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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : ALG077+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 09:21:18 AM UTC 2026

% Result   : Theorem 0.18s 0.28s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   45
%            Number of leaves      :   55
% Syntax   : Number of formulae    :  959 (  85 unt;  50 def)
%            Number of atoms       : 2971 (1039 equ)
%            Maximal formula atoms :  110 (   3 avg)
%            Number of connectives : 3547 (1535   ~;1620   |; 340   &)
%                                         (  50 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   70 (   4 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :   52 (  50 usr;  51 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) = e10
    & op1(e10,e11) = e11
    & op1(e10,e12) = e12
    & op1(e10,e13) = e13
    & op1(e10,e14) = e14
    & op1(e11,e10) = e11
    & op1(e11,e11) = e14
    & op1(e11,e12) = e13
    & op1(e11,e13) = e10
    & op1(e11,e14) = e12
    & op1(e12,e10) = e12
    & op1(e12,e11) = e10
    & op1(e12,e12) = e14
    & op1(e12,e13) = e11
    & op1(e12,e14) = e13
    & op1(e13,e10) = e13
    & op1(e13,e11) = e12
    & op1(e13,e12) = e10
    & op1(e13,e13) = e14
    & op1(e13,e14) = e11
    & op1(e14,e10) = e14
    & op1(e14,e11) = e13
    & op1(e14,e12) = e11
    & op1(e14,e13) = e12
    & op1(e14,e14) = e10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).

fof(f5,axiom,
    ( op2(e20,e20) = e20
    & op2(e20,e21) = e21
    & op2(e20,e22) = e22
    & op2(e20,e23) = e23
    & op2(e20,e24) = e24
    & op2(e21,e20) = e21
    & op2(e21,e21) = e22
    & op2(e21,e22) = e23
    & op2(e21,e23) = e24
    & op2(e21,e24) = e20
    & op2(e22,e20) = e22
    & op2(e22,e21) = e24
    & op2(e22,e22) = e21
    & op2(e22,e23) = e20
    & op2(e22,e24) = e23
    & op2(e23,e20) = e23
    & op2(e23,e21) = e20
    & op2(e23,e22) = e24
    & op2(e23,e23) = e21
    & op2(e23,e24) = e22
    & op2(e24,e20) = e24
    & op2(e24,e21) = e23
    & op2(e24,e22) = e20
    & op2(e24,e23) = e22
    & op2(e24,e24) = e21 ),
    file('/export/starexec/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,
    e13 != e14,
    inference(cnf_transformation,[],[f1]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f28,plain,
    e20 != e22,
    inference(cnf_transformation,[],[f2]) ).

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

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

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

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

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

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

fof(f62,plain,
    e10 = op1(e13,e12),
    inference(cnf_transformation,[],[f4]) ).

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

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

fof(f68,plain,
    e10 = op1(e12,e11),
    inference(cnf_transformation,[],[f4]) ).

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

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

fof(f71,plain,
    e10 = op1(e11,e13),
    inference(cnf_transformation,[],[f4]) ).

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

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

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

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

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

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

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

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

fof(f85,plain,
    e22 = op2(e23,e24),
    inference(cnf_transformation,[],[f5]) ).

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

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

fof(f107,plain,
    ( e24 = h(e12)
    | e23 = h(e12)
    | e22 = h(e12)
    | e21 = h(e12)
    | e20 = h(e12) ),
    inference(cnf_transformation,[],[f9]) ).

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

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

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

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

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

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

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

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

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

fof(f117,plain,
    e12 = j(h(e12)),
    inference(cnf_transformation,[],[f9]) ).

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

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

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

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

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

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

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

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

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

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

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

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

fof(f130,plain,
    j(op2(e23,e24)) = op1(j(e23),j(e24)),
    inference(cnf_transformation,[],[f9]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f198,plain,
    ( e20 != h(e11)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f197]) ).

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

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

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

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

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

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

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

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

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

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

fof(f218,definition,
    ( spl0_11
  <=> e20 = h(e12) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f219,plain,
    ( e20 != h(e12)
    | spl0_11 ),
    inference(avatar_component_clause,[],[f218]) ).

fof(f220,plain,
    ( e20 = h(e12)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f218]) ).

fof(f222,definition,
    ( spl0_12
  <=> e21 = h(e12) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f223,plain,
    ( e21 != h(e12)
    | spl0_12 ),
    inference(avatar_component_clause,[],[f222]) ).

fof(f224,plain,
    ( e21 = h(e12)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f222]) ).

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

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

fof(f230,definition,
    ( spl0_14
  <=> e23 = h(e12) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f232,plain,
    ( e23 = h(e12)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f230]) ).

fof(f234,definition,
    ( spl0_15
  <=> e24 = h(e12) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f236,plain,
    ( e24 = h(e12)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f234]) ).

fof(f237,plain,
    ( spl0_11
    | spl0_12
    | spl0_13
    | spl0_14
    | spl0_15 ),
    inference(avatar_split_clause,[],[f107,f234,f230,f226,f222,f218]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f265,plain,
    ( e21 != h(e14)
    | spl0_22 ),
    inference(avatar_component_clause,[],[f264]) ).

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

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

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

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

fof(f273,plain,
    ( e23 != h(e14)
    | spl0_24 ),
    inference(avatar_component_clause,[],[f272]) ).

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

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

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

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

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

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

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

fof(f286,plain,
    ( e11 != j(e20)
    | spl0_27 ),
    inference(avatar_component_clause,[],[f285]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f328,plain,
    ( e11 != j(e22)
    | spl0_37 ),
    inference(avatar_component_clause,[],[f327]) ).

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

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

fof(f332,plain,
    ( e12 != j(e22)
    | spl0_38 ),
    inference(avatar_component_clause,[],[f331]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f436,plain,
    ( e10 = e13
    | ~ spl0_18
    | ~ spl0_36 ),
    inference(forward_demodulation,[],[f435,f325]) ).

fof(f437,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_36 ),
    inference(forward_subsumption_resolution,[],[f436,f17]) ).

fof(f438,plain,
    ( ~ spl0_18
    | ~ spl0_36 ),
    inference(avatar_contradiction_clause,[],[f437]) ).

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

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

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

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

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

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

fof(f470,plain,
    ( e12 = e14
    | ~ spl0_33
    | ~ spl0_35 ),
    inference(forward_demodulation,[],[f320,f312]) ).

fof(f471,plain,
    ( $false
    | ~ spl0_33
    | ~ spl0_35 ),
    inference(forward_subsumption_resolution,[],[f470,f11]) ).

fof(f472,plain,
    ( ~ spl0_33
    | ~ spl0_35 ),
    inference(avatar_contradiction_clause,[],[f471]) ).

fof(f479,plain,
    ( e12 = j(e20)
    | ~ spl0_11 ),
    inference(superposition,[],[f117,f220]) ).

fof(f480,plain,
    ( spl0_28
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f479,f218,f289]) ).

fof(f482,plain,
    ( e12 = j(e22)
    | ~ spl0_13 ),
    inference(superposition,[],[f117,f228]) ).

fof(f483,plain,
    ( e10 = e12
    | ~ spl0_13
    | ~ spl0_36 ),
    inference(forward_demodulation,[],[f482,f325]) ).

fof(f484,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_36 ),
    inference(forward_subsumption_resolution,[],[f483,f18]) ).

fof(f485,plain,
    ( ~ spl0_13
    | ~ spl0_36 ),
    inference(avatar_contradiction_clause,[],[f484]) ).

fof(f488,plain,
    ( e12 = j(e23)
    | ~ spl0_14 ),
    inference(superposition,[],[f117,f232]) ).

fof(f489,plain,
    ( e10 = e12
    | ~ spl0_14
    | ~ spl0_41 ),
    inference(forward_demodulation,[],[f488,f346]) ).

fof(f490,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_41 ),
    inference(forward_subsumption_resolution,[],[f489,f18]) ).

fof(f491,plain,
    ( ~ spl0_14
    | ~ spl0_41 ),
    inference(avatar_contradiction_clause,[],[f490]) ).

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

fof(f494,plain,
    ( $false
    | ~ spl0_6
    | spl0_27 ),
    inference(forward_subsumption_resolution,[],[f493,f286]) ).

fof(f495,plain,
    ( ~ spl0_6
    | spl0_27 ),
    inference(avatar_contradiction_clause,[],[f494]) ).

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

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

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

fof(f509,plain,
    ( e10 = e13
    | ~ spl0_26
    | ~ spl0_29 ),
    inference(superposition,[],[f283,f295]) ).

fof(f514,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[],[f509,f17]) ).

fof(f515,plain,
    ( ~ spl0_26
    | ~ spl0_29 ),
    inference(avatar_contradiction_clause,[],[f514]) ).

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

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

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

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

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

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

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

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

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

fof(f556,plain,
    ( e21 = h(e14)
    | ~ spl0_35 ),
    inference(superposition,[],[f123,f320]) ).

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

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

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

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

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

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

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

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

fof(f566,plain,
    ( e11 = e12
    | ~ spl0_13
    | ~ spl0_37 ),
    inference(forward_demodulation,[],[f482,f329]) ).

fof(f571,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_37 ),
    inference(forward_subsumption_resolution,[],[f566,f15]) ).

fof(f572,plain,
    ( ~ spl0_13
    | ~ spl0_37 ),
    inference(avatar_contradiction_clause,[],[f571]) ).

fof(f582,plain,
    ( spl0_14
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f554,f352,f230]) ).

fof(f587,plain,
    ( e12 = j(e24)
    | ~ spl0_15 ),
    inference(superposition,[],[f117,f236]) ).

fof(f588,plain,
    ( spl0_48
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f587,f234,f373]) ).

fof(f589,plain,
    ( e12 = e13
    | ~ spl0_28
    | ~ spl0_29 ),
    inference(superposition,[],[f291,f295]) ).

fof(f590,plain,
    ( e20 = h(e12)
    | ~ spl0_28 ),
    inference(superposition,[],[f124,f291]) ).

fof(f595,plain,
    ( $false
    | spl0_11
    | ~ spl0_28 ),
    inference(forward_subsumption_resolution,[],[f590,f219]) ).

fof(f596,plain,
    ( spl0_11
    | ~ spl0_28 ),
    inference(avatar_contradiction_clause,[],[f595]) ).

fof(f597,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[],[f589,f12]) ).

fof(f598,plain,
    ( ~ spl0_28
    | ~ spl0_29 ),
    inference(avatar_contradiction_clause,[],[f597]) ).

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

fof(f603,plain,
    ( e24 = h(e12)
    | ~ spl0_48 ),
    inference(superposition,[],[f120,f375]) ).

fof(f606,plain,
    ( e12 = e13
    | ~ spl0_48
    | ~ spl0_49 ),
    inference(superposition,[],[f379,f375]) ).

fof(f610,plain,
    ( e24 = h(e13)
    | ~ spl0_49 ),
    inference(superposition,[],[f120,f379]) ).

fof(f611,plain,
    ( e20 = e24
    | ~ spl0_16
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f610,f241]) ).

fof(f615,plain,
    ( $false
    | ~ spl0_48
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[],[f606,f12]) ).

fof(f616,plain,
    ( ~ spl0_48
    | ~ spl0_49 ),
    inference(avatar_contradiction_clause,[],[f615]) ).

fof(f617,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[],[f611,f26]) ).

fof(f618,plain,
    ( ~ spl0_16
    | ~ spl0_49 ),
    inference(avatar_contradiction_clause,[],[f617]) ).

fof(f622,plain,
    ( j(op2(e24,e23)) = op1(e12,j(e23))
    | ~ spl0_48 ),
    inference(superposition,[],[f126,f375]) ).

fof(f623,plain,
    ( j(op2(e24,e23)) = op1(j(e24),e10)
    | ~ spl0_41 ),
    inference(superposition,[],[f126,f346]) ).

fof(f625,plain,
    ( op1(e12,e10) = j(op2(e24,e23))
    | ~ spl0_41
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f622,f346]) ).

fof(f627,plain,
    ( op1(e12,e10) = j(e22)
    | ~ spl0_41
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f625,f81]) ).

fof(f630,plain,
    ( j(op2(e24,e22)) = op1(e12,j(e22))
    | ~ spl0_48 ),
    inference(superposition,[],[f127,f375]) ).

fof(f633,plain,
    ( op1(e12,e11) = j(op2(e24,e22))
    | ~ spl0_37
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f630,f329]) ).

fof(f635,plain,
    ( op1(e12,e11) = j(e20)
    | ~ spl0_37
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f633,f82]) ).

fof(f637,plain,
    ( e13 = op1(e12,e11)
    | ~ spl0_29
    | ~ spl0_37
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f635,f295]) ).

fof(f639,plain,
    ( e10 = e13
    | ~ spl0_29
    | ~ spl0_37
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f637,f68]) ).

fof(f642,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_37
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[],[f639,f17]) ).

fof(f643,plain,
    ( ~ spl0_29
    | ~ spl0_37
    | ~ spl0_48 ),
    inference(avatar_contradiction_clause,[],[f642]) ).

