forward_demodulation,[],[f6646,f3692]) ).

fof(f6649,plain,
    ( e23 != op2(e20,e21)
    | ~ spl136_15
    | ~ spl136_19
    | spl136_66
    | ~ spl136_88
    | ~ spl136_400 ),
    inference(forward_demodulation,[],[f6648,f1765]) ).

fof(f6650,plain,
    ( $false
    | ~ spl136_15
    | ~ spl136_19
    | spl136_66
    | ~ spl136_88
    | ~ spl136_364
    | ~ spl136_400 ),
    inference(forward_subsumption_resolution,[],[f6649,f3500]) ).

fof(f6651,plain,
    ( ~ spl136_15
    | ~ spl136_19
    | spl136_66
    | ~ spl136_88
    | ~ spl136_364
    | ~ spl136_400 ),
    inference(avatar_contradiction_clause,[],[f6650]) ).

fof(f6653,plain,
    ( h2(op1(e10,e12)) != op2(h2(e10),e22)
    | spl136_67
    | ~ spl136_83 ),
    inference(forward_demodulation,[],[f1670,f1734]) ).

fof(f6655,plain,
    ( op2(e20,e22) != h2(op1(e10,e12))
    | ~ spl136_15
    | spl136_67
    | ~ spl136_83 ),
    inference(forward_demodulation,[],[f6653,f1424]) ).

fof(f6657,plain,
    ( op2(e20,e22) != h2(e12)
    | ~ spl136_15
    | spl136_67
    | ~ spl136_83
    | ~ spl136_279 ),
    inference(forward_demodulation,[],[f6655,f2903]) ).

fof(f6659,plain,
    ( e22 != op2(e20,e22)
    | ~ spl136_15
    | spl136_67
    | ~ spl136_83
    | ~ spl136_279 ),
    inference(forward_demodulation,[],[f6657,f1734]) ).

fof(f6660,plain,
    ( $false
    | ~ spl136_15
    | spl136_67
    | ~ spl136_83
    | ~ spl136_171
    | ~ spl136_279 ),
    inference(forward_subsumption_resolution,[],[f6659,f2179]) ).

fof(f6661,plain,
    ( ~ spl136_15
    | spl136_67
    | ~ spl136_83
    | ~ spl136_171
    | ~ spl136_279 ),
    inference(avatar_contradiction_clause,[],[f6660]) ).

fof(f6663,plain,
    ( h2(op1(e10,e13)) != op2(h2(e10),e23)
    | spl136_68
    | ~ spl136_88 ),
    inference(forward_demodulation,[],[f1674,f1765]) ).

fof(f6665,plain,
    ( op2(e20,e23) != h2(op1(e10,e13))
    | ~ spl136_15
    | spl136_68
    | ~ spl136_88 ),
    inference(forward_demodulation,[],[f6663,f1424]) ).

fof(f6667,plain,
    ( op2(e20,e23) != h2(e11)
    | ~ spl136_15
    | spl136_68
    | ~ spl136_88
    | ~ spl136_391 ),
    inference(forward_demodulation,[],[f6665,f3652]) ).

fof(f6669,plain,
    ( e21 != op2(e20,e23)
    | ~ spl136_15
    | ~ spl136_19
    | spl136_68
    | ~ spl136_88
    | ~ spl136_391 ),
    inference(forward_demodulation,[],[f6667,f1443]) ).

fof(f6670,plain,
    ( $false
    | ~ spl136_15
    | ~ spl136_19
    | spl136_68
    | ~ spl136_88
    | ~ spl136_355
    | ~ spl136_391 ),
    inference(forward_subsumption_resolution,[],[f6669,f3460]) ).

fof(f6671,plain,
    ( ~ spl136_15
    | ~ spl136_19
    | spl136_68
    | ~ spl136_88
    | ~ spl136_355
    | ~ spl136_391 ),
    inference(avatar_contradiction_clause,[],[f6670]) ).

fof(f6673,plain,
    ( h2(op1(e11,e10)) != op2(h2(e11),e20)
    | ~ spl136_15
    | spl136_69 ),
    inference(forward_demodulation,[],[f1678,f1424]) ).

fof(f6675,plain,
    ( op2(e21,e20) != h2(op1(e11,e10))
    | ~ spl136_15
    | ~ spl136_19
    | spl136_69 ),
    inference(forward_demodulation,[],[f6673,f1443]) ).

fof(f6677,plain,
    ( op2(e21,e20) != h2(e13)
    | ~ spl136_15
    | ~ spl136_19
    | spl136_69
    | ~ spl136_402 ),
    inference(forward_demodulation,[],[f6675,f3701]) ).

fof(f6679,plain,
    ( e23 != op2(e21,e20)
    | ~ spl136_15
    | ~ spl136_19
    | spl136_69
    | ~ spl136_88
    | ~ spl136_402 ),
    inference(forward_demodulation,[],[f6677,f1765]) ).

fof(f6683,plain,
    ( op2(e21,e21) != h2(op1(e11,e11))
    | ~ spl136_19
    | spl136_70 ),
    inference(forward_demodulation,[],[f1682,f1443]) ).

fof(f6685,plain,
    ( op2(e21,e21) != h2(e10)
    | ~ spl136_19
    | spl136_70
    | ~ spl136_404 ),
    inference(forward_demodulation,[],[f6683,f3710]) ).

fof(f6687,plain,
    ( e20 != op2(e21,e21)
    | ~ spl136_15
    | ~ spl136_19
    | spl136_70
    | ~ spl136_404 ),
    inference(forward_demodulation,[],[f6685,f1424]) ).

fof(f6689,plain,
    ( $false
    | ~ spl136_15
    | ~ spl136_19
    | spl136_70
    | ~ spl136_368
    | ~ spl136_404 ),
    inference(forward_subsumption_resolution,[],[f6687,f3518]) ).

fof(f6690,plain,
    ( ~ spl136_15
    | ~ spl136_19
    | spl136_70
    | ~ spl136_368
    | ~ spl136_404 ),
    inference(avatar_contradiction_clause,[],[f6689]) ).

fof(f6692,plain,
    ( h2(op1(e11,e12)) != op2(h2(e11),e22)
    | spl136_71
    | ~ spl136_83 ),
    inference(forward_demodulation,[],[f1686,f1734]) ).

fof(f6694,plain,
    ( op2(e21,e22) != h2(op1(e11,e12))
    | ~ spl136_19
    | spl136_71
    | ~ spl136_83 ),
    inference(forward_demodulation,[],[f6692,f1443]) ).

fof(f6696,plain,
    ( op2(e21,e22) != h2(e11)
    | ~ spl136_19
    | spl136_71
    | ~ spl136_83
    | ~ spl136_272 ),
    inference(forward_demodulation,[],[f6694,f2866]) ).

fof(f6697,plain,
    ( e21 != op2(e21,e22)
    | ~ spl136_19
    | spl136_71
    | ~ spl136_83
    | ~ spl136_272 ),
    inference(forward_demodulation,[],[f6696,f1443]) ).

fof(f6698,plain,
    ( $false
    | ~ spl136_19
    | spl136_71
    | ~ spl136_83
    | ~ spl136_164
    | ~ spl136_272 ),
    inference(forward_subsumption_resolution,[],[f6697,f2142]) ).

fof(f6699,plain,
    ( ~ spl136_19
    | spl136_71
    | ~ spl136_83
    | ~ spl136_164
    | ~ spl136_272 ),
    inference(avatar_contradiction_clause,[],[f6698]) ).

fof(f6701,plain,
    ( h2(op1(e11,e13)) != op2(h2(e11),e23)
    | spl136_72
    | ~ spl136_88 ),
    inference(forward_demodulation,[],[f1690,f1765]) ).

fof(f6703,plain,
    ( op2(e21,e23) != h2(op1(e11,e13))
    | ~ spl136_19
    | spl136_72
    | ~ spl136_88 ),
    inference(forward_demodulation,[],[f6701,f1443]) ).

fof(f6705,plain,
    ( op2(e21,e23) != h2(e12)
    | ~ spl136_19
    | spl136_72
    | ~ spl136_88
    | ~ spl136_410 ),
    inference(forward_demodulation,[],[f6703,f3738]) ).

fof(f6707,plain,
    ( e22 != op2(e21,e23)
    | ~ spl136_19
    | spl136_72
    | ~ spl136_83
    | ~ spl136_88
    | ~ spl136_410 ),
    inference(forward_demodulation,[],[f6705,f1734]) ).

fof(f6708,plain,
    ( $false
    | ~ spl136_19
    | spl136_72
    | ~ spl136_83
    | ~ spl136_88
    | ~ spl136_374
    | ~ spl136_410 ),
    inference(forward_subsumption_resolution,[],[f6707,f3546]) ).

fof(f6709,plain,
    ( ~ spl136_19
    | spl136_72
    | ~ spl136_83
    | ~ spl136_88
    | ~ spl136_374
    | ~ spl136_410 ),
    inference(avatar_contradiction_clause,[],[f6708]) ).

fof(f6711,plain,
    ( h2(op1(e12,e10)) != op2(h2(e12),e20)
    | ~ spl136_15
    | spl136_73 ),
    inference(forward_demodulation,[],[f1694,f1424]) ).

fof(f6713,plain,
    ( op2(e22,e20) != h2(op1(e12,e10))
    | ~ spl136_15
    | spl136_73
    | ~ spl136_83 ),
    inference(forward_demodulation,[],[f6711,f1734]) ).

fof(f6715,plain,
    ( op2(e22,e20) != h2(e11)
    | ~ spl136_15
    | spl136_73
    | ~ spl136_83
    | ~ spl136_392 ),
    inference(forward_demodulation,[],[f6713,f3657]) ).

fof(f6717,plain,
    ( e21 != op2(e22,e20)
    | ~ spl136_15
    | ~ spl136_19
    | spl136_73
    | ~ spl136_83
    | ~ spl136_392 ),
    inference(forward_demodulation,[],[f6715,f1443]) ).

fof(f6718,plain,
    ( $false
    | ~ spl136_15
    | ~ spl136_19
    | spl136_73
    | ~ spl136_83
    | ~ spl136_356
    | ~ spl136_392 ),
    inference(forward_subsumption_resolution,[],[f6717,f3465]) ).

fof(f6719,plain,
    ( ~ spl136_15
    | ~ spl136_19
    | spl136_73
    | ~ spl136_83
    | ~ spl136_356
    | ~ spl136_392 ),
    inference(avatar_contradiction_clause,[],[f6718]) ).

fof(f6721,plain,
    ( op2(e22,e22) != h2(op1(e12,e12))
    | spl136_75
    | ~ spl136_83 ),
    inference(forward_demodulation,[],[f1702,f1734]) ).

fof(f6723,plain,
    ( op2(e22,e22) != h2(e13)
    | spl136_75
    | ~ spl136_83
    | ~ spl136_421 ),
    inference(forward_demodulation,[],[f6721,f3792]) ).

fof(f6725,plain,
    ( e23 != op2(e22,e22)
    | spl136_75
    | ~ spl136_83
    | ~ spl136_88
    | ~ spl136_421 ),
    inference(forward_demodulation,[],[f6723,f1765]) ).

fof(f6727,plain,
    ( $false
    | spl136_75
    | ~ spl136_83
    | ~ spl136_88
    | ~ spl136_385
    | ~ spl136_421 ),
    inference(forward_subsumption_resolution,[],[f6725,f3600]) ).

fof(f6728,plain,
    ( spl136_75
    | ~ spl136_83
    | ~ spl136_88
    | ~ spl136_385
    | ~ spl136_421 ),
    inference(avatar_contradiction_clause,[],[f6727]) ).

fof(f6730,plain,
    ( h2(op1(e12,e13)) != op2(h2(e12),e23)
    | spl136_76
    | ~ spl136_88 ),
    inference(forward_demodulation,[],[f1706,f1765]) ).

fof(f6732,plain,
    ( op2(e22,e23) != h2(op1(e12,e13))
    | spl136_76
    | ~ spl136_83
    | ~ spl136_88 ),
    inference(forward_demodulation,[],[f6730,f1734]) ).

fof(f6734,plain,
    ( op2(e22,e23) != h2(e10)
    | spl136_76
    | ~ spl136_83
    | ~ spl136_88
    | ~ spl136_416 ),
    inference(forward_demodulation,[],[f6732,f3766]) ).

fof(f6735,plain,
    ( e20 != op2(e22,e23)
    | ~ spl136_15
    | spl136_76
    | ~ spl136_83
    | ~ spl136_88
    | ~ spl136_416 ),
    inference(forward_demodulation,[],[f6734,f1424]) ).

fof(f6736,plain,
    ( $false
    | ~ spl136_15
    | spl136_76
    | ~ spl136_83
    | ~ spl136_88
    | ~ spl136_380
    | ~ spl136_416 ),
    inference(forward_subsumption_resolution,[],[f6735,f3574]) ).

fof(f6737,plain,
    ( ~ spl136_15
    | spl136_76
    | ~ spl136_83
    | ~ spl136_88
    | ~ spl136_380
    | ~ spl136_416 ),
    inference(avatar_contradiction_clause,[],[f6736]) ).

fof(f6739,plain,
    ( h2(op1(e13,e10)) != op2(h2(e13),e20)
    | ~ spl136_15
    | spl136_77 ),
    inference(forward_demodulation,[],[f1710,f1424]) ).

fof(f6741,plain,
    ( op2(e23,e20) != h2(op1(e13,e10))
    | ~ spl136_15
    | spl136_77
    | ~ spl136_88 ),
    inference(forward_demodulation,[],[f6739,f1765]) ).

fof(f6743,plain,
    ( op2(e23,e20) != h2(e12)
    | ~ spl136_15
    | spl136_77
    | ~ spl136_88
    | ~ spl136_398 ),
    inference(forward_demodulation,[],[f6741,f3683]) ).

fof(f6745,plain,
    ( e22 != op2(e23,e20)
    | ~ spl136_15
    | spl136_77
    | ~ spl136_83
    | ~ spl136_88
    | ~ spl136_398 ),
    inference(forward_demodulation,[],[f6743,f1734]) ).

fof(f6746,plain,
    ( $false
    | ~ spl136_15
    | spl136_77
    | ~ spl136_83
    | ~ spl136_88
    | ~ spl136_362
    | ~ spl136_398 ),
    inference(forward_subsumption_resolution,[],[f6745,f3491]) ).

fof(f6747,plain,
    ( ~ spl136_15
    | spl136_77
    | ~ spl136_83
    | ~ spl136_88
    | ~ spl136_362
    | ~ spl136_398 ),
    inference(avatar_contradiction_clause,[],[f6746]) ).

fof(f6749,plain,
    ( h2(op1(e13,e11)) != op2(h2(e13),e21)
    | ~ spl136_19
    | spl136_78 ),
    inference(forward_demodulation,[],[f1714,f1443]) ).

fof(f6751,plain,
    ( op2(e23,e21) != h2(op1(e13,e11))
    | ~ spl136_19
    | spl136_78
    | ~ spl136_88 ),
    inference(forward_demodulation,[],[f6749,f1765]) ).

fof(f6753,plain,
    ( op2(e23,e21) != h2(e11)
    | ~ spl136_19
    | spl136_78
    | ~ spl136_88
    | ~ spl136_276 ),
    inference(forward_demodulation,[],[f6751,f2887]) ).

fof(f6755,plain,
    ( e21 != op2(e23,e21)
    | ~ spl136_19
    | spl136_78
    | ~ spl136_88
    | ~ spl136_276 ),
    inference(forward_demodulation,[],[f6753,f1443]) ).

