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

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

% Computer : n005.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 09:28:49 AM UTC 2026

% Result   : Theorem 0.20s 0.33s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   39
%            Number of leaves      :   55
% Syntax   : Number of formulae    :  971 (  82 unt;  50 def)
%            Number of atoms       : 3028 (1049 equ)
%            Maximal formula atoms :  110 (   3 avg)
%            Number of connectives : 3681 (1624   ~;1665   |; 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) = e13
    & op1(e10,e11) = e12
    & op1(e10,e12) = e10
    & op1(e10,e13) = e11
    & op1(e10,e14) = e14
    & op1(e11,e10) = e10
    & op1(e11,e11) = e14
    & op1(e11,e12) = e11
    & op1(e11,e13) = e12
    & op1(e11,e14) = e13
    & op1(e12,e10) = e11
    & op1(e12,e11) = e13
    & op1(e12,e12) = e12
    & op1(e12,e13) = e14
    & op1(e12,e14) = e10
    & op1(e13,e10) = e14
    & op1(e13,e11) = e11
    & op1(e13,e12) = e13
    & op1(e13,e13) = e10
    & op1(e13,e14) = e12
    & op1(e14,e10) = e12
    & op1(e14,e11) = e10
    & op1(e14,e12) = e14
    & op1(e14,e13) = e13
    & op1(e14,e14) = e11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).

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

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

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

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

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

fof(f10,plain,
    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(f23,plain,
    e21 != e24,
    inference(cnf_transformation,[],[f2]) ).

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

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

fof(f55,plain,
    e11 = op1(e14,e14),
    inference(cnf_transformation,[],[f4]) ).

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

fof(f58,plain,
    e10 = op1(e14,e11),
    inference(cnf_transformation,[],[f4]) ).

fof(f59,plain,
    e12 = op1(e14,e10),
    inference(cnf_transformation,[],[f4]) ).

fof(f60,plain,
    e12 = op1(e13,e14),
    inference(cnf_transformation,[],[f4]) ).

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

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

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

fof(f65,plain,
    e10 = op1(e12,e14),
    inference(cnf_transformation,[],[f4]) ).

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

fof(f68,plain,
    e13 = op1(e12,e11),
    inference(cnf_transformation,[],[f4]) ).

fof(f69,plain,
    e11 = op1(e12,e10),
    inference(cnf_transformation,[],[f4]) ).

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

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

fof(f76,plain,
    e11 = op1(e10,e13),
    inference(cnf_transformation,[],[f4]) ).

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

fof(f78,plain,
    e12 = op1(e10,e11),
    inference(cnf_transformation,[],[f4]) ).

fof(f79,plain,
    e13 = op1(e10,e10),
    inference(cnf_transformation,[],[f4]) ).

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

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

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

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

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

fof(f105,plain,
    ( 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(f125,plain,
    j(op2(e24,e24)) = op1(j(e24),j(e24)),
    inference(cnf_transformation,[],[f9]) ).

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

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

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

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

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

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

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

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

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

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

fof(f206,plain,
    ( e22 != h(e11)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f205]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f311,plain,
    ( e12 != j(e21)
    | spl0_33 ),
    inference(avatar_component_clause,[],[f310]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f378,plain,
    ( e13 != j(e24)
    | spl0_49 ),
    inference(avatar_component_clause,[],[f377]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f423,plain,
    ( e14 = j(e20)
    | ~ spl0_21 ),
    inference(superposition,[],[f115,f262]) ).

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

fof(f451,plain,
    ( e10 = e13
    | ~ spl0_20
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f450,f367]) ).

fof(f452,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_46 ),
    inference(forward_subsumption_resolution,[],[f451,f17]) ).

fof(f453,plain,
    ( ~ spl0_20
    | ~ spl0_46 ),
    inference(avatar_contradiction_clause,[],[f452]) ).

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

fof(f460,plain,
    ( e13 = e14
    | ~ spl0_29
    | ~ spl0_30 ),
    inference(superposition,[],[f299,f295]) ).

fof(f463,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_30 ),
    inference(forward_subsumption_resolution,[],[f460,f10]) ).

fof(f464,plain,
    ( ~ spl0_29
    | ~ spl0_30 ),
    inference(avatar_contradiction_clause,[],[f463]) ).

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

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

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

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

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

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

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

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

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

fof(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(f542,plain,
    ( e10 = e11
    | ~ spl0_8
    | ~ spl0_36 ),
    inference(forward_demodulation,[],[f541,f325]) ).

fof(f543,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_36 ),
    inference(forward_subsumption_resolution,[],[f542,f19]) ).

fof(f544,plain,
    ( ~ spl0_8
    | ~ spl0_36 ),
    inference(avatar_contradiction_clause,[],[f543]) ).

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(f569,plain,
    ( j(op2(e24,e22)) = op1(e10,j(e22))
    | ~ spl0_46 ),
    inference(superposition,[],[f127,f367]) ).

fof(f572,plain,
    ( op1(e10,e11) = j(op2(e24,e22))
    | ~ spl0_37
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f569,f329]) ).

fof(f574,plain,
    ( op1(e10,e11) = j(e21)
    | ~ spl0_37
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f572,f82]) ).

fof(f576,plain,
    ( e14 = op1(e10,e11)
    | ~ spl0_35
    | ~ spl0_37
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f574,f320]) ).

fof(f578,plain,
    ( e12 = e14
    | ~ spl0_35
    | ~ spl0_37
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f576,f78]) ).

fof(f581,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_37
    | ~ spl0_46 ),
    inference(forward_subsumption_resolution,[],[f578,f11]) ).

fof(f582,plain,
    ( ~ spl0_35
    | ~ spl0_37
    | ~ spl0_46 ),
    inference(avatar_contradiction_clause,[],[f581]) ).

fof(f585,plain,
    ( op1(e10,e13) = j(op2(e24,e22))
    | ~ spl0_39
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f569,f337]) ).

fof(f586,plain,
    ( op1(e10,e13) = j(e21)
    | ~ spl0_39
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f585,f82]) ).

fof(f587,plain,
    ( e14 = op1(e10,e13)
    | ~ spl0_35
    | ~ spl0_39
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f586,f320]) ).

fof(f588,plain,
    ( e11 = e14
    | ~ spl0_35
    | ~ spl0_39
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f587,f76]) ).

fof(f589,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_39
    | ~ spl0_46 ),
    inference(forward_subsumption_resolution,[],[f588,f13]) ).

fof(f590,plain,
    ( ~ spl0_35
    | ~ spl0_39
    | ~ spl0_46 ),
    inference(avatar_contradiction_clause,[],[f589]) ).

fof(f593,plain,
    ( op1(e10,e12) = j(op2(e24,e22))
    | ~ spl0_38
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f569,f333]) ).

fof(f596,plain,
    ( op1(e10,e12) = j(e21)
    | ~ spl0_38
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f593,f82]) ).

fof(f597,plain,
    ( e14 = op1(e10,e12)
    | ~ spl0_35
    | ~ spl0_38
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f596,f320]) ).

fof(f598,plain,
    ( e10 = e14
    | ~ spl0_35
    | ~ spl0_38
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f597,f77]) ).

fof(f599,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_38
    | ~ spl0_46 ),
    inference(forward_subsumption_resolution,[],[f598,f16]) ).

fof(f600,plain,
    ( ~ spl0_35
    | ~ spl0_38
    | ~ spl0_46 ),
    inference(avatar_contradiction_clause,[],[f599]) ).

fof(f601,plain,
    ( spl0_41
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f519,f188,f344]) ).

fof(f613,plain,
    ( spl0_14
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f554,f352,f230]) ).

fof(f622,plain,
    ( e12 = j(e24)
    | ~ spl0_15 ),
    inference(superposition,[],[f117,f236]) ).

fof(f623,plain,
    ( e11 = e14
    | ~ spl0_32
    | ~ spl0_35 ),
    inference(superposition,[],[f308,f320]) ).

fof(f624,plain,
    ( e21 = h(e11)
    | ~ spl0_32 ),
    inference(superposition,[],[f123,f308]) ).

fof(f630,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_35 ),
    inference(forward_subsumption_resolution,[],[f623,f13]) ).

fof(f631,plain,
    ( ~ spl0_32
    | ~ spl0_35 ),
    inference(avatar_contradiction_clause,[],[f630]) ).

fof(f632,plain,
    ( spl0_47
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f497,f213,f369]) ).

fof(f636,plain,
    ( spl0_27
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f493,f197,f285]) ).

fof(f642,plain,
    ( e11 = e13
    | ~ spl0_27
    | ~ spl0_29 ),
    inference(superposition,[],[f287,f295]) ).

fof(f647,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[],[f642,f14]) ).

fof(f648,plain,
    ( ~ spl0_27
    | ~ spl0_29 ),
    inference(avatar_contradiction_clause,[],[f647]) ).

fof(f649,plain,
    ( e10 = e11
    | ~ spl0_9
    | ~ spl0_41 ),
    inference(forward_demodulation,[],[f530,f346]) ).

fof(f654,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_41 ),
    inference(forward_subsumption_resolution,[],[f649,f19]) ).

fof(f655,plain,
    ( ~ spl0_9
    | ~ spl0_41 ),
    inference(avatar_contradiction_clause,[],[f654]) ).

fof(f662,plain,
    ( e10 = j(e22)
    | ~ spl0_3 ),
    inference(superposition,[],[f119,f186]) ).

fof(f668,plain,
    ( j(op2(e24,e22)) = op1(j(e24),e10)
    | ~ spl0_36 ),
    inference(superposition,[],[f127,f325]) ).

fof(f670,plain,
    ( op1(e12,e10) = j(op2(e24,e22))
    | ~ spl0_36
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f668,f375]) ).

fof(f671,plain,
    ( op1(e12,e10) = j(e21)
    | ~ spl0_36
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f670,f82]) ).

fof(f672,plain,
    ( e14 = op1(e12,e10)
    | ~ spl0_35
    | ~ spl0_36
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f671,f320]) ).

fof(f673,plain,
    ( e11 = e14
    | ~ spl0_35
    | ~ spl0_36
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f672,f69]) ).

fof(f674,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_36
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[],[f673,f13]) ).

fof(f675,plain,
    ( ~ spl0_35
    | ~ spl0_36
    | ~ spl0_48 ),
    inference(avatar_contradiction_clause,[],[f674]) ).

fof(f678,plain,
    ( op1(e11,e10) = j(op2(e24,e22))
    | ~ spl0_36
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f668,f371]) ).

fof(f681,plain,
    ( op1(e11,e10) = j(e21)
    | ~ spl0_36
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f678,f82]) ).

fof(f682,plain,
    ( e14 = op1(e11,e10)
    | ~ spl0_35
    | ~ spl0_36
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f681,f320]) ).

fof(f683,plain,
    ( e10 = e14
    | ~ spl0_35
    | ~ spl0_36
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f682,f74]) ).

fof(f684,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_36
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f683,f16]) ).

fof(f685,plain,
    ( ~ spl0_35
    | ~ spl0_36
    | ~ spl0_47 ),
    inference(avatar_contradiction_clause,[],[f684]) ).

fof(f687,plain,
    ( spl0_48
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f622,f234,f373]) ).

fof(f698,plain,
    ( e12 = j(e21)
    | ~ spl0_12 ),
    inference(superposition,[],[f117,f224]) ).

fof(f699,plain,
    ( $false
    | ~ spl0_12
    | spl0_33 ),
    inference(forward_subsumption_resolution,[],[f698,f311]) ).

fof(f700,plain,
    ( ~ spl0_12
    | spl0_33 ),
    inference(avatar_contradiction_clause,[],[f699]) ).

