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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : ALG123+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 : n016.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 09:23:12 AM UTC 2026

% Result   : Theorem 0.95s 0.41s
% Output   : Refutation 0.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   40
%            Number of leaves      :  193
% Syntax   : Number of formulae    : 1404 ( 156 unt; 177 def)
%            Number of atoms       : 5153 (2106 equ)
%            Maximal formula atoms :  180 (   3 avg)
%            Number of connectives : 6298 (2549   ~;2998   |; 574   &)
%                                         ( 177 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   49 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :  209 ( 207 usr; 208 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(e10,e10) != e10
          | op1(e10,e10) != e10 )
        & ( op1(e11,e11) != e10
          | op1(e11,e10) != e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) != e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) != e13 ) )
      | ( op1(e10,e11) = e11
        & ( op1(e10,e10) != e10
          | op1(e10,e10) != e10 )
        & ( op1(e11,e11) != e10
          | op1(e11,e10) != e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) != e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) != e13 ) )
      | ( op1(e10,e12) = e12
        & ( op1(e10,e10) != e10
          | op1(e10,e10) != e10 )
        & ( op1(e11,e11) != e10
          | op1(e11,e10) != e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) != e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) != e13 ) )
      | ( op1(e10,e13) = e13
        & ( op1(e10,e10) != e10
          | op1(e10,e10) != e10 )
        & ( op1(e11,e11) != e10
          | op1(e11,e10) != e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) != e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) != e13 ) )
      | ( op1(e11,e10) = e10
        & ( op1(e10,e10) != e11
          | op1(e10,e11) != e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) != e11 )
        & ( op1(e12,e12) != e11
          | op1(e12,e11) != e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) != e13 ) )
      | ( op1(e11,e11) = e11
        & ( op1(e10,e10) != e11
          | op1(e10,e11) != e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) != e11 )
        & ( op1(e12,e12) != e11
          | op1(e12,e11) != e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) != e13 ) )
      | ( op1(e11,e12) = e12
        & ( op1(e10,e10) != e11
          | op1(e10,e11) != e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) != e11 )
        & ( op1(e12,e12) != e11
          | op1(e12,e11) != e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) != e13 ) )
      | ( op1(e11,e13) = e13
        & ( op1(e10,e10) != e11
          | op1(e10,e11) != e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) != e11 )
        & ( op1(e12,e12) != e11
          | op1(e12,e11) != e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) != e13 ) )
      | ( op1(e12,e10) = e10
        & ( op1(e10,e10) != e12
          | op1(e10,e12) != e10 )
        & ( op1(e11,e11) != e12
          | op1(e11,e12) != e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) != e12 )
        & ( op1(e13,e13) != e12
          | op1(e13,e12) != e13 ) )
      | ( op1(e12,e11) = e11
        & ( op1(e10,e10) != e12
          | op1(e10,e12) != e10 )
        & ( op1(e11,e11) != e12
          | op1(e11,e12) != e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) != e12 )
        & ( op1(e13,e13) != e12
          | op1(e13,e12) != e13 ) )
      | ( op1(e12,e12) = e12
        & ( op1(e10,e10) != e12
          | op1(e10,e12) != e10 )
        & ( op1(e11,e11) != e12
          | op1(e11,e12) != e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) != e12 )
        & ( op1(e13,e13) != e12
          | op1(e13,e12) != e13 ) )
      | ( op1(e12,e13) = e13
        & ( op1(e10,e10) != e12
          | op1(e10,e12) != e10 )
        & ( op1(e11,e11) != e12
          | op1(e11,e12) != e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) != e12 )
        & ( op1(e13,e13) != e12
          | op1(e13,e12) != e13 ) )
      | ( op1(e13,e10) = e10
        & ( op1(e10,e10) != e13
          | op1(e10,e13) != e10 )
        & ( op1(e11,e11) != e13
          | op1(e11,e13) != e11 )
        & ( op1(e12,e12) != e13
          | op1(e12,e13) != e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) != e13 ) )
      | ( op1(e13,e11) = e11
        & ( op1(e10,e10) != e13
          | op1(e10,e13) != e10 )
        & ( op1(e11,e11) != e13
          | op1(e11,e13) != e11 )
        & ( op1(e12,e12) != e13
          | op1(e12,e13) != e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) != e13 ) )
      | ( op1(e13,e12) = e12
        & ( op1(e10,e10) != e13
          | op1(e10,e13) != e10 )
        & ( op1(e11,e11) != e13
          | op1(e11,e13) != e11 )
        & ( op1(e12,e12) != e13
          | op1(e12,e13) != e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) != e13 ) )
      | ( op1(e13,e13) = e13
        & ( op1(e10,e10) != e13
          | op1(e10,e13) != e10 )
        & ( op1(e11,e11) != e13
          | op1(e11,e13) != e11 )
        & ( op1(e12,e12) != e13
          | op1(e12,e13) != e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) != e13 ) ) )
    & ( op1(e10,e10) = e10
      | op1(e11,e11) = e11
      | op1(e12,e12) = e12
      | op1(e13,e13) = e13 )
    & ( op1(e10,e10) != e10
      | op1(e10,e10) = e10 )
    & ( op1(e10,e10) != e11
      | op1(e10,e11) = e10 )
    & ( op1(e10,e10) != e12
      | op1(e10,e12) = e10 )
    & ( op1(e10,e10) != e13
      | op1(e10,e13) = e10 )
    & ( op1(e11,e11) != e10
      | op1(e11,e10) = e11 )
    & ( op1(e11,e11) != e11
      | op1(e11,e11) = e11 )
    & ( op1(e11,e11) != e12
      | op1(e11,e12) = e11 )
    & ( op1(e11,e11) != e13
      | op1(e11,e13) = e11 )
    & ( op1(e12,e12) != e10
      | op1(e12,e10) = e12 )
    & ( op1(e12,e12) != e11
      | op1(e12,e11) = e12 )
    & ( op1(e12,e12) != e12
      | op1(e12,e12) = e12 )
    & ( op1(e12,e12) != e13
      | op1(e12,e13) = e12 )
    & ( op1(e13,e13) != e10
      | op1(e13,e10) = e13 )
    & ( op1(e13,e13) != e11
      | op1(e13,e11) = e13 )
    & ( op1(e13,e13) != e12
      | op1(e13,e12) = 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(e20,e20) != e20
          | op2(e20,e20) != e20 )
        & ( op2(e21,e21) != e20
          | op2(e21,e20) != e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) != e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) != e23 ) )
      | ( op2(e20,e21) = e21
        & ( op2(e20,e20) != e20
          | op2(e20,e20) != e20 )
        & ( op2(e21,e21) != e20
          | op2(e21,e20) != e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) != e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) != e23 ) )
      | ( op2(e20,e22) = e22
        & ( op2(e20,e20) != e20
          | op2(e20,e20) != e20 )
        & ( op2(e21,e21) != e20
          | op2(e21,e20) != e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) != e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) != e23 ) )
      | ( op2(e20,e23) = e23
        & ( op2(e20,e20) != e20
          | op2(e20,e20) != e20 )
        & ( op2(e21,e21) != e20
          | op2(e21,e20) != e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) != e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) != e23 ) )
      | ( op2(e21,e20) = e20
        & ( op2(e20,e20) != e21
          | op2(e20,e21) != e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) != e21 )
        & ( op2(e22,e22) != e21
          | op2(e22,e21) != e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) != e23 ) )
      | ( op2(e21,e21) = e21
        & ( op2(e20,e20) != e21
          | op2(e20,e21) != e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) != e21 )
        & ( op2(e22,e22) != e21
          | op2(e22,e21) != e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) != e23 ) )
      | ( op2(e21,e22) = e22
        & ( op2(e20,e20) != e21
          | op2(e20,e21) != e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) != e21 )
        & ( op2(e22,e22) != e21
          | op2(e22,e21) != e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) != e23 ) )
      | ( op2(e21,e23) = e23
        & ( op2(e20,e20) != e21
          | op2(e20,e21) != e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) != e21 )
        & ( op2(e22,e22) != e21
          | op2(e22,e21) != e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) != e23 ) )
      | ( op2(e22,e20) = e20
        & ( op2(e20,e20) != e22
          | op2(e20,e22) != e20 )
        & ( op2(e21,e21) != e22
          | op2(e21,e22) != e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) != e22 )
        & ( op2(e23,e23) != e22
          | op2(e23,e22) != e23 ) )
      | ( op2(e22,e21) = e21
        & ( op2(e20,e20) != e22
          | op2(e20,e22) != e20 )
        & ( op2(e21,e21) != e22
          | op2(e21,e22) != e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) != e22 )
        & ( op2(e23,e23) != e22
          | op2(e23,e22) != e23 ) )
      | ( op2(e22,e22) = e22
        & ( op2(e20,e20) != e22
          | op2(e20,e22) != e20 )
        & ( op2(e21,e21) != e22
          | op2(e21,e22) != e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) != e22 )
        & ( op2(e23,e23) != e22
          | op2(e23,e22) != e23 ) )
      | ( op2(e22,e23) = e23
        & ( op2(e20,e20) != e22
          | op2(e20,e22) != e20 )
        & ( op2(e21,e21) != e22
          | op2(e21,e22) != e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) != e22 )
        & ( op2(e23,e23) != e22
          | op2(e23,e22) != e23 ) )
      | ( op2(e23,e20) = e20
        & ( op2(e20,e20) != e23
          | op2(e20,e23) != e20 )
        & ( op2(e21,e21) != e23
          | op2(e21,e23) != e21 )
        & ( op2(e22,e22) != e23
          | op2(e22,e23) != e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) != e23 ) )
      | ( op2(e23,e21) = e21
        & ( op2(e20,e20) != e23
          | op2(e20,e23) != e20 )
        & ( op2(e21,e21) != e23
          | op2(e21,e23) != e21 )
        & ( op2(e22,e22) != e23
          | op2(e22,e23) != e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) != e23 ) )
      | ( op2(e23,e22) = e22
        & ( op2(e20,e20) != e23
          | op2(e20,e23) != e20 )
        & ( op2(e21,e21) != e23
          | op2(e21,e23) != e21 )
        & ( op2(e22,e22) != e23
          | op2(e22,e23) != e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) != e23 ) )
      | ( op2(e23,e23) = e23
        & ( op2(e20,e20) != e23
          | op2(e20,e23) != e20 )
        & ( op2(e21,e21) != e23
          | op2(e21,e23) != e21 )
        & ( op2(e22,e22) != e23
          | op2(e22,e23) != e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) != e23 ) ) )
    & ( op2(e20,e20) = e20
      | op2(e21,e21) = e21
      | op2(e22,e22) = e22
      | op2(e23,e23) = e23 )
    & ( op2(e20,e20) != e20
      | op2(e20,e20) = e20 )
    & ( op2(e20,e20) != e21
      | op2(e20,e21) = e20 )
    & ( op2(e20,e20) != e22
      | op2(e20,e22) = e20 )
    & ( op2(e20,e20) != e23
      | op2(e20,e23) = e20 )
    & ( op2(e21,e21) != e20
      | op2(e21,e20) = e21 )
    & ( op2(e21,e21) != e21
      | op2(e21,e21) = e21 )
    & ( op2(e21,e21) != e22
      | op2(e21,e22) = e21 )
    & ( op2(e21,e21) != e23
      | op2(e21,e23) = e21 )
    & ( op2(e22,e22) != e20
      | op2(e22,e20) = e22 )
    & ( op2(e22,e22) != e21
      | op2(e22,e21) = e22 )
    & ( op2(e22,e22) != e22
      | op2(e22,e22) = e22 )
    & ( op2(e22,e22) != e23
      | op2(e22,e23) = e22 )
    & ( op2(e23,e23) != e20
      | op2(e23,e20) = e23 )
    & ( op2(e23,e23) != e21
      | op2(e23,e21) = e23 )
    & ( op2(e23,e23) != e22
      | op2(e23,e22) = e23 )
    & ( op2(e23,e23) != e23
      | op2(e23,e23) = e23 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).

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

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

fof(f14,axiom,
    ( h1(e13) = e20
    & h1(e10) = op2(e20,e20)
    & h1(e11) = op2(op2(op2(e20,e20),e20),e20)
    & h1(e12) = op2(op2(e20,e20),e20) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).

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

fof(f17,axiom,
    ( h4(e13) = e23
    & h4(e10) = op2(e23,e23)
    & h4(e11) = op2(op2(op2(e23,e23),e23),e23)
    & h4(e12) = 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(f21,plain,
    ( op1(e10,e10) = e13
    | op1(e10,e10) = e12
    | op1(e10,e10) = e11
    | e10 = op1(e10,e10) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f31,plain,
    ( e13 = op1(e12,e12)
    | e12 = op1(e12,e12)
    | e11 = op1(e12,e12)
    | e10 = op1(e12,e12) ),
    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(f42,plain,
    ( e12 = op1(e13,e10)
    | e12 = op1(e12,e10)
    | e12 = op1(e11,e10)
    | op1(e10,e10) = e12 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f43,plain,
    ( e13 = op1(e10,e13)
    | e13 = op1(e10,e12)
    | e13 = op1(e10,e11)
    | op1(e10,e10) = e13 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f45,plain,
    ( e10 = op1(e11,e13)
    | e10 = op1(e11,e12)
    | e10 = op1(e11,e11)
    | e10 = op1(e11,e10) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f46,plain,
    ( e10 = op1(e13,e11)
    | e10 = op1(e12,e11)
    | e10 = op1(e11,e11)
    | e10 = 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(f54,plain,
    ( e10 = op1(e13,e12)
    | e10 = op1(e12,e12)
    | e10 = op1(e11,e12)
    | e10 = op1(e10,e12) ),
    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(f57,plain,
    ( e12 = op1(e12,e13)
    | e12 = op1(e12,e12)
    | e12 = op1(e12,e11)
    | e12 = op1(e12,e10) ),
    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(f63,plain,
    ( e11 = op1(e13,e13)
    | e11 = op1(e13,e12)
    | e11 = op1(e13,e11)
    | e11 = 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(f69,plain,
    ( op2(e20,e20) = e23
    | op2(e20,e20) = e22
    | op2(e20,e20) = e21
    | e20 = op2(e20,e20) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f74,plain,
    ( e23 = op2(e21,e21)
    | e22 = op2(e21,e21)
    | e21 = op2(e21,e21)
    | e20 = op2(e21,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(f87,plain,
    ( e21 = op2(e20,e23)
    | e21 = op2(e20,e22)
    | e21 = op2(e20,e21)
    | op2(e20,e20) = e21 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f88,plain,
    ( e21 = op2(e23,e20)
    | e21 = op2(e22,e20)
    | e21 = op2(e21,e20)
    | op2(e20,e20) = e21 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f90,plain,
    ( e22 = op2(e23,e20)
    | e22 = op2(e22,e20)
    | e22 = op2(e21,e20)
    | op2(e20,e20) = e22 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f91,plain,
    ( e23 = op2(e20,e23)
    | e23 = op2(e20,e22)
    | e23 = op2(e20,e21)
    | op2(e20,e20) = e23 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f93,plain,
    ( e20 = op2(e21,e23)
    | e20 = op2(e21,e22)
    | e20 = op2(e21,e21)
    | e20 = op2(e21,e20) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f94,plain,
    ( e20 = op2(e23,e21)
    | e20 = op2(e22,e21)
    | e20 = op2(e21,e21)
    | e20 = 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(f100,plain,
    ( e23 = op2(e23,e21)
    | e23 = op2(e22,e21)
    | e23 = op2(e21,e21)
    | e23 = op2(e20,e21) ),
    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(f105,plain,
    ( e22 = op2(e22,e23)
    | e22 = op2(e22,e22)
    | e22 = op2(e22,e21)
    | e22 = 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(f111,plain,
    ( e21 = op2(e23,e23)
    | e21 = op2(e23,e22)
    | e21 = op2(e23,e21)
    | e21 = op2(e23,e20) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f112,plain,
    ( e21 = op2(e23,e23)
    | e21 = op2(e22,e23)
    | e21 = op2(e21,e23)
    | e21 = op2(e20,e23) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f113,plain,
    ( e22 = op2(e23,e23)
    | e22 = op2(e23,e22)
    | e22 = op2(e23,e21)
    | e22 = 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(f123,plain,
    op1(e12,e12) != op1(e12,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    op1(e12,e11) != op1(e12,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f125,plain,
    op1(e12,e11) != op1(e12,e12),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    op1(e12,e10) != op1(e12,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    op1(e12,e10) != op1(e12,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(f143,plain,
    op1(e11,e13) != op1(e12,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f157,plain,
    op1(e10,e11) != op1(e12,e11),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    op1(e12,e10) != op1(e13,e10),
    inference(cnf_transformation,[],[f5]) ).

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

fof(f170,plain,
    op2(e23,e20) != op2(e23,e21),
    inference(cnf_transformation,[],[f6]) ).

fof(f181,plain,
    op2(e21,e20) != op2(e21,e22),
    inference(cnf_transformation,[],[f6]) ).

fof(f188,plain,
    op2(e20,e20) != op2(e20,e21),
    inference(cnf_transformation,[],[f6]) ).

fof(f189,plain,
    op2(e22,e23) != op2(e23,e23),
    inference(cnf_transformation,[],[f6]) ).

fof(f196,plain,
    op2(e21,e22) != op2(e23,e22),
    inference(cnf_transformation,[],[f6]) ).

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

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

fof(f204,plain,
    op2(e20,e21) != op2(e23,e21),
    inference(cnf_transformation,[],[f6]) ).

fof(f206,plain,
    op2(e20,e21) != op2(e21,e21),
    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(f222,plain,
    e20 != e23,
    inference(cnf_transformation,[],[f8]) ).

fof(f223,plain,
    e20 != e22,
    inference(cnf_transformation,[],[f8]) ).

fof(f244,plain,
    ( e13 != op1(e13,e10)
    | e10 != op1(e13,e13)
    | ~ sP13 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f248,plain,
    ( e13 != op1(e13,e10)
    | e10 != op1(e13,e13)
    | ~ sP12 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f257,plain,
    ( e10 != op1(e10,e11)
    | op1(e10,e10) != e11
    | ~ sP9 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f261,plain,
    ( e10 != op1(e10,e11)
    | op1(e10,e10) != e11
    | ~ sP8 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f265,plain,
    ( e10 != op1(e10,e11)
    | op1(e10,e10) != e11
    | ~ sP7 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f269,plain,
    ( e10 != op1(e10,e11)
    | op1(e10,e10) != e11
    | ~ sP6 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f275,plain,
    ( e12 != op1(e12,e12)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f283,plain,
    ( e12 != op1(e12,e12)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f296,plain,
    ( e13 != op1(e13,e13)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f299,plain,
    ( e12 = op1(e10,e12)
    | ~ sP11 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f300,plain,
    ( e13 = op1(e10,e13)
    | ~ sP10 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f305,plain,
    ( e10 = op1(e12,e10)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f306,plain,
    ( e11 = op1(e12,e11)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f307,plain,
    ( e12 = op1(e12,e12)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f308,plain,
    ( e13 = op1(e12,e13)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f309,plain,
    ( e10 = op1(e13,e10)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f310,plain,
    ( e11 = op1(e13,e11)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f326,plain,
    ( e13 != op1(e13,e13)
    | sP0
    | sP1
    | sP2
    | sP3
    | sP4
    | sP5
    | sP6
    | sP7
    | sP8
    | sP9
    | sP10
    | sP11
    | sP12
    | sP13 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f334,plain,
    ( e13 = op1(e13,e13)
    | e12 = op1(e13,e12)
    | sP0
    | sP1
    | sP2
    | sP3
    | sP4
    | sP5
    | sP6
    | sP7
    | sP8
    | sP9
    | sP10
    | sP11
    | sP12
    | sP13 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f335,plain,
    ( e13 = op1(e13,e13)
    | e12 = op1(e12,e12)
    | e11 = op1(e11,e11)
    | e10 = op1(e10,e10) ),
    inference(cnf_transformation,[],[f10]) ).

fof(f337,plain,
    ( e10 = op1(e10,e12)
    | op1(e10,e10) != e12 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f338,plain,
    ( e10 = op1(e10,e13)
    | op1(e10,e10) != e13 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f340,plain,
    ( e11 = op1(e11,e12)
    | e12 != op1(e11,e11) ),
    inference(cnf_transformation,[],[f10]) ).

fof(f341,plain,
    ( e11 = op1(e11,e13)
    | e13 != op1(e11,e11) ),
    inference(cnf_transformation,[],[f10]) ).

fof(f342,plain,
    ( e12 = op1(e12,e10)
    | e10 != op1(e12,e12) ),
    inference(cnf_transformation,[],[f10]) ).

fof(f344,plain,
    ( e12 = op1(e12,e13)
    | e13 != op1(e12,e12) ),
    inference(cnf_transformation,[],[f10]) ).

fof(f345,plain,
    ( e13 = op1(e13,e10)
    | e10 != op1(e13,e13) ),
    inference(cnf_transformation,[],[f10]) ).

fof(f351,plain,
    ( e23 != op2(e23,e20)
    | e20 != op2(e23,e23)
    | ~ sP27 ),
    inference(cnf_transformation,[],[f11]) ).

fof(f355,plain,
    ( e23 != op2(e23,e20)
    | e20 != op2(e23,e23)
    | ~ sP26 ),
    inference(cnf_transformation,[],[f11]) ).

fof(f359,plain,
    ( e23 != op2(e23,e20)
    | e20 != op2(e23,e23)
    | ~ sP25 ),
    inference(cnf_transformation,[],[f11]) ).

fof(f364,plain,
    ( e20 != op2(e20,e21)
    | op2(e20,e20) != e21
    | ~ sP23 ),
    inference(cnf_transformation,[],[f11]) ).

fof(f365,plain,
    ( e21 != op2(e21,e21)
    | ~ sP23 ),
    inference(cnf_transformation,[],[f11]) ).

fof(f369,plain,
    ( e21 != op2(e21,e21)
    | ~ sP22 ),
    inference(cnf_transformation,[],[f11]) ).

fof(f372,plain,
    ( e20 != op2(e20,e21)
    | op2(e20,e20) != e21
    | ~ sP21 ),
    inference(cnf_transformation,[],[f11]) ).

fof(f373,plain,
    ( e21 != op2(e21,e21)
    | ~ sP21 ),
    inference(cnf_transformation,[],[f11]) ).

fof(f376,plain,
    ( e20 != op2(e20,e21)
    | op2(e20,e20) != e21
    | ~ sP20 ),
    inference(cnf_transformation,[],[f11]) ).

fof(f377,plain,
    ( e21 != op2(e21,e21)
    | ~ sP20 ),
    inference(cnf_transformation,[],[f11]) ).

fof(f382,plain,
    ( e22 != op2(e22,e22)
    | ~ sP19 ),
    inference(cnf_transformation,[],[f11]) ).

fof(f386,plain,
    ( e22 != op2(e22,e22)
    | ~ sP18 ),
    inference(cnf_transformation,[],[f11]) ).

fof(f390,plain,
    ( e22 != op2(e22,e22)
    | ~ sP17 ),
    inference(cnf_transformation,[],[f11]) ).

fof(f394,plain,
    ( e22 != op2(e22,e22)
    | ~ sP16 ),
    inference(cnf_transformation,[],[f11]) ).

fof(f401,plain,
    ( e21 != op2(e21,e23)
    | e23 != op2(e21,e21)
    | ~ sP14 ),
    inference(cnf_transformation,[],[f11]) ).

fof(f407,plain,
    ( e23 = op2(e20,e23)
    | ~ sP24 ),
    inference(cnf_transformation,[],[f11]) ).

fof(f408,plain,
    ( e20 = op2(e21,e20)
    | ~ sP23 ),
    inference(cnf_transformation,[],[f11]) ).

fof(f409,plain,
    ( e21 = op2(e21,e21)
    | ~ sP22 ),
    inference(cnf_transformation,[],[f11]) ).

fof(f410,plain,
    ( e22 = op2(e21,e22)
    | ~ sP21 ),
    inference(cnf_transformation,[],[f11]) ).

fof(f411,plain,
    ( e23 = op2(e21,e23)
    | ~ sP20 ),
    inference(cnf_transformation,[],[f11]) ).

fof(f412,plain,
    ( e20 = op2(e22,e20)
    | ~ sP19 ),
    inference(cnf_transformation,[],[f11]) ).

fof(f413,plain,
    ( e21 = op2(e22,e21)
    | ~ sP18 ),
    inference(cnf_transformation,[],[f11]) ).

fof(f414,plain,
    ( e22 = op2(e22,e22)
    | ~ sP17 ),
    inference(cnf_transformation,[],[f11]) ).

fof(f415,plain,
    ( e23 = op2(e22,e23)
    | ~ sP16 ),
    inference(cnf_transformation,[],[f11]) ).

fof(f416,plain,
    ( e20 = op2(e23,e20)
    | ~ sP15 ),
    inference(cnf_transformation,[],[f11]) ).

fof(f417,plain,
    ( e21 = op2(e23,e21)
    | ~ sP14 ),
    inference(cnf_transformation,[],[f11]) ).

fof(f426,plain,
    ( e21 != op2(e21,e23)
    | e23 != op2(e21,e21)
    | sP14
    | sP15
    | sP16
    | sP17
    | sP18
    | sP19
    | sP20
    | sP21
    | sP22
    | sP23
    | sP24
    | sP25
    | sP26
    | sP27 ),
    inference(cnf_transformation,[],[f11]) ).

fof(f441,plain,
    ( e23 = op2(e23,e23)
    | e22 = op2(e23,e22)
    | sP14
    | sP15
    | sP16
    | sP17
    | sP18
    | sP19
    | sP20
    | sP21
    | sP22
    | sP23
    | sP24
    | sP25
    | sP26
    | sP27 ),
    inference(cnf_transformation,[],[f11]) ).

fof(f442,plain,
    ( e23 = op2(e23,e23)
    | e22 = op2(e22,e22)
    | e21 = op2(e21,e21)
    | e20 = op2(e20,e20) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f443,plain,
    ( e20 = op2(e20,e21)
    | op2(e20,e20) != e21 ),
    inference(cnf_transformation,[],[f11]) ).

fof(f444,plain,
    ( e20 = op2(e20,e22)
    | op2(e20,e20) != e22 ),
    inference(cnf_transformation,[],[f11]) ).

fof(f445,plain,
    ( e20 = op2(e20,e23)
    | op2(e20,e20) != e23 ),
    inference(cnf_transformation,[],[f11]) ).

fof(f446,plain,
    ( e21 = op2(e21,e20)
    | e20 != op2(e21,e21) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f447,plain,
    ( e21 = op2(e21,e22)
    | e22 != op2(e21,e21) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f448,plain,
    ( e21 = op2(e21,e23)
    | e23 != op2(e21,e21) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f449,plain,
    ( e22 = op2(e22,e20)
    | e20 != op2(e22,e22) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f450,plain,
    ( e22 = op2(e22,e21)
    | e21 != op2(e22,e22) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f451,plain,
    ( e22 = op2(e22,e23)
    | e23 != op2(e22,e22) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f452,plain,
    ( e23 = op2(e23,e20)
    | e20 != op2(e23,e23) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f453,plain,
    ( e23 = op2(e23,e21)
    | e21 != op2(e23,e23) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f454,plain,
    ( e23 = op2(e23,e22)
    | e22 != op2(e23,e23) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f455,plain,
    e12 = op1(op1(e13,e13),e13),
    inference(cnf_transformation,[],[f12]) ).

fof(f456,plain,
    e11 = op1(op1(op1(e13,e13),e13),e13),
    inference(cnf_transformation,[],[f12]) ).

fof(f457,plain,
    e10 = op1(e13,e13),
    inference(cnf_transformation,[],[f12]) ).

fof(f458,plain,
    e22 = op2(op2(e23,e23),e23),
    inference(cnf_transformation,[],[f13]) ).

fof(f460,plain,
    e20 = op2(e23,e23),
    inference(cnf_transformation,[],[f13]) ).

fof(f464,plain,
    e20 = h1(e13),
    inference(cnf_transformation,[],[f14]) ).

fof(f469,plain,
    op2(op2(e22,e22),e22) = h3(e12),
    inference(cnf_transformation,[],[f16]) ).

fof(f470,plain,
    h3(e11) = op2(op2(op2(e22,e22),e22),e22),
    inference(cnf_transformation,[],[f16]) ).

fof(f471,plain,
    op2(e22,e22) = h3(e10),
    inference(cnf_transformation,[],[f16]) ).

fof(f472,plain,
    e22 = h3(e13),
    inference(cnf_transformation,[],[f16]) ).

fof(f476,plain,
    e23 = h4(e13),
    inference(cnf_transformation,[],[f17]) ).

fof(f496,plain,
    ( e20 != h3(e10)
    | ~ sP31 ),
    inference(cnf_transformation,[],[f20]) ).

fof(f499,plain,
    ( e21 != h3(e11)
    | ~ sP30 ),
    inference(cnf_transformation,[],[f20]) ).

fof(f549,plain,
    ( e23 != h3(e12)
    | e22 != h3(e13)
    | sP30
    | sP31
    | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
    | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
    | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
    | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
    | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
    | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
    | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
    | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
    | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
    | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
    | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
    | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
    | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
    | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
    | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
    | h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f573,plain,
    ( e13 = op1(e13,e13)
    | e12 = op1(e13,e12)
    | sP0
    | ~ sP1
    | ~ sP2
    | ~ sP3
    | ~ sP4
    | sP5
    | ~ sP6
    | ~ sP7
    | sP8
    | sP9
    | sP10
    | ~ sP11
    | sP12
    | ~ sP13 ),
    inference(consistent_polarity_flipping,[],[f334]) ).

fof(f581,plain,
    ( e13 != op1(e13,e13)
    | sP0
    | ~ sP1
    | ~ sP2
    | ~ sP3
    | ~ sP4
    | sP5
    | ~ sP6
    | ~ sP7
    | sP8
    | sP9
    | sP10
    | ~ sP11
    | sP12
    | ~ sP13 ),
    inference(consistent_polarity_flipping,[],[f326]) ).

fof(f597,plain,
    ( e10 = op1(e13,e10)
    | sP1 ),
    inference(consistent_polarity_flipping,[],[f309]) ).

fof(f598,plain,
    ( e13 = op1(e12,e13)
    | sP2 ),
    inference(consistent_polarity_flipping,[],[f308]) ).

fof(f599,plain,
    ( e12 = op1(e12,e12)
    | sP3 ),
    inference(consistent_polarity_flipping,[],[f307]) ).

fof(f600,plain,
    ( e11 = op1(e12,e11)
    | sP4 ),
    inference(consistent_polarity_flipping,[],[f306]) ).

fof(f603,plain,
    ( e12 = op1(e10,e12)
    | sP11 ),
    inference(consistent_polarity_flipping,[],[f299]) ).

fof(f614,plain,
    ( e12 != op1(e12,e12)
    | sP3 ),
    inference(consistent_polarity_flipping,[],[f283]) ).

fof(f624,plain,
    ( e10 != op1(e10,e11)
    | op1(e10,e10) != e11
    | sP6 ),
    inference(consistent_polarity_flipping,[],[f269]) ).

fof(f628,plain,
    ( e10 != op1(e10,e11)
    | op1(e10,e10) != e11
    | sP7 ),
    inference(consistent_polarity_flipping,[],[f265]) ).

fof(f633,plain,
    ( e13 != op1(e13,e10)
    | e10 != op1(e13,e13)
    | sP13 ),
    inference(consistent_polarity_flipping,[],[f244]) ).