fof(f6756,plain,
    ( $false
    | ~ spl136_19
    | spl136_78
    | ~ spl136_88
    | ~ spl136_168
    | ~ spl136_276 ),
    inference(forward_subsumption_resolution,[],[f6755,f2163]) ).

fof(f6757,plain,
    ( ~ spl136_19
    | spl136_78
    | ~ spl136_88
    | ~ spl136_168
    | ~ spl136_276 ),
    inference(avatar_contradiction_clause,[],[f6756]) ).

fof(f6759,plain,
    ( h2(op1(e13,e12)) != op2(h2(e13),e22)
    | spl136_79
    | ~ spl136_83 ),
    inference(forward_demodulation,[],[f1718,f1734]) ).

fof(f6761,plain,
    ( op2(e23,e22) != h2(op1(e13,e12))
    | spl136_79
    | ~ spl136_83
    | ~ spl136_88 ),
    inference(forward_demodulation,[],[f6759,f1765]) ).

fof(f6763,plain,
    ( op2(e23,e22) != h2(e10)
    | spl136_79
    | ~ spl136_83
    | ~ spl136_88
    | ~ spl136_417 ),
    inference(forward_demodulation,[],[f6761,f3771]) ).

fof(f6765,plain,
    ( e20 != op2(e23,e22)
    | ~ spl136_15
    | spl136_79
    | ~ spl136_83
    | ~ spl136_88
    | ~ spl136_417 ),
    inference(forward_demodulation,[],[f6763,f1424]) ).

fof(f6766,plain,
    ( $false
    | ~ spl136_15
    | spl136_79
    | ~ spl136_83
    | ~ spl136_88
    | ~ spl136_381
    | ~ spl136_417 ),
    inference(forward_subsumption_resolution,[],[f6765,f3579]) ).

fof(f6767,plain,
    ( ~ spl136_15
    | spl136_79
    | ~ spl136_83
    | ~ spl136_88
    | ~ spl136_381
    | ~ spl136_417 ),
    inference(avatar_contradiction_clause,[],[f6766]) ).

fof(f6769,plain,
    ( op2(e23,e23) != h2(op1(e13,e13))
    | spl136_80
    | ~ spl136_88 ),
    inference(forward_demodulation,[],[f1722,f1765]) ).

fof(f6771,plain,
    ( op2(e23,e23) != h2(e13)
    | spl136_80
    | ~ spl136_88
    | ~ spl136_298 ),
    inference(forward_demodulation,[],[f6769,f3006]) ).

fof(f6773,plain,
    ( e23 != op2(e23,e23)
    | spl136_80
    | ~ spl136_88
    | ~ spl136_298 ),
    inference(forward_demodulation,[],[f6771,f1765]) ).

fof(f6775,plain,
    ( $false
    | spl136_80
    | ~ spl136_88
    | ~ spl136_190
    | ~ spl136_298 ),
    inference(forward_subsumption_resolution,[],[f6773,f2282]) ).

fof(f6776,plain,
    ( spl136_80
    | ~ spl136_88
    | ~ spl136_190
    | ~ spl136_298 ),
    inference(avatar_contradiction_clause,[],[f6775]) ).

fof(f6781,plain,
    ( ~ spl136_366
    | ~ spl136_15
    | ~ spl136_19
    | spl136_69
    | ~ spl136_88
    | ~ spl136_402 ),
    inference(avatar_split_clause,[],[f6679,f3699,f1764,f1676,f1442,f1423,f3507]) ).

fof(f6784,plain,
    ( ~ spl136_362
    | ~ spl136_179 ),
    inference(avatar_split_clause,[],[f5569,f2221,f3489]) ).

fof(f6787,plain,
    ( ~ spl136_385
    | ~ spl136_367 ),
    inference(avatar_split_clause,[],[f5802,f3511,f3598]) ).

fof(f6794,plain,
    ( spl136_362
    | ~ spl136_364
    | ~ spl136_368 ),
    inference(avatar_split_clause,[],[f6484,f3516,f3498,f3489]) ).

fof(f6803,plain,
    ( ~ spl136_153
    | ~ spl136_381 ),
    inference(avatar_split_clause,[],[f6143,f3577,f2080]) ).

cnf(s12,plain,
    ( spl136_11
    | ~ spl136_15 ),
    inference(sat_conversion,[],[f1426]) ).

cnf(s15,plain,
    ( spl136_16
    | ~ spl136_19 ),
    inference(sat_conversion,[],[f1445]) ).

cnf(s62,plain,
    ( ~ spl136_11
    | ~ spl136_16
    | ~ spl136_65
    | ~ spl136_66
    | ~ spl136_67
    | ~ spl136_68
    | ~ spl136_69
    | ~ spl136_70
    | ~ spl136_71
    | ~ spl136_72
    | ~ spl136_73
    | ~ spl136_74
    | ~ spl136_75
    | ~ spl136_76
    | ~ spl136_77
    | ~ spl136_78
    | ~ spl136_79
    | ~ spl136_80
    | ~ spl136_83
    | ~ spl136_88 ),
    inference(sat_conversion,[],[f1768]) ).

cnf(s97,plain,
    spl136_134,
    inference(sat_conversion,[],[f1995]) ).

cnf(s98,plain,
    spl136_108,
    inference(sat_conversion,[],[f1996]) ).

cnf(s99,plain,
    spl136_19,
    inference(sat_conversion,[],[f1997]) ).

cnf(s104,plain,
    ( spl136_137
    | ~ spl136_141 ),
    inference(sat_conversion,[],[f2022]) ).

cnf(s106,plain,
    ( ~ spl136_142
    | ~ spl136_144 ),
    inference(sat_conversion,[],[f2036]) ).

cnf(s361,plain,
    ( ~ spl136_137
    | spl136_142
    | ~ spl136_237
    | ~ spl136_242 ),
    inference(sat_conversion,[],[f2683]) ).

cnf(s389,plain,
    ( spl136_148
    | spl136_159
    | spl136_170
    | spl136_181 ),
    inference(sat_conversion,[],[f2719]) ).

cnf(s390,plain,
    ( spl136_150
    | spl136_162
    | spl136_173
    | spl136_184 ),
    inference(sat_conversion,[],[f2720]) ).

cnf(s391,plain,
    ( spl136_153
    | spl136_164
    | spl136_176
    | spl136_187 ),
    inference(sat_conversion,[],[f2721]) ).

cnf(s392,plain,
    ( spl136_156
    | spl136_167
    | spl136_178
    | spl136_190 ),
    inference(sat_conversion,[],[f2722]) ).

cnf(s393,plain,
    ( ~ spl136_245
    | ~ spl136_246 ),
    inference(sat_conversion,[],[f2731]) ).

cnf(s394,plain,
    ( ~ spl136_245
    | ~ spl136_247 ),
    inference(sat_conversion,[],[f2736]) ).

cnf(s396,plain,
    ( ~ spl136_245
    | ~ spl136_249 ),
    inference(sat_conversion,[],[f2746]) ).

cnf(s397,plain,
    ( spl136_250
    | ~ spl136_251 ),
    inference(sat_conversion,[],[f2755]) ).

cnf(s398,plain,
    ( spl136_250
    | ~ spl136_252 ),
    inference(sat_conversion,[],[f2760]) ).

cnf(s404,plain,
    ( ~ spl136_255
    | spl136_256 ),
    inference(sat_conversion,[],[f2782]) ).

cnf(s405,plain,
    ( spl136_257
    | spl136_258 ),
    inference(sat_conversion,[],[f2791]) ).

cnf(s412,plain,
    ( spl136_256
    | ~ spl136_260 ),
    inference(sat_conversion,[],[f2814]) ).

cnf(s416,plain,
    ( spl136_256
    | ~ spl136_263 ),
    inference(sat_conversion,[],[f2830]) ).

cnf(s420,plain,
    ( spl136_258
    | spl136_266 ),
    inference(sat_conversion,[],[f2846]) ).

cnf(s424,plain,
    ( spl136_258
    | spl136_269 ),
    inference(sat_conversion,[],[f2858]) ).

cnf(s428,plain,
    ( spl136_258
    | spl136_271 ),
    inference(sat_conversion,[],[f2874]) ).

cnf(s432,plain,
    ( spl136_258
    | ~ spl136_274 ),
    inference(sat_conversion,[],[f2890]) ).

cnf(s434,plain,
    ( ~ spl136_277
    | spl136_279 ),
    inference(sat_conversion,[],[f2904]) ).

cnf(s436,plain,
    ( spl136_261
    | ~ spl136_277 ),
    inference(sat_conversion,[],[f2906]) ).

cnf(s438,plain,
    ( ~ spl136_280
    | spl136_282 ),
    inference(sat_conversion,[],[f2920]) ).

cnf(s439,plain,
    ( spl136_262
    | ~ spl136_280 ),
    inference(sat_conversion,[],[f2921]) ).

cnf(s440,plain,
    ( spl136_261
    | ~ spl136_280 ),
    inference(sat_conversion,[],[f2922]) ).

cnf(s442,plain,
    ( ~ spl136_283
    | spl136_284 ),
    inference(sat_conversion,[],[f2932]) ).

cnf(s443,plain,
    ( spl136_262
    | ~ spl136_283 ),
    inference(sat_conversion,[],[f2933]) ).

cnf(s444,plain,
    ( spl136_261
    | ~ spl136_283 ),
    inference(sat_conversion,[],[f2934]) ).

cnf(s445,plain,
    ( spl136_285
    | spl136_286 ),
    inference(sat_conversion,[],[f2943]) ).

cnf(s447,plain,
    ( spl136_262
    | spl136_285 ),
    inference(sat_conversion,[],[f2949]) ).

cnf(s448,plain,
    ( spl136_261
    | spl136_285 ),
    inference(sat_conversion,[],[f2950]) ).

cnf(s449,plain,
    ( spl136_288
    | spl136_289 ),
    inference(sat_conversion,[],[f2959]) ).

cnf(s450,plain,
    ( spl136_288
    | spl136_290 ),
    inference(sat_conversion,[],[f2964]) ).

cnf(s451,plain,
    ( spl136_265
    | spl136_288 ),
    inference(sat_conversion,[],[f2965]) ).

cnf(s453,plain,
    ( spl136_291
    | spl136_292 ),
    inference(sat_conversion,[],[f2975]) ).

cnf(s457,plain,
    ( spl136_294
    | spl136_295 ),
    inference(sat_conversion,[],[f2991]) ).

cnf(s458,plain,
    ( spl136_294
    | spl136_296 ),
    inference(sat_conversion,[],[f2996]) ).

cnf(s459,plain,
    ( spl136_265
    | spl136_294 ),
    inference(sat_conversion,[],[f2997]) ).

cnf(s462,plain,
    ( ~ spl136_297
    | spl136_298 ),
    inference(sat_conversion,[],[f3008]) ).

cnf(s467,plain,
    ( spl136_268
    | ~ spl136_299 ),
    inference(sat_conversion,[],[f3017]) ).

cnf(s471,plain,
    ( spl136_268
    | spl136_300 ),
    inference(sat_conversion,[],[f3025]) ).

cnf(s475,plain,
    ( spl136_268
    | ~ spl136_301 ),
    inference(sat_conversion,[],[f3033]) ).

cnf(s479,plain,
    ( spl136_268
    | spl136_302 ),
    inference(sat_conversion,[],[f3041]) ).

cnf(s484,plain,
    ( spl136_270
    | ~ spl136_303 ),
    inference(sat_conversion,[],[f3050]) ).

cnf(s488,plain,
    ( spl136_270
    | spl136_304 ),
    inference(sat_conversion,[],[f3058]) ).

cnf(s492,plain,
    ( spl136_270
    | ~ spl136_305 ),
    inference(sat_conversion,[],[f3066]) ).

cnf(s496,plain,
    ( spl136_270
    | spl136_306 ),
    inference(sat_conversion,[],[f3074]) ).

cnf(s499,plain,
    ( spl136_273
    | spl136_307 ),
    inference(sat_conversion,[],[f3081]) ).

cnf(s503,plain,
    ( spl136_273
    | spl136_308 ),
    inference(sat_conversion,[],[f3089]) ).

cnf(s507,plain,
    ( spl136_273
    | spl136_309 ),
    inference(sat_conversion,[],[f3097]) ).

cnf(s511,plain,
    ( spl136_273
    | spl136_310 ),
    inference(sat_conversion,[],[f3105]) ).

cnf(s514,plain,
    ( spl136_290
    | ~ spl136_311 ),
    inference(sat_conversion,[],[f3112]) ).

cnf(s516,plain,
    ( spl136_275
    | ~ spl136_311 ),
    inference(sat_conversion,[],[f3114]) ).

cnf(s517,plain,
    ( spl136_292
    | ~ spl136_312 ),
    inference(sat_conversion,[],[f3119]) ).

cnf(s521,plain,
    ( spl136_295
    | ~ spl136_313 ),
    inference(sat_conversion,[],[f3127]) ).

cnf(s522,plain,
    ( spl136_296
    | ~ spl136_313 ),
    inference(sat_conversion,[],[f3128]) ).

cnf(s524,plain,
    ( spl136_275
    | ~ spl136_313 ),
    inference(sat_conversion,[],[f3130]) ).

cnf(s526,plain,
    ( spl136_298
    | spl136_314 ),
    inference(sat_conversion,[],[f3136]) ).

cnf(s530,plain,
    ( spl136_256
    | spl136_315 ),
    inference(sat_conversion,[],[f3144]) ).

cnf(s533,plain,
    ( spl136_258
    | spl136_316 ),
    inference(sat_conversion,[],[f3151]) ).

cnf(s537,plain,
    ( spl136_261
    | ~ spl136_317 ),
    inference(sat_conversion,[],[f3159]) ).

cnf(s539,plain,
    ( spl136_279
    | ~ spl136_317 ),
    inference(sat_conversion,[],[f3161]) ).

cnf(s542,plain,
    ( spl136_265
    | spl136_318 ),
    inference(sat_conversion,[],[f3168]) ).

cnf(s543,plain,
    ( spl136_279
    | spl136_318 ),
    inference(sat_conversion,[],[f3169]) ).

cnf(s544,plain,
    ( spl136_278
    | spl136_318 ),
    inference(sat_conversion,[],[f3170]) ).

cnf(s546,plain,
    ( spl136_268
    | ~ spl136_319 ),
    inference(sat_conversion,[],[f3176]) ).

cnf(s550,plain,
    ( spl136_270
    | spl136_320 ),
    inference(sat_conversion,[],[f3184]) ).

cnf(s554,plain,
    ( spl136_273
    | ~ spl136_321 ),
    inference(sat_conversion,[],[f3192]) ).

cnf(s557,plain,
    ( spl136_275
    | spl136_322 ),
    inference(sat_conversion,[],[f3199]) ).

cnf(s559,plain,
    ( spl136_282
    | spl136_322 ),
    inference(sat_conversion,[],[f3201]) ).

cnf(s562,plain,
    ( spl136_279
    | ~ spl136_323 ),
    inference(sat_conversion,[],[f3208]) ).

cnf(s564,plain,
    ( spl136_284
    | ~ spl136_323 ),
    inference(sat_conversion,[],[f3210]) ).

cnf(s566,plain,
    ( spl136_282
    | spl136_324 ),
    inference(sat_conversion,[],[f3216]) ).

cnf(s568,plain,
    ( spl136_284
    | spl136_324 ),
    inference(sat_conversion,[],[f3218]) ).

cnf(s572,plain,
    ( spl136_284
    | spl136_325 ),
    inference(sat_conversion,[],[f3226]) ).

cnf(s573,plain,
    ( spl136_286
    | spl136_326 ),
    inference(sat_conversion,[],[f3231]) ).

