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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : ALG088+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n017.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 09:21:27 AM UTC 2026

% Result   : Theorem 0.11s 0.34s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   51
% Syntax   : Number of formulae    :  793 (  71 unt;  46 def)
%            Number of atoms       : 2503 ( 980 equ)
%            Maximal formula atoms :  110 (   3 avg)
%            Number of connectives : 2936 (1226   ~;1322   |; 340   &)
%                                         (  46 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   70 (   4 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :   48 (  46 usr;  47 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;  10 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ( e10 != e11
    & e10 != e12
    & e10 != e13
    & e10 != e14
    & e11 != e12
    & e11 != e13
    & e11 != e14
    & e12 != e13
    & e12 != e14
    & e13 != e14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).

fof(f2,axiom,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e20 != e24
    & e21 != e22
    & e21 != e23
    & e21 != e24
    & e22 != e23
    & e22 != e24
    & e23 != e24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).

fof(f4,axiom,
    ( op1(e10,e10) = e10
    & op1(e10,e11) = e11
    & op1(e10,e12) = e12
    & op1(e10,e13) = e13
    & op1(e10,e14) = e14
    & op1(e11,e10) = e11
    & op1(e11,e11) = e10
    & op1(e11,e12) = e13
    & op1(e11,e13) = e14
    & op1(e11,e14) = e12
    & op1(e12,e10) = e12
    & op1(e12,e11) = e14
    & op1(e12,e12) = e10
    & op1(e12,e13) = e11
    & op1(e12,e14) = e13
    & op1(e13,e10) = e13
    & op1(e13,e11) = e12
    & op1(e13,e12) = e14
    & op1(e13,e13) = e10
    & op1(e13,e14) = e11
    & op1(e14,e10) = e14
    & op1(e14,e11) = e13
    & op1(e14,e12) = e11
    & op1(e14,e13) = e12
    & op1(e14,e14) = e10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).

fof(f5,axiom,
    ( op2(e20,e20) = e20
    & op2(e20,e21) = e21
    & op2(e20,e22) = e22
    & op2(e20,e23) = e23
    & op2(e20,e24) = e24
    & op2(e21,e20) = e21
    & op2(e21,e21) = e22
    & op2(e21,e22) = e23
    & op2(e21,e23) = e24
    & op2(e21,e24) = e20
    & op2(e22,e20) = e22
    & op2(e22,e21) = e24
    & op2(e22,e22) = e21
    & op2(e22,e23) = e20
    & op2(e22,e24) = e23
    & op2(e23,e20) = e23
    & op2(e23,e21) = e20
    & op2(e23,e22) = e24
    & op2(e23,e23) = e21
    & op2(e23,e24) = e22
    & op2(e24,e20) = e24
    & op2(e24,e21) = e23
    & op2(e24,e22) = e20
    & op2(e24,e23) = e22
    & op2(e24,e24) = e21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).

fof(f6,conjecture,
    ( ( ( h(e10) = e20
        | h(e10) = e21
        | h(e10) = e22
        | h(e10) = e23
        | h(e10) = e24 )
      & ( h(e11) = e20
        | h(e11) = e21
        | h(e11) = e22
        | h(e11) = e23
        | h(e11) = e24 )
      & ( h(e12) = e20
        | h(e12) = e21
        | h(e12) = e22
        | h(e12) = e23
        | h(e12) = e24 )
      & ( h(e13) = e20
        | h(e13) = e21
        | h(e13) = e22
        | h(e13) = e23
        | h(e13) = e24 )
      & ( h(e14) = e20
        | h(e14) = e21
        | h(e14) = e22
        | h(e14) = e23
        | h(e14) = e24 )
      & ( j(e20) = e10
        | j(e20) = e11
        | j(e20) = e12
        | j(e20) = e13
        | j(e20) = e14 )
      & ( j(e21) = e10
        | j(e21) = e11
        | j(e21) = e12
        | j(e21) = e13
        | j(e21) = e14 )
      & ( j(e22) = e10
        | j(e22) = e11
        | j(e22) = e12
        | j(e22) = e13
        | j(e22) = e14 )
      & ( j(e23) = e10
        | j(e23) = e11
        | j(e23) = e12
        | j(e23) = e13
        | j(e23) = e14 )
      & ( j(e24) = e10
        | j(e24) = e11
        | j(e24) = e12
        | j(e24) = e13
        | j(e24) = e14 ) )
   => ~ ( h(op1(e10,e10)) = op2(h(e10),h(e10))
        & h(op1(e10,e11)) = op2(h(e10),h(e11))
        & h(op1(e10,e12)) = op2(h(e10),h(e12))
        & h(op1(e10,e13)) = op2(h(e10),h(e13))
        & h(op1(e10,e14)) = op2(h(e10),h(e14))
        & h(op1(e11,e10)) = op2(h(e11),h(e10))
        & h(op1(e11,e11)) = op2(h(e11),h(e11))
        & h(op1(e11,e12)) = op2(h(e11),h(e12))
        & h(op1(e11,e13)) = op2(h(e11),h(e13))
        & h(op1(e11,e14)) = op2(h(e11),h(e14))
        & h(op1(e12,e10)) = op2(h(e12),h(e10))
        & h(op1(e12,e11)) = op2(h(e12),h(e11))
        & h(op1(e12,e12)) = op2(h(e12),h(e12))
        & h(op1(e12,e13)) = op2(h(e12),h(e13))
        & h(op1(e12,e14)) = op2(h(e12),h(e14))
        & h(op1(e13,e10)) = op2(h(e13),h(e10))
        & h(op1(e13,e11)) = op2(h(e13),h(e11))
        & h(op1(e13,e12)) = op2(h(e13),h(e12))
        & h(op1(e13,e13)) = op2(h(e13),h(e13))
        & h(op1(e13,e14)) = op2(h(e13),h(e14))
        & h(op1(e14,e10)) = op2(h(e14),h(e10))
        & h(op1(e14,e11)) = op2(h(e14),h(e11))
        & h(op1(e14,e12)) = op2(h(e14),h(e12))
        & h(op1(e14,e13)) = op2(h(e14),h(e13))
        & h(op1(e14,e14)) = op2(h(e14),h(e14))
        & j(op2(e20,e20)) = op1(j(e20),j(e20))
        & j(op2(e20,e21)) = op1(j(e20),j(e21))
        & j(op2(e20,e22)) = op1(j(e20),j(e22))
        & j(op2(e20,e23)) = op1(j(e20),j(e23))
        & j(op2(e20,e24)) = op1(j(e20),j(e24))
        & j(op2(e21,e20)) = op1(j(e21),j(e20))
        & j(op2(e21,e21)) = op1(j(e21),j(e21))
        & j(op2(e21,e22)) = op1(j(e21),j(e22))
        & j(op2(e21,e23)) = op1(j(e21),j(e23))
        & j(op2(e21,e24)) = op1(j(e21),j(e24))
        & j(op2(e22,e20)) = op1(j(e22),j(e20))
        & j(op2(e22,e21)) = op1(j(e22),j(e21))
        & j(op2(e22,e22)) = op1(j(e22),j(e22))
        & j(op2(e22,e23)) = op1(j(e22),j(e23))
        & j(op2(e22,e24)) = op1(j(e22),j(e24))
        & j(op2(e23,e20)) = op1(j(e23),j(e20))
        & j(op2(e23,e21)) = op1(j(e23),j(e21))
        & j(op2(e23,e22)) = op1(j(e23),j(e22))
        & j(op2(e23,e23)) = op1(j(e23),j(e23))
        & j(op2(e23,e24)) = op1(j(e23),j(e24))
        & j(op2(e24,e20)) = op1(j(e24),j(e20))
        & j(op2(e24,e21)) = op1(j(e24),j(e21))
        & j(op2(e24,e22)) = op1(j(e24),j(e22))
        & j(op2(e24,e23)) = op1(j(e24),j(e23))
        & j(op2(e24,e24)) = op1(j(e24),j(e24))
        & h(j(e20)) = e20
        & h(j(e21)) = e21
        & h(j(e22)) = e22
        & h(j(e23)) = e23
        & h(j(e24)) = e24
        & j(h(e10)) = e10
        & j(h(e11)) = e11
        & j(h(e12)) = e12
        & j(h(e13)) = e13
        & j(h(e14)) = e14 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f7,negated_conjecture,
    ~ ( ( ( h(e10) = e20
          | h(e10) = e21
          | h(e10) = e22
          | h(e10) = e23
          | h(e10) = e24 )
        & ( h(e11) = e20
          | h(e11) = e21
          | h(e11) = e22
          | h(e11) = e23
          | h(e11) = e24 )
        & ( h(e12) = e20
          | h(e12) = e21
          | h(e12) = e22
          | h(e12) = e23
          | h(e12) = e24 )
        & ( h(e13) = e20
          | h(e13) = e21
          | h(e13) = e22
          | h(e13) = e23
          | h(e13) = e24 )
        & ( h(e14) = e20
          | h(e14) = e21
          | h(e14) = e22
          | h(e14) = e23
          | h(e14) = e24 )
        & ( j(e20) = e10
          | j(e20) = e11
          | j(e20) = e12
          | j(e20) = e13
          | j(e20) = e14 )
        & ( j(e21) = e10
          | j(e21) = e11
          | j(e21) = e12
          | j(e21) = e13
          | j(e21) = e14 )
        & ( j(e22) = e10
          | j(e22) = e11
          | j(e22) = e12
          | j(e22) = e13
          | j(e22) = e14 )
        & ( j(e23) = e10
          | j(e23) = e11
          | j(e23) = e12
          | j(e23) = e13
          | j(e23) = e14 )
        & ( j(e24) = e10
          | j(e24) = e11
          | j(e24) = e12
          | j(e24) = e13
          | j(e24) = e14 ) )
     => ~ ( h(op1(e10,e10)) = op2(h(e10),h(e10))
          & h(op1(e10,e11)) = op2(h(e10),h(e11))
          & h(op1(e10,e12)) = op2(h(e10),h(e12))
          & h(op1(e10,e13)) = op2(h(e10),h(e13))
          & h(op1(e10,e14)) = op2(h(e10),h(e14))
          & h(op1(e11,e10)) = op2(h(e11),h(e10))
          & h(op1(e11,e11)) = op2(h(e11),h(e11))
          & h(op1(e11,e12)) = op2(h(e11),h(e12))
          & h(op1(e11,e13)) = op2(h(e11),h(e13))
          & h(op1(e11,e14)) = op2(h(e11),h(e14))
          & h(op1(e12,e10)) = op2(h(e12),h(e10))
          & h(op1(e12,e11)) = op2(h(e12),h(e11))
          & h(op1(e12,e12)) = op2(h(e12),h(e12))
          & h(op1(e12,e13)) = op2(h(e12),h(e13))
          & h(op1(e12,e14)) = op2(h(e12),h(e14))
          & h(op1(e13,e10)) = op2(h(e13),h(e10))
          & h(op1(e13,e11)) = op2(h(e13),h(e11))
          & h(op1(e13,e12)) = op2(h(e13),h(e12))
          & h(op1(e13,e13)) = op2(h(e13),h(e13))
          & h(op1(e13,e14)) = op2(h(e13),h(e14))
          & h(op1(e14,e10)) = op2(h(e14),h(e10))
          & h(op1(e14,e11)) = op2(h(e14),h(e11))
          & h(op1(e14,e12)) = op2(h(e14),h(e12))
          & h(op1(e14,e13)) = op2(h(e14),h(e13))
          & h(op1(e14,e14)) = op2(h(e14),h(e14))
          & j(op2(e20,e20)) = op1(j(e20),j(e20))
          & j(op2(e20,e21)) = op1(j(e20),j(e21))
          & j(op2(e20,e22)) = op1(j(e20),j(e22))
          & j(op2(e20,e23)) = op1(j(e20),j(e23))
          & j(op2(e20,e24)) = op1(j(e20),j(e24))
          & j(op2(e21,e20)) = op1(j(e21),j(e20))
          & j(op2(e21,e21)) = op1(j(e21),j(e21))
          & j(op2(e21,e22)) = op1(j(e21),j(e22))
          & j(op2(e21,e23)) = op1(j(e21),j(e23))
          & j(op2(e21,e24)) = op1(j(e21),j(e24))
          & j(op2(e22,e20)) = op1(j(e22),j(e20))
          & j(op2(e22,e21)) = op1(j(e22),j(e21))
          & j(op2(e22,e22)) = op1(j(e22),j(e22))
          & j(op2(e22,e23)) = op1(j(e22),j(e23))
          & j(op2(e22,e24)) = op1(j(e22),j(e24))
          & j(op2(e23,e20)) = op1(j(e23),j(e20))
          & j(op2(e23,e21)) = op1(j(e23),j(e21))
          & j(op2(e23,e22)) = op1(j(e23),j(e22))
          & j(op2(e23,e23)) = op1(j(e23),j(e23))
          & j(op2(e23,e24)) = op1(j(e23),j(e24))
          & j(op2(e24,e20)) = op1(j(e24),j(e20))
          & j(op2(e24,e21)) = op1(j(e24),j(e21))
          & j(op2(e24,e22)) = op1(j(e24),j(e22))
          & j(op2(e24,e23)) = op1(j(e24),j(e23))
          & j(op2(e24,e24)) = op1(j(e24),j(e24))
          & h(j(e20)) = e20
          & h(j(e21)) = e21
          & h(j(e22)) = e22
          & h(j(e23)) = e23
          & h(j(e24)) = e24
          & j(h(e10)) = e10
          & j(h(e11)) = e11
          & j(h(e12)) = e12
          & j(h(e13)) = e13
          & j(h(e14)) = e14 ) ),
    inference(negated_conjecture,[status(cth)],[f6]) ).