fof(f708,plain,
    ( e12 = e13
    | ~ spl0_28
    | ~ spl0_29 ),
    inference(superposition,[],[f295,f291]) ).

fof(f709,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[],[f708,f12]) ).

fof(f710,plain,
    ( ~ spl0_28
    | ~ spl0_29 ),
    inference(avatar_contradiction_clause,[],[f709]) ).

fof(f713,plain,
    ( e11 = e12
    | ~ spl0_14
    | ~ spl0_42 ),
    inference(forward_demodulation,[],[f488,f350]) ).

fof(f718,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_42 ),
    inference(forward_subsumption_resolution,[],[f713,f15]) ).

fof(f719,plain,
    ( ~ spl0_14
    | ~ spl0_42 ),
    inference(avatar_contradiction_clause,[],[f718]) ).

fof(f722,plain,
    ( spl0_37
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f541,f205,f327]) ).

fof(f724,plain,
    ( spl0_38
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f482,f226,f331]) ).

fof(f746,plain,
    ( j(op2(e24,e22)) = op1(j(e24),e11)
    | ~ spl0_37 ),
    inference(superposition,[],[f127,f329]) ).

fof(f747,plain,
    ( e22 = h(e11)
    | ~ spl0_37 ),
    inference(superposition,[],[f122,f329]) ).

fof(f748,plain,
    ( op1(e13,e11) = j(op2(e24,e22))
    | ~ spl0_37
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f746,f379]) ).

fof(f749,plain,
    ( op1(e13,e11) = j(e21)
    | ~ spl0_37
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f748,f82]) ).

fof(f750,plain,
    ( e14 = op1(e13,e11)
    | ~ spl0_35
    | ~ spl0_37
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f749,f320]) ).

fof(f751,plain,
    ( e11 = e14
    | ~ spl0_35
    | ~ spl0_37
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f750,f63]) ).

fof(f752,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_37
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[],[f751,f13]) ).

fof(f753,plain,
    ( ~ spl0_35
    | ~ spl0_37
    | ~ spl0_49 ),
    inference(avatar_contradiction_clause,[],[f752]) ).

fof(f755,plain,
    ( op1(e12,e11) = j(op2(e24,e22))
    | ~ spl0_37
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f746,f375]) ).

fof(f756,plain,
    ( op1(e12,e11) = j(e21)
    | ~ spl0_37
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f755,f82]) ).

fof(f757,plain,
    ( e14 = op1(e12,e11)
    | ~ spl0_35
    | ~ spl0_37
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f756,f320]) ).

fof(f758,plain,
    ( e13 = e14
    | ~ spl0_35
    | ~ spl0_37
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f757,f68]) ).

fof(f759,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_37
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[],[f758,f10]) ).

fof(f760,plain,
    ( ~ spl0_35
    | ~ spl0_37
    | ~ spl0_48 ),
    inference(avatar_contradiction_clause,[],[f759]) ).

fof(f762,plain,
    ( spl0_34
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f429,f243,f314]) ).

fof(f765,plain,
    ( op1(e14,e11) = j(op2(e24,e22))
    | ~ spl0_37
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f746,f383]) ).

fof(f772,plain,
    ( op1(e14,e11) = j(e21)
    | ~ spl0_37
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f765,f82]) ).

fof(f773,plain,
    ( e14 = op1(e14,e11)
    | ~ spl0_35
    | ~ spl0_37
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f772,f320]) ).

fof(f774,plain,
    ( e10 = e14
    | ~ spl0_35
    | ~ spl0_37
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f773,f58]) ).

fof(f775,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_37
    | ~ spl0_50 ),
    inference(forward_subsumption_resolution,[],[f774,f16]) ).

fof(f776,plain,
    ( ~ spl0_35
    | ~ spl0_37
    | ~ spl0_50 ),
    inference(avatar_contradiction_clause,[],[f775]) ).

fof(f789,plain,
    ( e13 = e14
    | ~ spl0_34
    | ~ spl0_35 ),
    inference(superposition,[],[f316,f320]) ).

fof(f796,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_35 ),
    inference(forward_subsumption_resolution,[],[f789,f10]) ).

fof(f797,plain,
    ( ~ spl0_34
    | ~ spl0_35 ),
    inference(avatar_contradiction_clause,[],[f796]) ).

fof(f798,plain,
    ( e11 = e13
    | ~ spl0_18
    | ~ spl0_37 ),
    inference(forward_demodulation,[],[f435,f329]) ).

fof(f801,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_37 ),
    inference(forward_subsumption_resolution,[],[f798,f14]) ).

fof(f802,plain,
    ( ~ spl0_18
    | ~ spl0_37 ),
    inference(avatar_contradiction_clause,[],[f801]) ).

fof(f803,plain,
    ( e11 = e13
    | ~ spl0_20
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f450,f371]) ).

fof(f804,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f803,f14]) ).

fof(f805,plain,
    ( ~ spl0_20
    | ~ spl0_47 ),
    inference(avatar_contradiction_clause,[],[f804]) ).

fof(f806,plain,
    ( spl0_31
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f502,f180,f302]) ).

fof(f808,plain,
    ( spl0_44
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f442,f251,f356]) ).

fof(f810,plain,
    ( e11 = e14
    | ~ spl0_23
    | ~ spl0_37 ),
    inference(forward_demodulation,[],[f396,f329]) ).

fof(f814,plain,
    ( $false
    | spl0_22
    | ~ spl0_35 ),
    inference(forward_subsumption_resolution,[],[f556,f265]) ).

fof(f815,plain,
    ( spl0_22
    | ~ spl0_35 ),
    inference(avatar_contradiction_clause,[],[f814]) ).

fof(f817,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_37 ),
    inference(forward_subsumption_resolution,[],[f810,f13]) ).

fof(f818,plain,
    ( ~ spl0_23
    | ~ spl0_37 ),
    inference(avatar_contradiction_clause,[],[f817]) ).

fof(f819,plain,
    ( spl0_26
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f506,f176,f281]) ).

fof(f835,plain,
    ( e10 = e12
    | ~ spl0_26
    | ~ spl0_28 ),
    inference(superposition,[],[f283,f291]) ).

fof(f840,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_28 ),
    inference(forward_subsumption_resolution,[],[f835,f18]) ).

fof(f841,plain,
    ( ~ spl0_26
    | ~ spl0_28 ),
    inference(avatar_contradiction_clause,[],[f840]) ).

fof(f856,plain,
    ( e11 = e14
    | ~ spl0_25
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f411,f371]) ).

fof(f871,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f856,f13]) ).

fof(f872,plain,
    ( ~ spl0_25
    | ~ spl0_47 ),
    inference(avatar_contradiction_clause,[],[f871]) ).

fof(f880,plain,
    ( e12 = j(e20)
    | ~ spl0_11 ),
    inference(superposition,[],[f117,f220]) ).

fof(f884,plain,
    ( e14 = j(e24)
    | ~ spl0_25 ),
    inference(superposition,[],[f115,f278]) ).

fof(f887,plain,
    ( e21 = h(e10)
    | ~ spl0_31 ),
    inference(superposition,[],[f123,f304]) ).

fof(f890,plain,
    ( j(op2(e24,e23)) = op1(j(e24),e13)
    | ~ spl0_44 ),
    inference(superposition,[],[f126,f358]) ).

fof(f892,plain,
    ( op1(e14,e13) = j(op2(e24,e23))
    | ~ spl0_44
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f890,f383]) ).

fof(f893,plain,
    ( op1(e14,e13) = j(e24)
    | ~ spl0_44
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f892,f81]) ).

fof(f894,plain,
    ( e14 = op1(e14,e13)
    | ~ spl0_44
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f893,f383]) ).

fof(f895,plain,
    ( e13 = e14
    | ~ spl0_44
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f894,f56]) ).

fof(f896,plain,
    ( $false
    | ~ spl0_44
    | ~ spl0_50 ),
    inference(forward_subsumption_resolution,[],[f895,f10]) ).

fof(f897,plain,
    ( ~ spl0_44
    | ~ spl0_50 ),
    inference(avatar_contradiction_clause,[],[f896]) ).

fof(f901,plain,
    ( e13 = e14
    | ~ spl0_25
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f884,f379]) ).

fof(f906,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[],[f901,f10]) ).

fof(f907,plain,
    ( ~ spl0_25
    | ~ spl0_49 ),
    inference(avatar_contradiction_clause,[],[f906]) ).

fof(f915,plain,
    ( e12 = e14
    | ~ spl0_21
    | ~ spl0_28 ),
    inference(forward_demodulation,[],[f423,f291]) ).

fof(f925,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_28 ),
    inference(forward_subsumption_resolution,[],[f915,f11]) ).

fof(f926,plain,
    ( ~ spl0_21
    | ~ spl0_28 ),
    inference(avatar_contradiction_clause,[],[f925]) ).

fof(f960,plain,
    ( spl0_50
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f411,f276,f381]) ).

fof(f970,plain,
    ( e12 = e13
    | ~ spl0_20
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f450,f375]) ).

fof(f971,plain,
    ( spl0_45
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f403,f272,f360]) ).

fof(f976,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[],[f970,f12]) ).

fof(f977,plain,
    ( ~ spl0_20
    | ~ spl0_48 ),
    inference(avatar_contradiction_clause,[],[f976]) ).

fof(f989,plain,
    ( e14 = j(e23)
    | ~ spl0_24 ),
    inference(superposition,[],[f115,f274]) ).

fof(f992,plain,
    ( j(op2(e24,e23)) = op1(j(e24),e14)
    | ~ spl0_45 ),
    inference(superposition,[],[f126,f362]) ).

fof(f994,plain,
    ( op1(e13,e14) = j(op2(e24,e23))
    | ~ spl0_45
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f992,f379]) ).

fof(f995,plain,
    ( op1(e13,e14) = j(e24)
    | ~ spl0_45
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f994,f81]) ).

fof(f996,plain,
    ( e13 = op1(e13,e14)
    | ~ spl0_45
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f995,f379]) ).

fof(f997,plain,
    ( e12 = e13
    | ~ spl0_45
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f996,f60]) ).

fof(f998,plain,
    ( $false
    | ~ spl0_45
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[],[f997,f12]) ).

fof(f999,plain,
    ( ~ spl0_45
    | ~ spl0_49 ),
    inference(avatar_contradiction_clause,[],[f998]) ).

fof(f1001,plain,
    ( $false
    | ~ spl0_20
    | spl0_49 ),
    inference(forward_subsumption_resolution,[],[f450,f378]) ).

fof(f1002,plain,
    ( ~ spl0_20
    | spl0_49 ),
    inference(avatar_contradiction_clause,[],[f1001]) ).

fof(f1005,plain,
    ( op1(e14,e14) = j(op2(e24,e23))
    | ~ spl0_45
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f992,f383]) ).

fof(f1007,plain,
    ( op1(e14,e14) = j(e24)
    | ~ spl0_45
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1005,f81]) ).

fof(f1009,plain,
    ( e14 = op1(e14,e14)
    | ~ spl0_45
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1007,f383]) ).

fof(f1010,plain,
    ( e11 = e14
    | ~ spl0_45
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1009,f55]) ).

fof(f1011,plain,
    ( $false
    | ~ spl0_45
    | ~ spl0_50 ),
    inference(forward_subsumption_resolution,[],[f1010,f13]) ).

fof(f1012,plain,
    ( ~ spl0_45
    | ~ spl0_50 ),
    inference(avatar_contradiction_clause,[],[f1011]) ).

fof(f1013,plain,
    ( spl0_36
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f662,f184,f323]) ).

fof(f1023,plain,
    ( $false
    | spl0_8
    | ~ spl0_37 ),
    inference(forward_subsumption_resolution,[],[f747,f206]) ).