cnf(s574,plain,
    ( spl136_287
    | spl136_326 ),
    inference(sat_conversion,[],[f3232]) ).

cnf(s576,plain,
    ( spl136_284
    | spl136_326 ),
    inference(sat_conversion,[],[f3234]) ).

cnf(s577,plain,
    ( spl136_289
    | ~ spl136_327 ),
    inference(sat_conversion,[],[f3239]) ).

cnf(s578,plain,
    ( spl136_290
    | ~ spl136_327 ),
    inference(sat_conversion,[],[f3240]) ).

cnf(s580,plain,
    ( spl136_286
    | ~ spl136_327 ),
    inference(sat_conversion,[],[f3242]) ).

cnf(s581,plain,
    ( spl136_292
    | ~ spl136_328 ),
    inference(sat_conversion,[],[f3247]) ).

cnf(s585,plain,
    ( spl136_295
    | ~ spl136_329 ),
    inference(sat_conversion,[],[f3255]) ).

cnf(s586,plain,
    ( spl136_296
    | ~ spl136_329 ),
    inference(sat_conversion,[],[f3256]) ).

cnf(s587,plain,
    ( spl136_287
    | ~ spl136_329 ),
    inference(sat_conversion,[],[f3257]) ).

cnf(s590,plain,
    ( spl136_298
    | ~ spl136_330 ),
    inference(sat_conversion,[],[f3264]) ).

cnf(s592,plain,
    ( spl136_286
    | ~ spl136_330 ),
    inference(sat_conversion,[],[f3266]) ).

cnf(s594,plain,
    ( spl136_256
    | spl136_331 ),
    inference(sat_conversion,[],[f3272]) ).

cnf(s597,plain,
    ( spl136_258
    | spl136_332 ),
    inference(sat_conversion,[],[f3279]) ).

cnf(s601,plain,
    ( spl136_261
    | ~ spl136_333 ),
    inference(sat_conversion,[],[f3287]) ).

cnf(s602,plain,
    ( spl136_262
    | ~ spl136_333 ),
    inference(sat_conversion,[],[f3288]) ).

cnf(s603,plain,
    ( spl136_290
    | ~ spl136_333 ),
    inference(sat_conversion,[],[f3289]) ).

cnf(s606,plain,
    ( spl136_265
    | ~ spl136_334 ),
    inference(sat_conversion,[],[f3296]) ).

cnf(s607,plain,
    ( spl136_290
    | ~ spl136_334 ),
    inference(sat_conversion,[],[f3297]) ).

cnf(s608,plain,
    ( spl136_289
    | ~ spl136_334 ),
    inference(sat_conversion,[],[f3298]) ).

cnf(s610,plain,
    ( spl136_268
    | spl136_335 ),
    inference(sat_conversion,[],[f3304]) ).

cnf(s614,plain,
    ( spl136_270
    | ~ spl136_336 ),
    inference(sat_conversion,[],[f3312]) ).

cnf(s618,plain,
    ( spl136_273
    | ~ spl136_337 ),
    inference(sat_conversion,[],[f3320]) ).

cnf(s624,plain,
    ( spl136_292
    | spl136_338 ),
    inference(sat_conversion,[],[f3330]) ).

cnf(s626,plain,
    ( spl136_279
    | spl136_339 ),
    inference(sat_conversion,[],[f3336]) ).

cnf(s627,plain,
    ( spl136_296
    | spl136_339 ),
    inference(sat_conversion,[],[f3337]) ).

cnf(s628,plain,
    ( spl136_295
    | spl136_339 ),
    inference(sat_conversion,[],[f3338]) ).

cnf(s630,plain,
    ( spl136_282
    | spl136_340 ),
    inference(sat_conversion,[],[f3344]) ).

cnf(s631,plain,
    ( spl136_296
    | spl136_340 ),
    inference(sat_conversion,[],[f3345]) ).

cnf(s634,plain,
    ( spl136_284
    | spl136_341 ),
    inference(sat_conversion,[],[f3352]) ).

cnf(s635,plain,
    ( spl136_296
    | spl136_341 ),
    inference(sat_conversion,[],[f3353]) ).

cnf(s636,plain,
    ( spl136_295
    | spl136_341 ),
    inference(sat_conversion,[],[f3354]) ).

cnf(s638,plain,
    ( spl136_287
    | ~ spl136_342 ),
    inference(sat_conversion,[],[f3360]) ).

cnf(s639,plain,
    ( spl136_296
    | ~ spl136_342 ),
    inference(sat_conversion,[],[f3361]) ).

cnf(s640,plain,
    ( spl136_295
    | ~ spl136_342 ),
    inference(sat_conversion,[],[f3362]) ).

cnf(s642,plain,
    ( spl136_290
    | ~ spl136_343 ),
    inference(sat_conversion,[],[f3368]) ).

cnf(s644,plain,
    ( spl136_298
    | ~ spl136_343 ),
    inference(sat_conversion,[],[f3370]) ).

cnf(s645,plain,
    ( spl136_292
    | spl136_344 ),
    inference(sat_conversion,[],[f3375]) ).

cnf(s653,plain,
    ( spl136_245
    | ~ spl136_250
    | ~ spl136_345
    | ~ spl136_350 ),
    inference(sat_conversion,[],[f3407]) ).

cnf(s655,plain,
    ( spl136_245
    | ~ spl136_250
    | ~ spl136_348
    | ~ spl136_350 ),
    inference(sat_conversion,[],[f3409]) ).

cnf(s678,plain,
    ( spl136_255
    | ~ spl136_257
    | spl136_260
    | spl136_263
    | ~ spl136_266
    | ~ spl136_269
    | ~ spl136_271
    | spl136_274
    | spl136_277
    | spl136_280
    | spl136_283
    | ~ spl136_285
    | ~ spl136_288
    | ~ spl136_291
    | ~ spl136_294
    | spl136_296
    | spl136_297
    | spl136_298
    | spl136_299
    | ~ spl136_300
    | spl136_301
    | ~ spl136_302
    | spl136_303
    | ~ spl136_304
    | spl136_305
    | ~ spl136_306
    | ~ spl136_307
    | ~ spl136_308
    | ~ spl136_309
    | ~ spl136_310
    | spl136_311
    | spl136_312
    | spl136_313
    | ~ spl136_314
    | ~ spl136_315
    | ~ spl136_316
    | spl136_317
    | ~ spl136_318
    | spl136_319
    | ~ spl136_320
    | spl136_321
    | ~ spl136_322
    | spl136_323
    | ~ spl136_324
    | ~ spl136_325
    | ~ spl136_326
    | spl136_327
    | spl136_328
    | spl136_329
    | spl136_330
    | ~ spl136_331
    | ~ spl136_332
    | spl136_333
    | spl136_334
    | ~ spl136_335
    | spl136_336
    | spl136_337
    | ~ spl136_338
    | ~ spl136_339
    | ~ spl136_340
    | ~ spl136_341
    | spl136_342
    | spl136_343
    | ~ spl136_344 ),
    inference(sat_conversion,[],[f3440]) ).

cnf(s680,plain,
    ( spl136_255
    | ~ spl136_257
    | spl136_260
    | spl136_263
    | ~ spl136_266
    | ~ spl136_269
    | ~ spl136_271
    | spl136_274
    | spl136_277
    | spl136_280
    | spl136_283
    | ~ spl136_285
    | ~ spl136_288
    | ~ spl136_291
    | ~ spl136_294
    | spl136_297
    | spl136_298
    | spl136_299
    | ~ spl136_300
    | spl136_301
    | ~ spl136_302
    | spl136_303
    | ~ spl136_304
    | spl136_305
    | ~ spl136_306
    | ~ spl136_307
    | ~ spl136_308
    | ~ spl136_309
    | ~ spl136_310
    | spl136_311
    | spl136_312
    | spl136_313
    | ~ spl136_314
    | ~ spl136_315
    | ~ spl136_316
    | spl136_317
    | ~ spl136_318
    | spl136_319
    | ~ spl136_320
    | spl136_321
    | ~ spl136_322
    | spl136_323
    | ~ spl136_324
    | ~ spl136_325
    | ~ spl136_326
    | spl136_327
    | spl136_328
    | spl136_329
    | spl136_330
    | ~ spl136_331
    | ~ spl136_332
    | spl136_333
    | spl136_334
    | ~ spl136_335
    | spl136_336
    | spl136_337
    | ~ spl136_338
    | ~ spl136_339
    | ~ spl136_340
    | ~ spl136_341
    | spl136_342
    | spl136_343
    | ~ spl136_344 ),
    inference(sat_conversion,[],[f3442]) ).

cnf(s681,plain,
    ( spl136_256
    | spl136_267
    | spl136_278
    | spl136_289 ),
    inference(sat_conversion,[],[f3443]) ).

cnf(s682,plain,
    ( spl136_258
    | spl136_270
    | spl136_281
    | spl136_292 ),
    inference(sat_conversion,[],[f3444]) ).

cnf(s683,plain,
    ( spl136_261
    | spl136_272
    | spl136_284
    | spl136_295 ),
    inference(sat_conversion,[],[f3445]) ).

cnf(s684,plain,
    ( spl136_264
    | spl136_275
    | spl136_286
    | spl136_298 ),
    inference(sat_conversion,[],[f3446]) ).

cnf(s685,plain,
    ( spl136_148
    | spl136_150
    | spl136_153
    | spl136_156 ),
    inference(sat_conversion,[],[f3447]) ).

cnf(s686,plain,
    ( spl136_148
    | spl136_151
    | spl136_154
    | spl136_157 ),
    inference(sat_conversion,[],[f3448]) ).

cnf(s687,plain,
    ( spl136_160
    | spl136_353
    | spl136_354
    | spl136_355 ),
    inference(sat_conversion,[],[f3461]) ).

cnf(s689,plain,
    ( spl136_171
    | spl136_358
    | spl136_359
    | spl136_360 ),
    inference(sat_conversion,[],[f3483]) ).

cnf(s692,plain,
    ( spl136_181
    | spl136_363
    | spl136_366
    | spl136_367 ),
    inference(sat_conversion,[],[f3514]) ).

cnf(s696,plain,
    ( spl136_160
    | spl136_162
    | spl136_165
    | spl136_168 ),
    inference(sat_conversion,[],[f3538]) ).

cnf(s697,plain,
    ( spl136_174
    | spl136_361
    | spl136_373
    | spl136_374 ),
    inference(sat_conversion,[],[f3547]) ).

cnf(s698,plain,
    ( spl136_173
    | spl136_359
    | spl136_373
    | spl136_375 ),
    inference(sat_conversion,[],[f3552]) ).

cnf(s699,plain,
    ( spl136_185
    | spl136_366
    | spl136_376
    | spl136_377 ),
    inference(sat_conversion,[],[f3561]) ).

cnf(s701,plain,
    ( spl136_154
    | spl136_371
    | spl136_379
    | spl136_380 ),
    inference(sat_conversion,[],[f3575]) ).

cnf(s702,plain,
    ( spl136_153
    | spl136_369
    | spl136_379
    | spl136_381 ),
    inference(sat_conversion,[],[f3580]) ).

cnf(s703,plain,
    ( spl136_165
    | spl136_356
    | spl136_382
    | spl136_383 ),
    inference(sat_conversion,[],[f3589]) ).

cnf(s706,plain,
    ( spl136_171
    | spl136_174
    | spl136_176
    | spl136_179 ),
    inference(sat_conversion,[],[f3596]) ).

cnf(s707,plain,
    ( spl136_188
    | spl136_367
    | spl136_378
    | spl136_385 ),
    inference(sat_conversion,[],[f3601]) ).

cnf(s708,plain,
    ( spl136_187
    | spl136_365
    | spl136_377
    | spl136_385 ),
    inference(sat_conversion,[],[f3602]) ).

cnf(s709,plain,
    ( spl136_157
    | spl136_372
    | spl136_381
    | spl136_386 ),
    inference(sat_conversion,[],[f3607]) ).

cnf(s710,plain,
    ( spl136_156
    | spl136_370
    | spl136_380
    | spl136_386 ),
    inference(sat_conversion,[],[f3608]) ).

cnf(s714,plain,
    ( spl136_178
    | spl136_360
    | spl136_374
    | spl136_388 ),
    inference(sat_conversion,[],[f3620]) ).

cnf(s715,plain,
    ( spl136_181
    | spl136_184
    | spl136_187
    | spl136_190 ),
    inference(sat_conversion,[],[f3621]) ).

cnf(s716,plain,
    ( spl136_182
    | spl136_185
    | spl136_188
    | spl136_190 ),
    inference(sat_conversion,[],[f3622]) ).

cnf(s725,plain,
    ( spl136_154
    | spl136_170
    | spl136_356
    | spl136_367 ),
    inference(sat_conversion,[],[f3631]) ).

cnf(s730,plain,
    ( spl136_168
    | spl136_184
    | spl136_372
    | spl136_375 ),
    inference(sat_conversion,[],[f3636]) ).

cnf(s733,plain,
    ( spl136_256
    | spl136_258
    | spl136_261
    | spl136_264 ),
    inference(sat_conversion,[],[f3639]) ).

cnf(s734,plain,
    ( spl136_256
    | spl136_259
    | spl136_262
    | spl136_265 ),
    inference(sat_conversion,[],[f3640]) ).

cnf(s735,plain,
    ( spl136_268
    | spl136_389
    | spl136_390
    | spl136_391 ),
    inference(sat_conversion,[],[f3653]) ).

cnf(s736,plain,
    ( spl136_267
    | spl136_389
    | spl136_392
    | spl136_393 ),
    inference(sat_conversion,[],[f3662]) ).

cnf(s737,plain,
    ( spl136_279
    | spl136_394
    | spl136_395
    | spl136_396 ),
    inference(sat_conversion,[],[f3675]) ).

cnf(s738,plain,
    ( spl136_278
    | spl136_394
    | spl136_397
    | spl136_398 ),
    inference(sat_conversion,[],[f3684]) ).

cnf(s740,plain,
    ( spl136_289
    | spl136_399
    | spl136_402
    | spl136_403 ),
    inference(sat_conversion,[],[f3706]) ).

cnf(s743,plain,
    ( spl136_267
    | spl136_270
    | spl136_272
    | spl136_275 ),
    inference(sat_conversion,[],[f3729]) ).

cnf(s744,plain,
    ( spl136_268
    | spl136_270
    | spl136_273
    | spl136_276 ),
    inference(sat_conversion,[],[f3730]) ).

cnf(s745,plain,
    ( spl136_282
    | spl136_397
    | spl136_409
    | spl136_410 ),
    inference(sat_conversion,[],[f3739]) ).

cnf(s746,plain,
    ( spl136_281
    | spl136_395
    | spl136_409
    | spl136_411 ),
    inference(sat_conversion,[],[f3744]) ).

cnf(s747,plain,
    ( spl136_293
    | spl136_402
    | spl136_412
    | spl136_413 ),
    inference(sat_conversion,[],[f3753]) ).

cnf(s749,plain,
    ( spl136_262
    | spl136_407
    | spl136_415
    | spl136_416 ),
    inference(sat_conversion,[],[f3767]) ).

cnf(s750,plain,
    ( spl136_261
    | spl136_405
    | spl136_415
    | spl136_417 ),
    inference(sat_conversion,[],[f3772]) ).

cnf(s751,plain,
    ( spl136_273
    | spl136_392
    | spl136_418
    | spl136_419 ),
    inference(sat_conversion,[],[f3781]) ).

cnf(s752,plain,
    ( spl136_272
    | spl136_390
    | spl136_418
    | spl136_420 ),
    inference(sat_conversion,[],[f3786]) ).