fof(f637,plain,
    ( e23 = op2(e23,e23)
    | e22 = op2(e23,e22)
    | sP14
    | sP15
    | ~ sP16
    | sP17
    | sP18
    | ~ sP19
    | ~ sP20
    | ~ sP21
    | ~ sP22
    | ~ sP23
    | ~ sP24
    | ~ sP25
    | ~ sP26
    | sP27 ),
    inference(consistent_polarity_flipping,[],[f441]) ).

fof(f652,plain,
    ( e21 != op2(e21,e23)
    | e23 != op2(e21,e21)
    | sP14
    | sP15
    | ~ sP16
    | sP17
    | sP18
    | ~ sP19
    | ~ sP20
    | ~ sP21
    | ~ sP22
    | ~ sP23
    | ~ sP24
    | ~ sP25
    | ~ sP26
    | sP27 ),
    inference(consistent_polarity_flipping,[],[f426]) ).

fof(f661,plain,
    ( e23 = op2(e22,e23)
    | sP16 ),
    inference(consistent_polarity_flipping,[],[f415]) ).

fof(f662,plain,
    ( e20 = op2(e22,e20)
    | sP19 ),
    inference(consistent_polarity_flipping,[],[f412]) ).

fof(f663,plain,
    ( e23 = op2(e21,e23)
    | sP20 ),
    inference(consistent_polarity_flipping,[],[f411]) ).

fof(f664,plain,
    ( e22 = op2(e21,e22)
    | sP21 ),
    inference(consistent_polarity_flipping,[],[f410]) ).

fof(f665,plain,
    ( e21 = op2(e21,e21)
    | sP22 ),
    inference(consistent_polarity_flipping,[],[f409]) ).

fof(f666,plain,
    ( e20 = op2(e21,e20)
    | sP23 ),
    inference(consistent_polarity_flipping,[],[f408]) ).

fof(f667,plain,
    ( e23 = op2(e20,e23)
    | sP24 ),
    inference(consistent_polarity_flipping,[],[f407]) ).

fof(f671,plain,
    ( e22 != op2(e22,e22)
    | sP16 ),
    inference(consistent_polarity_flipping,[],[f394]) ).

fof(f675,plain,
    ( e22 != op2(e22,e22)
    | sP19 ),
    inference(consistent_polarity_flipping,[],[f382]) ).

fof(f680,plain,
    ( e21 != op2(e21,e21)
    | sP20 ),
    inference(consistent_polarity_flipping,[],[f377]) ).

fof(f681,plain,
    ( e20 != op2(e20,e21)
    | op2(e20,e20) != e21
    | sP20 ),
    inference(consistent_polarity_flipping,[],[f376]) ).

fof(f684,plain,
    ( e21 != op2(e21,e21)
    | sP21 ),
    inference(consistent_polarity_flipping,[],[f373]) ).

fof(f685,plain,
    ( e20 != op2(e20,e21)
    | op2(e20,e20) != e21
    | sP21 ),
    inference(consistent_polarity_flipping,[],[f372]) ).

fof(f688,plain,
    ( e21 != op2(e21,e21)
    | sP22 ),
    inference(consistent_polarity_flipping,[],[f369]) ).

fof(f692,plain,
    ( e21 != op2(e21,e21)
    | sP23 ),
    inference(consistent_polarity_flipping,[],[f365]) ).

fof(f693,plain,
    ( e20 != op2(e20,e21)
    | op2(e20,e20) != e21
    | sP23 ),
    inference(consistent_polarity_flipping,[],[f364]) ).

fof(f698,plain,
    ( e23 != op2(e23,e20)
    | e20 != op2(e23,e23)
    | sP25 ),
    inference(consistent_polarity_flipping,[],[f359]) ).

fof(f702,plain,
    ( e23 != op2(e23,e20)
    | e20 != op2(e23,e23)
    | sP26 ),
    inference(consistent_polarity_flipping,[],[f355]) ).

fof(f729,plain,
    ( e23 != h3(e12)
    | e22 != h3(e13)
    | sP30
    | ~ sP31
    | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
    | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
    | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
    | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
    | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
    | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
    | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
    | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
    | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
    | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
    | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
    | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
    | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
    | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
    | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
    | h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
    inference(consistent_polarity_flipping,[],[f549]) ).

fof(f774,plain,
    ( e20 != h3(e10)
    | sP31 ),
    inference(consistent_polarity_flipping,[],[f496]) ).

fof(f795,definition,
    ( spl36_2
  <=> e20 = h1(e13) ),
    introduced(definition,[new_symbols(definition,[spl36_2])],[avatar_definition]) ).

fof(f796,plain,
    ( e20 = h1(e13)
    | ~ spl36_2 ),
    inference(avatar_component_clause,[],[f795]) ).

fof(f819,definition,
    ( spl36_7
  <=> e21 = h1(e13) ),
    introduced(definition,[new_symbols(definition,[spl36_7])],[avatar_definition]) ).

fof(f820,plain,
    ( e21 = h1(e13)
    | ~ spl36_7 ),
    inference(avatar_component_clause,[],[f819]) ).

fof(f821,plain,
    ( e21 != h1(e13)
    | spl36_7 ),
    inference(avatar_component_clause,[],[f819]) ).

fof(f887,definition,
    ( spl36_21
  <=> sP31 ),
    introduced(definition,[new_symbols(definition,[spl36_21])],[avatar_definition]) ).

fof(f891,definition,
    ( spl36_22
  <=> e20 = h3(e13) ),
    introduced(definition,[new_symbols(definition,[spl36_22])],[avatar_definition]) ).

fof(f892,plain,
    ( e20 = h3(e13)
    | ~ spl36_22 ),
    inference(avatar_component_clause,[],[f891]) ).

fof(f893,plain,
    ( e20 != h3(e13)
    | spl36_22 ),
    inference(avatar_component_clause,[],[f891]) ).

fof(f906,definition,
    ( spl36_25
  <=> e20 = h3(e10) ),
    introduced(definition,[new_symbols(definition,[spl36_25])],[avatar_definition]) ).

fof(f907,plain,
    ( e20 = h3(e10)
    | ~ spl36_25 ),
    inference(avatar_component_clause,[],[f906]) ).

fof(f909,plain,
    ( spl36_21
    | ~ spl36_25 ),
    inference(avatar_split_clause,[],[f774,f906,f887]) ).

fof(f911,definition,
    ( spl36_26
  <=> sP30 ),
    introduced(definition,[new_symbols(definition,[spl36_26])],[avatar_definition]) ).

fof(f925,definition,
    ( spl36_29
  <=> e21 = h3(e11) ),
    introduced(definition,[new_symbols(definition,[spl36_29])],[avatar_definition]) ).

fof(f926,plain,
    ( e21 = h3(e11)
    | ~ spl36_29 ),
    inference(avatar_component_clause,[],[f925]) ).

fof(f928,plain,
    ( ~ spl36_26
    | ~ spl36_29 ),
    inference(avatar_split_clause,[],[f499,f925,f911]) ).

fof(f939,definition,
    ( spl36_32
  <=> e20 = h4(e13) ),
    introduced(definition,[new_symbols(definition,[spl36_32])],[avatar_definition]) ).

fof(f940,plain,
    ( e20 = h4(e13)
    | ~ spl36_32 ),
    inference(avatar_component_clause,[],[f939]) ).

fof(f941,plain,
    ( e20 != h4(e13)
    | spl36_32 ),
    inference(avatar_component_clause,[],[f939]) ).

fof(f1207,definition,
    ( spl36_89
  <=> h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
    introduced(definition,[new_symbols(definition,[spl36_89])],[avatar_definition]) ).

fof(f1209,plain,
    ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
    | spl36_89 ),
    inference(avatar_component_clause,[],[f1207]) ).

fof(f1211,definition,
    ( spl36_90
  <=> h3(op1(e10,e11)) = op2(h3(e10),h3(e11)) ),
    introduced(definition,[new_symbols(definition,[spl36_90])],[avatar_definition]) ).

fof(f1213,plain,
    ( h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
    | spl36_90 ),
    inference(avatar_component_clause,[],[f1211]) ).

fof(f1215,definition,
    ( spl36_91
  <=> h3(op1(e10,e12)) = op2(h3(e10),h3(e12)) ),
    introduced(definition,[new_symbols(definition,[spl36_91])],[avatar_definition]) ).

fof(f1217,plain,
    ( h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
    | spl36_91 ),
    inference(avatar_component_clause,[],[f1215]) ).

fof(f1219,definition,
    ( spl36_92
  <=> h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) ),
    introduced(definition,[new_symbols(definition,[spl36_92])],[avatar_definition]) ).

fof(f1221,plain,
    ( h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
    | spl36_92 ),
    inference(avatar_component_clause,[],[f1219]) ).

fof(f1223,definition,
    ( spl36_93
  <=> h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) ),
    introduced(definition,[new_symbols(definition,[spl36_93])],[avatar_definition]) ).

fof(f1225,plain,
    ( h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
    | spl36_93 ),
    inference(avatar_component_clause,[],[f1223]) ).

fof(f1227,definition,
    ( spl36_94
  <=> h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
    introduced(definition,[new_symbols(definition,[spl36_94])],[avatar_definition]) ).

fof(f1229,plain,
    ( h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
    | spl36_94 ),
    inference(avatar_component_clause,[],[f1227]) ).

fof(f1231,definition,
    ( spl36_95
  <=> h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) ),
    introduced(definition,[new_symbols(definition,[spl36_95])],[avatar_definition]) ).

fof(f1233,plain,
    ( h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
    | spl36_95 ),
    inference(avatar_component_clause,[],[f1231]) ).

fof(f1235,definition,
    ( spl36_96
  <=> h3(op1(e11,e13)) = op2(h3(e11),h3(e13)) ),
    introduced(definition,[new_symbols(definition,[spl36_96])],[avatar_definition]) ).

fof(f1237,plain,
    ( h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
    | spl36_96 ),
    inference(avatar_component_clause,[],[f1235]) ).

fof(f1239,definition,
    ( spl36_97
  <=> h3(op1(e12,e10)) = op2(h3(e12),h3(e10)) ),
    introduced(definition,[new_symbols(definition,[spl36_97])],[avatar_definition]) ).

fof(f1241,plain,
    ( h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
    | spl36_97 ),
    inference(avatar_component_clause,[],[f1239]) ).

fof(f1243,definition,
    ( spl36_98
  <=> h3(op1(e12,e11)) = op2(h3(e12),h3(e11)) ),
    introduced(definition,[new_symbols(definition,[spl36_98])],[avatar_definition]) ).

fof(f1245,plain,
    ( h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
    | spl36_98 ),
    inference(avatar_component_clause,[],[f1243]) ).

fof(f1247,definition,
    ( spl36_99
  <=> h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
    introduced(definition,[new_symbols(definition,[spl36_99])],[avatar_definition]) ).

fof(f1249,plain,
    ( h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
    | spl36_99 ),
    inference(avatar_component_clause,[],[f1247]) ).

fof(f1251,definition,
    ( spl36_100
  <=> h3(op1(e12,e13)) = op2(h3(e12),h3(e13)) ),
    introduced(definition,[new_symbols(definition,[spl36_100])],[avatar_definition]) ).

fof(f1253,plain,
    ( h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
    | spl36_100 ),
    inference(avatar_component_clause,[],[f1251]) ).

fof(f1255,definition,
    ( spl36_101
  <=> h3(op1(e13,e10)) = op2(h3(e13),h3(e10)) ),
    introduced(definition,[new_symbols(definition,[spl36_101])],[avatar_definition]) ).

fof(f1257,plain,
    ( h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
    | spl36_101 ),
    inference(avatar_component_clause,[],[f1255]) ).

fof(f1259,definition,
    ( spl36_102
  <=> h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) ),
    introduced(definition,[new_symbols(definition,[spl36_102])],[avatar_definition]) ).

fof(f1261,plain,
    ( h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
    | spl36_102 ),
    inference(avatar_component_clause,[],[f1259]) ).

fof(f1263,definition,
    ( spl36_103
  <=> h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) ),
    introduced(definition,[new_symbols(definition,[spl36_103])],[avatar_definition]) ).

fof(f1265,plain,
    ( h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
    | spl36_103 ),
    inference(avatar_component_clause,[],[f1263]) ).

fof(f1267,definition,
    ( spl36_104
  <=> h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
    introduced(definition,[new_symbols(definition,[spl36_104])],[avatar_definition]) ).

fof(f1269,plain,
    ( h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
    | spl36_104 ),
    inference(avatar_component_clause,[],[f1267]) ).

fof(f1271,definition,
    ( spl36_105
  <=> e22 = h3(e13) ),
    introduced(definition,[new_symbols(definition,[spl36_105])],[avatar_definition]) ).

fof(f1272,plain,
    ( e22 = h3(e13)
    | ~ spl36_105 ),
    inference(avatar_component_clause,[],[f1271]) ).

fof(f1303,definition,
    ( spl36_111
  <=> e23 = h3(e12) ),
    introduced(definition,[new_symbols(definition,[spl36_111])],[avatar_definition]) ).

fof(f1304,plain,
    ( e23 = h3(e12)
    | ~ spl36_111 ),
    inference(avatar_component_clause,[],[f1303]) ).

fof(f1306,plain,
    ( ~ spl36_89
    | ~ spl36_90
    | ~ spl36_91
    | ~ spl36_92
    | ~ spl36_93
    | ~ spl36_94
    | ~ spl36_95
    | ~ spl36_96
    | ~ spl36_97
    | ~ spl36_98
    | ~ spl36_99
    | ~ spl36_100
    | ~ spl36_101
    | ~ spl36_102
    | ~ spl36_103
    | ~ spl36_104
    | ~ spl36_21
    | spl36_26
    | ~ spl36_105
    | ~ spl36_111 ),
    inference(avatar_split_clause,[],[f729,f1303,f1271,f911,f887,f1267,f1263,f1259,f1255,f1251,f1247,f1243,f1239,f1235,f1231,f1227,f1223,f1219,f1215,f1211,f1207]) ).

fof(f1423,definition,
    ( spl36_136
  <=> e23 = h4(e13) ),
    introduced(definition,[new_symbols(definition,[spl36_136])],[avatar_definition]) ).

fof(f1424,plain,
    ( e23 = h4(e13)
    | ~ spl36_136 ),
    inference(avatar_component_clause,[],[f1423]) ).

fof(f1430,plain,
    spl36_136,
    inference(avatar_split_clause,[],[f476,f1423]) ).

fof(f1431,plain,
    spl36_105,
    inference(avatar_split_clause,[],[f472,f1271]) ).

fof(f1433,plain,
    spl36_2,
    inference(avatar_split_clause,[],[f464,f795]) ).

fof(f1435,definition,
    ( spl36_137
  <=> sP27 ),
    introduced(definition,[new_symbols(definition,[spl36_137])],[avatar_definition]) ).

fof(f1439,definition,
    ( spl36_138
  <=> e20 = op2(e20,e20) ),
    introduced(definition,[new_symbols(definition,[spl36_138])],[avatar_definition]) ).

fof(f1440,plain,
    ( e20 = op2(e20,e20)
    | ~ spl36_138 ),
    inference(avatar_component_clause,[],[f1439]) ).

fof(f1444,definition,
    ( spl36_139
  <=> e20 = op2(e21,e21) ),
    introduced(definition,[new_symbols(definition,[spl36_139])],[avatar_definition]) ).

fof(f1445,plain,
    ( e20 = op2(e21,e21)
    | ~ spl36_139 ),
    inference(avatar_component_clause,[],[f1444]) ).

fof(f1448,definition,
    ( spl36_140
  <=> e21 = op2(e21,e20) ),
    introduced(definition,[new_symbols(definition,[spl36_140])],[avatar_definition]) ).

fof(f1449,plain,
    ( e21 = op2(e21,e20)
    | ~ spl36_140 ),
    inference(avatar_component_clause,[],[f1448]) ).

fof(f1453,definition,
    ( spl36_141
  <=> e20 = op2(e22,e22) ),
    introduced(definition,[new_symbols(definition,[spl36_141])],[avatar_definition]) ).

fof(f1454,plain,
    ( e20 = op2(e22,e22)
    | ~ spl36_141 ),
    inference(avatar_component_clause,[],[f1453]) ).

fof(f1457,definition,
    ( spl36_142
  <=> e22 = op2(e22,e20) ),
    introduced(definition,[new_symbols(definition,[spl36_142])],[avatar_definition]) ).

fof(f1458,plain,
    ( e22 = op2(e22,e20)
    | ~ spl36_142 ),
    inference(avatar_component_clause,[],[f1457]) ).

fof(f1462,definition,
    ( spl36_143
  <=> e20 = op2(e23,e23) ),
    introduced(definition,[new_symbols(definition,[spl36_143])],[avatar_definition]) ).

fof(f1463,plain,
    ( e20 = op2(e23,e23)
    | ~ spl36_143 ),
    inference(avatar_component_clause,[],[f1462]) ).

fof(f1466,definition,
    ( spl36_144
  <=> e23 = op2(e23,e20) ),
    introduced(definition,[new_symbols(definition,[spl36_144])],[avatar_definition]) ).

fof(f1467,plain,
    ( e23 = op2(e23,e20)
    | ~ spl36_144 ),
    inference(avatar_component_clause,[],[f1466]) ).

fof(f1469,plain,
    ( ~ spl36_137
    | ~ spl36_143
    | ~ spl36_144 ),
    inference(avatar_split_clause,[],[f351,f1466,f1462,f1435]) ).

fof(f1471,definition,
    ( spl36_145
  <=> sP26 ),
    introduced(definition,[new_symbols(definition,[spl36_145])],[avatar_definition]) ).

fof(f1477,plain,
    ( spl36_145
    | ~ spl36_143
    | ~ spl36_144 ),
    inference(avatar_split_clause,[],[f702,f1466,f1462,f1471]) ).

fof(f1479,definition,
    ( spl36_146
  <=> sP25 ),
    introduced(definition,[new_symbols(definition,[spl36_146])],[avatar_definition]) ).

fof(f1485,plain,
    ( spl36_146
    | ~ spl36_143
    | ~ spl36_144 ),
    inference(avatar_split_clause,[],[f698,f1466,f1462,f1479]) ).

fof(f1487,definition,
    ( spl36_147
  <=> sP24 ),
    introduced(definition,[new_symbols(definition,[spl36_147])],[avatar_definition]) ).

fof(f1495,definition,
    ( spl36_148
  <=> sP23 ),
    introduced(definition,[new_symbols(definition,[spl36_148])],[avatar_definition]) ).

fof(f1499,definition,
    ( spl36_149
  <=> op2(e20,e20) = e21 ),
    introduced(definition,[new_symbols(definition,[spl36_149])],[avatar_definition]) ).

fof(f1503,definition,
    ( spl36_150
  <=> e20 = op2(e20,e21) ),
    introduced(definition,[new_symbols(definition,[spl36_150])],[avatar_definition]) ).

fof(f1504,plain,
    ( e20 = op2(e20,e21)
    | ~ spl36_150 ),
    inference(avatar_component_clause,[],[f1503]) ).

fof(f1506,plain,
    ( spl36_148
    | ~ spl36_149
    | ~ spl36_150 ),
    inference(avatar_split_clause,[],[f693,f1503,f1499,f1495]) ).

fof(f1508,definition,
    ( spl36_151
  <=> e21 = op2(e21,e21) ),
    introduced(definition,[new_symbols(definition,[spl36_151])],[avatar_definition]) ).

fof(f1509,plain,
    ( e21 = op2(e21,e21)
    | ~ spl36_151 ),
    inference(avatar_component_clause,[],[f1508]) ).

fof(f1511,plain,
    ( spl36_148
    | ~ spl36_151 ),
    inference(avatar_split_clause,[],[f692,f1508,f1495]) ).

fof(f1513,definition,
    ( spl36_152
  <=> e21 = op2(e22,e22) ),
    introduced(definition,[new_symbols(definition,[spl36_152])],[avatar_definition]) ).

fof(f1517,definition,
    ( spl36_153
  <=> e22 = op2(e22,e21) ),
    introduced(definition,[new_symbols(definition,[spl36_153])],[avatar_definition]) ).

fof(f1518,plain,
    ( e22 = op2(e22,e21)
    | ~ spl36_153 ),
    inference(avatar_component_clause,[],[f1517]) ).

fof(f1522,definition,
    ( spl36_154
  <=> e21 = op2(e23,e23) ),
    introduced(definition,[new_symbols(definition,[spl36_154])],[avatar_definition]) ).

fof(f1526,definition,
    ( spl36_155
  <=> e23 = op2(e23,e21) ),
    introduced(definition,[new_symbols(definition,[spl36_155])],[avatar_definition]) ).

fof(f1528,plain,
    ( e23 != op2(e23,e21)
    | spl36_155 ),
    inference(avatar_component_clause,[],[f1526]) ).

fof(f1531,definition,
    ( spl36_156
  <=> sP22 ),
    introduced(definition,[new_symbols(definition,[spl36_156])],[avatar_definition]) ).

fof(f1535,plain,
    ( spl36_156
    | ~ spl36_151 ),
    inference(avatar_split_clause,[],[f688,f1508,f1531]) ).

fof(f1539,definition,
    ( spl36_157
  <=> sP21 ),
    introduced(definition,[new_symbols(definition,[spl36_157])],[avatar_definition]) ).

fof(f1542,plain,
    ( spl36_157
    | ~ spl36_149
    | ~ spl36_150 ),
    inference(avatar_split_clause,[],[f685,f1503,f1499,f1539]) ).

fof(f1543,plain,
    ( spl36_157
    | ~ spl36_151 ),
    inference(avatar_split_clause,[],[f684,f1508,f1539]) ).

fof(f1547,definition,
    ( spl36_158
  <=> sP20 ),
    introduced(definition,[new_symbols(definition,[spl36_158])],[avatar_definition]) ).

fof(f1550,plain,
    ( spl36_158
    | ~ spl36_149
    | ~ spl36_150 ),
    inference(avatar_split_clause,[],[f681,f1503,f1499,f1547]) ).

fof(f1551,plain,
    ( spl36_158
    | ~ spl36_151 ),
    inference(avatar_split_clause,[],[f680,f1508,f1547]) ).

fof(f1555,definition,
    ( spl36_159
  <=> sP19 ),
    introduced(definition,[new_symbols(definition,[spl36_159])],[avatar_definition]) ).

fof(f1559,definition,
    ( spl36_160
  <=> op2(e20,e20) = e22 ),
    introduced(definition,[new_symbols(definition,[spl36_160])],[avatar_definition]) ).

fof(f1560,plain,
    ( op2(e20,e20) = e22
    | ~ spl36_160 ),
    inference(avatar_component_clause,[],[f1559]) ).

fof(f1563,definition,
    ( spl36_161
  <=> e20 = op2(e20,e22) ),
    introduced(definition,[new_symbols(definition,[spl36_161])],[avatar_definition]) ).

fof(f1564,plain,
    ( e20 = op2(e20,e22)
    | ~ spl36_161 ),
    inference(avatar_component_clause,[],[f1563]) ).

fof(f1568,definition,
    ( spl36_162
  <=> e22 = op2(e21,e21) ),
    introduced(definition,[new_symbols(definition,[spl36_162])],[avatar_definition]) ).

fof(f1569,plain,
    ( e22 = op2(e21,e21)
    | ~ spl36_162 ),
    inference(avatar_component_clause,[],[f1568]) ).

fof(f1572,definition,
    ( spl36_163
  <=> e21 = op2(e21,e22) ),
    introduced(definition,[new_symbols(definition,[spl36_163])],[avatar_definition]) ).

fof(f1573,plain,
    ( e21 = op2(e21,e22)
    | ~ spl36_163 ),
    inference(avatar_component_clause,[],[f1572]) ).

fof(f1577,definition,
    ( spl36_164
  <=> e22 = op2(e22,e22) ),
    introduced(definition,[new_symbols(definition,[spl36_164])],[avatar_definition]) ).

fof(f1578,plain,
    ( e22 = op2(e22,e22)
    | ~ spl36_164 ),
    inference(avatar_component_clause,[],[f1577]) ).

fof(f1580,plain,
    ( spl36_159
    | ~ spl36_164 ),
    inference(avatar_split_clause,[],[f675,f1577,f1555]) ).

fof(f1582,definition,
    ( spl36_165
  <=> e22 = op2(e23,e23) ),
    introduced(definition,[new_symbols(definition,[spl36_165])],[avatar_definition]) ).

fof(f1586,definition,
    ( spl36_166
  <=> e23 = op2(e23,e22) ),
    introduced(definition,[new_symbols(definition,[spl36_166])],[avatar_definition]) ).

fof(f1591,definition,
    ( spl36_167
  <=> sP18 ),
    introduced(definition,[new_symbols(definition,[spl36_167])],[avatar_definition]) ).

fof(f1596,plain,
    ( ~ spl36_167
    | ~ spl36_164 ),
    inference(avatar_split_clause,[],[f386,f1577,f1591]) ).

fof(f1599,definition,
    ( spl36_168
  <=> sP17 ),
    introduced(definition,[new_symbols(definition,[spl36_168])],[avatar_definition]) ).

fof(f1604,plain,
    ( ~ spl36_168
    | ~ spl36_164 ),
    inference(avatar_split_clause,[],[f390,f1577,f1599]) ).

fof(f1607,definition,
    ( spl36_169
  <=> sP16 ),
    introduced(definition,[new_symbols(definition,[spl36_169])],[avatar_definition]) ).

fof(f1612,plain,
    ( spl36_169
    | ~ spl36_164 ),
    inference(avatar_split_clause,[],[f671,f1577,f1607]) ).

fof(f1615,definition,
    ( spl36_170
  <=> sP15 ),
    introduced(definition,[new_symbols(definition,[spl36_170])],[avatar_definition]) ).

fof(f1619,definition,
    ( spl36_171
  <=> op2(e20,e20) = e23 ),
    introduced(definition,[new_symbols(definition,[spl36_171])],[avatar_definition]) ).

fof(f1623,definition,
    ( spl36_172
  <=> e20 = op2(e20,e23) ),
    introduced(definition,[new_symbols(definition,[spl36_172])],[avatar_definition]) ).

fof(f1624,plain,
    ( e20 = op2(e20,e23)
    | ~ spl36_172 ),
    inference(avatar_component_clause,[],[f1623]) ).

fof(f1628,definition,
    ( spl36_173
  <=> e23 = op2(e21,e21) ),
    introduced(definition,[new_symbols(definition,[spl36_173])],[avatar_definition]) ).

fof(f1629,plain,
    ( e23 = op2(e21,e21)
    | ~ spl36_173 ),
    inference(avatar_component_clause,[],[f1628]) ).

fof(f1632,definition,
    ( spl36_174
  <=> e21 = op2(e21,e23) ),
    introduced(definition,[new_symbols(definition,[spl36_174])],[avatar_definition]) ).

fof(f1633,plain,
    ( e21 = op2(e21,e23)
    | ~ spl36_174 ),
    inference(avatar_component_clause,[],[f1632]) ).

fof(f1637,definition,
    ( spl36_175
  <=> e23 = op2(e22,e22) ),
    introduced(definition,[new_symbols(definition,[spl36_175])],[avatar_definition]) ).

fof(f1641,definition,
    ( spl36_176
  <=> e22 = op2(e22,e23) ),
    introduced(definition,[new_symbols(definition,[spl36_176])],[avatar_definition]) ).

fof(f1642,plain,
    ( e22 = op2(e22,e23)
    | ~ spl36_176 ),
    inference(avatar_component_clause,[],[f1641]) ).

fof(f1646,definition,
    ( spl36_177
  <=> e23 = op2(e23,e23) ),
    introduced(definition,[new_symbols(definition,[spl36_177])],[avatar_definition]) ).

fof(f1647,plain,
    ( e23 = op2(e23,e23)
    | ~ spl36_177 ),
    inference(avatar_component_clause,[],[f1646]) ).

fof(f1651,definition,
    ( spl36_178
  <=> sP14 ),
    introduced(definition,[new_symbols(definition,[spl36_178])],[avatar_definition]) ).

fof(f1655,plain,
    ( ~ spl36_178
    | ~ spl36_173
    | ~ spl36_174 ),
    inference(avatar_split_clause,[],[f401,f1632,f1628,f1651]) ).

fof(f1660,definition,
    ( spl36_179
  <=> e21 = op2(e20,e21) ),
    introduced(definition,[new_symbols(definition,[spl36_179])],[avatar_definition]) ).

fof(f1662,plain,
    ( e21 = op2(e20,e21)
    | ~ spl36_179 ),
    inference(avatar_component_clause,[],[f1660]) ).

fof(f1670,definition,
    ( spl36_181
  <=> e23 = op2(e20,e23) ),
    introduced(definition,[new_symbols(definition,[spl36_181])],[avatar_definition]) ).

fof(f1672,plain,
    ( e23 = op2(e20,e23)
    | ~ spl36_181 ),
    inference(avatar_component_clause,[],[f1670]) ).

fof(f1673,plain,
    ( spl36_147
    | spl36_181 ),
    inference(avatar_split_clause,[],[f667,f1670,f1487]) ).

fof(f1675,definition,
    ( spl36_182
  <=> e20 = op2(e21,e20) ),
    introduced(definition,[new_symbols(definition,[spl36_182])],[avatar_definition]) ).

fof(f1677,plain,
    ( e20 = op2(e21,e20)
    | ~ spl36_182 ),
    inference(avatar_component_clause,[],[f1675]) ).

fof(f1678,plain,
    ( spl36_148
    | spl36_182 ),
    inference(avatar_split_clause,[],[f666,f1675,f1495]) ).

fof(f1679,plain,
    ( spl36_156
    | spl36_151 ),
    inference(avatar_split_clause,[],[f665,f1508,f1531]) ).

fof(f1681,definition,
    ( spl36_183
  <=> e22 = op2(e21,e22) ),
    introduced(definition,[new_symbols(definition,[spl36_183])],[avatar_definition]) ).

fof(f1683,plain,
    ( e22 = op2(e21,e22)
    | ~ spl36_183 ),
    inference(avatar_component_clause,[],[f1681]) ).

fof(f1684,plain,
    ( spl36_157
    | spl36_183 ),
    inference(avatar_split_clause,[],[f664,f1681,f1539]) ).

fof(f1686,definition,
    ( spl36_184
  <=> e23 = op2(e21,e23) ),
    introduced(definition,[new_symbols(definition,[spl36_184])],[avatar_definition]) ).

fof(f1688,plain,
    ( e23 = op2(e21,e23)
    | ~ spl36_184 ),
    inference(avatar_component_clause,[],[f1686]) ).

fof(f1689,plain,
    ( spl36_158
    | spl36_184 ),
    inference(avatar_split_clause,[],[f663,f1686,f1547]) ).

fof(f1691,definition,
    ( spl36_185
  <=> e20 = op2(e22,e20) ),
    introduced(definition,[new_symbols(definition,[spl36_185])],[avatar_definition]) ).

fof(f1693,plain,
    ( e20 = op2(e22,e20)
    | ~ spl36_185 ),
    inference(avatar_component_clause,[],[f1691]) ).

fof(f1694,plain,
    ( spl36_159
    | spl36_185 ),
    inference(avatar_split_clause,[],[f662,f1691,f1555]) ).

fof(f1696,definition,
    ( spl36_186
  <=> e21 = op2(e22,e21) ),
    introduced(definition,[new_symbols(definition,[spl36_186])],[avatar_definition]) ).

fof(f1698,plain,
    ( e21 = op2(e22,e21)
    | ~ spl36_186 ),
    inference(avatar_component_clause,[],[f1696]) ).

fof(f1699,plain,
    ( ~ spl36_167
    | spl36_186 ),
    inference(avatar_split_clause,[],[f413,f1696,f1591]) ).