fof(f644,plain,
    ( $false
    | ~ spl0_8
    | spl0_37 ),
    inference(forward_subsumption_resolution,[],[f541,f328]) ).

fof(f645,plain,
    ( ~ spl0_8
    | spl0_37 ),
    inference(avatar_contradiction_clause,[],[f644]) ).

fof(f647,plain,
    ( e14 = op1(e12,e10)
    | ~ spl0_40
    | ~ spl0_41
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f627,f341]) ).

fof(f650,plain,
    ( e12 = e14
    | ~ spl0_40
    | ~ spl0_41
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f647,f69]) ).

fof(f654,plain,
    ( $false
    | ~ spl0_40
    | ~ spl0_41
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[],[f650,f11]) ).

fof(f655,plain,
    ( ~ spl0_40
    | ~ spl0_41
    | ~ spl0_48 ),
    inference(avatar_contradiction_clause,[],[f654]) ).

fof(f657,plain,
    ( spl0_47
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f497,f213,f369]) ).

fof(f671,plain,
    ( e22 = h(e12)
    | ~ spl0_38 ),
    inference(superposition,[],[f122,f333]) ).

fof(f673,plain,
    ( spl0_13
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f671,f331,f226]) ).

fof(f687,plain,
    ( e22 = e24
    | ~ spl0_13
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f603,f228]) ).

fof(f688,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[],[f687,f21]) ).

fof(f689,plain,
    ( ~ spl0_13
    | ~ spl0_48 ),
    inference(avatar_contradiction_clause,[],[f688]) ).

fof(f692,plain,
    ( op1(e11,e10) = j(op2(e24,e23))
    | ~ spl0_41
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f623,f371]) ).

fof(f694,plain,
    ( op1(e11,e10) = j(e22)
    | ~ spl0_41
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f692,f81]) ).

fof(f696,plain,
    ( e12 = op1(e11,e10)
    | ~ spl0_38
    | ~ spl0_41
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f694,f333]) ).

fof(f698,plain,
    ( e11 = e12
    | ~ spl0_38
    | ~ spl0_41
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f696,f74]) ).

fof(f699,plain,
    ( $false
    | ~ spl0_38
    | ~ spl0_41
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f698,f15]) ).

fof(f700,plain,
    ( ~ spl0_38
    | ~ spl0_41
    | ~ spl0_47 ),
    inference(avatar_contradiction_clause,[],[f699]) ).

fof(f701,plain,
    ( $false
    | ~ spl0_13
    | spl0_38 ),
    inference(forward_subsumption_resolution,[],[f482,f332]) ).

fof(f702,plain,
    ( ~ spl0_13
    | spl0_38 ),
    inference(avatar_contradiction_clause,[],[f701]) ).

fof(f705,plain,
    ( e14 = op1(e11,e10)
    | ~ spl0_40
    | ~ spl0_41
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f694,f341]) ).

fof(f706,plain,
    ( e11 = e14
    | ~ spl0_40
    | ~ spl0_41
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f705,f74]) ).

fof(f707,plain,
    ( $false
    | ~ spl0_40
    | ~ spl0_41
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f706,f13]) ).

fof(f708,plain,
    ( ~ spl0_40
    | ~ spl0_41
    | ~ spl0_47 ),
    inference(avatar_contradiction_clause,[],[f707]) ).

fof(f714,plain,
    ( e10 = j(e22)
    | ~ spl0_3 ),
    inference(superposition,[],[f119,f186]) ).

fof(f723,plain,
    ( spl0_43
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f488,f230,f352]) ).

fof(f748,plain,
    ( e12 = j(e21)
    | ~ spl0_12 ),
    inference(superposition,[],[f117,f224]) ).

fof(f751,plain,
    ( e11 = e12
    | ~ spl0_15
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f587,f371]) ).

fof(f754,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f751,f15]) ).

fof(f755,plain,
    ( ~ spl0_15
    | ~ spl0_47 ),
    inference(avatar_contradiction_clause,[],[f754]) ).

fof(f758,plain,
    ( e10 = e11
    | ~ spl0_9
    | ~ spl0_41 ),
    inference(forward_demodulation,[],[f530,f346]) ).

fof(f761,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_41 ),
    inference(forward_subsumption_resolution,[],[f758,f19]) ).

fof(f762,plain,
    ( ~ spl0_9
    | ~ spl0_41 ),
    inference(avatar_contradiction_clause,[],[f761]) ).

fof(f765,plain,
    ( spl0_27
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f493,f197,f285]) ).

fof(f771,plain,
    ( e11 = j(e20)
    | ~ spl0_6 ),
    inference(superposition,[],[f118,f199]) ).

fof(f789,plain,
    ( e11 = e14
    | ~ spl0_32
    | ~ spl0_35 ),
    inference(superposition,[],[f308,f320]) ).

fof(f796,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_35 ),
    inference(forward_subsumption_resolution,[],[f789,f13]) ).

fof(f797,plain,
    ( ~ spl0_32
    | ~ spl0_35 ),
    inference(avatar_contradiction_clause,[],[f796]) ).

fof(f798,plain,
    ( spl0_36
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f714,f184,f323]) ).

fof(f812,plain,
    ( j(op2(e24,e22)) = op1(j(e24),e10)
    | ~ spl0_36 ),
    inference(superposition,[],[f127,f325]) ).

fof(f814,plain,
    ( op1(e12,e10) = j(op2(e24,e22))
    | ~ spl0_36
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f812,f375]) ).

fof(f815,plain,
    ( op1(e12,e10) = j(e20)
    | ~ spl0_36
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f814,f82]) ).

fof(f816,plain,
    ( e13 = op1(e12,e10)
    | ~ spl0_29
    | ~ spl0_36
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f815,f295]) ).

fof(f817,plain,
    ( e12 = e13
    | ~ spl0_29
    | ~ spl0_36
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f816,f69]) ).

fof(f818,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_36
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[],[f817,f12]) ).

fof(f819,plain,
    ( ~ spl0_29
    | ~ spl0_36
    | ~ spl0_48 ),
    inference(avatar_contradiction_clause,[],[f818]) ).

fof(f820,plain,
    ( spl0_33
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f748,f222,f310]) ).

fof(f822,plain,
    ( spl0_50
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f411,f276,f381]) ).

fof(f831,plain,
    ( e12 = j(e21)
    | ~ spl0_12 ),
    inference(superposition,[],[f117,f224]) ).

fof(f837,plain,
    ( e21 = h(e12)
    | ~ spl0_33 ),
    inference(superposition,[],[f123,f312]) ).

fof(f843,plain,
    ( e22 = h(e13)
    | ~ spl0_39 ),
    inference(superposition,[],[f122,f337]) ).

fof(f864,plain,
    ( e11 = e13
    | ~ spl0_42
    | ~ spl0_44 ),
    inference(superposition,[],[f358,f350]) ).

fof(f867,plain,
    ( e23 = h(e13)
    | ~ spl0_44 ),
    inference(superposition,[],[f121,f358]) ).

fof(f873,plain,
    ( $false
    | ~ spl0_42
    | ~ spl0_44 ),
    inference(forward_subsumption_resolution,[],[f864,f14]) ).

fof(f874,plain,
    ( ~ spl0_42
    | ~ spl0_44 ),
    inference(avatar_contradiction_clause,[],[f873]) ).

fof(f881,plain,
    ( op1(e14,e14) = j(op2(e24,e24))
    | ~ spl0_50 ),
    inference(superposition,[],[f125,f383]) ).

fof(f890,plain,
    ( op1(e14,e14) = j(e21)
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f881,f80]) ).

fof(f893,plain,
    ( e12 = op1(e14,e14)
    | ~ spl0_33
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f890,f312]) ).

fof(f896,plain,
    ( e10 = e12
    | ~ spl0_33
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f893,f55]) ).

fof(f897,plain,
    ( $false
    | ~ spl0_33
    | ~ spl0_50 ),
    inference(forward_subsumption_resolution,[],[f896,f18]) ).

fof(f898,plain,
    ( ~ spl0_33
    | ~ spl0_50 ),
    inference(avatar_contradiction_clause,[],[f897]) ).

fof(f917,plain,
    ( e12 = e13
    | ~ spl0_17
    | ~ spl0_33 ),
    inference(forward_demodulation,[],[f429,f312]) ).

fof(f918,plain,
    ( e21 = e24
    | ~ spl0_17
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f610,f245]) ).

fof(f925,plain,
    ( $false
    | spl0_16
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[],[f557,f240]) ).

fof(f926,plain,
    ( spl0_16
    | ~ spl0_29 ),
    inference(avatar_contradiction_clause,[],[f925]) ).

fof(f928,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_33 ),
    inference(forward_subsumption_resolution,[],[f917,f12]) ).

fof(f929,plain,
    ( ~ spl0_17
    | ~ spl0_33 ),
    inference(avatar_contradiction_clause,[],[f928]) ).

fof(f930,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[],[f918,f23]) ).

fof(f931,plain,
    ( ~ spl0_17
    | ~ spl0_49 ),
    inference(avatar_contradiction_clause,[],[f930]) ).

fof(f938,plain,
    ( e11 = e13
    | ~ spl0_17
    | ~ spl0_32 ),
    inference(forward_demodulation,[],[f429,f308]) ).

fof(f943,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_32 ),
    inference(forward_subsumption_resolution,[],[f938,f14]) ).

fof(f944,plain,
    ( ~ spl0_17
    | ~ spl0_32 ),
    inference(avatar_contradiction_clause,[],[f943]) ).

fof(f950,plain,
    ( e11 = j(e21)
    | ~ spl0_7 ),
    inference(superposition,[],[f118,f203]) ).

fof(f962,plain,
    ( e14 = j(e24)
    | ~ spl0_25 ),
    inference(superposition,[],[f115,f278]) ).

fof(f975,plain,
    ( e23 = h(e14)
    | ~ spl0_45 ),
    inference(superposition,[],[f121,f362]) ).

fof(f976,plain,
    ( $false
    | spl0_24
    | ~ spl0_45 ),
    inference(forward_subsumption_resolution,[],[f975,f273]) ).

fof(f977,plain,
    ( spl0_24
    | ~ spl0_45 ),
    inference(avatar_contradiction_clause,[],[f976]) ).

fof(f988,plain,
    ( e24 = h(e14)
    | ~ spl0_50 ),
    inference(superposition,[],[f120,f383]) ).

fof(f989,plain,
    ( op1(e14,e14) = j(op2(e24,e24))
    | ~ spl0_50 ),
    inference(superposition,[],[f125,f383]) ).

fof(f998,plain,
    ( op1(e14,e14) = j(e21)
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f989,f80]) ).

fof(f1001,plain,
    ( e11 = op1(e14,e14)
    | ~ spl0_32
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f998,f308]) ).

fof(f1004,plain,
    ( e10 = e11
    | ~ spl0_32
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1001,f55]) ).

fof(f1005,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_50 ),
    inference(forward_subsumption_resolution,[],[f1004,f19]) ).

fof(f1006,plain,
    ( ~ spl0_32
    | ~ spl0_50 ),
    inference(avatar_contradiction_clause,[],[f1005]) ).

fof(f1007,plain,
    ( spl0_31
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f502,f180,f302]) ).

fof(f1009,plain,
    ( spl0_40
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f396,f268,f339]) ).

fof(f1011,plain,
    ( e21 = e24
    | ~ spl0_2
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f553,f182]) ).

fof(f1018,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_46 ),
    inference(forward_subsumption_resolution,[],[f1011,f23]) ).

fof(f1019,plain,
    ( ~ spl0_2
    | ~ spl0_46 ),
    inference(avatar_contradiction_clause,[],[f1018]) ).

fof(f1026,plain,
    ( spl0_39
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f435,f247,f335]) ).

fof(f1028,plain,
    ( e20 = e22
    | ~ spl0_16
    | ~ spl0_39 ),
    inference(forward_demodulation,[],[f843,f241]) ).

fof(f1039,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_39 ),
    inference(forward_subsumption_resolution,[],[f1028,f28]) ).

fof(f1040,plain,
    ( ~ spl0_16
    | ~ spl0_39 ),
    inference(avatar_contradiction_clause,[],[f1039]) ).

fof(f1047,plain,
    ( e23 = e24
    | ~ spl0_14
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f603,f232]) ).

fof(f1054,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[],[f1047,f20]) ).

fof(f1055,plain,
    ( ~ spl0_14
    | ~ spl0_48 ),
    inference(avatar_contradiction_clause,[],[f1054]) ).

fof(f1068,plain,
    ( e11 = e14
    | ~ spl0_25
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f962,f371]) ).

fof(f1084,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f1068,f13]) ).

fof(f1085,plain,
    ( ~ spl0_25
    | ~ spl0_47 ),
    inference(avatar_contradiction_clause,[],[f1084]) ).

fof(f1088,plain,
    ( spl0_46
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f525,f192,f365]) ).