fof(f8,plain,
    ( h(op1(e10,e10)) = op2(h(e10),h(e10))
    & h(op1(e10,e11)) = op2(h(e10),h(e11))
    & h(op1(e10,e12)) = op2(h(e10),h(e12))
    & h(op1(e10,e13)) = op2(h(e10),h(e13))
    & h(op1(e10,e14)) = op2(h(e10),h(e14))
    & h(op1(e11,e10)) = op2(h(e11),h(e10))
    & h(op1(e11,e11)) = op2(h(e11),h(e11))
    & h(op1(e11,e12)) = op2(h(e11),h(e12))
    & h(op1(e11,e13)) = op2(h(e11),h(e13))
    & h(op1(e11,e14)) = op2(h(e11),h(e14))
    & h(op1(e12,e10)) = op2(h(e12),h(e10))
    & h(op1(e12,e11)) = op2(h(e12),h(e11))
    & h(op1(e12,e12)) = op2(h(e12),h(e12))
    & h(op1(e12,e13)) = op2(h(e12),h(e13))
    & h(op1(e12,e14)) = op2(h(e12),h(e14))
    & h(op1(e13,e10)) = op2(h(e13),h(e10))
    & h(op1(e13,e11)) = op2(h(e13),h(e11))
    & h(op1(e13,e12)) = op2(h(e13),h(e12))
    & h(op1(e13,e13)) = op2(h(e13),h(e13))
    & h(op1(e13,e14)) = op2(h(e13),h(e14))
    & h(op1(e14,e10)) = op2(h(e14),h(e10))
    & h(op1(e14,e11)) = op2(h(e14),h(e11))
    & h(op1(e14,e12)) = op2(h(e14),h(e12))
    & h(op1(e14,e13)) = op2(h(e14),h(e13))
    & h(op1(e14,e14)) = op2(h(e14),h(e14))
    & j(op2(e20,e20)) = op1(j(e20),j(e20))
    & j(op2(e20,e21)) = op1(j(e20),j(e21))
    & j(op2(e20,e22)) = op1(j(e20),j(e22))
    & j(op2(e20,e23)) = op1(j(e20),j(e23))
    & j(op2(e20,e24)) = op1(j(e20),j(e24))
    & j(op2(e21,e20)) = op1(j(e21),j(e20))
    & j(op2(e21,e21)) = op1(j(e21),j(e21))
    & j(op2(e21,e22)) = op1(j(e21),j(e22))
    & j(op2(e21,e23)) = op1(j(e21),j(e23))
    & j(op2(e21,e24)) = op1(j(e21),j(e24))
    & j(op2(e22,e20)) = op1(j(e22),j(e20))
    & j(op2(e22,e21)) = op1(j(e22),j(e21))
    & j(op2(e22,e22)) = op1(j(e22),j(e22))
    & j(op2(e22,e23)) = op1(j(e22),j(e23))
    & j(op2(e22,e24)) = op1(j(e22),j(e24))
    & j(op2(e23,e20)) = op1(j(e23),j(e20))
    & j(op2(e23,e21)) = op1(j(e23),j(e21))
    & j(op2(e23,e22)) = op1(j(e23),j(e22))
    & j(op2(e23,e23)) = op1(j(e23),j(e23))
    & j(op2(e23,e24)) = op1(j(e23),j(e24))
    & j(op2(e24,e20)) = op1(j(e24),j(e20))
    & j(op2(e24,e21)) = op1(j(e24),j(e21))
    & j(op2(e24,e22)) = op1(j(e24),j(e22))
    & j(op2(e24,e23)) = op1(j(e24),j(e23))
    & j(op2(e24,e24)) = op1(j(e24),j(e24))
    & h(j(e20)) = e20
    & h(j(e21)) = e21
    & h(j(e22)) = e22
    & h(j(e23)) = e23
    & h(j(e24)) = e24
    & j(h(e10)) = e10
    & j(h(e11)) = e11
    & j(h(e12)) = e12
    & j(h(e13)) = e13
    & j(h(e14)) = e14
    & ( h(e10) = e20
      | h(e10) = e21
      | h(e10) = e22
      | h(e10) = e23
      | h(e10) = e24 )
    & ( h(e11) = e20
      | h(e11) = e21
      | h(e11) = e22
      | h(e11) = e23
      | h(e11) = e24 )
    & ( h(e12) = e20
      | h(e12) = e21
      | h(e12) = e22
      | h(e12) = e23
      | h(e12) = e24 )
    & ( h(e13) = e20
      | h(e13) = e21
      | h(e13) = e22
      | h(e13) = e23
      | h(e13) = e24 )
    & ( h(e14) = e20
      | h(e14) = e21
      | h(e14) = e22
      | h(e14) = e23
      | h(e14) = e24 )
    & ( j(e20) = e10
      | j(e20) = e11
      | j(e20) = e12
      | j(e20) = e13
      | j(e20) = e14 )
    & ( j(e21) = e10
      | j(e21) = e11
      | j(e21) = e12
      | j(e21) = e13
      | j(e21) = e14 )
    & ( j(e22) = e10
      | j(e22) = e11
      | j(e22) = e12
      | j(e22) = e13
      | j(e22) = e14 )
    & ( j(e23) = e10
      | j(e23) = e11
      | j(e23) = e12
      | j(e23) = e13
      | j(e23) = e14 )
    & ( j(e24) = e10
      | j(e24) = e11
      | j(e24) = e12
      | j(e24) = e13
      | j(e24) = e14 ) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f9,plain,
    ( h(op1(e10,e10)) = op2(h(e10),h(e10))
    & h(op1(e10,e11)) = op2(h(e10),h(e11))
    & h(op1(e10,e12)) = op2(h(e10),h(e12))
    & h(op1(e10,e13)) = op2(h(e10),h(e13))
    & h(op1(e10,e14)) = op2(h(e10),h(e14))
    & h(op1(e11,e10)) = op2(h(e11),h(e10))
    & h(op1(e11,e11)) = op2(h(e11),h(e11))
    & h(op1(e11,e12)) = op2(h(e11),h(e12))
    & h(op1(e11,e13)) = op2(h(e11),h(e13))
    & h(op1(e11,e14)) = op2(h(e11),h(e14))
    & h(op1(e12,e10)) = op2(h(e12),h(e10))
    & h(op1(e12,e11)) = op2(h(e12),h(e11))
    & h(op1(e12,e12)) = op2(h(e12),h(e12))
    & h(op1(e12,e13)) = op2(h(e12),h(e13))
    & h(op1(e12,e14)) = op2(h(e12),h(e14))
    & h(op1(e13,e10)) = op2(h(e13),h(e10))
    & h(op1(e13,e11)) = op2(h(e13),h(e11))
    & h(op1(e13,e12)) = op2(h(e13),h(e12))
    & h(op1(e13,e13)) = op2(h(e13),h(e13))
    & h(op1(e13,e14)) = op2(h(e13),h(e14))
    & h(op1(e14,e10)) = op2(h(e14),h(e10))
    & h(op1(e14,e11)) = op2(h(e14),h(e11))
    & h(op1(e14,e12)) = op2(h(e14),h(e12))
    & h(op1(e14,e13)) = op2(h(e14),h(e13))
    & h(op1(e14,e14)) = op2(h(e14),h(e14))
    & j(op2(e20,e20)) = op1(j(e20),j(e20))
    & j(op2(e20,e21)) = op1(j(e20),j(e21))
    & j(op2(e20,e22)) = op1(j(e20),j(e22))
    & j(op2(e20,e23)) = op1(j(e20),j(e23))
    & j(op2(e20,e24)) = op1(j(e20),j(e24))
    & j(op2(e21,e20)) = op1(j(e21),j(e20))
    & j(op2(e21,e21)) = op1(j(e21),j(e21))
    & j(op2(e21,e22)) = op1(j(e21),j(e22))
    & j(op2(e21,e23)) = op1(j(e21),j(e23))
    & j(op2(e21,e24)) = op1(j(e21),j(e24))
    & j(op2(e22,e20)) = op1(j(e22),j(e20))
    & j(op2(e22,e21)) = op1(j(e22),j(e21))
    & j(op2(e22,e22)) = op1(j(e22),j(e22))
    & j(op2(e22,e23)) = op1(j(e22),j(e23))
    & j(op2(e22,e24)) = op1(j(e22),j(e24))
    & j(op2(e23,e20)) = op1(j(e23),j(e20))
    & j(op2(e23,e21)) = op1(j(e23),j(e21))
    & j(op2(e23,e22)) = op1(j(e23),j(e22))
    & j(op2(e23,e23)) = op1(j(e23),j(e23))
    & j(op2(e23,e24)) = op1(j(e23),j(e24))
    & j(op2(e24,e20)) = op1(j(e24),j(e20))
    & j(op2(e24,e21)) = op1(j(e24),j(e21))
    & j(op2(e24,e22)) = op1(j(e24),j(e22))
    & j(op2(e24,e23)) = op1(j(e24),j(e23))
    & j(op2(e24,e24)) = op1(j(e24),j(e24))
    & h(j(e20)) = e20
    & h(j(e21)) = e21
    & h(j(e22)) = e22
    & h(j(e23)) = e23
    & h(j(e24)) = e24
    & j(h(e10)) = e10
    & j(h(e11)) = e11
    & j(h(e12)) = e12
    & j(h(e13)) = e13
    & j(h(e14)) = e14
    & ( h(e10) = e20
      | h(e10) = e21
      | h(e10) = e22
      | h(e10) = e23
      | h(e10) = e24 )
    & ( h(e11) = e20
      | h(e11) = e21
      | h(e11) = e22
      | h(e11) = e23
      | h(e11) = e24 )
    & ( h(e12) = e20
      | h(e12) = e21
      | h(e12) = e22
      | h(e12) = e23
      | h(e12) = e24 )
    & ( h(e13) = e20
      | h(e13) = e21
      | h(e13) = e22
      | h(e13) = e23
      | h(e13) = e24 )
    & ( h(e14) = e20
      | h(e14) = e21
      | h(e14) = e22
      | h(e14) = e23
      | h(e14) = e24 )
    & ( j(e20) = e10
      | j(e20) = e11
      | j(e20) = e12
      | j(e20) = e13
      | j(e20) = e14 )
    & ( j(e21) = e10
      | j(e21) = e11
      | j(e21) = e12
      | j(e21) = e13
      | j(e21) = e14 )
    & ( j(e22) = e10
      | j(e22) = e11
      | j(e22) = e12
      | j(e22) = e13
      | j(e22) = e14 )
    & ( j(e23) = e10
      | j(e23) = e11
      | j(e23) = e12
      | j(e23) = e13
      | j(e23) = e14 )
    & ( j(e24) = e10
      | j(e24) = e11
      | j(e24) = e12
      | j(e24) = e13
      | j(e24) = e14 ) ),
    inference(flattening,[],[f8]) ).

fof(f10,plain,
    e13 != e14,
    inference(cnf_transformation,[],[f1]) ).

fof(f11,plain,
    e12 != e14,
    inference(cnf_transformation,[],[f1]) ).

fof(f12,plain,
    e12 != e13,
    inference(cnf_transformation,[],[f1]) ).

fof(f13,plain,
    e11 != e14,
    inference(cnf_transformation,[],[f1]) ).

fof(f14,plain,
    e11 != e13,
    inference(cnf_transformation,[],[f1]) ).

fof(f15,plain,
    e11 != e12,
    inference(cnf_transformation,[],[f1]) ).

fof(f16,plain,
    e10 != e14,
    inference(cnf_transformation,[],[f1]) ).

fof(f17,plain,
    e10 != e13,
    inference(cnf_transformation,[],[f1]) ).

fof(f18,plain,
    e10 != e12,
    inference(cnf_transformation,[],[f1]) ).

fof(f19,plain,
    e10 != e11,
    inference(cnf_transformation,[],[f1]) ).

fof(f20,plain,
    e23 != e24,
    inference(cnf_transformation,[],[f2]) ).

fof(f21,plain,
    e22 != e24,
    inference(cnf_transformation,[],[f2]) ).

fof(f22,plain,
    e22 != e23,
    inference(cnf_transformation,[],[f2]) ).

fof(f23,plain,
    e21 != e24,
    inference(cnf_transformation,[],[f2]) ).

fof(f24,plain,
    e21 != e23,
    inference(cnf_transformation,[],[f2]) ).

fof(f25,plain,
    e21 != e22,
    inference(cnf_transformation,[],[f2]) ).

fof(f26,plain,
    e20 != e24,
    inference(cnf_transformation,[],[f2]) ).

fof(f27,plain,
    e20 != e23,
    inference(cnf_transformation,[],[f2]) ).

fof(f29,plain,
    e20 != e21,
    inference(cnf_transformation,[],[f2]) ).

fof(f55,plain,
    e10 = op1(e14,e14),
    inference(cnf_transformation,[],[f4]) ).

fof(f56,plain,
    e12 = op1(e14,e13),
    inference(cnf_transformation,[],[f4]) ).

fof(f57,plain,
    e11 = op1(e14,e12),
    inference(cnf_transformation,[],[f4]) ).

fof(f58,plain,
    e13 = op1(e14,e11),
    inference(cnf_transformation,[],[f4]) ).

fof(f60,plain,
    e11 = op1(e13,e14),
    inference(cnf_transformation,[],[f4]) ).

fof(f61,plain,
    e10 = op1(e13,e13),
    inference(cnf_transformation,[],[f4]) ).

fof(f63,plain,
    e12 = op1(e13,e11),
    inference(cnf_transformation,[],[f4]) ).

fof(f64,plain,
    e13 = op1(e13,e10),
    inference(cnf_transformation,[],[f4]) ).

fof(f66,plain,
    e11 = op1(e12,e13),
    inference(cnf_transformation,[],[f4]) ).

fof(f67,plain,
    e10 = op1(e12,e12),
    inference(cnf_transformation,[],[f4]) ).

fof(f69,plain,
    e12 = op1(e12,e10),
    inference(cnf_transformation,[],[f4]) ).

fof(f70,plain,
    e12 = op1(e11,e14),
    inference(cnf_transformation,[],[f4]) ).

fof(f72,plain,
    e13 = op1(e11,e12),
    inference(cnf_transformation,[],[f4]) ).

fof(f73,plain,
    e10 = op1(e11,e11),
    inference(cnf_transformation,[],[f4]) ).

fof(f74,plain,
    e11 = op1(e11,e10),
    inference(cnf_transformation,[],[f4]) ).

fof(f76,plain,
    e13 = op1(e10,e13),
    inference(cnf_transformation,[],[f4]) ).

fof(f77,plain,
    e12 = op1(e10,e12),
    inference(cnf_transformation,[],[f4]) ).

fof(f78,plain,
    e11 = op1(e10,e11),
    inference(cnf_transformation,[],[f4]) ).

fof(f79,plain,
    e10 = op1(e10,e10),
    inference(cnf_transformation,[],[f4]) ).

fof(f80,plain,
    e21 = op2(e24,e24),
    inference(cnf_transformation,[],[f5]) ).

fof(f81,plain,
    e22 = op2(e24,e23),
    inference(cnf_transformation,[],[f5]) ).

fof(f82,plain,
    e20 = op2(e24,e22),
    inference(cnf_transformation,[],[f5]) ).

fof(f83,plain,
    e23 = op2(e24,e21),
    inference(cnf_transformation,[],[f5]) ).

fof(f84,plain,
    e24 = op2(e24,e20),
    inference(cnf_transformation,[],[f5]) ).

fof(f105,plain,
    ( e24 = h(e10)
    | e23 = h(e10)
    | e22 = h(e10)
    | e21 = h(e10)
    | e20 = h(e10) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f106,plain,
    ( e24 = h(e11)
    | e23 = h(e11)
    | e22 = h(e11)
    | e21 = h(e11)
    | e20 = h(e11) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f108,plain,
    ( e24 = h(e13)
    | e23 = h(e13)
    | e22 = h(e13)
    | e21 = h(e13)
    | e20 = h(e13) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f109,plain,
    ( e24 = h(e14)
    | e23 = h(e14)
    | e22 = h(e14)
    | e21 = h(e14)
    | e20 = h(e14) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f110,plain,
    ( e14 = j(e20)
    | e13 = j(e20)
    | e12 = j(e20)
    | e11 = j(e20)
    | e10 = j(e20) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f111,plain,
    ( e14 = j(e21)
    | e13 = j(e21)
    | e12 = j(e21)
    | e11 = j(e21)
    | e10 = j(e21) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f112,plain,
    ( e14 = j(e22)
    | e13 = j(e22)
    | e12 = j(e22)
    | e11 = j(e22)
    | e10 = j(e22) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f113,plain,
    ( e14 = j(e23)
    | e13 = j(e23)
    | e12 = j(e23)
    | e11 = j(e23)
    | e10 = j(e23) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f114,plain,
    ( e14 = j(e24)
    | e13 = j(e24)
    | e12 = j(e24)
    | e11 = j(e24)
    | e10 = j(e24) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f115,plain,
    e14 = j(h(e14)),
    inference(cnf_transformation,[],[f9]) ).

fof(f116,plain,
    e13 = j(h(e13)),
    inference(cnf_transformation,[],[f9]) ).

fof(f118,plain,
    e11 = j(h(e11)),
    inference(cnf_transformation,[],[f9]) ).

fof(f119,plain,
    e10 = j(h(e10)),
    inference(cnf_transformation,[],[f9]) ).

fof(f120,plain,
    e24 = h(j(e24)),
    inference(cnf_transformation,[],[f9]) ).

fof(f121,plain,
    e23 = h(j(e23)),
    inference(cnf_transformation,[],[f9]) ).