fof(f1700,plain,
    ( ~ spl36_168
    | spl36_164 ),
    inference(avatar_split_clause,[],[f414,f1577,f1599]) ).

fof(f1702,definition,
    ( spl36_187
  <=> e23 = op2(e22,e23) ),
    introduced(definition,[new_symbols(definition,[spl36_187])],[avatar_definition]) ).

fof(f1704,plain,
    ( e23 = op2(e22,e23)
    | ~ spl36_187 ),
    inference(avatar_component_clause,[],[f1702]) ).

fof(f1705,plain,
    ( spl36_169
    | spl36_187 ),
    inference(avatar_split_clause,[],[f661,f1702,f1607]) ).

fof(f1707,definition,
    ( spl36_188
  <=> e20 = op2(e23,e20) ),
    introduced(definition,[new_symbols(definition,[spl36_188])],[avatar_definition]) ).

fof(f1709,plain,
    ( e20 = op2(e23,e20)
    | ~ spl36_188 ),
    inference(avatar_component_clause,[],[f1707]) ).

fof(f1710,plain,
    ( ~ spl36_170
    | spl36_188 ),
    inference(avatar_split_clause,[],[f416,f1707,f1615]) ).

fof(f1712,definition,
    ( spl36_189
  <=> e21 = op2(e23,e21) ),
    introduced(definition,[new_symbols(definition,[spl36_189])],[avatar_definition]) ).

fof(f1714,plain,
    ( e21 = op2(e23,e21)
    | ~ spl36_189 ),
    inference(avatar_component_clause,[],[f1712]) ).

fof(f1715,plain,
    ( ~ spl36_178
    | spl36_189 ),
    inference(avatar_split_clause,[],[f417,f1712,f1651]) ).

fof(f1724,plain,
    ( spl36_137
    | ~ spl36_145
    | ~ spl36_146
    | ~ spl36_147
    | ~ spl36_148
    | ~ spl36_156
    | ~ spl36_157
    | ~ spl36_158
    | ~ spl36_159
    | spl36_167
    | spl36_168
    | ~ spl36_169
    | spl36_170
    | spl36_178
    | ~ spl36_173
    | ~ spl36_174 ),
    inference(avatar_split_clause,[],[f652,f1632,f1628,f1651,f1615,f1607,f1599,f1591,f1555,f1547,f1539,f1531,f1495,f1487,f1479,f1471,f1435]) ).

fof(f1736,definition,
    ( spl36_190
  <=> e22 = op2(e23,e22) ),
    introduced(definition,[new_symbols(definition,[spl36_190])],[avatar_definition]) ).

fof(f1738,plain,
    ( e22 = op2(e23,e22)
    | ~ spl36_190 ),
    inference(avatar_component_clause,[],[f1736]) ).

fof(f1743,plain,
    ( spl36_137
    | ~ spl36_145
    | ~ spl36_146
    | ~ spl36_147
    | ~ spl36_148
    | ~ spl36_156
    | ~ spl36_157
    | ~ spl36_158
    | ~ spl36_159
    | spl36_167
    | spl36_168
    | ~ spl36_169
    | spl36_170
    | spl36_178
    | spl36_190
    | spl36_177 ),
    inference(avatar_split_clause,[],[f637,f1646,f1736,f1651,f1615,f1607,f1599,f1591,f1555,f1547,f1539,f1531,f1495,f1487,f1479,f1471,f1435]) ).

fof(f1744,plain,
    ( spl36_138
    | spl36_151
    | spl36_164
    | spl36_177 ),
    inference(avatar_split_clause,[],[f442,f1646,f1577,f1508,f1439]) ).

fof(f1745,plain,
    ( ~ spl36_149
    | spl36_150 ),
    inference(avatar_split_clause,[],[f443,f1503,f1499]) ).

fof(f1746,plain,
    ( ~ spl36_160
    | spl36_161 ),
    inference(avatar_split_clause,[],[f444,f1563,f1559]) ).

fof(f1747,plain,
    ( ~ spl36_171
    | spl36_172 ),
    inference(avatar_split_clause,[],[f445,f1623,f1619]) ).

fof(f1748,plain,
    ( ~ spl36_139
    | spl36_140 ),
    inference(avatar_split_clause,[],[f446,f1448,f1444]) ).

fof(f1749,plain,
    ( ~ spl36_162
    | spl36_163 ),
    inference(avatar_split_clause,[],[f447,f1572,f1568]) ).

fof(f1750,plain,
    ( ~ spl36_173
    | spl36_174 ),
    inference(avatar_split_clause,[],[f448,f1632,f1628]) ).

fof(f1751,plain,
    ( ~ spl36_141
    | spl36_142 ),
    inference(avatar_split_clause,[],[f449,f1457,f1453]) ).

fof(f1752,plain,
    ( ~ spl36_152
    | spl36_153 ),
    inference(avatar_split_clause,[],[f450,f1517,f1513]) ).

fof(f1753,plain,
    ( ~ spl36_175
    | spl36_176 ),
    inference(avatar_split_clause,[],[f451,f1641,f1637]) ).

fof(f1754,plain,
    ( ~ spl36_143
    | spl36_144 ),
    inference(avatar_split_clause,[],[f452,f1466,f1462]) ).

fof(f1755,plain,
    ( ~ spl36_154
    | spl36_155 ),
    inference(avatar_split_clause,[],[f453,f1526,f1522]) ).

fof(f1756,plain,
    ( ~ spl36_165
    | spl36_166 ),
    inference(avatar_split_clause,[],[f454,f1586,f1582]) ).

fof(f1758,definition,
    ( spl36_191
  <=> sP13 ),
    introduced(definition,[new_symbols(definition,[spl36_191])],[avatar_definition]) ).

fof(f1762,definition,
    ( spl36_192
  <=> e10 = op1(e10,e10) ),
    introduced(definition,[new_symbols(definition,[spl36_192])],[avatar_definition]) ).

fof(f1763,plain,
    ( e10 = op1(e10,e10)
    | ~ spl36_192 ),
    inference(avatar_component_clause,[],[f1762]) ).

fof(f1767,definition,
    ( spl36_193
  <=> e10 = op1(e11,e11) ),
    introduced(definition,[new_symbols(definition,[spl36_193])],[avatar_definition]) ).

fof(f1768,plain,
    ( e10 = op1(e11,e11)
    | ~ spl36_193 ),
    inference(avatar_component_clause,[],[f1767]) ).

fof(f1771,definition,
    ( spl36_194
  <=> e11 = op1(e11,e10) ),
    introduced(definition,[new_symbols(definition,[spl36_194])],[avatar_definition]) ).

fof(f1772,plain,
    ( e11 = op1(e11,e10)
    | ~ spl36_194 ),
    inference(avatar_component_clause,[],[f1771]) ).

fof(f1776,definition,
    ( spl36_195
  <=> e10 = op1(e12,e12) ),
    introduced(definition,[new_symbols(definition,[spl36_195])],[avatar_definition]) ).

fof(f1777,plain,
    ( e10 = op1(e12,e12)
    | ~ spl36_195 ),
    inference(avatar_component_clause,[],[f1776]) ).

fof(f1780,definition,
    ( spl36_196
  <=> e12 = op1(e12,e10) ),
    introduced(definition,[new_symbols(definition,[spl36_196])],[avatar_definition]) ).

fof(f1781,plain,
    ( e12 = op1(e12,e10)
    | ~ spl36_196 ),
    inference(avatar_component_clause,[],[f1780]) ).

fof(f1785,definition,
    ( spl36_197
  <=> e10 = op1(e13,e13) ),
    introduced(definition,[new_symbols(definition,[spl36_197])],[avatar_definition]) ).

fof(f1786,plain,
    ( e10 = op1(e13,e13)
    | ~ spl36_197 ),
    inference(avatar_component_clause,[],[f1785]) ).

fof(f1789,definition,
    ( spl36_198
  <=> e13 = op1(e13,e10) ),
    introduced(definition,[new_symbols(definition,[spl36_198])],[avatar_definition]) ).

fof(f1790,plain,
    ( e13 = op1(e13,e10)
    | ~ spl36_198 ),
    inference(avatar_component_clause,[],[f1789]) ).

fof(f1792,plain,
    ( spl36_191
    | ~ spl36_197
    | ~ spl36_198 ),
    inference(avatar_split_clause,[],[f633,f1789,f1785,f1758]) ).

fof(f1794,definition,
    ( spl36_199
  <=> sP12 ),
    introduced(definition,[new_symbols(definition,[spl36_199])],[avatar_definition]) ).

fof(f1800,plain,
    ( ~ spl36_199
    | ~ spl36_197
    | ~ spl36_198 ),
    inference(avatar_split_clause,[],[f248,f1789,f1785,f1794]) ).

fof(f1802,definition,
    ( spl36_200
  <=> sP11 ),
    introduced(definition,[new_symbols(definition,[spl36_200])],[avatar_definition]) ).

fof(f1810,definition,
    ( spl36_201
  <=> sP10 ),
    introduced(definition,[new_symbols(definition,[spl36_201])],[avatar_definition]) ).

fof(f1818,definition,
    ( spl36_202
  <=> sP9 ),
    introduced(definition,[new_symbols(definition,[spl36_202])],[avatar_definition]) ).

fof(f1822,definition,
    ( spl36_203
  <=> op1(e10,e10) = e11 ),
    introduced(definition,[new_symbols(definition,[spl36_203])],[avatar_definition]) ).

fof(f1823,plain,
    ( op1(e10,e10) = e11
    | ~ spl36_203 ),
    inference(avatar_component_clause,[],[f1822]) ).

fof(f1826,definition,
    ( spl36_204
  <=> e10 = op1(e10,e11) ),
    introduced(definition,[new_symbols(definition,[spl36_204])],[avatar_definition]) ).

fof(f1827,plain,
    ( e10 = op1(e10,e11)
    | ~ spl36_204 ),
    inference(avatar_component_clause,[],[f1826]) ).

fof(f1829,plain,
    ( ~ spl36_202
    | ~ spl36_203
    | ~ spl36_204 ),
    inference(avatar_split_clause,[],[f257,f1826,f1822,f1818]) ).

fof(f1831,definition,
    ( spl36_205
  <=> e11 = op1(e11,e11) ),
    introduced(definition,[new_symbols(definition,[spl36_205])],[avatar_definition]) ).

fof(f1832,plain,
    ( e11 = op1(e11,e11)
    | ~ spl36_205 ),
    inference(avatar_component_clause,[],[f1831]) ).

fof(f1836,definition,
    ( spl36_206
  <=> e11 = op1(e12,e12) ),
    introduced(definition,[new_symbols(definition,[spl36_206])],[avatar_definition]) ).

fof(f1840,definition,
    ( spl36_207
  <=> e12 = op1(e12,e11) ),
    introduced(definition,[new_symbols(definition,[spl36_207])],[avatar_definition]) ).

fof(f1841,plain,
    ( e12 = op1(e12,e11)
    | ~ spl36_207 ),
    inference(avatar_component_clause,[],[f1840]) ).

fof(f1845,definition,
    ( spl36_208
  <=> e11 = op1(e13,e13) ),
    introduced(definition,[new_symbols(definition,[spl36_208])],[avatar_definition]) ).

fof(f1846,plain,
    ( e11 = op1(e13,e13)
    | ~ spl36_208 ),
    inference(avatar_component_clause,[],[f1845]) ).

fof(f1854,definition,
    ( spl36_210
  <=> sP8 ),
    introduced(definition,[new_symbols(definition,[spl36_210])],[avatar_definition]) ).

fof(f1857,plain,
    ( ~ spl36_210
    | ~ spl36_203
    | ~ spl36_204 ),
    inference(avatar_split_clause,[],[f261,f1826,f1822,f1854]) ).

fof(f1862,definition,
    ( spl36_211
  <=> sP7 ),
    introduced(definition,[new_symbols(definition,[spl36_211])],[avatar_definition]) ).

fof(f1865,plain,
    ( spl36_211
    | ~ spl36_203
    | ~ spl36_204 ),
    inference(avatar_split_clause,[],[f628,f1826,f1822,f1862]) ).

fof(f1870,definition,
    ( spl36_212
  <=> sP6 ),
    introduced(definition,[new_symbols(definition,[spl36_212])],[avatar_definition]) ).

fof(f1873,plain,
    ( spl36_212
    | ~ spl36_203
    | ~ spl36_204 ),
    inference(avatar_split_clause,[],[f624,f1826,f1822,f1870]) ).

fof(f1878,definition,
    ( spl36_213
  <=> sP5 ),
    introduced(definition,[new_symbols(definition,[spl36_213])],[avatar_definition]) ).

fof(f1882,definition,
    ( spl36_214
  <=> op1(e10,e10) = e12 ),
    introduced(definition,[new_symbols(definition,[spl36_214])],[avatar_definition]) ).

fof(f1886,definition,
    ( spl36_215
  <=> e10 = op1(e10,e12) ),
    introduced(definition,[new_symbols(definition,[spl36_215])],[avatar_definition]) ).

fof(f1887,plain,
    ( e10 = op1(e10,e12)
    | ~ spl36_215 ),
    inference(avatar_component_clause,[],[f1886]) ).

fof(f1891,definition,
    ( spl36_216
  <=> e12 = op1(e11,e11) ),
    introduced(definition,[new_symbols(definition,[spl36_216])],[avatar_definition]) ).

fof(f1892,plain,
    ( e12 = op1(e11,e11)
    | ~ spl36_216 ),
    inference(avatar_component_clause,[],[f1891]) ).

fof(f1895,definition,
    ( spl36_217
  <=> e11 = op1(e11,e12) ),
    introduced(definition,[new_symbols(definition,[spl36_217])],[avatar_definition]) ).

fof(f1896,plain,
    ( e11 = op1(e11,e12)
    | ~ spl36_217 ),
    inference(avatar_component_clause,[],[f1895]) ).

fof(f1900,definition,
    ( spl36_218
  <=> e12 = op1(e12,e12) ),
    introduced(definition,[new_symbols(definition,[spl36_218])],[avatar_definition]) ).

fof(f1903,plain,
    ( ~ spl36_213
    | ~ spl36_218 ),
    inference(avatar_split_clause,[],[f275,f1900,f1878]) ).

fof(f1914,definition,
    ( spl36_221
  <=> sP4 ),
    introduced(definition,[new_symbols(definition,[spl36_221])],[avatar_definition]) ).

fof(f1922,definition,
    ( spl36_222
  <=> sP3 ),
    introduced(definition,[new_symbols(definition,[spl36_222])],[avatar_definition]) ).

fof(f1927,plain,
    ( spl36_222
    | ~ spl36_218 ),
    inference(avatar_split_clause,[],[f614,f1900,f1922]) ).

fof(f1930,definition,
    ( spl36_223
  <=> sP2 ),
    introduced(definition,[new_symbols(definition,[spl36_223])],[avatar_definition]) ).

fof(f1938,definition,
    ( spl36_224
  <=> sP1 ),
    introduced(definition,[new_symbols(definition,[spl36_224])],[avatar_definition]) ).

fof(f1942,definition,
    ( spl36_225
  <=> op1(e10,e10) = e13 ),
    introduced(definition,[new_symbols(definition,[spl36_225])],[avatar_definition]) ).

fof(f1946,definition,
    ( spl36_226
  <=> e10 = op1(e10,e13) ),
    introduced(definition,[new_symbols(definition,[spl36_226])],[avatar_definition]) ).

fof(f1947,plain,
    ( e10 = op1(e10,e13)
    | ~ spl36_226 ),
    inference(avatar_component_clause,[],[f1946]) ).

fof(f1951,definition,
    ( spl36_227
  <=> e13 = op1(e11,e11) ),
    introduced(definition,[new_symbols(definition,[spl36_227])],[avatar_definition]) ).

fof(f1955,definition,
    ( spl36_228
  <=> e11 = op1(e11,e13) ),
    introduced(definition,[new_symbols(definition,[spl36_228])],[avatar_definition]) ).

fof(f1960,definition,
    ( spl36_229
  <=> e13 = op1(e12,e12) ),
    introduced(definition,[new_symbols(definition,[spl36_229])],[avatar_definition]) ).

fof(f1964,definition,
    ( spl36_230
  <=> e12 = op1(e12,e13) ),
    introduced(definition,[new_symbols(definition,[spl36_230])],[avatar_definition]) ).

fof(f1965,plain,
    ( e12 = op1(e12,e13)
    | ~ spl36_230 ),
    inference(avatar_component_clause,[],[f1964]) ).

fof(f1969,definition,
    ( spl36_231
  <=> e13 = op1(e13,e13) ),
    introduced(definition,[new_symbols(definition,[spl36_231])],[avatar_definition]) ).

fof(f1974,definition,
    ( spl36_232
  <=> sP0 ),
    introduced(definition,[new_symbols(definition,[spl36_232])],[avatar_definition]) ).

fof(f1980,plain,
    ( ~ spl36_232
    | ~ spl36_231 ),
    inference(avatar_split_clause,[],[f296,f1969,f1974]) ).

fof(f1983,definition,
    ( spl36_233
  <=> e11 = op1(e10,e11) ),
    introduced(definition,[new_symbols(definition,[spl36_233])],[avatar_definition]) ).

fof(f1985,plain,
    ( e11 = op1(e10,e11)
    | ~ spl36_233 ),
    inference(avatar_component_clause,[],[f1983]) ).

fof(f1988,definition,
    ( spl36_234
  <=> e12 = op1(e10,e12) ),
    introduced(definition,[new_symbols(definition,[spl36_234])],[avatar_definition]) ).

fof(f1991,plain,
    ( spl36_200
    | spl36_234 ),
    inference(avatar_split_clause,[],[f603,f1988,f1802]) ).

fof(f1993,definition,
    ( spl36_235
  <=> e13 = op1(e10,e13) ),
    introduced(definition,[new_symbols(definition,[spl36_235])],[avatar_definition]) ).

fof(f1995,plain,
    ( e13 = op1(e10,e13)
    | ~ spl36_235 ),
    inference(avatar_component_clause,[],[f1993]) ).

fof(f1996,plain,
    ( ~ spl36_201
    | spl36_235 ),
    inference(avatar_split_clause,[],[f300,f1993,f1810]) ).

fof(f1998,definition,
    ( spl36_236
  <=> e10 = op1(e11,e10) ),
    introduced(definition,[new_symbols(definition,[spl36_236])],[avatar_definition]) ).

fof(f2000,plain,
    ( e10 = op1(e11,e10)
    | ~ spl36_236 ),
    inference(avatar_component_clause,[],[f1998]) ).

fof(f2004,definition,
    ( spl36_237
  <=> e12 = op1(e11,e12) ),
    introduced(definition,[new_symbols(definition,[spl36_237])],[avatar_definition]) ).

fof(f2006,plain,
    ( e12 = op1(e11,e12)
    | ~ spl36_237 ),
    inference(avatar_component_clause,[],[f2004]) ).

fof(f2009,definition,
    ( spl36_238
  <=> e13 = op1(e11,e13) ),
    introduced(definition,[new_symbols(definition,[spl36_238])],[avatar_definition]) ).

fof(f2011,plain,
    ( e13 = op1(e11,e13)
    | ~ spl36_238 ),
    inference(avatar_component_clause,[],[f2009]) ).

fof(f2014,definition,
    ( spl36_239
  <=> e10 = op1(e12,e10) ),
    introduced(definition,[new_symbols(definition,[spl36_239])],[avatar_definition]) ).

fof(f2016,plain,
    ( e10 = op1(e12,e10)
    | ~ spl36_239 ),
    inference(avatar_component_clause,[],[f2014]) ).

fof(f2017,plain,
    ( ~ spl36_213
    | spl36_239 ),
    inference(avatar_split_clause,[],[f305,f2014,f1878]) ).

fof(f2019,definition,
    ( spl36_240
  <=> e11 = op1(e12,e11) ),
    introduced(definition,[new_symbols(definition,[spl36_240])],[avatar_definition]) ).

fof(f2022,plain,
    ( spl36_221
    | spl36_240 ),
    inference(avatar_split_clause,[],[f600,f2019,f1914]) ).

fof(f2023,plain,
    ( spl36_222
    | spl36_218 ),
    inference(avatar_split_clause,[],[f599,f1900,f1922]) ).

fof(f2025,definition,
    ( spl36_241
  <=> e13 = op1(e12,e13) ),
    introduced(definition,[new_symbols(definition,[spl36_241])],[avatar_definition]) ).

fof(f2027,plain,
    ( e13 = op1(e12,e13)
    | ~ spl36_241 ),
    inference(avatar_component_clause,[],[f2025]) ).

fof(f2028,plain,
    ( spl36_223
    | spl36_241 ),
    inference(avatar_split_clause,[],[f598,f2025,f1930]) ).

fof(f2030,definition,
    ( spl36_242
  <=> e10 = op1(e13,e10) ),
    introduced(definition,[new_symbols(definition,[spl36_242])],[avatar_definition]) ).

fof(f2032,plain,
    ( e10 = op1(e13,e10)
    | ~ spl36_242 ),
    inference(avatar_component_clause,[],[f2030]) ).

fof(f2033,plain,
    ( spl36_224
    | spl36_242 ),
    inference(avatar_split_clause,[],[f597,f2030,f1938]) ).

fof(f2035,definition,
    ( spl36_243
  <=> e11 = op1(e13,e11) ),
    introduced(definition,[new_symbols(definition,[spl36_243])],[avatar_definition]) ).

fof(f2037,plain,
    ( e11 = op1(e13,e11)
    | ~ spl36_243 ),
    inference(avatar_component_clause,[],[f2035]) ).

fof(f2038,plain,
    ( ~ spl36_232
    | spl36_243 ),
    inference(avatar_split_clause,[],[f310,f2035,f1974]) ).

fof(f2054,plain,
    ( ~ spl36_191
    | spl36_199
    | ~ spl36_200
    | spl36_201
    | spl36_202
    | spl36_210
    | ~ spl36_211
    | ~ spl36_212
    | spl36_213
    | ~ spl36_221
    | ~ spl36_222
    | ~ spl36_223
    | ~ spl36_224
    | spl36_232
    | ~ spl36_231 ),
    inference(avatar_split_clause,[],[f581,f1969,f1974,f1938,f1930,f1922,f1914,f1878,f1870,f1862,f1854,f1818,f1810,f1802,f1794,f1758]) ).

fof(f2059,definition,
    ( spl36_244
  <=> e12 = op1(e13,e12) ),
    introduced(definition,[new_symbols(definition,[spl36_244])],[avatar_definition]) ).

fof(f2061,plain,
    ( e12 = op1(e13,e12)
    | ~ spl36_244 ),
    inference(avatar_component_clause,[],[f2059]) ).

fof(f2066,plain,
    ( ~ spl36_191
    | spl36_199
    | ~ spl36_200
    | spl36_201
    | spl36_202
    | spl36_210
    | ~ spl36_211
    | ~ spl36_212
    | spl36_213
    | ~ spl36_221
    | ~ spl36_222
    | ~ spl36_223
    | ~ spl36_224
    | spl36_232
    | spl36_244
    | spl36_231 ),
    inference(avatar_split_clause,[],[f573,f1969,f2059,f1974,f1938,f1930,f1922,f1914,f1878,f1870,f1862,f1854,f1818,f1810,f1802,f1794,f1758]) ).

fof(f2067,plain,
    ( spl36_192
    | spl36_205
    | spl36_218
    | spl36_231 ),
    inference(avatar_split_clause,[],[f335,f1969,f1900,f1831,f1762]) ).

fof(f2069,plain,
    ( ~ spl36_214
    | spl36_215 ),
    inference(avatar_split_clause,[],[f337,f1886,f1882]) ).

fof(f2070,plain,
    ( ~ spl36_225
    | spl36_226 ),
    inference(avatar_split_clause,[],[f338,f1946,f1942]) ).

fof(f2072,plain,
    ( ~ spl36_216
    | spl36_217 ),
    inference(avatar_split_clause,[],[f340,f1895,f1891]) ).

fof(f2073,plain,
    ( ~ spl36_227
    | spl36_228 ),
    inference(avatar_split_clause,[],[f341,f1955,f1951]) ).

fof(f2074,plain,
    ( ~ spl36_195
    | spl36_196 ),
    inference(avatar_split_clause,[],[f342,f1780,f1776]) ).

fof(f2076,plain,
    ( ~ spl36_229
    | spl36_230 ),
    inference(avatar_split_clause,[],[f344,f1964,f1960]) ).

fof(f2077,plain,
    ( ~ spl36_197
    | spl36_198 ),
    inference(avatar_split_clause,[],[f345,f1789,f1785]) ).

fof(f2080,plain,
    ( spl36_138
    | spl36_150
    | spl36_161
    | spl36_172 ),
    inference(avatar_split_clause,[],[f85,f1623,f1563,f1503,f1439]) ).

fof(f2083,definition,
    ( spl36_245
  <=> e21 = op2(e20,e22) ),
    introduced(definition,[new_symbols(definition,[spl36_245])],[avatar_definition]) ).

fof(f2085,plain,
    ( e21 = op2(e20,e22)
    | ~ spl36_245 ),
    inference(avatar_component_clause,[],[f2083]) ).

fof(f2087,definition,
    ( spl36_246
  <=> e21 = op2(e20,e23) ),
    introduced(definition,[new_symbols(definition,[spl36_246])],[avatar_definition]) ).

fof(f2089,plain,
    ( e21 = op2(e20,e23)
    | ~ spl36_246 ),
    inference(avatar_component_clause,[],[f2087]) ).

fof(f2090,plain,
    ( spl36_149
    | spl36_179
    | spl36_245
    | spl36_246 ),
    inference(avatar_split_clause,[],[f87,f2087,f2083,f1660,f1499]) ).

fof(f2092,definition,
    ( spl36_247
  <=> e21 = op2(e22,e20) ),
    introduced(definition,[new_symbols(definition,[spl36_247])],[avatar_definition]) ).

fof(f2094,plain,
    ( e21 = op2(e22,e20)
    | ~ spl36_247 ),
    inference(avatar_component_clause,[],[f2092]) ).

fof(f2096,definition,
    ( spl36_248
  <=> e21 = op2(e23,e20) ),
    introduced(definition,[new_symbols(definition,[spl36_248])],[avatar_definition]) ).

fof(f2098,plain,
    ( e21 = op2(e23,e20)
    | ~ spl36_248 ),
    inference(avatar_component_clause,[],[f2096]) ).

fof(f2099,plain,
    ( spl36_149
    | spl36_140
    | spl36_247
    | spl36_248 ),
    inference(avatar_split_clause,[],[f88,f2096,f2092,f1448,f1499]) ).

fof(f2101,definition,
    ( spl36_249
  <=> e22 = op2(e20,e21) ),
    introduced(definition,[new_symbols(definition,[spl36_249])],[avatar_definition]) ).

fof(f2103,plain,
    ( e22 = op2(e20,e21)
    | ~ spl36_249 ),
    inference(avatar_component_clause,[],[f2101]) ).

fof(f2105,definition,
    ( spl36_250
  <=> e22 = op2(e20,e23) ),
    introduced(definition,[new_symbols(definition,[spl36_250])],[avatar_definition]) ).

fof(f2107,plain,
    ( e22 = op2(e20,e23)
    | ~ spl36_250 ),
    inference(avatar_component_clause,[],[f2105]) ).

fof(f2110,definition,
    ( spl36_251
  <=> e22 = op2(e21,e20) ),
    introduced(definition,[new_symbols(definition,[spl36_251])],[avatar_definition]) ).

fof(f2112,plain,
    ( e22 = op2(e21,e20)
    | ~ spl36_251 ),
    inference(avatar_component_clause,[],[f2110]) ).

fof(f2114,definition,
    ( spl36_252
  <=> e22 = op2(e23,e20) ),
    introduced(definition,[new_symbols(definition,[spl36_252])],[avatar_definition]) ).

fof(f2116,plain,
    ( e22 = op2(e23,e20)
    | ~ spl36_252 ),
    inference(avatar_component_clause,[],[f2114]) ).

fof(f2117,plain,
    ( spl36_160
    | spl36_251
    | spl36_142
    | spl36_252 ),
    inference(avatar_split_clause,[],[f90,f2114,f1457,f2110,f1559]) ).

fof(f2119,definition,
    ( spl36_253
  <=> e23 = op2(e20,e21) ),
    introduced(definition,[new_symbols(definition,[spl36_253])],[avatar_definition]) ).

fof(f2121,plain,
    ( e23 = op2(e20,e21)
    | ~ spl36_253 ),
    inference(avatar_component_clause,[],[f2119]) ).

fof(f2123,definition,
    ( spl36_254
  <=> e23 = op2(e20,e22) ),
    introduced(definition,[new_symbols(definition,[spl36_254])],[avatar_definition]) ).

fof(f2125,plain,
    ( e23 = op2(e20,e22)
    | ~ spl36_254 ),
    inference(avatar_component_clause,[],[f2123]) ).

fof(f2126,plain,
    ( spl36_171
    | spl36_253
    | spl36_254
    | spl36_181 ),
    inference(avatar_split_clause,[],[f91,f1670,f2123,f2119,f1619]) ).

fof(f2128,definition,
    ( spl36_255
  <=> e23 = op2(e21,e20) ),
    introduced(definition,[new_symbols(definition,[spl36_255])],[avatar_definition]) ).

fof(f2130,plain,
    ( e23 = op2(e21,e20)
    | ~ spl36_255 ),
    inference(avatar_component_clause,[],[f2128]) ).

fof(f2137,definition,
    ( spl36_257
  <=> e20 = op2(e21,e22) ),
    introduced(definition,[new_symbols(definition,[spl36_257])],[avatar_definition]) ).

fof(f2139,plain,
    ( e20 = op2(e21,e22)
    | ~ spl36_257 ),
    inference(avatar_component_clause,[],[f2137]) ).

fof(f2141,definition,
    ( spl36_258
  <=> e20 = op2(e21,e23) ),
    introduced(definition,[new_symbols(definition,[spl36_258])],[avatar_definition]) ).

fof(f2143,plain,
    ( e20 = op2(e21,e23)
    | ~ spl36_258 ),
    inference(avatar_component_clause,[],[f2141]) ).

fof(f2144,plain,
    ( spl36_182
    | spl36_139
    | spl36_257
    | spl36_258 ),
    inference(avatar_split_clause,[],[f93,f2141,f2137,f1444,f1675]) ).

fof(f2146,definition,
    ( spl36_259
  <=> e20 = op2(e22,e21) ),
    introduced(definition,[new_symbols(definition,[spl36_259])],[avatar_definition]) ).

fof(f2148,plain,
    ( e20 = op2(e22,e21)
    | ~ spl36_259 ),
    inference(avatar_component_clause,[],[f2146]) ).

fof(f2150,definition,
    ( spl36_260
  <=> e20 = op2(e23,e21) ),
    introduced(definition,[new_symbols(definition,[spl36_260])],[avatar_definition]) ).

fof(f2152,plain,
    ( e20 = op2(e23,e21)
    | ~ spl36_260 ),
    inference(avatar_component_clause,[],[f2150]) ).

fof(f2153,plain,
    ( spl36_150
    | spl36_139
    | spl36_259
    | spl36_260 ),
    inference(avatar_split_clause,[],[f94,f2150,f2146,f1444,f1503]) ).

fof(f2157,definition,
    ( spl36_261
  <=> e22 = op2(e21,e23) ),
    introduced(definition,[new_symbols(definition,[spl36_261])],[avatar_definition]) ).

fof(f2159,plain,
    ( e22 = op2(e21,e23)
    | ~ spl36_261 ),
    inference(avatar_component_clause,[],[f2157]) ).