cnf(s754,plain,
    ( spl136_279
    | spl136_282
    | spl136_284
    | spl136_287 ),
    inference(sat_conversion,[],[f3788]) ).

cnf(s755,plain,
    ( spl136_296
    | spl136_403
    | spl136_414
    | spl136_421 ),
    inference(sat_conversion,[],[f3793]) ).

cnf(s756,plain,
    ( spl136_295
    | spl136_401
    | spl136_413
    | spl136_421 ),
    inference(sat_conversion,[],[f3794]) ).

cnf(s757,plain,
    ( spl136_265
    | spl136_408
    | spl136_417
    | spl136_422 ),
    inference(sat_conversion,[],[f3799]) ).

cnf(s758,plain,
    ( spl136_264
    | spl136_406
    | spl136_416
    | spl136_422 ),
    inference(sat_conversion,[],[f3800]) ).

cnf(s760,plain,
    ( spl136_275
    | spl136_391
    | spl136_419
    | spl136_423 ),
    inference(sat_conversion,[],[f3806]) ).

cnf(s761,plain,
    ( spl136_287
    | spl136_398
    | spl136_411
    | spl136_424 ),
    inference(sat_conversion,[],[f3811]) ).

cnf(s763,plain,
    ( spl136_289
    | spl136_292
    | spl136_295
    | spl136_298 ),
    inference(sat_conversion,[],[f3813]) ).

cnf(s764,plain,
    ( spl136_290
    | spl136_293
    | spl136_296
    | spl136_298 ),
    inference(sat_conversion,[],[f3814]) ).

cnf(s771,plain,
    ( spl136_272
    | spl136_282
    | spl136_405
    | spl136_413 ),
    inference(sat_conversion,[],[f3821]) ).

cnf(s772,plain,
    ( spl136_275
    | spl136_293
    | spl136_406
    | spl136_410 ),
    inference(sat_conversion,[],[f3822]) ).

cnf(s781,plain,
    spl136_404,
    inference(sat_conversion,[],[f3837]) ).

cnf(s782,plain,
    spl136_368,
    inference(sat_conversion,[],[f3838]) ).

cnf(s784,plain,
    ( spl136_14
    | ~ spl136_19
    | ~ spl136_151
    | ~ spl136_159 ),
    inference(sat_conversion,[],[f3844]) ).

cnf(s793,plain,
    ( ~ spl136_14
    | ~ spl136_19 ),
    inference(sat_conversion,[],[f3869]) ).

cnf(s801,plain,
    ( ~ spl136_24
    | ~ spl136_108
    | ~ spl136_157
    | spl136_179 ),
    inference(sat_conversion,[],[f3907]) ).

cnf(s803,plain,
    ( ~ spl136_24
    | ~ spl136_108
    | ~ spl136_154
    | spl136_176 ),
    inference(sat_conversion,[],[f3909]) ).

cnf(s807,plain,
    ( ~ spl136_24
    | ~ spl136_108
    | ~ spl136_148
    | spl136_176 ),
    inference(sat_conversion,[],[f3913]) ).

cnf(s808,plain,
    ( ~ spl136_24
    | ~ spl136_108
    | spl136_160
    | ~ spl136_165 ),
    inference(sat_conversion,[],[f3916]) ).

cnf(s813,plain,
    ( spl136_24
    | ~ spl136_108
    | ~ spl136_153
    | ~ spl136_171 ),
    inference(sat_conversion,[],[f3928]) ).

cnf(s815,plain,
    ( spl136_29
    | ~ spl136_108
    | ~ spl136_164
    | ~ spl136_174 ),
    inference(sat_conversion,[],[f3936]) ).

cnf(s823,plain,
    ( ~ spl136_29
    | ~ spl136_108 ),
    inference(sat_conversion,[],[f3964]) ).

cnf(s824,plain,
    ( spl136_29
    | ~ spl136_108
    | ~ spl136_165
    | ~ spl136_173 ),
    inference(sat_conversion,[],[f3967]) ).

cnf(s830,plain,
    ( ~ spl136_34
    | ~ spl136_134
    | spl136_160
    | ~ spl136_168 ),
    inference(sat_conversion,[],[f4002]) ).

cnf(s837,plain,
    ( ~ spl136_34
    | ~ spl136_134
    | ~ spl136_150
    | spl136_184 ),
    inference(sat_conversion,[],[f4010]) ).

cnf(s845,plain,
    ( ~ spl136_181
    | ~ spl136_362 ),
    inference(sat_conversion,[],[f4024]) ).

cnf(s849,plain,
    ( ~ spl136_168
    | ~ spl136_184 ),
    inference(sat_conversion,[],[f4040]) ).

cnf(s851,plain,
    ( ~ spl136_178
    | ~ spl136_188 ),
    inference(sat_conversion,[],[f4049]) ).

cnf(s853,plain,
    ( ~ spl136_259
    | ~ spl136_267 ),
    inference(sat_conversion,[],[f4059]) ).

cnf(s857,plain,
    ( ~ spl136_262
    | ~ spl136_278 ),
    inference(sat_conversion,[],[f4081]) ).

cnf(s859,plain,
    ( ~ spl136_261
    | ~ spl136_279 ),
    inference(sat_conversion,[],[f4088]) ).

cnf(s861,plain,
    ( ~ spl136_273
    | ~ spl136_281 ),
    inference(sat_conversion,[],[f4096]) ).

cnf(s862,plain,
    ( ~ spl136_272
    | ~ spl136_282 ),
    inference(sat_conversion,[],[f4101]) ).

cnf(s863,plain,
    ( ~ spl136_272
    | ~ spl136_282 ),
    inference(sat_conversion,[],[f4103]) ).

cnf(s864,plain,
    ( ~ spl136_265
    | ~ spl136_289 ),
    inference(sat_conversion,[],[f4108]) ).

cnf(s865,plain,
    ( ~ spl136_265
    | ~ spl136_289 ),
    inference(sat_conversion,[],[f4110]) ).

cnf(s867,plain,
    ( ~ spl136_287
    | ~ spl136_417 ),
    inference(sat_conversion,[],[f4118]) ).

cnf(s869,plain,
    ( ~ spl136_264
    | ~ spl136_290 ),
    inference(sat_conversion,[],[f4125]) ).

cnf(s871,plain,
    ( ~ spl136_276
    | ~ spl136_292 ),
    inference(sat_conversion,[],[f4132]) ).

cnf(s872,plain,
    ( ~ spl136_287
    | ~ spl136_420 ),
    inference(sat_conversion,[],[f4137]) ).

cnf(s873,plain,
    ( ~ spl136_275
    | ~ spl136_293 ),
    inference(sat_conversion,[],[f4141]) ).

cnf(s874,plain,
    ( ~ spl136_275
    | ~ spl136_293 ),
    inference(sat_conversion,[],[f4143]) ).

cnf(s875,plain,
    ( ~ spl136_286
    | ~ spl136_419 ),
    inference(sat_conversion,[],[f4147]) ).

cnf(s878,plain,
    ( ~ spl136_286
    | ~ spl136_296 ),
    inference(sat_conversion,[],[f4160]) ).

cnf(s880,plain,
    ( spl136_14
    | ~ spl136_19
    | ~ spl136_148
    | ~ spl136_353 ),
    inference(sat_conversion,[],[f4168]) ).

cnf(s884,plain,
    ( spl136_14
    | ~ spl136_19
    | ~ spl136_154
    | ~ spl136_356 ),
    inference(sat_conversion,[],[f4183]) ).

cnf(s895,plain,
    ( spl136_24
    | ~ spl136_108
    | ~ spl136_157
    | ~ spl136_362 ),
    inference(sat_conversion,[],[f4231]) ).

cnf(s899,plain,
    ( ~ spl136_359
    | ~ spl136_364 ),
    inference(sat_conversion,[],[f4248]) ).

cnf(s904,plain,
    ( spl136_34
    | ~ spl136_134
    | ~ spl136_187
    | ~ spl136_381 ),
    inference(sat_conversion,[],[f4268]) ).

cnf(s907,plain,
    ( ~ spl136_356
    | ~ spl136_367 ),
    inference(sat_conversion,[],[f4282]) ).

cnf(s909,plain,
    ( spl136_14
    | ~ spl136_19
    | ~ spl136_162
    | ~ spl136_368 ),
    inference(sat_conversion,[],[f4291]) ).

cnf(s911,plain,
    ( spl136_24
    | ~ spl136_108
    | ~ spl136_178
    | ~ spl136_380 ),
    inference(sat_conversion,[],[f4298]) ).

cnf(s915,plain,
    ( ~ spl136_167
    | ~ spl136_185 ),
    inference(sat_conversion,[],[f4320]) ).

cnf(s918,plain,
    ( spl136_24
    | ~ spl136_108
    | ~ spl136_368
    | ~ spl136_373 ),
    inference(sat_conversion,[],[f4342]) ).

cnf(s922,plain,
    ( spl136_34
    | ~ spl136_134
    | ~ spl136_379
    | ~ spl136_385 ),
    inference(sat_conversion,[],[f4360]) ).

cnf(s923,plain,
    ( spl136_14
    | ~ spl136_19
    | ~ spl136_153
    | ~ spl136_354 ),
    inference(sat_conversion,[],[f4366]) ).

cnf(s924,plain,
    ( ~ spl136_159
    | ~ spl136_366 ),
    inference(sat_conversion,[],[f4368]) ).

cnf(s929,plain,
    ( ~ spl136_353
    | ~ spl136_363 ),
    inference(sat_conversion,[],[f4399]) ).

cnf(s931,plain,
    ( spl136_34
    | ~ spl136_134
    | ~ spl136_154
    | ~ spl136_367 ),
    inference(sat_conversion,[],[f4411]) ).

cnf(s933,plain,
    ( spl136_34
    | ~ spl136_134
    | ~ spl136_368
    | ~ spl136_376 ),
    inference(sat_conversion,[],[f4425]) ).

cnf(s936,plain,
    ( spl136_34
    | ~ spl136_134
    | ~ spl136_190
    | ~ spl136_386 ),
    inference(sat_conversion,[],[f4442]) ).

cnf(s937,plain,
    ( spl136_14
    | ~ spl136_19
    | ~ spl136_156
    | ~ spl136_355 ),
    inference(sat_conversion,[],[f4447]) ).

cnf(s939,plain,
    ( ~ spl136_184
    | ~ spl136_375 ),
    inference(sat_conversion,[],[f4455]) ).

cnf(s944,plain,
    ( spl136_34
    | ~ spl136_134
    | ~ spl136_150
    | ~ spl136_364 ),
    inference(sat_conversion,[],[f4481]) ).

cnf(s945,plain,
    ( spl136_29
    | ~ spl136_108
    | ~ spl136_178
    | ~ spl136_383 ),
    inference(sat_conversion,[],[f4484]) ).

cnf(s949,plain,
    ( ~ spl136_358
    | ~ spl136_363 ),
    inference(sat_conversion,[],[f4508]) ).

cnf(s951,plain,
    ( ~ spl136_185
    | ~ spl136_374 ),
    inference(sat_conversion,[],[f4520]) ).

cnf(s953,plain,
    ( spl136_29
    | ~ spl136_108
    | ~ spl136_355
    | ~ spl136_360 ),
    inference(sat_conversion,[],[f4531]) ).

cnf(s955,plain,
    ( ~ spl136_173
    | ~ spl136_378 ),
    inference(sat_conversion,[],[f4544]) ).

cnf(s957,plain,
    ( ~ spl136_182
    | ~ spl136_360 ),
    inference(sat_conversion,[],[f4565]) ).

cnf(s963,plain,
    ( spl136_29
    | ~ spl136_108
    | ~ spl136_167
    | ~ spl136_374 ),
    inference(sat_conversion,[],[f4600]) ).

cnf(s968,plain,
    ( ~ spl136_171
    | ~ spl136_365 ),
    inference(sat_conversion,[],[f4635]) ).

cnf(s974,plain,
    ( spl136_14
    | ~ spl136_19
    | ~ spl136_379
    | ~ spl136_382 ),
    inference(sat_conversion,[],[f4685]) ).

cnf(s979,plain,
    ( spl136_24
    | ~ spl136_108
    | ~ spl136_386
    | ~ spl136_388 ),
    inference(sat_conversion,[],[f4735]) ).

cnf(s981,plain,
    ( ~ spl136_256
    | ~ spl136_389 ),
    inference(sat_conversion,[],[f4742]) ).

cnf(s982,plain,
    ( ~ spl136_389
    | ~ spl136_394 ),
    inference(sat_conversion,[],[f4747]) ).

cnf(s983,plain,
    ( ~ spl136_389
    | ~ spl136_394 ),
    inference(sat_conversion,[],[f4749]) ).

cnf(s984,plain,
    ( ~ spl136_284
    | ~ spl136_415 ),
    inference(sat_conversion,[],[f4752]) ).

cnf(s985,plain,
    ( ~ spl136_289
    | ~ spl136_398 ),
    inference(sat_conversion,[],[f4756]) ).

cnf(s988,plain,
    ( ~ spl136_290
    | ~ spl136_396 ),
    inference(sat_conversion,[],[f4772]) ).

cnf(s990,plain,
    ( ~ spl136_259
    | ~ spl136_397 ),
    inference(sat_conversion,[],[f4783]) ).

cnf(s992,plain,
    ( ~ spl136_296
    | ~ spl136_416 ),
    inference(sat_conversion,[],[f4790]) ).

cnf(s996,plain,
    ( ~ spl136_389
    | ~ spl136_399 ),
    inference(sat_conversion,[],[f4808]) ).

cnf(s999,plain,
    ( ~ spl136_268
    | ~ spl136_400 ),
    inference(sat_conversion,[],[f4836]) ).

cnf(s1001,plain,
    ( ~ spl136_259
    | ~ spl136_402 ),
    inference(sat_conversion,[],[f4846]) ).

cnf(s1002,plain,
    ( ~ spl136_278
    | ~ spl136_392 ),
    inference(sat_conversion,[],[f4849]) ).

cnf(s1003,plain,
    ( ~ spl136_265
    | ~ spl136_398 ),
    inference(sat_conversion,[],[f4853]) ).

cnf(s1005,plain,
    ( ~ spl136_278
    | ~ spl136_403 ),
    inference(sat_conversion,[],[f4873]) ).

cnf(s1006,plain,
    ( ~ spl136_270
    | ~ spl136_404 ),
    inference(sat_conversion,[],[f4883]) ).

cnf(s1011,plain,
    ( ~ spl136_264
    | ~ spl136_396 ),
    inference(sat_conversion,[],[f4918]) ).

cnf(s1013,plain,
    ( ~ spl136_395
    | ~ spl136_400 ),
    inference(sat_conversion,[],[f4935]) ).

cnf(s1015,plain,
    ( ~ spl136_282
    | ~ spl136_413 ),
    inference(sat_conversion,[],[f4948]) ).

cnf(s1016,plain,
    ( ~ spl136_284
    | ~ spl136_418 ),
    inference(sat_conversion,[],[f4955]) ).

cnf(s1018,plain,
    ( ~ spl136_416
    | ~ spl136_419 ),
    inference(sat_conversion,[],[f4964]) ).

cnf(s1019,plain,
    ( ~ spl136_295
    | ~ spl136_420 ),
    inference(sat_conversion,[],[f4970]) ).

cnf(s1020,plain,
    ( ~ spl136_415
    | ~ spl136_421 ),
    inference(sat_conversion,[],[f4979]) ).