fof(f1091,plain,
    ( e10 = e11
    | ~ spl0_7
    | ~ spl0_31 ),
    inference(forward_demodulation,[],[f950,f304]) ).

fof(f1094,plain,
    ( e10 = e12
    | ~ spl0_12
    | ~ spl0_31 ),
    inference(forward_demodulation,[],[f831,f304]) ).

fof(f1097,plain,
    ( spl0_44
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f442,f251,f356]) ).

fof(f1117,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[],[f1091,f19]) ).

fof(f1118,plain,
    ( ~ spl0_7
    | ~ spl0_31 ),
    inference(avatar_contradiction_clause,[],[f1117]) ).

fof(f1121,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[],[f1094,f18]) ).

fof(f1122,plain,
    ( ~ spl0_12
    | ~ spl0_31 ),
    inference(avatar_contradiction_clause,[],[f1121]) ).

fof(f1133,plain,
    ( spl0_45
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f403,f272,f360]) ).

fof(f1154,plain,
    ( spl0_38
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f482,f226,f331]) ).

fof(f1164,plain,
    ( spl0_26
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f506,f176,f281]) ).

fof(f1166,plain,
    ( e12 = e13
    | ~ spl0_18
    | ~ spl0_38 ),
    inference(forward_demodulation,[],[f435,f333]) ).

fof(f1175,plain,
    ( e20 = e23
    | ~ spl0_1
    | ~ spl0_41 ),
    inference(forward_demodulation,[],[f600,f178]) ).

fof(f1176,plain,
    ( e20 = e24
    | ~ spl0_1
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f553,f178]) ).

fof(f1178,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_38 ),
    inference(forward_subsumption_resolution,[],[f1166,f12]) ).

fof(f1179,plain,
    ( ~ spl0_18
    | ~ spl0_38 ),
    inference(avatar_contradiction_clause,[],[f1178]) ).

fof(f1182,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_41 ),
    inference(forward_subsumption_resolution,[],[f1175,f27]) ).

fof(f1183,plain,
    ( ~ spl0_1
    | ~ spl0_41 ),
    inference(avatar_contradiction_clause,[],[f1182]) ).

fof(f1184,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_46 ),
    inference(forward_subsumption_resolution,[],[f1176,f26]) ).

fof(f1185,plain,
    ( ~ spl0_1
    | ~ spl0_46 ),
    inference(avatar_contradiction_clause,[],[f1184]) ).

fof(f1187,plain,
    ( e10 = e11
    | ~ spl0_6
    | ~ spl0_26 ),
    inference(forward_demodulation,[],[f771,f283]) ).

fof(f1189,plain,
    ( spl0_34
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f429,f243,f314]) ).

fof(f1203,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_26 ),
    inference(forward_subsumption_resolution,[],[f1187,f19]) ).

fof(f1204,plain,
    ( ~ spl0_6
    | ~ spl0_26 ),
    inference(avatar_contradiction_clause,[],[f1203]) ).

fof(f1208,plain,
    ( e21 = e23
    | ~ spl0_17
    | ~ spl0_44 ),
    inference(forward_demodulation,[],[f867,f245]) ).

fof(f1212,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_44 ),
    inference(forward_subsumption_resolution,[],[f1208,f24]) ).

fof(f1213,plain,
    ( ~ spl0_17
    | ~ spl0_44 ),
    inference(avatar_contradiction_clause,[],[f1212]) ).

fof(f1225,plain,
    ( e13 = j(e23)
    | ~ spl0_19 ),
    inference(superposition,[],[f116,f253]) ).

fof(f1232,plain,
    ( e20 = h(e11)
    | ~ spl0_27 ),
    inference(superposition,[],[f124,f287]) ).

fof(f1238,plain,
    ( e21 = h(e13)
    | ~ spl0_34 ),
    inference(superposition,[],[f123,f316]) ).

fof(f1239,plain,
    ( $false
    | spl0_17
    | ~ spl0_34 ),
    inference(forward_subsumption_resolution,[],[f1238,f244]) ).

fof(f1240,plain,
    ( spl0_17
    | ~ spl0_34 ),
    inference(avatar_contradiction_clause,[],[f1239]) ).

fof(f1244,plain,
    ( e21 = h(e10)
    | ~ spl0_31 ),
    inference(superposition,[],[f123,f304]) ).

fof(f1245,plain,
    ( $false
    | spl0_2
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[],[f1244,f181]) ).

fof(f1246,plain,
    ( spl0_2
    | ~ spl0_31 ),
    inference(avatar_contradiction_clause,[],[f1245]) ).

fof(f1269,plain,
    ( e12 = e14
    | ~ spl0_38
    | ~ spl0_40 ),
    inference(superposition,[],[f341,f333]) ).

fof(f1280,plain,
    ( $false
    | ~ spl0_38
    | ~ spl0_40 ),
    inference(forward_subsumption_resolution,[],[f1269,f11]) ).

fof(f1281,plain,
    ( ~ spl0_38
    | ~ spl0_40 ),
    inference(avatar_contradiction_clause,[],[f1280]) ).

fof(f1296,plain,
    ( op1(e10,e10) = j(op2(e24,e24))
    | ~ spl0_46 ),
    inference(superposition,[],[f125,f367]) ).

fof(f1302,plain,
    ( op1(e10,e10) = j(e21)
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1296,f80]) ).

fof(f1305,plain,
    ( e13 = op1(e10,e10)
    | ~ spl0_34
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1302,f316]) ).

fof(f1308,plain,
    ( e10 = e13
    | ~ spl0_34
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1305,f79]) ).

fof(f1309,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_46 ),
    inference(forward_subsumption_resolution,[],[f1308,f17]) ).

fof(f1310,plain,
    ( ~ spl0_34
    | ~ spl0_46 ),
    inference(avatar_contradiction_clause,[],[f1309]) ).

fof(f1311,plain,
    ( $false
    | spl0_12
    | ~ spl0_33 ),
    inference(forward_subsumption_resolution,[],[f837,f223]) ).

fof(f1312,plain,
    ( spl0_12
    | ~ spl0_33 ),
    inference(avatar_contradiction_clause,[],[f1311]) ).

fof(f1314,plain,
    ( e12 = op1(e10,e10)
    | ~ spl0_33
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1302,f312]) ).

fof(f1315,plain,
    ( e10 = e12
    | ~ spl0_33
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1314,f79]) ).

fof(f1316,plain,
    ( $false
    | ~ spl0_33
    | ~ spl0_46 ),
    inference(forward_subsumption_resolution,[],[f1315,f18]) ).

fof(f1317,plain,
    ( ~ spl0_33
    | ~ spl0_46 ),
    inference(avatar_contradiction_clause,[],[f1316]) ).

fof(f1322,plain,
    ( e11 = op1(e10,e10)
    | ~ spl0_32
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1302,f308]) ).

fof(f1327,plain,
    ( e10 = e11
    | ~ spl0_32
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1322,f79]) ).

fof(f1328,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_46 ),
    inference(forward_subsumption_resolution,[],[f1327,f19]) ).

fof(f1329,plain,
    ( ~ spl0_32
    | ~ spl0_46 ),
    inference(avatar_contradiction_clause,[],[f1328]) ).

fof(f1334,plain,
    ( $false
    | spl0_22
    | ~ spl0_35 ),
    inference(forward_subsumption_resolution,[],[f556,f265]) ).

fof(f1335,plain,
    ( spl0_22
    | ~ spl0_35 ),
    inference(avatar_contradiction_clause,[],[f1334]) ).

fof(f1375,plain,
    ( e21 = e24
    | ~ spl0_22
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f988,f266]) ).

fof(f1378,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_50 ),
    inference(forward_subsumption_resolution,[],[f1375,f23]) ).

fof(f1379,plain,
    ( ~ spl0_22
    | ~ spl0_50 ),
    inference(avatar_contradiction_clause,[],[f1378]) ).

fof(f1386,plain,
    ( e14 = j(e24)
    | ~ spl0_25 ),
    inference(superposition,[],[f115,f278]) ).

fof(f1390,plain,
    ( e20 = h(e10)
    | ~ spl0_26 ),
    inference(superposition,[],[f124,f283]) ).

fof(f1402,plain,
    ( op1(e14,e14) = j(op2(e24,e24))
    | ~ spl0_50 ),
    inference(superposition,[],[f125,f383]) ).

fof(f1409,plain,
    ( op1(e14,e14) = j(e21)
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1402,f80]) ).

fof(f1412,plain,
    ( e13 = op1(e14,e14)
    | ~ spl0_34
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1409,f316]) ).

fof(f1415,plain,
    ( e10 = e13
    | ~ spl0_34
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1412,f55]) ).

fof(f1416,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_50 ),
    inference(forward_subsumption_resolution,[],[f1415,f17]) ).

fof(f1417,plain,
    ( ~ spl0_34
    | ~ spl0_50 ),
    inference(avatar_contradiction_clause,[],[f1416]) ).

fof(f1418,plain,
    ( spl0_49
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f450,f255,f377]) ).

fof(f1456,plain,
    ( j(op2(e24,e21)) = op1(e13,j(e21))
    | ~ spl0_49 ),
    inference(superposition,[],[f128,f379]) ).

fof(f1464,plain,
    ( j(op2(e24,e20)) = op1(e13,j(e20))
    | ~ spl0_49 ),
    inference(superposition,[],[f129,f379]) ).

fof(f1472,plain,
    ( j(op2(e23,e24)) = op1(e11,j(e24))
    | ~ spl0_42 ),
    inference(superposition,[],[f130,f350]) ).

fof(f1473,plain,
    ( j(op2(e23,e24)) = op1(j(e23),e13)
    | ~ spl0_49 ),
    inference(superposition,[],[f130,f379]) ).

fof(f1475,plain,
    ( op1(e11,e13) = j(op2(e23,e24))
    | ~ spl0_42
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1472,f379]) ).

fof(f1477,plain,
    ( op1(e11,e13) = j(e22)
    | ~ spl0_42
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1475,f85]) ).

fof(f1479,plain,
    ( e12 = op1(e11,e13)
    | ~ spl0_38
    | ~ spl0_42
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1477,f333]) ).

fof(f1481,plain,
    ( e10 = e12
    | ~ spl0_38
    | ~ spl0_42
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1479,f71]) ).

fof(f1484,plain,
    ( $false
    | ~ spl0_38
    | ~ spl0_42
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[],[f1481,f18]) ).

fof(f1485,plain,
    ( ~ spl0_38
    | ~ spl0_42
    | ~ spl0_49 ),
    inference(avatar_contradiction_clause,[],[f1484]) ).

fof(f1486,plain,
    ( e10 = e12
    | ~ spl0_11
    | ~ spl0_26 ),
    inference(forward_demodulation,[],[f479,f283]) ).

fof(f1496,plain,
    ( e14 = op1(e11,e13)
    | ~ spl0_40
    | ~ spl0_42
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1477,f341]) ).

fof(f1499,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_26 ),
    inference(forward_subsumption_resolution,[],[f1486,f18]) ).

fof(f1500,plain,
    ( ~ spl0_11
    | ~ spl0_26 ),
    inference(avatar_contradiction_clause,[],[f1499]) ).

fof(f1511,plain,
    ( e10 = e14
    | ~ spl0_40
    | ~ spl0_42
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1496,f71]) ).

fof(f1519,plain,
    ( $false
    | ~ spl0_40
    | ~ spl0_42
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[],[f1511,f16]) ).

fof(f1520,plain,
    ( ~ spl0_40
    | ~ spl0_42
    | ~ spl0_49 ),
    inference(avatar_contradiction_clause,[],[f1519]) ).

fof(f1527,plain,
    ( op1(e12,e13) = j(op2(e23,e24))
    | ~ spl0_43
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1473,f354]) ).

fof(f1535,plain,
    ( op1(e12,e13) = j(e22)
    | ~ spl0_43
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1527,f85]) ).

fof(f1538,plain,
    ( e14 = op1(e12,e13)
    | ~ spl0_40
    | ~ spl0_43
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1535,f341]) ).

fof(f1541,plain,
    ( e11 = e14
    | ~ spl0_40
    | ~ spl0_43
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1538,f66]) ).

fof(f1544,plain,
    ( $false
    | ~ spl0_40
    | ~ spl0_43
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[],[f1541,f13]) ).

fof(f1545,plain,
    ( ~ spl0_40
    | ~ spl0_43
    | ~ spl0_49 ),
    inference(avatar_contradiction_clause,[],[f1544]) ).

fof(f1546,plain,
    ( spl0_37
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f541,f205,f327]) ).

fof(f1554,plain,
    ( op1(e13,e14) = j(op2(e24,e21))
    | ~ spl0_35
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1456,f320]) ).

fof(f1560,plain,
    ( op1(e13,e14) = j(e23)
    | ~ spl0_35
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1554,f83]) ).

fof(f1566,plain,
    ( e12 = op1(e13,e14)
    | ~ spl0_35
    | ~ spl0_43
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1560,f354]) ).