fof(f2160,plain,
    ( spl36_251
    | spl36_162
    | spl36_183
    | spl36_261 ),
    inference(avatar_split_clause,[],[f97,f2157,f1681,f1568,f2110]) ).

fof(f2162,definition,
    ( spl36_262
  <=> e22 = op2(e23,e21) ),
    introduced(definition,[new_symbols(definition,[spl36_262])],[avatar_definition]) ).

fof(f2164,plain,
    ( e22 = op2(e23,e21)
    | ~ spl36_262 ),
    inference(avatar_component_clause,[],[f2162]) ).

fof(f2165,plain,
    ( spl36_249
    | spl36_162
    | spl36_153
    | spl36_262 ),
    inference(avatar_split_clause,[],[f98,f2162,f1517,f1568,f2101]) ).

fof(f2167,definition,
    ( spl36_263
  <=> e23 = op2(e21,e22) ),
    introduced(definition,[new_symbols(definition,[spl36_263])],[avatar_definition]) ).

fof(f2169,plain,
    ( e23 = op2(e21,e22)
    | ~ spl36_263 ),
    inference(avatar_component_clause,[],[f2167]) ).

fof(f2170,plain,
    ( spl36_255
    | spl36_173
    | spl36_263
    | spl36_184 ),
    inference(avatar_split_clause,[],[f99,f1686,f2167,f1628,f2128]) ).

fof(f2172,definition,
    ( spl36_264
  <=> e23 = op2(e22,e21) ),
    introduced(definition,[new_symbols(definition,[spl36_264])],[avatar_definition]) ).

fof(f2174,plain,
    ( e23 = op2(e22,e21)
    | ~ spl36_264 ),
    inference(avatar_component_clause,[],[f2172]) ).

fof(f2175,plain,
    ( spl36_253
    | spl36_173
    | spl36_264
    | spl36_155 ),
    inference(avatar_split_clause,[],[f100,f1526,f2172,f1628,f2119]) ).

fof(f2177,definition,
    ( spl36_265
  <=> e20 = op2(e22,e23) ),
    introduced(definition,[new_symbols(definition,[spl36_265])],[avatar_definition]) ).

fof(f2180,plain,
    ( spl36_185
    | spl36_259
    | spl36_141
    | spl36_265 ),
    inference(avatar_split_clause,[],[f101,f2177,f1453,f2146,f1691]) ).

fof(f2182,definition,
    ( spl36_266
  <=> e20 = op2(e23,e22) ),
    introduced(definition,[new_symbols(definition,[spl36_266])],[avatar_definition]) ).

fof(f2184,plain,
    ( e20 = op2(e23,e22)
    | ~ spl36_266 ),
    inference(avatar_component_clause,[],[f2182]) ).

fof(f2185,plain,
    ( spl36_161
    | spl36_257
    | spl36_141
    | spl36_266 ),
    inference(avatar_split_clause,[],[f102,f2182,f1453,f2137,f1563]) ).

fof(f2187,definition,
    ( spl36_267
  <=> e21 = op2(e22,e23) ),
    introduced(definition,[new_symbols(definition,[spl36_267])],[avatar_definition]) ).

fof(f2189,plain,
    ( e21 = op2(e22,e23)
    | ~ spl36_267 ),
    inference(avatar_component_clause,[],[f2187]) ).

fof(f2190,plain,
    ( spl36_247
    | spl36_186
    | spl36_152
    | spl36_267 ),
    inference(avatar_split_clause,[],[f103,f2187,f1513,f1696,f2092]) ).

fof(f2192,definition,
    ( spl36_268
  <=> e21 = op2(e23,e22) ),
    introduced(definition,[new_symbols(definition,[spl36_268])],[avatar_definition]) ).

fof(f2194,plain,
    ( e21 = op2(e23,e22)
    | ~ spl36_268 ),
    inference(avatar_component_clause,[],[f2192]) ).

fof(f2196,plain,
    ( spl36_142
    | spl36_153
    | spl36_164
    | spl36_176 ),
    inference(avatar_split_clause,[],[f105,f1641,f1577,f1517,f1457]) ).

fof(f2199,plain,
    ( spl36_254
    | spl36_263
    | spl36_175
    | spl36_166 ),
    inference(avatar_split_clause,[],[f108,f1586,f1637,f2167,f2123]) ).

fof(f2202,plain,
    ( spl36_248
    | spl36_189
    | spl36_268
    | spl36_154 ),
    inference(avatar_split_clause,[],[f111,f1522,f2192,f1712,f2096]) ).

fof(f2203,plain,
    ( spl36_246
    | spl36_174
    | spl36_267
    | spl36_154 ),
    inference(avatar_split_clause,[],[f112,f1522,f2187,f1632,f2087]) ).

fof(f2204,plain,
    ( spl36_252
    | spl36_262
    | spl36_190
    | spl36_165 ),
    inference(avatar_split_clause,[],[f113,f1582,f1736,f2162,f2114]) ).

fof(f2207,plain,
    ( spl36_181
    | spl36_184
    | spl36_187
    | spl36_177 ),
    inference(avatar_split_clause,[],[f116,f1646,f1702,f1686,f1670]) ).

fof(f2208,plain,
    ( spl36_138
    | spl36_149
    | spl36_160
    | spl36_171 ),
    inference(avatar_split_clause,[],[f69,f1619,f1559,f1499,f1439]) ).

fof(f2213,plain,
    ( spl36_139
    | spl36_151
    | spl36_162
    | spl36_173 ),
    inference(avatar_split_clause,[],[f74,f1628,f1568,f1508,f1444]) ).

fof(f2224,plain,
    ( spl36_192
    | spl36_204
    | spl36_215
    | spl36_226 ),
    inference(avatar_split_clause,[],[f37,f1946,f1886,f1826,f1762]) ).

fof(f2225,plain,
    ( spl36_192
    | spl36_236
    | spl36_239
    | spl36_242 ),
    inference(avatar_split_clause,[],[f38,f2030,f2014,f1998,f1762]) ).

fof(f2227,definition,
    ( spl36_269
  <=> e11 = op1(e10,e12) ),
    introduced(definition,[new_symbols(definition,[spl36_269])],[avatar_definition]) ).

fof(f2229,plain,
    ( e11 = op1(e10,e12)
    | ~ spl36_269 ),
    inference(avatar_component_clause,[],[f2227]) ).

fof(f2231,definition,
    ( spl36_270
  <=> e11 = op1(e10,e13) ),
    introduced(definition,[new_symbols(definition,[spl36_270])],[avatar_definition]) ).

fof(f2233,plain,
    ( e11 = op1(e10,e13)
    | ~ spl36_270 ),
    inference(avatar_component_clause,[],[f2231]) ).

fof(f2234,plain,
    ( spl36_203
    | spl36_233
    | spl36_269
    | spl36_270 ),
    inference(avatar_split_clause,[],[f39,f2231,f2227,f1983,f1822]) ).

fof(f2236,definition,
    ( spl36_271
  <=> e11 = op1(e12,e10) ),
    introduced(definition,[new_symbols(definition,[spl36_271])],[avatar_definition]) ).

fof(f2240,definition,
    ( spl36_272
  <=> e11 = op1(e13,e10) ),
    introduced(definition,[new_symbols(definition,[spl36_272])],[avatar_definition]) ).

fof(f2242,plain,
    ( e11 = op1(e13,e10)
    | ~ spl36_272 ),
    inference(avatar_component_clause,[],[f2240]) ).

fof(f2243,plain,
    ( spl36_203
    | spl36_194
    | spl36_271
    | spl36_272 ),
    inference(avatar_split_clause,[],[f40,f2240,f2236,f1771,f1822]) ).

fof(f2245,definition,
    ( spl36_273
  <=> e12 = op1(e10,e11) ),
    introduced(definition,[new_symbols(definition,[spl36_273])],[avatar_definition]) ).

fof(f2247,plain,
    ( e12 = op1(e10,e11)
    | ~ spl36_273 ),
    inference(avatar_component_clause,[],[f2245]) ).

fof(f2249,definition,
    ( spl36_274
  <=> e12 = op1(e10,e13) ),
    introduced(definition,[new_symbols(definition,[spl36_274])],[avatar_definition]) ).

fof(f2251,plain,
    ( e12 = op1(e10,e13)
    | ~ spl36_274 ),
    inference(avatar_component_clause,[],[f2249]) ).

fof(f2254,definition,
    ( spl36_275
  <=> e12 = op1(e11,e10) ),
    introduced(definition,[new_symbols(definition,[spl36_275])],[avatar_definition]) ).

fof(f2256,plain,
    ( e12 = op1(e11,e10)
    | ~ spl36_275 ),
    inference(avatar_component_clause,[],[f2254]) ).

fof(f2258,definition,
    ( spl36_276
  <=> e12 = op1(e13,e10) ),
    introduced(definition,[new_symbols(definition,[spl36_276])],[avatar_definition]) ).

fof(f2260,plain,
    ( e12 = op1(e13,e10)
    | ~ spl36_276 ),
    inference(avatar_component_clause,[],[f2258]) ).

fof(f2261,plain,
    ( spl36_214
    | spl36_275
    | spl36_196
    | spl36_276 ),
    inference(avatar_split_clause,[],[f42,f2258,f1780,f2254,f1882]) ).

fof(f2263,definition,
    ( spl36_277
  <=> e13 = op1(e10,e11) ),
    introduced(definition,[new_symbols(definition,[spl36_277])],[avatar_definition]) ).

fof(f2267,definition,
    ( spl36_278
  <=> e13 = op1(e10,e12) ),
    introduced(definition,[new_symbols(definition,[spl36_278])],[avatar_definition]) ).

fof(f2269,plain,
    ( e13 = op1(e10,e12)
    | ~ spl36_278 ),
    inference(avatar_component_clause,[],[f2267]) ).

fof(f2270,plain,
    ( spl36_225
    | spl36_277
    | spl36_278
    | spl36_235 ),
    inference(avatar_split_clause,[],[f43,f1993,f2267,f2263,f1942]) ).

fof(f2272,definition,
    ( spl36_279
  <=> e13 = op1(e11,e10) ),
    introduced(definition,[new_symbols(definition,[spl36_279])],[avatar_definition]) ).

fof(f2274,plain,
    ( e13 = op1(e11,e10)
    | ~ spl36_279 ),
    inference(avatar_component_clause,[],[f2272]) ).

fof(f2276,definition,
    ( spl36_280
  <=> e13 = op1(e12,e10) ),
    introduced(definition,[new_symbols(definition,[spl36_280])],[avatar_definition]) ).

fof(f2281,definition,
    ( spl36_281
  <=> e10 = op1(e11,e12) ),
    introduced(definition,[new_symbols(definition,[spl36_281])],[avatar_definition]) ).

fof(f2283,plain,
    ( e10 = op1(e11,e12)
    | ~ spl36_281 ),
    inference(avatar_component_clause,[],[f2281]) ).

fof(f2285,definition,
    ( spl36_282
  <=> e10 = op1(e11,e13) ),
    introduced(definition,[new_symbols(definition,[spl36_282])],[avatar_definition]) ).

fof(f2288,plain,
    ( spl36_236
    | spl36_193
    | spl36_281
    | spl36_282 ),
    inference(avatar_split_clause,[],[f45,f2285,f2281,f1767,f1998]) ).

fof(f2290,definition,
    ( spl36_283
  <=> e10 = op1(e12,e11) ),
    introduced(definition,[new_symbols(definition,[spl36_283])],[avatar_definition]) ).

fof(f2294,definition,
    ( spl36_284
  <=> e10 = op1(e13,e11) ),
    introduced(definition,[new_symbols(definition,[spl36_284])],[avatar_definition]) ).

fof(f2296,plain,
    ( e10 = op1(e13,e11)
    | ~ spl36_284 ),
    inference(avatar_component_clause,[],[f2294]) ).

fof(f2297,plain,
    ( spl36_204
    | spl36_193
    | spl36_283
    | spl36_284 ),
    inference(avatar_split_clause,[],[f46,f2294,f2290,f1767,f1826]) ).

fof(f2301,definition,
    ( spl36_285
  <=> e12 = op1(e11,e13) ),
    introduced(definition,[new_symbols(definition,[spl36_285])],[avatar_definition]) ).

fof(f2303,plain,
    ( e12 = op1(e11,e13)
    | ~ spl36_285 ),
    inference(avatar_component_clause,[],[f2301]) ).

fof(f2304,plain,
    ( spl36_275
    | spl36_216
    | spl36_237
    | spl36_285 ),
    inference(avatar_split_clause,[],[f49,f2301,f2004,f1891,f2254]) ).

fof(f2306,definition,
    ( spl36_286
  <=> e12 = op1(e13,e11) ),
    introduced(definition,[new_symbols(definition,[spl36_286])],[avatar_definition]) ).

fof(f2308,plain,
    ( e12 = op1(e13,e11)
    | ~ spl36_286 ),
    inference(avatar_component_clause,[],[f2306]) ).

fof(f2309,plain,
    ( spl36_273
    | spl36_216
    | spl36_207
    | spl36_286 ),
    inference(avatar_split_clause,[],[f50,f2306,f1840,f1891,f2245]) ).

fof(f2311,definition,
    ( spl36_287
  <=> e13 = op1(e11,e12) ),
    introduced(definition,[new_symbols(definition,[spl36_287])],[avatar_definition]) ).

fof(f2313,plain,
    ( e13 = op1(e11,e12)
    | ~ spl36_287 ),
    inference(avatar_component_clause,[],[f2311]) ).

fof(f2314,plain,
    ( spl36_279
    | spl36_227
    | spl36_287
    | spl36_238 ),
    inference(avatar_split_clause,[],[f51,f2009,f2311,f1951,f2272]) ).

fof(f2316,definition,
    ( spl36_288
  <=> e13 = op1(e12,e11) ),
    introduced(definition,[new_symbols(definition,[spl36_288])],[avatar_definition]) ).

fof(f2318,plain,
    ( e13 = op1(e12,e11)
    | ~ spl36_288 ),
    inference(avatar_component_clause,[],[f2316]) ).

fof(f2326,definition,
    ( spl36_290
  <=> e10 = op1(e13,e12) ),
    introduced(definition,[new_symbols(definition,[spl36_290])],[avatar_definition]) ).

fof(f2329,plain,
    ( spl36_215
    | spl36_281
    | spl36_195
    | spl36_290 ),
    inference(avatar_split_clause,[],[f54,f2326,f1776,f2281,f1886]) ).

fof(f2331,definition,
    ( spl36_291
  <=> e11 = op1(e12,e13) ),
    introduced(definition,[new_symbols(definition,[spl36_291])],[avatar_definition]) ).

fof(f2333,plain,
    ( e11 = op1(e12,e13)
    | ~ spl36_291 ),
    inference(avatar_component_clause,[],[f2331]) ).

fof(f2336,definition,
    ( spl36_292
  <=> e11 = op1(e13,e12) ),
    introduced(definition,[new_symbols(definition,[spl36_292])],[avatar_definition]) ).

fof(f2338,plain,
    ( e11 = op1(e13,e12)
    | ~ spl36_292 ),
    inference(avatar_component_clause,[],[f2336]) ).

fof(f2339,plain,
    ( spl36_269
    | spl36_217
    | spl36_206
    | spl36_292 ),
    inference(avatar_split_clause,[],[f56,f2336,f1836,f1895,f2227]) ).

fof(f2340,plain,
    ( spl36_196
    | spl36_207
    | spl36_218
    | spl36_230 ),
    inference(avatar_split_clause,[],[f57,f1964,f1900,f1840,f1780]) ).

fof(f2341,plain,
    ( spl36_234
    | spl36_237
    | spl36_218
    | spl36_244 ),
    inference(avatar_split_clause,[],[f58,f2059,f1900,f2004,f1988]) ).

fof(f2342,plain,
    ( spl36_280
    | spl36_288
    | spl36_229
    | spl36_241 ),
    inference(avatar_split_clause,[],[f59,f2025,f1960,f2316,f2276]) ).

fof(f2346,plain,
    ( spl36_272
    | spl36_243
    | spl36_292
    | spl36_208 ),
    inference(avatar_split_clause,[],[f63,f1845,f2336,f2035,f2240]) ).

fof(f2351,plain,
    ( spl36_235
    | spl36_238
    | spl36_241
    | spl36_231 ),
    inference(avatar_split_clause,[],[f68,f1969,f2025,f2009,f1993]) ).

fof(f2352,plain,
    ( spl36_192
    | spl36_203
    | spl36_214
    | spl36_225 ),
    inference(avatar_split_clause,[],[f21,f1942,f1882,f1822,f1762]) ).

fof(f2362,plain,
    ( spl36_195
    | spl36_206
    | spl36_218
    | spl36_229 ),
    inference(avatar_split_clause,[],[f31,f1960,f1900,f1836,f1776]) ).

fof(f2368,plain,
    ( e20 != e21
    | ~ spl36_2
    | spl36_7 ),
    inference(forward_demodulation,[],[f821,f796]) ).

fof(f2370,plain,
    ( e20 != e22
    | spl36_22
    | ~ spl36_105 ),
    inference(superposition,[],[f893,f1272]) ).

fof(f2371,plain,
    ( e20 != e23
    | spl36_32
    | ~ spl36_136 ),
    inference(superposition,[],[f941,f1424]) ).

fof(f2372,plain,
    spl36_197,
    inference(avatar_split_clause,[],[f457,f1785]) ).

fof(f2373,plain,
    spl36_143,
    inference(avatar_split_clause,[],[f460,f1462]) ).

fof(f2406,plain,
    ( e22 = e23
    | ~ spl36_176
    | ~ spl36_187 ),
    inference(superposition,[],[f1704,f1642]) ).

fof(f2410,plain,
    ( $false
    | ~ spl36_176
    | ~ spl36_187 ),
    inference(forward_subsumption_resolution,[],[f2406,f219]) ).

fof(f2411,plain,
    ( ~ spl36_176
    | ~ spl36_187 ),
    inference(avatar_contradiction_clause,[],[f2410]) ).

fof(f2413,plain,
    ( e20 = e23
    | ~ spl36_144
    | ~ spl36_188 ),
    inference(forward_demodulation,[],[f1709,f1467]) ).

fof(f2414,plain,
    ( $false
    | spl36_32
    | ~ spl36_136
    | ~ spl36_144
    | ~ spl36_188 ),
    inference(forward_subsumption_resolution,[],[f2413,f2371]) ).

fof(f2415,plain,
    ( spl36_32
    | ~ spl36_136
    | ~ spl36_144
    | ~ spl36_188 ),
    inference(avatar_contradiction_clause,[],[f2414]) ).

fof(f2416,plain,
    ( e20 = e23
    | ~ spl36_32
    | ~ spl36_136 ),
    inference(forward_demodulation,[],[f940,f1424]) ).

fof(f2448,plain,
    ( e21 = e22
    | ~ spl36_142
    | ~ spl36_247 ),
    inference(forward_demodulation,[],[f2094,f1458]) ).

fof(f2450,plain,
    ( e20 = e22
    | ~ spl36_153
    | ~ spl36_259 ),
    inference(forward_demodulation,[],[f2148,f1518]) ).

fof(f2460,plain,
    ( $false
    | ~ spl36_142
    | ~ spl36_247 ),
    inference(forward_subsumption_resolution,[],[f2448,f221]) ).

fof(f2461,plain,
    ( ~ spl36_142
    | ~ spl36_247 ),
    inference(avatar_contradiction_clause,[],[f2460]) ).

fof(f2463,plain,
    ( $false
    | spl36_22
    | ~ spl36_105
    | ~ spl36_153
    | ~ spl36_259 ),
    inference(forward_subsumption_resolution,[],[f2450,f2370]) ).

fof(f2464,plain,
    ( spl36_22
    | ~ spl36_105
    | ~ spl36_153
    | ~ spl36_259 ),
    inference(avatar_contradiction_clause,[],[f2463]) ).

fof(f2474,plain,
    ( e22 = e23
    | ~ spl36_181
    | ~ spl36_250 ),
    inference(forward_demodulation,[],[f2107,f1672]) ).

fof(f2488,plain,
    ( $false
    | ~ spl36_181
    | ~ spl36_250 ),
    inference(forward_subsumption_resolution,[],[f2474,f219]) ).

fof(f2489,plain,
    ( ~ spl36_181
    | ~ spl36_250 ),
    inference(avatar_contradiction_clause,[],[f2488]) ).

fof(f2509,plain,
    ( $false
    | ~ spl36_32
    | ~ spl36_136 ),
    inference(forward_subsumption_resolution,[],[f222,f2416]) ).

fof(f2510,plain,
    ( ~ spl36_32
    | ~ spl36_136 ),
    inference(avatar_contradiction_clause,[],[f2509]) ).

fof(f2511,plain,
    ( e20 != e23
    | spl36_32
    | ~ spl36_136 ),
    inference(forward_demodulation,[],[f941,f1424]) ).

fof(f2528,plain,
    ( e20 = e23
    | ~ spl36_143
    | ~ spl36_177 ),
    inference(superposition,[],[f1647,f1463]) ).

fof(f2533,plain,
    ( $false
    | spl36_32
    | ~ spl36_136
    | ~ spl36_143
    | ~ spl36_177 ),
    inference(forward_subsumption_resolution,[],[f2528,f2511]) ).

fof(f2534,plain,
    ( spl36_32
    | ~ spl36_136
    | ~ spl36_143
    | ~ spl36_177 ),
    inference(avatar_contradiction_clause,[],[f2533]) ).

fof(f2543,plain,
    ( e10 = e12
    | ~ spl36_196
    | ~ spl36_239 ),
    inference(forward_demodulation,[],[f2016,f1781]) ).

fof(f2544,plain,
    ( $false
    | ~ spl36_196
    | ~ spl36_239 ),
    inference(forward_subsumption_resolution,[],[f2543,f217]) ).

fof(f2545,plain,
    ( ~ spl36_196
    | ~ spl36_239 ),
    inference(avatar_contradiction_clause,[],[f2544]) ).

fof(f2547,plain,
    ( e10 = e11
    | ~ spl36_197
    | ~ spl36_208 ),
    inference(forward_demodulation,[],[f1846,f1786]) ).

fof(f2548,plain,
    ( $false
    | ~ spl36_197
    | ~ spl36_208 ),
    inference(forward_subsumption_resolution,[],[f2547,f218]) ).

fof(f2549,plain,
    ( ~ spl36_197
    | ~ spl36_208 ),
    inference(avatar_contradiction_clause,[],[f2548]) ).

fof(f2562,plain,
    ( e12 = e13
    | ~ spl36_198
    | ~ spl36_276 ),
    inference(forward_demodulation,[],[f2260,f1790]) ).

fof(f2564,plain,
    ( $false
    | ~ spl36_198
    | ~ spl36_276 ),
    inference(forward_subsumption_resolution,[],[f2562,f213]) ).

fof(f2565,plain,
    ( ~ spl36_198
    | ~ spl36_276 ),
    inference(avatar_contradiction_clause,[],[f2564]) ).

fof(f2594,plain,
    ( e10 = e13
    | ~ spl36_198
    | ~ spl36_242 ),
    inference(forward_demodulation,[],[f2032,f1790]) ).

fof(f2595,plain,
    ( $false
    | ~ spl36_198
    | ~ spl36_242 ),
    inference(forward_subsumption_resolution,[],[f2594,f216]) ).

fof(f2596,plain,
    ( ~ spl36_198
    | ~ spl36_242 ),
    inference(avatar_contradiction_clause,[],[f2595]) ).

fof(f2616,plain,
    ( e22 = e23
    | ~ spl36_249
    | ~ spl36_253 ),
    inference(superposition,[],[f2121,f2103]) ).

fof(f2622,plain,
    ( $false
    | ~ spl36_249
    | ~ spl36_253 ),
    inference(forward_subsumption_resolution,[],[f2616,f219]) ).

fof(f2623,plain,
    ( ~ spl36_249
    | ~ spl36_253 ),
    inference(avatar_contradiction_clause,[],[f2622]) ).

fof(f2627,plain,
    ( e20 = e22
    | ~ spl36_183
    | ~ spl36_257 ),
    inference(forward_demodulation,[],[f2139,f1683]) ).

fof(f2628,plain,
    ( $false
    | spl36_22
    | ~ spl36_105
    | ~ spl36_183
    | ~ spl36_257 ),
    inference(forward_subsumption_resolution,[],[f2627,f2370]) ).

fof(f2629,plain,
    ( spl36_22
    | ~ spl36_105
    | ~ spl36_183
    | ~ spl36_257 ),
    inference(avatar_contradiction_clause,[],[f2628]) ).

fof(f2630,plain,
    ( e20 = e22
    | ~ spl36_22
    | ~ spl36_105 ),
    inference(forward_demodulation,[],[f892,f1272]) ).

fof(f2681,plain,
    ( e20 != e22
    | spl36_22
    | ~ spl36_105 ),
    inference(forward_demodulation,[],[f893,f1272]) ).

fof(f2712,plain,
    ( e20 = e21
    | ~ spl36_186
    | ~ spl36_259 ),
    inference(superposition,[],[f2148,f1698]) ).

fof(f2717,plain,
    ( $false
    | ~ spl36_2
    | spl36_7
    | ~ spl36_186
    | ~ spl36_259 ),
    inference(forward_subsumption_resolution,[],[f2712,f2368]) ).

fof(f2718,plain,
    ( ~ spl36_2
    | spl36_7
    | ~ spl36_186
    | ~ spl36_259 ),
    inference(avatar_contradiction_clause,[],[f2717]) ).

fof(f2720,plain,
    ( e21 = e22
    | ~ spl36_174
    | ~ spl36_261 ),
    inference(superposition,[],[f2159,f1633]) ).

fof(f2725,plain,
    ( $false
    | ~ spl36_174
    | ~ spl36_261 ),
    inference(forward_subsumption_resolution,[],[f2720,f221]) ).

fof(f2726,plain,
    ( ~ spl36_174
    | ~ spl36_261 ),
    inference(avatar_contradiction_clause,[],[f2725]) ).

fof(f2728,plain,
    ( e21 = e22
    | ~ spl36_176
    | ~ spl36_267 ),
    inference(forward_demodulation,[],[f2189,f1642]) ).

fof(f2729,plain,
    ( $false
    | ~ spl36_176
    | ~ spl36_267 ),
    inference(forward_subsumption_resolution,[],[f2728,f221]) ).

fof(f2730,plain,
    ( ~ spl36_176
    | ~ spl36_267 ),
    inference(avatar_contradiction_clause,[],[f2729]) ).

fof(f2747,plain,
    ( e21 = e22
    | ~ spl36_246
    | ~ spl36_250 ),
    inference(superposition,[],[f2107,f2089]) ).

fof(f2753,plain,
    ( $false
    | ~ spl36_246
    | ~ spl36_250 ),
    inference(forward_subsumption_resolution,[],[f2747,f221]) ).

fof(f2754,plain,
    ( ~ spl36_246
    | ~ spl36_250 ),
    inference(avatar_contradiction_clause,[],[f2753]) ).

fof(f2762,plain,
    ( e22 = e23
    | ~ spl36_183
    | ~ spl36_263 ),
    inference(superposition,[],[f2169,f1683]) ).

fof(f2766,plain,
    ( $false
    | ~ spl36_183
    | ~ spl36_263 ),
    inference(forward_subsumption_resolution,[],[f2762,f219]) ).

fof(f2767,plain,
    ( ~ spl36_183
    | ~ spl36_263 ),
    inference(avatar_contradiction_clause,[],[f2766]) ).

fof(f2768,plain,
    ( e21 = e23
    | ~ spl36_140
    | ~ spl36_255 ),
    inference(superposition,[],[f2130,f1449]) ).

fof(f2773,plain,
    ( $false
    | ~ spl36_140
    | ~ spl36_255 ),
    inference(forward_subsumption_resolution,[],[f2768,f220]) ).

fof(f2774,plain,
    ( ~ spl36_140
    | ~ spl36_255 ),
    inference(avatar_contradiction_clause,[],[f2773]) ).

fof(f2775,plain,
    ( e20 = e22
    | ~ spl36_150
    | ~ spl36_249 ),
    inference(forward_demodulation,[],[f1504,f2103]) ).

fof(f2776,plain,
    ( $false
    | spl36_22
    | ~ spl36_105
    | ~ spl36_150
    | ~ spl36_249 ),
    inference(forward_subsumption_resolution,[],[f2775,f2681]) ).

fof(f2777,plain,
    ( spl36_22
    | ~ spl36_105
    | ~ spl36_150
    | ~ spl36_249 ),
    inference(avatar_contradiction_clause,[],[f2776]) ).

fof(f2778,plain,
    ( e20 = e21
    | ~ spl36_2
    | ~ spl36_7 ),
    inference(forward_demodulation,[],[f820,f796]) ).

fof(f2789,plain,
    ( e23 != op2(e23,e20)
    | ~ spl36_2
    | ~ spl36_7
    | spl36_155 ),
    inference(superposition,[],[f1528,f2778]) ).

fof(f2811,plain,
    ( $false
    | ~ spl36_2
    | ~ spl36_7
    | ~ spl36_144
    | spl36_155 ),
    inference(forward_subsumption_resolution,[],[f2789,f1467]) ).

fof(f2812,plain,
    ( ~ spl36_2
    | ~ spl36_7
    | ~ spl36_144
    | spl36_155 ),
    inference(avatar_contradiction_clause,[],[f2811]) ).

fof(f2837,plain,
    ( e20 = e21
    | ~ spl36_140
    | ~ spl36_182 ),
    inference(superposition,[],[f1677,f1449]) ).

fof(f2842,plain,
    ( $false
    | ~ spl36_2
    | spl36_7
    | ~ spl36_140
    | ~ spl36_182 ),
    inference(forward_subsumption_resolution,[],[f2837,f2368]) ).

fof(f2843,plain,
    ( ~ spl36_2
    | spl36_7
    | ~ spl36_140
    | ~ spl36_182 ),
    inference(avatar_contradiction_clause,[],[f2842]) ).

fof(f2854,plain,
    ( e21 = e23
    | ~ spl36_186
    | ~ spl36_264 ),
    inference(superposition,[],[f2174,f1698]) ).

fof(f2860,plain,
    ( $false
    | ~ spl36_186
    | ~ spl36_264 ),
    inference(forward_subsumption_resolution,[],[f2854,f220]) ).

fof(f2861,plain,
    ( ~ spl36_186
    | ~ spl36_264 ),
    inference(avatar_contradiction_clause,[],[f2860]) ).

fof(f2867,plain,
    ( e21 = e22
    | ~ spl36_190
    | ~ spl36_268 ),
    inference(forward_demodulation,[],[f2194,f1738]) ).

fof(f2868,plain,
    ( $false
    | ~ spl36_190
    | ~ spl36_268 ),
    inference(forward_subsumption_resolution,[],[f2867,f221]) ).

fof(f2869,plain,
    ( ~ spl36_190
    | ~ spl36_268 ),
    inference(avatar_contradiction_clause,[],[f2868]) ).

fof(f2871,plain,
    ( e21 = e23
    | ~ spl36_245
    | ~ spl36_254 ),
    inference(forward_demodulation,[],[f2085,f2125]) ).

fof(f2875,plain,
    ( $false
    | ~ spl36_245
    | ~ spl36_254 ),
    inference(forward_subsumption_resolution,[],[f2871,f220]) ).

fof(f2876,plain,
    ( ~ spl36_245
    | ~ spl36_254 ),
    inference(avatar_contradiction_clause,[],[f2875]) ).

fof(f2883,plain,
    ( e20 = e22
    | ~ spl36_142
    | ~ spl36_185 ),
    inference(forward_demodulation,[],[f1693,f1458]) ).

