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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ALG180+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n019.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 09:18:06 AM UTC 2026

% Result   : Theorem 2.92s 1.09s
% Output   : Refutation 3.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :   50
% Syntax   : Number of formulae    :  764 (  89 unt;  45 def)
%            Number of atoms       : 2470 ( 955 equ)
%            Maximal formula atoms :  110 (   3 avg)
%            Number of connectives : 2946 (1240   ~;1319   |; 340   &)
%                                         (  45 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   70 (   4 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :   47 (  45 usr;  46 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/sandbox/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/sandbox/benchmark/theBenchmark.p',ax2) ).

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

fof(f5,axiom,
    ( op2(e20,e20) = e24
    & op2(e20,e21) = e22
    & op2(e20,e22) = e20
    & op2(e20,e23) = e21
    & op2(e20,e24) = e23
    & op2(e21,e20) = e20
    & op2(e21,e21) = e21
    & op2(e21,e22) = e22
    & op2(e21,e23) = e23
    & op2(e21,e24) = e24
    & op2(e22,e20) = e21
    & op2(e22,e21) = e24
    & op2(e22,e22) = e23
    & op2(e22,e23) = e20
    & op2(e22,e24) = e22
    & op2(e23,e20) = e23
    & op2(e23,e21) = e20
    & op2(e23,e22) = e24
    & op2(e23,e23) = e22
    & op2(e23,e24) = e21
    & op2(e24,e20) = e22
    & op2(e24,e21) = e23
    & op2(e24,e22) = e21
    & op2(e24,e23) = e24
    & op2(e24,e24) = e20 ),
    file('/export/starexec/sandbox/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/sandbox/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,
    ( e10 = j(e24)
    | e11 = j(e24)
    | e12 = j(e24)
    | e13 = j(e24)
    | e14 = j(e24) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f11,plain,
    ( e10 = j(e23)
    | e11 = j(e23)
    | e12 = j(e23)
    | e13 = j(e23)
    | e14 = j(e23) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f12,plain,
    ( e10 = j(e22)
    | e11 = j(e22)
    | e12 = j(e22)
    | e13 = j(e22)
    | e14 = j(e22) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f13,plain,
    ( e10 = j(e21)
    | e11 = j(e21)
    | e12 = j(e21)
    | e13 = j(e21)
    | e14 = j(e21) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f14,plain,
    ( e10 = j(e20)
    | e11 = j(e20)
    | e12 = j(e20)
    | e13 = j(e20)
    | e14 = j(e20) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f15,plain,
    ( e20 = h(e14)
    | e21 = h(e14)
    | e22 = h(e14)
    | e23 = h(e14)
    | e24 = h(e14) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f17,plain,
    ( e20 = h(e12)
    | e21 = h(e12)
    | e22 = h(e12)
    | e23 = h(e12)
    | e24 = h(e12) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f18,plain,
    ( e20 = h(e11)
    | e21 = h(e11)
    | e22 = h(e11)
    | e23 = h(e11)
    | e24 = h(e11) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f19,plain,
    ( e20 = h(e10)
    | e21 = h(e10)
    | e22 = h(e10)
    | e23 = h(e10)
    | e24 = h(e10) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f20,plain,
    e14 = j(h(e14)),
    inference(cnf_transformation,[],[f9]) ).

fof(f22,plain,
    e12 = j(h(e12)),
    inference(cnf_transformation,[],[f9]) ).

fof(f23,plain,
    e11 = j(h(e11)),
    inference(cnf_transformation,[],[f9]) ).

fof(f24,plain,
    e10 = j(h(e10)),
    inference(cnf_transformation,[],[f9]) ).

fof(f25,plain,
    e24 = h(j(e24)),
    inference(cnf_transformation,[],[f9]) ).

fof(f26,plain,
    e23 = h(j(e23)),
    inference(cnf_transformation,[],[f9]) ).

fof(f27,plain,
    e22 = h(j(e22)),
    inference(cnf_transformation,[],[f9]) ).

fof(f28,plain,
    e21 = h(j(e21)),
    inference(cnf_transformation,[],[f9]) ).

fof(f29,plain,
    e20 = h(j(e20)),
    inference(cnf_transformation,[],[f9]) ).

fof(f30,plain,
    j(op2(e24,e24)) = op1(j(e24),j(e24)),
    inference(cnf_transformation,[],[f9]) ).

fof(f31,plain,
    j(op2(e24,e23)) = op1(j(e24),j(e23)),
    inference(cnf_transformation,[],[f9]) ).

fof(f32,plain,
    j(op2(e24,e22)) = op1(j(e24),j(e22)),
    inference(cnf_transformation,[],[f9]) ).

fof(f33,plain,
    j(op2(e24,e21)) = op1(j(e24),j(e21)),
    inference(cnf_transformation,[],[f9]) ).

fof(f34,plain,
    j(op2(e24,e20)) = op1(j(e24),j(e20)),
    inference(cnf_transformation,[],[f9]) ).

fof(f80,plain,
    e20 = op2(e24,e24),
    inference(cnf_transformation,[],[f5]) ).

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

fof(f82,plain,
    e21 = op2(e24,e22),
    inference(cnf_transformation,[],[f5]) ).

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

fof(f84,plain,
    e22 = op2(e24,e20),
    inference(cnf_transformation,[],[f5]) ).

fof(f105,plain,
    e11 = op1(e14,e14),
    inference(cnf_transformation,[],[f4]) ).

fof(f106,plain,
    e13 = op1(e14,e13),
    inference(cnf_transformation,[],[f4]) ).

fof(f108,plain,
    e10 = op1(e14,e11),
    inference(cnf_transformation,[],[f4]) ).

fof(f109,plain,
    e12 = op1(e14,e10),
    inference(cnf_transformation,[],[f4]) ).

fof(f110,plain,
    e12 = op1(e13,e14),
    inference(cnf_transformation,[],[f4]) ).

fof(f111,plain,
    e10 = op1(e13,e13),
    inference(cnf_transformation,[],[f4]) ).

fof(f112,plain,
    e13 = op1(e13,e12),
    inference(cnf_transformation,[],[f4]) ).

fof(f113,plain,
    e11 = op1(e13,e11),
    inference(cnf_transformation,[],[f4]) ).

fof(f115,plain,
    e10 = op1(e12,e14),
    inference(cnf_transformation,[],[f4]) ).

fof(f117,plain,
    e12 = op1(e12,e12),
    inference(cnf_transformation,[],[f4]) ).

fof(f118,plain,
    e13 = op1(e12,e11),
    inference(cnf_transformation,[],[f4]) ).

fof(f119,plain,
    e11 = op1(e12,e10),
    inference(cnf_transformation,[],[f4]) ).

fof(f121,plain,
    e12 = op1(e11,e13),
    inference(cnf_transformation,[],[f4]) ).

fof(f122,plain,
    e11 = op1(e11,e12),
    inference(cnf_transformation,[],[f4]) ).

fof(f124,plain,
    e10 = op1(e11,e10),
    inference(cnf_transformation,[],[f4]) ).

fof(f126,plain,
    e11 = op1(e10,e13),
    inference(cnf_transformation,[],[f4]) ).

fof(f127,plain,
    e10 = op1(e10,e12),
    inference(cnf_transformation,[],[f4]) ).

fof(f128,plain,
    e12 = op1(e10,e11),
    inference(cnf_transformation,[],[f4]) ).

fof(f129,plain,
    e13 = op1(e10,e10),
    inference(cnf_transformation,[],[f4]) ).

fof(f155,plain,
    e23 != e24,
    inference(cnf_transformation,[],[f2]) ).

fof(f156,plain,
    e22 != e24,
    inference(cnf_transformation,[],[f2]) ).

fof(f157,plain,
    e22 != e23,
    inference(cnf_transformation,[],[f2]) ).

fof(f158,plain,
    e21 != e24,
    inference(cnf_transformation,[],[f2]) ).

fof(f159,plain,
    e21 != e23,
    inference(cnf_transformation,[],[f2]) ).

fof(f160,plain,
    e21 != e22,
    inference(cnf_transformation,[],[f2]) ).

fof(f163,plain,
    e20 != e22,
    inference(cnf_transformation,[],[f2]) ).

fof(f164,plain,
    e20 != e21,
    inference(cnf_transformation,[],[f2]) ).

fof(f165,plain,
    e13 != e14,
    inference(cnf_transformation,[],[f1]) ).

fof(f166,plain,
    e12 != e14,
    inference(cnf_transformation,[],[f1]) ).

fof(f167,plain,
    e12 != e13,
    inference(cnf_transformation,[],[f1]) ).

fof(f168,plain,
    e11 != e14,
    inference(cnf_transformation,[],[f1]) ).

fof(f169,plain,
    e11 != e13,
    inference(cnf_transformation,[],[f1]) ).

fof(f170,plain,
    e11 != e12,
    inference(cnf_transformation,[],[f1]) ).

fof(f171,plain,
    e10 != e14,
    inference(cnf_transformation,[],[f1]) ).

fof(f172,plain,
    e10 != e13,
    inference(cnf_transformation,[],[f1]) ).

fof(f173,plain,
    e10 != e12,
    inference(cnf_transformation,[],[f1]) ).

fof(f174,plain,
    e10 != e11,
    inference(cnf_transformation,[],[f1]) ).

fof(f176,definition,
    ( spl0_1
  <=> e14 = j(e24) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f177,plain,
    ( e14 != j(e24)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f176]) ).

fof(f178,plain,
    ( e14 = j(e24)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f176]) ).

fof(f180,definition,
    ( spl0_2
  <=> e13 = j(e24) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f182,plain,
    ( e13 = j(e24)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f180]) ).

fof(f184,definition,
    ( spl0_3
  <=> e12 = j(e24) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f186,plain,
    ( e12 = j(e24)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f184]) ).

fof(f188,definition,
    ( spl0_4
  <=> e11 = j(e24) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f190,plain,
    ( e11 = j(e24)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f188]) ).

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

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

fof(f195,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f10,f192,f188,f184,f180,f176]) ).

fof(f197,definition,
    ( spl0_6
  <=> e14 = j(e23) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f198,plain,
    ( e14 != j(e23)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f197]) ).

fof(f199,plain,
    ( e14 = j(e23)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f197]) ).

fof(f201,definition,
    ( spl0_7
  <=> e13 = j(e23) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f203,plain,
    ( e13 = j(e23)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f201]) ).

fof(f205,definition,
    ( spl0_8
  <=> e12 = j(e23) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f206,plain,
    ( e12 != j(e23)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f205]) ).

fof(f207,plain,
    ( e12 = j(e23)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f205]) ).

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

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

fof(f213,definition,
    ( spl0_10
  <=> e10 = j(e23) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f215,plain,
    ( e10 = j(e23)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f213]) ).

fof(f216,plain,
    ( spl0_6
    | spl0_7
    | spl0_8
    | spl0_9
    | spl0_10 ),
    inference(avatar_split_clause,[],[f11,f213,f209,f205,f201,f197]) ).

fof(f218,definition,
    ( spl0_11
  <=> e14 = j(e22) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f219,plain,
    ( e14 != j(e22)
    | spl0_11 ),
    inference(avatar_component_clause,[],[f218]) ).

fof(f220,plain,
    ( e14 = j(e22)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f218]) ).

fof(f222,definition,
    ( spl0_12
  <=> e13 = j(e22) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f224,plain,
    ( e13 = j(e22)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f222]) ).

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

fof(f227,plain,
    ( e12 != j(e22)
    | spl0_13 ),
    inference(avatar_component_clause,[],[f226]) ).