fof(f1567,plain,
    ( e11 = e12
    | ~ spl0_35
    | ~ spl0_43
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1566,f60]) ).

fof(f1568,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_43
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[],[f1567,f15]) ).

fof(f1569,plain,
    ( ~ spl0_35
    | ~ spl0_43
    | ~ spl0_49 ),
    inference(avatar_contradiction_clause,[],[f1568]) ).

fof(f1580,plain,
    ( op1(e13,e12) = j(op2(e24,e21))
    | ~ spl0_33
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1456,f312]) ).

fof(f1587,plain,
    ( op1(e13,e12) = j(e23)
    | ~ spl0_33
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1580,f83]) ).

fof(f1591,plain,
    ( e14 = op1(e13,e12)
    | ~ spl0_33
    | ~ spl0_45
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1587,f362]) ).

fof(f1592,plain,
    ( e10 = e14
    | ~ spl0_33
    | ~ spl0_45
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1591,f62]) ).

fof(f1593,plain,
    ( $false
    | ~ spl0_33
    | ~ spl0_45
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[],[f1592,f16]) ).

fof(f1594,plain,
    ( ~ spl0_33
    | ~ spl0_45
    | ~ spl0_49 ),
    inference(avatar_contradiction_clause,[],[f1593]) ).

fof(f1602,plain,
    ( e13 = op1(e13,e12)
    | ~ spl0_33
    | ~ spl0_44
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1587,f358]) ).

fof(f1611,plain,
    ( e10 = e13
    | ~ spl0_33
    | ~ spl0_44
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1602,f62]) ).

fof(f1614,plain,
    ( $false
    | ~ spl0_33
    | ~ spl0_44
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[],[f1611,f17]) ).

fof(f1615,plain,
    ( ~ spl0_33
    | ~ spl0_44
    | ~ spl0_49 ),
    inference(avatar_contradiction_clause,[],[f1614]) ).

fof(f1628,plain,
    ( op1(e13,e11) = j(op2(e24,e21))
    | ~ spl0_32
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1456,f308]) ).

fof(f1630,plain,
    ( op1(e13,e12) = j(op2(e24,e20))
    | ~ spl0_28
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1464,f291]) ).

fof(f1641,plain,
    ( op1(e13,e11) = j(e23)
    | ~ spl0_32
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1628,f83]) ).

fof(f1642,plain,
    ( op1(e13,e12) = j(e24)
    | ~ spl0_28
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1630,f84]) ).

fof(f1646,plain,
    ( e14 = op1(e13,e11)
    | ~ spl0_32
    | ~ spl0_45
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1641,f362]) ).

fof(f1647,plain,
    ( e13 = op1(e13,e12)
    | ~ spl0_28
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1642,f379]) ).

fof(f1648,plain,
    ( e12 = e14
    | ~ spl0_32
    | ~ spl0_45
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1646,f63]) ).

fof(f1649,plain,
    ( e10 = e13
    | ~ spl0_28
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1647,f62]) ).

fof(f1650,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_45
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[],[f1648,f11]) ).

fof(f1651,plain,
    ( ~ spl0_32
    | ~ spl0_45
    | ~ spl0_49 ),
    inference(avatar_contradiction_clause,[],[f1650]) ).

fof(f1652,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[],[f1649,f17]) ).

fof(f1653,plain,
    ( ~ spl0_28
    | ~ spl0_49 ),
    inference(avatar_contradiction_clause,[],[f1652]) ).

fof(f1660,plain,
    ( op1(e13,e14) = j(op2(e24,e20))
    | ~ spl0_30
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1464,f299]) ).

fof(f1667,plain,
    ( op1(e13,e14) = j(e24)
    | ~ spl0_30
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1660,f84]) ).

fof(f1671,plain,
    ( e13 = op1(e13,e14)
    | ~ spl0_30
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1667,f379]) ).

fof(f1674,plain,
    ( e11 = e13
    | ~ spl0_30
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1671,f60]) ).

fof(f1675,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[],[f1674,f14]) ).

fof(f1676,plain,
    ( ~ spl0_30
    | ~ spl0_49 ),
    inference(avatar_contradiction_clause,[],[f1675]) ).

fof(f1682,plain,
    ( e13 = e14
    | ~ spl0_25
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1386,f379]) ).

fof(f1690,plain,
    ( op1(e13,e11) = j(op2(e24,e20))
    | ~ spl0_27
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1464,f287]) ).

fof(f1704,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[],[f1682,f10]) ).

fof(f1705,plain,
    ( ~ spl0_25
    | ~ spl0_49 ),
    inference(avatar_contradiction_clause,[],[f1704]) ).

fof(f1709,plain,
    ( op1(e13,e11) = j(e24)
    | ~ spl0_27
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1690,f84]) ).

fof(f1711,plain,
    ( e13 = op1(e13,e11)
    | ~ spl0_27
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1709,f379]) ).

fof(f1713,plain,
    ( e12 = e13
    | ~ spl0_27
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1711,f63]) ).

fof(f1716,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[],[f1713,f12]) ).

fof(f1717,plain,
    ( ~ spl0_27
    | ~ spl0_49 ),
    inference(avatar_contradiction_clause,[],[f1716]) ).

fof(f1721,plain,
    ( $false
    | spl0_1
    | ~ spl0_26 ),
    inference(forward_subsumption_resolution,[],[f1390,f177]) ).

fof(f1722,plain,
    ( spl0_1
    | ~ spl0_26 ),
    inference(avatar_contradiction_clause,[],[f1721]) ).

fof(f1763,plain,
    ( op1(e13,e14) = j(op2(e24,e21))
    | ~ spl0_35
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1456,f320]) ).

fof(f1770,plain,
    ( op1(e13,e14) = j(e23)
    | ~ spl0_35
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1763,f83]) ).

fof(f1773,plain,
    ( e13 = op1(e13,e14)
    | ~ spl0_35
    | ~ spl0_44
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1770,f358]) ).

fof(f1774,plain,
    ( e11 = e13
    | ~ spl0_35
    | ~ spl0_44
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1773,f60]) ).

fof(f1775,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_44
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[],[f1774,f14]) ).

fof(f1776,plain,
    ( ~ spl0_35
    | ~ spl0_44
    | ~ spl0_49 ),
    inference(avatar_contradiction_clause,[],[f1775]) ).

fof(f1781,plain,
    ( e13 = e14
    | ~ spl0_39
    | ~ spl0_40 ),
    inference(forward_demodulation,[],[f341,f337]) ).

fof(f1794,plain,
    ( $false
    | ~ spl0_39
    | ~ spl0_40 ),
    inference(forward_subsumption_resolution,[],[f1781,f10]) ).

fof(f1795,plain,
    ( ~ spl0_39
    | ~ spl0_40 ),
    inference(avatar_contradiction_clause,[],[f1794]) ).

fof(f1799,plain,
    ( e12 = e14
    | ~ spl0_28
    | ~ spl0_30 ),
    inference(forward_demodulation,[],[f299,f291]) ).

fof(f1816,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_30 ),
    inference(forward_subsumption_resolution,[],[f1799,f11]) ).

fof(f1817,plain,
    ( ~ spl0_28
    | ~ spl0_30 ),
    inference(avatar_contradiction_clause,[],[f1816]) ).

fof(f1852,plain,
    ( j(op2(e24,e22)) = op1(j(e24),e10)
    | ~ spl0_36 ),
    inference(superposition,[],[f127,f325]) ).

fof(f1854,plain,
    ( op1(e12,e10) = j(op2(e24,e22))
    | ~ spl0_36
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f1852,f375]) ).

fof(f1855,plain,
    ( op1(e12,e10) = j(e20)
    | ~ spl0_36
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f1854,f82]) ).

fof(f1856,plain,
    ( e14 = op1(e12,e10)
    | ~ spl0_30
    | ~ spl0_36
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f1855,f299]) ).

fof(f1857,plain,
    ( e12 = e14
    | ~ spl0_30
    | ~ spl0_36
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f1856,f69]) ).

fof(f1858,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_36
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[],[f1857,f11]) ).

fof(f1859,plain,
    ( ~ spl0_30
    | ~ spl0_36
    | ~ spl0_48 ),
    inference(avatar_contradiction_clause,[],[f1858]) ).

fof(f1883,plain,
    ( j(op2(e24,e22)) = op1(j(e24),e13)
    | ~ spl0_39 ),
    inference(superposition,[],[f127,f337]) ).

fof(f1885,plain,
    ( op1(e12,e13) = j(op2(e24,e22))
    | ~ spl0_39
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f1883,f375]) ).

fof(f1886,plain,
    ( op1(e12,e13) = j(e20)
    | ~ spl0_39
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f1885,f82]) ).

fof(f1887,plain,
    ( e14 = op1(e12,e13)
    | ~ spl0_30
    | ~ spl0_39
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f1886,f299]) ).

fof(f1888,plain,
    ( e11 = e14
    | ~ spl0_30
    | ~ spl0_39
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f1887,f66]) ).

fof(f1889,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_39
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[],[f1888,f13]) ).

fof(f1890,plain,
    ( ~ spl0_30
    | ~ spl0_39
    | ~ spl0_48 ),
    inference(avatar_contradiction_clause,[],[f1889]) ).

fof(f1898,plain,
    ( $false
    | spl0_6
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[],[f1232,f198]) ).

fof(f1899,plain,
    ( spl0_6
    | ~ spl0_27 ),
    inference(avatar_contradiction_clause,[],[f1898]) ).

fof(f1919,plain,
    ( j(e20) = op1(j(e24),e13)
    | ~ spl0_39 ),
    inference(forward_demodulation,[],[f1883,f82]) ).

fof(f1925,plain,
    ( op1(e14,e13) = j(e20)
    | ~ spl0_39
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1919,f383]) ).

fof(f1944,plain,
    ( j(op2(e24,e20)) = op1(j(e24),e12)
    | ~ spl0_28 ),
    inference(superposition,[],[f129,f291]) ).

fof(f1947,plain,
    ( op1(e14,e12) = j(op2(e24,e20))
    | ~ spl0_28
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1944,f383]) ).

fof(f1948,plain,
    ( op1(e14,e12) = j(e24)
    | ~ spl0_28
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1947,f84]) ).

fof(f1949,plain,
    ( e14 = op1(e14,e12)
    | ~ spl0_28
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1948,f383]) ).

fof(f1950,plain,
    ( e11 = e14
    | ~ spl0_28
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1949,f57]) ).

fof(f1951,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_50 ),
    inference(forward_subsumption_resolution,[],[f1950,f13]) ).

fof(f1952,plain,
    ( ~ spl0_28
    | ~ spl0_50 ),
    inference(avatar_contradiction_clause,[],[f1951]) ).

fof(f1970,plain,
    ( j(op2(e24,e20)) = op1(j(e24),e11)
    | ~ spl0_27 ),
    inference(superposition,[],[f129,f287]) ).

fof(f1973,plain,
    ( op1(e14,e11) = j(op2(e24,e20))
    | ~ spl0_27
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1970,f383]) ).

fof(f1974,plain,
    ( op1(e14,e11) = j(e24)
    | ~ spl0_27
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1973,f84]) ).

fof(f1975,plain,
    ( e14 = op1(e14,e11)
    | ~ spl0_27
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1974,f383]) ).

fof(f1976,plain,
    ( e13 = e14
    | ~ spl0_27
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1975,f58]) ).

fof(f1977,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_50 ),
    inference(forward_subsumption_resolution,[],[f1976,f10]) ).

fof(f1978,plain,
    ( ~ spl0_27
    | ~ spl0_50 ),
    inference(avatar_contradiction_clause,[],[f1977]) ).

fof(f1982,plain,
    ( e14 = op1(e14,e13)
    | ~ spl0_30
    | ~ spl0_39
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1925,f299]) ).

fof(f1986,plain,
    ( e12 = e14
    | ~ spl0_30
    | ~ spl0_39
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1982,f56]) ).

fof(f1987,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_39
    | ~ spl0_50 ),
    inference(forward_subsumption_resolution,[],[f1986,f11]) ).

fof(f1988,plain,
    ( ~ spl0_30
    | ~ spl0_39
    | ~ spl0_50 ),
    inference(avatar_contradiction_clause,[],[f1987]) ).

fof(f2002,plain,
    ( j(op2(e24,e20)) = op1(j(e24),e13)
    | ~ spl0_29 ),
    inference(superposition,[],[f129,f295]) ).

fof(f2004,plain,
    ( op1(e14,e13) = j(op2(e24,e20))
    | ~ spl0_29
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f2002,f383]) ).

fof(f2005,plain,
    ( op1(e14,e13) = j(e24)
    | ~ spl0_29
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f2004,f84]) ).

fof(f2006,plain,
    ( e14 = op1(e14,e13)
    | ~ spl0_29
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f2005,f383]) ).

fof(f2007,plain,
    ( e12 = e14
    | ~ spl0_29
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f2006,f56]) ).

fof(f2008,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_50 ),
    inference(forward_subsumption_resolution,[],[f2007,f11]) ).