fof(f1024,plain,
    ( spl0_8
    | ~ spl0_37 ),
    inference(avatar_contradiction_clause,[],[f1023]) ).

fof(f1031,plain,
    ( spl0_46
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f525,f192,f365]) ).

fof(f1036,plain,
    ( op1(e10,e11) = j(op2(e24,e22))
    | ~ spl0_37
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f746,f367]) ).

fof(f1040,plain,
    ( op1(e10,e11) = j(e21)
    | ~ spl0_37
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1036,f82]) ).

fof(f1042,plain,
    ( e13 = op1(e10,e11)
    | ~ spl0_34
    | ~ spl0_37
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1040,f316]) ).

fof(f1044,plain,
    ( e12 = e13
    | ~ spl0_34
    | ~ spl0_37
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1042,f78]) ).

fof(f1045,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_37
    | ~ spl0_46 ),
    inference(forward_subsumption_resolution,[],[f1044,f12]) ).

fof(f1046,plain,
    ( ~ spl0_34
    | ~ spl0_37
    | ~ spl0_46 ),
    inference(avatar_contradiction_clause,[],[f1045]) ).

fof(f1050,plain,
    ( op1(e14,e11) = j(op2(e24,e22))
    | ~ spl0_37
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f746,f383]) ).

fof(f1054,plain,
    ( op1(e14,e11) = j(e21)
    | ~ spl0_37
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1050,f82]) ).

fof(f1055,plain,
    ( e13 = op1(e14,e11)
    | ~ spl0_34
    | ~ spl0_37
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1054,f316]) ).

fof(f1056,plain,
    ( e10 = e13
    | ~ spl0_34
    | ~ spl0_37
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1055,f58]) ).

fof(f1057,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_37
    | ~ spl0_50 ),
    inference(forward_subsumption_resolution,[],[f1056,f17]) ).

fof(f1058,plain,
    ( ~ spl0_34
    | ~ spl0_37
    | ~ spl0_50 ),
    inference(avatar_contradiction_clause,[],[f1057]) ).

fof(f1059,plain,
    ( spl0_33
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f698,f222,f310]) ).

fof(f1111,plain,
    ( j(op2(e24,e23)) = op1(j(e24),e10)
    | ~ spl0_41 ),
    inference(superposition,[],[f126,f346]) ).

fof(f1112,plain,
    ( e23 = h(e10)
    | ~ spl0_41 ),
    inference(superposition,[],[f121,f346]) ).

fof(f1113,plain,
    ( op1(e12,e10) = j(op2(e24,e23))
    | ~ spl0_41
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f1111,f375]) ).

fof(f1114,plain,
    ( op1(e12,e10) = j(e24)
    | ~ spl0_41
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f1113,f81]) ).

fof(f1115,plain,
    ( e12 = op1(e12,e10)
    | ~ spl0_41
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f1114,f375]) ).

fof(f1116,plain,
    ( e11 = e12
    | ~ spl0_41
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f1115,f69]) ).

fof(f1117,plain,
    ( $false
    | ~ spl0_41
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[],[f1116,f15]) ).

fof(f1118,plain,
    ( ~ spl0_41
    | ~ spl0_48 ),
    inference(avatar_contradiction_clause,[],[f1117]) ).

fof(f1120,plain,
    ( spl0_49
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f450,f255,f377]) ).

fof(f1155,plain,
    ( e13 = j(e23)
    | ~ spl0_19 ),
    inference(superposition,[],[f116,f253]) ).

fof(f1157,plain,
    ( e10 = e12
    | ~ spl0_31
    | ~ spl0_33 ),
    inference(superposition,[],[f312,f304]) ).

fof(f1162,plain,
    ( $false
    | ~ spl0_31
    | ~ spl0_33 ),
    inference(forward_subsumption_resolution,[],[f1157,f18]) ).

fof(f1163,plain,
    ( ~ spl0_31
    | ~ spl0_33 ),
    inference(avatar_contradiction_clause,[],[f1162]) ).

fof(f1184,plain,
    ( op1(e10,e10) = j(op2(e24,e24))
    | ~ spl0_46 ),
    inference(superposition,[],[f125,f367]) ).

fof(f1186,plain,
    ( op1(e10,e10) = j(e20)
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1184,f80]) ).

fof(f1189,plain,
    ( e14 = op1(e10,e10)
    | ~ spl0_30
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1186,f299]) ).

fof(f1192,plain,
    ( e13 = e14
    | ~ spl0_30
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1189,f79]) ).

fof(f1195,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_46 ),
    inference(forward_subsumption_resolution,[],[f1192,f10]) ).

fof(f1196,plain,
    ( ~ spl0_30
    | ~ spl0_46 ),
    inference(avatar_contradiction_clause,[],[f1195]) ).

fof(f1245,plain,
    ( j(op2(e24,e23)) = op1(j(e24),e11)
    | ~ spl0_42 ),
    inference(superposition,[],[f126,f350]) ).

fof(f1248,plain,
    ( op1(e14,e11) = j(op2(e24,e23))
    | ~ spl0_42
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1245,f383]) ).

fof(f1251,plain,
    ( op1(e14,e11) = j(e24)
    | ~ spl0_42
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1248,f81]) ).

fof(f1252,plain,
    ( e14 = op1(e14,e11)
    | ~ spl0_42
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1251,f383]) ).

fof(f1253,plain,
    ( e10 = e14
    | ~ spl0_42
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1252,f58]) ).

fof(f1254,plain,
    ( $false
    | ~ spl0_42
    | ~ spl0_50 ),
    inference(forward_subsumption_resolution,[],[f1253,f16]) ).

fof(f1255,plain,
    ( ~ spl0_42
    | ~ spl0_50 ),
    inference(avatar_contradiction_clause,[],[f1254]) ).

fof(f1256,plain,
    ( spl0_43
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f488,f230,f352]) ).

fof(f1280,plain,
    ( op1(e12,e12) = j(op2(e24,e24))
    | ~ spl0_48 ),
    inference(superposition,[],[f125,f375]) ).

fof(f1281,plain,
    ( e24 = h(e12)
    | ~ spl0_48 ),
    inference(superposition,[],[f120,f375]) ).

fof(f1282,plain,
    ( e23 = e24
    | ~ spl0_14
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f1281,f232]) ).

fof(f1283,plain,
    ( op1(e12,e12) = j(e20)
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f1280,f80]) ).

fof(f1286,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[],[f1282,f20]) ).

fof(f1287,plain,
    ( ~ spl0_14
    | ~ spl0_48 ),
    inference(avatar_contradiction_clause,[],[f1286]) ).

fof(f1288,plain,
    ( e13 = op1(e12,e12)
    | ~ spl0_29
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f1283,f295]) ).

fof(f1291,plain,
    ( e12 = e13
    | ~ spl0_29
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f1288,f67]) ).

fof(f1294,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[],[f1291,f12]) ).

fof(f1295,plain,
    ( ~ spl0_29
    | ~ spl0_48 ),
    inference(avatar_contradiction_clause,[],[f1294]) ).

fof(f1303,plain,
    ( op1(e14,e14) = j(op2(e24,e24))
    | ~ spl0_50 ),
    inference(superposition,[],[f125,f383]) ).

fof(f1305,plain,
    ( op1(e14,e14) = j(e20)
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1303,f80]) ).

fof(f1308,plain,
    ( e13 = op1(e14,e14)
    | ~ spl0_29
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1305,f295]) ).

fof(f1311,plain,
    ( e11 = e13
    | ~ spl0_29
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1308,f55]) ).

fof(f1314,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_50 ),
    inference(forward_subsumption_resolution,[],[f1311,f14]) ).

fof(f1315,plain,
    ( ~ spl0_29
    | ~ spl0_50 ),
    inference(avatar_contradiction_clause,[],[f1314]) ).

fof(f1317,plain,
    ( e12 = e13
    | ~ spl0_19
    | ~ spl0_43 ),
    inference(forward_demodulation,[],[f442,f354]) ).

fof(f1319,plain,
    ( e12 = e13
    | ~ spl0_19
    | ~ spl0_43 ),
    inference(forward_demodulation,[],[f1155,f354]) ).

fof(f1337,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_43 ),
    inference(forward_subsumption_resolution,[],[f1317,f12]) ).

fof(f1338,plain,
    ( ~ spl0_19
    | ~ spl0_43 ),
    inference(avatar_contradiction_clause,[],[f1337]) ).

fof(f1341,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_43 ),
    inference(forward_subsumption_resolution,[],[f1319,f12]) ).

fof(f1342,plain,
    ( ~ spl0_19
    | ~ spl0_43 ),
    inference(avatar_contradiction_clause,[],[f1341]) ).

fof(f1352,plain,
    ( e12 = e14
    | ~ spl0_24
    | ~ spl0_43 ),
    inference(forward_demodulation,[],[f989,f354]) ).

fof(f1371,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_43 ),
    inference(forward_subsumption_resolution,[],[f1352,f11]) ).

fof(f1372,plain,
    ( ~ spl0_24
    | ~ spl0_43 ),
    inference(avatar_contradiction_clause,[],[f1371]) ).

fof(f1418,plain,
    ( e24 = h(e10)
    | ~ spl0_46 ),
    inference(superposition,[],[f120,f367]) ).

fof(f1427,plain,
    ( j(op2(e24,e21)) = op1(e10,j(e21))
    | ~ spl0_46 ),
    inference(superposition,[],[f128,f367]) ).

fof(f1430,plain,
    ( op1(e10,e12) = j(op2(e24,e21))
    | ~ spl0_33
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1427,f312]) ).

fof(f1432,plain,
    ( op1(e10,e12) = j(e23)
    | ~ spl0_33
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1430,f83]) ).

fof(f1434,plain,
    ( e14 = op1(e10,e12)
    | ~ spl0_33
    | ~ spl0_45
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1432,f362]) ).

fof(f1436,plain,
    ( e10 = e14
    | ~ spl0_33
    | ~ spl0_45
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1434,f77]) ).

fof(f1439,plain,
    ( $false
    | ~ spl0_33
    | ~ spl0_45
    | ~ spl0_46 ),
    inference(forward_subsumption_resolution,[],[f1436,f16]) ).

fof(f1440,plain,
    ( ~ spl0_33
    | ~ spl0_45
    | ~ spl0_46 ),
    inference(avatar_contradiction_clause,[],[f1439]) ).

fof(f1477,plain,
    ( j(op2(e24,e21)) = op1(j(e24),e10)
    | ~ spl0_31 ),
    inference(superposition,[],[f128,f304]) ).

fof(f1479,plain,
    ( op1(e12,e10) = j(op2(e24,e21))
    | ~ spl0_31
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f1477,f375]) ).

fof(f1480,plain,
    ( op1(e12,e10) = j(e23)
    | ~ spl0_31
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f1479,f83]) ).

fof(f1481,plain,
    ( e13 = op1(e12,e10)
    | ~ spl0_31
    | ~ spl0_44
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f1480,f358]) ).

fof(f1482,plain,
    ( e11 = e13
    | ~ spl0_31
    | ~ spl0_44
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f1481,f69]) ).

fof(f1483,plain,
    ( $false
    | ~ spl0_31
    | ~ spl0_44
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[],[f1482,f14]) ).

fof(f1484,plain,
    ( ~ spl0_31
    | ~ spl0_44
    | ~ spl0_48 ),
    inference(avatar_contradiction_clause,[],[f1483]) ).

fof(f1513,plain,
    ( op1(e13,e13) = j(op2(e24,e24))
    | ~ spl0_49 ),
    inference(superposition,[],[f125,f379]) ).

fof(f1522,plain,
    ( op1(e13,e13) = j(e20)
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1513,f80]) ).

fof(f1526,plain,
    ( e14 = op1(e13,e13)
    | ~ spl0_30
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1522,f299]) ).