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

fof(f230,definition,
    ( spl0_14
  <=> e11 = j(e22) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f232,plain,
    ( e11 = j(e22)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f230]) ).

fof(f234,definition,
    ( spl0_15
  <=> e10 = j(e22) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f236,plain,
    ( e10 = j(e22)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f234]) ).

fof(f237,plain,
    ( spl0_11
    | spl0_12
    | spl0_13
    | spl0_14
    | spl0_15 ),
    inference(avatar_split_clause,[],[f12,f234,f230,f226,f222,f218]) ).

fof(f239,definition,
    ( spl0_16
  <=> e14 = j(e21) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f240,plain,
    ( e14 != j(e21)
    | spl0_16 ),
    inference(avatar_component_clause,[],[f239]) ).

fof(f241,plain,
    ( e14 = j(e21)
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f239]) ).

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

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

fof(f247,definition,
    ( spl0_18
  <=> e12 = j(e21) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f249,plain,
    ( e12 = j(e21)
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f247]) ).

fof(f251,definition,
    ( spl0_19
  <=> e11 = j(e21) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f253,plain,
    ( e11 = j(e21)
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f255,definition,
    ( spl0_20
  <=> e10 = j(e21) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f257,plain,
    ( e10 = j(e21)
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f255]) ).

fof(f258,plain,
    ( spl0_16
    | spl0_17
    | spl0_18
    | spl0_19
    | spl0_20 ),
    inference(avatar_split_clause,[],[f13,f255,f251,f247,f243,f239]) ).

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

fof(f261,plain,
    ( e14 != j(e20)
    | spl0_21 ),
    inference(avatar_component_clause,[],[f260]) ).

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

fof(f264,definition,
    ( spl0_22
  <=> e13 = j(e20) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f266,plain,
    ( e13 = j(e20)
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f268,definition,
    ( spl0_23
  <=> e12 = j(e20) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f270,plain,
    ( e12 = j(e20)
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f268]) ).

fof(f272,definition,
    ( spl0_24
  <=> e11 = j(e20) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f274,plain,
    ( e11 = j(e20)
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f272]) ).

fof(f276,definition,
    ( spl0_25
  <=> e10 = j(e20) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f278,plain,
    ( e10 = j(e20)
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f276]) ).

fof(f279,plain,
    ( spl0_21
    | spl0_22
    | spl0_23
    | spl0_24
    | spl0_25 ),
    inference(avatar_split_clause,[],[f14,f276,f272,f268,f264,f260]) ).

fof(f281,definition,
    ( spl0_26
  <=> e24 = h(e14) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f283,plain,
    ( e24 = h(e14)
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f281]) ).

fof(f285,definition,
    ( spl0_27
  <=> e23 = h(e14) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f287,plain,
    ( e23 = h(e14)
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f285]) ).

fof(f289,definition,
    ( spl0_28
  <=> e22 = h(e14) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f290,plain,
    ( e22 != h(e14)
    | spl0_28 ),
    inference(avatar_component_clause,[],[f289]) ).

fof(f291,plain,
    ( e22 = h(e14)
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f289]) ).

fof(f293,definition,
    ( spl0_29
  <=> e21 = h(e14) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f295,plain,
    ( e21 = h(e14)
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f293]) ).

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

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

fof(f300,plain,
    ( spl0_26
    | spl0_27
    | spl0_28
    | spl0_29
    | spl0_30 ),
    inference(avatar_split_clause,[],[f15,f297,f293,f289,f285,f281]) ).

fof(f323,definition,
    ( spl0_36
  <=> e24 = h(e12) ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f325,plain,
    ( e24 = h(e12)
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f323]) ).

fof(f327,definition,
    ( spl0_37
  <=> e23 = h(e12) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f329,plain,
    ( e23 = h(e12)
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f327]) ).

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

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

fof(f335,definition,
    ( spl0_39
  <=> e21 = h(e12) ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f336,plain,
    ( e21 != h(e12)
    | spl0_39 ),
    inference(avatar_component_clause,[],[f335]) ).

fof(f337,plain,
    ( e21 = h(e12)
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f335]) ).

fof(f339,definition,
    ( spl0_40
  <=> e20 = h(e12) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f341,plain,
    ( e20 = h(e12)
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f339]) ).

fof(f342,plain,
    ( spl0_36
    | spl0_37
    | spl0_38
    | spl0_39
    | spl0_40 ),
    inference(avatar_split_clause,[],[f17,f339,f335,f331,f327,f323]) ).

fof(f344,definition,
    ( spl0_41
  <=> e24 = h(e11) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f346,plain,
    ( e24 = h(e11)
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f344]) ).

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

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

fof(f352,definition,
    ( spl0_43
  <=> e22 = h(e11) ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f354,plain,
    ( e22 = h(e11)
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f352]) ).

fof(f356,definition,
    ( spl0_44
  <=> e21 = h(e11) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f358,plain,
    ( e21 = h(e11)
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f356]) ).

fof(f360,definition,
    ( spl0_45
  <=> e20 = h(e11) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f362,plain,
    ( e20 = h(e11)
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f360]) ).

fof(f363,plain,
    ( spl0_41
    | spl0_42
    | spl0_43
    | spl0_44
    | spl0_45 ),
    inference(avatar_split_clause,[],[f18,f360,f356,f352,f348,f344]) ).

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

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

fof(f369,definition,
    ( spl0_47
  <=> e23 = h(e10) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f371,plain,
    ( e23 = h(e10)
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f369]) ).

fof(f373,definition,
    ( spl0_48
  <=> e22 = h(e10) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f375,plain,
    ( e22 = h(e10)
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f373]) ).

fof(f377,definition,
    ( spl0_49
  <=> e21 = h(e10) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f379,plain,
    ( e21 = h(e10)
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f381,definition,
    ( spl0_50
  <=> e20 = h(e10) ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f383,plain,
    ( e20 = h(e10)
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f381]) ).

fof(f384,plain,
    ( spl0_46
    | spl0_47
    | spl0_48
    | spl0_49
    | spl0_50 ),
    inference(avatar_split_clause,[],[f19,f381,f377,f373,f369,f365]) ).

fof(f385,plain,
    j(e20) = op1(j(e24),j(e24)),
    inference(forward_demodulation,[],[f30,f80]) ).

fof(f386,plain,
    j(e24) = op1(j(e24),j(e23)),
    inference(forward_demodulation,[],[f31,f81]) ).

fof(f387,plain,
    j(e21) = op1(j(e24),j(e22)),
    inference(forward_demodulation,[],[f32,f82]) ).

fof(f388,plain,
    j(e23) = op1(j(e24),j(e21)),
    inference(forward_demodulation,[],[f33,f83]) ).

fof(f389,plain,
    j(e22) = op1(j(e24),j(e20)),
    inference(forward_demodulation,[],[f34,f84]) ).

fof(f435,plain,
    ( e14 = j(e24)
    | ~ spl0_26 ),
    inference(superposition,[],[f20,f283]) ).

fof(f440,plain,
    ( e14 = j(e23)
    | ~ spl0_27 ),
    inference(superposition,[],[f20,f287]) ).

fof(f442,plain,
    ( e12 = j(e24)
    | ~ spl0_36 ),
    inference(superposition,[],[f22,f325]) ).

fof(f443,plain,
    ( spl0_3
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f442,f323,f184]) ).

fof(f445,plain,
    ( e12 = j(e23)
    | ~ spl0_37 ),
    inference(superposition,[],[f22,f329]) ).

fof(f446,plain,
    ( spl0_8
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f445,f327,f205]) ).

fof(f454,plain,
    ( e12 = e14
    | ~ spl0_8
    | ~ spl0_27 ),
    inference(forward_demodulation,[],[f440,f207]) ).

fof(f455,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[],[f454,f166]) ).

fof(f456,plain,
    ( ~ spl0_8
    | ~ spl0_27 ),
    inference(avatar_contradiction_clause,[],[f455]) ).

fof(f459,plain,
    ( e14 = j(e22)
    | ~ spl0_28 ),
    inference(superposition,[],[f20,f291]) ).

fof(f460,plain,
    ( e11 = j(e24)
    | ~ spl0_41 ),
    inference(superposition,[],[f23,f346]) ).

fof(f461,plain,
    ( spl0_4
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f460,f344,f188]) ).

fof(f463,plain,
    ( e11 = j(e23)
    | ~ spl0_42 ),
    inference(superposition,[],[f23,f350]) ).

fof(f464,plain,
    ( spl0_9
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f463,f348,f209]) ).

fof(f467,plain,
    ( e11 = j(e22)
    | ~ spl0_43 ),
    inference(superposition,[],[f23,f354]) ).

fof(f468,plain,
    ( spl0_14
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f467,f352,f230]) ).

fof(f469,plain,
    ( e11 = e14
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(superposition,[],[f232,f220]) ).

fof(f473,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[],[f469,f168]) ).

fof(f474,plain,
    ( ~ spl0_11
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f473]) ).

fof(f479,plain,
    ( e11 = j(e21)
    | ~ spl0_44 ),
    inference(superposition,[],[f23,f358]) ).

fof(f480,plain,
    ( spl0_19
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f479,f356,f251]) ).

fof(f488,plain,
    ( e10 = j(e24)
    | ~ spl0_46 ),
    inference(superposition,[],[f24,f367]) ).

fof(f489,plain,
    ( spl0_5
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f488,f365,f192]) ).

fof(f491,plain,
    ( e10 = j(e23)
    | ~ spl0_47 ),
    inference(superposition,[],[f24,f371]) ).

fof(f492,plain,
    ( spl0_10
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f491,f369,f213]) ).

fof(f495,plain,
    ( e10 = j(e22)
    | ~ spl0_48 ),
    inference(superposition,[],[f24,f375]) ).

fof(f496,plain,
    ( spl0_15
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f495,f373,f234]) ).

fof(f500,plain,
    ( e10 = j(e21)
    | ~ spl0_49 ),
    inference(superposition,[],[f24,f379]) ).

fof(f501,plain,
    ( spl0_20
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f500,f377,f255]) ).

fof(f506,plain,
    ( e10 = j(e20)
    | ~ spl0_50 ),
    inference(superposition,[],[f24,f383]) ).

fof(f507,plain,
    ( spl0_25
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f506,f381,f276]) ).

fof(f508,plain,
    ( e10 = e14
    | ~ spl0_21
    | ~ spl0_25 ),
    inference(superposition,[],[f278,f262]) ).

fof(f512,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_25 ),
    inference(forward_subsumption_resolution,[],[f508,f171]) ).

fof(f513,plain,
    ( ~ spl0_21
    | ~ spl0_25 ),
    inference(avatar_contradiction_clause,[],[f512]) ).

fof(f556,plain,
    ( e11 = j(e20)
    | ~ spl0_45 ),
    inference(superposition,[],[f23,f362]) ).

fof(f557,plain,
    ( spl0_24
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f556,f360,f272]) ).

fof(f590,plain,
    ( $false
    | spl0_11
    | ~ spl0_28 ),
    inference(forward_subsumption_resolution,[],[f459,f219]) ).

fof(f591,plain,
    ( spl0_11
    | ~ spl0_28 ),
    inference(avatar_contradiction_clause,[],[f590]) ).

fof(f626,plain,
    ( e23 = h(e12)
    | ~ spl0_8 ),
    inference(superposition,[],[f26,f207]) ).

fof(f627,plain,
    ( e22 = h(e14)
    | ~ spl0_11 ),
    inference(superposition,[],[f27,f220]) ).

fof(f629,plain,
    ( e20 = h(e10)
    | ~ spl0_25 ),
    inference(superposition,[],[f29,f278]) ).