fof(f2009,plain,
    ( ~ spl0_29
    | ~ spl0_50 ),
    inference(avatar_contradiction_clause,[],[f2008]) ).

fof(f2011,plain,
    ( e12 = e13
    | ~ spl0_19
    | ~ spl0_43 ),
    inference(forward_demodulation,[],[f1225,f354]) ).

fof(f2018,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_43 ),
    inference(forward_subsumption_resolution,[],[f2011,f12]) ).

fof(f2019,plain,
    ( ~ spl0_19
    | ~ spl0_43 ),
    inference(avatar_contradiction_clause,[],[f2018]) ).

fof(f2059,plain,
    ( j(op2(e24,e21)) = op1(j(e24),e13)
    | ~ spl0_34 ),
    inference(superposition,[],[f128,f316]) ).

fof(f2061,plain,
    ( op1(e11,e13) = j(op2(e24,e21))
    | ~ spl0_34
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2059,f371]) ).

fof(f2062,plain,
    ( op1(e11,e13) = j(e23)
    | ~ spl0_34
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2061,f83]) ).

fof(f2063,plain,
    ( e12 = op1(e11,e13)
    | ~ spl0_34
    | ~ spl0_43
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2062,f354]) ).

fof(f2064,plain,
    ( e10 = e12
    | ~ spl0_34
    | ~ spl0_43
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2063,f71]) ).

fof(f2065,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_43
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f2064,f18]) ).

fof(f2066,plain,
    ( ~ spl0_34
    | ~ spl0_43
    | ~ spl0_47 ),
    inference(avatar_contradiction_clause,[],[f2065]) ).

fof(f2083,plain,
    ( j(op2(e24,e21)) = op1(j(e24),e10)
    | ~ spl0_31 ),
    inference(superposition,[],[f128,f304]) ).

fof(f2085,plain,
    ( op1(e11,e10) = j(op2(e24,e21))
    | ~ spl0_31
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2083,f371]) ).

fof(f2086,plain,
    ( op1(e11,e10) = j(e23)
    | ~ spl0_31
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2085,f83]) ).

fof(f2087,plain,
    ( e12 = op1(e11,e10)
    | ~ spl0_31
    | ~ spl0_43
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2086,f354]) ).

fof(f2088,plain,
    ( e11 = e12
    | ~ spl0_31
    | ~ spl0_43
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2087,f74]) ).

fof(f2089,plain,
    ( $false
    | ~ spl0_31
    | ~ spl0_43
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f2088,f15]) ).

fof(f2090,plain,
    ( ~ spl0_31
    | ~ spl0_43
    | ~ spl0_47 ),
    inference(avatar_contradiction_clause,[],[f2089]) ).

fof(f2121,plain,
    ( j(op2(e24,e22)) = op1(j(e24),e13)
    | ~ spl0_39 ),
    inference(superposition,[],[f127,f337]) ).

fof(f2123,plain,
    ( op1(e11,e13) = j(op2(e24,e22))
    | ~ spl0_39
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2121,f371]) ).

fof(f2124,plain,
    ( op1(e11,e13) = j(e20)
    | ~ spl0_39
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2123,f82]) ).

fof(f2128,plain,
    ( j(op2(e23,e24)) = op1(e12,j(e24))
    | ~ spl0_43 ),
    inference(superposition,[],[f130,f354]) ).

fof(f2131,plain,
    ( op1(e12,e11) = j(op2(e23,e24))
    | ~ spl0_43
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2128,f371]) ).

fof(f2133,plain,
    ( op1(e12,e11) = j(e22)
    | ~ spl0_43
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2131,f85]) ).

fof(f2135,plain,
    ( e13 = op1(e12,e11)
    | ~ spl0_39
    | ~ spl0_43
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2133,f337]) ).

fof(f2137,plain,
    ( e10 = e13
    | ~ spl0_39
    | ~ spl0_43
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2135,f68]) ).

fof(f2138,plain,
    ( $false
    | ~ spl0_39
    | ~ spl0_43
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f2137,f17]) ).

fof(f2139,plain,
    ( ~ spl0_39
    | ~ spl0_43
    | ~ spl0_47 ),
    inference(avatar_contradiction_clause,[],[f2138]) ).

fof(f2146,plain,
    ( e12 = op1(e11,e13)
    | ~ spl0_28
    | ~ spl0_39
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2124,f291]) ).

fof(f2157,plain,
    ( e10 = e12
    | ~ spl0_28
    | ~ spl0_39
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2146,f71]) ).

fof(f2158,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_39
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f2157,f18]) ).

fof(f2159,plain,
    ( ~ spl0_28
    | ~ spl0_39
    | ~ spl0_47 ),
    inference(avatar_contradiction_clause,[],[f2158]) ).

fof(f2189,plain,
    ( j(op2(e24,e21)) = op1(j(e24),e12)
    | ~ spl0_33 ),
    inference(superposition,[],[f128,f312]) ).

fof(f2191,plain,
    ( op1(e11,e12) = j(op2(e24,e21))
    | ~ spl0_33
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2189,f371]) ).

fof(f2192,plain,
    ( op1(e11,e12) = j(e23)
    | ~ spl0_33
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2191,f83]) ).

fof(f2193,plain,
    ( e14 = op1(e11,e12)
    | ~ spl0_33
    | ~ spl0_45
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2192,f362]) ).

fof(f2194,plain,
    ( e13 = e14
    | ~ spl0_33
    | ~ spl0_45
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2193,f72]) ).

fof(f2195,plain,
    ( $false
    | ~ spl0_33
    | ~ spl0_45
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f2194,f10]) ).

fof(f2196,plain,
    ( ~ spl0_33
    | ~ spl0_45
    | ~ spl0_47 ),
    inference(avatar_contradiction_clause,[],[f2195]) ).

fof(f2202,plain,
    ( e14 = op1(e11,e13)
    | ~ spl0_30
    | ~ spl0_39
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2124,f299]) ).

fof(f2208,plain,
    ( e10 = e14
    | ~ spl0_30
    | ~ spl0_39
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2202,f71]) ).

fof(f2209,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_39
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f2208,f16]) ).

fof(f2210,plain,
    ( ~ spl0_30
    | ~ spl0_39
    | ~ spl0_47 ),
    inference(avatar_contradiction_clause,[],[f2209]) ).

fof(f2242,plain,
    ( j(op2(e24,e22)) = op1(j(e24),e10)
    | ~ spl0_36 ),
    inference(superposition,[],[f127,f325]) ).

fof(f2244,plain,
    ( op1(e11,e10) = j(op2(e24,e22))
    | ~ spl0_36
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2242,f371]) ).

fof(f2245,plain,
    ( op1(e11,e10) = j(e20)
    | ~ spl0_36
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2244,f82]) ).

fof(f2246,plain,
    ( e14 = op1(e11,e10)
    | ~ spl0_30
    | ~ spl0_36
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2245,f299]) ).

fof(f2247,plain,
    ( e11 = e14
    | ~ spl0_30
    | ~ spl0_36
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2246,f74]) ).

fof(f2248,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_36
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f2247,f13]) ).

fof(f2249,plain,
    ( ~ spl0_30
    | ~ spl0_36
    | ~ spl0_47 ),
    inference(avatar_contradiction_clause,[],[f2248]) ).

fof(f2279,plain,
    ( j(op2(e24,e23)) = op1(j(e24),e13)
    | ~ spl0_44 ),
    inference(superposition,[],[f126,f358]) ).

fof(f2285,plain,
    ( op1(e11,e13) = j(op2(e24,e23))
    | ~ spl0_44
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2279,f371]) ).

fof(f2287,plain,
    ( op1(e11,e13) = j(e22)
    | ~ spl0_44
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2285,f81]) ).

fof(f2289,plain,
    ( e14 = op1(e11,e13)
    | ~ spl0_40
    | ~ spl0_44
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2287,f341]) ).

fof(f2291,plain,
    ( e10 = e14
    | ~ spl0_40
    | ~ spl0_44
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2289,f71]) ).

fof(f2294,plain,
    ( $false
    | ~ spl0_40
    | ~ spl0_44
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f2291,f16]) ).

fof(f2295,plain,
    ( ~ spl0_40
    | ~ spl0_44
    | ~ spl0_47 ),
    inference(avatar_contradiction_clause,[],[f2294]) ).

fof(f2332,plain,
    ( j(op2(e24,e21)) = op1(j(e24),e13)
    | ~ spl0_34 ),
    inference(superposition,[],[f128,f316]) ).

fof(f2334,plain,
    ( op1(e11,e13) = j(op2(e24,e21))
    | ~ spl0_34
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2332,f371]) ).

fof(f2335,plain,
    ( op1(e11,e13) = j(e23)
    | ~ spl0_34
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2334,f83]) ).

fof(f2336,plain,
    ( e14 = op1(e11,e13)
    | ~ spl0_34
    | ~ spl0_45
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2335,f362]) ).

fof(f2337,plain,
    ( e10 = e14
    | ~ spl0_34
    | ~ spl0_45
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2336,f71]) ).

fof(f2338,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_45
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f2337,f16]) ).

fof(f2339,plain,
    ( ~ spl0_34
    | ~ spl0_45
    | ~ spl0_47 ),
    inference(avatar_contradiction_clause,[],[f2338]) ).

fof(f2365,plain,
    ( j(op2(e24,e20)) = op1(j(e24),e13)
    | ~ spl0_29 ),
    inference(superposition,[],[f129,f295]) ).

fof(f2367,plain,
    ( op1(e11,e13) = j(op2(e24,e20))
    | ~ spl0_29
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2365,f371]) ).

fof(f2368,plain,
    ( op1(e11,e13) = j(e24)
    | ~ spl0_29
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2367,f84]) ).

fof(f2369,plain,
    ( e11 = op1(e11,e13)
    | ~ spl0_29
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2368,f371]) ).

fof(f2370,plain,
    ( e10 = e11
    | ~ spl0_29
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2369,f71]) ).

fof(f2371,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f2370,f19]) ).

fof(f2372,plain,
    ( ~ spl0_29
    | ~ spl0_47 ),
    inference(avatar_contradiction_clause,[],[f2371]) ).

fof(f2376,plain,
    ( e13 = e14
    | ~ spl0_34
    | ~ spl0_35 ),
    inference(forward_demodulation,[],[f320,f316]) ).

fof(f2386,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_35 ),
    inference(forward_subsumption_resolution,[],[f2376,f10]) ).

fof(f2387,plain,
    ( ~ spl0_34
    | ~ spl0_35 ),
    inference(avatar_contradiction_clause,[],[f2386]) ).

fof(f2392,plain,
    ( e13 = e14
    | ~ spl0_44
    | ~ spl0_45 ),
    inference(forward_demodulation,[],[f362,f358]) ).

fof(f2395,plain,
    ( $false
    | ~ spl0_44
    | ~ spl0_45 ),
    inference(forward_subsumption_resolution,[],[f2392,f10]) ).

fof(f2396,plain,
    ( ~ spl0_44
    | ~ spl0_45 ),
    inference(avatar_contradiction_clause,[],[f2395]) ).

fof(f2419,plain,
    ( j(op2(e24,e21)) = op1(j(e24),e14)
    | ~ spl0_35 ),
    inference(superposition,[],[f128,f320]) ).

fof(f2421,plain,
    ( op1(e11,e14) = j(op2(e24,e21))
    | ~ spl0_35
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2419,f371]) ).

fof(f2422,plain,
    ( op1(e11,e14) = j(e23)
    | ~ spl0_35
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2421,f83]) ).

fof(f2423,plain,
    ( e13 = op1(e11,e14)
    | ~ spl0_35
    | ~ spl0_44
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2422,f358]) ).

fof(f2424,plain,
    ( e12 = e13
    | ~ spl0_35
    | ~ spl0_44
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2423,f70]) ).

fof(f2425,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_44
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f2424,f12]) ).

fof(f2426,plain,
    ( ~ spl0_35
    | ~ spl0_44
    | ~ spl0_47 ),
    inference(avatar_contradiction_clause,[],[f2425]) ).

fof(f2450,plain,
    ( j(op2(e24,e21)) = op1(j(e24),e10)
    | ~ spl0_31 ),
    inference(superposition,[],[f128,f304]) ).

fof(f2451,plain,
    ( e21 = h(e10)
    | ~ spl0_31 ),
    inference(superposition,[],[f123,f304]) ).

fof(f2452,plain,
    ( op1(e11,e10) = j(op2(e24,e21))
    | ~ spl0_31
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2450,f371]) ).

fof(f2453,plain,
    ( op1(e11,e10) = j(e23)
    | ~ spl0_31
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2452,f83]) ).

fof(f2454,plain,
    ( e13 = op1(e11,e10)
    | ~ spl0_31
    | ~ spl0_44
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2453,f358]) ).

fof(f2455,plain,
    ( e11 = e13
    | ~ spl0_31
    | ~ spl0_44
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2454,f74]) ).