fof(f122,plain,
    e22 = h(j(e22)),
    inference(cnf_transformation,[],[f9]) ).

fof(f123,plain,
    e21 = h(j(e21)),
    inference(cnf_transformation,[],[f9]) ).

fof(f124,plain,
    e20 = h(j(e20)),
    inference(cnf_transformation,[],[f9]) ).

fof(f125,plain,
    j(op2(e24,e24)) = op1(j(e24),j(e24)),
    inference(cnf_transformation,[],[f9]) ).

fof(f126,plain,
    j(op2(e24,e23)) = op1(j(e24),j(e23)),
    inference(cnf_transformation,[],[f9]) ).

fof(f127,plain,
    j(op2(e24,e22)) = op1(j(e24),j(e22)),
    inference(cnf_transformation,[],[f9]) ).

fof(f128,plain,
    j(op2(e24,e21)) = op1(j(e24),j(e21)),
    inference(cnf_transformation,[],[f9]) ).

fof(f129,plain,
    j(op2(e24,e20)) = op1(j(e24),j(e20)),
    inference(cnf_transformation,[],[f9]) ).

fof(f176,definition,
    ( spl0_1
  <=> e20 = h(e10) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f177,plain,
    ( e20 != h(e10)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f176]) ).

fof(f178,plain,
    ( e20 = h(e10)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f176]) ).

fof(f180,definition,
    ( spl0_2
  <=> e21 = h(e10) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f181,plain,
    ( e21 != h(e10)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f180]) ).

fof(f182,plain,
    ( e21 = h(e10)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f180]) ).

fof(f184,definition,
    ( spl0_3
  <=> e22 = h(e10) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f185,plain,
    ( e22 != h(e10)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f184]) ).

fof(f186,plain,
    ( e22 = h(e10)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f184]) ).

fof(f188,definition,
    ( spl0_4
  <=> e23 = h(e10) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f190,plain,
    ( e23 = h(e10)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f188]) ).

fof(f192,definition,
    ( spl0_5
  <=> e24 = h(e10) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f194,plain,
    ( e24 = h(e10)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f192]) ).

fof(f195,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f105,f192,f188,f184,f180,f176]) ).

fof(f197,definition,
    ( spl0_6
  <=> e20 = h(e11) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f199,plain,
    ( e20 = h(e11)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f197]) ).

fof(f201,definition,
    ( spl0_7
  <=> e21 = h(e11) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f202,plain,
    ( e21 != h(e11)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f201]) ).

fof(f203,plain,
    ( e21 = h(e11)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f201]) ).

fof(f205,definition,
    ( spl0_8
  <=> e22 = h(e11) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f207,plain,
    ( e22 = h(e11)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f205]) ).

fof(f209,definition,
    ( spl0_9
  <=> e23 = h(e11) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f210,plain,
    ( e23 != h(e11)
    | spl0_9 ),
    inference(avatar_component_clause,[],[f209]) ).

fof(f211,plain,
    ( e23 = h(e11)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f209]) ).

fof(f213,definition,
    ( spl0_10
  <=> e24 = h(e11) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f215,plain,
    ( e24 = h(e11)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f213]) ).

fof(f216,plain,
    ( spl0_6
    | spl0_7
    | spl0_8
    | spl0_9
    | spl0_10 ),
    inference(avatar_split_clause,[],[f106,f213,f209,f205,f201,f197]) ).

fof(f226,definition,
    ( spl0_13
  <=> e22 = h(e12) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f228,plain,
    ( e22 = h(e12)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f226]) ).

fof(f239,definition,
    ( spl0_16
  <=> e20 = h(e13) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f240,plain,
    ( e20 != h(e13)
    | spl0_16 ),
    inference(avatar_component_clause,[],[f239]) ).

fof(f241,plain,
    ( e20 = h(e13)
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f239]) ).

fof(f243,definition,
    ( spl0_17
  <=> e21 = h(e13) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f244,plain,
    ( e21 != h(e13)
    | spl0_17 ),
    inference(avatar_component_clause,[],[f243]) ).

fof(f245,plain,
    ( e21 = h(e13)
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f243]) ).

fof(f247,definition,
    ( spl0_18
  <=> e22 = h(e13) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f249,plain,
    ( e22 = h(e13)
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f247]) ).

fof(f251,definition,
    ( spl0_19
  <=> e23 = h(e13) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f252,plain,
    ( e23 != h(e13)
    | spl0_19 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f253,plain,
    ( e23 = h(e13)
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f255,definition,
    ( spl0_20
  <=> e24 = h(e13) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f256,plain,
    ( e24 != h(e13)
    | spl0_20 ),
    inference(avatar_component_clause,[],[f255]) ).

fof(f257,plain,
    ( e24 = h(e13)
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f255]) ).

fof(f258,plain,
    ( spl0_16
    | spl0_17
    | spl0_18
    | spl0_19
    | spl0_20 ),
    inference(avatar_split_clause,[],[f108,f255,f251,f247,f243,f239]) ).

fof(f260,definition,
    ( spl0_21
  <=> e20 = h(e14) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f262,plain,
    ( e20 = h(e14)
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f264,definition,
    ( spl0_22
  <=> e21 = h(e14) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f266,plain,
    ( e21 = h(e14)
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f268,definition,
    ( spl0_23
  <=> e22 = h(e14) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f270,plain,
    ( e22 = h(e14)
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f268]) ).

fof(f272,definition,
    ( spl0_24
  <=> e23 = h(e14) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f274,plain,
    ( e23 = h(e14)
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f272]) ).

fof(f276,definition,
    ( spl0_25
  <=> e24 = h(e14) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f278,plain,
    ( e24 = h(e14)
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f276]) ).

fof(f279,plain,
    ( spl0_21
    | spl0_22
    | spl0_23
    | spl0_24
    | spl0_25 ),
    inference(avatar_split_clause,[],[f109,f276,f272,f268,f264,f260]) ).

fof(f281,definition,
    ( spl0_26
  <=> e10 = j(e20) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f283,plain,
    ( e10 = j(e20)
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f281]) ).

fof(f285,definition,
    ( spl0_27
  <=> e11 = j(e20) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f287,plain,
    ( e11 = j(e20)
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f285]) ).

fof(f289,definition,
    ( spl0_28
  <=> e12 = j(e20) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f291,plain,
    ( e12 = j(e20)
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f289]) ).

fof(f293,definition,
    ( spl0_29
  <=> e13 = j(e20) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f295,plain,
    ( e13 = j(e20)
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f293]) ).

fof(f297,definition,
    ( spl0_30
  <=> e14 = j(e20) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f299,plain,
    ( e14 = j(e20)
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f297]) ).

fof(f300,plain,
    ( spl0_26
    | spl0_27
    | spl0_28
    | spl0_29
    | spl0_30 ),
    inference(avatar_split_clause,[],[f110,f297,f293,f289,f285,f281]) ).

fof(f302,definition,
    ( spl0_31
  <=> e10 = j(e21) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f304,plain,
    ( e10 = j(e21)
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f302]) ).

fof(f306,definition,
    ( spl0_32
  <=> e11 = j(e21) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f308,plain,
    ( e11 = j(e21)
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f306]) ).

fof(f310,definition,
    ( spl0_33
  <=> e12 = j(e21) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f312,plain,
    ( e12 = j(e21)
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f310]) ).

fof(f314,definition,
    ( spl0_34
  <=> e13 = j(e21) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f316,plain,
    ( e13 = j(e21)
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f314]) ).

fof(f318,definition,
    ( spl0_35
  <=> e14 = j(e21) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f320,plain,
    ( e14 = j(e21)
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f318]) ).

fof(f321,plain,
    ( spl0_31
    | spl0_32
    | spl0_33
    | spl0_34
    | spl0_35 ),
    inference(avatar_split_clause,[],[f111,f318,f314,f310,f306,f302]) ).

fof(f323,definition,
    ( spl0_36
  <=> e10 = j(e22) ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f325,plain,
    ( e10 = j(e22)
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f323]) ).

fof(f327,definition,
    ( spl0_37
  <=> e11 = j(e22) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f329,plain,
    ( e11 = j(e22)
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f327]) ).

fof(f331,definition,
    ( spl0_38
  <=> e12 = j(e22) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f333,plain,
    ( e12 = j(e22)
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f331]) ).

fof(f335,definition,
    ( spl0_39
  <=> e13 = j(e22) ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f337,plain,
    ( e13 = j(e22)
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f335]) ).

fof(f339,definition,
    ( spl0_40
  <=> e14 = j(e22) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f341,plain,
    ( e14 = j(e22)
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f339]) ).

fof(f342,plain,
    ( spl0_36
    | spl0_37
    | spl0_38
    | spl0_39
    | spl0_40 ),
    inference(avatar_split_clause,[],[f112,f339,f335,f331,f327,f323]) ).

fof(f344,definition,
    ( spl0_41
  <=> e10 = j(e23) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f346,plain,
    ( e10 = j(e23)
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f344]) ).

fof(f348,definition,
    ( spl0_42
  <=> e11 = j(e23) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f350,plain,
    ( e11 = j(e23)
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f348]) ).

fof(f352,definition,
    ( spl0_43
  <=> e12 = j(e23) ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f354,plain,
    ( e12 = j(e23)
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f352]) ).

fof(f356,definition,
    ( spl0_44
  <=> e13 = j(e23) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f358,plain,
    ( e13 = j(e23)
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f356]) ).

fof(f360,definition,
    ( spl0_45
  <=> e14 = j(e23) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f362,plain,
    ( e14 = j(e23)
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f360]) ).

fof(f363,plain,
    ( spl0_41
    | spl0_42
    | spl0_43
    | spl0_44
    | spl0_45 ),
    inference(avatar_split_clause,[],[f113,f360,f356,f352,f348,f344]) ).

fof(f365,definition,
    ( spl0_46
  <=> e10 = j(e24) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f367,plain,
    ( e10 = j(e24)
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f365]) ).

fof(f369,definition,
    ( spl0_47
  <=> e11 = j(e24) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f371,plain,
    ( e11 = j(e24)
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f369]) ).

fof(f373,definition,
    ( spl0_48
  <=> e12 = j(e24) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f375,plain,
    ( e12 = j(e24)
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f373]) ).

fof(f377,definition,
    ( spl0_49
  <=> e13 = j(e24) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f379,plain,
    ( e13 = j(e24)
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f381,definition,
    ( spl0_50
  <=> e14 = j(e24) ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f383,plain,
    ( e14 = j(e24)
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f381]) ).

fof(f384,plain,
    ( spl0_46
    | spl0_47
    | spl0_48
    | spl0_49
    | spl0_50 ),
    inference(avatar_split_clause,[],[f114,f381,f377,f373,f369,f365]) ).

fof(f385,plain,
    ( e14 = j(e20)
    | ~ spl0_21 ),
    inference(superposition,[],[f115,f262]) ).

fof(f386,plain,
    ( e10 = e14
    | ~ spl0_21
    | ~ spl0_26 ),
    inference(forward_demodulation,[],[f385,f283]) ).

fof(f387,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_26 ),
    inference(forward_subsumption_resolution,[],[f386,f16]) ).

fof(f388,plain,
    ( ~ spl0_21
    | ~ spl0_26 ),
    inference(avatar_contradiction_clause,[],[f387]) ).

fof(f390,plain,
    ( e14 = j(e21)
    | ~ spl0_22 ),
    inference(superposition,[],[f115,f266]) ).

fof(f391,plain,
    ( e10 = e14
    | ~ spl0_22
    | ~ spl0_31 ),
    inference(forward_demodulation,[],[f390,f304]) ).

fof(f392,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[],[f391,f16]) ).

fof(f393,plain,
    ( ~ spl0_22
    | ~ spl0_31 ),
    inference(avatar_contradiction_clause,[],[f392]) ).

fof(f396,plain,
    ( e14 = j(e22)
    | ~ spl0_23 ),
    inference(superposition,[],[f115,f270]) ).

fof(f397,plain,
    ( e10 = e14
    | ~ spl0_23
    | ~ spl0_36 ),
    inference(forward_demodulation,[],[f396,f325]) ).

fof(f398,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_36 ),
    inference(forward_subsumption_resolution,[],[f397,f16]) ).

fof(f399,plain,
    ( ~ spl0_23
    | ~ spl0_36 ),
    inference(avatar_contradiction_clause,[],[f398]) ).

fof(f403,plain,
    ( e14 = j(e23)
    | ~ spl0_24 ),
    inference(superposition,[],[f115,f274]) ).

fof(f404,plain,
    ( e10 = e14
    | ~ spl0_24
    | ~ spl0_41 ),
    inference(forward_demodulation,[],[f403,f346]) ).

fof(f405,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_41 ),
    inference(forward_subsumption_resolution,[],[f404,f16]) ).

fof(f406,plain,
    ( ~ spl0_24
    | ~ spl0_41 ),
    inference(avatar_contradiction_clause,[],[f405]) ).

fof(f411,plain,
    ( e14 = j(e24)
    | ~ spl0_25 ),
    inference(superposition,[],[f115,f278]) ).

fof(f412,plain,
    ( e10 = e14
    | ~ spl0_25
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f411,f367]) ).

fof(f413,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_46 ),
    inference(forward_subsumption_resolution,[],[f412,f16]) ).

fof(f414,plain,
    ( ~ spl0_25
    | ~ spl0_46 ),
    inference(avatar_contradiction_clause,[],[f413]) ).

fof(f415,plain,
    ( spl0_30
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f385,f260,f297]) ).

fof(f417,plain,
    ( e11 = e14
    | ~ spl0_27
    | ~ spl0_30 ),
    inference(forward_demodulation,[],[f299,f287]) ).

fof(f418,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_30 ),
    inference(forward_subsumption_resolution,[],[f417,f13]) ).

fof(f419,plain,
    ( ~ spl0_27
    | ~ spl0_30 ),
    inference(avatar_contradiction_clause,[],[f418]) ).

fof(f426,plain,
    ( e13 = j(e20)
    | ~ spl0_16 ),
    inference(superposition,[],[f116,f241]) ).

fof(f427,plain,
    ( spl0_29
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f426,f239,f293]) ).

fof(f429,plain,
    ( e13 = j(e21)
    | ~ spl0_17 ),
    inference(superposition,[],[f116,f245]) ).

fof(f430,plain,
    ( e10 = e13
    | ~ spl0_17
    | ~ spl0_31 ),
    inference(forward_demodulation,[],[f429,f304]) ).

fof(f431,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[],[f430,f17]) ).

fof(f432,plain,
    ( ~ spl0_17
    | ~ spl0_31 ),
    inference(avatar_contradiction_clause,[],[f431]) ).

fof(f435,plain,
    ( e13 = j(e22)
    | ~ spl0_18 ),
    inference(superposition,[],[f116,f249]) ).

fof(f442,plain,
    ( e13 = j(e23)
    | ~ spl0_19 ),
    inference(superposition,[],[f116,f253]) ).

fof(f443,plain,
    ( e10 = e13
    | ~ spl0_19
    | ~ spl0_41 ),
    inference(forward_demodulation,[],[f442,f346]) ).

fof(f444,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_41 ),
    inference(forward_subsumption_resolution,[],[f443,f17]) ).

fof(f445,plain,
    ( ~ spl0_19
    | ~ spl0_41 ),
    inference(avatar_contradiction_clause,[],[f444]) ).

fof(f450,plain,
    ( e13 = j(e24)
    | ~ spl0_20 ),
    inference(superposition,[],[f116,f257]) ).

fof(f459,plain,
    ( e13 = e14
    | ~ spl0_29
    | ~ spl0_30 ),
    inference(superposition,[],[f295,f299]) ).