fof(f643,plain,
    ( j(e23) = op1(j(e24),e13)
    | ~ spl0_17 ),
    inference(superposition,[],[f388,f245]) ).

fof(f648,plain,
    ( j(e22) = op1(e11,j(e20))
    | ~ spl0_4 ),
    inference(superposition,[],[f389,f190]) ).

fof(f651,plain,
    ( op1(e11,e10) = j(e22)
    | ~ spl0_4
    | ~ spl0_25 ),
    inference(forward_demodulation,[],[f648,f278]) ).

fof(f653,plain,
    ( e14 = op1(e11,e10)
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_25 ),
    inference(forward_demodulation,[],[f651,f220]) ).

fof(f655,plain,
    ( e10 = e14
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_25 ),
    inference(forward_demodulation,[],[f653,f124]) ).

fof(f658,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_25 ),
    inference(forward_subsumption_resolution,[],[f655,f171]) ).

fof(f659,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | ~ spl0_25 ),
    inference(avatar_contradiction_clause,[],[f658]) ).

fof(f667,plain,
    ( op1(e10,e13) = j(e23)
    | ~ spl0_5
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f643,f194]) ).

fof(f676,plain,
    ( e14 = op1(e10,e13)
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f667,f199]) ).

fof(f677,plain,
    ( e11 = e14
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f676,f126]) ).

fof(f678,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[],[f677,f168]) ).

fof(f679,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f678]) ).

fof(f695,plain,
    ( e21 = e23
    | ~ spl0_8
    | ~ spl0_39 ),
    inference(forward_demodulation,[],[f626,f337]) ).

fof(f698,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_39 ),
    inference(forward_subsumption_resolution,[],[f695,f159]) ).

fof(f699,plain,
    ( ~ spl0_8
    | ~ spl0_39 ),
    inference(avatar_contradiction_clause,[],[f698]) ).

fof(f702,plain,
    ( op1(e10,e10) = j(e20)
    | ~ spl0_5 ),
    inference(superposition,[],[f385,f194]) ).

fof(f704,plain,
    ( j(e21) = op1(e10,j(e22))
    | ~ spl0_5 ),
    inference(superposition,[],[f387,f194]) ).

fof(f705,plain,
    ( j(e23) = op1(e10,j(e21))
    | ~ spl0_5 ),
    inference(superposition,[],[f388,f194]) ).

fof(f706,plain,
    ( j(e22) = op1(e10,j(e20))
    | ~ spl0_5 ),
    inference(superposition,[],[f389,f194]) ).

fof(f707,plain,
    ( op1(e10,e11) = j(e22)
    | ~ spl0_5
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f706,f274]) ).

fof(f712,plain,
    ( e14 = op1(e10,e11)
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f707,f220]) ).

fof(f715,plain,
    ( e12 = e14
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f712,f128]) ).

fof(f716,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[],[f715,f166]) ).

fof(f717,plain,
    ( ~ spl0_5
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(avatar_contradiction_clause,[],[f716]) ).

fof(f722,plain,
    ( op1(e10,e12) = j(e22)
    | ~ spl0_5
    | ~ spl0_23 ),
    inference(forward_demodulation,[],[f706,f270]) ).

fof(f724,plain,
    ( e14 = op1(e10,e12)
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_23 ),
    inference(forward_demodulation,[],[f722,f220]) ).

fof(f725,plain,
    ( e10 = e14
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_23 ),
    inference(forward_demodulation,[],[f724,f127]) ).

fof(f726,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[],[f725,f171]) ).

fof(f727,plain,
    ( ~ spl0_5
    | ~ spl0_11
    | ~ spl0_23 ),
    inference(avatar_contradiction_clause,[],[f726]) ).

fof(f732,plain,
    ( e14 = op1(e10,e10)
    | ~ spl0_5
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f702,f262]) ).

fof(f734,plain,
    ( e13 = e14
    | ~ spl0_5
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f732,f129]) ).

fof(f735,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[],[f734,f165]) ).

fof(f736,plain,
    ( ~ spl0_5
    | ~ spl0_21 ),
    inference(avatar_contradiction_clause,[],[f735]) ).

fof(f740,plain,
    ( op1(e10,e13) = j(e22)
    | ~ spl0_5
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f706,f266]) ).

fof(f742,plain,
    ( e14 = op1(e10,e13)
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f740,f220]) ).

fof(f743,plain,
    ( e11 = e14
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f742,f126]) ).

fof(f744,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[],[f743,f168]) ).

fof(f745,plain,
    ( ~ spl0_5
    | ~ spl0_11
    | ~ spl0_22 ),
    inference(avatar_contradiction_clause,[],[f744]) ).

fof(f746,plain,
    ( spl0_50
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f629,f276,f381]) ).

fof(f749,plain,
    ( op1(e10,e10) = j(e22)
    | ~ spl0_5
    | ~ spl0_25 ),
    inference(forward_demodulation,[],[f706,f278]) ).

fof(f751,plain,
    ( e14 = op1(e10,e10)
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_25 ),
    inference(forward_demodulation,[],[f749,f220]) ).

fof(f752,plain,
    ( e13 = e14
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_25 ),
    inference(forward_demodulation,[],[f751,f129]) ).

fof(f753,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_25 ),
    inference(forward_subsumption_resolution,[],[f752,f165]) ).

fof(f754,plain,
    ( ~ spl0_5
    | ~ spl0_11
    | ~ spl0_25 ),
    inference(avatar_contradiction_clause,[],[f753]) ).

fof(f781,plain,
    ( e23 = h(e12)
    | ~ spl0_8 ),
    inference(superposition,[],[f26,f207]) ).

fof(f800,plain,
    ( e22 = h(e11)
    | ~ spl0_14 ),
    inference(superposition,[],[f27,f232]) ).

fof(f808,plain,
    ( e20 = e22
    | ~ spl0_14
    | ~ spl0_45 ),
    inference(forward_demodulation,[],[f800,f362]) ).

fof(f809,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_45 ),
    inference(forward_subsumption_resolution,[],[f808,f163]) ).

fof(f810,plain,
    ( ~ spl0_14
    | ~ spl0_45 ),
    inference(avatar_contradiction_clause,[],[f809]) ).

fof(f814,plain,
    ( j(e23) = op1(j(e24),e11)
    | ~ spl0_19 ),
    inference(superposition,[],[f388,f253]) ).

fof(f815,plain,
    ( e21 = h(e11)
    | ~ spl0_19 ),
    inference(superposition,[],[f28,f253]) ).

fof(f818,plain,
    ( op1(e10,e11) = j(e23)
    | ~ spl0_5
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f814,f194]) ).

fof(f826,plain,
    ( e22 = h(e10)
    | ~ spl0_15 ),
    inference(superposition,[],[f27,f236]) ).

fof(f831,plain,
    ( j(e21) = op1(j(e24),e10)
    | ~ spl0_15 ),
    inference(superposition,[],[f387,f236]) ).

fof(f832,plain,
    ( op1(e10,e10) = j(e21)
    | ~ spl0_5
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f831,f194]) ).

fof(f837,plain,
    ( e20 = h(e11)
    | ~ spl0_24 ),
    inference(superposition,[],[f29,f274]) ).

fof(f838,plain,
    ( spl0_45
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f837,f272,f360]) ).

fof(f844,plain,
    ( e14 = j(e21)
    | ~ spl0_29 ),
    inference(superposition,[],[f20,f295]) ).

fof(f856,plain,
    ( e14 = j(e20)
    | ~ spl0_30 ),
    inference(superposition,[],[f20,f299]) ).

fof(f857,plain,
    ( $false
    | spl0_21
    | ~ spl0_30 ),
    inference(forward_subsumption_resolution,[],[f856,f261]) ).

fof(f858,plain,
    ( spl0_21
    | ~ spl0_30 ),
    inference(avatar_contradiction_clause,[],[f857]) ).

fof(f859,plain,
    ( $false
    | spl0_6
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[],[f440,f198]) ).

fof(f860,plain,
    ( spl0_6
    | ~ spl0_27 ),
    inference(avatar_contradiction_clause,[],[f859]) ).

fof(f874,plain,
    ( e12 = j(e23)
    | ~ spl0_5
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f818,f128]) ).

fof(f877,plain,
    ( $false
    | ~ spl0_5
    | spl0_8
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[],[f874,f206]) ).

fof(f878,plain,
    ( ~ spl0_5
    | spl0_8
    | ~ spl0_19 ),
    inference(avatar_contradiction_clause,[],[f877]) ).

fof(f880,plain,
    ( e22 = e23
    | ~ spl0_8
    | ~ spl0_38 ),
    inference(forward_demodulation,[],[f781,f333]) ).

fof(f892,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_38 ),
    inference(forward_subsumption_resolution,[],[f880,f157]) ).

fof(f893,plain,
    ( ~ spl0_8
    | ~ spl0_38 ),
    inference(avatar_contradiction_clause,[],[f892]) ).

fof(f903,plain,
    ( spl0_37
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f626,f205,f327]) ).

fof(f925,plain,
    ( e14 = op1(e10,e10)
    | ~ spl0_5
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f832,f241]) ).

fof(f928,plain,
    ( e13 = e14
    | ~ spl0_5
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f925,f129]) ).

fof(f931,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[],[f928,f165]) ).

fof(f932,plain,
    ( ~ spl0_5
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f931]) ).

fof(f933,plain,
    ( spl0_43
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f800,f230,f352]) ).

fof(f944,plain,
    ( op1(e10,e11) = j(e21)
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f704,f232]) ).

fof(f946,plain,
    ( e14 = op1(e10,e11)
    | ~ spl0_5
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f944,f241]) ).

fof(f947,plain,
    ( e12 = e14
    | ~ spl0_5
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f946,f128]) ).

fof(f948,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[],[f947,f166]) ).

fof(f949,plain,
    ( ~ spl0_5
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f948]) ).

fof(f954,plain,
    ( $false
    | spl0_16
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[],[f844,f240]) ).

fof(f955,plain,
    ( spl0_16
    | ~ spl0_29 ),
    inference(avatar_contradiction_clause,[],[f954]) ).

fof(f971,plain,
    ( op1(e10,e13) = j(e21)
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f704,f224]) ).

fof(f974,plain,
    ( e14 = op1(e10,e13)
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f971,f241]) ).

fof(f976,plain,
    ( e11 = e14
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f974,f126]) ).

fof(f979,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[],[f976,f168]) ).

fof(f980,plain,
    ( ~ spl0_5
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f979]) ).

fof(f983,plain,
    ( op1(e10,e12) = j(e21)
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f704,f228]) ).

fof(f985,plain,
    ( e14 = op1(e10,e12)
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f983,f241]) ).

fof(f987,plain,
    ( e10 = e14
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f985,f127]) ).

fof(f990,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[],[f987,f171]) ).

fof(f991,plain,
    ( ~ spl0_5
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f990]) ).

fof(f998,plain,
    ( op1(e10,e10) = j(e23)
    | ~ spl0_5
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f705,f257]) ).

fof(f1011,plain,
    ( e14 = op1(e10,e10)
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f998,f199]) ).

fof(f1012,plain,
    ( e13 = e14
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f1011,f129]) ).

fof(f1013,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[],[f1012,f165]) ).

fof(f1014,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | ~ spl0_20 ),
    inference(avatar_contradiction_clause,[],[f1013]) ).

fof(f1017,plain,
    ( op1(e10,e12) = j(e23)
    | ~ spl0_5
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f705,f249]) ).

fof(f1019,plain,
    ( e14 = op1(e10,e12)
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1017,f199]) ).