fof(f2884,plain,
    ( e20 = e22
    | ~ spl36_190
    | ~ spl36_266 ),
    inference(forward_demodulation,[],[f2184,f1738]) ).

fof(f2885,plain,
    ( $false
    | spl36_22
    | ~ spl36_105
    | ~ spl36_142
    | ~ spl36_185 ),
    inference(forward_subsumption_resolution,[],[f2883,f2681]) ).

fof(f2886,plain,
    ( spl36_22
    | ~ spl36_105
    | ~ spl36_142
    | ~ spl36_185 ),
    inference(avatar_contradiction_clause,[],[f2885]) ).

fof(f2887,plain,
    ( $false
    | spl36_22
    | ~ spl36_105
    | ~ spl36_190
    | ~ spl36_266 ),
    inference(forward_subsumption_resolution,[],[f2884,f2681]) ).

fof(f2888,plain,
    ( spl36_22
    | ~ spl36_105
    | ~ spl36_190
    | ~ spl36_266 ),
    inference(avatar_contradiction_clause,[],[f2887]) ).

fof(f2893,plain,
    ( e20 = e23
    | ~ spl36_139
    | ~ spl36_173 ),
    inference(superposition,[],[f1629,f1445]) ).

fof(f2898,plain,
    ( $false
    | spl36_32
    | ~ spl36_136
    | ~ spl36_139
    | ~ spl36_173 ),
    inference(forward_subsumption_resolution,[],[f2893,f2511]) ).

fof(f2899,plain,
    ( spl36_32
    | ~ spl36_136
    | ~ spl36_139
    | ~ spl36_173 ),
    inference(avatar_contradiction_clause,[],[f2898]) ).

fof(f2915,plain,
    ( e21 = e22
    | ~ spl36_140
    | ~ spl36_251 ),
    inference(superposition,[],[f2112,f1449]) ).

fof(f2921,plain,
    ( $false
    | ~ spl36_140
    | ~ spl36_251 ),
    inference(forward_subsumption_resolution,[],[f2915,f221]) ).

fof(f2922,plain,
    ( ~ spl36_140
    | ~ spl36_251 ),
    inference(avatar_contradiction_clause,[],[f2921]) ).

fof(f2927,plain,
    ( e21 = e23
    | ~ spl36_179
    | ~ spl36_253 ),
    inference(superposition,[],[f2121,f1662]) ).

fof(f2933,plain,
    ( $false
    | ~ spl36_179
    | ~ spl36_253 ),
    inference(forward_subsumption_resolution,[],[f2927,f220]) ).

fof(f2934,plain,
    ( ~ spl36_179
    | ~ spl36_253 ),
    inference(avatar_contradiction_clause,[],[f2933]) ).

fof(f2950,plain,
    ( e20 = e21
    | ~ spl36_163
    | ~ spl36_257 ),
    inference(superposition,[],[f2139,f1573]) ).

fof(f2955,plain,
    ( $false
    | ~ spl36_2
    | spl36_7
    | ~ spl36_163
    | ~ spl36_257 ),
    inference(forward_subsumption_resolution,[],[f2950,f2368]) ).

fof(f2956,plain,
    ( ~ spl36_2
    | spl36_7
    | ~ spl36_163
    | ~ spl36_257 ),
    inference(avatar_contradiction_clause,[],[f2955]) ).

fof(f2960,plain,
    ( e21 = e22
    | ~ spl36_189
    | ~ spl36_262 ),
    inference(superposition,[],[f2164,f1714]) ).

fof(f2965,plain,
    ( $false
    | ~ spl36_189
    | ~ spl36_262 ),
    inference(forward_subsumption_resolution,[],[f2960,f221]) ).

fof(f2966,plain,
    ( ~ spl36_189
    | ~ spl36_262 ),
    inference(avatar_contradiction_clause,[],[f2965]) ).

fof(f2967,plain,
    ( e20 = e23
    | ~ spl36_150
    | ~ spl36_253 ),
    inference(forward_demodulation,[],[f1504,f2121]) ).

fof(f2969,plain,
    ( $false
    | spl36_32
    | ~ spl36_136
    | ~ spl36_150
    | ~ spl36_253 ),
    inference(forward_subsumption_resolution,[],[f2967,f2511]) ).

fof(f2970,plain,
    ( spl36_32
    | ~ spl36_136
    | ~ spl36_150
    | ~ spl36_253 ),
    inference(avatar_contradiction_clause,[],[f2969]) ).

fof(f2972,plain,
    ( e22 = e23
    | ~ spl36_144
    | ~ spl36_252 ),
    inference(forward_demodulation,[],[f2116,f1467]) ).

fof(f2973,plain,
    ( $false
    | ~ spl36_144
    | ~ spl36_252 ),
    inference(forward_subsumption_resolution,[],[f2972,f219]) ).

fof(f2974,plain,
    ( ~ spl36_144
    | ~ spl36_252 ),
    inference(avatar_contradiction_clause,[],[f2973]) ).

fof(f2978,plain,
    ( e21 = e23
    | ~ spl36_151
    | ~ spl36_173 ),
    inference(superposition,[],[f1629,f1509]) ).

fof(f2984,plain,
    ( $false
    | ~ spl36_151
    | ~ spl36_173 ),
    inference(forward_subsumption_resolution,[],[f2978,f220]) ).

fof(f2985,plain,
    ( ~ spl36_151
    | ~ spl36_173 ),
    inference(avatar_contradiction_clause,[],[f2984]) ).

fof(f3002,plain,
    ( e20 = e22
    | ~ spl36_258
    | ~ spl36_261 ),
    inference(superposition,[],[f2159,f2143]) ).

fof(f3008,plain,
    ( $false
    | spl36_22
    | ~ spl36_105
    | ~ spl36_258
    | ~ spl36_261 ),
    inference(forward_subsumption_resolution,[],[f3002,f2681]) ).

fof(f3009,plain,
    ( spl36_22
    | ~ spl36_105
    | ~ spl36_258
    | ~ spl36_261 ),
    inference(avatar_contradiction_clause,[],[f3008]) ).

fof(f3015,plain,
    ( e20 = e23
    | ~ spl36_257
    | ~ spl36_263 ),
    inference(superposition,[],[f2169,f2139]) ).

fof(f3021,plain,
    ( $false
    | spl36_32
    | ~ spl36_136
    | ~ spl36_257
    | ~ spl36_263 ),
    inference(forward_subsumption_resolution,[],[f3015,f2511]) ).

fof(f3022,plain,
    ( spl36_32
    | ~ spl36_136
    | ~ spl36_257
    | ~ spl36_263 ),
    inference(avatar_contradiction_clause,[],[f3021]) ).

fof(f3023,plain,
    ( e21 = e23
    | ~ spl36_144
    | ~ spl36_248 ),
    inference(forward_demodulation,[],[f2098,f1467]) ).

fof(f3025,plain,
    ( $false
    | ~ spl36_144
    | ~ spl36_248 ),
    inference(forward_subsumption_resolution,[],[f3023,f220]) ).

fof(f3026,plain,
    ( ~ spl36_144
    | ~ spl36_248 ),
    inference(avatar_contradiction_clause,[],[f3025]) ).

fof(f3039,plain,
    ( e20 = e22
    | ~ spl36_260
    | ~ spl36_262 ),
    inference(forward_demodulation,[],[f2152,f2164]) ).

fof(f3040,plain,
    ( $false
    | spl36_22
    | ~ spl36_105
    | ~ spl36_260
    | ~ spl36_262 ),
    inference(forward_subsumption_resolution,[],[f3039,f2681]) ).

fof(f3041,plain,
    ( spl36_22
    | ~ spl36_105
    | ~ spl36_260
    | ~ spl36_262 ),
    inference(avatar_contradiction_clause,[],[f3040]) ).

fof(f3053,plain,
    ( e20 = e21
    | ~ spl36_185
    | ~ spl36_247 ),
    inference(forward_demodulation,[],[f2094,f1693]) ).

fof(f3054,plain,
    ( $false
    | ~ spl36_2
    | spl36_7
    | ~ spl36_185
    | ~ spl36_247 ),
    inference(forward_subsumption_resolution,[],[f3053,f2368]) ).

fof(f3055,plain,
    ( ~ spl36_2
    | spl36_7
    | ~ spl36_185
    | ~ spl36_247 ),
    inference(avatar_contradiction_clause,[],[f3054]) ).

fof(f3070,plain,
    ( e20 = e22
    | ~ spl36_182
    | ~ spl36_251 ),
    inference(superposition,[],[f2112,f1677]) ).

fof(f3076,plain,
    ( $false
    | spl36_22
    | ~ spl36_105
    | ~ spl36_182
    | ~ spl36_251 ),
    inference(forward_subsumption_resolution,[],[f3070,f2681]) ).

fof(f3077,plain,
    ( spl36_22
    | ~ spl36_105
    | ~ spl36_182
    | ~ spl36_251 ),
    inference(avatar_contradiction_clause,[],[f3076]) ).

fof(f3079,plain,
    ( e20 = e21
    | ~ spl36_174
    | ~ spl36_258 ),
    inference(superposition,[],[f2143,f1633]) ).

fof(f3084,plain,
    ( $false
    | ~ spl36_2
    | spl36_7
    | ~ spl36_174
    | ~ spl36_258 ),
    inference(forward_subsumption_resolution,[],[f3079,f2368]) ).

fof(f3085,plain,
    ( ~ spl36_2
    | spl36_7
    | ~ spl36_174
    | ~ spl36_258 ),
    inference(avatar_contradiction_clause,[],[f3084]) ).

fof(f3140,plain,
    ( e21 = e23
    | ~ spl36_163
    | ~ spl36_263 ),
    inference(superposition,[],[f2169,f1573]) ).

fof(f3146,plain,
    ( $false
    | ~ spl36_163
    | ~ spl36_263 ),
    inference(forward_subsumption_resolution,[],[f3140,f220]) ).

fof(f3147,plain,
    ( ~ spl36_163
    | ~ spl36_263 ),
    inference(avatar_contradiction_clause,[],[f3146]) ).

fof(f3152,plain,
    ( e21 = e23
    | ~ spl36_187
    | ~ spl36_267 ),
    inference(forward_demodulation,[],[f2189,f1704]) ).

fof(f3153,plain,
    ( $false
    | ~ spl36_187
    | ~ spl36_267 ),
    inference(forward_subsumption_resolution,[],[f3152,f220]) ).

fof(f3154,plain,
    ( ~ spl36_187
    | ~ spl36_267 ),
    inference(avatar_contradiction_clause,[],[f3153]) ).

fof(f3182,plain,
    ( $false
    | ~ spl36_22
    | ~ spl36_105 ),
    inference(forward_subsumption_resolution,[],[f223,f2630]) ).

fof(f3183,plain,
    ( ~ spl36_22
    | ~ spl36_105 ),
    inference(avatar_contradiction_clause,[],[f3182]) ).

fof(f3188,plain,
    ( e20 = e22
    | ~ spl36_138
    | ~ spl36_160 ),
    inference(superposition,[],[f1560,f1440]) ).

fof(f3193,plain,
    ( $false
    | spl36_22
    | ~ spl36_105
    | ~ spl36_138
    | ~ spl36_160 ),
    inference(forward_subsumption_resolution,[],[f3188,f2681]) ).

fof(f3194,plain,
    ( spl36_22
    | ~ spl36_105
    | ~ spl36_138
    | ~ spl36_160 ),
    inference(avatar_contradiction_clause,[],[f3193]) ).

fof(f3229,plain,
    ( e20 = e23
    | ~ spl36_161
    | ~ spl36_254 ),
    inference(superposition,[],[f2125,f1564]) ).

fof(f3234,plain,
    ( $false
    | spl36_32
    | ~ spl36_136
    | ~ spl36_161
    | ~ spl36_254 ),
    inference(forward_subsumption_resolution,[],[f3229,f2511]) ).

fof(f3235,plain,
    ( spl36_32
    | ~ spl36_136
    | ~ spl36_161
    | ~ spl36_254 ),
    inference(avatar_contradiction_clause,[],[f3234]) ).

fof(f3236,plain,
    ( e20 = e22
    | ~ spl36_172
    | ~ spl36_250 ),
    inference(forward_demodulation,[],[f1624,f2107]) ).

fof(f3237,plain,
    ( $false
    | spl36_22
    | ~ spl36_105
    | ~ spl36_172
    | ~ spl36_250 ),
    inference(forward_subsumption_resolution,[],[f3236,f2681]) ).

fof(f3238,plain,
    ( spl36_22
    | ~ spl36_105
    | ~ spl36_172
    | ~ spl36_250 ),
    inference(avatar_contradiction_clause,[],[f3237]) ).

fof(f3240,plain,
    ( e22 = e23
    | ~ spl36_184
    | ~ spl36_261 ),
    inference(forward_demodulation,[],[f2159,f1688]) ).

fof(f3241,plain,
    ( $false
    | ~ spl36_184
    | ~ spl36_261 ),
    inference(forward_subsumption_resolution,[],[f3240,f219]) ).

fof(f3242,plain,
    ( ~ spl36_184
    | ~ spl36_261 ),
    inference(avatar_contradiction_clause,[],[f3241]) ).

fof(f3243,plain,
    ( e21 = e23
    | ~ spl36_174
    | ~ spl36_184 ),
    inference(forward_demodulation,[],[f1633,f1688]) ).

fof(f3245,plain,
    ( $false
    | ~ spl36_174
    | ~ spl36_184 ),
    inference(forward_subsumption_resolution,[],[f3243,f220]) ).

fof(f3246,plain,
    ( ~ spl36_174
    | ~ spl36_184 ),
    inference(avatar_contradiction_clause,[],[f3245]) ).

fof(f3248,plain,
    ( e20 = e23
    | ~ spl36_184
    | ~ spl36_258 ),
    inference(forward_demodulation,[],[f2143,f1688]) ).

fof(f3249,plain,
    ( $false
    | spl36_32
    | ~ spl36_136
    | ~ spl36_184
    | ~ spl36_258 ),
    inference(forward_subsumption_resolution,[],[f3248,f2511]) ).

fof(f3250,plain,
    ( spl36_32
    | ~ spl36_136
    | ~ spl36_184
    | ~ spl36_258 ),
    inference(avatar_contradiction_clause,[],[f3249]) ).

fof(f3292,plain,
    ( e20 = e21
    | ~ spl36_266
    | ~ spl36_268 ),
    inference(forward_demodulation,[],[f2194,f2184]) ).

fof(f3293,plain,
    ( $false
    | ~ spl36_2
    | spl36_7
    | ~ spl36_266
    | ~ spl36_268 ),
    inference(forward_subsumption_resolution,[],[f3292,f2368]) ).

fof(f3294,plain,
    ( ~ spl36_2
    | spl36_7
    | ~ spl36_266
    | ~ spl36_268 ),
    inference(avatar_contradiction_clause,[],[f3293]) ).

fof(f3298,plain,
    ( e11 = e12
    | ~ spl36_194
    | ~ spl36_275 ),
    inference(superposition,[],[f2256,f1772]) ).

fof(f3302,plain,
    ( $false
    | ~ spl36_194
    | ~ spl36_275 ),
    inference(forward_subsumption_resolution,[],[f3298,f215]) ).

fof(f3303,plain,
    ( ~ spl36_194
    | ~ spl36_275 ),
    inference(avatar_contradiction_clause,[],[f3302]) ).

fof(f3305,plain,
    ( e10 = e11
    | ~ spl36_192
    | ~ spl36_203 ),
    inference(forward_demodulation,[],[f1823,f1763]) ).

fof(f3306,plain,
    ( $false
    | ~ spl36_192
    | ~ spl36_203 ),
    inference(forward_subsumption_resolution,[],[f3305,f218]) ).

fof(f3307,plain,
    ( ~ spl36_192
    | ~ spl36_203 ),
    inference(avatar_contradiction_clause,[],[f3306]) ).

fof(f3317,plain,
    ( e10 = e11
    | ~ spl36_204
    | ~ spl36_233 ),
    inference(superposition,[],[f1827,f1985]) ).

fof(f3321,plain,
    ( $false
    | ~ spl36_204
    | ~ spl36_233 ),
    inference(forward_subsumption_resolution,[],[f3317,f218]) ).

fof(f3322,plain,
    ( ~ spl36_204
    | ~ spl36_233 ),
    inference(avatar_contradiction_clause,[],[f3321]) ).

fof(f3337,plain,
    ( e10 = e12
    | ~ spl36_236
    | ~ spl36_275 ),
    inference(forward_demodulation,[],[f2000,f2256]) ).

fof(f3339,plain,
    ( $false
    | ~ spl36_236
    | ~ spl36_275 ),
    inference(forward_subsumption_resolution,[],[f3337,f217]) ).

fof(f3340,plain,
    ( ~ spl36_236
    | ~ spl36_275 ),
    inference(avatar_contradiction_clause,[],[f3339]) ).

fof(f3346,plain,
    ( e10 = e12
    | ~ spl36_204
    | ~ spl36_273 ),
    inference(superposition,[],[f2247,f1827]) ).

fof(f3350,plain,
    ( $false
    | ~ spl36_204
    | ~ spl36_273 ),
    inference(forward_subsumption_resolution,[],[f3346,f217]) ).

fof(f3351,plain,
    ( ~ spl36_204
    | ~ spl36_273 ),
    inference(avatar_contradiction_clause,[],[f3350]) ).

fof(f3352,plain,
    ( e10 = e11
    | ~ spl36_194
    | ~ spl36_236 ),
    inference(forward_demodulation,[],[f1772,f2000]) ).

fof(f3356,plain,
    ( $false
    | ~ spl36_194
    | ~ spl36_236 ),
    inference(forward_subsumption_resolution,[],[f3352,f218]) ).

fof(f3357,plain,
    ( ~ spl36_194
    | ~ spl36_236 ),
    inference(avatar_contradiction_clause,[],[f3356]) ).

fof(f3363,plain,
    ( e11 = e13
    | ~ spl36_194
    | ~ spl36_279 ),
    inference(superposition,[],[f2274,f1772]) ).

fof(f3369,plain,
    ( $false
    | ~ spl36_194
    | ~ spl36_279 ),
    inference(forward_subsumption_resolution,[],[f3363,f214]) ).

fof(f3370,plain,
    ( ~ spl36_194
    | ~ spl36_279 ),
    inference(avatar_contradiction_clause,[],[f3369]) ).

fof(f3372,plain,
    ( e11 = e12
    | ~ spl36_217
    | ~ spl36_237 ),
    inference(forward_demodulation,[],[f1896,f2006]) ).

fof(f3374,plain,
    ( $false
    | ~ spl36_217
    | ~ spl36_237 ),
    inference(forward_subsumption_resolution,[],[f3372,f215]) ).

fof(f3375,plain,
    ( ~ spl36_217
    | ~ spl36_237 ),
    inference(avatar_contradiction_clause,[],[f3374]) ).

fof(f3381,plain,
    ( e11 = e12
    | ~ spl36_205
    | ~ spl36_216 ),
    inference(superposition,[],[f1892,f1832]) ).

fof(f3387,plain,
    ( $false
    | ~ spl36_205
    | ~ spl36_216 ),
    inference(forward_subsumption_resolution,[],[f3381,f215]) ).

fof(f3388,plain,
    ( ~ spl36_205
    | ~ spl36_216 ),
    inference(avatar_contradiction_clause,[],[f3387]) ).

fof(f3400,plain,
    ( e12 = e13
    | ~ spl36_235
    | ~ spl36_274 ),
    inference(forward_demodulation,[],[f2251,f1995]) ).

fof(f3401,plain,
    ( $false
    | ~ spl36_235
    | ~ spl36_274 ),
    inference(forward_subsumption_resolution,[],[f3400,f213]) ).

fof(f3402,plain,
    ( ~ spl36_235
    | ~ spl36_274 ),
    inference(avatar_contradiction_clause,[],[f3401]) ).

fof(f3437,plain,
    ( e11 = e12
    | ~ spl36_270
    | ~ spl36_274 ),
    inference(superposition,[],[f2251,f2233]) ).

fof(f3443,plain,
    ( $false
    | ~ spl36_270
    | ~ spl36_274 ),
    inference(forward_subsumption_resolution,[],[f3437,f215]) ).

fof(f3444,plain,
    ( ~ spl36_270
    | ~ spl36_274 ),
    inference(avatar_contradiction_clause,[],[f3443]) ).

fof(f3452,plain,
    ( e11 = e12
    | ~ spl36_230
    | ~ spl36_291 ),
    inference(forward_demodulation,[],[f2333,f1965]) ).

fof(f3453,plain,
    ( $false
    | ~ spl36_230
    | ~ spl36_291 ),
    inference(forward_subsumption_resolution,[],[f3452,f215]) ).

fof(f3454,plain,
    ( ~ spl36_230
    | ~ spl36_291 ),
    inference(avatar_contradiction_clause,[],[f3453]) ).

fof(f3463,plain,
    ( e11 = e13
    | ~ spl36_269
    | ~ spl36_278 ),
    inference(superposition,[],[f2269,f2229]) ).

fof(f3469,plain,
    ( $false
    | ~ spl36_269
    | ~ spl36_278 ),
    inference(forward_subsumption_resolution,[],[f3463,f214]) ).

fof(f3470,plain,
    ( ~ spl36_269
    | ~ spl36_278 ),
    inference(avatar_contradiction_clause,[],[f3469]) ).

fof(f3471,plain,
    ( e10 = e12
    | ~ spl36_226
    | ~ spl36_274 ),
    inference(forward_demodulation,[],[f1947,f2251]) ).

fof(f3472,plain,
    ( e11 = e13
    | ~ spl36_198
    | ~ spl36_272 ),
    inference(forward_demodulation,[],[f2242,f1790]) ).

fof(f3473,plain,
    ( $false
    | ~ spl36_226
    | ~ spl36_274 ),
    inference(forward_subsumption_resolution,[],[f3471,f217]) ).

fof(f3474,plain,
    ( ~ spl36_226
    | ~ spl36_274 ),
    inference(avatar_contradiction_clause,[],[f3473]) ).

fof(f3475,plain,
    ( $false
    | ~ spl36_198
    | ~ spl36_272 ),
    inference(forward_subsumption_resolution,[],[f3472,f214]) ).

fof(f3476,plain,
    ( ~ spl36_198
    | ~ spl36_272 ),
    inference(avatar_contradiction_clause,[],[f3475]) ).

fof(f3509,plain,
    ( e10 = e12
    | ~ spl36_237
    | ~ spl36_281 ),
    inference(forward_demodulation,[],[f2283,f2006]) ).

fof(f3510,plain,
    ( $false
    | ~ spl36_237
    | ~ spl36_281 ),
    inference(forward_subsumption_resolution,[],[f3509,f217]) ).

fof(f3511,plain,
    ( ~ spl36_237
    | ~ spl36_281 ),
    inference(avatar_contradiction_clause,[],[f3510]) ).

fof(f3563,plain,
    ( e12 = e13
    | ~ spl36_237
    | ~ spl36_287 ),
    inference(superposition,[],[f2313,f2006]) ).

fof(f3568,plain,
    ( $false
    | ~ spl36_237
    | ~ spl36_287 ),
    inference(forward_subsumption_resolution,[],[f3563,f213]) ).

fof(f3569,plain,
    ( ~ spl36_237
    | ~ spl36_287 ),
    inference(avatar_contradiction_clause,[],[f3568]) ).

fof(f3570,plain,
    ( e11 = e12
    | ~ spl36_243
    | ~ spl36_286 ),
    inference(forward_demodulation,[],[f2037,f2308]) ).

fof(f3572,plain,
    ( $false
    | ~ spl36_243
    | ~ spl36_286 ),
    inference(forward_subsumption_resolution,[],[f3570,f215]) ).

fof(f3573,plain,
    ( ~ spl36_243
    | ~ spl36_286 ),
    inference(avatar_contradiction_clause,[],[f3572]) ).

fof(f3575,plain,
    ( e11 = e12
    | ~ spl36_244
    | ~ spl36_292 ),
    inference(forward_demodulation,[],[f2338,f2061]) ).

fof(f3576,plain,
    ( $false
    | ~ spl36_244
    | ~ spl36_292 ),
    inference(forward_subsumption_resolution,[],[f3575,f215]) ).

fof(f3577,plain,
    ( ~ spl36_244
    | ~ spl36_292 ),
    inference(avatar_contradiction_clause,[],[f3576]) ).

fof(f3579,plain,
    ( e11 = e13
    | ~ spl36_241
    | ~ spl36_291 ),
    inference(forward_demodulation,[],[f2333,f2027]) ).

fof(f3582,plain,
    ( $false
    | ~ spl36_241
    | ~ spl36_291 ),
    inference(forward_subsumption_resolution,[],[f3579,f214]) ).

fof(f3583,plain,
    ( ~ spl36_241
    | ~ spl36_291 ),
    inference(avatar_contradiction_clause,[],[f3582]) ).

fof(f3599,plain,
    ( e10 = e12
    | ~ spl36_193
    | ~ spl36_216 ),
    inference(forward_demodulation,[],[f1768,f1892]) ).

fof(f3601,plain,
    ( $false
    | ~ spl36_193
    | ~ spl36_216 ),
    inference(forward_subsumption_resolution,[],[f3599,f217]) ).

fof(f3602,plain,
    ( ~ spl36_193
    | ~ spl36_216 ),
    inference(avatar_contradiction_clause,[],[f3601]) ).

fof(f3622,plain,
    ( e10 = e13
    | ~ spl36_215
    | ~ spl36_278 ),
    inference(superposition,[],[f2269,f1887]) ).

fof(f3627,plain,
    ( $false
    | ~ spl36_215
    | ~ spl36_278 ),
    inference(forward_subsumption_resolution,[],[f3622,f216]) ).

fof(f3628,plain,
    ( ~ spl36_215
    | ~ spl36_278 ),
    inference(avatar_contradiction_clause,[],[f3627]) ).

fof(f3643,plain,
    ( e10 = e11
    | ~ spl36_217
    | ~ spl36_281 ),
    inference(superposition,[],[f2283,f1896]) ).

fof(f3648,plain,
    ( $false
    | ~ spl36_217
    | ~ spl36_281 ),
    inference(forward_subsumption_resolution,[],[f3643,f218]) ).

fof(f3649,plain,
    ( ~ spl36_217
    | ~ spl36_281 ),
    inference(avatar_contradiction_clause,[],[f3648]) ).

fof(f3652,plain,
    ( e12 = e13
    | ~ spl36_238
    | ~ spl36_285 ),
    inference(forward_demodulation,[],[f2303,f2011]) ).

fof(f3653,plain,
    ( $false
    | ~ spl36_238
    | ~ spl36_285 ),
    inference(forward_subsumption_resolution,[],[f3652,f213]) ).

fof(f3654,plain,
    ( ~ spl36_238
    | ~ spl36_285 ),
    inference(avatar_contradiction_clause,[],[f3653]) ).

fof(f3667,plain,
    ( e10 = e11
    | ~ spl36_243
    | ~ spl36_284 ),
    inference(superposition,[],[f2296,f2037]) ).

fof(f3672,plain,
    ( $false
    | ~ spl36_243
    | ~ spl36_284 ),
    inference(forward_subsumption_resolution,[],[f3667,f218]) ).

fof(f3673,plain,
    ( ~ spl36_243
    | ~ spl36_284 ),
    inference(avatar_contradiction_clause,[],[f3672]) ).

fof(f3724,plain,
    ( e12 = e13
    | ~ spl36_207
    | ~ spl36_288 ),
    inference(forward_demodulation,[],[f1841,f2318]) ).

fof(f3725,plain,
    ( e11 = e12
    | ~ spl36_233
    | ~ spl36_273 ),
    inference(forward_demodulation,[],[f1985,f2247]) ).

fof(f3727,plain,
    ( $false
    | ~ spl36_207
    | ~ spl36_288 ),
    inference(forward_subsumption_resolution,[],[f3724,f213]) ).

fof(f3728,plain,
    ( ~ spl36_207
    | ~ spl36_288 ),
    inference(avatar_contradiction_clause,[],[f3727]) ).

fof(f3729,plain,
    ( $false
    | ~ spl36_233
    | ~ spl36_273 ),
    inference(forward_subsumption_resolution,[],[f3725,f215]) ).

fof(f3730,plain,
    ( ~ spl36_233
    | ~ spl36_273 ),
    inference(avatar_contradiction_clause,[],[f3729]) ).

fof(f3884,plain,
    ( e20 = h3(e10)
    | ~ spl36_141 ),
    inference(forward_demodulation,[],[f471,f1454]) ).

fof(f3887,plain,
    ( spl36_25
    | ~ spl36_141 ),
    inference(avatar_split_clause,[],[f3884,f1453,f906]) ).

fof(f3888,plain,
    ( op2(e20,e20) != h3(op1(e10,e10))
    | ~ spl36_25
    | spl36_89 ),
    inference(superposition,[],[f1209,f907]) ).

fof(f3889,plain,
    ( op2(e20,e20) != h3(e10)
    | ~ spl36_25
    | spl36_89
    | ~ spl36_192 ),
    inference(forward_demodulation,[],[f3888,f1763]) ).

fof(f3890,plain,
    ( e20 != op2(e20,e20)
    | ~ spl36_25
    | spl36_89
    | ~ spl36_192 ),
    inference(forward_demodulation,[],[f3889,f907]) ).

fof(f3894,plain,
    ( h3(op1(e10,e11)) != op2(e20,h3(e11))
    | ~ spl36_25
    | spl36_90 ),
    inference(forward_demodulation,[],[f1213,f907]) ).

fof(f3896,plain,
    ( h3(e11) != op2(e20,h3(e11))
    | ~ spl36_25
    | spl36_90
    | ~ spl36_233 ),
    inference(forward_demodulation,[],[f3894,f1985]) ).

fof(f3904,plain,
    ( e10 != op1(e13,e12)
    | ~ spl36_197 ),
    inference(forward_demodulation,[],[f117,f1786]) ).

fof(f3913,plain,
    ( e11 != op1(e12,e12)
    | ~ spl36_291 ),
    inference(forward_demodulation,[],[f123,f2333]) ).

fof(f3914,plain,
    ( e11 != op1(e12,e11)
    | ~ spl36_291 ),
    inference(forward_demodulation,[],[f124,f2333]) ).

fof(f3915,plain,
    ( e10 != op1(e12,e11)
    | ~ spl36_195 ),
    inference(forward_demodulation,[],[f125,f1777]) ).

fof(f3917,plain,
    ( e11 != op1(e12,e10)
    | ~ spl36_291 ),
    inference(forward_demodulation,[],[f126,f2333]) ).

fof(f3927,plain,
    ( e12 != op1(e10,e12)
    | ~ spl36_274 ),
    inference(forward_demodulation,[],[f135,f2251]) ).

fof(f3934,plain,
    ( e10 != op1(e11,e13)
    | ~ spl36_197 ),
    inference(forward_demodulation,[],[f142,f1786]) ).

fof(f3936,plain,
    ( e11 != op1(e11,e13)
    | ~ spl36_291 ),
    inference(forward_demodulation,[],[f143,f2333]) ).

fof(f3951,plain,
    ( e13 != op1(e10,e11)
    | ~ spl36_288 ),
    inference(forward_demodulation,[],[f157,f2318]) ).

fof(f3953,plain,
    ( e13 != op1(e12,e10)
    | ~ spl36_198 ),
    inference(forward_demodulation,[],[f159,f1790]) ).

fof(f3990,plain,
    ( e20 != op2(e22,e23)
    | ~ spl36_143 ),
    inference(forward_demodulation,[],[f189,f1463]) ).