fof(f1530,plain,
    ( e10 = e14
    | ~ spl0_30
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1526,f61]) ).

fof(f1531,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[],[f1530,f16]) ).

fof(f1532,plain,
    ( ~ spl0_30
    | ~ spl0_49 ),
    inference(avatar_contradiction_clause,[],[f1531]) ).

fof(f1560,plain,
    ( e13 = j(e21)
    | ~ spl0_17 ),
    inference(superposition,[],[f116,f245]) ).

fof(f1569,plain,
    ( e21 = h(e13)
    | ~ spl0_34 ),
    inference(superposition,[],[f123,f316]) ).

fof(f1574,plain,
    ( j(op2(e24,e23)) = op1(j(e24),e14)
    | ~ spl0_45 ),
    inference(superposition,[],[f126,f362]) ).

fof(f1578,plain,
    ( op1(e12,e14) = j(op2(e24,e23))
    | ~ spl0_45
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f1574,f375]) ).

fof(f1579,plain,
    ( op1(e12,e14) = j(e24)
    | ~ spl0_45
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f1578,f81]) ).

fof(f1580,plain,
    ( e12 = op1(e12,e14)
    | ~ spl0_45
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f1579,f375]) ).

fof(f1581,plain,
    ( e10 = e12
    | ~ spl0_45
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f1580,f65]) ).

fof(f1582,plain,
    ( $false
    | ~ spl0_45
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[],[f1581,f18]) ).

fof(f1583,plain,
    ( ~ spl0_45
    | ~ spl0_48 ),
    inference(avatar_contradiction_clause,[],[f1582]) ).

fof(f1585,plain,
    ( spl0_39
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f435,f247,f335]) ).

fof(f1617,plain,
    ( e12 = e13
    | ~ spl0_38
    | ~ spl0_39 ),
    inference(forward_demodulation,[],[f337,f333]) ).

fof(f1620,plain,
    ( $false
    | ~ spl0_38
    | ~ spl0_39 ),
    inference(forward_subsumption_resolution,[],[f1617,f12]) ).

fof(f1621,plain,
    ( ~ spl0_38
    | ~ spl0_39 ),
    inference(avatar_contradiction_clause,[],[f1620]) ).

fof(f1664,plain,
    ( j(op2(e24,e22)) = op1(j(e24),e10)
    | ~ spl0_36 ),
    inference(superposition,[],[f127,f325]) ).

fof(f1678,plain,
    ( op1(e13,e13) = j(op2(e24,e24))
    | ~ spl0_49 ),
    inference(superposition,[],[f125,f379]) ).

fof(f1687,plain,
    ( op1(e13,e13) = j(e20)
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1678,f80]) ).

fof(f1691,plain,
    ( e11 = op1(e13,e13)
    | ~ spl0_27
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1687,f287]) ).

fof(f1695,plain,
    ( e10 = e11
    | ~ spl0_27
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f1691,f61]) ).

fof(f1696,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[],[f1695,f19]) ).

fof(f1697,plain,
    ( ~ spl0_27
    | ~ spl0_49 ),
    inference(avatar_contradiction_clause,[],[f1696]) ).

fof(f1701,plain,
    ( e11 = e12
    | ~ spl0_11
    | ~ spl0_27 ),
    inference(forward_demodulation,[],[f880,f287]) ).

fof(f1712,plain,
    ( op1(e10,e10) = j(op2(e24,e22))
    | ~ spl0_36
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1664,f367]) ).

fof(f1721,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[],[f1701,f15]) ).

fof(f1722,plain,
    ( ~ spl0_11
    | ~ spl0_27 ),
    inference(avatar_contradiction_clause,[],[f1721]) ).

fof(f1732,plain,
    ( op1(e10,e10) = j(e21)
    | ~ spl0_36
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1712,f82]) ).

fof(f1734,plain,
    ( e14 = op1(e10,e10)
    | ~ spl0_35
    | ~ spl0_36
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1732,f320]) ).

fof(f1735,plain,
    ( e13 = e14
    | ~ spl0_35
    | ~ spl0_36
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1734,f79]) ).

fof(f1736,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_36
    | ~ spl0_46 ),
    inference(forward_subsumption_resolution,[],[f1735,f10]) ).

fof(f1737,plain,
    ( ~ spl0_35
    | ~ spl0_36
    | ~ spl0_46 ),
    inference(avatar_contradiction_clause,[],[f1736]) ).

fof(f1756,plain,
    ( e13 = j(e23)
    | ~ spl0_19 ),
    inference(superposition,[],[f116,f253]) ).

fof(f1765,plain,
    ( e22 = h(e14)
    | ~ spl0_40 ),
    inference(superposition,[],[f122,f341]) ).

fof(f1766,plain,
    ( e21 = e22
    | ~ spl0_22
    | ~ spl0_40 ),
    inference(forward_demodulation,[],[f1765,f266]) ).

fof(f1768,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_40 ),
    inference(forward_subsumption_resolution,[],[f1766,f25]) ).

fof(f1769,plain,
    ( ~ spl0_22
    | ~ spl0_40 ),
    inference(avatar_contradiction_clause,[],[f1768]) ).

fof(f1797,plain,
    ( j(op2(e24,e22)) = op1(j(e24),e12)
    | ~ spl0_38 ),
    inference(superposition,[],[f127,f333]) ).

fof(f1799,plain,
    ( op1(e11,e12) = j(op2(e24,e22))
    | ~ spl0_38
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f1797,f371]) ).

fof(f1800,plain,
    ( op1(e11,e12) = j(e21)
    | ~ spl0_38
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f1799,f82]) ).

fof(f1801,plain,
    ( e14 = op1(e11,e12)
    | ~ spl0_35
    | ~ spl0_38
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f1800,f320]) ).

fof(f1802,plain,
    ( e11 = e14
    | ~ spl0_35
    | ~ spl0_38
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f1801,f72]) ).

fof(f1803,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_38
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f1802,f13]) ).

fof(f1804,plain,
    ( ~ spl0_35
    | ~ spl0_38
    | ~ spl0_47 ),
    inference(avatar_contradiction_clause,[],[f1803]) ).

fof(f1809,plain,
    ( op1(e12,e12) = j(op2(e24,e22))
    | ~ spl0_38
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f1797,f375]) ).

fof(f1813,plain,
    ( op1(e12,e12) = j(e21)
    | ~ spl0_38
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f1809,f82]) ).

fof(f1815,plain,
    ( e14 = op1(e12,e12)
    | ~ spl0_35
    | ~ spl0_38
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f1813,f320]) ).

fof(f1817,plain,
    ( e12 = e14
    | ~ spl0_35
    | ~ spl0_38
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f1815,f67]) ).

fof(f1820,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_38
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[],[f1817,f11]) ).

fof(f1821,plain,
    ( ~ spl0_35
    | ~ spl0_38
    | ~ spl0_48 ),
    inference(avatar_contradiction_clause,[],[f1820]) ).

fof(f1824,plain,
    ( e12 = e14
    | ~ spl0_23
    | ~ spl0_38 ),
    inference(forward_demodulation,[],[f396,f333]) ).

fof(f1842,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_38 ),
    inference(forward_subsumption_resolution,[],[f1824,f11]) ).

fof(f1843,plain,
    ( ~ spl0_23
    | ~ spl0_38 ),
    inference(avatar_contradiction_clause,[],[f1842]) ).

fof(f1852,plain,
    ( op1(e10,e12) = j(op2(e24,e22))
    | ~ spl0_38
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1797,f367]) ).

fof(f1858,plain,
    ( op1(e10,e12) = j(e21)
    | ~ spl0_38
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1852,f82]) ).

fof(f1867,plain,
    ( $false
    | spl0_17
    | ~ spl0_34 ),
    inference(forward_subsumption_resolution,[],[f1569,f244]) ).

fof(f1868,plain,
    ( spl0_17
    | ~ spl0_34 ),
    inference(avatar_contradiction_clause,[],[f1867]) ).

fof(f1871,plain,
    ( e13 = op1(e10,e12)
    | ~ spl0_34
    | ~ spl0_38
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1858,f316]) ).

fof(f1873,plain,
    ( e10 = e13
    | ~ spl0_34
    | ~ spl0_38
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1871,f77]) ).

fof(f1874,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_38
    | ~ spl0_46 ),
    inference(forward_subsumption_resolution,[],[f1873,f17]) ).

fof(f1875,plain,
    ( ~ spl0_34
    | ~ spl0_38
    | ~ spl0_46 ),
    inference(avatar_contradiction_clause,[],[f1874]) ).

fof(f1876,plain,
    ( spl0_2
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f887,f302,f180]) ).

fof(f1886,plain,
    ( e11 = e13
    | ~ spl0_19
    | ~ spl0_42 ),
    inference(forward_demodulation,[],[f1756,f350]) ).

fof(f1887,plain,
    ( spl0_40
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f396,f268,f339]) ).

fof(f1890,plain,
    ( $false
    | spl0_7
    | ~ spl0_32 ),
    inference(forward_subsumption_resolution,[],[f624,f202]) ).

fof(f1891,plain,
    ( spl0_7
    | ~ spl0_32 ),
    inference(avatar_contradiction_clause,[],[f1890]) ).

fof(f1911,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_42 ),
    inference(forward_subsumption_resolution,[],[f1886,f14]) ).

fof(f1912,plain,
    ( ~ spl0_19
    | ~ spl0_42 ),
    inference(avatar_contradiction_clause,[],[f1911]) ).

fof(f1916,plain,
    ( e13 = e14
    | ~ spl0_39
    | ~ spl0_40 ),
    inference(forward_demodulation,[],[f341,f337]) ).

fof(f1919,plain,
    ( $false
    | ~ spl0_39
    | ~ spl0_40 ),
    inference(forward_subsumption_resolution,[],[f1916,f10]) ).

fof(f1920,plain,
    ( ~ spl0_39
    | ~ spl0_40 ),
    inference(avatar_contradiction_clause,[],[f1919]) ).

fof(f1941,plain,
    ( j(op2(e24,e21)) = op1(j(e24),e11)
    | ~ spl0_32 ),
    inference(superposition,[],[f128,f308]) ).

fof(f1943,plain,
    ( op1(e10,e11) = j(op2(e24,e21))
    | ~ spl0_32
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1941,f367]) ).

fof(f1944,plain,
    ( op1(e10,e11) = j(e23)
    | ~ spl0_32
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1943,f83]) ).

fof(f1945,plain,
    ( e13 = op1(e10,e11)
    | ~ spl0_32
    | ~ spl0_44
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1944,f358]) ).

fof(f1946,plain,
    ( e12 = e13
    | ~ spl0_32
    | ~ spl0_44
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1945,f78]) ).

fof(f1947,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_44
    | ~ spl0_46 ),
    inference(forward_subsumption_resolution,[],[f1946,f12]) ).

fof(f1948,plain,
    ( ~ spl0_32
    | ~ spl0_44
    | ~ spl0_46 ),
    inference(avatar_contradiction_clause,[],[f1947]) ).

fof(f1960,plain,
    ( e11 = j(e20)
    | ~ spl0_6 ),
    inference(superposition,[],[f118,f199]) ).

fof(f1968,plain,
    ( j(op2(e24,e21)) = op1(j(e24),e12)
    | ~ spl0_33 ),
    inference(superposition,[],[f128,f312]) ).

fof(f1970,plain,
    ( op1(e10,e12) = j(op2(e24,e21))
    | ~ spl0_33
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1968,f367]) ).

fof(f1971,plain,
    ( op1(e10,e12) = j(e23)
    | ~ spl0_33
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1970,f83]) ).