fof(f1020,plain,
    ( e10 = e14
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1019,f127]) ).

fof(f1021,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[],[f1020,f171]) ).

fof(f1022,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1021]) ).

fof(f1025,plain,
    ( $false
    | ~ spl0_11
    | spl0_28 ),
    inference(forward_subsumption_resolution,[],[f627,f290]) ).

fof(f1026,plain,
    ( ~ spl0_11
    | spl0_28 ),
    inference(avatar_contradiction_clause,[],[f1025]) ).

fof(f1040,plain,
    ( e24 = h(e11)
    | ~ spl0_4 ),
    inference(superposition,[],[f25,f190]) ).

fof(f1044,plain,
    ( j(e23) = op1(e11,j(e21))
    | ~ spl0_4 ),
    inference(superposition,[],[f388,f190]) ).

fof(f1047,plain,
    ( op1(e11,e10) = j(e23)
    | ~ spl0_4
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f1044,f257]) ).

fof(f1052,plain,
    ( e14 = op1(e11,e10)
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f1047,f199]) ).

fof(f1055,plain,
    ( e10 = e14
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f1052,f124]) ).

fof(f1058,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[],[f1055,f171]) ).

fof(f1059,plain,
    ( ~ spl0_4
    | ~ spl0_6
    | ~ spl0_20 ),
    inference(avatar_contradiction_clause,[],[f1058]) ).

fof(f1066,plain,
    ( e24 = h(e14)
    | ~ spl0_1 ),
    inference(superposition,[],[f25,f178]) ).

fof(f1067,plain,
    ( op1(e14,e14) = j(e20)
    | ~ spl0_1 ),
    inference(superposition,[],[f385,f178]) ).

fof(f1068,plain,
    ( e14 = op1(e14,j(e23))
    | ~ spl0_1 ),
    inference(superposition,[],[f386,f178]) ).

fof(f1075,plain,
    ( e14 = op1(e14,e14)
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1068,f199]) ).

fof(f1076,plain,
    ( e12 = op1(e14,e14)
    | ~ spl0_1
    | ~ spl0_23 ),
    inference(forward_demodulation,[],[f1067,f270]) ).

fof(f1082,plain,
    ( e11 = e14
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1075,f105]) ).

fof(f1083,plain,
    ( e11 = e12
    | ~ spl0_1
    | ~ spl0_23 ),
    inference(forward_demodulation,[],[f1076,f105]) ).

fof(f1085,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[],[f1082,f168]) ).

fof(f1086,plain,
    ( ~ spl0_1
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f1085]) ).

fof(f1087,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[],[f1083,f170]) ).

fof(f1088,plain,
    ( ~ spl0_1
    | ~ spl0_23 ),
    inference(avatar_contradiction_clause,[],[f1087]) ).

fof(f1097,plain,
    ( e12 = op1(e12,j(e23))
    | ~ spl0_3 ),
    inference(superposition,[],[f386,f186]) ).

fof(f1100,plain,
    ( j(e22) = op1(e12,j(e20))
    | ~ spl0_3 ),
    inference(superposition,[],[f389,f186]) ).

fof(f1101,plain,
    ( op1(e12,e12) = j(e22)
    | ~ spl0_3
    | ~ spl0_23 ),
    inference(forward_demodulation,[],[f1100,f270]) ).

fof(f1104,plain,
    ( e12 = op1(e12,e14)
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1097,f199]) ).

fof(f1108,plain,
    ( e14 = op1(e12,e12)
    | ~ spl0_3
    | ~ spl0_11
    | ~ spl0_23 ),
    inference(forward_demodulation,[],[f1101,f220]) ).

fof(f1111,plain,
    ( e10 = e12
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1104,f115]) ).

fof(f1112,plain,
    ( e12 = e14
    | ~ spl0_3
    | ~ spl0_11
    | ~ spl0_23 ),
    inference(forward_demodulation,[],[f1108,f117]) ).

fof(f1114,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[],[f1111,f173]) ).

fof(f1115,plain,
    ( ~ spl0_3
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f1114]) ).

fof(f1116,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_11
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[],[f1112,f166]) ).

fof(f1117,plain,
    ( ~ spl0_3
    | ~ spl0_11
    | ~ spl0_23 ),
    inference(avatar_contradiction_clause,[],[f1116]) ).

fof(f1125,plain,
    ( op1(e13,e13) = j(e20)
    | ~ spl0_2 ),
    inference(superposition,[],[f385,f182]) ).

fof(f1126,plain,
    ( e13 = op1(e13,j(e23))
    | ~ spl0_2 ),
    inference(superposition,[],[f386,f182]) ).

fof(f1133,plain,
    ( e13 = op1(e13,e14)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1126,f199]) ).

fof(f1134,plain,
    ( e12 = op1(e13,e13)
    | ~ spl0_2
    | ~ spl0_23 ),
    inference(forward_demodulation,[],[f1125,f270]) ).

fof(f1140,plain,
    ( e12 = e13
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1133,f110]) ).

fof(f1141,plain,
    ( e10 = e12
    | ~ spl0_2
    | ~ spl0_23 ),
    inference(forward_demodulation,[],[f1134,f111]) ).

fof(f1143,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[],[f1140,f167]) ).

fof(f1144,plain,
    ( ~ spl0_2
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f1143]) ).

fof(f1145,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[],[f1141,f173]) ).

fof(f1146,plain,
    ( ~ spl0_2
    | ~ spl0_23 ),
    inference(avatar_contradiction_clause,[],[f1145]) ).

fof(f1172,plain,
    ( j(e22) = op1(e12,j(e20))
    | ~ spl0_3 ),
    inference(superposition,[],[f389,f186]) ).

fof(f1173,plain,
    ( op1(e12,e11) = j(e22)
    | ~ spl0_3
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f1172,f274]) ).

fof(f1178,plain,
    ( e14 = op1(e12,e11)
    | ~ spl0_3
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f1173,f220]) ).

fof(f1181,plain,
    ( e13 = e14
    | ~ spl0_3
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f1178,f118]) ).

fof(f1184,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[],[f1181,f165]) ).

fof(f1185,plain,
    ( ~ spl0_3
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(avatar_contradiction_clause,[],[f1184]) ).

fof(f1202,plain,
    ( op1(e13,e13) = j(e20)
    | ~ spl0_2 ),
    inference(superposition,[],[f385,f182]) ).

fof(f1203,plain,
    ( e13 = op1(e13,j(e23))
    | ~ spl0_2 ),
    inference(superposition,[],[f386,f182]) ).

fof(f1211,plain,
    ( e11 = op1(e13,e13)
    | ~ spl0_2
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f1202,f274]) ).

fof(f1216,plain,
    ( e10 = e11
    | ~ spl0_2
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f1211,f111]) ).

fof(f1220,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[],[f1216,f174]) ).

fof(f1221,plain,
    ( ~ spl0_2
    | ~ spl0_24 ),
    inference(avatar_contradiction_clause,[],[f1220]) ).

fof(f1231,plain,
    ( e13 = op1(e13,e11)
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1203,f211]) ).

fof(f1234,plain,
    ( e11 = e13
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1231,f113]) ).

fof(f1235,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[],[f1234,f169]) ).

fof(f1236,plain,
    ( ~ spl0_2
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1235]) ).

fof(f1261,plain,
    ( j(e22) = op1(e12,j(e20))
    | ~ spl0_3 ),
    inference(superposition,[],[f389,f186]) ).

fof(f1262,plain,
    ( op1(e12,e10) = j(e22)
    | ~ spl0_3
    | ~ spl0_25 ),
    inference(forward_demodulation,[],[f1261,f278]) ).

fof(f1267,plain,
    ( e14 = op1(e12,e10)
    | ~ spl0_3
    | ~ spl0_11
    | ~ spl0_25 ),
    inference(forward_demodulation,[],[f1262,f220]) ).

fof(f1270,plain,
    ( e11 = e14
    | ~ spl0_3
    | ~ spl0_11
    | ~ spl0_25 ),
    inference(forward_demodulation,[],[f1267,f119]) ).

fof(f1272,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_11
    | ~ spl0_25 ),
    inference(forward_subsumption_resolution,[],[f1270,f168]) ).

fof(f1273,plain,
    ( ~ spl0_3
    | ~ spl0_11
    | ~ spl0_25 ),
    inference(avatar_contradiction_clause,[],[f1272]) ).

fof(f1276,plain,
    ( e22 = e24
    | ~ spl0_1
    | ~ spl0_28 ),
    inference(forward_demodulation,[],[f1066,f291]) ).

fof(f1281,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_28 ),
    inference(forward_subsumption_resolution,[],[f1276,f156]) ).

fof(f1282,plain,
    ( ~ spl0_1
    | ~ spl0_28 ),
    inference(avatar_contradiction_clause,[],[f1281]) ).

fof(f1301,plain,
    ( op1(e12,e12) = j(e20)
    | ~ spl0_3 ),
    inference(superposition,[],[f385,f186]) ).

fof(f1304,plain,
    ( j(e23) = op1(e12,j(e21))
    | ~ spl0_3 ),
    inference(superposition,[],[f388,f186]) ).

fof(f1307,plain,
    ( op1(e12,e14) = j(e23)
    | ~ spl0_3
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1304,f241]) ).

fof(f1310,plain,
    ( e13 = op1(e12,e12)
    | ~ spl0_3
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f1301,f266]) ).

fof(f1312,plain,
    ( e11 = op1(e12,e14)
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1307,f211]) ).

fof(f1314,plain,
    ( e12 = e13
    | ~ spl0_3
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f1310,f117]) ).

fof(f1315,plain,
    ( e10 = e11
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1312,f115]) ).

fof(f1317,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[],[f1314,f167]) ).

fof(f1318,plain,
    ( ~ spl0_3
    | ~ spl0_22 ),
    inference(avatar_contradiction_clause,[],[f1317]) ).

fof(f1319,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[],[f1315,f174]) ).

fof(f1320,plain,
    ( ~ spl0_3
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1319]) ).

fof(f1328,plain,
    ( e14 = op1(e12,e12)
    | ~ spl0_3
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f1301,f262]) ).

fof(f1334,plain,
    ( e12 = e14
    | ~ spl0_3
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f1328,f117]) ).

fof(f1337,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[],[f1334,f166]) ).

fof(f1338,plain,
    ( ~ spl0_3
    | ~ spl0_21 ),
    inference(avatar_contradiction_clause,[],[f1337]) ).

fof(f1344,plain,
    ( spl0_44
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f815,f251,f356]) ).

fof(f1357,plain,
    ( op1(e13,e13) = j(e20)
    | ~ spl0_2 ),
    inference(superposition,[],[f385,f182]) ).

fof(f1366,plain,
    ( e14 = op1(e13,e13)
    | ~ spl0_2
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f1357,f262]) ).

fof(f1370,plain,
    ( e10 = e14
    | ~ spl0_2
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f1366,f111]) ).

fof(f1372,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[],[f1370,f171]) ).

fof(f1373,plain,
    ( ~ spl0_2
    | ~ spl0_21 ),
    inference(avatar_contradiction_clause,[],[f1372]) ).

fof(f1380,plain,
    ( e13 = op1(e13,e13)
    | ~ spl0_2
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f1357,f266]) ).

fof(f1382,plain,
    ( e10 = e13
    | ~ spl0_2
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f1380,f111]) ).

fof(f1384,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[],[f1382,f172]) ).

fof(f1385,plain,
    ( ~ spl0_2
    | ~ spl0_22 ),
    inference(avatar_contradiction_clause,[],[f1384]) ).