cnf(s1021,plain,
    ( ~ spl136_415
    | ~ spl136_421 ),
    inference(sat_conversion,[],[f4981]) ).

cnf(s1022,plain,
    ( ~ spl136_261
    | ~ spl136_390 ),
    inference(sat_conversion,[],[f4989]) ).

cnf(s1023,plain,
    ( ~ spl136_261
    | ~ spl136_390 ),
    inference(sat_conversion,[],[f4991]) ).

cnf(s1025,plain,
    ( ~ spl136_275
    | ~ spl136_410 ),
    inference(sat_conversion,[],[f5001]) ).

cnf(s1027,plain,
    ( ~ spl136_272
    | ~ spl136_413 ),
    inference(sat_conversion,[],[f5009]) ).

cnf(s1028,plain,
    ( ~ spl136_287
    | ~ spl136_295 ),
    inference(sat_conversion,[],[f5014]) ).

cnf(s1029,plain,
    ( ~ spl136_287
    | ~ spl136_295 ),
    inference(sat_conversion,[],[f5016]) ).

cnf(s1031,plain,
    ( ~ spl136_281
    | ~ spl136_414 ),
    inference(sat_conversion,[],[f5037]) ).

cnf(s1033,plain,
    ( ~ spl136_296
    | ~ spl136_419 ),
    inference(sat_conversion,[],[f5044]) ).

cnf(s1035,plain,
    ( ~ spl136_404
    | ~ spl136_409 ),
    inference(sat_conversion,[],[f5061]) ).

cnf(s1037,plain,
    ( ~ spl136_276
    | ~ spl136_411 ),
    inference(sat_conversion,[],[f5069]) ).

cnf(s1038,plain,
    ( ~ spl136_292
    | ~ spl136_411 ),
    inference(sat_conversion,[],[f5086]) ).

cnf(s1041,plain,
    ( ~ spl136_264
    | ~ spl136_391 ),
    inference(sat_conversion,[],[f5106]) ).

cnf(s1044,plain,
    ( ~ spl136_298
    | ~ spl136_423 ),
    inference(sat_conversion,[],[f5118]) ).

cnf(s1046,plain,
    ( ~ spl136_391
    | ~ spl136_396 ),
    inference(sat_conversion,[],[f5131]) ).

cnf(s1048,plain,
    ( ~ spl136_394
    | ~ spl136_399 ),
    inference(sat_conversion,[],[f5142]) ).

cnf(s1049,plain,
    ( ~ spl136_279
    | ~ spl136_401 ),
    inference(sat_conversion,[],[f5146]) ).

cnf(s1051,plain,
    ( ~ spl136_279
    | ~ spl136_390 ),
    inference(sat_conversion,[],[f5162]) ).

cnf(s1053,plain,
    ( ~ spl136_397
    | ~ spl136_402 ),
    inference(sat_conversion,[],[f5178]) ).

cnf(s1055,plain,
    ( ~ spl136_256
    | ~ spl136_399 ),
    inference(sat_conversion,[],[f5194]) ).

cnf(s1057,plain,
    ( ~ spl136_258
    | ~ spl136_400 ),
    inference(sat_conversion,[],[f5207]) ).

cnf(s1059,plain,
    ( ~ spl136_404
    | ~ spl136_412 ),
    inference(sat_conversion,[],[f5237]) ).

cnf(s1061,plain,
    ( ~ spl136_256
    | ~ spl136_394 ),
    inference(sat_conversion,[],[f5245]) ).

cnf(s1064,plain,
    ( ~ spl136_415
    | ~ spl136_418 ),
    inference(sat_conversion,[],[f5272]) ).

cnf(s1065,plain,
    ( ~ spl136_415
    | ~ spl136_418 ),
    inference(sat_conversion,[],[f5274]) ).

cnf(s1066,plain,
    ( ~ spl136_298
    | ~ spl136_422 ),
    inference(sat_conversion,[],[f5281]) ).

cnf(s1071,plain,
    ( ~ spl136_295
    | ~ spl136_417 ),
    inference(sat_conversion,[],[f5304]) ).

cnf(s1073,plain,
    ( ~ spl136_392
    | ~ spl136_403 ),
    inference(sat_conversion,[],[f5319]) ).

cnf(s1074,plain,
    ( ~ spl136_267
    | ~ spl136_402 ),
    inference(sat_conversion,[],[f5322]) ).

cnf(s1076,plain,
    ( ~ spl136_390
    | ~ spl136_401 ),
    inference(sat_conversion,[],[f5337]) ).

cnf(s1077,plain,
    ( ~ spl136_286
    | ~ spl136_416 ),
    inference(sat_conversion,[],[f5340]) ).

cnf(s1078,plain,
    ( ~ spl136_262
    | ~ spl136_403 ),
    inference(sat_conversion,[],[f5367]) ).

cnf(s1079,plain,
    ( ~ spl136_262
    | ~ spl136_403 ),
    inference(sat_conversion,[],[f5369]) ).

cnf(s1081,plain,
    ( ~ spl136_267
    | ~ spl136_397 ),
    inference(sat_conversion,[],[f5381]) ).

cnf(s1082,plain,
    ( ~ spl136_422
    | ~ spl136_423 ),
    inference(sat_conversion,[],[f5422]) ).

cnf(s1083,plain,
    ( ~ spl136_422
    | ~ spl136_423 ),
    inference(sat_conversion,[],[f5424]) ).

cnf(s1084,plain,
    ( ~ spl136_262
    | ~ spl136_392 ),
    inference(sat_conversion,[],[f5432]) ).

cnf(s1085,plain,
    ( ~ spl136_262
    | ~ spl136_392 ),
    inference(sat_conversion,[],[f5434]) ).

cnf(s1087,plain,
    ( ~ spl136_417
    | ~ spl136_420 ),
    inference(sat_conversion,[],[f5457]) ).

cnf(s1088,plain,
    ( ~ spl136_417
    | ~ spl136_420 ),
    inference(sat_conversion,[],[f5459]) ).

cnf(s1090,plain,
    ( ~ spl136_284
    | ~ spl136_421 ),
    inference(sat_conversion,[],[f5467]) ).

cnf(s1094,plain,
    ( spl136_15
    | ~ spl136_368 ),
    inference(sat_conversion,[],[f5489]) ).

cnf(s1104,plain,
    ( spl136_400
    | ~ spl136_404 ),
    inference(sat_conversion,[],[f5629]) ).

cnf(s1107,plain,
    ( ~ spl136_275
    | ~ spl136_391 ),
    inference(sat_conversion,[],[f5634]) ).

cnf(s1112,plain,
    ( ~ spl136_261
    | ~ spl136_417 ),
    inference(sat_conversion,[],[f5640]) ).

cnf(s1113,plain,
    ( ~ spl136_404
    | ~ spl136_405 ),
    inference(sat_conversion,[],[f5646]) ).

cnf(s1114,plain,
    ( ~ spl136_276
    | ~ spl136_393 ),
    inference(sat_conversion,[],[f5647]) ).

cnf(s1115,plain,
    ( ~ spl136_404
    | ~ spl136_408 ),
    inference(sat_conversion,[],[f5648]) ).

cnf(s1116,plain,
    ( ~ spl136_404
    | ~ spl136_407 ),
    inference(sat_conversion,[],[f5649]) ).

cnf(s1122,plain,
    ( ~ spl136_404
    | ~ spl136_406 ),
    inference(sat_conversion,[],[f5654]) ).

cnf(s1124,plain,
    ( ~ spl136_418
    | ~ spl136_421 ),
    inference(sat_conversion,[],[f5713]) ).

cnf(s1125,plain,
    ( ~ spl136_267
    | ~ spl136_275 ),
    inference(sat_conversion,[],[f5714]) ).

cnf(s1128,plain,
    ( spl136_364
    | ~ spl136_368 ),
    inference(sat_conversion,[],[f5804]) ).

cnf(s1131,plain,
    ( ~ spl136_368
    | ~ spl136_370 ),
    inference(sat_conversion,[],[f5819]) ).

cnf(s1134,plain,
    ( ~ spl136_368
    | ~ spl136_372 ),
    inference(sat_conversion,[],[f5822]) ).

cnf(s1137,plain,
    ( ~ spl136_368
    | ~ spl136_371 ),
    inference(sat_conversion,[],[f5825]) ).

cnf(s1138,plain,
    ( ~ spl136_368
    | ~ spl136_369 ),
    inference(sat_conversion,[],[f5826]) ).

cnf(s1151,plain,
    ( ~ spl136_164
    | ~ spl136_377 ),
    inference(sat_conversion,[],[f5882]) ).

cnf(s1153,plain,
    ( spl136_141
    | ~ spl136_148 ),
    inference(sat_conversion,[],[f5956]) ).

cnf(s1154,plain,
    ( ~ spl136_168
    | spl136_242 ),
    inference(sat_conversion,[],[f5964]) ).

cnf(s1155,plain,
    ( ~ spl136_188
    | spl136_237 ),
    inference(sat_conversion,[],[f5971]) ).

cnf(s1156,plain,
    ( spl136_144
    | ~ spl136_174 ),
    inference(sat_conversion,[],[f5979]) ).

cnf(s1161,plain,
    ( ~ spl136_170
    | ~ spl136_173 ),
    inference(sat_conversion,[],[f5990]) ).

cnf(s1165,plain,
    ( ~ spl136_160
    | ~ spl136_364 ),
    inference(sat_conversion,[],[f5997]) ).

cnf(s1166,plain,
    ( ~ spl136_188
    | ~ spl136_383 ),
    inference(sat_conversion,[],[f5999]) ).

cnf(s1168,plain,
    ( ~ spl136_173
    | ~ spl136_375 ),
    inference(sat_conversion,[],[f6001]) ).

cnf(s1170,plain,
    ( ~ spl136_361
    | ~ spl136_362 ),
    inference(sat_conversion,[],[f6004]) ).

cnf(s1174,plain,
    ( ~ spl136_173
    | ~ spl136_176 ),
    inference(sat_conversion,[],[f6015]) ).

cnf(s1176,plain,
    ( ~ spl136_164
    | ~ spl136_354 ),
    inference(sat_conversion,[],[f6017]) ).

cnf(s1182,plain,
    ( ~ spl136_148
    | ~ spl136_156 ),
    inference(sat_conversion,[],[f6063]) ).

cnf(s1183,plain,
    ( ~ spl136_148
    | ~ spl136_154 ),
    inference(sat_conversion,[],[f6064]) ).

cnf(s1200,plain,
    ( spl136_252
    | ~ spl136_282 ),
    inference(sat_conversion,[],[f6184]) ).

cnf(s1201,plain,
    ( ~ spl136_276
    | spl136_350 ),
    inference(sat_conversion,[],[f6192]) ).

cnf(s1202,plain,
    ( ~ spl136_296
    | spl136_345 ),
    inference(sat_conversion,[],[f6199]) ).

cnf(s1203,plain,
    ( spl136_249
    | ~ spl136_256 ),
    inference(sat_conversion,[],[f6207]) ).

cnf(s1204,plain,
    ( ~ spl136_402
    | ~ spl136_403 ),
    inference(sat_conversion,[],[f6208]) ).

cnf(s1205,plain,
    ( ~ spl136_402
    | ~ spl136_413 ),
    inference(sat_conversion,[],[f6209]) ).

cnf(s1208,plain,
    ( ~ spl136_281
    | spl136_348
    | ~ spl136_418 ),
    inference(sat_conversion,[],[f6213]) ).

cnf(s1212,plain,
    ( spl136_246
    | ~ spl136_391
    | ~ spl136_400 ),
    inference(sat_conversion,[],[f6292]) ).

cnf(s1213,plain,
    ( spl136_247
    | ~ spl136_261
    | ~ spl136_394 ),
    inference(sat_conversion,[],[f6296]) ).

cnf(s1216,plain,
    ( ~ spl136_295
    | ~ spl136_413 ),
    inference(sat_conversion,[],[f6302]) ).

cnf(s1218,plain,
    ( ~ spl136_261
    | ~ spl136_415 ),
    inference(sat_conversion,[],[f6306]) ).

cnf(s1219,plain,
    ( ~ spl136_410
    | ~ spl136_424 ),
    inference(sat_conversion,[],[f6309]) ).

cnf(s1221,plain,
    ( spl136_251
    | ~ spl136_410
    | ~ spl136_413 ),
    inference(sat_conversion,[],[f6315]) ).

cnf(s1222,plain,
    ( ~ spl136_295
    | ~ spl136_298 ),
    inference(sat_conversion,[],[f6317]) ).

cnf(s1223,plain,
    ( ~ spl136_293
    | ~ spl136_298 ),
    inference(sat_conversion,[],[f6318]) ).

cnf(s1224,plain,
    ( ~ spl136_282
    | ~ spl136_410 ),
    inference(sat_conversion,[],[f6320]) ).

cnf(s1228,plain,
    ( ~ spl136_265
    | ~ spl136_417 ),
    inference(sat_conversion,[],[f6324]) ).

cnf(s1230,plain,
    ( ~ spl136_390
    | ~ spl136_391 ),
    inference(sat_conversion,[],[f6326]) ).

cnf(s1231,plain,
    ( ~ spl136_267
    | ~ spl136_392 ),
    inference(sat_conversion,[],[f6327]) ).

cnf(s1232,plain,
    ( ~ spl136_394
    | ~ spl136_398 ),
    inference(sat_conversion,[],[f6329]) ).

cnf(s1234,plain,
    ( ~ spl136_264
    | ~ spl136_416 ),
    inference(sat_conversion,[],[f6332]) ).

cnf(s1249,plain,
    ( spl136_88
    | ~ spl136_364
    | ~ spl136_368 ),
    inference(sat_conversion,[],[f6433]) ).

cnf(s1275,plain,
    ( spl136_83
    | ~ spl136_362
    | ~ spl136_364
    | ~ spl136_368 ),
    inference(sat_conversion,[],[f6629]) ).

cnf(s1276,plain,
    ( ~ spl136_19
    | spl136_74
    | ~ spl136_83
    | ~ spl136_173
    | ~ spl136_281 ),
    inference(sat_conversion,[],[f6633]) ).

cnf(s1277,plain,
    ( ~ spl136_15
    | spl136_65
    | ~ spl136_148
    | ~ spl136_256 ),
    inference(sat_conversion,[],[f6641]) ).

cnf(s1278,plain,
    ( ~ spl136_15
    | ~ spl136_19
    | spl136_66
    | ~ spl136_88
    | ~ spl136_364
    | ~ spl136_400 ),
    inference(sat_conversion,[],[f6651]) ).

cnf(s1279,plain,
    ( ~ spl136_15
    | spl136_67
    | ~ spl136_83
    | ~ spl136_171
    | ~ spl136_279 ),
    inference(sat_conversion,[],[f6661]) ).

cnf(s1280,plain,
    ( ~ spl136_15
    | ~ spl136_19
    | spl136_68
    | ~ spl136_88
    | ~ spl136_355
    | ~ spl136_391 ),
    inference(sat_conversion,[],[f6671]) ).

cnf(s1282,plain,
    ( ~ spl136_15
    | ~ spl136_19
    | spl136_70
    | ~ spl136_368
    | ~ spl136_404 ),
    inference(sat_conversion,[],[f6690]) ).

cnf(s1283,plain,
    ( ~ spl136_19
    | spl136_71
    | ~ spl136_83
    | ~ spl136_164
    | ~ spl136_272 ),
    inference(sat_conversion,[],[f6699]) ).

cnf(s1284,plain,
    ( ~ spl136_19
    | spl136_72
    | ~ spl136_83
    | ~ spl136_88
    | ~ spl136_374
    | ~ spl136_410 ),
    inference(sat_conversion,[],[f6709]) ).