fof(f1979,plain,
    ( e11 = op1(e10,e12)
    | ~ spl0_33
    | ~ spl0_42
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1971,f350]) ).

fof(f1984,plain,
    ( e10 = e11
    | ~ spl0_33
    | ~ spl0_42
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1979,f77]) ).

fof(f1985,plain,
    ( $false
    | ~ spl0_33
    | ~ spl0_42
    | ~ spl0_46 ),
    inference(forward_subsumption_resolution,[],[f1984,f19]) ).

fof(f1986,plain,
    ( ~ spl0_33
    | ~ spl0_42
    | ~ spl0_46 ),
    inference(avatar_contradiction_clause,[],[f1985]) ).

fof(f2018,plain,
    ( e11 = e14
    | ~ spl0_42
    | ~ spl0_45 ),
    inference(forward_demodulation,[],[f362,f350]) ).

fof(f2031,plain,
    ( e21 = e24
    | ~ spl0_2
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1418,f182]) ).

fof(f2032,plain,
    ( $false
    | ~ spl0_42
    | ~ spl0_45 ),
    inference(forward_subsumption_resolution,[],[f2018,f13]) ).

fof(f2033,plain,
    ( ~ spl0_42
    | ~ spl0_45 ),
    inference(avatar_contradiction_clause,[],[f2032]) ).

fof(f2038,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_46 ),
    inference(forward_subsumption_resolution,[],[f2031,f23]) ).

fof(f2039,plain,
    ( ~ spl0_2
    | ~ spl0_46 ),
    inference(avatar_contradiction_clause,[],[f2038]) ).

fof(f2098,plain,
    ( j(op2(e24,e21)) = op1(e10,j(e21))
    | ~ spl0_46 ),
    inference(superposition,[],[f128,f367]) ).

fof(f2099,plain,
    ( op1(e10,e11) = j(op2(e24,e21))
    | ~ spl0_32
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f2098,f308]) ).

fof(f2103,plain,
    ( op1(e10,e11) = j(e23)
    | ~ spl0_32
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f2099,f83]) ).

fof(f2112,plain,
    ( j(op2(e24,e20)) = op1(e10,j(e20))
    | ~ spl0_46 ),
    inference(superposition,[],[f129,f367]) ).

fof(f2115,plain,
    ( op1(e10,e13) = j(op2(e24,e20))
    | ~ spl0_29
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f2112,f295]) ).

fof(f2117,plain,
    ( op1(e10,e13) = j(e22)
    | ~ spl0_29
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f2115,f84]) ).

fof(f2119,plain,
    ( e14 = op1(e10,e13)
    | ~ spl0_29
    | ~ spl0_40
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f2117,f341]) ).

fof(f2121,plain,
    ( e11 = e14
    | ~ spl0_29
    | ~ spl0_40
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f2119,f76]) ).

fof(f2124,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_40
    | ~ spl0_46 ),
    inference(forward_subsumption_resolution,[],[f2121,f13]) ).

fof(f2125,plain,
    ( ~ spl0_29
    | ~ spl0_40
    | ~ spl0_46 ),
    inference(avatar_contradiction_clause,[],[f2124]) ).

fof(f2132,plain,
    ( e14 = op1(e10,e11)
    | ~ spl0_32
    | ~ spl0_45
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f2103,f362]) ).

fof(f2144,plain,
    ( e12 = e14
    | ~ spl0_32
    | ~ spl0_45
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f2132,f78]) ).

fof(f2150,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_45
    | ~ spl0_46 ),
    inference(forward_subsumption_resolution,[],[f2144,f11]) ).

fof(f2151,plain,
    ( ~ spl0_32
    | ~ spl0_45
    | ~ spl0_46 ),
    inference(avatar_contradiction_clause,[],[f2150]) ).

fof(f2177,plain,
    ( e12 = j(e21)
    | ~ spl0_12 ),
    inference(superposition,[],[f117,f224]) ).

fof(f2184,plain,
    ( j(op2(e24,e20)) = op1(j(e24),e10)
    | ~ spl0_26 ),
    inference(superposition,[],[f129,f283]) ).

fof(f2188,plain,
    ( op1(e11,e10) = j(op2(e24,e20))
    | ~ spl0_26
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2184,f371]) ).

fof(f2189,plain,
    ( op1(e11,e10) = j(e22)
    | ~ spl0_26
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2188,f84]) ).

fof(f2190,plain,
    ( e13 = op1(e11,e10)
    | ~ spl0_26
    | ~ spl0_39
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2189,f337]) ).

fof(f2191,plain,
    ( e10 = e13
    | ~ spl0_26
    | ~ spl0_39
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2190,f74]) ).

fof(f2192,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_39
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f2191,f17]) ).

fof(f2193,plain,
    ( ~ spl0_26
    | ~ spl0_39
    | ~ spl0_47 ),
    inference(avatar_contradiction_clause,[],[f2192]) ).

fof(f2198,plain,
    ( e10 = e11
    | ~ spl0_6
    | ~ spl0_26 ),
    inference(forward_demodulation,[],[f1960,f283]) ).

fof(f2201,plain,
    ( e20 = e23
    | ~ spl0_1
    | ~ spl0_41 ),
    inference(forward_demodulation,[],[f1112,f178]) ).

fof(f2204,plain,
    ( op1(e14,e10) = j(op2(e24,e20))
    | ~ spl0_26
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f2184,f383]) ).

fof(f2216,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_26 ),
    inference(forward_subsumption_resolution,[],[f2198,f19]) ).

fof(f2217,plain,
    ( ~ spl0_6
    | ~ spl0_26 ),
    inference(avatar_contradiction_clause,[],[f2216]) ).

fof(f2220,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_41 ),
    inference(forward_subsumption_resolution,[],[f2201,f27]) ).

fof(f2221,plain,
    ( ~ spl0_1
    | ~ spl0_41 ),
    inference(avatar_contradiction_clause,[],[f2220]) ).

fof(f2222,plain,
    ( op1(e14,e10) = j(e22)
    | ~ spl0_26
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f2204,f84]) ).

fof(f2223,plain,
    ( e13 = op1(e14,e10)
    | ~ spl0_26
    | ~ spl0_39
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f2222,f337]) ).

fof(f2224,plain,
    ( e12 = e13
    | ~ spl0_26
    | ~ spl0_39
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f2223,f59]) ).

fof(f2225,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_39
    | ~ spl0_50 ),
    inference(forward_subsumption_resolution,[],[f2224,f12]) ).

fof(f2226,plain,
    ( ~ spl0_26
    | ~ spl0_39
    | ~ spl0_50 ),
    inference(avatar_contradiction_clause,[],[f2225]) ).

fof(f2240,plain,
    ( j(op2(e24,e20)) = op1(j(e24),e11)
    | ~ spl0_27 ),
    inference(superposition,[],[f129,f287]) ).

fof(f2243,plain,
    ( op1(e14,e11) = j(op2(e24,e20))
    | ~ spl0_27
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f2240,f383]) ).

fof(f2244,plain,
    ( op1(e14,e11) = j(e22)
    | ~ spl0_27
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f2243,f84]) ).

fof(f2245,plain,
    ( e13 = op1(e14,e11)
    | ~ spl0_27
    | ~ spl0_39
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f2244,f337]) ).

fof(f2246,plain,
    ( e10 = e13
    | ~ spl0_27
    | ~ spl0_39
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f2245,f58]) ).

fof(f2247,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_39
    | ~ spl0_50 ),
    inference(forward_subsumption_resolution,[],[f2246,f17]) ).

fof(f2248,plain,
    ( ~ spl0_27
    | ~ spl0_39
    | ~ spl0_50 ),
    inference(avatar_contradiction_clause,[],[f2247]) ).

fof(f2313,plain,
    ( j(op2(e24,e23)) = op1(j(e24),e10)
    | ~ spl0_41 ),
    inference(superposition,[],[f126,f346]) ).

fof(f2315,plain,
    ( op1(e14,e10) = j(op2(e24,e23))
    | ~ spl0_41
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f2313,f383]) ).

fof(f2316,plain,
    ( op1(e14,e10) = j(e24)
    | ~ spl0_41
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f2315,f81]) ).

fof(f2317,plain,
    ( e14 = op1(e14,e10)
    | ~ spl0_41
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f2316,f383]) ).

fof(f2318,plain,
    ( e12 = e14
    | ~ spl0_41
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f2317,f59]) ).

fof(f2319,plain,
    ( $false
    | ~ spl0_41
    | ~ spl0_50 ),
    inference(forward_subsumption_resolution,[],[f2318,f11]) ).

fof(f2320,plain,
    ( ~ spl0_41
    | ~ spl0_50 ),
    inference(avatar_contradiction_clause,[],[f2319]) ).

fof(f2326,plain,
    ( e11 = e12
    | ~ spl0_12
    | ~ spl0_32 ),
    inference(forward_demodulation,[],[f2177,f308]) ).

fof(f2333,plain,
    ( op1(e11,e10) = j(op2(e24,e23))
    | ~ spl0_41
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2313,f371]) ).

fof(f2346,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_32 ),
    inference(forward_subsumption_resolution,[],[f2326,f15]) ).

fof(f2347,plain,
    ( ~ spl0_12
    | ~ spl0_32 ),
    inference(avatar_contradiction_clause,[],[f2346]) ).

fof(f2352,plain,
    ( op1(e11,e10) = j(e24)
    | ~ spl0_41
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2333,f81]) ).

fof(f2355,plain,
    ( e11 = op1(e11,e10)
    | ~ spl0_41
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2352,f371]) ).

fof(f2356,plain,
    ( e10 = e11
    | ~ spl0_41
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2355,f74]) ).

fof(f2357,plain,
    ( $false
    | ~ spl0_41
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f2356,f19]) ).

fof(f2358,plain,
    ( ~ spl0_41
    | ~ spl0_47 ),
    inference(avatar_contradiction_clause,[],[f2357]) ).

fof(f2396,plain,
    ( j(op2(e24,e21)) = op1(j(e24),e12)
    | ~ spl0_33 ),
    inference(superposition,[],[f128,f312]) ).

fof(f2398,plain,
    ( op1(e11,e12) = j(op2(e24,e21))
    | ~ spl0_33
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2396,f371]) ).

fof(f2399,plain,
    ( op1(e11,e12) = j(e23)
    | ~ spl0_33
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2398,f83]) ).

fof(f2400,plain,
    ( e13 = op1(e11,e12)
    | ~ spl0_33
    | ~ spl0_44
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2399,f358]) ).

fof(f2401,plain,
    ( e11 = e13
    | ~ spl0_33
    | ~ spl0_44
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2400,f72]) ).

fof(f2402,plain,
    ( $false
    | ~ spl0_33
    | ~ spl0_44
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f2401,f14]) ).

fof(f2403,plain,
    ( ~ spl0_33
    | ~ spl0_44
    | ~ spl0_47 ),
    inference(avatar_contradiction_clause,[],[f2402]) ).

fof(f2415,plain,
    ( e11 = j(e21)
    | ~ spl0_7 ),
    inference(superposition,[],[f118,f203]) ).

fof(f2429,plain,
    ( j(op2(e24,e22)) = op1(j(e24),e10)
    | ~ spl0_36 ),
    inference(superposition,[],[f127,f325]) ).

fof(f2443,plain,
    ( op1(e12,e12) = j(op2(e24,e24))
    | ~ spl0_48 ),
    inference(superposition,[],[f125,f375]) ).

fof(f2454,plain,
    ( op1(e12,e12) = j(e20)
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2443,f80]) ).

fof(f2459,plain,
    ( e14 = op1(e12,e12)
    | ~ spl0_30
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2454,f299]) ).

fof(f2464,plain,
    ( e12 = e14
    | ~ spl0_30
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2459,f67]) ).