fof(f1408,plain,
    ( j(e23) = op1(j(e24),e11)
    | ~ spl0_19 ),
    inference(superposition,[],[f388,f253]) ).

fof(f1410,plain,
    ( op1(e13,e11) = j(e23)
    | ~ spl0_2
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f1408,f182]) ).

fof(f1427,plain,
    ( e12 = j(e21)
    | ~ spl0_39 ),
    inference(superposition,[],[f22,f337]) ).

fof(f1433,plain,
    ( e12 = j(e22)
    | ~ spl0_38 ),
    inference(superposition,[],[f22,f333]) ).

fof(f1434,plain,
    ( $false
    | spl0_13
    | ~ spl0_38 ),
    inference(forward_subsumption_resolution,[],[f1433,f227]) ).

fof(f1435,plain,
    ( spl0_13
    | ~ spl0_38 ),
    inference(avatar_contradiction_clause,[],[f1434]) ).

fof(f1440,plain,
    ( e12 = j(e20)
    | ~ spl0_40 ),
    inference(superposition,[],[f22,f341]) ).

fof(f1445,plain,
    ( e11 = e12
    | ~ spl0_19
    | ~ spl0_39 ),
    inference(forward_demodulation,[],[f1427,f253]) ).

fof(f1449,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_39 ),
    inference(forward_subsumption_resolution,[],[f1445,f170]) ).

fof(f1450,plain,
    ( ~ spl0_19
    | ~ spl0_39 ),
    inference(avatar_contradiction_clause,[],[f1449]) ).

fof(f1454,plain,
    ( e12 = e14
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(superposition,[],[f228,f220]) ).

fof(f1455,plain,
    ( e22 = h(e12)
    | ~ spl0_13 ),
    inference(superposition,[],[f27,f228]) ).

fof(f1462,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f1454,f166]) ).

fof(f1463,plain,
    ( ~ spl0_11
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1462]) ).

fof(f1475,plain,
    ( e12 = op1(e13,e11)
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f1410,f207]) ).

fof(f1477,plain,
    ( e11 = e12
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f1475,f113]) ).

fof(f1480,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[],[f1477,f170]) ).

fof(f1481,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | ~ spl0_19 ),
    inference(avatar_contradiction_clause,[],[f1480]) ).

fof(f1483,plain,
    ( e21 = e24
    | ~ spl0_4
    | ~ spl0_44 ),
    inference(forward_demodulation,[],[f1040,f358]) ).

fof(f1486,plain,
    ( spl0_23
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f1440,f339,f268]) ).

fof(f1501,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_44 ),
    inference(forward_subsumption_resolution,[],[f1483,f158]) ).

fof(f1502,plain,
    ( ~ spl0_4
    | ~ spl0_44 ),
    inference(avatar_contradiction_clause,[],[f1501]) ).

fof(f1515,plain,
    ( e11 = op1(e11,j(e23))
    | ~ spl0_4 ),
    inference(superposition,[],[f386,f190]) ).

fof(f1516,plain,
    ( j(e21) = op1(e11,j(e22))
    | ~ spl0_4 ),
    inference(superposition,[],[f387,f190]) ).

fof(f1517,plain,
    ( j(e23) = op1(e11,j(e21))
    | ~ spl0_4 ),
    inference(superposition,[],[f388,f190]) ).

fof(f1522,plain,
    ( e11 = op1(e11,e10)
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1515,f215]) ).

fof(f1527,plain,
    ( e10 = e11
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1522,f124]) ).

fof(f1529,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f1527,f174]) ).

fof(f1530,plain,
    ( ~ spl0_4
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1529]) ).

fof(f1563,plain,
    ( e23 = h(e11)
    | ~ spl0_9 ),
    inference(superposition,[],[f26,f211]) ).

fof(f1581,plain,
    ( op1(e11,e10) = j(e23)
    | ~ spl0_4
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f1517,f257]) ).

fof(f1585,plain,
    ( e12 = op1(e11,e10)
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f1581,f207]) ).

fof(f1586,plain,
    ( e10 = e12
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f1585,f124]) ).

fof(f1587,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[],[f1586,f173]) ).

fof(f1588,plain,
    ( ~ spl0_4
    | ~ spl0_8
    | ~ spl0_20 ),
    inference(avatar_contradiction_clause,[],[f1587]) ).

fof(f1590,plain,
    ( spl0_38
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f1455,f226,f331]) ).

fof(f1591,plain,
    ( $false
    | spl0_1
    | ~ spl0_26 ),
    inference(forward_subsumption_resolution,[],[f435,f177]) ).

fof(f1592,plain,
    ( spl0_1
    | ~ spl0_26 ),
    inference(avatar_contradiction_clause,[],[f1591]) ).

fof(f1606,plain,
    ( e13 = op1(e11,e10)
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f1581,f203]) ).

fof(f1609,plain,
    ( e10 = e13
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f1606,f124]) ).

fof(f1612,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[],[f1609,f172]) ).

fof(f1613,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | ~ spl0_20 ),
    inference(avatar_contradiction_clause,[],[f1612]) ).

fof(f1627,plain,
    ( op1(e11,e10) = j(e21)
    | ~ spl0_4
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1516,f236]) ).

fof(f1634,plain,
    ( e14 = op1(e11,e10)
    | ~ spl0_4
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1627,f241]) ).

fof(f1635,plain,
    ( e10 = e14
    | ~ spl0_4
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1634,f124]) ).

fof(f1636,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[],[f1635,f171]) ).

fof(f1637,plain,
    ( ~ spl0_4
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1636]) ).

fof(f1638,plain,
    ( e11 = e14
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f178,f190]) ).

fof(f1656,plain,
    ( e13 = op1(e11,e10)
    | ~ spl0_4
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1627,f245]) ).

fof(f1657,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[],[f1638,f168]) ).

fof(f1658,plain,
    ( ~ spl0_1
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f1657]) ).

fof(f1670,plain,
    ( e10 = e13
    | ~ spl0_4
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1656,f124]) ).

fof(f1672,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[],[f1670,f172]) ).

fof(f1673,plain,
    ( ~ spl0_4
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1672]) ).

fof(f1689,plain,
    ( e12 = op1(e11,e10)
    | ~ spl0_4
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1627,f249]) ).

fof(f1698,plain,
    ( e10 = e12
    | ~ spl0_4
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1689,f124]) ).

fof(f1700,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[],[f1698,f173]) ).

fof(f1701,plain,
    ( ~ spl0_4
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1700]) ).

fof(f1721,plain,
    ( e14 = op1(e14,j(e23))
    | ~ spl0_1 ),
    inference(superposition,[],[f386,f178]) ).

fof(f1728,plain,
    ( e14 = op1(e14,e13)
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1721,f203]) ).

fof(f1733,plain,
    ( e13 = e14
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1728,f106]) ).

fof(f1734,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(forward_subsumption_resolution,[],[f1733,f165]) ).

fof(f1735,plain,
    ( ~ spl0_1
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1734]) ).

fof(f1740,plain,
    ( e14 = op1(e14,e10)
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1721,f215]) ).

fof(f1746,plain,
    ( e12 = e14
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1740,f109]) ).

fof(f1747,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f1746,f166]) ).

fof(f1748,plain,
    ( ~ spl0_1
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1747]) ).

fof(f1767,plain,
    ( e12 = op1(e12,j(e23))
    | ~ spl0_3 ),
    inference(superposition,[],[f386,f186]) ).

fof(f1769,plain,
    ( j(e23) = op1(e12,j(e21))
    | ~ spl0_3 ),
    inference(superposition,[],[f388,f186]) ).

fof(f1772,plain,
    ( op1(e12,e14) = j(e23)
    | ~ spl0_3
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1769,f241]) ).

fof(f1777,plain,
    ( e13 = op1(e12,e14)
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1772,f203]) ).

fof(f1779,plain,
    ( e10 = e13
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1777,f115]) ).

fof(f1781,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[],[f1779,f172]) ).

fof(f1782,plain,
    ( ~ spl0_3
    | ~ spl0_7
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1781]) ).

fof(f1794,plain,
    ( e12 = op1(e12,e10)
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1767,f215]) ).

fof(f1797,plain,
    ( e11 = e12
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1794,f119]) ).

fof(f1798,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f1797,f170]) ).

fof(f1799,plain,
    ( ~ spl0_3
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1798]) ).

fof(f1816,plain,
    ( j(e21) = op1(e13,j(e22))
    | ~ spl0_2 ),
    inference(superposition,[],[f387,f182]) ).

fof(f1821,plain,
    ( op1(e13,e13) = j(e21)
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1816,f224]) ).

fof(f1826,plain,
    ( e14 = op1(e13,e13)
    | ~ spl0_2
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1821,f241]) ).

fof(f1827,plain,
    ( e10 = e14
    | ~ spl0_2
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1826,f111]) ).

fof(f1828,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[],[f1827,f171]) ).

fof(f1829,plain,
    ( ~ spl0_2
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1828]) ).

fof(f1832,plain,
    ( op1(e13,e12) = j(e21)
    | ~ spl0_2
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1816,f228]) ).

fof(f1834,plain,
    ( e14 = op1(e13,e12)
    | ~ spl0_2
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1832,f241]) ).

fof(f1835,plain,
    ( e13 = e14
    | ~ spl0_2
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1834,f112]) ).

fof(f1836,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[],[f1835,f165]) ).

fof(f1837,plain,
    ( ~ spl0_2
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1836]) ).

fof(f1844,plain,
    ( e22 = e23
    | ~ spl0_9
    | ~ spl0_43 ),
    inference(forward_demodulation,[],[f1563,f354]) ).

fof(f1872,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_43 ),
    inference(forward_subsumption_resolution,[],[f1844,f157]) ).

fof(f1873,plain,
    ( ~ spl0_9
    | ~ spl0_43 ),
    inference(avatar_contradiction_clause,[],[f1872]) ).

fof(f1883,plain,
    ( op1(e14,e14) = j(e20)
    | ~ spl0_1 ),
    inference(superposition,[],[f385,f178]) ).

fof(f1884,plain,
    ( e14 = op1(e14,j(e23))
    | ~ spl0_1 ),
    inference(superposition,[],[f386,f178]) ).

fof(f1885,plain,
    ( j(e21) = op1(e14,j(e22))
    | ~ spl0_1 ),
    inference(superposition,[],[f387,f178]) ).

fof(f1886,plain,
    ( j(e23) = op1(e14,j(e21))
    | ~ spl0_1 ),
    inference(superposition,[],[f388,f178]) ).

fof(f1887,plain,
    ( j(e22) = op1(e14,j(e20))
    | ~ spl0_1 ),
    inference(superposition,[],[f389,f178]) ).

fof(f1891,plain,
    ( e14 = op1(e14,e11)
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1884,f211]) ).

fof(f1896,plain,
    ( e10 = e14
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1891,f108]) ).

fof(f1898,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[],[f1896,f171]) ).

fof(f1899,plain,
    ( ~ spl0_1
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1898]) ).

fof(f1905,plain,
    ( op1(e14,e11) = j(e21)
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1885,f232]) ).

fof(f1910,plain,
    ( e13 = op1(e14,e11)
    | ~ spl0_1
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1905,f245]) ).

fof(f1911,plain,
    ( e10 = e13
    | ~ spl0_1
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1910,f108]) ).

fof(f1912,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[],[f1911,f172]) ).

fof(f1913,plain,
    ( ~ spl0_1
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1912]) ).

fof(f1915,plain,
    ( e20 = e22
    | ~ spl0_15
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f826,f383]) ).

fof(f1919,plain,
    ( op1(e14,e11) = j(e23)
    | ~ spl0_1
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f1886,f253]) ).