fof(f2456,plain,
    ( $false
    | ~ spl0_31
    | ~ spl0_44
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f2455,f14]) ).

fof(f2457,plain,
    ( ~ spl0_31
    | ~ spl0_44
    | ~ spl0_47 ),
    inference(avatar_contradiction_clause,[],[f2456]) ).

fof(f2514,plain,
    ( j(op2(e24,e23)) = op1(j(e24),e11)
    | ~ spl0_42 ),
    inference(superposition,[],[f126,f350]) ).

fof(f2519,plain,
    ( op1(e12,e11) = j(op2(e24,e23))
    | ~ spl0_42
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2514,f375]) ).

fof(f2521,plain,
    ( op1(e12,e11) = j(e22)
    | ~ spl0_42
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2519,f81]) ).

fof(f2523,plain,
    ( e14 = op1(e12,e11)
    | ~ spl0_40
    | ~ spl0_42
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2521,f341]) ).

fof(f2525,plain,
    ( e10 = e14
    | ~ spl0_40
    | ~ spl0_42
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2523,f68]) ).

fof(f2528,plain,
    ( $false
    | ~ spl0_40
    | ~ spl0_42
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[],[f2525,f16]) ).

fof(f2529,plain,
    ( ~ spl0_40
    | ~ spl0_42
    | ~ spl0_48 ),
    inference(avatar_contradiction_clause,[],[f2528]) ).

fof(f2539,plain,
    ( e20 = e24
    | ~ spl0_11
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f603,f220]) ).

fof(f2549,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[],[f2539,f26]) ).

fof(f2550,plain,
    ( ~ spl0_11
    | ~ spl0_48 ),
    inference(avatar_contradiction_clause,[],[f2549]) ).

fof(f2584,plain,
    ( j(op2(e24,e21)) = op1(j(e24),e11)
    | ~ spl0_32 ),
    inference(superposition,[],[f128,f308]) ).

fof(f2586,plain,
    ( op1(e12,e11) = j(op2(e24,e21))
    | ~ spl0_32
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2584,f375]) ).

fof(f2587,plain,
    ( op1(e12,e11) = j(e23)
    | ~ spl0_32
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2586,f83]) ).

fof(f2588,plain,
    ( e13 = op1(e12,e11)
    | ~ spl0_32
    | ~ spl0_44
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2587,f358]) ).

fof(f2589,plain,
    ( e10 = e13
    | ~ spl0_32
    | ~ spl0_44
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2588,f68]) ).

fof(f2590,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_44
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[],[f2589,f17]) ).

fof(f2591,plain,
    ( ~ spl0_32
    | ~ spl0_44
    | ~ spl0_48 ),
    inference(avatar_contradiction_clause,[],[f2590]) ).

fof(f2610,plain,
    ( j(op2(e24,e20)) = op1(j(e24),e11)
    | ~ spl0_27 ),
    inference(superposition,[],[f129,f287]) ).

fof(f2612,plain,
    ( op1(e12,e11) = j(op2(e24,e20))
    | ~ spl0_27
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2610,f375]) ).

fof(f2613,plain,
    ( op1(e12,e11) = j(e24)
    | ~ spl0_27
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2612,f84]) ).

fof(f2614,plain,
    ( e12 = op1(e12,e11)
    | ~ spl0_27
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2613,f375]) ).

fof(f2615,plain,
    ( e10 = e12
    | ~ spl0_27
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2614,f68]) ).

fof(f2616,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[],[f2615,f18]) ).

fof(f2617,plain,
    ( ~ spl0_27
    | ~ spl0_48 ),
    inference(avatar_contradiction_clause,[],[f2616]) ).

fof(f2655,plain,
    ( j(op2(e24,e22)) = op1(j(e24),e11)
    | ~ spl0_37 ),
    inference(superposition,[],[f127,f329]) ).

fof(f2657,plain,
    ( op1(e12,e11) = j(op2(e24,e22))
    | ~ spl0_37
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2655,f375]) ).

fof(f2658,plain,
    ( op1(e12,e11) = j(e20)
    | ~ spl0_37
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2657,f82]) ).

fof(f2662,plain,
    ( j(op2(e23,e24)) = op1(e13,j(e24))
    | ~ spl0_44 ),
    inference(superposition,[],[f130,f358]) ).

fof(f2666,plain,
    ( op1(e13,e12) = j(op2(e23,e24))
    | ~ spl0_44
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2662,f375]) ).

fof(f2668,plain,
    ( op1(e13,e12) = j(e22)
    | ~ spl0_44
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2666,f85]) ).

fof(f2670,plain,
    ( e11 = op1(e13,e12)
    | ~ spl0_37
    | ~ spl0_44
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2668,f329]) ).

fof(f2672,plain,
    ( e10 = e11
    | ~ spl0_37
    | ~ spl0_44
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2670,f62]) ).

fof(f2673,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_44
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[],[f2672,f19]) ).

fof(f2674,plain,
    ( ~ spl0_37
    | ~ spl0_44
    | ~ spl0_48 ),
    inference(avatar_contradiction_clause,[],[f2673]) ).

fof(f2689,plain,
    ( j(op2(e24,e21)) = op1(j(e24),e13)
    | ~ spl0_34 ),
    inference(superposition,[],[f128,f316]) ).

fof(f2691,plain,
    ( op1(e12,e13) = j(op2(e24,e21))
    | ~ spl0_34
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2689,f375]) ).

fof(f2692,plain,
    ( op1(e12,e13) = j(e23)
    | ~ spl0_34
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2691,f83]) ).

fof(f2693,plain,
    ( e14 = op1(e12,e13)
    | ~ spl0_34
    | ~ spl0_45
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2692,f362]) ).

fof(f2694,plain,
    ( e11 = e14
    | ~ spl0_34
    | ~ spl0_45
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2693,f66]) ).

fof(f2695,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_45
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[],[f2694,f13]) ).

fof(f2696,plain,
    ( ~ spl0_34
    | ~ spl0_45
    | ~ spl0_48 ),
    inference(avatar_contradiction_clause,[],[f2695]) ).

fof(f2703,plain,
    ( e14 = op1(e12,e11)
    | ~ spl0_30
    | ~ spl0_37
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2658,f299]) ).

fof(f2709,plain,
    ( e10 = e14
    | ~ spl0_30
    | ~ spl0_37
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2703,f68]) ).

fof(f2710,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_37
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[],[f2709,f16]) ).

fof(f2711,plain,
    ( ~ spl0_30
    | ~ spl0_37
    | ~ spl0_48 ),
    inference(avatar_contradiction_clause,[],[f2710]) ).

fof(f2746,plain,
    ( j(op2(e24,e21)) = op1(j(e24),e11)
    | ~ spl0_32 ),
    inference(superposition,[],[f128,f308]) ).

fof(f2748,plain,
    ( op1(e12,e11) = j(op2(e24,e21))
    | ~ spl0_32
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2746,f375]) ).

fof(f2749,plain,
    ( op1(e12,e11) = j(e23)
    | ~ spl0_32
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2748,f83]) ).

fof(f2750,plain,
    ( e14 = op1(e12,e11)
    | ~ spl0_32
    | ~ spl0_45
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2749,f362]) ).

fof(f2751,plain,
    ( e10 = e14
    | ~ spl0_32
    | ~ spl0_45
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2750,f68]) ).

fof(f2752,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_45
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[],[f2751,f16]) ).

fof(f2753,plain,
    ( ~ spl0_32
    | ~ spl0_45
    | ~ spl0_48 ),
    inference(avatar_contradiction_clause,[],[f2752]) ).

fof(f2771,plain,
    ( e21 = e24
    | ~ spl0_12
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f603,f224]) ).

fof(f2773,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[],[f2771,f23]) ).

fof(f2774,plain,
    ( ~ spl0_12
    | ~ spl0_48 ),
    inference(avatar_contradiction_clause,[],[f2773]) ).

fof(f2779,plain,
    ( e20 = e21
    | ~ spl0_1
    | ~ spl0_31 ),
    inference(forward_demodulation,[],[f2451,f178]) ).

fof(f2792,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[],[f2779,f29]) ).

fof(f2793,plain,
    ( ~ spl0_1
    | ~ spl0_31 ),
    inference(avatar_contradiction_clause,[],[f2792]) ).

fof(f2801,plain,
    ( e21 = e23
    | ~ spl0_22
    | ~ spl0_24 ),
    inference(superposition,[],[f266,f274]) ).

fof(f2807,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[],[f2801,f24]) ).

fof(f2808,plain,
    ( ~ spl0_22
    | ~ spl0_24 ),
    inference(avatar_contradiction_clause,[],[f2807]) ).

fof(f2834,plain,
    ( j(op2(e24,e23)) = op1(j(e24),e11)
    | ~ spl0_42 ),
    inference(superposition,[],[f126,f350]) ).

fof(f2839,plain,
    ( op1(e12,e11) = j(op2(e24,e23))
    | ~ spl0_42
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2834,f375]) ).

fof(f2841,plain,
    ( op1(e12,e11) = j(e22)
    | ~ spl0_42
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2839,f81]) ).

fof(f2843,plain,
    ( e13 = op1(e12,e11)
    | ~ spl0_39
    | ~ spl0_42
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2841,f337]) ).

fof(f2844,plain,
    ( e10 = e13
    | ~ spl0_39
    | ~ spl0_42
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2843,f68]) ).

fof(f2845,plain,
    ( $false
    | ~ spl0_39
    | ~ spl0_42
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[],[f2844,f17]) ).

fof(f2846,plain,
    ( ~ spl0_39
    | ~ spl0_42
    | ~ spl0_48 ),
    inference(avatar_contradiction_clause,[],[f2845]) ).

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

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

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

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

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

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

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

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

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

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

cnf(s20,plain,
    ( ~ spl0_18
    | ~ spl0_36 ),
    inference(sat_conversion,[],[f438]) ).

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

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

cnf(s27,plain,
    ( ~ spl0_33
    | ~ spl0_35 ),
    inference(sat_conversion,[],[f472]) ).

cnf(s28,plain,
    ( ~ spl0_11
    | spl0_28 ),
    inference(sat_conversion,[],[f480]) ).

cnf(s29,plain,
    ( ~ spl0_13
    | ~ spl0_36 ),
    inference(sat_conversion,[],[f485]) ).

cnf(s30,plain,
    ( ~ spl0_14
    | ~ spl0_41 ),
    inference(sat_conversion,[],[f491]) ).

cnf(s31,plain,
    ( ~ spl0_6
    | spl0_27 ),
    inference(sat_conversion,[],[f495]) ).

cnf(s36,plain,
    ( ~ spl0_26
    | ~ spl0_29 ),
    inference(sat_conversion,[],[f515]) ).

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

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

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

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

cnf(s46,plain,
    ( ~ spl0_13
    | ~ spl0_37 ),
    inference(sat_conversion,[],[f572]) ).

cnf(s50,plain,
    ( spl0_14
    | ~ spl0_43 ),
    inference(sat_conversion,[],[f582]) ).

cnf(s51,plain,
    ( ~ spl0_15
    | spl0_48 ),
    inference(sat_conversion,[],[f588]) ).

cnf(s53,plain,
    ( spl0_11
    | ~ spl0_28 ),
    inference(sat_conversion,[],[f596]) ).

cnf(s54,plain,
    ( ~ spl0_28
    | ~ spl0_29 ),
    inference(sat_conversion,[],[f598]) ).

cnf(s56,plain,
    ( ~ spl0_48
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f616]) ).

cnf(s57,plain,
    ( ~ spl0_16
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f618]) ).

cnf(s59,plain,
    ( ~ spl0_29
    | ~ spl0_37
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f643]) ).

cnf(s60,plain,
    ( ~ spl0_8
    | spl0_37 ),
    inference(sat_conversion,[],[f645]) ).

cnf(s62,plain,
    ( ~ spl0_40
    | ~ spl0_41
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f655]) ).

cnf(s63,plain,
    ( ~ spl0_10
    | spl0_47 ),
    inference(sat_conversion,[],[f657]) ).

cnf(s64,plain,
    ( spl0_13
    | ~ spl0_38 ),
    inference(sat_conversion,[],[f673]) ).

cnf(s67,plain,
    ( ~ spl0_13
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f689]) ).

cnf(s68,plain,
    ( ~ spl0_38
    | ~ spl0_41
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f700]) ).

cnf(s69,plain,
    ( ~ spl0_13
    | spl0_38 ),
    inference(sat_conversion,[],[f702]) ).

cnf(s71,plain,
    ( ~ spl0_40
    | ~ spl0_41
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f708]) ).

cnf(s74,plain,
    ( ~ spl0_14
    | spl0_43 ),
    inference(sat_conversion,[],[f723]) ).

cnf(s79,plain,
    ( ~ spl0_15
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f755]) ).

cnf(s82,plain,
    ( ~ spl0_9
    | ~ spl0_41 ),
    inference(sat_conversion,[],[f762]) ).