fof(f2465,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[],[f2464,f11]) ).

fof(f2466,plain,
    ( ~ spl0_30
    | ~ spl0_48 ),
    inference(avatar_contradiction_clause,[],[f2465]) ).

fof(f2471,plain,
    ( e11 = e13
    | ~ spl0_17
    | ~ spl0_32 ),
    inference(forward_demodulation,[],[f1560,f308]) ).

fof(f2480,plain,
    ( op1(e11,e10) = j(op2(e24,e22))
    | ~ spl0_36
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2429,f371]) ).

fof(f2489,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_32 ),
    inference(forward_subsumption_resolution,[],[f2471,f14]) ).

fof(f2490,plain,
    ( ~ spl0_17
    | ~ spl0_32 ),
    inference(avatar_contradiction_clause,[],[f2489]) ).

fof(f2495,plain,
    ( op1(e11,e10) = j(e21)
    | ~ spl0_36
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2480,f82]) ).

fof(f2498,plain,
    ( e11 = op1(e11,e10)
    | ~ spl0_32
    | ~ spl0_36
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2495,f308]) ).

fof(f2499,plain,
    ( e10 = e11
    | ~ spl0_32
    | ~ spl0_36
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2498,f74]) ).

fof(f2500,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_36
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f2499,f19]) ).

fof(f2501,plain,
    ( ~ spl0_32
    | ~ spl0_36
    | ~ spl0_47 ),
    inference(avatar_contradiction_clause,[],[f2500]) ).

fof(f2502,plain,
    ( e13 = op1(e11,e10)
    | ~ spl0_34
    | ~ spl0_36
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2495,f316]) ).

fof(f2504,plain,
    ( e10 = e13
    | ~ spl0_34
    | ~ spl0_36
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2502,f74]) ).

fof(f2505,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_36
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f2504,f17]) ).

fof(f2506,plain,
    ( ~ spl0_34
    | ~ spl0_36
    | ~ spl0_47 ),
    inference(avatar_contradiction_clause,[],[f2505]) ).

fof(f2511,plain,
    ( op1(e14,e10) = j(op2(e24,e22))
    | ~ spl0_36
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f2429,f383]) ).

fof(f2513,plain,
    ( op1(e14,e10) = j(e21)
    | ~ spl0_36
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f2511,f82]) ).

fof(f2514,plain,
    ( e13 = op1(e14,e10)
    | ~ spl0_34
    | ~ spl0_36
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f2513,f316]) ).

fof(f2515,plain,
    ( e12 = e13
    | ~ spl0_34
    | ~ spl0_36
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f2514,f59]) ).

fof(f2516,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_36
    | ~ spl0_50 ),
    inference(forward_subsumption_resolution,[],[f2515,f12]) ).

fof(f2517,plain,
    ( ~ spl0_34
    | ~ spl0_36
    | ~ spl0_50 ),
    inference(avatar_contradiction_clause,[],[f2516]) ).

fof(f2546,plain,
    ( j(op2(e24,e20)) = op1(j(e24),e10)
    | ~ spl0_26 ),
    inference(superposition,[],[f129,f283]) ).

fof(f2549,plain,
    ( op1(e11,e10) = j(op2(e24,e20))
    | ~ spl0_26
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2546,f371]) ).

fof(f2550,plain,
    ( op1(e11,e10) = j(e22)
    | ~ spl0_26
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2549,f84]) ).

fof(f2551,plain,
    ( e14 = op1(e11,e10)
    | ~ spl0_26
    | ~ spl0_40
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2550,f341]) ).

fof(f2552,plain,
    ( e10 = e14
    | ~ spl0_26
    | ~ spl0_40
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2551,f74]) ).

fof(f2553,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_40
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f2552,f16]) ).

fof(f2554,plain,
    ( ~ spl0_26
    | ~ spl0_40
    | ~ spl0_47 ),
    inference(avatar_contradiction_clause,[],[f2553]) ).

fof(f2561,plain,
    ( e12 = op1(e11,e10)
    | ~ spl0_26
    | ~ spl0_38
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2550,f333]) ).

fof(f2564,plain,
    ( e10 = e12
    | ~ spl0_26
    | ~ spl0_38
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2561,f74]) ).

fof(f2565,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_38
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f2564,f18]) ).

fof(f2566,plain,
    ( ~ spl0_26
    | ~ spl0_38
    | ~ spl0_47 ),
    inference(avatar_contradiction_clause,[],[f2565]) ).

fof(f2601,plain,
    ( j(op2(e24,e21)) = op1(j(e24),e12)
    | ~ spl0_33 ),
    inference(superposition,[],[f128,f312]) ).

fof(f2603,plain,
    ( op1(e11,e12) = j(op2(e24,e21))
    | ~ spl0_33
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2601,f371]) ).

fof(f2604,plain,
    ( op1(e11,e12) = j(e23)
    | ~ spl0_33
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2603,f83]) ).

fof(f2605,plain,
    ( e14 = op1(e11,e12)
    | ~ spl0_33
    | ~ spl0_45
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2604,f362]) ).

fof(f2606,plain,
    ( e11 = e14
    | ~ spl0_33
    | ~ spl0_45
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2605,f72]) ).

fof(f2607,plain,
    ( $false
    | ~ spl0_33
    | ~ spl0_45
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f2606,f13]) ).

fof(f2608,plain,
    ( ~ spl0_33
    | ~ spl0_45
    | ~ spl0_47 ),
    inference(avatar_contradiction_clause,[],[f2607]) ).

fof(f2626,plain,
    ( j(op2(e24,e21)) = op1(j(e24),e10)
    | ~ spl0_31 ),
    inference(superposition,[],[f128,f304]) ).

fof(f2628,plain,
    ( op1(e11,e10) = j(op2(e24,e21))
    | ~ spl0_31
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2626,f371]) ).

fof(f2629,plain,
    ( op1(e11,e10) = j(e23)
    | ~ spl0_31
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2628,f83]) ).

fof(f2630,plain,
    ( e14 = op1(e11,e10)
    | ~ spl0_31
    | ~ spl0_45
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2629,f362]) ).

fof(f2631,plain,
    ( e10 = e14
    | ~ spl0_31
    | ~ spl0_45
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2630,f74]) ).

fof(f2632,plain,
    ( $false
    | ~ spl0_31
    | ~ spl0_45
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f2631,f16]) ).

fof(f2633,plain,
    ( ~ spl0_31
    | ~ spl0_45
    | ~ spl0_47 ),
    inference(avatar_contradiction_clause,[],[f2632]) ).

fof(f2638,plain,
    ( e13 = op1(e11,e10)
    | ~ spl0_31
    | ~ spl0_44
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2629,f358]) ).

fof(f2647,plain,
    ( e10 = e13
    | ~ spl0_31
    | ~ spl0_44
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2638,f74]) ).

fof(f2648,plain,
    ( $false
    | ~ spl0_31
    | ~ spl0_44
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f2647,f17]) ).

fof(f2649,plain,
    ( ~ spl0_31
    | ~ spl0_44
    | ~ spl0_47 ),
    inference(avatar_contradiction_clause,[],[f2648]) ).

fof(f2653,plain,
    ( e12 = op1(e11,e10)
    | ~ spl0_31
    | ~ spl0_43
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2629,f354]) ).

fof(f2660,plain,
    ( e10 = e12
    | ~ spl0_31
    | ~ spl0_43
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2653,f74]) ).

fof(f2661,plain,
    ( $false
    | ~ spl0_31
    | ~ spl0_43
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f2660,f18]) ).

fof(f2662,plain,
    ( ~ spl0_31
    | ~ spl0_43
    | ~ spl0_47 ),
    inference(avatar_contradiction_clause,[],[f2661]) ).

fof(f2668,plain,
    ( e10 = e11
    | ~ spl0_7
    | ~ spl0_31 ),
    inference(forward_demodulation,[],[f2415,f304]) ).

fof(f2697,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[],[f2668,f19]) ).

fof(f2698,plain,
    ( ~ spl0_7
    | ~ spl0_31 ),
    inference(avatar_contradiction_clause,[],[f2697]) ).

fof(f2728,plain,
    ( j(op2(e24,e20)) = op1(j(e24),e12)
    | ~ spl0_28 ),
    inference(superposition,[],[f129,f291]) ).

fof(f2730,plain,
    ( op1(e13,e12) = j(op2(e24,e20))
    | ~ spl0_28
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f2728,f379]) ).

fof(f2731,plain,
    ( op1(e13,e12) = j(e22)
    | ~ spl0_28
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f2730,f84]) ).

fof(f2732,plain,
    ( e14 = op1(e13,e12)
    | ~ spl0_28
    | ~ spl0_40
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f2731,f341]) ).

fof(f2733,plain,
    ( e13 = e14
    | ~ spl0_28
    | ~ spl0_40
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f2732,f62]) ).

fof(f2734,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_40
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[],[f2733,f10]) ).

fof(f2735,plain,
    ( ~ spl0_28
    | ~ spl0_40
    | ~ spl0_49 ),
    inference(avatar_contradiction_clause,[],[f2734]) ).

fof(f2759,plain,
    ( j(op2(e24,e20)) = op1(j(e24),e10)
    | ~ spl0_26 ),
    inference(superposition,[],[f129,f283]) ).

fof(f2760,plain,
    ( op1(e12,e10) = j(op2(e24,e20))
    | ~ spl0_26
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2759,f375]) ).

fof(f2761,plain,
    ( op1(e12,e10) = j(e22)
    | ~ spl0_26
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2760,f84]) ).

fof(f2762,plain,
    ( e14 = op1(e12,e10)
    | ~ spl0_26
    | ~ spl0_40
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2761,f341]) ).

fof(f2763,plain,
    ( e11 = e14
    | ~ spl0_26
    | ~ spl0_40
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2762,f69]) ).

fof(f2764,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_40
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[],[f2763,f13]) ).

fof(f2765,plain,
    ( ~ spl0_26
    | ~ spl0_40
    | ~ spl0_48 ),
    inference(avatar_contradiction_clause,[],[f2764]) ).

fof(f2798,plain,
    ( j(op2(e24,e23)) = op1(j(e24),e11)
    | ~ spl0_42 ),
    inference(superposition,[],[f126,f350]) ).

fof(f2800,plain,
    ( op1(e13,e11) = j(op2(e24,e23))
    | ~ spl0_42
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f2798,f379]) ).

fof(f2801,plain,
    ( op1(e13,e11) = j(e24)
    | ~ spl0_42
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f2800,f81]) ).

fof(f2802,plain,
    ( e13 = op1(e13,e11)
    | ~ spl0_42
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f2801,f379]) ).

fof(f2803,plain,
    ( e11 = e13
    | ~ spl0_42
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f2802,f63]) ).

fof(f2804,plain,
    ( $false
    | ~ spl0_42
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[],[f2803,f14]) ).

fof(f2805,plain,
    ( ~ spl0_42
    | ~ spl0_49 ),
    inference(avatar_contradiction_clause,[],[f2804]) ).

fof(f2823,plain,
    ( j(op2(e24,e21)) = op1(j(e24),e11)
    | ~ spl0_32 ),
    inference(superposition,[],[f128,f308]) ).

fof(f2825,plain,
    ( op1(e13,e11) = j(op2(e24,e21))
    | ~ spl0_32
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f2823,f379]) ).

fof(f2826,plain,
    ( op1(e13,e11) = j(e23)
    | ~ spl0_32
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f2825,f83]) ).

fof(f2827,plain,
    ( e12 = op1(e13,e11)
    | ~ spl0_32
    | ~ spl0_43
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f2826,f354]) ).

fof(f2828,plain,
    ( e11 = e12
    | ~ spl0_32
    | ~ spl0_43
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f2827,f63]) ).