fof(f465,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_30 ),
    inference(forward_subsumption_resolution,[],[f459,f10]) ).

fof(f466,plain,
    ( ~ spl0_29
    | ~ spl0_30 ),
    inference(avatar_contradiction_clause,[],[f465]) ).

fof(f467,plain,
    ( spl0_35
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f390,f264,f318]) ).

fof(f493,plain,
    ( e11 = j(e20)
    | ~ spl0_6 ),
    inference(superposition,[],[f118,f199]) ).

fof(f497,plain,
    ( e11 = j(e24)
    | ~ spl0_10 ),
    inference(superposition,[],[f118,f215]) ).

fof(f498,plain,
    ( e10 = e11
    | ~ spl0_10
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f497,f367]) ).

fof(f499,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_46 ),
    inference(forward_subsumption_resolution,[],[f498,f19]) ).

fof(f500,plain,
    ( ~ spl0_10
    | ~ spl0_46 ),
    inference(avatar_contradiction_clause,[],[f499]) ).

fof(f502,plain,
    ( e10 = j(e21)
    | ~ spl0_2 ),
    inference(superposition,[],[f119,f182]) ).

fof(f506,plain,
    ( e10 = j(e20)
    | ~ spl0_1 ),
    inference(superposition,[],[f119,f178]) ).

fof(f519,plain,
    ( e10 = j(e23)
    | ~ spl0_4 ),
    inference(superposition,[],[f119,f190]) ).

fof(f525,plain,
    ( e10 = j(e24)
    | ~ spl0_5 ),
    inference(superposition,[],[f119,f194]) ).

fof(f530,plain,
    ( e11 = j(e23)
    | ~ spl0_9 ),
    inference(superposition,[],[f118,f211]) ).

fof(f531,plain,
    ( spl0_42
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f530,f209,f348]) ).

fof(f535,plain,
    ( e11 = j(e21)
    | ~ spl0_7 ),
    inference(superposition,[],[f118,f203]) ).

fof(f536,plain,
    ( spl0_32
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f535,f201,f306]) ).

fof(f541,plain,
    ( e11 = j(e22)
    | ~ spl0_8 ),
    inference(superposition,[],[f118,f207]) ).

fof(f553,plain,
    ( e24 = h(e10)
    | ~ spl0_46 ),
    inference(superposition,[],[f120,f367]) ).

fof(f554,plain,
    ( e23 = h(e12)
    | ~ spl0_43 ),
    inference(superposition,[],[f121,f354]) ).

fof(f555,plain,
    ( e22 = h(e11)
    | ~ spl0_37 ),
    inference(superposition,[],[f122,f329]) ).

fof(f557,plain,
    ( e20 = h(e13)
    | ~ spl0_29 ),
    inference(superposition,[],[f124,f295]) ).

fof(f558,plain,
    ( op1(e10,e10) = j(op2(e24,e24))
    | ~ spl0_46 ),
    inference(superposition,[],[f125,f367]) ).

fof(f559,plain,
    ( op1(e10,e10) = j(e21)
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f558,f80]) ).

fof(f560,plain,
    ( e14 = op1(e10,e10)
    | ~ spl0_35
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f559,f320]) ).

fof(f561,plain,
    ( e10 = e14
    | ~ spl0_35
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f560,f79]) ).

fof(f562,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_46 ),
    inference(forward_subsumption_resolution,[],[f561,f16]) ).

fof(f563,plain,
    ( ~ spl0_35
    | ~ spl0_46 ),
    inference(avatar_contradiction_clause,[],[f562]) ).

fof(f564,plain,
    ( spl0_41
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f519,f188,f344]) ).

fof(f569,plain,
    ( e22 = e23
    | ~ spl0_13
    | ~ spl0_43 ),
    inference(forward_demodulation,[],[f554,f228]) ).

fof(f573,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_43 ),
    inference(forward_subsumption_resolution,[],[f569,f22]) ).

fof(f574,plain,
    ( ~ spl0_13
    | ~ spl0_43 ),
    inference(avatar_contradiction_clause,[],[f573]) ).

fof(f600,plain,
    ( e23 = h(e10)
    | ~ spl0_41 ),
    inference(superposition,[],[f121,f346]) ).

fof(f602,plain,
    ( op1(e12,e12) = j(op2(e24,e24))
    | ~ spl0_48 ),
    inference(superposition,[],[f125,f375]) ).

fof(f604,plain,
    ( op1(e12,e12) = j(e21)
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f602,f80]) ).

fof(f605,plain,
    ( e14 = op1(e12,e12)
    | ~ spl0_35
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f604,f320]) ).

fof(f606,plain,
    ( e10 = e14
    | ~ spl0_35
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f605,f67]) ).

fof(f607,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[],[f606,f16]) ).

fof(f608,plain,
    ( ~ spl0_35
    | ~ spl0_48 ),
    inference(avatar_contradiction_clause,[],[f607]) ).

fof(f625,plain,
    ( e10 = j(e22)
    | ~ spl0_3 ),
    inference(superposition,[],[f119,f186]) ).

fof(f631,plain,
    ( e21 = e22
    | ~ spl0_7
    | ~ spl0_37 ),
    inference(forward_demodulation,[],[f555,f203]) ).

fof(f632,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_37 ),
    inference(forward_subsumption_resolution,[],[f631,f25]) ).

fof(f633,plain,
    ( ~ spl0_7
    | ~ spl0_37 ),
    inference(avatar_contradiction_clause,[],[f632]) ).

fof(f637,plain,
    ( spl0_8
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f555,f327,f205]) ).

fof(f646,plain,
    ( e21 = h(e11)
    | ~ spl0_32 ),
    inference(superposition,[],[f123,f308]) ).

fof(f652,plain,
    ( $false
    | spl0_7
    | ~ spl0_32 ),
    inference(forward_subsumption_resolution,[],[f646,f202]) ).

fof(f653,plain,
    ( spl0_7
    | ~ spl0_32 ),
    inference(avatar_contradiction_clause,[],[f652]) ).

fof(f657,plain,
    ( e22 = h(e10)
    | ~ spl0_36 ),
    inference(superposition,[],[f122,f325]) ).

fof(f663,plain,
    ( e23 = h(e13)
    | ~ spl0_44 ),
    inference(superposition,[],[f121,f358]) ).

fof(f664,plain,
    ( $false
    | spl0_19
    | ~ spl0_44 ),
    inference(forward_subsumption_resolution,[],[f663,f252]) ).

fof(f665,plain,
    ( spl0_19
    | ~ spl0_44 ),
    inference(avatar_contradiction_clause,[],[f664]) ).

fof(f672,plain,
    ( op1(e11,e11) = j(op2(e24,e24))
    | ~ spl0_47 ),
    inference(superposition,[],[f125,f371]) ).

fof(f673,plain,
    ( e24 = h(e11)
    | ~ spl0_47 ),
    inference(superposition,[],[f120,f371]) ).

fof(f674,plain,
    ( op1(e11,e11) = j(e21)
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f672,f80]) ).

fof(f675,plain,
    ( e14 = op1(e11,e11)
    | ~ spl0_35
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f674,f320]) ).

fof(f676,plain,
    ( e10 = e14
    | ~ spl0_35
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f675,f73]) ).

fof(f677,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f676,f16]) ).

fof(f678,plain,
    ( ~ spl0_35
    | ~ spl0_47 ),
    inference(avatar_contradiction_clause,[],[f677]) ).

fof(f679,plain,
    ( spl0_27
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f493,f197,f285]) ).

fof(f722,plain,
    ( e22 = h(e12)
    | ~ spl0_38 ),
    inference(superposition,[],[f122,f333]) ).

fof(f725,plain,
    ( e23 = h(e10)
    | ~ spl0_41 ),
    inference(superposition,[],[f121,f346]) ).

fof(f730,plain,
    ( spl0_26
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f506,f176,f281]) ).

fof(f750,plain,
    ( e20 = h(e10)
    | ~ spl0_26 ),
    inference(superposition,[],[f124,f283]) ).

fof(f752,plain,
    ( op1(e13,e13) = j(op2(e24,e24))
    | ~ spl0_49 ),
    inference(superposition,[],[f125,f379]) ).

fof(f753,plain,
    ( e24 = h(e13)
    | ~ spl0_49 ),
    inference(superposition,[],[f120,f379]) ).

fof(f754,plain,
    ( op1(e13,e13) = j(e21)
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f752,f80]) ).

fof(f755,plain,
    ( e14 = op1(e13,e13)
    | ~ spl0_35
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f754,f320]) ).

fof(f756,plain,
    ( e10 = e14
    | ~ spl0_35
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f755,f61]) ).

fof(f757,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[],[f756,f16]) ).

fof(f758,plain,
    ( ~ spl0_35
    | ~ spl0_49 ),
    inference(avatar_contradiction_clause,[],[f757]) ).

fof(f771,plain,
    ( e14 = j(e24)
    | ~ spl0_25 ),
    inference(superposition,[],[f115,f278]) ).

fof(f772,plain,
    ( e21 = h(e13)
    | ~ spl0_34 ),
    inference(superposition,[],[f123,f316]) ).

fof(f775,plain,
    ( $false
    | spl0_17
    | ~ spl0_34 ),
    inference(forward_subsumption_resolution,[],[f772,f244]) ).

fof(f776,plain,
    ( spl0_17
    | ~ spl0_34 ),
    inference(avatar_contradiction_clause,[],[f775]) ).

fof(f788,plain,
    ( e21 = h(e10)
    | ~ spl0_31 ),
    inference(superposition,[],[f123,f304]) ).

fof(f789,plain,
    ( e20 = e21
    | ~ spl0_1
    | ~ spl0_31 ),
    inference(forward_demodulation,[],[f788,f178]) ).

fof(f790,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[],[f789,f29]) ).

fof(f791,plain,
    ( ~ spl0_1
    | ~ spl0_31 ),
    inference(avatar_contradiction_clause,[],[f790]) ).

fof(f794,plain,
    ( $false
    | spl0_1
    | ~ spl0_26 ),
    inference(forward_subsumption_resolution,[],[f750,f177]) ).

fof(f795,plain,
    ( spl0_1
    | ~ spl0_26 ),
    inference(avatar_contradiction_clause,[],[f794]) ).

fof(f801,plain,
    ( $false
    | spl0_16
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[],[f557,f240]) ).

fof(f802,plain,
    ( spl0_16
    | ~ spl0_29 ),
    inference(avatar_contradiction_clause,[],[f801]) ).

fof(f808,plain,
    ( e20 = e24
    | ~ spl0_16
    | ~ spl0_20 ),
    inference(superposition,[],[f241,f257]) ).

fof(f816,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[],[f808,f26]) ).

fof(f817,plain,
    ( ~ spl0_16
    | ~ spl0_20 ),
    inference(avatar_contradiction_clause,[],[f816]) ).

fof(f842,plain,
    ( spl0_34
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f429,f243,f314]) ).

fof(f859,plain,
    ( op1(e14,e14) = j(op2(e24,e24))
    | ~ spl0_50 ),
    inference(superposition,[],[f125,f383]) ).

fof(f861,plain,
    ( op1(e14,e14) = j(e21)
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f859,f80]) ).

fof(f862,plain,
    ( e13 = op1(e14,e14)
    | ~ spl0_34
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f861,f316]) ).

fof(f863,plain,
    ( e10 = e13
    | ~ spl0_34
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f862,f55]) ).

fof(f864,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_50 ),
    inference(forward_subsumption_resolution,[],[f863,f17]) ).

fof(f865,plain,
    ( ~ spl0_34
    | ~ spl0_50 ),
    inference(avatar_contradiction_clause,[],[f864]) ).

fof(f870,plain,
    ( e12 = e14
    | ~ spl0_25
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f771,f375]) ).

fof(f876,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[],[f870,f11]) ).

fof(f877,plain,
    ( ~ spl0_25
    | ~ spl0_48 ),
    inference(avatar_contradiction_clause,[],[f876]) ).

fof(f878,plain,
    ( e21 = e24
    | ~ spl0_17
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f753,f245]) ).

fof(f882,plain,
    ( e13 = e14
    | ~ spl0_25
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f771,f379]) ).

fof(f883,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[],[f878,f23]) ).

fof(f884,plain,
    ( ~ spl0_17
    | ~ spl0_49 ),
    inference(avatar_contradiction_clause,[],[f883]) ).

fof(f887,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[],[f882,f10]) ).

fof(f888,plain,
    ( ~ spl0_25
    | ~ spl0_49 ),
    inference(avatar_contradiction_clause,[],[f887]) ).

fof(f889,plain,
    ( e23 = e24
    | ~ spl0_9
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f673,f211]) ).

fof(f893,plain,
    ( e11 = e14
    | ~ spl0_25
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f771,f371]) ).

fof(f894,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f889,f20]) ).

fof(f895,plain,
    ( ~ spl0_9
    | ~ spl0_47 ),
    inference(avatar_contradiction_clause,[],[f894]) ).

fof(f898,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f893,f13]) ).

fof(f899,plain,
    ( ~ spl0_25
    | ~ spl0_47 ),
    inference(avatar_contradiction_clause,[],[f898]) ).

fof(f900,plain,
    ( e11 = e14
    | ~ spl0_24
    | ~ spl0_42 ),
    inference(forward_demodulation,[],[f403,f350]) ).

fof(f902,plain,
    ( e20 = e24
    | ~ spl0_1
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f553,f178]) ).

fof(f906,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_42 ),
    inference(forward_subsumption_resolution,[],[f900,f13]) ).

fof(f907,plain,
    ( ~ spl0_24
    | ~ spl0_42 ),
    inference(avatar_contradiction_clause,[],[f906]) ).

fof(f908,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_46 ),
    inference(forward_subsumption_resolution,[],[f902,f26]) ).

fof(f909,plain,
    ( ~ spl0_1
    | ~ spl0_46 ),
    inference(avatar_contradiction_clause,[],[f908]) ).

fof(f910,plain,
    ( spl0_31
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f502,f180,f302]) ).

fof(f946,plain,
    ( e21 = h(e10)
    | ~ spl0_31 ),
    inference(superposition,[],[f123,f304]) ).

fof(f948,plain,
    ( op1(e14,e14) = j(op2(e24,e24))
    | ~ spl0_50 ),
    inference(superposition,[],[f125,f383]) ).

fof(f950,plain,
    ( op1(e14,e14) = j(e21)
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f948,f80]) ).

fof(f974,plain,
    ( spl0_37
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f541,f205,f327]) ).

fof(f1026,plain,
    ( j(op2(e24,e20)) = op1(e14,j(e20))
    | ~ spl0_50 ),
    inference(superposition,[],[f129,f383]) ).

fof(f1029,plain,
    ( op1(e14,e13) = j(op2(e24,e20))
    | ~ spl0_29
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1026,f295]) ).

fof(f1031,plain,
    ( op1(e14,e13) = j(e24)
    | ~ spl0_29
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1029,f84]) ).

fof(f1033,plain,
    ( e14 = op1(e14,e13)
    | ~ spl0_29
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1031,f383]) ).

fof(f1035,plain,
    ( e12 = e14
    | ~ spl0_29
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1033,f56]) ).

fof(f1038,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_50 ),
    inference(forward_subsumption_resolution,[],[f1035,f11]) ).

fof(f1039,plain,
    ( ~ spl0_29
    | ~ spl0_50 ),
    inference(avatar_contradiction_clause,[],[f1038]) ).

fof(f1041,plain,
    ( spl0_44
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f442,f251,f356]) ).

fof(f1050,plain,
    ( op1(e14,e12) = j(op2(e24,e20))
    | ~ spl0_28
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1026,f291]) ).