fof(f3999,plain,
    ( e21 != op2(e21,e22)
    | ~ spl36_268 ),
    inference(forward_demodulation,[],[f196,f2194]) ).

fof(f4001,plain,
    ( e21 != op2(e20,e22)
    | ~ spl36_268 ),
    inference(forward_demodulation,[],[f198,f2194]) ).

fof(f4006,plain,
    ( e22 != op2(e21,e21)
    | ~ spl36_262 ),
    inference(forward_demodulation,[],[f202,f2164]) ).

fof(f4011,plain,
    ( e20 != op2(e20,e21)
    | ~ spl36_139 ),
    inference(forward_demodulation,[],[f206,f1445]) ).

fof(f4019,plain,
    ( e12 = op1(e10,e13)
    | ~ spl36_197 ),
    inference(forward_demodulation,[],[f455,f1786]) ).

fof(f4020,plain,
    ( e22 = op2(e20,e23)
    | ~ spl36_143 ),
    inference(forward_demodulation,[],[f458,f1463]) ).

fof(f4024,plain,
    ( e21 != op2(e21,e22)
    | ~ spl36_140 ),
    inference(forward_demodulation,[],[f181,f1449]) ).

fof(f4027,plain,
    ( e20 != op2(e20,e21)
    | ~ spl36_138 ),
    inference(forward_demodulation,[],[f188,f1440]) ).

fof(f4028,plain,
    ( spl36_250
    | ~ spl36_143 ),
    inference(avatar_split_clause,[],[f4020,f1462,f2105]) ).

fof(f4032,plain,
    ( ~ spl36_265
    | ~ spl36_143 ),
    inference(avatar_split_clause,[],[f3990,f1462,f2177]) ).

fof(f4036,plain,
    ( ~ spl36_245
    | ~ spl36_268 ),
    inference(avatar_split_clause,[],[f4001,f2192,f2083]) ).

fof(f4080,plain,
    ( op2(e20,e22) = h3(e12)
    | ~ spl36_141 ),
    inference(forward_demodulation,[],[f469,f1454]) ).

fof(f4081,plain,
    ( e23 = h3(e12)
    | ~ spl36_141
    | ~ spl36_254 ),
    inference(forward_demodulation,[],[f4080,f2125]) ).

fof(f4082,plain,
    ( spl36_111
    | ~ spl36_141
    | ~ spl36_254 ),
    inference(avatar_split_clause,[],[f4081,f2123,f1453,f1303]) ).

fof(f4088,plain,
    ( e11 = op1(op1(e10,e13),e13)
    | ~ spl36_197 ),
    inference(forward_demodulation,[],[f456,f1786]) ).

fof(f4089,plain,
    ( e11 = op1(e12,e13)
    | ~ spl36_197
    | ~ spl36_274 ),
    inference(forward_demodulation,[],[f4088,f2251]) ).

fof(f4425,plain,
    ( h3(e11) = op2(op2(e20,e22),e22)
    | ~ spl36_141 ),
    inference(forward_demodulation,[],[f470,f1454]) ).

fof(f4426,plain,
    ( op2(e23,e22) = h3(e11)
    | ~ spl36_141
    | ~ spl36_254 ),
    inference(forward_demodulation,[],[f4425,f2125]) ).

fof(f4427,plain,
    ( e21 = h3(e11)
    | ~ spl36_141
    | ~ spl36_254
    | ~ spl36_268 ),
    inference(forward_demodulation,[],[f4426,f2194]) ).

fof(f4428,plain,
    ( spl36_29
    | ~ spl36_141
    | ~ spl36_254
    | ~ spl36_268 ),
    inference(avatar_split_clause,[],[f4427,f2192,f2123,f1453,f925]) ).

fof(f4429,plain,
    ( e21 != op2(e20,e21)
    | ~ spl36_25
    | ~ spl36_29
    | spl36_90
    | ~ spl36_233 ),
    inference(superposition,[],[f3896,f926]) ).

fof(f4431,plain,
    ( $false
    | ~ spl36_25
    | ~ spl36_29
    | spl36_90
    | ~ spl36_179
    | ~ spl36_233 ),
    inference(forward_subsumption_resolution,[],[f4429,f1662]) ).

fof(f4432,plain,
    ( ~ spl36_25
    | ~ spl36_29
    | spl36_90
    | ~ spl36_179
    | ~ spl36_233 ),
    inference(avatar_contradiction_clause,[],[f4431]) ).

fof(f4434,plain,
    ( h3(op1(e10,e12)) != op2(h3(e10),e23)
    | spl36_91
    | ~ spl36_111 ),
    inference(forward_demodulation,[],[f1217,f1304]) ).

fof(f4436,plain,
    ( op2(e20,e23) != h3(op1(e10,e12))
    | ~ spl36_25
    | spl36_91
    | ~ spl36_111 ),
    inference(forward_demodulation,[],[f4434,f907]) ).

fof(f4438,plain,
    ( op2(e20,e23) != h3(e13)
    | ~ spl36_25
    | spl36_91
    | ~ spl36_111
    | ~ spl36_278 ),
    inference(forward_demodulation,[],[f4436,f2269]) ).

fof(f4440,plain,
    ( e22 != op2(e20,e23)
    | ~ spl36_25
    | spl36_91
    | ~ spl36_105
    | ~ spl36_111
    | ~ spl36_278 ),
    inference(forward_demodulation,[],[f4438,f1272]) ).

fof(f4441,plain,
    ( $false
    | ~ spl36_25
    | spl36_91
    | ~ spl36_105
    | ~ spl36_111
    | ~ spl36_250
    | ~ spl36_278 ),
    inference(forward_subsumption_resolution,[],[f4440,f2107]) ).

fof(f4442,plain,
    ( ~ spl36_25
    | spl36_91
    | ~ spl36_105
    | ~ spl36_111
    | ~ spl36_250
    | ~ spl36_278 ),
    inference(avatar_contradiction_clause,[],[f4441]) ).

fof(f4444,plain,
    ( h3(op1(e10,e13)) != op2(h3(e10),e22)
    | spl36_92
    | ~ spl36_105 ),
    inference(forward_demodulation,[],[f1221,f1272]) ).

fof(f4446,plain,
    ( op2(e20,e22) != h3(op1(e10,e13))
    | ~ spl36_25
    | spl36_92
    | ~ spl36_105 ),
    inference(forward_demodulation,[],[f4444,f907]) ).

fof(f4448,plain,
    ( op2(e20,e22) != h3(e12)
    | ~ spl36_25
    | spl36_92
    | ~ spl36_105
    | ~ spl36_274 ),
    inference(forward_demodulation,[],[f4446,f2251]) ).

fof(f4450,plain,
    ( e23 != op2(e20,e22)
    | ~ spl36_25
    | spl36_92
    | ~ spl36_105
    | ~ spl36_111
    | ~ spl36_274 ),
    inference(forward_demodulation,[],[f4448,f1304]) ).

fof(f4451,plain,
    ( $false
    | ~ spl36_25
    | spl36_92
    | ~ spl36_105
    | ~ spl36_111
    | ~ spl36_254
    | ~ spl36_274 ),
    inference(forward_subsumption_resolution,[],[f4450,f2125]) ).

fof(f4452,plain,
    ( ~ spl36_25
    | spl36_92
    | ~ spl36_105
    | ~ spl36_111
    | ~ spl36_254
    | ~ spl36_274 ),
    inference(avatar_contradiction_clause,[],[f4451]) ).

fof(f4454,plain,
    ( h3(op1(e11,e10)) != op2(h3(e11),e20)
    | ~ spl36_25
    | spl36_93 ),
    inference(forward_demodulation,[],[f1225,f907]) ).

fof(f4456,plain,
    ( op2(e21,e20) != h3(op1(e11,e10))
    | ~ spl36_25
    | ~ spl36_29
    | spl36_93 ),
    inference(forward_demodulation,[],[f4454,f926]) ).

fof(f4458,plain,
    ( op2(e21,e20) != h3(e11)
    | ~ spl36_25
    | ~ spl36_29
    | spl36_93
    | ~ spl36_194 ),
    inference(forward_demodulation,[],[f4456,f1772]) ).

fof(f4460,plain,
    ( e21 != op2(e21,e20)
    | ~ spl36_25
    | ~ spl36_29
    | spl36_93
    | ~ spl36_194 ),
    inference(forward_demodulation,[],[f4458,f926]) ).

fof(f4461,plain,
    ( $false
    | ~ spl36_25
    | ~ spl36_29
    | spl36_93
    | ~ spl36_140
    | ~ spl36_194 ),
    inference(forward_subsumption_resolution,[],[f4460,f1449]) ).

fof(f4462,plain,
    ( ~ spl36_25
    | ~ spl36_29
    | spl36_93
    | ~ spl36_140
    | ~ spl36_194 ),
    inference(avatar_contradiction_clause,[],[f4461]) ).

fof(f4464,plain,
    ( op2(e21,e21) != h3(op1(e11,e11))
    | ~ spl36_29
    | spl36_94 ),
    inference(forward_demodulation,[],[f1229,f926]) ).

fof(f4466,plain,
    ( op2(e21,e21) != h3(e10)
    | ~ spl36_29
    | spl36_94
    | ~ spl36_193 ),
    inference(forward_demodulation,[],[f4464,f1768]) ).

fof(f4468,plain,
    ( e20 != op2(e21,e21)
    | ~ spl36_25
    | ~ spl36_29
    | spl36_94
    | ~ spl36_193 ),
    inference(forward_demodulation,[],[f4466,f907]) ).

fof(f4470,plain,
    ( $false
    | ~ spl36_25
    | ~ spl36_29
    | spl36_94
    | ~ spl36_139
    | ~ spl36_193 ),
    inference(forward_subsumption_resolution,[],[f4468,f1445]) ).

fof(f4471,plain,
    ( ~ spl36_25
    | ~ spl36_29
    | spl36_94
    | ~ spl36_139
    | ~ spl36_193 ),
    inference(avatar_contradiction_clause,[],[f4470]) ).

fof(f4473,plain,
    ( h3(op1(e11,e12)) != op2(h3(e11),e23)
    | spl36_95
    | ~ spl36_111 ),
    inference(forward_demodulation,[],[f1233,f1304]) ).

fof(f4475,plain,
    ( op2(e21,e23) != h3(op1(e11,e12))
    | ~ spl36_29
    | spl36_95
    | ~ spl36_111 ),
    inference(forward_demodulation,[],[f4473,f926]) ).

fof(f4477,plain,
    ( op2(e21,e23) != h3(e12)
    | ~ spl36_29
    | spl36_95
    | ~ spl36_111
    | ~ spl36_237 ),
    inference(forward_demodulation,[],[f4475,f2006]) ).

fof(f4478,plain,
    ( e23 != op2(e21,e23)
    | ~ spl36_29
    | spl36_95
    | ~ spl36_111
    | ~ spl36_237 ),
    inference(forward_demodulation,[],[f4477,f1304]) ).

fof(f4479,plain,
    ( $false
    | ~ spl36_29
    | spl36_95
    | ~ spl36_111
    | ~ spl36_184
    | ~ spl36_237 ),
    inference(forward_subsumption_resolution,[],[f4478,f1688]) ).

fof(f4480,plain,
    ( ~ spl36_29
    | spl36_95
    | ~ spl36_111
    | ~ spl36_184
    | ~ spl36_237 ),
    inference(avatar_contradiction_clause,[],[f4479]) ).

fof(f4482,plain,
    ( h3(op1(e11,e13)) != op2(h3(e11),e22)
    | spl36_96
    | ~ spl36_105 ),
    inference(forward_demodulation,[],[f1237,f1272]) ).

fof(f4484,plain,
    ( op2(e21,e22) != h3(op1(e11,e13))
    | ~ spl36_29
    | spl36_96
    | ~ spl36_105 ),
    inference(forward_demodulation,[],[f4482,f926]) ).

fof(f4486,plain,
    ( op2(e21,e22) != h3(e13)
    | ~ spl36_29
    | spl36_96
    | ~ spl36_105
    | ~ spl36_238 ),
    inference(forward_demodulation,[],[f4484,f2011]) ).

fof(f4488,plain,
    ( e22 != op2(e21,e22)
    | ~ spl36_29
    | spl36_96
    | ~ spl36_105
    | ~ spl36_238 ),
    inference(forward_demodulation,[],[f4486,f1272]) ).

fof(f4492,plain,
    ( h3(op1(e12,e10)) != op2(h3(e12),e20)
    | ~ spl36_25
    | spl36_97 ),
    inference(forward_demodulation,[],[f1241,f907]) ).

fof(f4494,plain,
    ( op2(e23,e20) != h3(op1(e12,e10))
    | ~ spl36_25
    | spl36_97
    | ~ spl36_111 ),
    inference(forward_demodulation,[],[f4492,f1304]) ).

fof(f4496,plain,
    ( op2(e23,e20) != h3(e12)
    | ~ spl36_25
    | spl36_97
    | ~ spl36_111
    | ~ spl36_196 ),
    inference(forward_demodulation,[],[f4494,f1781]) ).

fof(f4498,plain,
    ( e23 != op2(e23,e20)
    | ~ spl36_25
    | spl36_97
    | ~ spl36_111
    | ~ spl36_196 ),
    inference(forward_demodulation,[],[f4496,f1304]) ).

fof(f4499,plain,
    ( $false
    | ~ spl36_25
    | spl36_97
    | ~ spl36_111
    | ~ spl36_144
    | ~ spl36_196 ),
    inference(forward_subsumption_resolution,[],[f4498,f1467]) ).

fof(f4500,plain,
    ( ~ spl36_25
    | spl36_97
    | ~ spl36_111
    | ~ spl36_144
    | ~ spl36_196 ),
    inference(avatar_contradiction_clause,[],[f4499]) ).

fof(f4502,plain,
    ( h3(op1(e12,e11)) != op2(h3(e12),e21)
    | ~ spl36_29
    | spl36_98 ),
    inference(forward_demodulation,[],[f1245,f926]) ).

fof(f4504,plain,
    ( op2(e23,e21) != h3(op1(e12,e11))
    | ~ spl36_29
    | spl36_98
    | ~ spl36_111 ),
    inference(forward_demodulation,[],[f4502,f1304]) ).

fof(f4506,plain,
    ( op2(e23,e21) != h3(e13)
    | ~ spl36_29
    | spl36_98
    | ~ spl36_111
    | ~ spl36_288 ),
    inference(forward_demodulation,[],[f4504,f2318]) ).

fof(f4508,plain,
    ( e22 != op2(e23,e21)
    | ~ spl36_29
    | spl36_98
    | ~ spl36_105
    | ~ spl36_111
    | ~ spl36_288 ),
    inference(forward_demodulation,[],[f4506,f1272]) ).

fof(f4509,plain,
    ( $false
    | ~ spl36_29
    | spl36_98
    | ~ spl36_105
    | ~ spl36_111
    | ~ spl36_262
    | ~ spl36_288 ),
    inference(forward_subsumption_resolution,[],[f4508,f2164]) ).

fof(f4510,plain,
    ( ~ spl36_29
    | spl36_98
    | ~ spl36_105
    | ~ spl36_111
    | ~ spl36_262
    | ~ spl36_288 ),
    inference(avatar_contradiction_clause,[],[f4509]) ).

fof(f4512,plain,
    ( op2(e23,e23) != h3(op1(e12,e12))
    | spl36_99
    | ~ spl36_111 ),
    inference(forward_demodulation,[],[f1249,f1304]) ).

fof(f4514,plain,
    ( op2(e23,e23) != h3(e10)
    | spl36_99
    | ~ spl36_111
    | ~ spl36_195 ),
    inference(forward_demodulation,[],[f4512,f1777]) ).

fof(f4516,plain,
    ( e20 != op2(e23,e23)
    | ~ spl36_25
    | spl36_99
    | ~ spl36_111
    | ~ spl36_195 ),
    inference(forward_demodulation,[],[f4514,f907]) ).

fof(f4518,plain,
    ( $false
    | ~ spl36_25
    | spl36_99
    | ~ spl36_111
    | ~ spl36_143
    | ~ spl36_195 ),
    inference(forward_subsumption_resolution,[],[f4516,f1463]) ).

fof(f4519,plain,
    ( ~ spl36_25
    | spl36_99
    | ~ spl36_111
    | ~ spl36_143
    | ~ spl36_195 ),
    inference(avatar_contradiction_clause,[],[f4518]) ).

fof(f4521,plain,
    ( h3(op1(e12,e13)) != op2(h3(e12),e22)
    | spl36_100
    | ~ spl36_105 ),
    inference(forward_demodulation,[],[f1253,f1272]) ).

fof(f4523,plain,
    ( op2(e23,e22) != h3(op1(e12,e13))
    | spl36_100
    | ~ spl36_105
    | ~ spl36_111 ),
    inference(forward_demodulation,[],[f4521,f1304]) ).

fof(f4525,plain,
    ( op2(e23,e22) != h3(e11)
    | spl36_100
    | ~ spl36_105
    | ~ spl36_111
    | ~ spl36_291 ),
    inference(forward_demodulation,[],[f4523,f2333]) ).

fof(f4526,plain,
    ( e21 != op2(e23,e22)
    | ~ spl36_29
    | spl36_100
    | ~ spl36_105
    | ~ spl36_111
    | ~ spl36_291 ),
    inference(forward_demodulation,[],[f4525,f926]) ).

fof(f4527,plain,
    ( $false
    | ~ spl36_29
    | spl36_100
    | ~ spl36_105
    | ~ spl36_111
    | ~ spl36_268
    | ~ spl36_291 ),
    inference(forward_subsumption_resolution,[],[f4526,f2194]) ).

fof(f4528,plain,
    ( ~ spl36_29
    | spl36_100
    | ~ spl36_105
    | ~ spl36_111
    | ~ spl36_268
    | ~ spl36_291 ),
    inference(avatar_contradiction_clause,[],[f4527]) ).

fof(f4530,plain,
    ( h3(op1(e13,e10)) != op2(h3(e13),e20)
    | ~ spl36_25
    | spl36_101 ),
    inference(forward_demodulation,[],[f1257,f907]) ).

fof(f4532,plain,
    ( op2(e22,e20) != h3(op1(e13,e10))
    | ~ spl36_25
    | spl36_101
    | ~ spl36_105 ),
    inference(forward_demodulation,[],[f4530,f1272]) ).

fof(f4534,plain,
    ( op2(e22,e20) != h3(e13)
    | ~ spl36_25
    | spl36_101
    | ~ spl36_105
    | ~ spl36_198 ),
    inference(forward_demodulation,[],[f4532,f1790]) ).

fof(f4536,plain,
    ( e22 != op2(e22,e20)
    | ~ spl36_25
    | spl36_101
    | ~ spl36_105
    | ~ spl36_198 ),
    inference(forward_demodulation,[],[f4534,f1272]) ).

fof(f4537,plain,
    ( $false
    | ~ spl36_25
    | spl36_101
    | ~ spl36_105
    | ~ spl36_142
    | ~ spl36_198 ),
    inference(forward_subsumption_resolution,[],[f4536,f1458]) ).

fof(f4538,plain,
    ( ~ spl36_25
    | spl36_101
    | ~ spl36_105
    | ~ spl36_142
    | ~ spl36_198 ),
    inference(avatar_contradiction_clause,[],[f4537]) ).

fof(f4540,plain,
    ( h3(op1(e13,e11)) != op2(h3(e13),e21)
    | ~ spl36_29
    | spl36_102 ),
    inference(forward_demodulation,[],[f1261,f926]) ).

fof(f4542,plain,
    ( op2(e22,e21) != h3(op1(e13,e11))
    | ~ spl36_29
    | spl36_102
    | ~ spl36_105 ),
    inference(forward_demodulation,[],[f4540,f1272]) ).

fof(f4544,plain,
    ( op2(e22,e21) != h3(e12)
    | ~ spl36_29
    | spl36_102
    | ~ spl36_105
    | ~ spl36_286 ),
    inference(forward_demodulation,[],[f4542,f2308]) ).

fof(f4546,plain,
    ( e23 != op2(e22,e21)
    | ~ spl36_29
    | spl36_102
    | ~ spl36_105
    | ~ spl36_111
    | ~ spl36_286 ),
    inference(forward_demodulation,[],[f4544,f1304]) ).

fof(f4547,plain,
    ( $false
    | ~ spl36_29
    | spl36_102
    | ~ spl36_105
    | ~ spl36_111
    | ~ spl36_264
    | ~ spl36_286 ),
    inference(forward_subsumption_resolution,[],[f4546,f2174]) ).

fof(f4548,plain,
    ( ~ spl36_29
    | spl36_102
    | ~ spl36_105
    | ~ spl36_111
    | ~ spl36_264
    | ~ spl36_286 ),
    inference(avatar_contradiction_clause,[],[f4547]) ).

fof(f4550,plain,
    ( h3(op1(e13,e12)) != op2(h3(e13),e23)
    | spl36_103
    | ~ spl36_111 ),
    inference(forward_demodulation,[],[f1265,f1304]) ).

fof(f4552,plain,
    ( op2(e22,e23) != h3(op1(e13,e12))
    | spl36_103
    | ~ spl36_105
    | ~ spl36_111 ),
    inference(forward_demodulation,[],[f4550,f1272]) ).

fof(f4554,plain,
    ( op2(e22,e23) != h3(e11)
    | spl36_103
    | ~ spl36_105
    | ~ spl36_111
    | ~ spl36_292 ),
    inference(forward_demodulation,[],[f4552,f2338]) ).

fof(f4560,plain,
    ( op2(e22,e22) != h3(op1(e13,e13))
    | spl36_104
    | ~ spl36_105 ),
    inference(forward_demodulation,[],[f1269,f1272]) ).

fof(f4562,plain,
    ( op2(e22,e22) != h3(e10)
    | spl36_104
    | ~ spl36_105
    | ~ spl36_197 ),
    inference(forward_demodulation,[],[f4560,f1786]) ).

fof(f4564,plain,
    ( e20 != op2(e22,e22)
    | ~ spl36_25
    | spl36_104
    | ~ spl36_105
    | ~ spl36_197 ),
    inference(forward_demodulation,[],[f4562,f907]) ).

fof(f4566,plain,
    ( $false
    | ~ spl36_25
    | spl36_104
    | ~ spl36_105
    | ~ spl36_141
    | ~ spl36_197 ),
    inference(forward_subsumption_resolution,[],[f4564,f1454]) ).

fof(f4567,plain,
    ( ~ spl36_25
    | spl36_104
    | ~ spl36_105
    | ~ spl36_141
    | ~ spl36_197 ),
    inference(avatar_contradiction_clause,[],[f4566]) ).

fof(f4571,plain,
    ( ~ spl36_183
    | ~ spl36_29
    | spl36_96
    | ~ spl36_105
    | ~ spl36_238 ),
    inference(avatar_split_clause,[],[f4488,f2009,f1271,f1235,f925,f1681]) ).

fof(f4574,plain,
    ( ~ spl36_163
    | ~ spl36_268 ),
    inference(avatar_split_clause,[],[f3999,f2192,f1572]) ).

fof(f4575,plain,
    ( ~ spl36_163
    | ~ spl36_140 ),
    inference(avatar_split_clause,[],[f4024,f1448,f1572]) ).

fof(f4576,plain,
    ( ~ spl36_162
    | ~ spl36_262 ),
    inference(avatar_split_clause,[],[f4006,f2162,f1568]) ).

fof(f4588,plain,
    ( e22 = e23
    | ~ spl36_153
    | ~ spl36_264 ),
    inference(forward_demodulation,[],[f1518,f2174]) ).

fof(f4590,plain,
    ( e23 != op2(e23,e22)
    | ~ spl36_144 ),
    inference(forward_demodulation,[],[f169,f1467]) ).

fof(f4593,plain,
    ( e23 != op2(e23,e21)
    | ~ spl36_144 ),
    inference(forward_demodulation,[],[f170,f1467]) ).

fof(f4596,plain,
    ( e21 != op2(e23,e21)
    | ~ spl36_179 ),
    inference(forward_demodulation,[],[f204,f1662]) ).

fof(f4607,plain,
    ( $false
    | ~ spl36_153
    | ~ spl36_264 ),
    inference(forward_subsumption_resolution,[],[f4588,f219]) ).

fof(f4608,plain,
    ( ~ spl36_153
    | ~ spl36_264 ),
    inference(avatar_contradiction_clause,[],[f4607]) ).

fof(f4609,plain,
    ( ~ spl36_155
    | ~ spl36_144 ),
    inference(avatar_split_clause,[],[f4593,f1466,f1526]) ).

fof(f4625,plain,
    ( e21 != h3(e11)
    | spl36_103
    | ~ spl36_105
    | ~ spl36_111
    | ~ spl36_267
    | ~ spl36_292 ),
    inference(forward_demodulation,[],[f4554,f2189]) ).

fof(f4676,plain,
    ( ~ spl36_29
    | spl36_103
    | ~ spl36_105
    | ~ spl36_111
    | ~ spl36_267
    | ~ spl36_292 ),
    inference(avatar_split_clause,[],[f4625,f2336,f2187,f1303,f1271,f1263,f925]) ).

fof(f4688,plain,
    ( ~ spl36_138
    | ~ spl36_25
    | spl36_89
    | ~ spl36_192 ),
    inference(avatar_split_clause,[],[f3890,f1762,f1207,f906,f1439]) ).

fof(f4932,plain,
    ( e21 = e22
    | ~ spl36_151
    | ~ spl36_162 ),
    inference(superposition,[],[f1569,f1509]) ).

fof(f4938,plain,
    ( $false
    | ~ spl36_151
    | ~ spl36_162 ),
    inference(forward_subsumption_resolution,[],[f4932,f221]) ).

fof(f4939,plain,
    ( ~ spl36_151
    | ~ spl36_162 ),
    inference(avatar_contradiction_clause,[],[f4938]) ).

fof(f5174,plain,
    ( e20 = e22
    | ~ spl36_141
    | ~ spl36_164 ),
    inference(superposition,[],[f1578,f1454]) ).

fof(f5179,plain,
    ( $false
    | spl36_22
    | ~ spl36_105
    | ~ spl36_141
    | ~ spl36_164 ),
    inference(forward_subsumption_resolution,[],[f5174,f2681]) ).

fof(f5180,plain,
    ( spl36_22
    | ~ spl36_105
    | ~ spl36_141
    | ~ spl36_164 ),
    inference(avatar_contradiction_clause,[],[f5179]) ).

fof(f5271,plain,
    ( ~ spl36_150
    | ~ spl36_138 ),
    inference(avatar_split_clause,[],[f4027,f1439,f1503]) ).

fof(f5273,plain,
    ( ~ spl36_150
    | ~ spl36_139 ),
    inference(avatar_split_clause,[],[f4011,f1444,f1503]) ).

fof(f5278,plain,
    ( ~ spl36_189
    | ~ spl36_179 ),
    inference(avatar_split_clause,[],[f4596,f1660,f1712]) ).

fof(f5288,plain,
    ( ~ spl36_283
    | ~ spl36_195 ),
    inference(avatar_split_clause,[],[f3915,f1776,f2290]) ).

fof(f5296,plain,
    ( spl36_274
    | ~ spl36_197 ),
    inference(avatar_split_clause,[],[f4019,f1785,f2249]) ).

fof(f5301,plain,
    ( ~ spl36_166
    | ~ spl36_144 ),
    inference(avatar_split_clause,[],[f4590,f1466,f1586]) ).

fof(f5397,plain,
    ( ~ spl36_234
    | ~ spl36_274 ),
    inference(avatar_split_clause,[],[f3927,f2249,f1988]) ).

fof(f5398,plain,
    ( spl36_291
    | ~ spl36_197
    | ~ spl36_274 ),
    inference(avatar_split_clause,[],[f4089,f2249,f1785,f2331]) ).

fof(f5408,plain,
    ( ~ spl36_277
    | ~ spl36_288 ),
    inference(avatar_split_clause,[],[f3951,f2316,f2263]) ).

fof(f5419,plain,
    ( ~ spl36_240
    | ~ spl36_291 ),
    inference(avatar_split_clause,[],[f3914,f2331,f2019]) ).

fof(f5429,plain,
    ( ~ spl36_290
    | ~ spl36_197 ),
    inference(avatar_split_clause,[],[f3904,f1785,f2326]) ).

fof(f5437,plain,
    ( e12 != op1(e12,e12)
    | ~ spl36_196 ),
    inference(forward_demodulation,[],[f127,f1781]) ).

fof(f5452,plain,
    ( ~ spl36_218
    | ~ spl36_196 ),
    inference(avatar_split_clause,[],[f5437,f1780,f1900]) ).

fof(f5453,plain,
    ( ~ spl36_280
    | ~ spl36_198 ),
    inference(avatar_split_clause,[],[f3953,f1789,f2276]) ).

fof(f5454,plain,
    ( ~ spl36_282
    | ~ spl36_197 ),
    inference(avatar_split_clause,[],[f3934,f1785,f2285]) ).

fof(f5456,plain,
    ( ~ spl36_228
    | ~ spl36_291 ),
    inference(avatar_split_clause,[],[f3936,f2331,f1955]) ).

fof(f5457,plain,
    ( ~ spl36_206
    | ~ spl36_291 ),
    inference(avatar_split_clause,[],[f3913,f2331,f1836]) ).

fof(f5460,plain,
    ( ~ spl36_271
    | ~ spl36_291 ),
    inference(avatar_split_clause,[],[f3917,f2331,f2236]) ).

cnf(s20,plain,
    ( spl36_21
    | ~ spl36_25 ),
    inference(sat_conversion,[],[f909]) ).

cnf(s23,plain,
    ( ~ spl36_26
    | ~ spl36_29 ),
    inference(sat_conversion,[],[f928]) ).

cnf(s73,plain,
    ( ~ spl36_21
    | spl36_26
    | ~ spl36_89
    | ~ spl36_90
    | ~ spl36_91
    | ~ spl36_92
    | ~ spl36_93
    | ~ spl36_94
    | ~ spl36_95
    | ~ spl36_96
    | ~ spl36_97
    | ~ spl36_98
    | ~ spl36_99
    | ~ spl36_100
    | ~ spl36_101
    | ~ spl36_102
    | ~ spl36_103
    | ~ spl36_104
    | ~ spl36_105
    | ~ spl36_111 ),
    inference(sat_conversion,[],[f1306]) ).

cnf(s97,plain,
    spl36_136,
    inference(sat_conversion,[],[f1430]) ).

cnf(s98,plain,
    spl36_105,
    inference(sat_conversion,[],[f1431]) ).

cnf(s100,plain,
    spl36_2,
    inference(sat_conversion,[],[f1433]) ).

cnf(s104,plain,
    ( ~ spl36_137
    | ~ spl36_143
    | ~ spl36_144 ),
    inference(sat_conversion,[],[f1469]) ).

cnf(s108,plain,
    ( ~ spl36_143
    | ~ spl36_144
    | spl36_145 ),
    inference(sat_conversion,[],[f1477]) ).

cnf(s112,plain,
    ( ~ spl36_143
    | ~ spl36_144
    | spl36_146 ),
    inference(sat_conversion,[],[f1485]) ).

cnf(s117,plain,
    ( spl36_148
    | ~ spl36_149
    | ~ spl36_150 ),
    inference(sat_conversion,[],[f1506]) ).

cnf(s118,plain,
    ( spl36_148
    | ~ spl36_151 ),
    inference(sat_conversion,[],[f1511]) ).

cnf(s122,plain,
    ( ~ spl36_151
    | spl36_156 ),
    inference(sat_conversion,[],[f1535]) ).