fof(f1925,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_50 ),
    inference(forward_subsumption_resolution,[],[f1915,f163]) ).

fof(f1926,plain,
    ( ~ spl0_15
    | ~ spl0_50 ),
    inference(avatar_contradiction_clause,[],[f1925]) ).

fof(f1929,plain,
    ( e12 = op1(e14,e11)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f1919,f207]) ).

fof(f1931,plain,
    ( e10 = e12
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f1929,f108]) ).

fof(f1933,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[],[f1931,f173]) ).

fof(f1934,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | ~ spl0_19 ),
    inference(avatar_contradiction_clause,[],[f1933]) ).

fof(f1956,plain,
    ( e24 = h(e12)
    | ~ spl0_3 ),
    inference(superposition,[],[f25,f186]) ).

fof(f1991,plain,
    ( e21 = h(e10)
    | ~ spl0_20 ),
    inference(superposition,[],[f28,f257]) ).

fof(f1997,plain,
    ( e20 = e21
    | ~ spl0_20
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1991,f383]) ).

fof(f1999,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_50 ),
    inference(forward_subsumption_resolution,[],[f1997,f164]) ).

fof(f2000,plain,
    ( ~ spl0_20
    | ~ spl0_50 ),
    inference(avatar_contradiction_clause,[],[f1999]) ).

fof(f2005,plain,
    ( spl0_49
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f1991,f255,f377]) ).

fof(f2009,plain,
    ( e13 = op1(e14,e14)
    | ~ spl0_1
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f1883,f266]) ).

fof(f2011,plain,
    ( e11 = e13
    | ~ spl0_1
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f2009,f105]) ).

fof(f2012,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[],[f2011,f169]) ).

fof(f2013,plain,
    ( ~ spl0_1
    | ~ spl0_22 ),
    inference(avatar_contradiction_clause,[],[f2012]) ).

fof(f2021,plain,
    ( op1(e14,e11) = j(e22)
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f1887,f274]) ).

fof(f2026,plain,
    ( op1(e14,e10) = j(e21)
    | ~ spl0_1
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1885,f236]) ).

fof(f2029,plain,
    ( e13 = op1(e14,e10)
    | ~ spl0_1
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f2026,f245]) ).

fof(f2030,plain,
    ( e12 = e13
    | ~ spl0_1
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f2029,f109]) ).

fof(f2031,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[],[f2030,f167]) ).

fof(f2032,plain,
    ( ~ spl0_1
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f2031]) ).

fof(f2038,plain,
    ( e22 = h(e10)
    | ~ spl0_15 ),
    inference(superposition,[],[f27,f236]) ).

fof(f2044,plain,
    ( e21 = h(e12)
    | ~ spl0_18 ),
    inference(superposition,[],[f28,f249]) ).

fof(f2049,plain,
    ( $false
    | ~ spl0_18
    | spl0_39 ),
    inference(forward_subsumption_resolution,[],[f2044,f336]) ).

fof(f2050,plain,
    ( ~ spl0_18
    | spl0_39 ),
    inference(avatar_contradiction_clause,[],[f2049]) ).

fof(f2060,plain,
    ( e13 = op1(e14,e11)
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f2021,f224]) ).

fof(f2063,plain,
    ( e10 = e13
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f2060,f108]) ).

fof(f2064,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[],[f2063,f172]) ).

fof(f2065,plain,
    ( ~ spl0_1
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(avatar_contradiction_clause,[],[f2064]) ).

fof(f2068,plain,
    ( e21 = e22
    | ~ spl0_15
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f2038,f379]) ).

fof(f2078,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[],[f2068,f160]) ).

fof(f2079,plain,
    ( ~ spl0_15
    | ~ spl0_49 ),
    inference(avatar_contradiction_clause,[],[f2078]) ).

fof(f2091,plain,
    ( e14 = op1(e14,e14)
    | ~ spl0_1
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f1883,f262]) ).

fof(f2095,plain,
    ( e11 = e14
    | ~ spl0_1
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f2091,f105]) ).

fof(f2097,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[],[f2095,f168]) ).

fof(f2098,plain,
    ( ~ spl0_1
    | ~ spl0_21 ),
    inference(avatar_contradiction_clause,[],[f2097]) ).

fof(f2109,plain,
    ( op1(e14,e14) = j(e23)
    | ~ spl0_1
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1886,f241]) ).

fof(f2113,plain,
    ( e12 = op1(e14,e14)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f2109,f207]) ).

fof(f2115,plain,
    ( e11 = e12
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f2113,f105]) ).

fof(f2117,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[],[f2115,f170]) ).

fof(f2118,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2117]) ).

fof(f2126,plain,
    ( e23 = e24
    | ~ spl0_3
    | ~ spl0_37 ),
    inference(forward_demodulation,[],[f1956,f329]) ).

fof(f2149,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_37 ),
    inference(forward_subsumption_resolution,[],[f2126,f155]) ).

fof(f2150,plain,
    ( ~ spl0_3
    | ~ spl0_37 ),
    inference(avatar_contradiction_clause,[],[f2149]) ).

fof(f2169,plain,
    ( j(e21) = op1(e13,j(e22))
    | ~ spl0_2 ),
    inference(superposition,[],[f387,f182]) ).

fof(f2174,plain,
    ( op1(e13,e11) = j(e21)
    | ~ spl0_2
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f2169,f232]) ).

fof(f2179,plain,
    ( e14 = op1(e13,e11)
    | ~ spl0_2
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f2174,f241]) ).

fof(f2180,plain,
    ( e11 = e14
    | ~ spl0_2
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f2179,f113]) ).

fof(f2181,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[],[f2180,f168]) ).

fof(f2182,plain,
    ( ~ spl0_2
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2181]) ).

fof(f2197,plain,
    ( j(e21) = op1(e11,j(e22))
    | ~ spl0_4 ),
    inference(superposition,[],[f387,f190]) ).

fof(f2198,plain,
    ( j(e23) = op1(e11,j(e21))
    | ~ spl0_4 ),
    inference(superposition,[],[f388,f190]) ).

fof(f2199,plain,
    ( j(e22) = op1(e11,j(e20))
    | ~ spl0_4 ),
    inference(superposition,[],[f389,f190]) ).

fof(f2200,plain,
    ( op1(e11,e10) = j(e22)
    | ~ spl0_4
    | ~ spl0_25 ),
    inference(forward_demodulation,[],[f2199,f278]) ).

fof(f2202,plain,
    ( op1(e11,e13) = j(e21)
    | ~ spl0_4
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2197,f224]) ).

fof(f2205,plain,
    ( e13 = op1(e11,e10)
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_25 ),
    inference(forward_demodulation,[],[f2200,f224]) ).

fof(f2207,plain,
    ( e14 = op1(e11,e13)
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f2202,f241]) ).

fof(f2208,plain,
    ( e10 = e13
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_25 ),
    inference(forward_demodulation,[],[f2205,f124]) ).

fof(f2209,plain,
    ( e12 = e14
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f2207,f121]) ).

fof(f2210,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_25 ),
    inference(forward_subsumption_resolution,[],[f2208,f172]) ).

fof(f2211,plain,
    ( ~ spl0_4
    | ~ spl0_12
    | ~ spl0_25 ),
    inference(avatar_contradiction_clause,[],[f2210]) ).

fof(f2212,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[],[f2209,f166]) ).

fof(f2213,plain,
    ( ~ spl0_4
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2212]) ).

fof(f2217,plain,
    ( e11 = op1(e11,e10)
    | ~ spl0_4
    | ~ spl0_14
    | ~ spl0_25 ),
    inference(forward_demodulation,[],[f2200,f232]) ).

fof(f2219,plain,
    ( e10 = e11
    | ~ spl0_4
    | ~ spl0_14
    | ~ spl0_25 ),
    inference(forward_demodulation,[],[f2217,f124]) ).

fof(f2220,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_14
    | ~ spl0_25 ),
    inference(forward_subsumption_resolution,[],[f2219,f174]) ).

fof(f2221,plain,
    ( ~ spl0_4
    | ~ spl0_14
    | ~ spl0_25 ),
    inference(avatar_contradiction_clause,[],[f2220]) ).

fof(f2227,plain,
    ( op1(e11,e12) = j(e21)
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2197,f228]) ).

fof(f2228,plain,
    ( e12 = op1(e11,e10)
    | ~ spl0_4
    | ~ spl0_13
    | ~ spl0_25 ),
    inference(forward_demodulation,[],[f2200,f228]) ).

fof(f2233,plain,
    ( e14 = op1(e11,e12)
    | ~ spl0_4
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f2227,f241]) ).

fof(f2234,plain,
    ( e10 = e12
    | ~ spl0_4
    | ~ spl0_13
    | ~ spl0_25 ),
    inference(forward_demodulation,[],[f2228,f124]) ).

fof(f2235,plain,
    ( e11 = e14
    | ~ spl0_4
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f2233,f122]) ).

fof(f2236,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_13
    | ~ spl0_25 ),
    inference(forward_subsumption_resolution,[],[f2234,f173]) ).

fof(f2237,plain,
    ( ~ spl0_4
    | ~ spl0_13
    | ~ spl0_25 ),
    inference(avatar_contradiction_clause,[],[f2236]) ).

fof(f2238,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[],[f2235,f168]) ).

fof(f2239,plain,
    ( ~ spl0_4
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2238]) ).

fof(f2251,plain,
    ( op1(e11,e10) = j(e23)
    | ~ spl0_4
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f2198,f257]) ).

fof(f2259,plain,
    ( e11 = op1(e11,e10)
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f2251,f211]) ).

fof(f2261,plain,
    ( e10 = e11
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f2259,f124]) ).

fof(f2262,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[],[f2261,f174]) ).

fof(f2263,plain,
    ( ~ spl0_4
    | ~ spl0_9
    | ~ spl0_20 ),
    inference(avatar_contradiction_clause,[],[f2262]) ).

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(s3,plain,
    ( spl0_11
    | spl0_12
    | spl0_13
    | spl0_14
    | spl0_15 ),
    inference(sat_conversion,[],[f237]) ).