fof(f1056,plain,
    ( op1(e14,e12) = j(e24)
    | ~ spl0_28
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1050,f84]) ).

fof(f1058,plain,
    ( e14 = op1(e14,e12)
    | ~ spl0_28
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1056,f383]) ).

fof(f1059,plain,
    ( e11 = e14
    | ~ spl0_28
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1058,f57]) ).

fof(f1060,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_50 ),
    inference(forward_subsumption_resolution,[],[f1059,f13]) ).

fof(f1061,plain,
    ( ~ spl0_28
    | ~ spl0_50 ),
    inference(avatar_contradiction_clause,[],[f1060]) ).

fof(f1069,plain,
    ( op1(e14,e11) = j(op2(e24,e20))
    | ~ spl0_27
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1026,f287]) ).

fof(f1075,plain,
    ( op1(e14,e11) = j(e24)
    | ~ spl0_27
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1069,f84]) ).

fof(f1077,plain,
    ( e14 = op1(e14,e11)
    | ~ spl0_27
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1075,f383]) ).

fof(f1078,plain,
    ( e13 = e14
    | ~ spl0_27
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1077,f58]) ).

fof(f1079,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_50 ),
    inference(forward_subsumption_resolution,[],[f1078,f10]) ).

fof(f1080,plain,
    ( ~ spl0_27
    | ~ spl0_50 ),
    inference(avatar_contradiction_clause,[],[f1079]) ).

fof(f1086,plain,
    ( e11 = op1(e14,e14)
    | ~ spl0_32
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f950,f308]) ).

fof(f1098,plain,
    ( e10 = e11
    | ~ spl0_32
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1086,f55]) ).

fof(f1101,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_50 ),
    inference(forward_subsumption_resolution,[],[f1098,f19]) ).

fof(f1102,plain,
    ( ~ spl0_32
    | ~ spl0_50 ),
    inference(avatar_contradiction_clause,[],[f1101]) ).

fof(f1109,plain,
    ( e12 = op1(e14,e14)
    | ~ spl0_33
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f950,f312]) ).

fof(f1116,plain,
    ( e10 = e12
    | ~ spl0_33
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1109,f55]) ).

fof(f1120,plain,
    ( $false
    | ~ spl0_33
    | ~ spl0_50 ),
    inference(forward_subsumption_resolution,[],[f1116,f18]) ).

fof(f1121,plain,
    ( ~ spl0_33
    | ~ spl0_50 ),
    inference(avatar_contradiction_clause,[],[f1120]) ).

fof(f1135,plain,
    ( e14 = op1(e14,e14)
    | ~ spl0_35
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f950,f320]) ).

fof(f1145,plain,
    ( e10 = e14
    | ~ spl0_35
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1135,f55]) ).

fof(f1149,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_50 ),
    inference(forward_subsumption_resolution,[],[f1145,f16]) ).

fof(f1150,plain,
    ( ~ spl0_35
    | ~ spl0_50 ),
    inference(avatar_contradiction_clause,[],[f1149]) ).

fof(f1155,plain,
    ( spl0_49
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f450,f255,f377]) ).

fof(f1165,plain,
    ( op1(e14,e14) = j(op2(e24,e20))
    | ~ spl0_30
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1026,f299]) ).

fof(f1175,plain,
    ( op1(e14,e14) = j(e24)
    | ~ spl0_30
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1165,f84]) ).

fof(f1182,plain,
    ( e14 = op1(e14,e14)
    | ~ spl0_30
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1175,f383]) ).

fof(f1185,plain,
    ( e10 = e14
    | ~ spl0_30
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1182,f55]) ).

fof(f1186,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_50 ),
    inference(forward_subsumption_resolution,[],[f1185,f16]) ).

fof(f1187,plain,
    ( ~ spl0_30
    | ~ spl0_50 ),
    inference(avatar_contradiction_clause,[],[f1186]) ).

fof(f1192,plain,
    ( spl0_13
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f722,f331,f226]) ).

fof(f1210,plain,
    ( spl0_40
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f396,f268,f339]) ).

fof(f1215,plain,
    ( e13 = e14
    | ~ spl0_39
    | ~ spl0_40 ),
    inference(forward_demodulation,[],[f341,f337]) ).

fof(f1216,plain,
    ( $false
    | ~ spl0_39
    | ~ spl0_40 ),
    inference(forward_subsumption_resolution,[],[f1215,f10]) ).

fof(f1217,plain,
    ( ~ spl0_39
    | ~ spl0_40 ),
    inference(avatar_contradiction_clause,[],[f1216]) ).

fof(f1257,plain,
    ( e24 = h(e13)
    | ~ spl0_49 ),
    inference(superposition,[],[f120,f379]) ).

fof(f1258,plain,
    ( op1(e13,e13) = j(op2(e24,e24))
    | ~ spl0_49 ),
    inference(superposition,[],[f125,f379]) ).

fof(f1260,plain,
    ( j(op2(e24,e22)) = op1(e13,j(e22))
    | ~ spl0_49 ),
    inference(superposition,[],[f127,f379]) ).

fof(f1261,plain,
    ( j(op2(e24,e21)) = op1(e13,j(e21))
    | ~ spl0_49 ),
    inference(superposition,[],[f128,f379]) ).

fof(f1262,plain,
    ( j(op2(e24,e20)) = op1(e13,j(e20))
    | ~ spl0_49 ),
    inference(superposition,[],[f129,f379]) ).

fof(f1266,plain,
    ( op1(e13,e14) = j(op2(e24,e22))
    | ~ spl0_40
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1260,f341]) ).

fof(f1268,plain,
    ( op1(e13,e13) = j(e21)
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1258,f80]) ).

fof(f1271,plain,
    ( op1(e13,e14) = j(e20)
    | ~ spl0_40
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1266,f82]) ).

fof(f1273,plain,
    ( e11 = op1(e13,e13)
    | ~ spl0_32
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1268,f308]) ).

fof(f1278,plain,
    ( e10 = e11
    | ~ spl0_32
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1273,f61]) ).

fof(f1279,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[],[f1278,f19]) ).

fof(f1280,plain,
    ( ~ spl0_32
    | ~ spl0_49 ),
    inference(avatar_contradiction_clause,[],[f1279]) ).

fof(f1284,plain,
    ( e12 = op1(e13,e13)
    | ~ spl0_33
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1268,f312]) ).

fof(f1288,plain,
    ( e10 = e12
    | ~ spl0_33
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1284,f61]) ).

fof(f1290,plain,
    ( $false
    | ~ spl0_33
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[],[f1288,f18]) ).

fof(f1291,plain,
    ( ~ spl0_33
    | ~ spl0_49 ),
    inference(avatar_contradiction_clause,[],[f1290]) ).

fof(f1296,plain,
    ( op1(e13,e10) = j(op2(e24,e21))
    | ~ spl0_31
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1261,f304]) ).

fof(f1302,plain,
    ( op1(e13,e11) = j(op2(e24,e20))
    | ~ spl0_27
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1262,f287]) ).

fof(f1306,plain,
    ( op1(e13,e10) = j(e23)
    | ~ spl0_31
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1296,f83]) ).

fof(f1307,plain,
    ( op1(e13,e11) = j(e24)
    | ~ spl0_27
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1302,f84]) ).

fof(f1309,plain,
    ( e13 = op1(e13,e11)
    | ~ spl0_27
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1307,f379]) ).

fof(f1310,plain,
    ( e12 = e13
    | ~ spl0_27
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1309,f63]) ).

fof(f1311,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[],[f1310,f12]) ).

fof(f1312,plain,
    ( ~ spl0_27
    | ~ spl0_49 ),
    inference(avatar_contradiction_clause,[],[f1311]) ).

fof(f1318,plain,
    ( e14 = op1(e13,e10)
    | ~ spl0_31
    | ~ spl0_45
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1306,f362]) ).

fof(f1323,plain,
    ( e12 = op1(e13,e14)
    | ~ spl0_28
    | ~ spl0_40
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1271,f291]) ).

fof(f1328,plain,
    ( e13 = e14
    | ~ spl0_31
    | ~ spl0_45
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1318,f64]) ).

fof(f1331,plain,
    ( e11 = e12
    | ~ spl0_28
    | ~ spl0_40
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1323,f60]) ).

fof(f1333,plain,
    ( $false
    | ~ spl0_31
    | ~ spl0_45
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[],[f1328,f10]) ).

fof(f1334,plain,
    ( ~ spl0_31
    | ~ spl0_45
    | ~ spl0_49 ),
    inference(avatar_contradiction_clause,[],[f1333]) ).

fof(f1338,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_40
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[],[f1331,f15]) ).

fof(f1339,plain,
    ( ~ spl0_28
    | ~ spl0_40
    | ~ spl0_49 ),
    inference(avatar_contradiction_clause,[],[f1338]) ).

fof(f1349,plain,
    ( e21 = e23
    | ~ spl0_2
    | ~ spl0_41 ),
    inference(forward_demodulation,[],[f725,f182]) ).

fof(f1366,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_41 ),
    inference(forward_subsumption_resolution,[],[f1349,f24]) ).

fof(f1367,plain,
    ( ~ spl0_2
    | ~ spl0_41 ),
    inference(avatar_contradiction_clause,[],[f1366]) ).

fof(f1381,plain,
    ( j(e24) = op1(e13,j(e20))
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1262,f84]) ).

fof(f1389,plain,
    ( op1(e13,e14) = j(e24)
    | ~ spl0_30
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1381,f299]) ).

fof(f1392,plain,
    ( e13 = op1(e13,e14)
    | ~ spl0_30
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1389,f379]) ).

fof(f1393,plain,
    ( e11 = e13
    | ~ spl0_30
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1392,f60]) ).

fof(f1394,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[],[f1393,f14]) ).

fof(f1395,plain,
    ( ~ spl0_30
    | ~ spl0_49 ),
    inference(avatar_contradiction_clause,[],[f1394]) ).

fof(f1396,plain,
    ( spl0_46
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f525,f192,f365]) ).

fof(f1436,plain,
    ( j(op2(e24,e21)) = op1(j(e24),e13)
    | ~ spl0_34 ),
    inference(superposition,[],[f128,f316]) ).

fof(f1438,plain,
    ( op1(e10,e13) = j(op2(e24,e21))
    | ~ spl0_34
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1436,f367]) ).

fof(f1439,plain,
    ( op1(e10,e13) = j(e23)
    | ~ spl0_34
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1438,f83]) ).

fof(f1451,plain,
    ( j(op2(e24,e23)) = op1(j(e24),e11)
    | ~ spl0_42 ),
    inference(superposition,[],[f126,f350]) ).

fof(f1452,plain,
    ( e23 = h(e11)
    | ~ spl0_42 ),
    inference(superposition,[],[f121,f350]) ).

fof(f1453,plain,
    ( op1(e10,e11) = j(op2(e24,e23))
    | ~ spl0_42
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1451,f367]) ).

fof(f1454,plain,
    ( op1(e10,e11) = j(e22)
    | ~ spl0_42
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1453,f81]) ).

fof(f1455,plain,
    ( e14 = op1(e10,e11)
    | ~ spl0_40
    | ~ spl0_42
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1454,f341]) ).

fof(f1456,plain,
    ( e11 = e14
    | ~ spl0_40
    | ~ spl0_42
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1455,f78]) ).

fof(f1457,plain,
    ( $false
    | ~ spl0_40
    | ~ spl0_42
    | ~ spl0_46 ),
    inference(forward_subsumption_resolution,[],[f1456,f13]) ).

fof(f1458,plain,
    ( ~ spl0_40
    | ~ spl0_42
    | ~ spl0_46 ),
    inference(avatar_contradiction_clause,[],[f1457]) ).

fof(f1461,plain,
    ( e14 = op1(e10,e13)
    | ~ spl0_34
    | ~ spl0_45
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1439,f362]) ).

fof(f1464,plain,
    ( e13 = e14
    | ~ spl0_34
    | ~ spl0_45
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1461,f76]) ).

fof(f1465,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_45
    | ~ spl0_46 ),
    inference(forward_subsumption_resolution,[],[f1464,f10]) ).

fof(f1466,plain,
    ( ~ spl0_34
    | ~ spl0_45
    | ~ spl0_46 ),
    inference(avatar_contradiction_clause,[],[f1465]) ).

fof(f1467,plain,
    ( spl0_4
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f600,f344,f188]) ).

fof(f1482,plain,
    ( e23 = e24
    | ~ spl0_4
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f553,f190]) ).

fof(f1483,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_46 ),
    inference(forward_subsumption_resolution,[],[f1482,f20]) ).

fof(f1484,plain,
    ( ~ spl0_4
    | ~ spl0_46 ),
    inference(avatar_contradiction_clause,[],[f1483]) ).

fof(f1524,plain,
    ( j(op2(e24,e23)) = op1(j(e24),e12)
    | ~ spl0_43 ),
    inference(superposition,[],[f126,f354]) ).

fof(f1526,plain,
    ( op1(e10,e12) = j(op2(e24,e23))
    | ~ spl0_43
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1524,f367]) ).

fof(f1527,plain,
    ( op1(e10,e12) = j(e22)
    | ~ spl0_43
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1526,f81]) ).

fof(f1528,plain,
    ( e14 = op1(e10,e12)
    | ~ spl0_40
    | ~ spl0_43
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1527,f341]) ).

fof(f1529,plain,
    ( e12 = e14
    | ~ spl0_40
    | ~ spl0_43
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1528,f77]) ).

fof(f1530,plain,
    ( $false
    | ~ spl0_40
    | ~ spl0_43
    | ~ spl0_46 ),
    inference(forward_subsumption_resolution,[],[f1529,f11]) ).

fof(f1531,plain,
    ( ~ spl0_40
    | ~ spl0_43
    | ~ spl0_46 ),
    inference(avatar_contradiction_clause,[],[f1530]) ).

fof(f1554,plain,
    ( j(op2(e24,e22)) = op1(j(e24),e11)
    | ~ spl0_37 ),
    inference(superposition,[],[f127,f329]) ).

fof(f1558,plain,
    ( op1(e10,e11) = j(op2(e24,e22))
    | ~ spl0_37
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1554,f367]) ).

fof(f1559,plain,
    ( op1(e10,e11) = j(e20)
    | ~ spl0_37
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1558,f82]) ).

fof(f1560,plain,
    ( e14 = op1(e10,e11)
    | ~ spl0_30
    | ~ spl0_37
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1559,f299]) ).

fof(f1561,plain,
    ( e11 = e14
    | ~ spl0_30
    | ~ spl0_37
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1560,f78]) ).

fof(f1562,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_37
    | ~ spl0_46 ),
    inference(forward_subsumption_resolution,[],[f1561,f13]) ).

fof(f1563,plain,
    ( ~ spl0_30
    | ~ spl0_37
    | ~ spl0_46 ),
    inference(avatar_contradiction_clause,[],[f1562]) ).

fof(f1566,plain,
    ( e13 = op1(e10,e12)
    | ~ spl0_39
    | ~ spl0_43
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1527,f337]) ).

fof(f1569,plain,
    ( e12 = e13
    | ~ spl0_39
    | ~ spl0_43
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1566,f77]) ).

fof(f1570,plain,
    ( $false
    | ~ spl0_39
    | ~ spl0_43
    | ~ spl0_46 ),
    inference(forward_subsumption_resolution,[],[f1569,f12]) ).

fof(f1571,plain,
    ( ~ spl0_39
    | ~ spl0_43
    | ~ spl0_46 ),
    inference(avatar_contradiction_clause,[],[f1570]) ).