fof(f2829,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_43
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[],[f2828,f15]) ).

fof(f2830,plain,
    ( ~ spl0_32
    | ~ spl0_43
    | ~ spl0_49 ),
    inference(avatar_contradiction_clause,[],[f2829]) ).

fof(f2837,plain,
    ( op1(e12,e10) = j(op2(e24,e20))
    | ~ spl0_26
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2759,f375]) ).

fof(f2847,plain,
    ( op1(e12,e10) = j(e22)
    | ~ spl0_26
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2837,f84]) ).

fof(f2848,plain,
    ( e13 = op1(e12,e10)
    | ~ spl0_26
    | ~ spl0_39
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2847,f337]) ).

fof(f2849,plain,
    ( e11 = e13
    | ~ spl0_26
    | ~ spl0_39
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2848,f69]) ).

fof(f2850,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_39
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[],[f2849,f14]) ).

fof(f2851,plain,
    ( ~ spl0_26
    | ~ spl0_39
    | ~ spl0_48 ),
    inference(avatar_contradiction_clause,[],[f2850]) ).

fof(f2884,plain,
    ( j(op2(e24,e20)) = op1(j(e24),e12)
    | ~ spl0_28 ),
    inference(superposition,[],[f129,f291]) ).

fof(f2886,plain,
    ( op1(e10,e12) = j(op2(e24,e20))
    | ~ spl0_28
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f2884,f367]) ).

fof(f2887,plain,
    ( op1(e10,e12) = j(e22)
    | ~ spl0_28
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f2886,f84]) ).

fof(f2888,plain,
    ( e14 = op1(e10,e12)
    | ~ spl0_28
    | ~ spl0_40
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f2887,f341]) ).

fof(f2889,plain,
    ( e10 = e14
    | ~ spl0_28
    | ~ spl0_40
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f2888,f77]) ).

fof(f2890,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_40
    | ~ spl0_46 ),
    inference(forward_subsumption_resolution,[],[f2889,f16]) ).

fof(f2891,plain,
    ( ~ spl0_28
    | ~ spl0_40
    | ~ spl0_46 ),
    inference(avatar_contradiction_clause,[],[f2890]) ).

fof(f2909,plain,
    ( j(op2(e24,e20)) = op1(j(e24),e11)
    | ~ spl0_27 ),
    inference(superposition,[],[f129,f287]) ).

fof(f2911,plain,
    ( op1(e10,e11) = j(op2(e24,e20))
    | ~ spl0_27
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f2909,f367]) ).

fof(f2912,plain,
    ( op1(e10,e11) = j(e22)
    | ~ spl0_27
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f2911,f84]) ).

fof(f2913,plain,
    ( e14 = op1(e10,e11)
    | ~ spl0_27
    | ~ spl0_40
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f2912,f341]) ).

fof(f2914,plain,
    ( e12 = e14
    | ~ spl0_27
    | ~ spl0_40
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f2913,f78]) ).

fof(f2915,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_40
    | ~ spl0_46 ),
    inference(forward_subsumption_resolution,[],[f2914,f11]) ).

fof(f2916,plain,
    ( ~ spl0_27
    | ~ spl0_40
    | ~ spl0_46 ),
    inference(avatar_contradiction_clause,[],[f2915]) ).

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

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

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

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

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

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

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

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

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

cnf(s22,plain,
    ( ~ spl0_20
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f453]) ).

cnf(s24,plain,
    ( ~ spl0_29
    | ~ spl0_30 ),
    inference(sat_conversion,[],[f464]) ).

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

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

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(s41,plain,
    ( ~ spl0_8
    | ~ spl0_36 ),
    inference(sat_conversion,[],[f544]) ).

cnf(s45,plain,
    ( ~ spl0_35
    | ~ spl0_37
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f582]) ).

cnf(s47,plain,
    ( ~ spl0_35
    | ~ spl0_39
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f590]) ).

cnf(s49,plain,
    ( ~ spl0_35
    | ~ spl0_38
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f600]) ).

cnf(s50,plain,
    ( ~ spl0_4
    | spl0_41 ),
    inference(sat_conversion,[],[f601]) ).

cnf(s52,plain,
    ( spl0_14
    | ~ spl0_43 ),
    inference(sat_conversion,[],[f613]) ).

cnf(s54,plain,
    ( ~ spl0_32
    | ~ spl0_35 ),
    inference(sat_conversion,[],[f631]) ).

cnf(s55,plain,
    ( ~ spl0_10
    | spl0_47 ),
    inference(sat_conversion,[],[f632]) ).

cnf(s56,plain,
    ( ~ spl0_6
    | spl0_27 ),
    inference(sat_conversion,[],[f636]) ).

cnf(s58,plain,
    ( ~ spl0_27
    | ~ spl0_29 ),
    inference(sat_conversion,[],[f648]) ).

cnf(s59,plain,
    ( ~ spl0_9
    | ~ spl0_41 ),
    inference(sat_conversion,[],[f655]) ).

cnf(s63,plain,
    ( ~ spl0_35
    | ~ spl0_36
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f675]) ).

cnf(s65,plain,
    ( ~ spl0_35
    | ~ spl0_36
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f685]) ).

cnf(s66,plain,
    ( ~ spl0_15
    | spl0_48 ),
    inference(sat_conversion,[],[f687]) ).

cnf(s68,plain,
    ( ~ spl0_12
    | spl0_33 ),
    inference(sat_conversion,[],[f700]) ).

cnf(s70,plain,
    ( ~ spl0_28
    | ~ spl0_29 ),
    inference(sat_conversion,[],[f710]) ).

cnf(s72,plain,
    ( ~ spl0_14
    | ~ spl0_42 ),
    inference(sat_conversion,[],[f719]) ).

cnf(s76,plain,
    ( ~ spl0_8
    | spl0_37 ),
    inference(sat_conversion,[],[f722]) ).

cnf(s77,plain,
    ( ~ spl0_13
    | spl0_38 ),
    inference(sat_conversion,[],[f724]) ).

cnf(s79,plain,
    ( ~ spl0_35
    | ~ spl0_37
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f753]) ).

cnf(s80,plain,
    ( ~ spl0_35
    | ~ spl0_37
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f760]) ).

cnf(s83,plain,
    ( ~ spl0_17
    | spl0_34 ),
    inference(sat_conversion,[],[f762]) ).

cnf(s84,plain,
    ( ~ spl0_35
    | ~ spl0_37
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f776]) ).

cnf(s86,plain,
    ( ~ spl0_34
    | ~ spl0_35 ),
    inference(sat_conversion,[],[f797]) ).

cnf(s87,plain,
    ( ~ spl0_18
    | ~ spl0_37 ),
    inference(sat_conversion,[],[f802]) ).

cnf(s88,plain,
    ( ~ spl0_20
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f805]) ).

cnf(s89,plain,
    ( ~ spl0_2
    | spl0_31 ),
    inference(sat_conversion,[],[f806]) ).

cnf(s90,plain,
    ( ~ spl0_19
    | spl0_44 ),
    inference(sat_conversion,[],[f808]) ).

cnf(s91,plain,
    ( spl0_22
    | ~ spl0_35 ),
    inference(sat_conversion,[],[f815]) ).

cnf(s92,plain,
    ( ~ spl0_23
    | ~ spl0_37 ),
    inference(sat_conversion,[],[f818]) ).

cnf(s93,plain,
    ( ~ spl0_1
    | spl0_26 ),
    inference(sat_conversion,[],[f819]) ).

cnf(s95,plain,
    ( ~ spl0_26
    | ~ spl0_28 ),
    inference(sat_conversion,[],[f841]) ).

cnf(s102,plain,
    ( ~ spl0_25
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f872]) ).

cnf(s103,plain,
    ( ~ spl0_44
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f897]) ).

cnf(s105,plain,
    ( ~ spl0_25
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f907]) ).

cnf(s108,plain,
    ( ~ spl0_21
    | ~ spl0_28 ),
    inference(sat_conversion,[],[f926]) ).

cnf(s114,plain,
    ( ~ spl0_25
    | spl0_50 ),
    inference(sat_conversion,[],[f960]) ).

cnf(s116,plain,
    ( ~ spl0_24
    | spl0_45 ),
    inference(sat_conversion,[],[f971]) ).

cnf(s118,plain,
    ( ~ spl0_20
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f977]) ).

cnf(s119,plain,
    ( ~ spl0_45
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f999]) ).

cnf(s120,plain,
    ( ~ spl0_20
    | spl0_49 ),
    inference(sat_conversion,[],[f1002]) ).

cnf(s122,plain,
    ( ~ spl0_45
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f1012]) ).

cnf(s123,plain,
    ( ~ spl0_3
    | spl0_36 ),
    inference(sat_conversion,[],[f1013]) ).

cnf(s128,plain,
    ( spl0_8
    | ~ spl0_37 ),
    inference(sat_conversion,[],[f1024]) ).

cnf(s129,plain,
    ( ~ spl0_5
    | spl0_46 ),
    inference(sat_conversion,[],[f1031]) ).

cnf(s130,plain,
    ( ~ spl0_34
    | ~ spl0_37
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f1046]) ).

cnf(s136,plain,
    ( ~ spl0_34
    | ~ spl0_37
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f1058]) ).

cnf(s137,plain,
    ( ~ spl0_12
    | spl0_33 ),
    inference(sat_conversion,[],[f1059]) ).

cnf(s144,plain,
    ( ~ spl0_41
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f1118]) ).

cnf(s147,plain,
    ( ~ spl0_20
    | spl0_49 ),
    inference(sat_conversion,[],[f1120]) ).

cnf(s155,plain,
    ( ~ spl0_31
    | ~ spl0_33 ),
    inference(sat_conversion,[],[f1163]) ).

cnf(s157,plain,
    ( ~ spl0_30
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f1196]) ).

cnf(s174,plain,
    ( ~ spl0_42
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f1255]) ).

cnf(s175,plain,
    ( ~ spl0_14
    | spl0_43 ),
    inference(sat_conversion,[],[f1256]) ).

cnf(s178,plain,
    ( ~ spl0_14
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f1287]) ).

cnf(s179,plain,
    ( ~ spl0_29
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f1295]) ).

cnf(s181,plain,
    ( ~ spl0_29
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f1315]) ).

cnf(s187,plain,
    ( ~ spl0_19
    | ~ spl0_43 ),
    inference(sat_conversion,[],[f1338]) ).

cnf(s189,plain,
    ( ~ spl0_19
    | ~ spl0_43 ),
    inference(sat_conversion,[],[f1342]) ).

cnf(s200,plain,
    ( ~ spl0_24
    | ~ spl0_43 ),
    inference(sat_conversion,[],[f1372]) ).

cnf(s211,plain,
    ( ~ spl0_33
    | ~ spl0_45
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f1440]) ).

cnf(s226,plain,
    ( ~ spl0_31
    | ~ spl0_44
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f1484]) ).

cnf(s231,plain,
    ( ~ spl0_30
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f1532]) ).

cnf(s246,plain,
    ( ~ spl0_45
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f1583]) ).

cnf(s253,plain,
    ( ~ spl0_18
    | spl0_39 ),
    inference(sat_conversion,[],[f1585]) ).

cnf(s263,plain,
    ( ~ spl0_38
    | ~ spl0_39 ),
    inference(sat_conversion,[],[f1621]) ).

cnf(s274,plain,
    ( ~ spl0_27
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f1697]) ).

cnf(s282,plain,
    ( ~ spl0_11
    | ~ spl0_27 ),
    inference(sat_conversion,[],[f1722]) ).

cnf(s287,plain,
    ( ~ spl0_35
    | ~ spl0_36
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f1737]) ).