cnf(s84,plain,
    ( ~ spl0_6
    | spl0_27 ),
    inference(sat_conversion,[],[f765]) ).

cnf(s89,plain,
    ( ~ spl0_32
    | ~ spl0_35 ),
    inference(sat_conversion,[],[f797]) ).

cnf(s90,plain,
    ( ~ spl0_3
    | spl0_36 ),
    inference(sat_conversion,[],[f798]) ).

cnf(s92,plain,
    ( ~ spl0_29
    | ~ spl0_36
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f819]) ).

cnf(s93,plain,
    ( ~ spl0_12
    | spl0_33 ),
    inference(sat_conversion,[],[f820]) ).

cnf(s94,plain,
    ( ~ spl0_25
    | spl0_50 ),
    inference(sat_conversion,[],[f822]) ).

cnf(s101,plain,
    ( ~ spl0_42
    | ~ spl0_44 ),
    inference(sat_conversion,[],[f874]) ).

cnf(s102,plain,
    ( ~ spl0_33
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f898]) ).

cnf(s108,plain,
    ( spl0_16
    | ~ spl0_29 ),
    inference(sat_conversion,[],[f926]) ).

cnf(s109,plain,
    ( ~ spl0_17
    | ~ spl0_33 ),
    inference(sat_conversion,[],[f929]) ).

cnf(s110,plain,
    ( ~ spl0_17
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f931]) ).

cnf(s114,plain,
    ( ~ spl0_17
    | ~ spl0_32 ),
    inference(sat_conversion,[],[f944]) ).

cnf(s115,plain,
    ( spl0_24
    | ~ spl0_45 ),
    inference(sat_conversion,[],[f977]) ).

cnf(s118,plain,
    ( ~ spl0_32
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f1006]) ).

cnf(s119,plain,
    ( ~ spl0_2
    | spl0_31 ),
    inference(sat_conversion,[],[f1007]) ).

cnf(s120,plain,
    ( ~ spl0_23
    | spl0_40 ),
    inference(sat_conversion,[],[f1009]) ).

cnf(s121,plain,
    ( ~ spl0_2
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f1019]) ).

cnf(s123,plain,
    ( ~ spl0_18
    | spl0_39 ),
    inference(sat_conversion,[],[f1026]) ).

cnf(s126,plain,
    ( ~ spl0_16
    | ~ spl0_39 ),
    inference(sat_conversion,[],[f1040]) ).

cnf(s129,plain,
    ( ~ spl0_14
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f1055]) ).

cnf(s134,plain,
    ( ~ spl0_25
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f1085]) ).

cnf(s136,plain,
    ( ~ spl0_5
    | spl0_46 ),
    inference(sat_conversion,[],[f1088]) ).

cnf(s137,plain,
    ( ~ spl0_19
    | spl0_44 ),
    inference(sat_conversion,[],[f1097]) ).

cnf(s141,plain,
    ( ~ spl0_7
    | ~ spl0_31 ),
    inference(sat_conversion,[],[f1118]) ).

cnf(s143,plain,
    ( ~ spl0_12
    | ~ spl0_31 ),
    inference(sat_conversion,[],[f1122]) ).

cnf(s148,plain,
    ( ~ spl0_24
    | spl0_45 ),
    inference(sat_conversion,[],[f1133]) ).

cnf(s163,plain,
    ( ~ spl0_13
    | spl0_38 ),
    inference(sat_conversion,[],[f1154]) ).

cnf(s166,plain,
    ( ~ spl0_1
    | spl0_26 ),
    inference(sat_conversion,[],[f1164]) ).

cnf(s167,plain,
    ( ~ spl0_18
    | ~ spl0_38 ),
    inference(sat_conversion,[],[f1179]) ).

cnf(s169,plain,
    ( ~ spl0_1
    | ~ spl0_41 ),
    inference(sat_conversion,[],[f1183]) ).

cnf(s170,plain,
    ( ~ spl0_1
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f1185]) ).

cnf(s171,plain,
    ( ~ spl0_17
    | spl0_34 ),
    inference(sat_conversion,[],[f1189]) ).

cnf(s174,plain,
    ( ~ spl0_6
    | ~ spl0_26 ),
    inference(sat_conversion,[],[f1204]) ).

cnf(s180,plain,
    ( ~ spl0_17
    | ~ spl0_44 ),
    inference(sat_conversion,[],[f1213]) ).

cnf(s181,plain,
    ( spl0_17
    | ~ spl0_34 ),
    inference(sat_conversion,[],[f1240]) ).

cnf(s182,plain,
    ( spl0_2
    | ~ spl0_31 ),
    inference(sat_conversion,[],[f1246]) ).

cnf(s187,plain,
    ( ~ spl0_38
    | ~ spl0_40 ),
    inference(sat_conversion,[],[f1281]) ).

cnf(s188,plain,
    ( ~ spl0_34
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f1310]) ).

cnf(s191,plain,
    ( spl0_12
    | ~ spl0_33 ),
    inference(sat_conversion,[],[f1312]) ).

cnf(s192,plain,
    ( ~ spl0_33
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f1317]) ).

cnf(s195,plain,
    ( ~ spl0_32
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f1329]) ).

cnf(s203,plain,
    ( spl0_22
    | ~ spl0_35 ),
    inference(sat_conversion,[],[f1335]) ).

cnf(s209,plain,
    ( ~ spl0_22
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f1379]) ).

cnf(s210,plain,
    ( ~ spl0_34
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f1417]) ).

cnf(s211,plain,
    ( ~ spl0_20
    | spl0_49 ),
    inference(sat_conversion,[],[f1418]) ).

cnf(s216,plain,
    ( ~ spl0_38
    | ~ spl0_42
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f1485]) ).

cnf(s219,plain,
    ( ~ spl0_11
    | ~ spl0_26 ),
    inference(sat_conversion,[],[f1500]) ).

cnf(s226,plain,
    ( ~ spl0_40
    | ~ spl0_42
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f1520]) ).

cnf(s235,plain,
    ( ~ spl0_40
    | ~ spl0_43
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f1545]) ).

cnf(s236,plain,
    ( ~ spl0_8
    | spl0_37 ),
    inference(sat_conversion,[],[f1546]) ).

cnf(s243,plain,
    ( ~ spl0_35
    | ~ spl0_43
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f1569]) ).

cnf(s248,plain,
    ( ~ spl0_33
    | ~ spl0_45
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f1594]) ).

cnf(s254,plain,
    ( ~ spl0_33
    | ~ spl0_44
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f1615]) ).

cnf(s263,plain,
    ( ~ spl0_32
    | ~ spl0_45
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f1651]) ).

cnf(s264,plain,
    ( ~ spl0_28
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f1653]) ).

cnf(s271,plain,
    ( ~ spl0_30
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f1676]) ).

cnf(s280,plain,
    ( ~ spl0_25
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f1705]) ).

cnf(s283,plain,
    ( ~ spl0_27
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f1717]) ).

cnf(s291,plain,
    ( spl0_1
    | ~ spl0_26 ),
    inference(sat_conversion,[],[f1722]) ).

cnf(s300,plain,
    ( ~ spl0_35
    | ~ spl0_44
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f1776]) ).

cnf(s308,plain,
    ( ~ spl0_39
    | ~ spl0_40 ),
    inference(sat_conversion,[],[f1795]) ).

cnf(s317,plain,
    ( ~ spl0_28
    | ~ spl0_30 ),
    inference(sat_conversion,[],[f1817]) ).

cnf(s320,plain,
    ( ~ spl0_30
    | ~ spl0_36
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f1859]) ).

cnf(s323,plain,
    ( ~ spl0_30
    | ~ spl0_39
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f1890]) ).

cnf(s326,plain,
    ( spl0_6
    | ~ spl0_27 ),
    inference(sat_conversion,[],[f1899]) ).

cnf(s341,plain,
    ( ~ spl0_28
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f1952]) ).

cnf(s348,plain,
    ( ~ spl0_27
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f1978]) ).

cnf(s352,plain,
    ( ~ spl0_30
    | ~ spl0_39
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f1988]) ).

cnf(s356,plain,
    ( ~ spl0_29
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f2009]) ).

cnf(s361,plain,
    ( ~ spl0_19
    | ~ spl0_43 ),
    inference(sat_conversion,[],[f2019]) ).

cnf(s372,plain,
    ( ~ spl0_34
    | ~ spl0_43
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f2066]) ).

cnf(s377,plain,
    ( ~ spl0_31
    | ~ spl0_43
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f2090]) ).

cnf(s384,plain,
    ( ~ spl0_39
    | ~ spl0_43
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f2139]) ).

cnf(s395,plain,
    ( ~ spl0_28
    | ~ spl0_39
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f2159]) ).

cnf(s401,plain,
    ( ~ spl0_33
    | ~ spl0_45
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f2196]) ).

cnf(s409,plain,
    ( ~ spl0_30
    | ~ spl0_39
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f2210]) ).

cnf(s416,plain,
    ( ~ spl0_30
    | ~ spl0_36
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f2249]) ).

cnf(s424,plain,
    ( ~ spl0_40
    | ~ spl0_44
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f2295]) ).

cnf(s440,plain,
    ( ~ spl0_34
    | ~ spl0_45
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f2339]) ).

cnf(s451,plain,
    ( ~ spl0_29
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f2372]) ).

cnf(s472,plain,
    ( ~ spl0_34
    | ~ spl0_35 ),
    inference(sat_conversion,[],[f2387]) ).

cnf(s482,plain,
    ( ~ spl0_44
    | ~ spl0_45 ),
    inference(sat_conversion,[],[f2396]) ).

cnf(s488,plain,
    ( ~ spl0_35
    | ~ spl0_44
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f2426]) ).

cnf(s498,plain,
    ( ~ spl0_31
    | ~ spl0_44
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f2457]) ).

cnf(s522,plain,
    ( ~ spl0_40
    | ~ spl0_42
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f2529]) ).

cnf(s540,plain,
    ( ~ spl0_11
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f2550]) ).

cnf(s551,plain,
    ( ~ spl0_32
    | ~ spl0_44
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f2591]) ).

cnf(s561,plain,
    ( ~ spl0_27
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f2617]) ).

cnf(s580,plain,
    ( ~ spl0_37
    | ~ spl0_44
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f2674]) ).

cnf(s592,plain,
    ( ~ spl0_34
    | ~ spl0_45
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f2696]) ).

cnf(s602,plain,
    ( ~ spl0_30
    | ~ spl0_37
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f2711]) ).

cnf(s624,plain,
    ( ~ spl0_32
    | ~ spl0_45
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f2753]) ).

cnf(s635,plain,
    ( ~ spl0_12
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f2774]) ).

cnf(s646,plain,
    ( ~ spl0_1
    | ~ spl0_31 ),
    inference(sat_conversion,[],[f2793]) ).

cnf(s655,plain,
    ( ~ spl0_22
    | ~ spl0_24 ),
    inference(sat_conversion,[],[f2808]) ).

cnf(s661,plain,
    ( ~ spl0_39
    | ~ spl0_42
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f2846]) ).

cnf(s662,plain,
    ( ~ spl0_46
    | spl0_31 ),
    inference(rat,[],[s7,s44,s188,s192,s195]) ).

cnf(s663,plain,
    ( ~ spl0_47
    | spl0_17
    | spl0_12
    | ~ spl0_41 ),
    inference(rat,[],[s4,s211,s123,s264,s395,s28,s3,s163,s18,s68,s79,s451,s30,s21]) ).

cnf(s664,plain,
    ( ~ spl0_11
    | spl0_47
    | spl0_50
    | spl0_46 ),
    inference(rat,[],[s264,s10,s28,s540]) ).

cnf(s665,plain,
    ( spl0_6
    | spl0_11
    | spl0_10
    | spl0_12
    | spl0_7
    | ~ spl0_41
    | spl0_26 ),
    inference(rat,[],[s6,s59,s602,s51,s3,s46,s236,s2,s326,s82,s30,s53]) ).

cnf(s666,plain,
    ( spl0_34
    | spl0_33
    | spl0_32
    | ~ spl0_41
    | spl0_31
    | spl0_26 ),
    inference(rat,[],[s10,s283,s561,s84,s665,s664,s63,s663,s209,s203,s7,s171,s662,s40,s93]) ).

cnf(s667,plain,
    ( ~ spl0_11
    | ~ spl0_34
    | ~ spl0_41
    | spl0_46 ),
    inference(rat,[],[s5,s120,s16,s71,s317,s664,s28,s14,s26,s472,s94,s210]) ).

cnf(s668,plain,
    ( spl0_47
    | spl0_11
    | spl0_49
    | spl0_50
    | spl0_12
    | spl0_7
    | ~ spl0_41
    | spl0_46
    | spl0_26 ),
    inference(rat,[],[s31,s561,s665,s10,s63]) ).

cnf(s669,plain,
    ( spl0_33
    | spl0_32
    | ~ spl0_41
    | spl0_31
    | spl0_26 ),
    inference(rat,[],[s69,s3,s68,s79,s668,s667,s110,s181,s210,s666,s93,s662,s30,s40]) ).