fof(f1572,plain,
    ( $false
    | spl0_3
    | ~ spl0_36 ),
    inference(forward_subsumption_resolution,[],[f657,f185]) ).

fof(f1573,plain,
    ( spl0_3
    | ~ spl0_36 ),
    inference(avatar_contradiction_clause,[],[f1572]) ).

fof(f1588,plain,
    ( e22 = e24
    | ~ spl0_3
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f553,f186]) ).

fof(f1589,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_46 ),
    inference(forward_subsumption_resolution,[],[f1588,f21]) ).

fof(f1590,plain,
    ( ~ spl0_3
    | ~ spl0_46 ),
    inference(avatar_contradiction_clause,[],[f1589]) ).

fof(f1593,plain,
    ( e21 = e23
    | ~ spl0_7
    | ~ spl0_42 ),
    inference(forward_demodulation,[],[f1452,f203]) ).

fof(f1604,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_42 ),
    inference(forward_subsumption_resolution,[],[f1593,f24]) ).

fof(f1605,plain,
    ( ~ spl0_7
    | ~ spl0_42 ),
    inference(avatar_contradiction_clause,[],[f1604]) ).

fof(f1620,plain,
    ( j(op2(e24,e22)) = op1(j(e24),e12)
    | ~ spl0_38 ),
    inference(superposition,[],[f127,f333]) ).

fof(f1623,plain,
    ( op1(e10,e12) = j(op2(e24,e22))
    | ~ spl0_38
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1620,f367]) ).

fof(f1624,plain,
    ( op1(e10,e12) = j(e20)
    | ~ spl0_38
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1623,f82]) ).

fof(f1625,plain,
    ( e14 = op1(e10,e12)
    | ~ spl0_30
    | ~ spl0_38
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1624,f299]) ).

fof(f1626,plain,
    ( e12 = e14
    | ~ spl0_30
    | ~ spl0_38
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1625,f77]) ).

fof(f1627,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_38
    | ~ spl0_46 ),
    inference(forward_subsumption_resolution,[],[f1626,f11]) ).

fof(f1628,plain,
    ( ~ spl0_30
    | ~ spl0_38
    | ~ spl0_46 ),
    inference(avatar_contradiction_clause,[],[f1627]) ).

fof(f1638,plain,
    ( j(op2(e24,e21)) = op1(j(e24),e12)
    | ~ spl0_33 ),
    inference(superposition,[],[f128,f312]) ).

fof(f1640,plain,
    ( op1(e10,e12) = j(op2(e24,e21))
    | ~ spl0_33
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1638,f367]) ).

fof(f1645,plain,
    ( op1(e10,e12) = j(e23)
    | ~ spl0_33
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1640,f83]) ).

fof(f1656,plain,
    ( j(op2(e24,e22)) = op1(j(e24),e13)
    | ~ spl0_39 ),
    inference(superposition,[],[f127,f337]) ).

fof(f1660,plain,
    ( op1(e10,e13) = j(op2(e24,e22))
    | ~ spl0_39
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1656,f367]) ).

fof(f1661,plain,
    ( op1(e10,e13) = j(e20)
    | ~ spl0_39
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1660,f82]) ).

fof(f1662,plain,
    ( e14 = op1(e10,e13)
    | ~ spl0_30
    | ~ spl0_39
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1661,f299]) ).

fof(f1663,plain,
    ( e13 = e14
    | ~ spl0_30
    | ~ spl0_39
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1662,f76]) ).

fof(f1664,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_39
    | ~ spl0_46 ),
    inference(forward_subsumption_resolution,[],[f1663,f10]) ).

fof(f1665,plain,
    ( ~ spl0_30
    | ~ spl0_39
    | ~ spl0_46 ),
    inference(avatar_contradiction_clause,[],[f1664]) ).

fof(f1671,plain,
    ( e14 = op1(e10,e12)
    | ~ spl0_33
    | ~ spl0_45
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1645,f362]) ).

fof(f1682,plain,
    ( e12 = e14
    | ~ spl0_33
    | ~ spl0_45
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1671,f77]) ).

fof(f1683,plain,
    ( $false
    | ~ spl0_33
    | ~ spl0_45
    | ~ spl0_46 ),
    inference(forward_subsumption_resolution,[],[f1682,f11]) ).

fof(f1684,plain,
    ( ~ spl0_33
    | ~ spl0_45
    | ~ spl0_46 ),
    inference(avatar_contradiction_clause,[],[f1683]) ).

fof(f1711,plain,
    ( j(op2(e24,e21)) = op1(j(e24),e11)
    | ~ spl0_32 ),
    inference(superposition,[],[f128,f308]) ).

fof(f1713,plain,
    ( op1(e10,e11) = j(op2(e24,e21))
    | ~ spl0_32
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1711,f367]) ).

fof(f1714,plain,
    ( op1(e10,e11) = j(e23)
    | ~ spl0_32
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1713,f83]) ).

fof(f1715,plain,
    ( e14 = op1(e10,e11)
    | ~ spl0_32
    | ~ spl0_45
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1714,f362]) ).

fof(f1716,plain,
    ( e11 = e14
    | ~ spl0_32
    | ~ spl0_45
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1715,f78]) ).

fof(f1717,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_45
    | ~ spl0_46 ),
    inference(forward_subsumption_resolution,[],[f1716,f13]) ).

fof(f1718,plain,
    ( ~ spl0_32
    | ~ spl0_45
    | ~ spl0_46 ),
    inference(avatar_contradiction_clause,[],[f1717]) ).

fof(f1722,plain,
    ( $false
    | spl0_2
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[],[f946,f181]) ).

fof(f1723,plain,
    ( spl0_2
    | ~ spl0_31 ),
    inference(avatar_contradiction_clause,[],[f1722]) ).

fof(f1742,plain,
    ( e21 = e24
    | ~ spl0_2
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f553,f182]) ).

fof(f1743,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_46 ),
    inference(forward_subsumption_resolution,[],[f1742,f23]) ).

fof(f1744,plain,
    ( ~ spl0_2
    | ~ spl0_46 ),
    inference(avatar_contradiction_clause,[],[f1743]) ).

fof(f1796,plain,
    ( j(op2(e24,e21)) = op1(j(e24),e11)
    | ~ spl0_32 ),
    inference(superposition,[],[f128,f308]) ).

fof(f1798,plain,
    ( op1(e10,e11) = j(op2(e24,e21))
    | ~ spl0_32
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1796,f367]) ).

fof(f1799,plain,
    ( op1(e10,e11) = j(e23)
    | ~ spl0_32
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1798,f83]) ).

fof(f1800,plain,
    ( e13 = op1(e10,e11)
    | ~ spl0_32
    | ~ spl0_44
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1799,f358]) ).

fof(f1801,plain,
    ( e11 = e13
    | ~ spl0_32
    | ~ spl0_44
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1800,f78]) ).

fof(f1802,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_44
    | ~ spl0_46 ),
    inference(forward_subsumption_resolution,[],[f1801,f14]) ).

fof(f1803,plain,
    ( ~ spl0_32
    | ~ spl0_44
    | ~ spl0_46 ),
    inference(avatar_contradiction_clause,[],[f1802]) ).

fof(f1811,plain,
    ( e21 = e23
    | ~ spl0_17
    | ~ spl0_19 ),
    inference(superposition,[],[f245,f253]) ).

fof(f1819,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[],[f1811,f24]) ).

fof(f1820,plain,
    ( ~ spl0_17
    | ~ spl0_19 ),
    inference(avatar_contradiction_clause,[],[f1819]) ).

fof(f1849,plain,
    ( j(op2(e24,e21)) = op1(j(e24),e12)
    | ~ spl0_33 ),
    inference(superposition,[],[f128,f312]) ).

fof(f1851,plain,
    ( op1(e10,e12) = j(op2(e24,e21))
    | ~ spl0_33
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1849,f367]) ).

fof(f1852,plain,
    ( op1(e10,e12) = j(e23)
    | ~ spl0_33
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1851,f83]) ).

fof(f1853,plain,
    ( e13 = op1(e10,e12)
    | ~ spl0_33
    | ~ spl0_44
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1852,f358]) ).

fof(f1854,plain,
    ( e12 = e13
    | ~ spl0_33
    | ~ spl0_44
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1853,f77]) ).

fof(f1855,plain,
    ( $false
    | ~ spl0_33
    | ~ spl0_44
    | ~ spl0_46 ),
    inference(forward_subsumption_resolution,[],[f1854,f12]) ).

fof(f1856,plain,
    ( ~ spl0_33
    | ~ spl0_44
    | ~ spl0_46 ),
    inference(avatar_contradiction_clause,[],[f1855]) ).

fof(f1875,plain,
    ( e21 = e24
    | ~ spl0_7
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f673,f203]) ).

fof(f1879,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f1875,f23]) ).

fof(f1880,plain,
    ( ~ spl0_7
    | ~ spl0_47 ),
    inference(avatar_contradiction_clause,[],[f1879]) ).

fof(f1902,plain,
    ( j(op2(e24,e20)) = op1(j(e24),e12)
    | ~ spl0_28 ),
    inference(superposition,[],[f129,f291]) ).

fof(f1907,plain,
    ( j(op2(e24,e21)) = op1(j(e24),e10)
    | ~ spl0_31 ),
    inference(superposition,[],[f128,f304]) ).

fof(f1909,plain,
    ( op1(e11,e10) = j(op2(e24,e21))
    | ~ spl0_31
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f1907,f371]) ).

fof(f1910,plain,
    ( op1(e11,e10) = j(e23)
    | ~ spl0_31
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f1909,f83]) ).

fof(f1911,plain,
    ( e13 = op1(e11,e10)
    | ~ spl0_31
    | ~ spl0_44
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f1910,f358]) ).

fof(f1912,plain,
    ( e11 = e13
    | ~ spl0_31
    | ~ spl0_44
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f1911,f74]) ).

fof(f1913,plain,
    ( $false
    | ~ spl0_31
    | ~ spl0_44
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f1912,f14]) ).

fof(f1914,plain,
    ( ~ spl0_31
    | ~ spl0_44
    | ~ spl0_47 ),
    inference(avatar_contradiction_clause,[],[f1913]) ).

fof(f1920,plain,
    ( op1(e12,e12) = j(op2(e24,e20))
    | ~ spl0_28
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f1902,f375]) ).

fof(f1921,plain,
    ( op1(e12,e10) = j(op2(e24,e21))
    | ~ spl0_31
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f1907,f375]) ).

fof(f1922,plain,
    ( op1(e12,e12) = j(e24)
    | ~ spl0_28
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f1920,f84]) ).

fof(f1923,plain,
    ( op1(e12,e10) = j(e23)
    | ~ spl0_31
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f1921,f83]) ).

fof(f1924,plain,
    ( e12 = op1(e12,e12)
    | ~ spl0_28
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f1922,f375]) ).

fof(f1925,plain,
    ( e13 = op1(e12,e10)
    | ~ spl0_31
    | ~ spl0_44
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f1923,f358]) ).

fof(f1926,plain,
    ( e10 = e12
    | ~ spl0_28
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f1924,f67]) ).

fof(f1927,plain,
    ( e12 = e13
    | ~ spl0_31
    | ~ spl0_44
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f1925,f69]) ).

fof(f1928,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[],[f1926,f18]) ).

fof(f1929,plain,
    ( ~ spl0_28
    | ~ spl0_48 ),
    inference(avatar_contradiction_clause,[],[f1928]) ).

fof(f1930,plain,
    ( $false
    | ~ spl0_31
    | ~ spl0_44
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[],[f1927,f12]) ).

fof(f1931,plain,
    ( ~ spl0_31
    | ~ spl0_44
    | ~ spl0_48 ),
    inference(avatar_contradiction_clause,[],[f1930]) ).

fof(f1935,plain,
    ( $false
    | spl0_9
    | ~ spl0_42 ),
    inference(forward_subsumption_resolution,[],[f1452,f210]) ).

fof(f1936,plain,
    ( spl0_9
    | ~ spl0_42 ),
    inference(avatar_contradiction_clause,[],[f1935]) ).

fof(f1969,plain,
    ( j(op2(e24,e20)) = op1(j(e24),e13)
    | ~ spl0_29 ),
    inference(superposition,[],[f129,f295]) ).

fof(f1971,plain,
    ( op1(e12,e13) = j(op2(e24,e20))
    | ~ spl0_29
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f1969,f375]) ).

fof(f1972,plain,
    ( op1(e12,e13) = j(e24)
    | ~ spl0_29
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f1971,f84]) ).

fof(f1973,plain,
    ( e12 = op1(e12,e13)
    | ~ spl0_29
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f1972,f375]) ).

fof(f1974,plain,
    ( e11 = e12
    | ~ spl0_29
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f1973,f66]) ).

fof(f1975,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[],[f1974,f15]) ).

fof(f1976,plain,
    ( ~ spl0_29
    | ~ spl0_48 ),
    inference(avatar_contradiction_clause,[],[f1975]) ).

fof(f1978,plain,
    ( spl0_39
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f435,f247,f335]) ).

fof(f1979,plain,
    ( spl0_45
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f403,f272,f360]) ).

fof(f1984,plain,
    ( e14 = op1(e12,e10)
    | ~ spl0_31
    | ~ spl0_45
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f1923,f362]) ).

fof(f1992,plain,
    ( e12 = e14
    | ~ spl0_31
    | ~ spl0_45
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f1984,f69]) ).

fof(f1993,plain,
    ( $false
    | ~ spl0_31
    | ~ spl0_45
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[],[f1992,f11]) ).

fof(f1994,plain,
    ( ~ spl0_31
    | ~ spl0_45
    | ~ spl0_48 ),
    inference(avatar_contradiction_clause,[],[f1993]) ).

fof(f2033,plain,
    ( j(op2(e24,e22)) = op1(j(e24),e14)
    | ~ spl0_40 ),
    inference(superposition,[],[f127,f341]) ).

fof(f2051,plain,
    ( e20 = e23
    | ~ spl0_6
    | ~ spl0_42 ),
    inference(forward_demodulation,[],[f1452,f199]) ).

fof(f2060,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_42 ),
    inference(forward_subsumption_resolution,[],[f2051,f27]) ).

fof(f2061,plain,
    ( ~ spl0_6
    | ~ spl0_42 ),
    inference(avatar_contradiction_clause,[],[f2060]) ).

fof(f2097,plain,
    ( op1(e12,e12) = j(op2(e24,e24))
    | ~ spl0_48 ),
    inference(superposition,[],[f125,f375]) ).

fof(f2108,plain,
    ( op1(e12,e12) = j(e21)
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2097,f80]) ).

fof(f2113,plain,
    ( e13 = op1(e12,e12)
    | ~ spl0_34
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2108,f316]) ).

fof(f2118,plain,
    ( e10 = e13
    | ~ spl0_34
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2113,f67]) ).

fof(f2119,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[],[f2118,f17]) ).

fof(f2120,plain,
    ( ~ spl0_34
    | ~ spl0_48 ),
    inference(avatar_contradiction_clause,[],[f2119]) ).

fof(f2126,plain,
    ( op1(e11,e14) = j(op2(e24,e22))
    | ~ spl0_40
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2033,f371]) ).

fof(f2131,plain,
    ( op1(e11,e14) = j(e20)
    | ~ spl0_40
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2126,f82]) ).

fof(f2188,plain,
    ( e12 = j(e20)
    | ~ spl0_40
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2131,f70]) ).

fof(f2209,plain,
    ( j(op2(e24,e23)) = op1(j(e24),e10)
    | ~ spl0_41 ),
    inference(superposition,[],[f126,f346]) ).

fof(f2211,plain,
    ( op1(e11,e10) = j(op2(e24,e23))
    | ~ spl0_41
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2209,f371]) ).