cnf(s125,plain,
    ( ~ spl36_149
    | ~ spl36_150
    | spl36_157 ),
    inference(sat_conversion,[],[f1542]) ).

cnf(s126,plain,
    ( ~ spl36_151
    | spl36_157 ),
    inference(sat_conversion,[],[f1543]) ).

cnf(s129,plain,
    ( ~ spl36_149
    | ~ spl36_150
    | spl36_158 ),
    inference(sat_conversion,[],[f1550]) ).

cnf(s130,plain,
    ( ~ spl36_151
    | spl36_158 ),
    inference(sat_conversion,[],[f1551]) ).

cnf(s135,plain,
    ( spl36_159
    | ~ spl36_164 ),
    inference(sat_conversion,[],[f1580]) ).

cnf(s139,plain,
    ( ~ spl36_164
    | ~ spl36_167 ),
    inference(sat_conversion,[],[f1596]) ).

cnf(s143,plain,
    ( ~ spl36_164
    | ~ spl36_168 ),
    inference(sat_conversion,[],[f1604]) ).

cnf(s147,plain,
    ( ~ spl36_164
    | spl36_169 ),
    inference(sat_conversion,[],[f1612]) ).

cnf(s154,plain,
    ( ~ spl36_173
    | ~ spl36_174
    | ~ spl36_178 ),
    inference(sat_conversion,[],[f1655]) ).

cnf(s160,plain,
    ( spl36_147
    | spl36_181 ),
    inference(sat_conversion,[],[f1673]) ).

cnf(s161,plain,
    ( spl36_148
    | spl36_182 ),
    inference(sat_conversion,[],[f1678]) ).

cnf(s162,plain,
    ( spl36_151
    | spl36_156 ),
    inference(sat_conversion,[],[f1679]) ).

cnf(s163,plain,
    ( spl36_157
    | spl36_183 ),
    inference(sat_conversion,[],[f1684]) ).

cnf(s164,plain,
    ( spl36_158
    | spl36_184 ),
    inference(sat_conversion,[],[f1689]) ).

cnf(s165,plain,
    ( spl36_159
    | spl36_185 ),
    inference(sat_conversion,[],[f1694]) ).

cnf(s166,plain,
    ( ~ spl36_167
    | spl36_186 ),
    inference(sat_conversion,[],[f1699]) ).

cnf(s167,plain,
    ( spl36_164
    | ~ spl36_168 ),
    inference(sat_conversion,[],[f1700]) ).

cnf(s168,plain,
    ( spl36_169
    | spl36_187 ),
    inference(sat_conversion,[],[f1705]) ).

cnf(s169,plain,
    ( ~ spl36_170
    | spl36_188 ),
    inference(sat_conversion,[],[f1710]) ).

cnf(s170,plain,
    ( ~ spl36_178
    | spl36_189 ),
    inference(sat_conversion,[],[f1715]) ).

cnf(s179,plain,
    ( spl36_137
    | ~ spl36_145
    | ~ spl36_146
    | ~ spl36_147
    | ~ spl36_148
    | ~ spl36_156
    | ~ spl36_157
    | ~ spl36_158
    | ~ spl36_159
    | spl36_167
    | spl36_168
    | ~ spl36_169
    | spl36_170
    | ~ spl36_173
    | ~ spl36_174
    | spl36_178 ),
    inference(sat_conversion,[],[f1724]) ).

cnf(s194,plain,
    ( spl36_137
    | ~ spl36_145
    | ~ spl36_146
    | ~ spl36_147
    | ~ spl36_148
    | ~ spl36_156
    | ~ spl36_157
    | ~ spl36_158
    | ~ spl36_159
    | spl36_167
    | spl36_168
    | ~ spl36_169
    | spl36_170
    | spl36_177
    | spl36_178
    | spl36_190 ),
    inference(sat_conversion,[],[f1743]) ).

cnf(s195,plain,
    ( spl36_138
    | spl36_151
    | spl36_164
    | spl36_177 ),
    inference(sat_conversion,[],[f1744]) ).

cnf(s196,plain,
    ( ~ spl36_149
    | spl36_150 ),
    inference(sat_conversion,[],[f1745]) ).

cnf(s197,plain,
    ( ~ spl36_160
    | spl36_161 ),
    inference(sat_conversion,[],[f1746]) ).

cnf(s198,plain,
    ( ~ spl36_171
    | spl36_172 ),
    inference(sat_conversion,[],[f1747]) ).

cnf(s199,plain,
    ( ~ spl36_139
    | spl36_140 ),
    inference(sat_conversion,[],[f1748]) ).

cnf(s200,plain,
    ( ~ spl36_162
    | spl36_163 ),
    inference(sat_conversion,[],[f1749]) ).

cnf(s201,plain,
    ( ~ spl36_173
    | spl36_174 ),
    inference(sat_conversion,[],[f1750]) ).

cnf(s202,plain,
    ( ~ spl36_141
    | spl36_142 ),
    inference(sat_conversion,[],[f1751]) ).

cnf(s203,plain,
    ( ~ spl36_152
    | spl36_153 ),
    inference(sat_conversion,[],[f1752]) ).

cnf(s204,plain,
    ( ~ spl36_175
    | spl36_176 ),
    inference(sat_conversion,[],[f1753]) ).

cnf(s205,plain,
    ( ~ spl36_143
    | spl36_144 ),
    inference(sat_conversion,[],[f1754]) ).

cnf(s206,plain,
    ( ~ spl36_154
    | spl36_155 ),
    inference(sat_conversion,[],[f1755]) ).

cnf(s207,plain,
    ( ~ spl36_165
    | spl36_166 ),
    inference(sat_conversion,[],[f1756]) ).

cnf(s211,plain,
    ( spl36_191
    | ~ spl36_197
    | ~ spl36_198 ),
    inference(sat_conversion,[],[f1792]) ).

cnf(s215,plain,
    ( ~ spl36_197
    | ~ spl36_198
    | ~ spl36_199 ),
    inference(sat_conversion,[],[f1800]) ).

cnf(s224,plain,
    ( ~ spl36_202
    | ~ spl36_203
    | ~ spl36_204 ),
    inference(sat_conversion,[],[f1829]) ).

cnf(s228,plain,
    ( ~ spl36_203
    | ~ spl36_204
    | ~ spl36_210 ),
    inference(sat_conversion,[],[f1857]) ).

cnf(s232,plain,
    ( ~ spl36_203
    | ~ spl36_204
    | spl36_211 ),
    inference(sat_conversion,[],[f1865]) ).

cnf(s236,plain,
    ( ~ spl36_203
    | ~ spl36_204
    | spl36_212 ),
    inference(sat_conversion,[],[f1873]) ).

cnf(s242,plain,
    ( ~ spl36_213
    | ~ spl36_218 ),
    inference(sat_conversion,[],[f1903]) ).

cnf(s250,plain,
    ( ~ spl36_218
    | spl36_222 ),
    inference(sat_conversion,[],[f1927]) ).

cnf(s263,plain,
    ( ~ spl36_231
    | ~ spl36_232 ),
    inference(sat_conversion,[],[f1980]) ).

cnf(s266,plain,
    ( spl36_200
    | spl36_234 ),
    inference(sat_conversion,[],[f1991]) ).

cnf(s267,plain,
    ( ~ spl36_201
    | spl36_235 ),
    inference(sat_conversion,[],[f1996]) ).

cnf(s272,plain,
    ( ~ spl36_213
    | spl36_239 ),
    inference(sat_conversion,[],[f2017]) ).

cnf(s273,plain,
    ( spl36_221
    | spl36_240 ),
    inference(sat_conversion,[],[f2022]) ).

cnf(s274,plain,
    ( spl36_218
    | spl36_222 ),
    inference(sat_conversion,[],[f2023]) ).

cnf(s275,plain,
    ( spl36_223
    | spl36_241 ),
    inference(sat_conversion,[],[f2028]) ).

cnf(s276,plain,
    ( spl36_224
    | spl36_242 ),
    inference(sat_conversion,[],[f2033]) ).

cnf(s277,plain,
    ( ~ spl36_232
    | spl36_243 ),
    inference(sat_conversion,[],[f2038]) ).

cnf(s293,plain,
    ( ~ spl36_191
    | spl36_199
    | ~ spl36_200
    | spl36_201
    | spl36_202
    | spl36_210
    | ~ spl36_211
    | ~ spl36_212
    | spl36_213
    | ~ spl36_221
    | ~ spl36_222
    | ~ spl36_223
    | ~ spl36_224
    | ~ spl36_231
    | spl36_232 ),
    inference(sat_conversion,[],[f2054]) ).

cnf(s301,plain,
    ( ~ spl36_191
    | spl36_199
    | ~ spl36_200
    | spl36_201
    | spl36_202
    | spl36_210
    | ~ spl36_211
    | ~ spl36_212
    | spl36_213
    | ~ spl36_221
    | ~ spl36_222
    | ~ spl36_223
    | ~ spl36_224
    | spl36_231
    | spl36_232
    | spl36_244 ),
    inference(sat_conversion,[],[f2066]) ).

cnf(s302,plain,
    ( spl36_192
    | spl36_205
    | spl36_218
    | spl36_231 ),
    inference(sat_conversion,[],[f2067]) ).

cnf(s304,plain,
    ( ~ spl36_214
    | spl36_215 ),
    inference(sat_conversion,[],[f2069]) ).

cnf(s305,plain,
    ( ~ spl36_225
    | spl36_226 ),
    inference(sat_conversion,[],[f2070]) ).

cnf(s307,plain,
    ( ~ spl36_216
    | spl36_217 ),
    inference(sat_conversion,[],[f2072]) ).

cnf(s308,plain,
    ( ~ spl36_227
    | spl36_228 ),
    inference(sat_conversion,[],[f2073]) ).

cnf(s309,plain,
    ( ~ spl36_195
    | spl36_196 ),
    inference(sat_conversion,[],[f2074]) ).

cnf(s311,plain,
    ( ~ spl36_229
    | spl36_230 ),
    inference(sat_conversion,[],[f2076]) ).

cnf(s312,plain,
    ( ~ spl36_197
    | spl36_198 ),
    inference(sat_conversion,[],[f2077]) ).

cnf(s315,plain,
    ( spl36_138
    | spl36_150
    | spl36_161
    | spl36_172 ),
    inference(sat_conversion,[],[f2080]) ).

cnf(s317,plain,
    ( spl36_149
    | spl36_179
    | spl36_245
    | spl36_246 ),
    inference(sat_conversion,[],[f2090]) ).

cnf(s318,plain,
    ( spl36_140
    | spl36_149
    | spl36_247
    | spl36_248 ),
    inference(sat_conversion,[],[f2099]) ).

cnf(s320,plain,
    ( spl36_142
    | spl36_160
    | spl36_251
    | spl36_252 ),
    inference(sat_conversion,[],[f2117]) ).

cnf(s321,plain,
    ( spl36_171
    | spl36_181
    | spl36_253
    | spl36_254 ),
    inference(sat_conversion,[],[f2126]) ).

cnf(s323,plain,
    ( spl36_139
    | spl36_182
    | spl36_257
    | spl36_258 ),
    inference(sat_conversion,[],[f2144]) ).

cnf(s324,plain,
    ( spl36_139
    | spl36_150
    | spl36_259
    | spl36_260 ),
    inference(sat_conversion,[],[f2153]) ).

cnf(s327,plain,
    ( spl36_162
    | spl36_183
    | spl36_251
    | spl36_261 ),
    inference(sat_conversion,[],[f2160]) ).

cnf(s328,plain,
    ( spl36_153
    | spl36_162
    | spl36_249
    | spl36_262 ),
    inference(sat_conversion,[],[f2165]) ).

cnf(s329,plain,
    ( spl36_173
    | spl36_184
    | spl36_255
    | spl36_263 ),
    inference(sat_conversion,[],[f2170]) ).

cnf(s330,plain,
    ( spl36_155
    | spl36_173
    | spl36_253
    | spl36_264 ),
    inference(sat_conversion,[],[f2175]) ).

cnf(s331,plain,
    ( spl36_141
    | spl36_185
    | spl36_259
    | spl36_265 ),
    inference(sat_conversion,[],[f2180]) ).

cnf(s332,plain,
    ( spl36_141
    | spl36_161
    | spl36_257
    | spl36_266 ),
    inference(sat_conversion,[],[f2185]) ).

cnf(s333,plain,
    ( spl36_152
    | spl36_186
    | spl36_247
    | spl36_267 ),
    inference(sat_conversion,[],[f2190]) ).

cnf(s335,plain,
    ( spl36_142
    | spl36_153
    | spl36_164
    | spl36_176 ),
    inference(sat_conversion,[],[f2196]) ).

cnf(s338,plain,
    ( spl36_166
    | spl36_175
    | spl36_254
    | spl36_263 ),
    inference(sat_conversion,[],[f2199]) ).

cnf(s341,plain,
    ( spl36_154
    | spl36_189
    | spl36_248
    | spl36_268 ),
    inference(sat_conversion,[],[f2202]) ).

cnf(s342,plain,
    ( spl36_154
    | spl36_174
    | spl36_246
    | spl36_267 ),
    inference(sat_conversion,[],[f2203]) ).

cnf(s343,plain,
    ( spl36_165
    | spl36_190
    | spl36_252
    | spl36_262 ),
    inference(sat_conversion,[],[f2204]) ).

cnf(s346,plain,
    ( spl36_177
    | spl36_181
    | spl36_184
    | spl36_187 ),
    inference(sat_conversion,[],[f2207]) ).

cnf(s347,plain,
    ( spl36_138
    | spl36_149
    | spl36_160
    | spl36_171 ),
    inference(sat_conversion,[],[f2208]) ).

cnf(s352,plain,
    ( spl36_139
    | spl36_151
    | spl36_162
    | spl36_173 ),
    inference(sat_conversion,[],[f2213]) ).

cnf(s363,plain,
    ( spl36_192
    | spl36_204
    | spl36_215
    | spl36_226 ),
    inference(sat_conversion,[],[f2224]) ).

cnf(s364,plain,
    ( spl36_192
    | spl36_236
    | spl36_239
    | spl36_242 ),
    inference(sat_conversion,[],[f2225]) ).

cnf(s365,plain,
    ( spl36_203
    | spl36_233
    | spl36_269
    | spl36_270 ),
    inference(sat_conversion,[],[f2234]) ).

cnf(s366,plain,
    ( spl36_194
    | spl36_203
    | spl36_271
    | spl36_272 ),
    inference(sat_conversion,[],[f2243]) ).

cnf(s368,plain,
    ( spl36_196
    | spl36_214
    | spl36_275
    | spl36_276 ),
    inference(sat_conversion,[],[f2261]) ).

cnf(s369,plain,
    ( spl36_225
    | spl36_235
    | spl36_277
    | spl36_278 ),
    inference(sat_conversion,[],[f2270]) ).

cnf(s371,plain,
    ( spl36_193
    | spl36_236
    | spl36_281
    | spl36_282 ),
    inference(sat_conversion,[],[f2288]) ).

cnf(s372,plain,
    ( spl36_193
    | spl36_204
    | spl36_283
    | spl36_284 ),
    inference(sat_conversion,[],[f2297]) ).

cnf(s375,plain,
    ( spl36_216
    | spl36_237
    | spl36_275
    | spl36_285 ),
    inference(sat_conversion,[],[f2304]) ).

cnf(s376,plain,
    ( spl36_207
    | spl36_216
    | spl36_273
    | spl36_286 ),
    inference(sat_conversion,[],[f2309]) ).

cnf(s377,plain,
    ( spl36_227
    | spl36_238
    | spl36_279
    | spl36_287 ),
    inference(sat_conversion,[],[f2314]) ).

cnf(s380,plain,
    ( spl36_195
    | spl36_215
    | spl36_281
    | spl36_290 ),
    inference(sat_conversion,[],[f2329]) ).

cnf(s382,plain,
    ( spl36_206
    | spl36_217
    | spl36_269
    | spl36_292 ),
    inference(sat_conversion,[],[f2339]) ).

cnf(s383,plain,
    ( spl36_196
    | spl36_207
    | spl36_218
    | spl36_230 ),
    inference(sat_conversion,[],[f2340]) ).

cnf(s384,plain,
    ( spl36_218
    | spl36_234
    | spl36_237
    | spl36_244 ),
    inference(sat_conversion,[],[f2341]) ).

cnf(s385,plain,
    ( spl36_229
    | spl36_241
    | spl36_280
    | spl36_288 ),
    inference(sat_conversion,[],[f2342]) ).

cnf(s389,plain,
    ( spl36_208
    | spl36_243
    | spl36_272
    | spl36_292 ),
    inference(sat_conversion,[],[f2346]) ).

cnf(s394,plain,
    ( spl36_231
    | spl36_235
    | spl36_238
    | spl36_241 ),
    inference(sat_conversion,[],[f2351]) ).

cnf(s395,plain,
    ( spl36_192
    | spl36_203
    | spl36_214
    | spl36_225 ),
    inference(sat_conversion,[],[f2352]) ).

cnf(s405,plain,
    ( spl36_195
    | spl36_206
    | spl36_218
    | spl36_229 ),
    inference(sat_conversion,[],[f2362]) ).

cnf(s411,plain,
    spl36_197,
    inference(sat_conversion,[],[f2372]) ).

cnf(s412,plain,
    spl36_143,
    inference(sat_conversion,[],[f2373]) ).

cnf(s421,plain,
    ( ~ spl36_176
    | ~ spl36_187 ),
    inference(sat_conversion,[],[f2411]) ).

cnf(s422,plain,
    ( spl36_32
    | ~ spl36_136
    | ~ spl36_144
    | ~ spl36_188 ),
    inference(sat_conversion,[],[f2415]) ).

cnf(s436,plain,
    ( ~ spl36_142
    | ~ spl36_247 ),
    inference(sat_conversion,[],[f2461]) ).

cnf(s437,plain,
    ( spl36_22
    | ~ spl36_105
    | ~ spl36_153
    | ~ spl36_259 ),
    inference(sat_conversion,[],[f2464]) ).

cnf(s444,plain,
    ( ~ spl36_181
    | ~ spl36_250 ),
    inference(sat_conversion,[],[f2489]) ).

cnf(s456,plain,
    ( ~ spl36_32
    | ~ spl36_136 ),
    inference(sat_conversion,[],[f2510]) ).

cnf(s461,plain,
    ( spl36_32
    | ~ spl36_136
    | ~ spl36_143
    | ~ spl36_177 ),
    inference(sat_conversion,[],[f2534]) ).

cnf(s463,plain,
    ( ~ spl36_196
    | ~ spl36_239 ),
    inference(sat_conversion,[],[f2545]) ).

cnf(s464,plain,
    ( ~ spl36_197
    | ~ spl36_208 ),
    inference(sat_conversion,[],[f2549]) ).

cnf(s468,plain,
    ( ~ spl36_198
    | ~ spl36_276 ),
    inference(sat_conversion,[],[f2565]) ).

cnf(s475,plain,
    ( ~ spl36_198
    | ~ spl36_242 ),
    inference(sat_conversion,[],[f2596]) ).

cnf(s480,plain,
    ( ~ spl36_249
    | ~ spl36_253 ),
    inference(sat_conversion,[],[f2623]) ).

cnf(s481,plain,
    ( spl36_22
    | ~ spl36_105
    | ~ spl36_183
    | ~ spl36_257 ),
    inference(sat_conversion,[],[f2629]) ).

cnf(s503,plain,
    ( ~ spl36_2
    | spl36_7
    | ~ spl36_186
    | ~ spl36_259 ),
    inference(sat_conversion,[],[f2718]) ).

cnf(s505,plain,
    ( ~ spl36_174
    | ~ spl36_261 ),
    inference(sat_conversion,[],[f2726]) ).

cnf(s506,plain,
    ( ~ spl36_176
    | ~ spl36_267 ),
    inference(sat_conversion,[],[f2730]) ).

cnf(s510,plain,
    ( ~ spl36_246
    | ~ spl36_250 ),
    inference(sat_conversion,[],[f2754]) ).

cnf(s512,plain,
    ( ~ spl36_183
    | ~ spl36_263 ),
    inference(sat_conversion,[],[f2767]) ).

cnf(s514,plain,
    ( ~ spl36_140
    | ~ spl36_255 ),
    inference(sat_conversion,[],[f2774]) ).

cnf(s515,plain,
    ( spl36_22
    | ~ spl36_105
    | ~ spl36_150
    | ~ spl36_249 ),
    inference(sat_conversion,[],[f2777]) ).

cnf(s521,plain,
    ( ~ spl36_2
    | ~ spl36_7
    | ~ spl36_144
    | spl36_155 ),
    inference(sat_conversion,[],[f2812]) ).

cnf(s529,plain,
    ( ~ spl36_2
    | spl36_7
    | ~ spl36_140
    | ~ spl36_182 ),
    inference(sat_conversion,[],[f2843]) ).

cnf(s531,plain,
    ( ~ spl36_186
    | ~ spl36_264 ),
    inference(sat_conversion,[],[f2861]) ).

cnf(s533,plain,
    ( ~ spl36_190
    | ~ spl36_268 ),
    inference(sat_conversion,[],[f2869]) ).

cnf(s535,plain,
    ( ~ spl36_245
    | ~ spl36_254 ),
    inference(sat_conversion,[],[f2876]) ).

cnf(s538,plain,
    ( spl36_22
    | ~ spl36_105
    | ~ spl36_142
    | ~ spl36_185 ),
    inference(sat_conversion,[],[f2886]) ).

cnf(s539,plain,
    ( spl36_22
    | ~ spl36_105
    | ~ spl36_190
    | ~ spl36_266 ),
    inference(sat_conversion,[],[f2888]) ).

cnf(s541,plain,
    ( spl36_32
    | ~ spl36_136
    | ~ spl36_139
    | ~ spl36_173 ),
    inference(sat_conversion,[],[f2899]) ).

cnf(s543,plain,
    ( ~ spl36_140
    | ~ spl36_251 ),
    inference(sat_conversion,[],[f2922]) ).

cnf(s545,plain,
    ( ~ spl36_179
    | ~ spl36_253 ),
    inference(sat_conversion,[],[f2934]) ).

cnf(s549,plain,
    ( ~ spl36_2
    | spl36_7
    | ~ spl36_163
    | ~ spl36_257 ),
    inference(sat_conversion,[],[f2956]) ).

cnf(s551,plain,
    ( ~ spl36_189
    | ~ spl36_262 ),
    inference(sat_conversion,[],[f2966]) ).

cnf(s552,plain,
    ( spl36_32
    | ~ spl36_136
    | ~ spl36_150
    | ~ spl36_253 ),
    inference(sat_conversion,[],[f2970]) ).

cnf(s553,plain,
    ( ~ spl36_144
    | ~ spl36_252 ),
    inference(sat_conversion,[],[f2974]) ).

cnf(s555,plain,
    ( ~ spl36_151
    | ~ spl36_173 ),
    inference(sat_conversion,[],[f2985]) ).

cnf(s557,plain,
    ( spl36_22
    | ~ spl36_105
    | ~ spl36_258
    | ~ spl36_261 ),
    inference(sat_conversion,[],[f3009]) ).

cnf(s559,plain,
    ( spl36_32
    | ~ spl36_136
    | ~ spl36_257
    | ~ spl36_263 ),
    inference(sat_conversion,[],[f3022]) ).

cnf(s560,plain,
    ( ~ spl36_144
    | ~ spl36_248 ),
    inference(sat_conversion,[],[f3026]) ).

cnf(s564,plain,
    ( spl36_22
    | ~ spl36_105
    | ~ spl36_260
    | ~ spl36_262 ),
    inference(sat_conversion,[],[f3041]) ).

cnf(s565,plain,
    ( ~ spl36_2
    | spl36_7
    | ~ spl36_185
    | ~ spl36_247 ),
    inference(sat_conversion,[],[f3055]) ).

cnf(s568,plain,
    ( spl36_22
    | ~ spl36_105
    | ~ spl36_182
    | ~ spl36_251 ),
    inference(sat_conversion,[],[f3077]) ).

cnf(s570,plain,
    ( ~ spl36_2
    | spl36_7
    | ~ spl36_174
    | ~ spl36_258 ),
    inference(sat_conversion,[],[f3085]) ).

cnf(s577,plain,
    ( ~ spl36_163
    | ~ spl36_263 ),
    inference(sat_conversion,[],[f3147]) ).

cnf(s578,plain,
    ( ~ spl36_187
    | ~ spl36_267 ),
    inference(sat_conversion,[],[f3154]) ).

cnf(s590,plain,
    ( ~ spl36_22
    | ~ spl36_105 ),
    inference(sat_conversion,[],[f3183]) ).

cnf(s592,plain,
    ( spl36_22
    | ~ spl36_105
    | ~ spl36_138
    | ~ spl36_160 ),
    inference(sat_conversion,[],[f3194]) ).

cnf(s596,plain,
    ( spl36_32
    | ~ spl36_136
    | ~ spl36_161
    | ~ spl36_254 ),
    inference(sat_conversion,[],[f3235]) ).

cnf(s597,plain,
    ( spl36_22
    | ~ spl36_105
    | ~ spl36_172
    | ~ spl36_250 ),
    inference(sat_conversion,[],[f3238]) ).

cnf(s598,plain,
    ( ~ spl36_184
    | ~ spl36_261 ),
    inference(sat_conversion,[],[f3242]) ).

cnf(s599,plain,
    ( ~ spl36_174
    | ~ spl36_184 ),
    inference(sat_conversion,[],[f3246]) ).

cnf(s600,plain,
    ( spl36_32
    | ~ spl36_136
    | ~ spl36_184
    | ~ spl36_258 ),
    inference(sat_conversion,[],[f3250]) ).

cnf(s601,plain,
    ( ~ spl36_2
    | spl36_7
    | ~ spl36_266
    | ~ spl36_268 ),
    inference(sat_conversion,[],[f3294]) ).

cnf(s603,plain,
    ( ~ spl36_194
    | ~ spl36_275 ),
    inference(sat_conversion,[],[f3303]) ).

cnf(s604,plain,
    ( ~ spl36_192
    | ~ spl36_203 ),
    inference(sat_conversion,[],[f3307]) ).

cnf(s608,plain,
    ( ~ spl36_204
    | ~ spl36_233 ),
    inference(sat_conversion,[],[f3322]) ).

cnf(s611,plain,
    ( ~ spl36_236
    | ~ spl36_275 ),
    inference(sat_conversion,[],[f3340]) ).

cnf(s613,plain,
    ( ~ spl36_204
    | ~ spl36_273 ),
    inference(sat_conversion,[],[f3351]) ).

cnf(s614,plain,
    ( ~ spl36_194
    | ~ spl36_236 ),
    inference(sat_conversion,[],[f3357]) ).

cnf(s616,plain,
    ( ~ spl36_194
    | ~ spl36_279 ),
    inference(sat_conversion,[],[f3370]) ).

cnf(s617,plain,
    ( ~ spl36_217
    | ~ spl36_237 ),
    inference(sat_conversion,[],[f3375]) ).

cnf(s620,plain,
    ( ~ spl36_205
    | ~ spl36_216 ),
    inference(sat_conversion,[],[f3388]) ).

cnf(s623,plain,
    ( ~ spl36_235
    | ~ spl36_274 ),
    inference(sat_conversion,[],[f3402]) ).

cnf(s632,plain,
    ( ~ spl36_270
    | ~ spl36_274 ),
    inference(sat_conversion,[],[f3444]) ).

cnf(s635,plain,
    ( ~ spl36_230
    | ~ spl36_291 ),
    inference(sat_conversion,[],[f3454]) ).

cnf(s637,plain,
    ( ~ spl36_269
    | ~ spl36_278 ),
    inference(sat_conversion,[],[f3470]) ).

cnf(s638,plain,
    ( ~ spl36_226
    | ~ spl36_274 ),
    inference(sat_conversion,[],[f3474]) ).

cnf(s639,plain,
    ( ~ spl36_198
    | ~ spl36_272 ),
    inference(sat_conversion,[],[f3476]) ).

cnf(s644,plain,
    ( ~ spl36_237
    | ~ spl36_281 ),
    inference(sat_conversion,[],[f3511]) ).

cnf(s656,plain,
    ( ~ spl36_237
    | ~ spl36_287 ),
    inference(sat_conversion,[],[f3569]) ).

cnf(s657,plain,
    ( ~ spl36_243
    | ~ spl36_286 ),
    inference(sat_conversion,[],[f3573]) ).

cnf(s658,plain,
    ( ~ spl36_244
    | ~ spl36_292 ),
    inference(sat_conversion,[],[f3577]) ).

cnf(s660,plain,
    ( ~ spl36_241
    | ~ spl36_291 ),
    inference(sat_conversion,[],[f3583]) ).

cnf(s663,plain,
    ( ~ spl36_193
    | ~ spl36_216 ),
    inference(sat_conversion,[],[f3602]) ).

cnf(s666,plain,
    ( ~ spl36_215
    | ~ spl36_278 ),
    inference(sat_conversion,[],[f3628]) ).

cnf(s669,plain,
    ( ~ spl36_217
    | ~ spl36_281 ),
    inference(sat_conversion,[],[f3649]) ).

cnf(s670,plain,
    ( ~ spl36_238
    | ~ spl36_285 ),
    inference(sat_conversion,[],[f3654]) ).

cnf(s673,plain,
    ( ~ spl36_243
    | ~ spl36_284 ),
    inference(sat_conversion,[],[f3673]) ).

cnf(s680,plain,
    ( ~ spl36_207
    | ~ spl36_288 ),
    inference(sat_conversion,[],[f3728]) ).

cnf(s681,plain,
    ( ~ spl36_233
    | ~ spl36_273 ),
    inference(sat_conversion,[],[f3730]) ).

cnf(s697,plain,
    ( spl36_25
    | ~ spl36_141 ),
    inference(sat_conversion,[],[f3887]) ).

cnf(s702,plain,
    ( ~ spl36_143
    | spl36_250 ),
    inference(sat_conversion,[],[f4028]) ).

cnf(s703,plain,
    ( ~ spl36_143
    | ~ spl36_265 ),
    inference(sat_conversion,[],[f4032]) ).

cnf(s704,plain,
    ( ~ spl36_245
    | ~ spl36_268 ),
    inference(sat_conversion,[],[f4036]) ).

cnf(s708,plain,
    ( spl36_111
    | ~ spl36_141
    | ~ spl36_254 ),
    inference(sat_conversion,[],[f4082]) ).

cnf(s748,plain,
    ( spl36_29
    | ~ spl36_141
    | ~ spl36_254
    | ~ spl36_268 ),
    inference(sat_conversion,[],[f4428]) ).

cnf(s749,plain,
    ( ~ spl36_25
    | ~ spl36_29
    | spl36_90
    | ~ spl36_179
    | ~ spl36_233 ),
    inference(sat_conversion,[],[f4432]) ).

cnf(s750,plain,
    ( ~ spl36_25
    | spl36_91
    | ~ spl36_105
    | ~ spl36_111
    | ~ spl36_250
    | ~ spl36_278 ),
    inference(sat_conversion,[],[f4442]) ).

cnf(s751,plain,
    ( ~ spl36_25
    | spl36_92
    | ~ spl36_105
    | ~ spl36_111
    | ~ spl36_254
    | ~ spl36_274 ),
    inference(sat_conversion,[],[f4452]) ).

cnf(s752,plain,
    ( ~ spl36_25
    | ~ spl36_29
    | spl36_93
    | ~ spl36_140
    | ~ spl36_194 ),
    inference(sat_conversion,[],[f4462]) ).

cnf(s753,plain,
    ( ~ spl36_25
    | ~ spl36_29
    | spl36_94
    | ~ spl36_139
    | ~ spl36_193 ),
    inference(sat_conversion,[],[f4471]) ).