cnf(s1285,plain,
    ( ~ spl136_15
    | ~ spl136_19
    | spl136_73
    | ~ spl136_83
    | ~ spl136_356
    | ~ spl136_392 ),
    inference(sat_conversion,[],[f6719]) ).

cnf(s1286,plain,
    ( spl136_75
    | ~ spl136_83
    | ~ spl136_88
    | ~ spl136_385
    | ~ spl136_421 ),
    inference(sat_conversion,[],[f6728]) ).

cnf(s1287,plain,
    ( ~ spl136_15
    | spl136_76
    | ~ spl136_83
    | ~ spl136_88
    | ~ spl136_380
    | ~ spl136_416 ),
    inference(sat_conversion,[],[f6737]) ).

cnf(s1288,plain,
    ( ~ spl136_15
    | spl136_77
    | ~ spl136_83
    | ~ spl136_88
    | ~ spl136_362
    | ~ spl136_398 ),
    inference(sat_conversion,[],[f6747]) ).

cnf(s1289,plain,
    ( ~ spl136_19
    | spl136_78
    | ~ spl136_88
    | ~ spl136_168
    | ~ spl136_276 ),
    inference(sat_conversion,[],[f6757]) ).

cnf(s1290,plain,
    ( ~ spl136_15
    | spl136_79
    | ~ spl136_83
    | ~ spl136_88
    | ~ spl136_381
    | ~ spl136_417 ),
    inference(sat_conversion,[],[f6767]) ).

cnf(s1291,plain,
    ( spl136_80
    | ~ spl136_88
    | ~ spl136_190
    | ~ spl136_298 ),
    inference(sat_conversion,[],[f6776]) ).

cnf(s1292,plain,
    ( ~ spl136_15
    | ~ spl136_19
    | spl136_69
    | ~ spl136_88
    | ~ spl136_366
    | ~ spl136_402 ),
    inference(sat_conversion,[],[f6781]) ).

cnf(s1294,plain,
    ( ~ spl136_179
    | ~ spl136_362 ),
    inference(sat_conversion,[],[f6784]) ).

cnf(s1296,plain,
    ( ~ spl136_367
    | ~ spl136_385 ),
    inference(sat_conversion,[],[f6787]) ).

cnf(s1301,plain,
    ( spl136_362
    | ~ spl136_364
    | ~ spl136_368 ),
    inference(sat_conversion,[],[f6794]) ).

cnf(s1310,plain,
    ( ~ spl136_153
    | ~ spl136_381 ),
    inference(sat_conversion,[],[f6803]) ).

cnf(s1325,plain,
    ~ spl136_369,
    inference(rat,[],[s1138,s782]) ).

cnf(s1326,plain,
    ~ spl136_371,
    inference(rat,[],[s1137,s782]) ).

cnf(s1327,plain,
    ~ spl136_372,
    inference(rat,[],[s1134,s782]) ).

cnf(s1328,plain,
    ~ spl136_370,
    inference(rat,[],[s1131,s782]) ).

cnf(s1329,plain,
    spl136_364,
    inference(rat,[],[s1128,s782]) ).

cnf(s1330,plain,
    spl136_15,
    inference(rat,[],[s1094,s782]) ).

cnf(s1331,plain,
    spl136_362,
    inference(rat,[],[s1301,s782,s1329]) ).

cnf(s1332,plain,
    spl136_88,
    inference(rat,[],[s1249,s782,s1329]) ).

cnf(s1333,plain,
    ~ spl136_160,
    inference(rat,[],[s1165,s1329]) ).

cnf(s1334,plain,
    ~ spl136_359,
    inference(rat,[],[s899,s1329]) ).

cnf(s1335,plain,
    ~ spl136_179,
    inference(rat,[],[s1294,s1331]) ).

cnf(s1336,plain,
    spl136_83,
    inference(rat,[],[s1275,s782,s1329,s1331]) ).

cnf(s1337,plain,
    ~ spl136_361,
    inference(rat,[],[s1170,s1331]) ).

cnf(s1338,plain,
    ~ spl136_181,
    inference(rat,[],[s845,s1331]) ).

cnf(s1339,plain,
    ~ spl136_406,
    inference(rat,[],[s1122,s781]) ).

cnf(s1340,plain,
    ~ spl136_407,
    inference(rat,[],[s1116,s781]) ).

cnf(s1341,plain,
    ~ spl136_408,
    inference(rat,[],[s1115,s781]) ).

cnf(s1342,plain,
    ~ spl136_405,
    inference(rat,[],[s1113,s781]) ).

cnf(s1343,plain,
    spl136_400,
    inference(rat,[],[s1104,s781]) ).

cnf(s1344,plain,
    ~ spl136_412,
    inference(rat,[],[s1059,s781]) ).

cnf(s1345,plain,
    ~ spl136_409,
    inference(rat,[],[s1035,s781]) ).

cnf(s1346,plain,
    ~ spl136_270,
    inference(rat,[],[s1006,s781]) ).

cnf(s1347,plain,
    ~ spl136_258,
    inference(rat,[],[s1057,s1343]) ).

cnf(s1348,plain,
    ~ spl136_395,
    inference(rat,[],[s1013,s1343]) ).

cnf(s1349,plain,
    ~ spl136_268,
    inference(rat,[],[s999,s1343]) ).

cnf(s1352,plain,
    ( spl136_275
    | spl136_293
    | spl136_410 ),
    inference(rat,[],[s772,s1339]) ).

cnf(s1353,plain,
    ( spl136_272
    | spl136_282
    | spl136_413 ),
    inference(rat,[],[s771,s1342]) ).

cnf(s1354,plain,
    ( spl136_264
    | spl136_416
    | spl136_422 ),
    inference(rat,[],[s758,s1339]) ).

cnf(s1355,plain,
    ( spl136_265
    | spl136_417
    | spl136_422 ),
    inference(rat,[],[s757,s1341]) ).

cnf(s1356,plain,
    ( spl136_261
    | spl136_415
    | spl136_417 ),
    inference(rat,[],[s750,s1342]) ).

cnf(s1357,plain,
    ( spl136_262
    | spl136_415
    | spl136_416 ),
    inference(rat,[],[s749,s1340]) ).

cnf(s1358,plain,
    ( spl136_293
    | spl136_402
    | spl136_413 ),
    inference(rat,[],[s747,s1344]) ).

cnf(s1359,plain,
    ( spl136_281
    | spl136_411 ),
    inference(rat,[],[s746,s1345,s1348]) ).

cnf(s1360,plain,
    ( spl136_282
    | spl136_397
    | spl136_410 ),
    inference(rat,[],[s745,s1345]) ).

cnf(s1361,plain,
    ( spl136_273
    | spl136_276 ),
    inference(rat,[],[s744,s1346,s1349]) ).

cnf(s1362,plain,
    ( spl136_267
    | spl136_272
    | spl136_275 ),
    inference(rat,[],[s743,s1346]) ).

cnf(s1363,plain,
    ( spl136_279
    | spl136_394
    | spl136_396 ),
    inference(rat,[],[s737,s1348]) ).

cnf(s1364,plain,
    ( spl136_389
    | spl136_390
    | spl136_391 ),
    inference(rat,[],[s735,s1349]) ).

cnf(s1365,plain,
    ( spl136_256
    | spl136_261
    | spl136_264 ),
    inference(rat,[],[s733,s1347]) ).

cnf(s1367,plain,
    ( spl136_168
    | spl136_184
    | spl136_375 ),
    inference(rat,[],[s730,s1327]) ).

cnf(s1372,plain,
    ( spl136_184
    | spl136_187
    | spl136_190 ),
    inference(rat,[],[s715,s1338]) ).

cnf(s1373,plain,
    ( spl136_156
    | spl136_380
    | spl136_386 ),
    inference(rat,[],[s710,s1328]) ).

cnf(s1374,plain,
    ( spl136_157
    | spl136_381
    | spl136_386 ),
    inference(rat,[],[s709,s1327]) ).

cnf(s1375,plain,
    ( spl136_171
    | spl136_174
    | spl136_176 ),
    inference(rat,[],[s706,s1335]) ).

cnf(s1376,plain,
    ( spl136_153
    | spl136_379
    | spl136_381 ),
    inference(rat,[],[s702,s1325]) ).

cnf(s1377,plain,
    ( spl136_154
    | spl136_379
    | spl136_380 ),
    inference(rat,[],[s701,s1326]) ).

cnf(s1378,plain,
    ( spl136_173
    | spl136_373
    | spl136_375 ),
    inference(rat,[],[s698,s1334]) ).

cnf(s1379,plain,
    ( spl136_174
    | spl136_373
    | spl136_374 ),
    inference(rat,[],[s697,s1337]) ).

cnf(s1380,plain,
    ( spl136_162
    | spl136_165
    | spl136_168 ),
    inference(rat,[],[s696,s1333]) ).

cnf(s1381,plain,
    ( spl136_363
    | spl136_366
    | spl136_367 ),
    inference(rat,[],[s692,s1338]) ).

cnf(s1382,plain,
    ( spl136_171
    | spl136_358
    | spl136_360 ),
    inference(rat,[],[s689,s1334]) ).

cnf(s1383,plain,
    ( spl136_353
    | spl136_354
    | spl136_355 ),
    inference(rat,[],[s687,s1333]) ).

cnf(s1384,plain,
    ( spl136_281
    | spl136_292 ),
    inference(rat,[],[s682,s1346,s1347]) ).

cnf(s1385,plain,
    ~ spl136_336,
    inference(rat,[],[s614,s1346]) ).

cnf(s1386,plain,
    spl136_335,
    inference(rat,[],[s610,s1349]) ).

cnf(s1387,plain,
    spl136_332,
    inference(rat,[],[s597,s1347]) ).

cnf(s1388,plain,
    spl136_320,
    inference(rat,[],[s550,s1346]) ).

cnf(s1389,plain,
    ~ spl136_319,
    inference(rat,[],[s546,s1349]) ).

cnf(s1390,plain,
    spl136_316,
    inference(rat,[],[s533,s1347]) ).

cnf(s1391,plain,
    spl136_306,
    inference(rat,[],[s496,s1346]) ).

cnf(s1392,plain,
    ~ spl136_305,
    inference(rat,[],[s492,s1346]) ).

cnf(s1393,plain,
    spl136_304,
    inference(rat,[],[s488,s1346]) ).

cnf(s1394,plain,
    ~ spl136_303,
    inference(rat,[],[s484,s1346]) ).

cnf(s1395,plain,
    spl136_302,
    inference(rat,[],[s479,s1349]) ).

cnf(s1396,plain,
    ~ spl136_301,
    inference(rat,[],[s475,s1349]) ).

cnf(s1397,plain,
    spl136_300,
    inference(rat,[],[s471,s1349]) ).

cnf(s1398,plain,
    ~ spl136_299,
    inference(rat,[],[s467,s1349]) ).

cnf(s1399,plain,
    ~ spl136_274,
    inference(rat,[],[s432,s1347]) ).

cnf(s1400,plain,
    spl136_271,
    inference(rat,[],[s428,s1347]) ).

cnf(s1401,plain,
    spl136_269,
    inference(rat,[],[s424,s1347]) ).

cnf(s1402,plain,
    spl136_266,
    inference(rat,[],[s420,s1347]) ).

cnf(s1403,plain,
    spl136_257,
    inference(rat,[],[s405,s1347]) ).

cnf(s1404,plain,
    ( spl136_148
    | spl136_159
    | spl136_170 ),
    inference(rat,[],[s389,s1338]) ).

cnf(s1428,plain,
    spl136_70,
    inference(rat,[],[s1282,s781,s782,s1330,s99]) ).

cnf(s1429,plain,
    spl136_66,
    inference(rat,[],[s1278,s1343,s1329,s1332,s1330,s99]) ).

cnf(s1430,plain,
    ~ spl136_14,
    inference(rat,[],[s793,s99]) ).

cnf(s1431,plain,
    ~ spl136_162,
    inference(rat,[],[s909,s782,s99,s1430]) ).

cnf(s1438,plain,
    ~ spl136_29,
    inference(rat,[],[s823,s98]) ).

cnf(s1450,plain,
    ( ~ spl136_11
    | ~ spl136_16
    | ~ spl136_65
    | ~ spl136_67
    | ~ spl136_68
    | ~ spl136_69
    | ~ spl136_71
    | ~ spl136_72
    | ~ spl136_73
    | ~ spl136_74
    | ~ spl136_75
    | ~ spl136_76
    | ~ spl136_77
    | ~ spl136_78
    | ~ spl136_79
    | ~ spl136_80 ),
    inference(rat,[],[s62,s1332,s1336,s1428,s1429]) ).

cnf(s1464,plain,
    spl136_16,
    inference(rat,[],[s15,s99]) ).

cnf(s1465,plain,
    spl136_11,
    inference(rat,[],[s12,s1330]) ).

cnf(s1467,plain,
    ( ~ spl136_184
    | spl136_373 ),
    inference(rat,[],[s824,s1380,s1378,s849,s939,s98,s1438,s1431]) ).

cnf(s1469,plain,
    ( spl136_187
    | spl136_34
    | spl136_24
    | spl136_148 ),
    inference(rat,[],[s1383,s1176,s937,s391,s685,s1310,s1374,s936,s1372,s1174,s929,s1381,s931,s686,s784,s895,s924,s1404,s1161,s390,s944,s1467,s918,s99,s1430,s97,s98,s782,s1431,s1329,s1331]) ).

cnf(s1471,plain,
    ( ~ spl136_34
    | spl136_184 ),
    inference(rat,[],[s1168,s1367,s390,s830,s837,s97,s1333,s1431]) ).

cnf(s1473,plain,
    ~ spl136_184,
    inference(rat,[],[s808,s918,s1380,s1467,s849,s1333,s98,s782,s1431]) ).

cnf(s1479,plain,
    ( ~ spl136_379
    | ~ spl136_154
    | spl136_34 ),
    inference(rat,[],[s1166,s707,s703,s922,s974,s955,s824,s390,s944,s884,s931,s97,s99,s1430,s1438,s98,s1329,s1431,s1473]) ).

cnf(s1480,plain,
    ( spl136_24
    | spl136_34
    | spl136_148 ),
    inference(rat,[],[s953,s1382,s1383,s813,s923,s1376,s1479,s929,s949,s1381,s931,s904,s686,s1469,s895,s924,s784,s1404,s1161,s390,s944,s98,s1438,s99,s1430,s97,s1331,s1329,s1431,s1473]) ).

cnf(s1481,plain,
    ( spl136_34
    | spl136_148 ),
    inference(rat,[],[s686,s801,s803,s1480,s784,s1404,s1161,s1174,s390,s944,s98,s1335,s99,s1430,s1473,s1431,s97,s1329]) ).

cnf(s1482,plain,
    ~ spl136_34,
    inference(rat,[],[s1471,s1473]) ).

cnf(s1483,plain,
    ~ spl136_150,
    inference(rat,[],[s944,s1329,s97,s1482]) ).

cnf(s1484,plain,
    ~ spl136_376,
    inference(rat,[],[s933,s97,s782,s1482]) ).

cnf(s1485,plain,
    spl136_148,
    inference(rat,[],[s1481,s1482]) ).

cnf(s1490,plain,
    spl136_173,
    inference(rat,[],[s390,s1473,s1431,s1483]) ).

cnf(s1493,plain,
    ~ spl136_154,
    inference(rat,[],[s1183,s1485]) ).

cnf(s1494,plain,
    ~ spl136_156,
    inference(rat,[],[s1182,s1485]) ).