fof(f2212,plain,
    ( op1(e11,e10) = j(e22)
    | ~ spl0_41
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2211,f81]) ).

fof(f2213,plain,
    ( e14 = op1(e11,e10)
    | ~ spl0_40
    | ~ spl0_41
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2212,f341]) ).

fof(f2214,plain,
    ( e11 = e14
    | ~ spl0_40
    | ~ spl0_41
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2213,f74]) ).

fof(f2215,plain,
    ( $false
    | ~ spl0_40
    | ~ spl0_41
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f2214,f13]) ).

fof(f2216,plain,
    ( ~ spl0_40
    | ~ spl0_41
    | ~ spl0_47 ),
    inference(avatar_contradiction_clause,[],[f2215]) ).

fof(f2217,plain,
    ( spl0_36
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f625,f184,f323]) ).

fof(f2277,plain,
    ( op1(e11,e11) = j(op2(e24,e24))
    | ~ spl0_47 ),
    inference(superposition,[],[f125,f371]) ).

fof(f2280,plain,
    ( j(op2(e24,e21)) = op1(e11,j(e21))
    | ~ spl0_47 ),
    inference(superposition,[],[f128,f371]) ).

fof(f2287,plain,
    ( op1(e11,e11) = j(e21)
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2277,f80]) ).

fof(f2292,plain,
    ( e13 = op1(e11,e11)
    | ~ spl0_34
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2287,f316]) ).

fof(f2297,plain,
    ( e10 = e13
    | ~ spl0_34
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2292,f73]) ).

fof(f2298,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f2297,f17]) ).

fof(f2299,plain,
    ( ~ spl0_34
    | ~ spl0_47 ),
    inference(avatar_contradiction_clause,[],[f2298]) ).

fof(f2305,plain,
    ( op1(e11,e10) = j(op2(e24,e21))
    | ~ spl0_31
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2280,f304]) ).

fof(f2316,plain,
    ( op1(e11,e10) = j(e23)
    | ~ spl0_31
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2305,f83]) ).

fof(f2318,plain,
    ( e14 = op1(e11,e10)
    | ~ spl0_31
    | ~ spl0_45
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2316,f362]) ).

fof(f2320,plain,
    ( e11 = e14
    | ~ spl0_31
    | ~ spl0_45
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2318,f74]) ).

fof(f2321,plain,
    ( $false
    | ~ spl0_31
    | ~ spl0_45
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f2320,f13]) ).

fof(f2322,plain,
    ( ~ spl0_31
    | ~ spl0_45
    | ~ spl0_47 ),
    inference(avatar_contradiction_clause,[],[f2321]) ).

fof(f2326,plain,
    ( e11 = e14
    | ~ spl0_37
    | ~ spl0_40 ),
    inference(forward_demodulation,[],[f341,f329]) ).

fof(f2330,plain,
    ( $false
    | spl0_20
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[],[f1257,f256]) ).

fof(f2331,plain,
    ( spl0_20
    | ~ spl0_49 ),
    inference(avatar_contradiction_clause,[],[f2330]) ).

fof(f2340,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_40 ),
    inference(forward_subsumption_resolution,[],[f2326,f13]) ).

fof(f2341,plain,
    ( ~ spl0_37
    | ~ spl0_40 ),
    inference(avatar_contradiction_clause,[],[f2340]) ).

fof(f2387,plain,
    ( j(op2(e24,e22)) = op1(j(e24),e13)
    | ~ spl0_39 ),
    inference(superposition,[],[f127,f337]) ).

fof(f2390,plain,
    ( op1(e12,e13) = j(op2(e24,e22))
    | ~ spl0_39
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2387,f375]) ).

fof(f2391,plain,
    ( op1(e12,e13) = j(e20)
    | ~ spl0_39
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2390,f82]) ).

fof(f2392,plain,
    ( e14 = op1(e12,e13)
    | ~ spl0_30
    | ~ spl0_39
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2391,f299]) ).

fof(f2393,plain,
    ( e11 = e14
    | ~ spl0_30
    | ~ spl0_39
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2392,f66]) ).

fof(f2394,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_39
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[],[f2393,f13]) ).

fof(f2395,plain,
    ( ~ spl0_30
    | ~ spl0_39
    | ~ spl0_48 ),
    inference(avatar_contradiction_clause,[],[f2394]) ).

fof(f2502,plain,
    ( op1(e12,e12) = j(op2(e24,e24))
    | ~ spl0_48 ),
    inference(superposition,[],[f125,f375]) ).

fof(f2513,plain,
    ( op1(e12,e12) = j(e21)
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2502,f80]) ).

fof(f2518,plain,
    ( e11 = op1(e12,e12)
    | ~ spl0_32
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2513,f308]) ).

fof(f2523,plain,
    ( e10 = e11
    | ~ spl0_32
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2518,f67]) ).

fof(f2524,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[],[f2523,f19]) ).

fof(f2525,plain,
    ( ~ spl0_32
    | ~ spl0_48 ),
    inference(avatar_contradiction_clause,[],[f2524]) ).

fof(f2536,plain,
    ( e12 = op1(e12,e12)
    | ~ spl0_33
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2513,f312]) ).

fof(f2552,plain,
    ( e10 = e12
    | ~ spl0_33
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2536,f67]) ).

fof(f2554,plain,
    ( $false
    | ~ spl0_33
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[],[f2552,f18]) ).

fof(f2555,plain,
    ( ~ spl0_33
    | ~ spl0_48 ),
    inference(avatar_contradiction_clause,[],[f2554]) ).

fof(f2610,plain,
    ( j(op2(e24,e21)) = op1(j(e24),e12)
    | ~ spl0_33 ),
    inference(superposition,[],[f128,f312]) ).

fof(f2612,plain,
    ( op1(e11,e12) = j(op2(e24,e21))
    | ~ spl0_33
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2610,f371]) ).

fof(f2613,plain,
    ( op1(e11,e12) = j(e23)
    | ~ spl0_33
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2612,f83]) ).

fof(f2614,plain,
    ( e14 = op1(e11,e12)
    | ~ spl0_33
    | ~ spl0_45
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2613,f362]) ).

fof(f2615,plain,
    ( e13 = e14
    | ~ spl0_33
    | ~ spl0_45
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2614,f72]) ).

fof(f2616,plain,
    ( $false
    | ~ spl0_33
    | ~ spl0_45
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f2615,f10]) ).

fof(f2617,plain,
    ( ~ spl0_33
    | ~ spl0_45
    | ~ spl0_47 ),
    inference(avatar_contradiction_clause,[],[f2616]) ).

fof(f2621,plain,
    ( e10 = e12
    | ~ spl0_26
    | ~ spl0_40
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2188,f283]) ).

fof(f2637,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_40
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f2621,f18]) ).

fof(f2638,plain,
    ( ~ spl0_26
    | ~ spl0_40
    | ~ spl0_47 ),
    inference(avatar_contradiction_clause,[],[f2637]) ).

fof(f2665,plain,
    ( j(op2(e24,e22)) = op1(j(e24),e10)
    | ~ spl0_36 ),
    inference(superposition,[],[f127,f325]) ).

fof(f2667,plain,
    ( op1(e11,e10) = j(op2(e24,e22))
    | ~ spl0_36
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2665,f371]) ).

fof(f2668,plain,
    ( op1(e11,e10) = j(e20)
    | ~ spl0_36
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2667,f82]) ).

fof(f2669,plain,
    ( e14 = op1(e11,e10)
    | ~ spl0_30
    | ~ spl0_36
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2668,f299]) ).

fof(f2670,plain,
    ( e11 = e14
    | ~ spl0_30
    | ~ spl0_36
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2669,f74]) ).

fof(f2671,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_36
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f2670,f13]) ).

fof(f2672,plain,
    ( ~ spl0_30
    | ~ spl0_36
    | ~ spl0_47 ),
    inference(avatar_contradiction_clause,[],[f2671]) ).

fof(f2697,plain,
    ( j(op2(e24,e23)) = op1(j(e24),e10)
    | ~ spl0_41 ),
    inference(superposition,[],[f126,f346]) ).

fof(f2699,plain,
    ( op1(e11,e10) = j(op2(e24,e23))
    | ~ spl0_41
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2697,f371]) ).

fof(f2700,plain,
    ( op1(e11,e10) = j(e22)
    | ~ spl0_41
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2699,f81]) ).

fof(f2701,plain,
    ( e13 = op1(e11,e10)
    | ~ spl0_39
    | ~ spl0_41
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2700,f337]) ).

fof(f2702,plain,
    ( e11 = e13
    | ~ spl0_39
    | ~ spl0_41
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2701,f74]) ).

fof(f2703,plain,
    ( $false
    | ~ spl0_39
    | ~ spl0_41
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f2702,f14]) ).

fof(f2704,plain,
    ( ~ spl0_39
    | ~ spl0_41
    | ~ spl0_47 ),
    inference(avatar_contradiction_clause,[],[f2703]) ).

fof(f2743,plain,
    ( j(op2(e24,e21)) = op1(j(e24),e10)
    | ~ spl0_31 ),
    inference(superposition,[],[f128,f304]) ).

fof(f2745,plain,
    ( op1(e11,e10) = j(op2(e24,e21))
    | ~ spl0_31
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2743,f371]) ).

fof(f2746,plain,
    ( op1(e11,e10) = j(e23)
    | ~ spl0_31
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2745,f83]) ).

fof(f2747,plain,
    ( e12 = op1(e11,e10)
    | ~ spl0_31
    | ~ spl0_43
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2746,f354]) ).

fof(f2748,plain,
    ( e11 = e12
    | ~ spl0_31
    | ~ spl0_43
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2747,f74]) ).

fof(f2749,plain,
    ( $false
    | ~ spl0_31
    | ~ spl0_43
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f2748,f15]) ).

fof(f2750,plain,
    ( ~ spl0_31
    | ~ spl0_43
    | ~ spl0_47 ),
    inference(avatar_contradiction_clause,[],[f2749]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4
    | spl0_5 ),
    inference(sat_conversion,[],[f195]) ).

cnf(s2,plain,
    ( spl0_6
    | spl0_7
    | spl0_8
    | spl0_9
    | spl0_10 ),
    inference(sat_conversion,[],[f216]) ).

cnf(s4,plain,
    ( spl0_16
    | spl0_17
    | spl0_18
    | spl0_19
    | spl0_20 ),
    inference(sat_conversion,[],[f258]) ).

cnf(s5,plain,
    ( spl0_21
    | spl0_22
    | spl0_23
    | spl0_24
    | spl0_25 ),
    inference(sat_conversion,[],[f279]) ).

cnf(s6,plain,
    ( spl0_26
    | spl0_27
    | spl0_28
    | spl0_29
    | spl0_30 ),
    inference(sat_conversion,[],[f300]) ).

cnf(s7,plain,
    ( spl0_31
    | spl0_32
    | spl0_33
    | spl0_34
    | spl0_35 ),
    inference(sat_conversion,[],[f321]) ).

cnf(s8,plain,
    ( spl0_36
    | spl0_37
    | spl0_38
    | spl0_39
    | spl0_40 ),
    inference(sat_conversion,[],[f342]) ).

cnf(s9,plain,
    ( spl0_41
    | spl0_42
    | spl0_43
    | spl0_44
    | spl0_45 ),
    inference(sat_conversion,[],[f363]) ).

cnf(s10,plain,
    ( spl0_46
    | spl0_47
    | spl0_48
    | spl0_49
    | spl0_50 ),
    inference(sat_conversion,[],[f384]) ).

cnf(s11,plain,
    ( ~ spl0_21
    | ~ spl0_26 ),
    inference(sat_conversion,[],[f388]) ).

cnf(s12,plain,
    ( ~ spl0_22
    | ~ spl0_31 ),
    inference(sat_conversion,[],[f393]) ).

cnf(s13,plain,
    ( ~ spl0_23
    | ~ spl0_36 ),
    inference(sat_conversion,[],[f399]) ).

cnf(s14,plain,
    ( ~ spl0_24
    | ~ spl0_41 ),
    inference(sat_conversion,[],[f406]) ).

cnf(s15,plain,
    ( ~ spl0_25
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f414]) ).

cnf(s16,plain,
    ( ~ spl0_21
    | spl0_30 ),
    inference(sat_conversion,[],[f415]) ).

cnf(s17,plain,
    ( ~ spl0_27
    | ~ spl0_30 ),
    inference(sat_conversion,[],[f419]) ).

cnf(s18,plain,
    ( ~ spl0_16
    | spl0_29 ),
    inference(sat_conversion,[],[f427]) ).

cnf(s19,plain,
    ( ~ spl0_17
    | ~ spl0_31 ),
    inference(sat_conversion,[],[f432]) ).

cnf(s21,plain,
    ( ~ spl0_19
    | ~ spl0_41 ),
    inference(sat_conversion,[],[f445]) ).

cnf(s25,plain,
    ( ~ spl0_29
    | ~ spl0_30 ),
    inference(sat_conversion,[],[f466]) ).

cnf(s26,plain,
    ( ~ spl0_22
    | spl0_35 ),
    inference(sat_conversion,[],[f467]) ).

cnf(s32,plain,
    ( ~ spl0_10
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f500]) ).

cnf(s39,plain,
    ( ~ spl0_9
    | spl0_42 ),
    inference(sat_conversion,[],[f531]) ).

cnf(s40,plain,
    ( ~ spl0_7
    | spl0_32 ),
    inference(sat_conversion,[],[f536]) ).

cnf(s44,plain,
    ( ~ spl0_35
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f563]) ).

cnf(s45,plain,
    ( ~ spl0_4
    | spl0_41 ),
    inference(sat_conversion,[],[f564]) ).

cnf(s47,plain,
    ( ~ spl0_13
    | ~ spl0_43 ),
    inference(sat_conversion,[],[f574]) ).

cnf(s55,plain,
    ( ~ spl0_35
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f608]) ).

cnf(s60,plain,
    ( ~ spl0_7
    | ~ spl0_37 ),
    inference(sat_conversion,[],[f633]) ).

cnf(s62,plain,
    ( spl0_8
    | ~ spl0_37 ),
    inference(sat_conversion,[],[f637]) ).

cnf(s64,plain,
    ( spl0_7
    | ~ spl0_32 ),
    inference(sat_conversion,[],[f653]) ).

cnf(s66,plain,
    ( spl0_19
    | ~ spl0_44 ),
    inference(sat_conversion,[],[f665]) ).

cnf(s69,plain,
    ( ~ spl0_35
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f678]) ).

cnf(s70,plain,
    ( ~ spl0_6
    | spl0_27 ),
    inference(sat_conversion,[],[f679]) ).

cnf(s81,plain,
    ( ~ spl0_1
    | spl0_26 ),
    inference(sat_conversion,[],[f730]) ).

cnf(s83,plain,
    ( ~ spl0_35
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f758]) ).

cnf(s86,plain,
    ( spl0_17
    | ~ spl0_34 ),
    inference(sat_conversion,[],[f776]) ).

cnf(s88,plain,
    ( ~ spl0_1
    | ~ spl0_31 ),
    inference(sat_conversion,[],[f791]) ).

cnf(s89,plain,
    ( spl0_1
    | ~ spl0_26 ),
    inference(sat_conversion,[],[f795]) ).

cnf(s91,plain,
    ( spl0_16
    | ~ spl0_29 ),
    inference(sat_conversion,[],[f802]) ).

cnf(s93,plain,
    ( ~ spl0_16
    | ~ spl0_20 ),
    inference(sat_conversion,[],[f817]) ).

cnf(s99,plain,
    ( ~ spl0_17
    | spl0_34 ),
    inference(sat_conversion,[],[f842]) ).