cnf(s670,plain,
    ( ~ spl0_11
    | ~ spl0_33
    | spl0_19
    | spl0_46 ),
    inference(rat,[],[s4,s18,s211,s123,s54,s264,s395,s664,s28,s109,s102]) ).

cnf(s671,plain,
    ( ~ spl0_49
    | spl0_28
    | spl0_26 ),
    inference(rat,[],[s108,s6,s57,s271,s283]) ).

cnf(s672,plain,
    ( ~ spl0_33
    | ~ spl0_41
    | spl0_46
    | spl0_26 ),
    inference(rat,[],[s409,s16,s123,s5,s4,s120,s18,s71,s451,s10,s211,s671,s53,s670,s26,s94,s635,s27,s102,s109,s191,s21,s14]) ).

cnf(s673,plain,
    ( ~ spl0_41
    | spl0_31
    | spl0_26 ),
    inference(rat,[],[s8,s320,s323,s602,s16,s5,s120,s64,s62,s67,s10,s671,s53,s664,s26,s663,s94,s89,s114,s118,s669,s93,s672,s14,s662]) ).

cnf(s674,plain,
    ( spl0_17
    | spl0_32
    | ~ spl0_11
    | spl0_33
    | spl0_18
    | spl0_31 ),
    inference(rat,[],[s488,s137,s7,s4,s181,s664,s341,s662,s211,s264,s18,s54,s28]) ).

cnf(s675,plain,
    ( ~ spl0_34
    | spl0_21
    | ~ spl0_47
    | spl0_25
    | spl0_23 ),
    inference(rat,[],[s5,s148,s26,s440,s472]) ).

cnf(s676,plain,
    ( ~ spl0_11
    | spl0_33
    | spl0_23
    | spl0_18
    | spl0_31 ),
    inference(rat,[],[s5,s148,s26,s482,s89,s137,s674,s4,s171,s675,s18,s211,s16,s664,s94,s54,s264,s317,s341,s28,s662]) ).

cnf(s677,plain,
    ( ~ spl0_47
    | spl0_20
    | spl0_11
    | spl0_12
    | ~ spl0_36 ),
    inference(rat,[],[s4,s171,s361,s675,s74,s16,s3,s18,s416,s79,s134,s451,s29,s20,s13]) ).

cnf(s678,plain,
    ( ~ spl0_48
    | spl0_28
    | ~ spl0_36
    | spl0_26 ),
    inference(rat,[],[s6,s92,s320,s561]) ).

cnf(s679,plain,
    ( spl0_33
    | ~ spl0_36
    | spl0_31
    | spl0_26 ),
    inference(rat,[],[s210,s7,s203,s118,s209,s10,s678,s677,s211,s671,s53,s676,s93,s662,s20,s13]) ).

cnf(s680,plain,
    ( ~ spl0_11
    | ~ spl0_33
    | spl0_23
    | spl0_46 ),
    inference(rat,[],[s5,s148,s16,s401,s317,s664,s28,s94,s102,s26,s27]) ).

cnf(s681,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s5,s148,s16,s401,s416,s10,s671,s53,s680,s26,s94,s635,s27,s102,s191,s679,s13,s90,s1,s45,s673,s136,s662,s182,s291]) ).

cnf(s682,plain,
    ( ~ spl0_11
    | ~ spl0_2 ),
    inference(rat,[],[s4,s123,s137,s395,s498,s18,s211,s664,s54,s264,s341,s28,s121,s19,s119]) ).

cnf(s683,plain,
    ( ~ spl0_47
    | spl0_1 ),
    inference(rat,[],[s69,s167,s3,s4,s74,s137,s18,s377,s498,s79,s451,s143,s19,s119,s211,s671,s53,s682,s681,s291]) ).

cnf(s684,plain,
    ( ~ spl0_29
    | ~ spl0_48
    | spl0_1 ),
    inference(rat,[],[s39,s522,s2,s8,s236,s126,s59,s108,s141,s119,s63,s683,s678,s53,s682,s681,s291,s84,s561,s64,s67]) ).

cnf(s685,plain,
    ( ~ spl0_48
    | spl0_1 ),
    inference(rat,[],[s39,s522,s2,s8,s236,s323,s602,s6,s684,s64,s84,s678,s67,s561,s291,s141,s119,s53,s682,s681,s63,s683]) ).

cnf(s686,plain,
    spl0_1,
    inference(rat,[],[s60,s2,s46,s39,s3,s101,s74,s137,s361,s4,s123,s352,s84,s6,s18,s348,s356,s10,s51,s685,s63,s683,s211,s671,s53,s682,s19,s141,s143,s119,s121,s681,s291]) ).

cnf(s687,plain,
    ~ spl0_31,
    inference(rat,[],[s646,s686]) ).

cnf(s689,plain,
    ~ spl0_46,
    inference(rat,[],[s170,s686]) ).

cnf(s690,plain,
    ~ spl0_41,
    inference(rat,[],[s169,s686]) ).

cnf(s691,plain,
    spl0_26,
    inference(rat,[],[s166,s686]) ).

cnf(s695,plain,
    ~ spl0_11,
    inference(rat,[],[s219,s691]) ).

cnf(s697,plain,
    ~ spl0_6,
    inference(rat,[],[s174,s691]) ).

cnf(s698,plain,
    ~ spl0_29,
    inference(rat,[],[s36,s691]) ).

cnf(s699,plain,
    ~ spl0_21,
    inference(rat,[],[s11,s691]) ).

cnf(s700,plain,
    ~ spl0_16,
    inference(rat,[],[s18,s698]) ).

cnf(s702,plain,
    ( ~ spl0_44
    | spl0_22
    | ~ spl0_47 ),
    inference(rat,[],[s5,s120,s148,s424,s482,s134,s699]) ).

cnf(s703,plain,
    ( ~ spl0_18
    | spl0_12
    | ~ spl0_47 ),
    inference(rat,[],[s74,s3,s384,s163,s123,s167,s79,s695]) ).

cnf(s704,plain,
    ( ~ spl0_44
    | ~ spl0_47 ),
    inference(rat,[],[s26,s702,s488]) ).

cnf(s705,plain,
    ( spl0_12
    | spl0_20
    | ~ spl0_47 ),
    inference(rat,[],[s69,s187,s3,s120,s74,s675,s372,s171,s4,s703,s134,s79,s137,s704,s695,s699,s700]) ).

cnf(s706,plain,
    ( spl0_20
    | ~ spl0_47 ),
    inference(rat,[],[s120,s308,s5,s123,s148,s26,s4,s401,s27,s109,s93,s705,s134,s137,s704,s699,s700]) ).

cnf(s707,plain,
    ( spl0_22
    | spl0_33
    | ~ spl0_47 ),
    inference(rat,[],[s9,s226,s235,s120,s5,s148,s263,s7,s203,s134,s704,s181,s110,s211,s706,s690,s699,s687]) ).

cnf(s708,plain,
    ( spl0_33
    | ~ spl0_47 ),
    inference(rat,[],[s69,s216,s3,s9,s74,s243,s115,s26,s655,s707,s93,s79,s704,s211,s706,s695,s690]) ).

cnf(s709,plain,
    ~ spl0_47,
    inference(rat,[],[s9,s226,s235,s120,s5,s148,s26,s401,s27,s708,s211,s706,s704,s134,s690,s699]) ).

cnf(s710,plain,
    ~ spl0_10,
    inference(rat,[],[s63,s709]) ).

cnf(s711,plain,
    ( ~ spl0_32
    | spl0_22
    | spl0_49 ),
    inference(rat,[],[s120,s522,s5,s9,s148,s50,s551,s624,s129,s10,s94,s118,s699,s690,s689,s709]) ).

cnf(s712,plain,
    ( spl0_22
    | spl0_33
    | spl0_49 ),
    inference(rat,[],[s120,s522,s5,s9,s148,s50,s592,s129,s180,s10,s94,s181,s210,s7,s711,s203,s699,s690,s689,s709,s687]) ).

cnf(s713,plain,
    ( ~ spl0_44
    | spl0_7
    | ~ spl0_48 ),
    inference(rat,[],[s2,s39,s236,s101,s580,s710,s697]) ).

cnf(s714,plain,
    ( ~ spl0_22
    | spl0_49 ),
    inference(rat,[],[s123,s661,s4,s9,s137,s713,s50,s40,s171,s129,s89,s472,s10,s115,s26,s209,s655,s211,s700,s690,s689,s709]) ).

cnf(s715,plain,
    ( spl0_22
    | spl0_49 ),
    inference(rat,[],[s10,s635,s102,s191,s712,s709,s689]) ).

cnf(s716,plain,
    spl0_49,
    inference(rat,[],[s715,s714]) ).

cnf(s718,plain,
    ~ spl0_25,
    inference(rat,[],[s280,s716]) ).

cnf(s719,plain,
    ~ spl0_17,
    inference(rat,[],[s110,s716]) ).

cnf(s720,plain,
    ~ spl0_48,
    inference(rat,[],[s56,s716]) ).

cnf(s721,plain,
    ~ spl0_34,
    inference(rat,[],[s181,s719]) ).

cnf(s722,plain,
    ~ spl0_15,
    inference(rat,[],[s51,s720]) ).

cnf(s723,plain,
    ( ~ spl0_22
    | spl0_12 ),
    inference(rat,[],[s69,s3,s216,s74,s9,s243,s300,s115,s26,s655,s722,s695,s716,s690]) ).

cnf(s724,plain,
    spl0_33,
    inference(rat,[],[s3,s163,s74,s187,s235,s120,s5,s148,s263,s7,s203,s723,s93,s722,s695,s716,s699,s718,s687,s721]) ).

cnf(s727,plain,
    ~ spl0_35,
    inference(rat,[],[s27,s724]) ).

cnf(s728,plain,
    ~ spl0_45,
    inference(rat,[],[s248,s716,s724]) ).

cnf(s729,plain,
    ~ spl0_44,
    inference(rat,[],[s254,s716,s724]) ).

cnf(s731,plain,
    ~ spl0_22,
    inference(rat,[],[s26,s727]) ).

cnf(s732,plain,
    ~ spl0_24,
    inference(rat,[],[s148,s728]) ).

cnf(s734,plain,
    spl0_23,
    inference(rat,[],[s5,s731,s718,s699,s732]) ).

cnf(s736,plain,
    spl0_40,
    inference(rat,[],[s120,s734]) ).

cnf(s740,plain,
    ~ spl0_43,
    inference(rat,[],[s235,s716,s736]) ).

cnf(s741,plain,
    ~ spl0_42,
    inference(rat,[],[s226,s716,s736]) ).

cnf(s747,plain,
    $false,
    inference(rat,[],[s9,s729,s728,s690,s740,s741]) ).

fof(f2847,plain,
    $false,
    inference(avatar_sat_refutation,[],[s747]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : ALG077+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.17  % Computer : n009.cluster.edu
% 0.07/0.17  % Model    : x86_64 x86_64
% 0.07/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17  % Memory   : 8046.5625MB
% 0.07/0.17  % OS       : Linux 6.8.0-71-generic
% 0.07/0.17  % CPULimit : 300
% 0.07/0.17  % WCLimit  : 300
% 0.07/0.17  % DateTime : Mon Sep 28 19:25:15 UTC 2026
% 0.07/0.18  % CPUTime  : 
% 0.07/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.20  Running first-order model finding
% 0.07/0.20  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.28  % (3370267)Will run a generic schedule for satisfiability detection.
% 0.18/0.28  % (3370276)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=759751135:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.28  % (3370273)% WARNING: option uhcvi not known.
% 0.18/0.28  % (3370272)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2764236610_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.28  % (3370275)dis+10_1_sil=32000:sp=arity:random_seed=2769091280:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.28  % (3370273)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4101001990:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.28  % (3370274)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=539704362:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.28  % (3370277)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=601439314:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.28  % (3370278)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1072618925:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.28  % Detected minimum model sizes of [10]
% 0.18/0.28  % Detected maximum model sizes of [max]
% 0.18/0.28  % TRYING [10]
% 0.18/0.28  % (3370276) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3370267-3370276"...
% 0.18/0.28  % (3370276)...printing done.
% 0.18/0.28  % (3370276)Refutation found. Thanks to Tanya!
% 0.18/0.28  % SZS status Theorem for theBenchmark
% 0.18/0.28  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.29  % (3370276)------------------------------
% 0.18/0.29  % (3370276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.29  % (3370276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.29  % (3370276)CaDiCaL version: 2.1.3
% 0.18/0.29  % (3370276)Termination reason: Refutation
% 0.18/0.29  % (3370276)Time elapsed: 0.029 s
% 0.18/0.29  % (3370276)Peak memory usage: 13 MB
% 0.18/0.29  % (3370276)Instructions burned: 100 (million)
% 0.18/0.29  % (3370267)Success in time 0.065 s
% 0.18/0.29  % Vampire exiting
%------------------------------------------------------------------------------