cnf(s1495,plain,
    spl136_141,
    inference(rat,[],[s1153,s1485]) ).

cnf(s1497,plain,
    ~ spl136_353,
    inference(rat,[],[s880,s1430,s99,s1485]) ).

cnf(s1500,plain,
    ~ spl136_176,
    inference(rat,[],[s1174,s1490]) ).

cnf(s1501,plain,
    ~ spl136_375,
    inference(rat,[],[s1168,s1490]) ).

cnf(s1502,plain,
    ~ spl136_170,
    inference(rat,[],[s1161,s1490]) ).

cnf(s1503,plain,
    ~ spl136_378,
    inference(rat,[],[s955,s1490]) ).

cnf(s1504,plain,
    ~ spl136_165,
    inference(rat,[],[s824,s1438,s98,s1490]) ).

cnf(s1514,plain,
    spl136_137,
    inference(rat,[],[s104,s1495]) ).

cnf(s1521,plain,
    ~ spl136_24,
    inference(rat,[],[s807,s1485,s98,s1500]) ).

cnf(s1522,plain,
    spl136_168,
    inference(rat,[],[s1367,s1473,s1501]) ).

cnf(s1528,plain,
    ~ spl136_373,
    inference(rat,[],[s918,s98,s782,s1521]) ).

cnf(s1529,plain,
    ~ spl136_157,
    inference(rat,[],[s895,s1331,s98,s1521]) ).

cnf(s1531,plain,
    spl136_242,
    inference(rat,[],[s1154,s1522]) ).

cnf(s1532,plain,
    spl136_281,
    inference(rat,[],[s1038,s1384,s1359]) ).

cnf(s1533,plain,
    ~ spl136_414,
    inference(rat,[],[s1031,s1532]) ).

cnf(s1534,plain,
    ~ spl136_273,
    inference(rat,[],[s861,s1532]) ).

cnf(s1536,plain,
    spl136_74,
    inference(rat,[],[s1276,s1490,s99,s1336,s1532]) ).

cnf(s1537,plain,
    spl136_276,
    inference(rat,[],[s1361,s1534]) ).

cnf(s1538,plain,
    ~ spl136_337,
    inference(rat,[],[s618,s1534]) ).

cnf(s1539,plain,
    ~ spl136_321,
    inference(rat,[],[s554,s1534]) ).

cnf(s1540,plain,
    spl136_310,
    inference(rat,[],[s511,s1534]) ).

cnf(s1541,plain,
    spl136_309,
    inference(rat,[],[s507,s1534]) ).

cnf(s1542,plain,
    spl136_308,
    inference(rat,[],[s503,s1534]) ).

cnf(s1543,plain,
    spl136_307,
    inference(rat,[],[s499,s1534]) ).

cnf(s1544,plain,
    spl136_350,
    inference(rat,[],[s1201,s1537]) ).

cnf(s1545,plain,
    ~ spl136_393,
    inference(rat,[],[s1114,s1537]) ).

cnf(s1546,plain,
    ~ spl136_411,
    inference(rat,[],[s1037,s1537]) ).

cnf(s1547,plain,
    ~ spl136_292,
    inference(rat,[],[s871,s1537]) ).

cnf(s1549,plain,
    spl136_78,
    inference(rat,[],[s1289,s1522,s99,s1332,s1537]) ).

cnf(s1550,plain,
    spl136_344,
    inference(rat,[],[s645,s1547]) ).

cnf(s1551,plain,
    spl136_338,
    inference(rat,[],[s624,s1547]) ).

cnf(s1552,plain,
    ~ spl136_328,
    inference(rat,[],[s581,s1547]) ).

cnf(s1553,plain,
    ~ spl136_312,
    inference(rat,[],[s517,s1547]) ).

cnf(s1554,plain,
    spl136_291,
    inference(rat,[],[s453,s1547]) ).

cnf(s1555,plain,
    ( spl136_282
    | spl136_298
    | spl136_421
    | spl136_392
    | spl136_410
    | spl136_272
    | spl136_279
    | spl136_256 ),
    inference(rat,[],[s680,s442,s572,s1016,s445,s573,s751,s878,s1033,s514,s578,s603,s755,s988,s1079,s1363,s734,s451,s606,s983,s865,s736,s763,s457,s521,s585,s636,s640,s990,s1081,s1216,s438,s559,s566,s630,s1360,s1353,s594,s530,s416,s412,s404,s626,s562,s543,s539,s434,s644,s590,s526,s462,s1403,s1402,s1401,s1400,s1399,s1554,s1398,s1397,s1396,s1395,s1394,s1393,s1392,s1391,s1543,s1542,s1541,s1540,s1553,s1390,s1389,s1388,s1539,s1552,s1387,s1386,s1385,s1538,s1551,s1550,s1534,s1533,s1545,s1547]) ).

cnf(s1556,plain,
    ( spl136_245
    | spl136_275
    | ~ spl136_250
    | spl136_298
    | spl136_416
    | spl136_421
    | spl136_392
    | spl136_279
    | spl136_256 ),
    inference(rat,[],[s680,s568,s572,s450,s607,s984,s869,s1357,s439,s443,s602,s684,s445,s573,s580,s1079,s875,s458,s586,s631,s635,s639,s755,s751,s1202,s1208,s653,s655,s594,s530,s416,s412,s404,s626,s562,s543,s539,s434,s644,s590,s526,s462,s557,s524,s516,s1403,s1402,s1401,s1400,s1399,s1554,s1398,s1397,s1396,s1395,s1394,s1393,s1392,s1391,s1543,s1542,s1541,s1540,s1553,s1390,s1389,s1388,s1539,s1552,s1387,s1386,s1385,s1538,s1551,s1550,s1533,s1534,s1532,s1544]) ).

cnf(s1557,plain,
    ( ~ spl136_262
    | spl136_247
    | spl136_397
    | spl136_417
    | spl136_398
    | spl136_421
    | spl136_392 ),
    inference(rat,[],[s1064,s1356,s751,s1213,s1033,s738,s755,s857,s1079,s1534,s1533]) ).

cnf(s1558,plain,
    ( spl136_298
    | spl136_417
    | spl136_398
    | spl136_416
    | spl136_421
    | spl136_392
    | spl136_410
    | spl136_272
    | spl136_402
    | spl136_279
    | spl136_256 ),
    inference(rat,[],[s680,s458,s586,s631,s639,s1033,s449,s577,s608,s568,s572,s576,s634,s751,s865,s984,s1065,s734,s1357,s439,s443,s447,s602,s1557,s394,s1556,s853,s1081,s1362,s516,s524,s557,s874,s1358,s398,s1015,s1200,s1555,s462,s526,s590,s644,s594,s530,s416,s412,s404,s626,s562,s543,s539,s434,s1403,s1402,s1401,s1400,s1399,s1554,s1398,s1397,s1396,s1395,s1394,s1393,s1392,s1391,s1543,s1542,s1541,s1540,s1553,s1390,s1389,s1388,s1539,s1552,s1387,s1386,s1385,s1538,s1551,s1550,s1534]) ).

cnf(s1559,plain,
    ( ~ spl136_298
    | spl136_416
    | spl136_392
    | spl136_410
    | spl136_279 ),
    inference(rat,[],[s982,s1363,s736,s1011,s1125,s1354,s1352,s1066,s1223,s1545]) ).

cnf(s1560,plain,
    ( ~ spl136_417
    | spl136_413
    | spl136_421
    | spl136_272 ),
    inference(rat,[],[s752,s1076,s1016,s756,s683,s1071,s1088,s1112]) ).

cnf(s1561,plain,
    ( spl136_416
    | spl136_421
    | spl136_392
    | spl136_410
    | spl136_272
    | spl136_402
    | spl136_391
    | spl136_279
    | spl136_256 ),
    inference(rat,[],[s875,s760,s684,s1083,s1011,s1355,s1363,s1003,s1232,s1558,s1560,s874,s1358,s1015,s1555,s1559]) ).

cnf(s1562,plain,
    ( spl136_298
    | spl136_290
    | spl136_296
    | spl136_286
    | spl136_264 ),
    inference(rat,[],[s873,s764,s684]) ).

cnf(s1563,plain,
    ( spl136_421
    | spl136_392
    | spl136_256
    | spl136_410
    | spl136_272
    | spl136_402
    | spl136_391
    | spl136_279 ),
    inference(rat,[],[s681,s865,s1125,s1355,s1352,s1066,s1223,s1562,s988,s1363,s983,s1364,s1005,s1023,s1112,s755,s1365,s992,s1077,s1234,s1561,s1533]) ).

cnf(s1564,plain,
    ( spl136_275
    | spl136_298
    | ~ spl136_294
    | spl136_313
    | spl136_329
    | ~ spl136_340
    | spl136_342
    | spl136_286
    | spl136_283
    | ~ spl136_324
    | ~ spl136_325
    | ~ spl136_326
    | ~ spl136_341
    | spl136_391
    | spl136_279
    | spl136_256 ),
    inference(rat,[],[s1022,s440,s1364,s680,s983,s450,s603,s607,s1363,s869,s1011,s684,s516,s557,s594,s530,s416,s412,s404,s626,s562,s543,s539,s434,s592,s580,s445,s644,s526,s462,s1403,s1402,s1401,s1400,s1399,s1554,s1398,s1397,s1396,s1395,s1394,s1393,s1392,s1391,s1543,s1542,s1541,s1540,s1553,s1390,s1389,s1388,s1539,s1552,s1387,s1386,s1385,s1538,s1551,s1550]) ).

cnf(s1565,plain,
    ( spl136_392
    | spl136_410
    | spl136_256
    | spl136_279
    | spl136_272
    | spl136_402
    | spl136_391 ),
    inference(rat,[],[s1363,s988,s983,s764,s736,s874,s1125,s1564,s1559,s458,s522,s586,s631,s639,s875,s1018,s1033,s442,s568,s572,s576,s634,s751,s1090,s1124,s1563,s1534,s1545]) ).

cnf(s1566,plain,
    ( spl136_410
    | spl136_272
    | spl136_256
    | spl136_279
    | spl136_391
    | spl136_402 ),
    inference(rat,[],[s1360,s1015,s990,s1358,s734,s874,s865,s1362,s681,s1002,s1085,s1231,s1565]) ).

cnf(s1567,plain,
    ( ~ spl136_289
    | spl136_259
    | spl136_397
    | spl136_275
    | spl136_424
    | spl136_391
    | spl136_256 ),
    inference(rat,[],[s1020,s1356,s755,s1023,s1033,s1364,s760,s983,s1083,s738,s1355,s857,s1079,s867,s734,s761,s865,s985,s1533,s1546]) ).

cnf(s1568,plain,
    ( spl136_272
    | spl136_402
    | spl136_256
    | spl136_279
    | spl136_391 ),
    inference(rat,[],[s984,s683,s1357,s1023,s1079,s1364,s740,s983,s1048,s1363,s1011,s1354,s1018,s760,s1044,s1066,s763,s1567,s853,s1081,s1216,s1362,s1353,s1025,s1219,s1224,s1566,s1547]) ).

cnf(s1569,plain,
    ( spl136_264
    | spl136_421
    | ~ spl136_293
    | spl136_256 ),
    inference(rat,[],[s1078,s755,s1357,s878,s1077,s1218,s684,s1365,s1223,s874,s1533]) ).

cnf(s1570,plain,
    ( ~ spl136_394
    | ~ spl136_397
    | spl136_402
    | spl136_256 ),
    inference(rat,[],[s864,s740,s734,s1073,s1085,s736,s983,s1048,s1081,s990,s1545]) ).

cnf(s1571,plain,
    ( spl136_264
    | ~ spl136_293
    | spl136_256 ),
    inference(rat,[],[s1084,s751,s1357,s1124,s875,s1077,s1218,s1569,s684,s1365,s1223,s874,s1534]) ).

cnf(s1572,plain,
    ( spl136_402
    | spl136_391
    | spl136_256
    | spl136_279 ),
    inference(rat,[],[s1020,s1356,s756,s867,s1029,s761,s1219,s1023,s1076,s1360,s1364,s1570,s983,s1232,s1363,s1011,s1571,s1358,s863,s1027,s1568,s1546]) ).

cnf(s1573,plain,
    ( ~ spl136_392
    | ~ spl136_402
    | spl136_256 ),
    inference(rat,[],[s864,s681,s734,s1002,s1085,s1074,s1001]) ).

cnf(s1574,plain,
    ( spl136_421
    | ~ spl136_250
    | spl136_417
    | spl136_415
    | spl136_392
    | spl136_397
    | spl136_267
    | spl136_403
    | spl136_256 ),
    inference(rat,[],[s985,s681,s1557,s857,s394,s1357,s653,s992,s1202,s755,s1544,s1533]) ).

cnf(s1575,plain,
    ( spl136_272
    | ~ spl136_402
    | spl136_279
    | spl136_256 ),
    inference(rat,[],[s1559,s764,s1018,s1033,s751,s1124,s1574,s398,s874,s1200,s1224,s1362,s1353,s1205,s1204,s1053,s988,s1218,s1112,s1365,s1011,s1363,s983,s736,s1573,s1074,s1534,s1545]) ).

cnf(s1576,plain,
    ( spl136_391
    | spl136_279
    | spl136_256 ),
    inference(rat,[],[s1044,s760,s684,s1018,s1077,s1357,s857,s681,s1567,s1025,s1219,s1360,s863,s1575,s1218,s1365,s1011,s1363,s983,s736,s1573,s1001,s1053,s1074,s1572,s1545]) ).

cnf(s1577,plain,
    ( ~ spl136_413
    | spl136_420
    | ~ spl136_410
    | spl136_245
    | spl136_390 ),
    inference(rat,[],[s655,s1208,s397,s752,s1221,s1027,s1544,s1532]) ).

cnf(s1578,plain,
    ( spl136_279
    | spl136_256 ),
    inference(rat,[],[s736,s1573,s1074,s1358,s1577,s872,s761,s1219,s1352,s983,s1232,s1571,s1363,s393,s1041,s1046,s1107,s1212,s1230,s1576,s1343,s1546,s1545]) ).

cnf(s1579,plain,
    ( spl136_421
    | spl136_413
    | spl136_272
    | ~ spl136_279 ),
    inference(rat,[],[s752,s1065,s1019,s1356,s756,s1560,s1051,s1049,s859]) ).

cnf(s1580,plain,
    ( ~ spl136_421
    | spl136_272
    | ~ spl136_279 ),
    inference(rat,[],[s1019,s683,s752,s1090,s1124,s1051,s859]) ).

cnf(s1581,plain,
    ( spl136_272
    | ~ spl136_279 ),
    inference(rat,[],[s1087,s1356,s752,s984,s1016,s683,s1216,s1579,s1580,s1051,s859]) ).

cnf(s1582,plain,
    ( spl136_296
    | spl136_421
    | ~ spl136_293
    | spl136_256 ),
    inference(rat,[],[s544,s1005,s678,s755,s458,s627,s594,s530,s416,s412,s404,s601,s537,s448,s444,s440,s436,s642,s607,s578,s514,s450,s869,s1365,s630,s566,s559,s863,s590,s526,s462,s1223,s524,s874,s638,s587,s574,s1029,s634,s572,s564,s984,s1356,s1071,s756,s1027,s1581,s1049,s859,s1578,s1403,s1402,s1401,s1400,s1399,s1554,s1398,s1397,s1396,s1395,s1394,s1393,s1392,s1391,s1543,s1542,s1541,s1540,s1553,s1390,s1389,s1388,s1539,s1552,s1387,s1386,s1385,s1538,s1551,s1550,s1533]) ).