cnf(s100,plain,
    ( ~ spl0_34
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f865]) ).

cnf(s103,plain,
    ( ~ spl0_25
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f877]) ).

cnf(s104,plain,
    ( ~ spl0_17
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f884]) ).

cnf(s106,plain,
    ( ~ spl0_25
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f888]) ).

cnf(s107,plain,
    ( ~ spl0_9
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f895]) ).

cnf(s109,plain,
    ( ~ spl0_25
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f899]) ).

cnf(s110,plain,
    ( ~ spl0_24
    | ~ spl0_42 ),
    inference(sat_conversion,[],[f907]) ).

cnf(s111,plain,
    ( ~ spl0_1
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f909]) ).

cnf(s112,plain,
    ( ~ spl0_2
    | spl0_31 ),
    inference(sat_conversion,[],[f910]) ).

cnf(s121,plain,
    ( ~ spl0_8
    | spl0_37 ),
    inference(sat_conversion,[],[f974]) ).

cnf(s127,plain,
    ( ~ spl0_29
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f1039]) ).

cnf(s129,plain,
    ( ~ spl0_19
    | spl0_44 ),
    inference(sat_conversion,[],[f1041]) ).

cnf(s130,plain,
    ( ~ spl0_28
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f1061]) ).

cnf(s135,plain,
    ( ~ spl0_27
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f1080]) ).

cnf(s140,plain,
    ( ~ spl0_32
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f1102]) ).

cnf(s145,plain,
    ( ~ spl0_33
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f1121]) ).

cnf(s153,plain,
    ( ~ spl0_35
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f1150]) ).

cnf(s158,plain,
    ( ~ spl0_20
    | spl0_49 ),
    inference(sat_conversion,[],[f1155]) ).

cnf(s165,plain,
    ( ~ spl0_30
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f1187]) ).

cnf(s170,plain,
    ( spl0_13
    | ~ spl0_38 ),
    inference(sat_conversion,[],[f1192]) ).

cnf(s172,plain,
    ( ~ spl0_23
    | spl0_40 ),
    inference(sat_conversion,[],[f1210]) ).

cnf(s173,plain,
    ( ~ spl0_39
    | ~ spl0_40 ),
    inference(sat_conversion,[],[f1217]) ).

cnf(s174,plain,
    ( ~ spl0_32
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f1280]) ).

cnf(s178,plain,
    ( ~ spl0_33
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f1291]) ).

cnf(s184,plain,
    ( ~ spl0_27
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f1312]) ).

cnf(s186,plain,
    ( ~ spl0_31
    | ~ spl0_45
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f1334]) ).

cnf(s188,plain,
    ( ~ spl0_28
    | ~ spl0_40
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f1339]) ).

cnf(s194,plain,
    ( ~ spl0_2
    | ~ spl0_41 ),
    inference(sat_conversion,[],[f1367]) ).

cnf(s202,plain,
    ( ~ spl0_30
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f1395]) ).

cnf(s203,plain,
    ( ~ spl0_5
    | spl0_46 ),
    inference(sat_conversion,[],[f1396]) ).

cnf(s209,plain,
    ( ~ spl0_40
    | ~ spl0_42
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f1458]) ).

cnf(s212,plain,
    ( ~ spl0_34
    | ~ spl0_45
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f1466]) ).

cnf(s213,plain,
    ( spl0_4
    | ~ spl0_41 ),
    inference(sat_conversion,[],[f1467]) ).

cnf(s217,plain,
    ( ~ spl0_4
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f1484]) ).

cnf(s226,plain,
    ( ~ spl0_40
    | ~ spl0_43
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f1531]) ).

cnf(s232,plain,
    ( ~ spl0_30
    | ~ spl0_37
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f1563]) ).

cnf(s235,plain,
    ( ~ spl0_39
    | ~ spl0_43
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f1571]) ).

cnf(s236,plain,
    ( spl0_3
    | ~ spl0_36 ),
    inference(sat_conversion,[],[f1573]) ).

cnf(s239,plain,
    ( ~ spl0_3
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f1590]) ).

cnf(s243,plain,
    ( ~ spl0_7
    | ~ spl0_42 ),
    inference(sat_conversion,[],[f1605]) ).

cnf(s244,plain,
    ( ~ spl0_30
    | ~ spl0_38
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f1628]) ).

cnf(s248,plain,
    ( ~ spl0_30
    | ~ spl0_39
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f1665]) ).

cnf(s255,plain,
    ( ~ spl0_33
    | ~ spl0_45
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f1684]) ).

cnf(s258,plain,
    ( ~ spl0_32
    | ~ spl0_45
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f1718]) ).

cnf(s263,plain,
    ( spl0_2
    | ~ spl0_31 ),
    inference(sat_conversion,[],[f1723]) ).

cnf(s266,plain,
    ( ~ spl0_2
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f1744]) ).

cnf(s282,plain,
    ( ~ spl0_32
    | ~ spl0_44
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f1803]) ).

cnf(s290,plain,
    ( ~ spl0_17
    | ~ spl0_19 ),
    inference(sat_conversion,[],[f1820]) ).

cnf(s296,plain,
    ( ~ spl0_33
    | ~ spl0_44
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f1856]) ).

cnf(s315,plain,
    ( ~ spl0_7
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f1880]) ).

cnf(s320,plain,
    ( ~ spl0_31
    | ~ spl0_44
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f1914]) ).

cnf(s326,plain,
    ( ~ spl0_28
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f1929]) ).

cnf(s327,plain,
    ( ~ spl0_31
    | ~ spl0_44
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f1931]) ).

cnf(s333,plain,
    ( spl0_9
    | ~ spl0_42 ),
    inference(sat_conversion,[],[f1936]) ).

cnf(s337,plain,
    ( ~ spl0_29
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f1976]) ).

cnf(s342,plain,
    ( ~ spl0_18
    | spl0_39 ),
    inference(sat_conversion,[],[f1978]) ).

cnf(s344,plain,
    ( ~ spl0_24
    | spl0_45 ),
    inference(sat_conversion,[],[f1979]) ).

cnf(s346,plain,
    ( ~ spl0_31
    | ~ spl0_45
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f1994]) ).

cnf(s371,plain,
    ( ~ spl0_6
    | ~ spl0_42 ),
    inference(sat_conversion,[],[f2061]) ).

cnf(s383,plain,
    ( ~ spl0_34
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f2120]) ).

cnf(s415,plain,
    ( ~ spl0_40
    | ~ spl0_41
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f2216]) ).

cnf(s416,plain,
    ( ~ spl0_3
    | spl0_36 ),
    inference(sat_conversion,[],[f2217]) ).

cnf(s427,plain,
    ( ~ spl0_34
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f2299]) ).

cnf(s438,plain,
    ( ~ spl0_31
    | ~ spl0_45
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f2322]) ).

cnf(s456,plain,
    ( spl0_20
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f2331]) ).

cnf(s457,plain,
    ( ~ spl0_37
    | ~ spl0_40 ),
    inference(sat_conversion,[],[f2341]) ).

cnf(s471,plain,
    ( ~ spl0_30
    | ~ spl0_39
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f2395]) ).

cnf(s501,plain,
    ( ~ spl0_32
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f2525]) ).

cnf(s511,plain,
    ( ~ spl0_33
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f2555]) ).

cnf(s527,plain,
    ( ~ spl0_33
    | ~ spl0_45
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f2617]) ).

cnf(s545,plain,
    ( ~ spl0_26
    | ~ spl0_40
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f2638]) ).

cnf(s555,plain,
    ( ~ spl0_30
    | ~ spl0_36
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f2672]) ).

cnf(s566,plain,
    ( ~ spl0_39
    | ~ spl0_41
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f2704]) ).

cnf(s586,plain,
    ( ~ spl0_31
    | ~ spl0_43
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f2750]) ).

cnf(s587,plain,
    ( spl0_8
    | spl0_7
    | spl0_6
    | ~ spl0_46
    | spl0_36 ),
    inference(rat,[],[s8,s244,s248,s16,s5,s172,s110,s209,s39,s2,s62,s32,s15,s26,s44]) ).

cnf(s588,plain,
    ( spl0_7
    | spl0_6
    | ~ spl0_46
    | spl0_36
    | spl0_31 ),
    inference(rat,[],[s7,s212,s255,s344,s5,s16,s172,s232,s457,s121,s587,s64,s15,s26,s44]) ).

cnf(s589,plain,
    ( ~ spl0_7
    | ~ spl0_46
    | spl0_41
    | spl0_36 ),
    inference(rat,[],[s170,s8,s47,s226,s235,s9,s258,s282,s40,s60,s243]) ).

cnf(s590,plain,
    ( ~ spl0_45
    | spl0_32
    | ~ spl0_46
    | spl0_31 ),
    inference(rat,[],[s7,s212,s255,s44]) ).

cnf(s591,plain,
    ( spl0_4
    | spl0_3
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s86,s290,s7,s66,s296,s9,s226,s172,s5,s344,s590,s16,s17,s70,s371,s588,s64,s589,s26,s15,s44,s203,s1,s213,s263,s236]) ).

cnf(s592,plain,
    ( ~ spl0_50
    | spl0_35
    | spl0_32
    | spl0_31 ),
    inference(rat,[],[s7,s100,s145]) ).

cnf(s595,plain,
    ( ~ spl0_35
    | spl0_46 ),
    inference(rat,[],[s10,s55,s69,s83,s153]) ).

cnf(s596,plain,
    ( ~ spl0_48
    | spl0_32
    | spl0_35
    | spl0_31 ),
    inference(rat,[],[s7,s383,s511]) ).

cnf(s598,plain,
    ( ~ spl0_30
    | spl0_48
    | spl0_50
    | ~ spl0_4 ),
    inference(rat,[],[s4,s342,s99,s566,s427,s18,s10,s158,s25,s202,s217,s21,s45]) ).

cnf(s599,plain,
    ( ~ spl0_49
    | spl0_32
    | spl0_35
    | spl0_31 ),
    inference(rat,[],[s86,s7,s104,s178]) ).

cnf(s600,plain,
    ( spl0_32
    | ~ spl0_4
    | spl0_31 ),
    inference(rat,[],[s172,s5,s415,s109,s10,s599,s16,s598,s596,s592,s14,s45,s26,s595,s217]) ).

cnf(s601,plain,
    ( ~ spl0_4
    | spl0_31 ),
    inference(rat,[],[s315,s10,s64,s140,s174,s501,s600,s217]) ).

cnf(s602,plain,
    ( spl0_32
    | spl0_46
    | ~ spl0_36
    | spl0_31 ),
    inference(rat,[],[s344,s5,s527,s16,s7,s555,s109,s427,s10,s592,s599,s596,s13,s26,s595]) ).

cnf(s603,plain,
    ( spl0_46
    | spl0_31
    | ~ spl0_36 ),
    inference(rat,[],[s315,s10,s64,s140,s174,s501,s602]) ).

cnf(s604,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s603,s239,s416,s591,s601,s263]) ).

cnf(s605,plain,
    ( ~ spl0_39
    | spl0_24
    | ~ spl0_48
    | spl0_22 ),
    inference(rat,[],[s5,s172,s16,s173,s471,s103]) ).

cnf(s606,plain,
    ( ~ spl0_48
    | spl0_1 ),
    inference(rat,[],[s6,s184,s202,s158,s4,s342,s605,s129,s344,s18,s327,s346,s326,s337,s89,s19,s12,s112,s604]) ).

cnf(s607,plain,
    ( ~ spl0_50
    | spl0_26 ),
    inference(rat,[],[s6,s127,s130,s135,s165]) ).

cnf(s608,plain,
    ( ~ spl0_49
    | spl0_1 ),
    inference(rat,[],[s188,s172,s6,s5,s91,s344,s16,s93,s186,s106,s184,s202,s456,s89,s12,s112,s604]) ).

cnf(s609,plain,
    spl0_1,
    inference(rat,[],[s9,s333,s320,s438,s586,s107,s10,s608,s607,s606,s112,s194,s266,s604,s89]) ).

cnf(s610,plain,
    ~ spl0_46,
    inference(rat,[],[s111,s609]) ).

cnf(s611,plain,
    ~ spl0_31,
    inference(rat,[],[s88,s609]) ).

cnf(s612,plain,
    spl0_26,
    inference(rat,[],[s81,s609]) ).

cnf(s614,plain,
    ~ spl0_35,
    inference(rat,[],[s595,s610]) ).

cnf(s623,plain,
    ~ spl0_21,
    inference(rat,[],[s11,s612]) ).

cnf(s624,plain,
    ~ spl0_22,
    inference(rat,[],[s26,s614]) ).

cnf(s629,plain,
    ~ spl0_48,
    inference(rat,[],[s596,s501,s614,s611]) ).

cnf(s631,plain,
    ~ spl0_50,
    inference(rat,[],[s592,s140,s614,s611]) ).

cnf(s632,plain,
    ~ spl0_47,
    inference(rat,[],[s344,s527,s5,s7,s172,s64,s545,s109,s315,s427,s623,s624,s614,s611,s612]) ).

cnf(s634,plain,
    spl0_49,
    inference(rat,[],[s10,s631,s610,s629,s632]) ).

cnf(s637,plain,
    ~ spl0_32,
    inference(rat,[],[s174,s634]) ).

cnf(s640,plain,
    $false,
    inference(rat,[],[s599,s611,s614,s637,s634]) ).

fof(f2751,plain,
    $false,
    inference(avatar_sat_refutation,[],[s640]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : ALG088+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.19  % Computer : n017.cluster.edu
% 0.11/0.19  % Model    : x86_64 x86_64
% 0.11/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.19  % Memory   : 8046.5625MB
% 0.11/0.19  % OS       : Linux 6.8.0-71-generic
% 0.11/0.19  % CPULimit : 300
% 0.11/0.19  % WCLimit  : 300
% 0.11/0.19  % DateTime : Mon Sep 28 19:21:07 UTC 2026
% 0.11/0.19  % CPUTime  : 
% 0.11/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.22  Running first-order model finding
% 0.11/0.22  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.34  % (3920110)Will run a generic schedule for satisfiability detection.
% 0.11/0.34  % (3920115)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=566967485_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.34  % Detected minimum model sizes of [10]
% 0.11/0.34  % Detected maximum model sizes of [max]
% 0.11/0.34  % TRYING [10]
% 0.11/0.34  % (3920116)% WARNING: option uhcvi not known.
% 0.11/0.34  % (3920119)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=843570226:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.34  % (3920120)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3546682366:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.34  % (3920116)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3784807150:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.34  % (3920117)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1277002768:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.34  % (3920118)dis+10_1_sil=32000:sp=arity:random_seed=1095572101:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.34  % (3920121)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4024430631:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.34  % (3920119) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3920110-3920119"...
% 0.11/0.34  % TRYING [11]
% 0.11/0.34  % (3920119)...printing done.
% 0.11/0.34  % (3920119)Refutation found. Thanks to Tanya!
% 0.11/0.34  % SZS status Theorem for theBenchmark
% 0.11/0.34  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.35  % (3920119)------------------------------
% 0.19/0.35  % (3920119)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.35  % (3920119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.35  % (3920119)CaDiCaL version: 2.1.3
% 0.19/0.35  % (3920119)Termination reason: Refutation
% 0.19/0.35  % (3920119)Time elapsed: 0.073 s
% 0.19/0.35  % (3920119)Peak memory usage: 13 MB
% 0.19/0.35  % (3920119)Instructions burned: 94 (million)
% 0.19/0.35  % (3920110)Success in time 0.115 s
% 0.19/0.35  % Vampire exiting
%------------------------------------------------------------------------------