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(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(s12,plain,
    ( spl0_3
    | ~ spl0_36 ),
    inference(sat_conversion,[],[f443]) ).

cnf(s13,plain,
    ( spl0_8
    | ~ spl0_37 ),
    inference(sat_conversion,[],[f446]) ).

cnf(s16,plain,
    ( ~ spl0_8
    | ~ spl0_27 ),
    inference(sat_conversion,[],[f456]) ).

cnf(s17,plain,
    ( spl0_4
    | ~ spl0_41 ),
    inference(sat_conversion,[],[f461]) ).

cnf(s18,plain,
    ( spl0_9
    | ~ spl0_42 ),
    inference(sat_conversion,[],[f464]) ).

cnf(s19,plain,
    ( spl0_14
    | ~ spl0_43 ),
    inference(sat_conversion,[],[f468]) ).

cnf(s21,plain,
    ( ~ spl0_11
    | ~ spl0_14 ),
    inference(sat_conversion,[],[f474]) ).

cnf(s22,plain,
    ( spl0_19
    | ~ spl0_44 ),
    inference(sat_conversion,[],[f480]) ).

cnf(s25,plain,
    ( spl0_5
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f489]) ).

cnf(s26,plain,
    ( spl0_10
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f492]) ).

cnf(s27,plain,
    ( spl0_15
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f496]) ).

cnf(s28,plain,
    ( spl0_20
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f501]) ).

cnf(s29,plain,
    ( spl0_25
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f507]) ).

cnf(s31,plain,
    ( ~ spl0_21
    | ~ spl0_25 ),
    inference(sat_conversion,[],[f513]) ).

cnf(s41,plain,
    ( spl0_24
    | ~ spl0_45 ),
    inference(sat_conversion,[],[f557]) ).

cnf(s48,plain,
    ( spl0_11
    | ~ spl0_28 ),
    inference(sat_conversion,[],[f591]) ).

cnf(s54,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | ~ spl0_25 ),
    inference(sat_conversion,[],[f659]) ).

cnf(s56,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | ~ spl0_17 ),
    inference(sat_conversion,[],[f679]) ).

cnf(s60,plain,
    ( ~ spl0_8
    | ~ spl0_39 ),
    inference(sat_conversion,[],[f699]) ).

cnf(s61,plain,
    ( ~ spl0_5
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(sat_conversion,[],[f717]) ).

cnf(s62,plain,
    ( ~ spl0_5
    | ~ spl0_11
    | ~ spl0_23 ),
    inference(sat_conversion,[],[f727]) ).

cnf(s63,plain,
    ( ~ spl0_5
    | ~ spl0_21 ),
    inference(sat_conversion,[],[f736]) ).

cnf(s64,plain,
    ( ~ spl0_5
    | ~ spl0_11
    | ~ spl0_22 ),
    inference(sat_conversion,[],[f745]) ).

cnf(s65,plain,
    ( ~ spl0_25
    | spl0_50 ),
    inference(sat_conversion,[],[f746]) ).

cnf(s66,plain,
    ( ~ spl0_5
    | ~ spl0_11
    | ~ spl0_25 ),
    inference(sat_conversion,[],[f754]) ).

cnf(s71,plain,
    ( ~ spl0_14
    | ~ spl0_45 ),
    inference(sat_conversion,[],[f810]) ).

cnf(s74,plain,
    ( ~ spl0_24
    | spl0_45 ),
    inference(sat_conversion,[],[f838]) ).

cnf(s77,plain,
    ( spl0_21
    | ~ spl0_30 ),
    inference(sat_conversion,[],[f858]) ).

cnf(s78,plain,
    ( spl0_6
    | ~ spl0_27 ),
    inference(sat_conversion,[],[f860]) ).

cnf(s82,plain,
    ( ~ spl0_5
    | spl0_8
    | ~ spl0_19 ),
    inference(sat_conversion,[],[f878]) ).

cnf(s84,plain,
    ( ~ spl0_8
    | ~ spl0_38 ),
    inference(sat_conversion,[],[f893]) ).

cnf(s88,plain,
    ( ~ spl0_8
    | spl0_37 ),
    inference(sat_conversion,[],[f903]) ).

cnf(s95,plain,
    ( ~ spl0_5
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(sat_conversion,[],[f932]) ).

cnf(s96,plain,
    ( ~ spl0_14
    | spl0_43 ),
    inference(sat_conversion,[],[f933]) ).

cnf(s97,plain,
    ( ~ spl0_5
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(sat_conversion,[],[f949]) ).

cnf(s99,plain,
    ( spl0_16
    | ~ spl0_29 ),
    inference(sat_conversion,[],[f955]) ).

cnf(s102,plain,
    ( ~ spl0_5
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(sat_conversion,[],[f980]) ).

cnf(s104,plain,
    ( ~ spl0_5
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(sat_conversion,[],[f991]) ).

cnf(s108,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | ~ spl0_20 ),
    inference(sat_conversion,[],[f1014]) ).

cnf(s109,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | ~ spl0_18 ),
    inference(sat_conversion,[],[f1022]) ).

cnf(s111,plain,
    ( ~ spl0_11
    | spl0_28 ),
    inference(sat_conversion,[],[f1026]) ).

cnf(s113,plain,
    ( ~ spl0_4
    | ~ spl0_6
    | ~ spl0_20 ),
    inference(sat_conversion,[],[f1059]) ).

cnf(s116,plain,
    ( ~ spl0_1
    | ~ spl0_6 ),
    inference(sat_conversion,[],[f1086]) ).

cnf(s117,plain,
    ( ~ spl0_1
    | ~ spl0_23 ),
    inference(sat_conversion,[],[f1088]) ).

cnf(s120,plain,
    ( ~ spl0_3
    | ~ spl0_6 ),
    inference(sat_conversion,[],[f1115]) ).

cnf(s121,plain,
    ( ~ spl0_3
    | ~ spl0_11
    | ~ spl0_23 ),
    inference(sat_conversion,[],[f1117]) ).

cnf(s124,plain,
    ( ~ spl0_2
    | ~ spl0_6 ),
    inference(sat_conversion,[],[f1144]) ).

cnf(s125,plain,
    ( ~ spl0_2
    | ~ spl0_23 ),
    inference(sat_conversion,[],[f1146]) ).

cnf(s131,plain,
    ( ~ spl0_3
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(sat_conversion,[],[f1185]) ).

cnf(s138,plain,
    ( ~ spl0_2
    | ~ spl0_24 ),
    inference(sat_conversion,[],[f1221]) ).

cnf(s140,plain,
    ( ~ spl0_2
    | ~ spl0_9 ),
    inference(sat_conversion,[],[f1236]) ).

cnf(s148,plain,
    ( ~ spl0_3
    | ~ spl0_11
    | ~ spl0_25 ),
    inference(sat_conversion,[],[f1273]) ).

cnf(s150,plain,
    ( ~ spl0_1
    | ~ spl0_28 ),
    inference(sat_conversion,[],[f1282]) ).

cnf(s155,plain,
    ( ~ spl0_3
    | ~ spl0_22 ),
    inference(sat_conversion,[],[f1318]) ).

cnf(s156,plain,
    ( ~ spl0_3
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(sat_conversion,[],[f1320]) ).

cnf(s158,plain,
    ( ~ spl0_3
    | ~ spl0_21 ),
    inference(sat_conversion,[],[f1338]) ).

cnf(s162,plain,
    ( ~ spl0_19
    | spl0_44 ),
    inference(sat_conversion,[],[f1344]) ).

cnf(s165,plain,
    ( ~ spl0_2
    | ~ spl0_21 ),
    inference(sat_conversion,[],[f1373]) ).

cnf(s167,plain,
    ( ~ spl0_2
    | ~ spl0_22 ),
    inference(sat_conversion,[],[f1385]) ).

cnf(s171,plain,
    ( spl0_13
    | ~ spl0_38 ),
    inference(sat_conversion,[],[f1435]) ).

cnf(s174,plain,
    ( ~ spl0_19
    | ~ spl0_39 ),
    inference(sat_conversion,[],[f1450]) ).

cnf(s176,plain,
    ( ~ spl0_11
    | ~ spl0_13 ),
    inference(sat_conversion,[],[f1463]) ).

cnf(s180,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | ~ spl0_19 ),
    inference(sat_conversion,[],[f1481]) ).

cnf(s182,plain,
    ( spl0_23
    | ~ spl0_40 ),
    inference(sat_conversion,[],[f1486]) ).

cnf(s184,plain,
    ( ~ spl0_4
    | ~ spl0_44 ),
    inference(sat_conversion,[],[f1502]) ).

cnf(s188,plain,
    ( ~ spl0_4
    | ~ spl0_10 ),
    inference(sat_conversion,[],[f1530]) ).

cnf(s198,plain,
    ( ~ spl0_4
    | ~ spl0_8
    | ~ spl0_20 ),
    inference(sat_conversion,[],[f1588]) ).

cnf(s199,plain,
    ( ~ spl0_13
    | spl0_38 ),
    inference(sat_conversion,[],[f1590]) ).

cnf(s200,plain,
    ( spl0_1
    | ~ spl0_26 ),
    inference(sat_conversion,[],[f1592]) ).

cnf(s202,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | ~ spl0_20 ),
    inference(sat_conversion,[],[f1613]) ).

cnf(s207,plain,
    ( ~ spl0_4
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(sat_conversion,[],[f1637]) ).

cnf(s213,plain,
    ( ~ spl0_1
    | ~ spl0_4 ),
    inference(sat_conversion,[],[f1658]) ).

cnf(s219,plain,
    ( ~ spl0_4
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(sat_conversion,[],[f1673]) ).

cnf(s225,plain,
    ( ~ spl0_4
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(sat_conversion,[],[f1701]) ).

cnf(s228,plain,
    ( ~ spl0_1
    | ~ spl0_7 ),
    inference(sat_conversion,[],[f1735]) ).

cnf(s231,plain,
    ( ~ spl0_1
    | ~ spl0_10 ),
    inference(sat_conversion,[],[f1748]) ).

cnf(s236,plain,
    ( ~ spl0_3
    | ~ spl0_7
    | ~ spl0_16 ),
    inference(sat_conversion,[],[f1782]) ).

cnf(s239,plain,
    ( ~ spl0_3
    | ~ spl0_10 ),
    inference(sat_conversion,[],[f1799]) ).

cnf(s247,plain,
    ( ~ spl0_2
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(sat_conversion,[],[f1829]) ).

cnf(s248,plain,
    ( ~ spl0_2
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(sat_conversion,[],[f1837]) ).

cnf(s257,plain,
    ( ~ spl0_9
    | ~ spl0_43 ),
    inference(sat_conversion,[],[f1873]) ).

cnf(s266,plain,
    ( ~ spl0_1
    | ~ spl0_9 ),
    inference(sat_conversion,[],[f1899]) ).

cnf(s271,plain,
    ( ~ spl0_1
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(sat_conversion,[],[f1913]) ).

cnf(s275,plain,
    ( ~ spl0_15
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f1926]) ).

cnf(s277,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | ~ spl0_19 ),
    inference(sat_conversion,[],[f1934]) ).

cnf(s284,plain,
    ( ~ spl0_20
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f2000]) ).

cnf(s287,plain,
    ( ~ spl0_20
    | spl0_49 ),
    inference(sat_conversion,[],[f2005]) ).

cnf(s288,plain,
    ( ~ spl0_1
    | ~ spl0_22 ),
    inference(sat_conversion,[],[f2013]) ).

cnf(s291,plain,
    ( ~ spl0_1
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(sat_conversion,[],[f2032]) ).

cnf(s292,plain,
    ( ~ spl0_18
    | spl0_39 ),
    inference(sat_conversion,[],[f2050]) ).

cnf(s294,plain,
    ( ~ spl0_1
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(sat_conversion,[],[f2065]) ).

cnf(s297,plain,
    ( ~ spl0_15
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f2079]) ).

cnf(s301,plain,
    ( ~ spl0_1
    | ~ spl0_21 ),
    inference(sat_conversion,[],[f2098]) ).

cnf(s306,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(sat_conversion,[],[f2118]) ).

cnf(s315,plain,
    ( ~ spl0_3
    | ~ spl0_37 ),
    inference(sat_conversion,[],[f2150]) ).

cnf(s323,plain,
    ( ~ spl0_2
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(sat_conversion,[],[f2182]) ).

cnf(s327,plain,
    ( ~ spl0_4
    | ~ spl0_12
    | ~ spl0_25 ),
    inference(sat_conversion,[],[f2211]) ).

cnf(s328,plain,
    ( ~ spl0_4
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(sat_conversion,[],[f2213]) ).

cnf(s331,plain,
    ( ~ spl0_4
    | ~ spl0_14
    | ~ spl0_25 ),
    inference(sat_conversion,[],[f2221]) ).

cnf(s333,plain,
    ( ~ spl0_4
    | ~ spl0_13
    | ~ spl0_25 ),
    inference(sat_conversion,[],[f2237]) ).