cnf(s754,plain,
    ( ~ spl36_29
    | spl36_95
    | ~ spl36_111
    | ~ spl36_184
    | ~ spl36_237 ),
    inference(sat_conversion,[],[f4480]) ).

cnf(s756,plain,
    ( ~ spl36_25
    | spl36_97
    | ~ spl36_111
    | ~ spl36_144
    | ~ spl36_196 ),
    inference(sat_conversion,[],[f4500]) ).

cnf(s757,plain,
    ( ~ spl36_29
    | spl36_98
    | ~ spl36_105
    | ~ spl36_111
    | ~ spl36_262
    | ~ spl36_288 ),
    inference(sat_conversion,[],[f4510]) ).

cnf(s758,plain,
    ( ~ spl36_25
    | spl36_99
    | ~ spl36_111
    | ~ spl36_143
    | ~ spl36_195 ),
    inference(sat_conversion,[],[f4519]) ).

cnf(s759,plain,
    ( ~ spl36_29
    | spl36_100
    | ~ spl36_105
    | ~ spl36_111
    | ~ spl36_268
    | ~ spl36_291 ),
    inference(sat_conversion,[],[f4528]) ).

cnf(s760,plain,
    ( ~ spl36_25
    | spl36_101
    | ~ spl36_105
    | ~ spl36_142
    | ~ spl36_198 ),
    inference(sat_conversion,[],[f4538]) ).

cnf(s761,plain,
    ( ~ spl36_29
    | spl36_102
    | ~ spl36_105
    | ~ spl36_111
    | ~ spl36_264
    | ~ spl36_286 ),
    inference(sat_conversion,[],[f4548]) ).

cnf(s763,plain,
    ( ~ spl36_25
    | spl36_104
    | ~ spl36_105
    | ~ spl36_141
    | ~ spl36_197 ),
    inference(sat_conversion,[],[f4567]) ).

cnf(s764,plain,
    ( ~ spl36_29
    | spl36_96
    | ~ spl36_105
    | ~ spl36_183
    | ~ spl36_238 ),
    inference(sat_conversion,[],[f4571]) ).

cnf(s765,plain,
    ( ~ spl36_163
    | ~ spl36_268 ),
    inference(sat_conversion,[],[f4574]) ).

cnf(s766,plain,
    ( ~ spl36_140
    | ~ spl36_163 ),
    inference(sat_conversion,[],[f4575]) ).

cnf(s767,plain,
    ( ~ spl36_162
    | ~ spl36_262 ),
    inference(sat_conversion,[],[f4576]) ).

cnf(s771,plain,
    ( ~ spl36_153
    | ~ spl36_264 ),
    inference(sat_conversion,[],[f4608]) ).

cnf(s772,plain,
    ( ~ spl36_144
    | ~ spl36_155 ),
    inference(sat_conversion,[],[f4609]) ).

cnf(s808,plain,
    ( ~ spl36_29
    | spl36_103
    | ~ spl36_105
    | ~ spl36_111
    | ~ spl36_267
    | ~ spl36_292 ),
    inference(sat_conversion,[],[f4676]) ).

cnf(s815,plain,
    ( ~ spl36_25
    | spl36_89
    | ~ spl36_138
    | ~ spl36_192 ),
    inference(sat_conversion,[],[f4688]) ).

cnf(s853,plain,
    ( ~ spl36_151
    | ~ spl36_162 ),
    inference(sat_conversion,[],[f4939]) ).

cnf(s915,plain,
    ( spl36_22
    | ~ spl36_105
    | ~ spl36_141
    | ~ spl36_164 ),
    inference(sat_conversion,[],[f5180]) ).

cnf(s946,plain,
    ( ~ spl36_138
    | ~ spl36_150 ),
    inference(sat_conversion,[],[f5271]) ).

cnf(s951,plain,
    ( ~ spl36_139
    | ~ spl36_150 ),
    inference(sat_conversion,[],[f5273]) ).

cnf(s955,plain,
    ( ~ spl36_179
    | ~ spl36_189 ),
    inference(sat_conversion,[],[f5278]) ).

cnf(s960,plain,
    ( ~ spl36_195
    | ~ spl36_283 ),
    inference(sat_conversion,[],[f5288]) ).

cnf(s961,plain,
    ( ~ spl36_197
    | spl36_274 ),
    inference(sat_conversion,[],[f5296]) ).

cnf(s963,plain,
    ( ~ spl36_144
    | ~ spl36_166 ),
    inference(sat_conversion,[],[f5301]) ).

cnf(s997,plain,
    ( ~ spl36_234
    | ~ spl36_274 ),
    inference(sat_conversion,[],[f5397]) ).

cnf(s998,plain,
    ( ~ spl36_197
    | ~ spl36_274
    | spl36_291 ),
    inference(sat_conversion,[],[f5398]) ).

cnf(s1004,plain,
    ( ~ spl36_277
    | ~ spl36_288 ),
    inference(sat_conversion,[],[f5408]) ).

cnf(s1008,plain,
    ( ~ spl36_240
    | ~ spl36_291 ),
    inference(sat_conversion,[],[f5419]) ).

cnf(s1012,plain,
    ( ~ spl36_197
    | ~ spl36_290 ),
    inference(sat_conversion,[],[f5429]) ).

cnf(s1019,plain,
    ( ~ spl36_196
    | ~ spl36_218 ),
    inference(sat_conversion,[],[f5452]) ).

cnf(s1020,plain,
    ( ~ spl36_198
    | ~ spl36_280 ),
    inference(sat_conversion,[],[f5453]) ).

cnf(s1021,plain,
    ( ~ spl36_197
    | ~ spl36_282 ),
    inference(sat_conversion,[],[f5454]) ).

cnf(s1022,plain,
    ( ~ spl36_228
    | ~ spl36_291 ),
    inference(sat_conversion,[],[f5456]) ).

cnf(s1023,plain,
    ( ~ spl36_206
    | ~ spl36_291 ),
    inference(sat_conversion,[],[f5457]) ).

cnf(s1024,plain,
    ( ~ spl36_271
    | ~ spl36_291 ),
    inference(sat_conversion,[],[f5460]) ).

cnf(s1025,plain,
    ~ spl36_265,
    inference(rat,[],[s703,s412]) ).

cnf(s1026,plain,
    spl36_250,
    inference(rat,[],[s702,s412]) ).

cnf(s1028,plain,
    ~ spl36_246,
    inference(rat,[],[s510,s1026]) ).

cnf(s1029,plain,
    ~ spl36_181,
    inference(rat,[],[s444,s1026]) ).

cnf(s1031,plain,
    ~ spl36_282,
    inference(rat,[],[s1021,s411]) ).

cnf(s1032,plain,
    ~ spl36_290,
    inference(rat,[],[s1012,s411]) ).

cnf(s1033,plain,
    spl36_274,
    inference(rat,[],[s961,s411]) ).

cnf(s1035,plain,
    ~ spl36_208,
    inference(rat,[],[s464,s411]) ).

cnf(s1036,plain,
    spl36_291,
    inference(rat,[],[s998,s411,s1033]) ).

cnf(s1037,plain,
    ~ spl36_234,
    inference(rat,[],[s997,s1033]) ).

cnf(s1038,plain,
    ~ spl36_226,
    inference(rat,[],[s638,s1033]) ).

cnf(s1039,plain,
    ~ spl36_270,
    inference(rat,[],[s632,s1033]) ).

cnf(s1040,plain,
    ~ spl36_235,
    inference(rat,[],[s623,s1033]) ).

cnf(s1041,plain,
    ~ spl36_271,
    inference(rat,[],[s1024,s1036]) ).

cnf(s1042,plain,
    ~ spl36_206,
    inference(rat,[],[s1023,s1036]) ).

cnf(s1043,plain,
    ~ spl36_228,
    inference(rat,[],[s1022,s1036]) ).

cnf(s1044,plain,
    ~ spl36_240,
    inference(rat,[],[s1008,s1036]) ).

cnf(s1046,plain,
    ~ spl36_241,
    inference(rat,[],[s660,s1036]) ).

cnf(s1047,plain,
    ~ spl36_230,
    inference(rat,[],[s635,s1036]) ).

cnf(s1049,plain,
    ( spl36_195
    | spl36_218
    | spl36_229 ),
    inference(rat,[],[s405,s1042]) ).

cnf(s1054,plain,
    ( spl36_231
    | spl36_238 ),
    inference(rat,[],[s394,s1046,s1040]) ).

cnf(s1056,plain,
    ( spl36_243
    | spl36_272
    | spl36_292 ),
    inference(rat,[],[s389,s1035]) ).

cnf(s1057,plain,
    ( spl36_229
    | spl36_280
    | spl36_288 ),
    inference(rat,[],[s385,s1046]) ).

cnf(s1058,plain,
    ( spl36_218
    | spl36_237
    | spl36_244 ),
    inference(rat,[],[s384,s1037]) ).

cnf(s1059,plain,
    ( spl36_196
    | spl36_207
    | spl36_218 ),
    inference(rat,[],[s383,s1047]) ).

cnf(s1060,plain,
    ( spl36_217
    | spl36_269
    | spl36_292 ),
    inference(rat,[],[s382,s1042]) ).

cnf(s1061,plain,
    ( spl36_195
    | spl36_215
    | spl36_281 ),
    inference(rat,[],[s380,s1032]) ).

cnf(s1065,plain,
    ( spl36_193
    | spl36_236
    | spl36_281 ),
    inference(rat,[],[s371,s1031]) ).

cnf(s1066,plain,
    ( spl36_225
    | spl36_277
    | spl36_278 ),
    inference(rat,[],[s369,s1040]) ).

cnf(s1067,plain,
    ( spl36_194
    | spl36_203
    | spl36_272 ),
    inference(rat,[],[s366,s1041]) ).

cnf(s1068,plain,
    ( spl36_203
    | spl36_233
    | spl36_269 ),
    inference(rat,[],[s365,s1039]) ).

cnf(s1069,plain,
    ( spl36_192
    | spl36_204
    | spl36_215 ),
    inference(rat,[],[s363,s1038]) ).

cnf(s1071,plain,
    ( spl36_177
    | spl36_184
    | spl36_187 ),
    inference(rat,[],[s346,s1029]) ).

cnf(s1072,plain,
    ( spl36_154
    | spl36_174
    | spl36_267 ),
    inference(rat,[],[s342,s1028]) ).

cnf(s1073,plain,
    ( spl36_141
    | spl36_185
    | spl36_259 ),
    inference(rat,[],[s331,s1025]) ).

cnf(s1074,plain,
    ( spl36_171
    | spl36_253
    | spl36_254 ),
    inference(rat,[],[s321,s1029]) ).

cnf(s1075,plain,
    ( spl36_149
    | spl36_179
    | spl36_245 ),
    inference(rat,[],[s317,s1028]) ).

cnf(s1076,plain,
    spl36_198,
    inference(rat,[],[s312,s411]) ).

cnf(s1077,plain,
    ~ spl36_280,
    inference(rat,[],[s1020,s1076]) ).

cnf(s1078,plain,
    ~ spl36_272,
    inference(rat,[],[s639,s1076]) ).

cnf(s1079,plain,
    ~ spl36_242,
    inference(rat,[],[s475,s1076]) ).

cnf(s1080,plain,
    ~ spl36_276,
    inference(rat,[],[s468,s1076]) ).

cnf(s1081,plain,
    ~ spl36_229,
    inference(rat,[],[s311,s1047]) ).

cnf(s1082,plain,
    spl36_288,
    inference(rat,[],[s1057,s1077,s1081]) ).

cnf(s1083,plain,
    ~ spl36_277,
    inference(rat,[],[s1004,s1082]) ).

cnf(s1084,plain,
    ~ spl36_207,
    inference(rat,[],[s680,s1082]) ).

cnf(s1085,plain,
    ~ spl36_227,
    inference(rat,[],[s308,s1043]) ).

cnf(s1086,plain,
    ~ spl36_225,
    inference(rat,[],[s305,s1038]) ).

cnf(s1087,plain,
    spl36_278,
    inference(rat,[],[s1066,s1083,s1086]) ).

cnf(s1088,plain,
    ~ spl36_215,
    inference(rat,[],[s666,s1087]) ).

cnf(s1089,plain,
    ~ spl36_269,
    inference(rat,[],[s637,s1087]) ).

cnf(s1090,plain,
    ~ spl36_214,
    inference(rat,[],[s304,s1088]) ).

cnf(s1091,plain,
    spl36_224,
    inference(rat,[],[s276,s1079]) ).

cnf(s1092,plain,
    spl36_223,
    inference(rat,[],[s275,s1046]) ).

cnf(s1093,plain,
    spl36_221,
    inference(rat,[],[s273,s1044]) ).

cnf(s1094,plain,
    ~ spl36_201,
    inference(rat,[],[s267,s1040]) ).

cnf(s1095,plain,
    spl36_200,
    inference(rat,[],[s266,s1037]) ).

cnf(s1096,plain,
    ~ spl36_199,
    inference(rat,[],[s215,s1076,s411]) ).

cnf(s1097,plain,
    spl36_191,
    inference(rat,[],[s211,s1076,s411]) ).

cnf(s1098,plain,
    spl36_144,
    inference(rat,[],[s205,s412]) ).

cnf(s1099,plain,
    ~ spl36_166,
    inference(rat,[],[s963,s1098]) ).

cnf(s1100,plain,
    ~ spl36_155,
    inference(rat,[],[s772,s1098]) ).

cnf(s1101,plain,
    ~ spl36_248,
    inference(rat,[],[s560,s1098]) ).

cnf(s1102,plain,
    ~ spl36_252,
    inference(rat,[],[s553,s1098]) ).

cnf(s1103,plain,
    ~ spl36_165,
    inference(rat,[],[s207,s1099]) ).

cnf(s1104,plain,
    ~ spl36_154,
    inference(rat,[],[s206,s1100]) ).

cnf(s1105,plain,
    spl36_147,
    inference(rat,[],[s160,s1029]) ).

cnf(s1106,plain,
    spl36_146,
    inference(rat,[],[s112,s1098,s412]) ).

cnf(s1107,plain,
    spl36_145,
    inference(rat,[],[s108,s1098,s412]) ).

cnf(s1108,plain,
    ~ spl36_137,
    inference(rat,[],[s104,s1098,s412]) ).

cnf(s1109,plain,
    ~ spl36_7,
    inference(rat,[],[s521,s1100,s1098,s100]) ).

cnf(s1110,plain,
    ~ spl36_22,
    inference(rat,[],[s590,s98]) ).

cnf(s1111,plain,
    ~ spl36_172,
    inference(rat,[],[s597,s1026,s98,s1110]) ).

cnf(s1112,plain,
    ~ spl36_171,
    inference(rat,[],[s198,s1111]) ).

cnf(s1113,plain,
    ~ spl36_32,
    inference(rat,[],[s456,s97]) ).

cnf(s1114,plain,
    ~ spl36_177,
    inference(rat,[],[s461,s97,s412,s1113]) ).

cnf(s1115,plain,
    ~ spl36_188,
    inference(rat,[],[s422,s97,s1098,s1113]) ).

cnf(s1116,plain,
    ~ spl36_170,
    inference(rat,[],[s169,s1115]) ).

cnf(s1125,plain,
    ( ~ spl36_21
    | spl36_26
    | ~ spl36_89
    | ~ spl36_90
    | ~ spl36_91
    | ~ spl36_92
    | ~ spl36_93
    | ~ spl36_94
    | ~ spl36_95
    | ~ spl36_96
    | ~ spl36_97
    | ~ spl36_98
    | ~ spl36_99
    | ~ spl36_100
    | ~ spl36_101
    | ~ spl36_102
    | ~ spl36_103
    | ~ spl36_104
    | ~ spl36_111 ),
    inference(rat,[],[s73,s98]) ).

cnf(s1131,plain,
    ~ spl36_176,
    inference(rat,[],[s599,s1071,s1072,s421,s506,s1114,s1104]) ).

cnf(s1132,plain,
    ~ spl36_175,
    inference(rat,[],[s204,s1131]) ).

cnf(s1134,plain,
    ( ~ spl36_173
    | ~ spl36_157
    | ~ spl36_158
    | ~ spl36_148
    | ~ spl36_159
    | spl36_167
    | spl36_168
    | ~ spl36_169
    | ~ spl36_156 ),
    inference(rat,[],[s179,s154,s201,s1106,s1105,s1107,s1108,s1116]) ).

cnf(s1137,plain,
    ( ~ spl36_263
    | spl36_151
    | spl36_139 ),
    inference(rat,[],[s568,s323,s327,s570,s505,s201,s352,s200,s559,s512,s577,s98,s1110,s100,s1109,s97,s1113]) ).

cnf(s1138,plain,
    ( spl36_151
    | spl36_139
    | spl36_138 ),
    inference(rat,[],[s332,s539,s549,s343,s200,s767,s352,s1134,s117,s125,s129,s347,s315,s197,s596,s338,s1137,s915,s135,s139,s143,s147,s162,s195,s98,s1110,s100,s1109,s1102,s1103,s1112,s1111,s97,s1113,s1099,s1132,s1114]) ).

cnf(s1139,plain,
    ( spl36_169
    | ~ spl36_264 ),
    inference(rat,[],[s436,s333,s335,s578,s147,s168,s531,s203,s771,s1131]) ).

cnf(s1140,plain,
    ~ spl36_168,
    inference(rat,[],[s143,s167]) ).

cnf(s1141,plain,
    ( ~ spl36_150
    | ~ spl36_151 ),
    inference(rat,[],[s335,s538,s135,s165,s194,s533,s170,s341,s551,s166,s328,s1139,s531,s771,s330,s552,s515,s853,s555,s130,s126,s122,s118,s1131,s98,s1110,s1106,s1105,s1107,s1108,s1140,s1116,s1114,s1101,s1104,s1100,s97,s1113]) ).

cnf(s1142,plain,
    ( ~ spl36_140
    | spl36_257
    | spl36_183
    | spl36_162
    | spl36_139 ),
    inference(rat,[],[s557,s323,s327,s529,s543,s98,s1110,s100,s1109]) ).

cnf(s1143,plain,
    ( spl36_139
    | spl36_138 ),
    inference(rat,[],[s1073,s202,s565,s436,s318,s1142,s437,s328,s551,s341,s704,s1075,s559,s512,s480,s545,s338,s1074,s596,s196,s315,s1141,s853,s1138,s1111,s1112,s1132,s1099,s1113,s97,s1104,s1110,s98,s1101,s1109,s100]) ).

cnf(s1144,plain,
    ~ spl36_261,
    inference(rat,[],[s578,s1072,s1071,s505,s598,s1104,s1114]) ).

cnf(s1145,plain,
    ~ spl36_150,
    inference(rat,[],[s1143,s946,s951]) ).

cnf(s1146,plain,
    ~ spl36_149,
    inference(rat,[],[s196,s1145]) ).

cnf(s1147,plain,
    ( spl36_139
    | spl36_162
    | spl36_151 ),
    inference(rat,[],[s1134,s163,s161,s481,s568,s332,s147,s165,s320,s202,s335,s565,s436,s333,s203,s166,s437,s503,s324,s564,s343,s601,s533,s341,s578,s955,s164,s1071,s1075,s599,s596,s535,s201,s338,s592,s352,s1137,s1143,s162,s1140,s98,s1110,s1102,s1131,s100,s1109,s1145,s1103,s1101,s1104,s1114,s1146,s97,s1113,s1099,s1132]) ).

cnf(s1148,plain,
    ( ~ spl36_218
    | ~ spl36_231
    | spl36_192 ),
    inference(rat,[],[s293,s242,s250,s236,s224,s232,s228,s1069,s395,s263,s1095,s1094,s1096,s1097,s1093,s1092,s1091,s1086,s1090,s1088]) ).

cnf(s1149,plain,
    ( ~ spl36_231
    | spl36_192 ),
    inference(rat,[],[s272,s293,s463,s274,s1059,s1148,s263,s236,s224,s232,s228,s1069,s395,s1095,s1094,s1096,s1097,s1093,s1092,s1091,s1084,s1086,s1090,s1088]) ).

cnf(s1150,plain,
    ( spl36_196
    | spl36_192 ),
    inference(rat,[],[s277,s657,s301,s376,s658,s307,s1060,s669,s1061,s242,s250,s309,s1059,s236,s224,s613,s232,s228,s1069,s395,s1149,s1095,s1094,s1096,s1097,s1093,s1092,s1091,s1084,s1089,s1088,s1086,s1090]) ).

cnf(s1151,plain,
    spl36_192,
    inference(rat,[],[s301,s658,s277,s1060,s657,s617,s376,s375,s611,s620,s364,s272,s302,s274,s463,s1019,s1150,s670,s1054,s1149,s228,s232,s613,s224,s236,s1069,s395,s1095,s1094,s1096,s1097,s1093,s1092,s1091,s1089,s1084,s1079,s1088,s1090,s1086]) ).

cnf(s1152,plain,
    ~ spl36_203,
    inference(rat,[],[s604,s1151]) ).

cnf(s1153,plain,
    spl36_194,
    inference(rat,[],[s1067,s1078,s1152]) ).

cnf(s1154,plain,
    spl36_233,
    inference(rat,[],[s1068,s1089,s1152]) ).

cnf(s1155,plain,
    ~ spl36_279,
    inference(rat,[],[s616,s1153]) ).

cnf(s1156,plain,
    ~ spl36_236,
    inference(rat,[],[s614,s1153]) ).

cnf(s1157,plain,
    ~ spl36_275,
    inference(rat,[],[s603,s1153]) ).

cnf(s1158,plain,
    ~ spl36_273,
    inference(rat,[],[s681,s1154]) ).

cnf(s1159,plain,
    ~ spl36_204,
    inference(rat,[],[s608,s1154]) ).

cnf(s1161,plain,
    spl36_196,
    inference(rat,[],[s368,s1080,s1090,s1157]) ).

cnf(s1162,plain,
    ~ spl36_218,
    inference(rat,[],[s1019,s1161]) ).

cnf(s1164,plain,
    spl36_195,
    inference(rat,[],[s1049,s1081,s1162]) ).

cnf(s1167,plain,
    ~ spl36_283,
    inference(rat,[],[s960,s1164]) ).

cnf(s1168,plain,
    ( ~ spl36_237
    | ~ spl36_183
    | ~ spl36_139 ),
    inference(rat,[],[s761,s1125,s376,s808,s753,s764,s307,s1060,s1065,s377,s754,s617,s644,s656,s1072,s599,s329,s514,s330,s545,s541,s763,s759,s757,s343,s533,s23,s751,s750,s760,s320,s197,s543,s20,s815,s315,s752,s199,s749,s748,s756,s758,s697,s708,s332,s601,s341,s955,s1075,s535,s596,s481,s338,s512,s98,s1084,s1158,s1089,s1156,s1085,s1155,s1132,s1099,s1110,s1113,s97,s1109,s100,s1104,s1101,s1146,s412,s1164,s1098,s1161,s1154,s1153,s1111,s1145,s1151,s1076,s1102,s1087,s1026,s1033,s1082,s1103,s1036,s411,s1100]) ).

cnf(s1169,plain,
    ~ spl36_243,
    inference(rat,[],[s663,s376,s372,s657,s673,s1084,s1158,s1159,s1167]) ).

cnf(s1170,plain,
    spl36_292,
    inference(rat,[],[s1056,s1078,s1169]) ).

cnf(s1172,plain,
    ~ spl36_244,
    inference(rat,[],[s658,s1170]) ).

cnf(s1175,plain,
    spl36_237,
    inference(rat,[],[s1058,s1162,s1172]) ).

cnf(s1187,plain,
    ~ spl36_139,
    inference(rat,[],[s327,s200,s543,s766,s1168,s199,s1144,s1175]) ).

cnf(s1213,plain,
    spl36_151,
    inference(rat,[],[s955,s341,s1075,s765,s535,s200,s338,s1147,s1137,s1101,s1104,s1146,s1099,s1132,s1187]) ).

cnf(s1214,plain,
    ~ spl36_162,
    inference(rat,[],[s853,s1213]) ).

cnf(s1216,plain,
    ~ spl36_173,
    inference(rat,[],[s555,s1213]) ).

cnf(s1217,plain,
    spl36_158,
    inference(rat,[],[s130,s1213]) ).

cnf(s1218,plain,
    spl36_157,
    inference(rat,[],[s126,s1213]) ).

cnf(s1219,plain,
    spl36_156,
    inference(rat,[],[s122,s1213]) ).

cnf(s1220,plain,
    spl36_148,
    inference(rat,[],[s118,s1213]) ).

cnf(s1222,plain,
    ( spl36_189
    | ~ spl36_247 ),
    inference(rat,[],[s194,s533,s170,s341,s165,s166,s503,s147,s335,s437,s1073,s202,s565,s436,s1106,s1105,s1107,s1108,s1220,s1219,s1140,s1116,s1114,s1217,s1218,s1101,s1104,s1131,s1110,s98,s1109,s100]) ).

cnf(s1223,plain,
    ~ spl36_247,
    inference(rat,[],[s1074,s480,s535,s328,s1075,s551,s955,s1222,s437,s1073,s202,s565,s436,s1112,s1214,s1146,s98,s1110,s100,s1109]) ).

cnf(s1224,plain,
    spl36_140,
    inference(rat,[],[s318,s1101,s1146,s1223]) ).

cnf(s1226,plain,
    ~ spl36_251,
    inference(rat,[],[s543,s1224]) ).

cnf(s1227,plain,
    ~ spl36_255,
    inference(rat,[],[s514,s1224]) ).

cnf(s1228,plain,
    ~ spl36_182,
    inference(rat,[],[s529,s1109,s100,s1224]) ).

cnf(s1229,plain,
    spl36_183,
    inference(rat,[],[s327,s1214,s1144,s1226]) ).

cnf(s1231,plain,
    ~ spl36_263,
    inference(rat,[],[s512,s1229]) ).

cnf(s1232,plain,
    ~ spl36_257,
    inference(rat,[],[s481,s1110,s98,s1229]) ).

cnf(s1236,plain,
    spl36_184,
    inference(rat,[],[s329,s1227,s1216,s1231]) ).

cnf(s1237,plain,
    spl36_258,
    inference(rat,[],[s323,s1228,s1187,s1232]) ).

cnf(s1243,plain,
    $false,
    inference(rat,[],[s600,s1113,s97,s1237,s1236]) ).

fof(f5461,plain,
    $false,
    inference(avatar_sat_refutation,[],[s1243]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : ALG123+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18  % Computer : n016.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.18  % CPULimit : 300
% 0.08/0.18  % WCLimit  : 300
% 0.08/0.18  % DateTime : Mon Sep 28 19:35:49 UTC 2026
% 0.08/0.18  % CPUTime  : 
% 0.08/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21  Running first-order model finding
% 0.08/0.21  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
% 0.95/0.41  % (3918821)Will run a generic schedule for satisfiability detection.
% 0.95/0.41  % (3918830)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=137459100:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.95/0.41  % (3918827)% WARNING: option uhcvi not known.
% 0.95/0.41  % (3918826)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=525094464_2999 on theBenchmark for (2999ds/0Mi)
% 0.95/0.41  % (3918827)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3380442304:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.95/0.41  % (3918829)dis+10_1_sil=32000:sp=arity:random_seed=2480319976:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.95/0.41  % (3918828)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4137914103:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.95/0.41  % (3918831)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4248632992:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.95/0.41  % (3918832)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3712677686:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.95/0.41  % (3918830)Instruction limit reached! 
% 0.95/0.41  % (3918830)------------------------------
% 0.95/0.41  % (3918830)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.95/0.41  % (3918830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.95/0.41  % (3918830)CaDiCaL version: 2.1.3
% 0.95/0.41  % (3918830)Termination reason: Instruction limit
% 0.95/0.41  % (3918830)Termination phase: Saturation
% 0.95/0.41  % (3918830)Time elapsed: 0.030 s
% 0.95/0.41  % (3918830)Peak memory usage: 13 MB
% 0.95/0.41  % (3918830)Instructions burned: 116 (million)
% 0.95/0.41  % (3918840)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1671590280:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.95/0.41  % Detected minimum model sizes of [8]
% 0.95/0.41  % Detected maximum model sizes of [max]
% 0.95/0.41  % TRYING [8]
% 0.95/0.41  % Detected minimum model sizes of [8]
% 0.95/0.41  % Detected maximum model sizes of [max]
% 0.95/0.41  % TRYING [8]
% 0.95/0.41  % (3918829)Instruction limit reached! 
% 0.95/0.41  % (3918829)------------------------------
% 0.95/0.41  % (3918829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.95/0.41  % (3918829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.95/0.41  % (3918829)CaDiCaL version: 2.1.3
% 0.95/0.41  % (3918829)Termination reason: Instruction limit
% 0.95/0.41  % (3918829)Termination phase: Saturation
% 0.95/0.41  % (3918829)Time elapsed: 0.052 s
% 0.95/0.41  % (3918829)Peak memory usage: 13 MB
% 0.95/0.41  % (3918829)Instructions burned: 103 (million)
% 0.95/0.41  % (3918831)Instruction limit reached! 
% 0.95/0.41  % (3918831)------------------------------
% 0.95/0.41  % (3918831)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.95/0.41  % (3918831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.95/0.41  % (3918831)CaDiCaL version: 2.1.3
% 0.95/0.41  % (3918831)Termination reason: Instruction limit
% 0.95/0.41  % (3918831)Termination phase: Saturation
% 0.95/0.41  % (3918831)Time elapsed: 0.067 s
% 0.95/0.41  % (3918831)Peak memory usage: 14 MB
% 0.95/0.41  % (3918831)Instructions burned: 132 (million)
% 0.95/0.41  % (3918842)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3524568789:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.95/0.41  % (3918832)Instruction limit reached! 
% 0.95/0.41  % (3918832)------------------------------
% 0.95/0.41  % (3918832)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.95/0.41  % (3918832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.95/0.41  % (3918832)CaDiCaL version: 2.1.3
% 0.95/0.41  % (3918832)Termination reason: Instruction limit
% 0.95/0.41  % (3918832)Termination phase: Saturation
% 0.95/0.41  % (3918832)Time elapsed: 0.085 s
% 0.95/0.41  % (3918832)Peak memory usage: 13 MB
% 0.95/0.41  % (3918832)Instructions burned: 159 (million)
% 0.95/0.41  % (3918843)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=1469560912:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.95/0.41  % (3918846)ott-21_1_sil=16000:fs=off:random_seed=1592251673:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.95/0.41  % TRYING [9]
% 0.95/0.41  % (3918827) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3918821-3918827"...
% 0.95/0.41  % (3918842) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3918821-3918842"...
% 0.95/0.41  % (3918827)...printing done.
% 0.95/0.41  % (3918827)Refutation found. Thanks to Tanya!
% 0.95/0.41  % SZS status Theorem for theBenchmark
% 0.95/0.41  % SZS output start Proof for theBenchmark
% See solution above
% 0.95/0.43  % (3918827)------------------------------
% 0.95/0.43  % (3918827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.95/0.43  % (3918827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.95/0.43  % (3918827)CaDiCaL version: 2.1.3
% 0.95/0.43  % (3918827)Termination reason: Refutation
% 0.95/0.43  % (3918827)Time elapsed: 0.136 s
% 0.95/0.43  % (3918827)Peak memory usage: 15 MB
% 0.95/0.43  % (3918827)Instructions burned: 263 (million)
% 0.95/0.43  % (3918821)Success in time 0.189 s
% 0.95/0.43  % Vampire exiting
%------------------------------------------------------------------------------