cnf(s1583,plain,
    ( spl136_421
    | spl136_402
    | spl136_256 ),
    inference(rat,[],[s864,s740,s1355,s1073,s1083,s751,s760,s1033,s1582,s1065,s1356,s1071,s756,s1049,s996,s1364,s1041,s1365,s859,s1051,s874,s1358,s1027,s1581,s1578,s1534]) ).

cnf(s1584,plain,
    ( spl136_402
    | spl136_256 ),
    inference(rat,[],[s680,s585,s628,s640,s459,s542,s1071,s1228,s1356,s564,s572,s576,s634,s1021,s1090,s1583,s524,s462,s526,s590,s874,s1223,s1358,s594,s530,s416,s412,s404,s601,s537,s448,s444,s440,s436,s642,s607,s578,s514,s450,s869,s1365,s859,s1027,s630,s566,s559,s863,s1581,s1578,s1403,s1402,s1401,s1400,s1399,s1554,s1398,s1397,s1396,s1395,s1394,s1393,s1392,s1391,s1543,s1542,s1541,s1540,s1553,s1390,s1389,s1388,s1539,s1552,s1387,s1386,s1385,s1538,s1551,s1550]) ).

cnf(s1585,plain,
    spl136_256,
    inference(rat,[],[s1028,s756,s761,s1021,s1003,s1357,s734,s857,s681,s1567,s1025,s1219,s1360,s1001,s1053,s1074,s1584,s863,s1027,s1581,s1041,s1234,s1365,s859,s1049,s1578,s1546]) ).

cnf(s1586,plain,
    spl136_249,
    inference(rat,[],[s1203,s1585]) ).

cnf(s1587,plain,
    ~ spl136_394,
    inference(rat,[],[s1061,s1585]) ).

cnf(s1588,plain,
    ~ spl136_399,
    inference(rat,[],[s1055,s1585]) ).

cnf(s1589,plain,
    ~ spl136_389,
    inference(rat,[],[s981,s1585]) ).

cnf(s1590,plain,
    spl136_65,
    inference(rat,[],[s1277,s1485,s1330,s1585]) ).

cnf(s1592,plain,
    ~ spl136_245,
    inference(rat,[],[s396,s1586]) ).

cnf(s1593,plain,
    ( ~ spl136_293
    | ~ spl136_396 ),
    inference(rat,[],[s1082,s760,s1354,s875,s1077,s684,s874,s1223,s1046,s1011]) ).

cnf(s1594,plain,
    ( spl136_275
    | ~ spl136_396
    | spl136_402 ),
    inference(rat,[],[s1078,s1357,s740,s1018,s985,s751,s761,s1231,s1219,s1362,s1352,s1016,s867,s1356,s984,s683,s1216,s1027,s1358,s1593,s1023,s1364,s1046,s1588,s1534,s1546,s1589]) ).

cnf(s1595,plain,
    ( ~ spl136_396
    | spl136_402 ),
    inference(rat,[],[s755,s1090,s992,s1357,s1073,s1085,s736,s1125,s1594,s984,s683,s1027,s1216,s1358,s1593,s1023,s1364,s1046,s1533,s1589,s1545]) ).

cnf(s1596,plain,
    ( spl136_421
    | spl136_402 ),
    inference(rat,[],[s1064,s751,s1356,s1073,s1071,s755,s756,s1049,s859,s878,s875,s684,s1223,s1358,s1027,s1581,s1107,s1041,s1364,s1051,s1363,s1595,s1534,s1533,s1589,s1587]) ).

cnf(s1597,plain,
    spl136_402,
    inference(rat,[],[s1084,s1357,s751,s1021,s1124,s1596,s875,s1077,s684,s1223,s1358,s1041,s1107,s1027,s1364,s1581,s1051,s1363,s1595,s1534,s1589,s1587]) ).

cnf(s1598,plain,
    ~ spl136_413,
    inference(rat,[],[s1205,s1597]) ).

cnf(s1599,plain,
    ~ spl136_403,
    inference(rat,[],[s1204,s1597]) ).

cnf(s1600,plain,
    ~ spl136_267,
    inference(rat,[],[s1074,s1597]) ).

cnf(s1601,plain,
    ~ spl136_397,
    inference(rat,[],[s1053,s1597]) ).

cnf(s1604,plain,
    spl136_392,
    inference(rat,[],[s736,s1545,s1589,s1600]) ).

cnf(s1605,plain,
    ~ spl136_262,
    inference(rat,[],[s1085,s1604]) ).

cnf(s1606,plain,
    ~ spl136_278,
    inference(rat,[],[s1002,s1604]) ).

cnf(s1619,plain,
    spl136_398,
    inference(rat,[],[s738,s1587,s1601,s1606]) ).

cnf(s1621,plain,
    ~ spl136_289,
    inference(rat,[],[s985,s1619]) ).

cnf(s1622,plain,
    spl136_77,
    inference(rat,[],[s1288,s1336,s1331,s1332,s1330,s1619]) ).

cnf(s1633,plain,
    ( spl136_421
    | spl136_279 ),
    inference(rat,[],[s1200,s754,s398,s984,s653,s1356,s1202,s1029,s1071,s755,s756,s1076,s1023,s1364,s1046,s1363,s1592,s1544,s1533,s1599,s1598,s1589,s1587]) ).

cnf(s1634,plain,
    spl136_279,
    inference(rat,[],[s862,s754,s683,s867,s1071,s1356,s1021,s1090,s1633,s1023,s1364,s1046,s1363,s1589,s1587]) ).

cnf(s1635,plain,
    ~ spl136_390,
    inference(rat,[],[s1051,s1634]) ).

cnf(s1636,plain,
    ~ spl136_401,
    inference(rat,[],[s1049,s1634]) ).

cnf(s1637,plain,
    ~ spl136_261,
    inference(rat,[],[s859,s1634]) ).

cnf(s1639,plain,
    spl136_272,
    inference(rat,[],[s1581,s1634]) ).

cnf(s1640,plain,
    spl136_391,
    inference(rat,[],[s1364,s1589,s1635]) ).

cnf(s1642,plain,
    ~ spl136_282,
    inference(rat,[],[s863,s1639]) ).

cnf(s1646,plain,
    ~ spl136_275,
    inference(rat,[],[s1107,s1640]) ).

cnf(s1648,plain,
    ~ spl136_264,
    inference(rat,[],[s1041,s1640]) ).

cnf(s1654,plain,
    spl136_410,
    inference(rat,[],[s1360,s1601,s1642]) ).

cnf(s1659,plain,
    spl136_421,
    inference(rat,[],[s684,s878,s1222,s755,s756,s1646,s1648,s1533,s1599,s1598,s1636]) ).

cnf(s1662,plain,
    ~ spl136_415,
    inference(rat,[],[s1021,s1659]) ).

cnf(s1668,plain,
    spl136_417,
    inference(rat,[],[s1356,s1637,s1662]) ).

cnf(s1669,plain,
    spl136_416,
    inference(rat,[],[s1357,s1605,s1662]) ).

cnf(s1671,plain,
    ~ spl136_295,
    inference(rat,[],[s1071,s1668]) ).

cnf(s1682,plain,
    spl136_298,
    inference(rat,[],[s763,s1621,s1547,s1671]) ).

cnf(s1689,plain,
    spl136_187,
    inference(rat,[],[s1291,s1450,s1287,s1290,s1286,s1284,s1280,s1283,s1279,s1285,s1292,s725,s1296,s699,s708,s951,s968,s1379,s1375,s1383,s815,s1151,s1176,s391,s1310,s1373,s1374,s936,s1372,s1332,s1682,s1464,s1465,s1590,s1536,s1622,s1549,s1669,s1330,s1336,s1668,s1659,s1654,s99,s1640,s1639,s1634,s1604,s1597,s1502,s1493,s1484,s1528,s1500,s1497,s98,s1438,s1494,s1529,s97,s1482,s1473]) ).

cnf(s1691,plain,
    ~ spl136_381,
    inference(rat,[],[s904,s1482,s97,s1689]) ).

cnf(s1692,plain,
    spl136_386,
    inference(rat,[],[s1374,s1529,s1691]) ).

cnf(s1695,plain,
    ~ spl136_388,
    inference(rat,[],[s979,s1521,s98,s1692]) ).

cnf(s1696,plain,
    ~ spl136_190,
    inference(rat,[],[s936,s1482,s97,s1692]) ).

cnf(s1699,plain,
    ~ spl136_188,
    inference(rat,[],[s1379,s1156,s963,s106,s392,s361,s851,s1155,s1528,s98,s1438,s1494,s1696,s1514,s1531]) ).

cnf(s1702,plain,
    spl136_178,
    inference(rat,[],[s957,s714,s716,s963,s915,s392,s1695,s1699,s1696,s98,s1438,s1494]) ).

cnf(s1703,plain,
    ~ spl136_383,
    inference(rat,[],[s945,s1438,s98,s1702]) ).

cnf(s1704,plain,
    ~ spl136_380,
    inference(rat,[],[s911,s1521,s98,s1702]) ).

cnf(s1705,plain,
    spl136_379,
    inference(rat,[],[s1377,s1493,s1704]) ).

cnf(s1707,plain,
    ~ spl136_382,
    inference(rat,[],[s974,s1430,s99,s1705]) ).

cnf(s1708,plain,
    ~ spl136_385,
    inference(rat,[],[s922,s1482,s97,s1705]) ).

cnf(s1711,plain,
    spl136_356,
    inference(rat,[],[s703,s1703,s1504,s1707]) ).

cnf(s1714,plain,
    spl136_367,
    inference(rat,[],[s707,s1699,s1503,s1708]) ).

cnf(s1715,plain,
    $false,
    inference(rat,[],[s907,s1714,s1711]) ).

fof(f6840,plain,
    $false,
    inference(avatar_sat_refutation,[],[s1715]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ALG118+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19  % Computer : n007.cluster.edu
% 0.07/0.19  % Model    : x86_64 x86_64
% 0.07/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19  % Memory   : 8046.5625MB
% 0.07/0.19  % OS       : Linux 6.8.0-71-generic
% 0.07/0.19  % CPULimit : 300
% 0.07/0.19  % WCLimit  : 300
% 0.07/0.19  % DateTime : Mon Sep 28 19:28:41 UTC 2026
% 0.07/0.19  % CPUTime  : 
% 0.07/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.23  Running first-order model finding
% 0.07/0.23  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.80/0.45  % (2734042)Will run a generic schedule for satisfiability detection.
% 0.80/0.45  % (2734047)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=166402916_2999 on theBenchmark for (2999ds/0Mi)
% 0.80/0.45  % (2734048)% WARNING: option uhcvi not known.
% 0.80/0.45  % (2734049)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2641724608:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.80/0.45  % (2734048)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1855340071:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.80/0.45  % (2734050)dis+10_1_sil=32000:sp=arity:random_seed=588145331:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.80/0.45  % (2734051)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3215273:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.80/0.45  % (2734052)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3421740365:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.80/0.45  % (2734053)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3376255186:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.80/0.45  % Detected minimum model sizes of [8]
% 0.80/0.45  % Detected maximum model sizes of [max]
% 0.80/0.45  % TRYING [8]
% 0.80/0.45  % (2734051)Instruction limit reached! 
% 0.80/0.45  % (2734051)------------------------------
% 0.80/0.45  % (2734051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.45  % (2734051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.45  % (2734051)CaDiCaL version: 2.1.3
% 0.80/0.45  % (2734051)Termination reason: Instruction limit
% 0.80/0.45  % (2734051)Termination phase: Saturation
% 0.80/0.45  % (2734051)Time elapsed: 0.052 s
% 0.80/0.45  % (2734051)Peak memory usage: 11 MB
% 0.80/0.45  % (2734051)Instructions burned: 116 (million)
% 0.80/0.45  % (2734050)Instruction limit reached! 
% 0.80/0.45  % (2734050)------------------------------
% 0.80/0.45  % (2734050)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.45  % (2734050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.45  % (2734050)CaDiCaL version: 2.1.3
% 0.80/0.45  % (2734050)Termination reason: Instruction limit
% 0.80/0.45  % (2734050)Termination phase: Saturation
% 0.80/0.45  % (2734050)Time elapsed: 0.052 s
% 0.80/0.45  % (2734050)Peak memory usage: 13 MB
% 0.80/0.45  % (2734050)Instructions burned: 104 (million)
% 0.80/0.45  % (2734052)Instruction limit reached! 
% 0.80/0.45  % (2734052)------------------------------
% 0.80/0.45  % (2734052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.45  % (2734052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.45  % (2734052)CaDiCaL version: 2.1.3
% 0.80/0.45  % (2734052)Termination reason: Instruction limit
% 0.80/0.45  % (2734052)Termination phase: Saturation
% 0.80/0.45  % (2734052)Time elapsed: 0.060 s
% 0.80/0.45  % (2734052)Peak memory usage: 13 MB
% 0.80/0.45  % (2734052)Instructions burned: 132 (million)
% 0.80/0.45  % (2734061)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2596662267:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.80/0.45  % (2734062)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2259043417:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.80/0.45  % (2734063)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1172191126:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.80/0.45  % (2734053)Instruction limit reached! 
% 0.80/0.45  % (2734053)------------------------------
% 0.80/0.45  % (2734053)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.45  % (2734053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.45  % (2734053)CaDiCaL version: 2.1.3
% 0.80/0.45  % (2734053)Termination reason: Instruction limit
% 0.80/0.45  % (2734053)Termination phase: Saturation
% 0.80/0.45  % (2734053)Time elapsed: 0.084 s
% 0.80/0.45  % (2734053)Peak memory usage: 14 MB
% 0.80/0.45  % (2734053)Instructions burned: 159 (million)
% 0.80/0.45  % (2734067)ott-21_1_sil=16000:fs=off:random_seed=1216633552:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.80/0.45  % Detected minimum model sizes of [8]
% 0.80/0.45  % Detected maximum model sizes of [max]
% 0.80/0.45  % TRYING [8]
% 0.80/0.45  % TRYING [9]
% 0.80/0.45  % (2734062)Instruction limit reached! 
% 0.80/0.45  % (2734062)------------------------------
% 0.80/0.45  % (2734062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.45  % (2734062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.45  % (2734062)CaDiCaL version: 2.1.3
% 0.80/0.45  % (2734062)Termination reason: Instruction limit
% 0.80/0.45  % (2734062)Termination phase: Saturation
% 0.80/0.45  % (2734062)Time elapsed: 0.066 s
% 0.80/0.45  % (2734062)Peak memory usage: 14 MB
% 0.80/0.45  % (2734062)Instructions burned: 132 (million)
% 0.80/0.45  % (2734048) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2734042-2734048"...
% 0.80/0.45  % (2734069)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1605692326:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 0.80/0.45  % (2734048)...printing done.
% 0.80/0.45  % (2734048)Refutation found. Thanks to Tanya!
% 0.80/0.45  % SZS status Theorem for theBenchmark
% 0.80/0.45  % SZS output start Proof for theBenchmark
% See solution above
% 0.80/0.46  % (2734048)------------------------------
% 0.80/0.46  % (2734048)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.46  % (2734048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.46  % (2734048)CaDiCaL version: 2.1.3
% 0.80/0.46  % (2734048)Termination reason: Refutation
% 0.80/0.46  % (2734048)Time elapsed: 0.165 s
% 0.80/0.46  % (2734048)Peak memory usage: 16 MB
% 0.80/0.46  % (2734048)Instructions burned: 320 (million)
% 0.80/0.46  % (2734042)Success in time 0.215 s
% 0.80/0.46  % Vampire exiting
%------------------------------------------------------------------------------