cnf(s334,plain,
    ( ~ spl0_4
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(sat_conversion,[],[f2239]) ).

cnf(s337,plain,
    ( ~ spl0_4
    | ~ spl0_9
    | ~ spl0_20 ),
    inference(sat_conversion,[],[f2263]) ).

cnf(s338,plain,
    ( spl0_11
    | spl0_15
    | spl0_27
    | ~ spl0_5
    | spl0_26 ),
    inference(rat,[],[s3,s97,s102,s104,s99,s6,s48,s77,s63]) ).

cnf(s339,plain,
    ( ~ spl0_11
    | ~ spl0_5 ),
    inference(rat,[],[s5,s61,s62,s64,s66,s63]) ).

cnf(s340,plain,
    ( spl0_27
    | ~ spl0_5
    | spl0_26 ),
    inference(rat,[],[s99,s95,s6,s338,s77,s63,s48,s339]) ).

cnf(s341,plain,
    ( ~ spl0_5
    | spl0_26 ),
    inference(rat,[],[s3,s95,s97,s102,s104,s4,s82,s56,s108,s109,s16,s78,s340,s339]) ).

cnf(s342,plain,
    ( ~ spl0_14
    | spl0_48
    | spl0_6
    | ~ spl0_4
    | spl0_46 ),
    inference(rat,[],[s2,s198,s202,s28,s10,s257,s29,s96,s331,s26,s188]) ).

cnf(s343,plain,
    ( ~ spl0_16
    | spl0_14
    | spl0_15
    | spl0_11
    | ~ spl0_4 ),
    inference(rat,[],[s3,s328,s334]) ).

cnf(s344,plain,
    ( ~ spl0_20
    | spl0_6
    | ~ spl0_4 ),
    inference(rat,[],[s2,s198,s202,s337,s188]) ).

cnf(s345,plain,
    ( spl0_15
    | spl0_11
    | spl0_6
    | ~ spl0_4
    | spl0_26 ),
    inference(rat,[],[s77,s6,s31,s99,s29,s343,s10,s342,s27,s25,s341,s26,s188,s78,s28,s344,s48]) ).

cnf(s346,plain,
    ( ~ spl0_15
    | spl0_20
    | ~ spl0_4 ),
    inference(rat,[],[s4,s207,s219,s225,s162,s184]) ).

cnf(s347,plain,
    ( spl0_6
    | ~ spl0_4
    | spl0_26 ),
    inference(rat,[],[s29,s54,s10,s345,s27,s346,s28,s344,s25,s341,s26,s188]) ).

cnf(s348,plain,
    ( ~ spl0_4
    | spl0_26 ),
    inference(rat,[],[s3,s54,s327,s331,s333,s29,s10,s27,s346,s28,s113,s347,s26,s188,s25,s341]) ).

cnf(s349,plain,
    ( ~ spl0_16
    | ~ spl0_3 ),
    inference(rat,[],[s2,s236,s156,s239,s120,s88,s315]) ).

cnf(s350,plain,
    ( ~ spl0_3
    | spl0_26 ),
    inference(rat,[],[s5,s121,s131,s148,s48,s6,s99,s349,s78,s77,s120,s155,s158]) ).

cnf(s351,plain,
    ( spl0_11
    | spl0_1 ),
    inference(rat,[],[s3,s247,s248,s323,s99,s6,s48,s77,s78,s124,s275,s65,s5,s125,s167,s165,s138,s1,s350,s341,s348,s200]) ).

cnf(s352,plain,
    spl0_1,
    inference(rat,[],[s13,s8,s180,s174,s22,s9,s19,s171,s21,s176,s351,s182,s41,s18,s125,s138,s140,s1,s12,s350,s17,s348,s341,s200]) ).

cnf(s353,plain,
    ~ spl0_21,
    inference(rat,[],[s301,s352]) ).

cnf(s354,plain,
    ~ spl0_22,
    inference(rat,[],[s288,s352]) ).

cnf(s356,plain,
    ~ spl0_9,
    inference(rat,[],[s266,s352]) ).

cnf(s357,plain,
    ~ spl0_10,
    inference(rat,[],[s231,s352]) ).

cnf(s358,plain,
    ~ spl0_7,
    inference(rat,[],[s228,s352]) ).

cnf(s359,plain,
    ~ spl0_4,
    inference(rat,[],[s213,s352]) ).

cnf(s361,plain,
    ~ spl0_28,
    inference(rat,[],[s150,s352]) ).

cnf(s362,plain,
    ~ spl0_23,
    inference(rat,[],[s117,s352]) ).

cnf(s363,plain,
    ~ spl0_6,
    inference(rat,[],[s116,s352]) ).

cnf(s366,plain,
    ~ spl0_42,
    inference(rat,[],[s18,s356]) ).

cnf(s368,plain,
    spl0_8,
    inference(rat,[],[s2,s356,s363,s358,s357]) ).

cnf(s369,plain,
    ~ spl0_41,
    inference(rat,[],[s17,s359]) ).

cnf(s372,plain,
    ~ spl0_11,
    inference(rat,[],[s111,s361]) ).

cnf(s375,plain,
    ~ spl0_16,
    inference(rat,[],[s306,s352,s368]) ).

cnf(s376,plain,
    ~ spl0_19,
    inference(rat,[],[s277,s352,s368]) ).

cnf(s378,plain,
    ~ spl0_38,
    inference(rat,[],[s84,s368]) ).

cnf(s379,plain,
    ~ spl0_39,
    inference(rat,[],[s60,s368]) ).

cnf(s384,plain,
    ~ spl0_44,
    inference(rat,[],[s22,s376]) ).

cnf(s385,plain,
    ~ spl0_13,
    inference(rat,[],[s199,s378]) ).

cnf(s386,plain,
    ~ spl0_18,
    inference(rat,[],[s292,s379]) ).

cnf(s387,plain,
    ( spl0_14
    | spl0_15 ),
    inference(rat,[],[s41,s294,s9,s3,s19,s352,s384,s369,s366,s372,s385]) ).

cnf(s388,plain,
    ~ spl0_14,
    inference(rat,[],[s65,s5,s284,s74,s4,s71,s271,s354,s353,s362,s375,s376,s386,s352]) ).

cnf(s390,plain,
    spl0_15,
    inference(rat,[],[s387,s388]) ).

cnf(s392,plain,
    ~ spl0_49,
    inference(rat,[],[s297,s390]) ).

cnf(s393,plain,
    ~ spl0_17,
    inference(rat,[],[s291,s352,s390]) ).

cnf(s397,plain,
    ~ spl0_20,
    inference(rat,[],[s287,s392]) ).

cnf(s399,plain,
    $false,
    inference(rat,[],[s4,s386,s376,s375,s397,s393]) ).

fof(f2264,plain,
    $false,
    inference(avatar_sat_refutation,[],[s399]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ALG180+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20  % Computer : n019.cluster.edu
% 0.09/0.20  % Model    : x86_64 x86_64
% 0.09/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20  % Memory   : 8046.5625MB
% 0.09/0.20  % OS       : Linux 6.8.0-71-generic
% 0.09/0.20  % CPULimit : 300
% 0.09/0.20  % WCLimit  : 300
% 0.09/0.20  % DateTime : Mon Sep 28 19:38:48 UTC 2026
% 0.09/0.20  % CPUTime  : 
% 0.09/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23  Running first-order theorem proving
% 0.09/0.23  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.92/1.09  % (153819)Detected formulas, will run a generic FOF schedule.
% 2.92/1.09  % (153827)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3339817504:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.92/1.09  % (153827)Instruction limit reached! 
% 2.92/1.09  % (153827)------------------------------
% 2.92/1.09  % (153827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.92/1.09  % (153827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.09  % (153827)CaDiCaL version: 2.1.3
% 2.92/1.09  % (153827)Termination reason: Instruction limit
% 2.92/1.09  % (153827)Termination phase: Saturation
% 2.92/1.09  % (153827)Time elapsed: 0.033 s
% 2.92/1.09  % (153827)Peak memory usage: 89 MB
% 2.92/1.09  % (153827)Instructions burned: 109 (million)
% 2.92/1.09  % (153824)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3487919849:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.92/1.09  % (153826)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2882003765:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.92/1.09  % (153825)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1036717282:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.92/1.09  % (153830)dis-21_1_sil=8000:lcm=predicate:random_seed=2086950261:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.92/1.09  % (153828)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1857331256:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.92/1.09  % (153830)Refutation not found, incomplete strategy
% 2.92/1.09  % (153830)------------------------------
% 2.92/1.09  % (153830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.92/1.09  % (153830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.09  % (153830)CaDiCaL version: 2.1.3
% 2.92/1.09  % (153830)Termination reason: Refutation not found, incomplete strategy
% 2.92/1.09  % (153830)Time elapsed: 0.005 s
% 2.92/1.09  % (153830)Peak memory usage: 88 MB
% 2.92/1.09  % (153830)Instructions burned: 8 (million)
% 2.92/1.09  % (153829)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3415449788:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.92/1.09  % (153828)Instruction limit reached! 
% 2.92/1.09  % (153828)------------------------------
% 2.92/1.09  % (153828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.92/1.09  % (153828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.09  % (153828)CaDiCaL version: 2.1.3
% 2.92/1.09  % (153828)Termination reason: Instruction limit
% 2.92/1.09  % (153828)Termination phase: Saturation
% 2.92/1.09  % (153828)Time elapsed: 0.051 s
% 2.92/1.09  % (153828)Peak memory usage: 87 MB
% 2.92/1.09  % (153828)Instructions burned: 121 (million)
% 2.92/1.09  % (153835)lrs+10_1_sil=8000:sp=occurrence:random_seed=1137694545:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.92/1.09  % (153829)Instruction limit reached! 
% 2.92/1.09  % (153829)------------------------------
% 2.92/1.09  % (153829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.92/1.09  % (153829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.09  % (153829)CaDiCaL version: 2.1.3
% 2.92/1.09  % (153829)Termination reason: Instruction limit
% 2.92/1.09  % (153829)Termination phase: Saturation
% 2.92/1.09  % (153829)Time elapsed: 0.076 s
% 2.92/1.09  % (153829)Peak memory usage: 89 MB
% 2.92/1.09  % (153829)Instructions burned: 139 (million)
% 2.92/1.09  % (153835)First to succeed.
% 2.92/1.09  % (153835)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-153819"
% 2.92/1.09  % (153839)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2170344581:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.92/1.09  % (153841)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3333042069:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 2.92/1.09  % (153839)Also succeeded, but the first one will report.
% 2.92/1.09  % (153830)------------------------------
% 2.92/1.09  % (153830)------------------------------
% 2.92/1.09  % (153841)Also succeeded, but the first one will report.
% 2.92/1.09  % (153835)Refutation found. Thanks to Tanya!
% 2.92/1.09  % SZS status Theorem for theBenchmark
% 2.92/1.09  % SZS output start Proof for theBenchmark
% See solution above
% 3.52/1.28  % (153835)------------------------------
% 3.52/1.28  % (153835)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/1.28  % (153835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/1.28  % (153835)CaDiCaL version: 2.1.3
% 3.52/1.28  % (153835)Termination reason: Refutation
% 3.52/1.28  % (153835)Time elapsed: 0.021 s
% 3.52/1.28  % (153835)Peak memory usage: 90 MB
% 3.52/1.28  % (153835)Instructions burned: 72 (million)
% 3.52/1.28  % (153835)------------------------------
% 3.52/1.28  % (153835)------------------------------
% 3.52/1.28  % (153819)Success in time 0.412 s
% 3.52/1.28  % Vampire exiting
%------------------------------------------------------------------------------