cnf(s294,plain,
    ( ~ spl0_22
    | ~ spl0_40 ),
    inference(sat_conversion,[],[f1769]) ).

cnf(s299,plain,
    ( ~ spl0_35
    | ~ spl0_38
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f1804]) ).

cnf(s302,plain,
    ( ~ spl0_35
    | ~ spl0_38
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f1821]) ).

cnf(s313,plain,
    ( ~ spl0_23
    | ~ spl0_38 ),
    inference(sat_conversion,[],[f1843]) ).

cnf(s331,plain,
    ( spl0_17
    | ~ spl0_34 ),
    inference(sat_conversion,[],[f1868]) ).

cnf(s332,plain,
    ( ~ spl0_34
    | ~ spl0_38
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f1875]) ).

cnf(s333,plain,
    ( spl0_2
    | ~ spl0_31 ),
    inference(sat_conversion,[],[f1876]) ).

cnf(s342,plain,
    ( ~ spl0_23
    | spl0_40 ),
    inference(sat_conversion,[],[f1887]) ).

cnf(s343,plain,
    ( spl0_7
    | ~ spl0_32 ),
    inference(sat_conversion,[],[f1891]) ).

cnf(s348,plain,
    ( ~ spl0_19
    | ~ spl0_42 ),
    inference(sat_conversion,[],[f1912]) ).

cnf(s355,plain,
    ( ~ spl0_39
    | ~ spl0_40 ),
    inference(sat_conversion,[],[f1920]) ).

cnf(s356,plain,
    ( ~ spl0_32
    | ~ spl0_44
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f1948]) ).

cnf(s372,plain,
    ( ~ spl0_33
    | ~ spl0_42
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f1986]) ).

cnf(s398,plain,
    ( ~ spl0_42
    | ~ spl0_45 ),
    inference(sat_conversion,[],[f2033]) ).

cnf(s401,plain,
    ( ~ spl0_2
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f2039]) ).

cnf(s410,plain,
    ( ~ spl0_29
    | ~ spl0_40
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f2125]) ).

cnf(s424,plain,
    ( ~ spl0_32
    | ~ spl0_45
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f2151]) ).

cnf(s436,plain,
    ( ~ spl0_26
    | ~ spl0_39
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f2193]) ).

cnf(s449,plain,
    ( ~ spl0_6
    | ~ spl0_26 ),
    inference(sat_conversion,[],[f2217]) ).

cnf(s451,plain,
    ( ~ spl0_1
    | ~ spl0_41 ),
    inference(sat_conversion,[],[f2221]) ).

cnf(s452,plain,
    ( ~ spl0_26
    | ~ spl0_39
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f2226]) ).

cnf(s457,plain,
    ( ~ spl0_27
    | ~ spl0_39
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f2248]) ).

cnf(s473,plain,
    ( ~ spl0_41
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f2320]) ).

cnf(s483,plain,
    ( ~ spl0_12
    | ~ spl0_32 ),
    inference(sat_conversion,[],[f2347]) ).

cnf(s485,plain,
    ( ~ spl0_41
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f2358]) ).

cnf(s500,plain,
    ( ~ spl0_33
    | ~ spl0_44
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f2403]) ).

cnf(s512,plain,
    ( ~ spl0_30
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f2466]) ).

cnf(s521,plain,
    ( ~ spl0_17
    | ~ spl0_32 ),
    inference(sat_conversion,[],[f2490]) ).

cnf(s523,plain,
    ( ~ spl0_32
    | ~ spl0_36
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f2501]) ).

cnf(s528,plain,
    ( ~ spl0_34
    | ~ spl0_36
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f2506]) ).

cnf(s538,plain,
    ( ~ spl0_34
    | ~ spl0_36
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f2517]) ).

cnf(s550,plain,
    ( ~ spl0_26
    | ~ spl0_40
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f2554]) ).

cnf(s559,plain,
    ( ~ spl0_26
    | ~ spl0_38
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f2566]) ).

cnf(s575,plain,
    ( ~ spl0_33
    | ~ spl0_45
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f2608]) ).

cnf(s583,plain,
    ( ~ spl0_31
    | ~ spl0_45
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f2633]) ).

cnf(s602,plain,
    ( ~ spl0_31
    | ~ spl0_44
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f2649]) ).

cnf(s615,plain,
    ( ~ spl0_31
    | ~ spl0_43
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f2662]) ).

cnf(s630,plain,
    ( ~ spl0_7
    | ~ spl0_31 ),
    inference(sat_conversion,[],[f2698]) ).

cnf(s642,plain,
    ( ~ spl0_28
    | ~ spl0_40
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f2735]) ).

cnf(s661,plain,
    ( ~ spl0_26
    | ~ spl0_40
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f2765]) ).

cnf(s675,plain,
    ( ~ spl0_42
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f2805]) ).

cnf(s688,plain,
    ( ~ spl0_32
    | ~ spl0_43
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f2830]) ).

cnf(s707,plain,
    ( ~ spl0_26
    | ~ spl0_39
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f2851]) ).

cnf(s733,plain,
    ( ~ spl0_28
    | ~ spl0_40
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f2891]) ).

cnf(s746,plain,
    ( ~ spl0_27
    | ~ spl0_40
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f2916]) ).

cnf(s747,plain,
    ( spl0_17
    | spl0_16
    | ~ spl0_42
    | spl0_32
    | ~ spl0_46
    | spl0_31 ),
    inference(rat,[],[s47,s253,s7,s4,s331,s22,s372,s348]) ).

cnf(s748,plain,
    ( ~ spl0_48
    | spl0_28
    | ~ spl0_42
    | spl0_32
    | ~ spl0_46
    | spl0_31 ),
    inference(rat,[],[s6,s661,s746,s342,s5,s26,s86,s83,s747,s18,s179,s15,s16,s157,s116,s398]) ).

cnf(s749,plain,
    ( ~ spl0_38
    | spl0_33
    | spl0_32
    | ~ spl0_46
    | spl0_31 ),
    inference(rat,[],[s7,s49,s332]) ).

cnf(s750,plain,
    ( ~ spl0_35
    | spl0_38
    | spl0_37
    | ~ spl0_46 ),
    inference(rat,[],[s8,s294,s47,s91,s287]) ).

cnf(s751,plain,
    ( spl0_8
    | spl0_7
    | spl0_6
    | ~ spl0_46
    | spl0_31 ),
    inference(rat,[],[s66,s3,s748,s28,s733,s342,s5,s26,s750,s77,s749,s137,s116,s72,s372,s398,s39,s2,s128,s32,s15,s16,s157,s343]) ).

cnf(s752,plain,
    ( spl0_7
    | spl0_6
    | ~ spl0_46
    | spl0_31 ),
    inference(rat,[],[s116,s211,s5,s7,s26,s45,s130,s92,s76,s751,s343,s15,s16,s157]) ).

cnf(s753,plain,
    ( ~ spl0_32
    | ~ spl0_46 ),
    inference(rat,[],[s4,s253,s18,s355,s410,s342,s5,s26,s90,s116,s54,s356,s424,s521,s22,s15,s16,s157]) ).

cnf(s754,plain,
    ( ~ spl0_35
    | ~ spl0_46 ),
    inference(rat,[],[s750,s45,s49]) ).

cnf(s755,plain,
    ( ~ spl0_46
    | spl0_31 ),
    inference(rat,[],[s77,s3,s749,s137,s66,s211,s246,s175,s116,s200,s5,s26,s754,s342,s282,s746,s56,s752,s40,s753,s16,s15,s157]) ).

cnf(s756,plain,
    ( ~ spl0_35
    | ~ spl0_49
    | spl0_10
    | spl0_9 ),
    inference(rat,[],[s2,s40,s76,s54,s79,s56,s274]) ).

cnf(s757,plain,
    ( ~ spl0_41
    | spl0_46 ),
    inference(rat,[],[s40,s483,s2,s3,s28,s76,s77,s642,s92,s313,s342,s5,s26,s756,s16,s56,s231,s274,s10,s66,s114,s55,s14,s30,s59,s144,s473,s485]) ).

cnf(s758,plain,
    ( ~ spl0_42
    | spl0_48
    | spl0_47
    | spl0_46 ),
    inference(rat,[],[s10,s174,s675]) ).

cnf(s759,plain,
    ( ~ spl0_35
    | ~ spl0_36
    | spl0_46 ),
    inference(rat,[],[s4,s90,s18,s103,s181,s10,s147,s756,s39,s758,s55,s83,s63,s65,s86,s20]) ).

cnf(s760,plain,
    ( ~ spl0_48
    | spl0_22
    | spl0_23
    | spl0_41 ),
    inference(rat,[],[s9,s103,s174,s114,s5,s52,s116,s16,s178,s246,s512]) ).

cnf(s761,plain,
    ( ~ spl0_42
    | ~ spl0_36
    | spl0_46 ),
    inference(rat,[],[s18,s25,s4,s16,s83,s5,s528,s114,s116,s147,s758,s174,s348,s398,s675,s20,s760,s26,s759,s13,s757]) ).

cnf(s762,plain,
    ( ~ spl0_47
    | spl0_32
    | ~ spl0_36
    | spl0_31 ),
    inference(rat,[],[s24,s18,s16,s4,s5,s90,s116,s500,s575,s7,s83,s528,s88,s102,s20,s13,s26,s759,s755]) ).

cnf(s763,plain,
    ( spl0_7
    | ~ spl0_36
    | spl0_31 ),
    inference(rat,[],[s4,s83,s90,s538,s103,s18,s10,s147,s58,s274,s56,s2,s55,s762,s343,s41,s20,s760,s26,s759,s13,s757,s39,s761,s755]) ).

cnf(s764,plain,
    ( ~ spl0_25
    | spl0_17
    | spl0_18 ),
    inference(rat,[],[s4,s90,s18,s147,s103,s181,s105,s114]) ).

cnf(s765,plain,
    ( ~ spl0_45
    | spl0_47
    | spl0_48
    | spl0_46 ),
    inference(rat,[],[s10,s119,s122]) ).

cnf(s766,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s187,s4,s175,s18,s147,s3,s25,s231,s28,s16,s108,s5,s116,s765,s764,s483,s521,s523,s40,s763,s66,s760,s26,s759,s13,s20,s29,s123,s1,s50,s757,s129,s755,s333]) ).

cnf(s767,plain,
    ( ~ spl0_48
    | ~ spl0_2 ),
    inference(rat,[],[s253,s355,s4,s342,s90,s18,s760,s226,s118,s179,s757,s401,s19,s12,s89]) ).

cnf(s768,plain,
    ( ~ spl0_25
    | ~ spl0_31 ),
    inference(rat,[],[s2,s56,s76,s457,s39,s87,s253,s55,s174,s764,s102,s114,s630,s19]) ).

cnf(s769,plain,
    ( ~ spl0_45
    | ~ spl0_2 ),
    inference(rat,[],[s765,s583,s401,s89,s767]) ).

cnf(s770,plain,
    ( spl0_47
    | ~ spl0_30
    | ~ spl0_2 ),
    inference(rat,[],[s87,s4,s76,s90,s2,s103,s39,s10,s758,s55,s401,s630,s19,s89,s767,s147,s231,s18,s25,s56,s17]) ).

cnf(s771,plain,
    ( ~ spl0_21
    | ~ spl0_2 ),
    inference(rat,[],[s263,s253,s77,s4,s3,s90,s175,s602,s615,s770,s18,s147,s25,s231,s28,s16,s108,s19,s137,s155,s89,s66,s767]) ).

cnf(s772,plain,
    ( ~ spl0_27
    | ~ spl0_2 ),
    inference(rat,[],[s187,s4,s175,s18,s147,s3,s58,s274,s282,s19,s137,s155,s66,s767,s77,s313,s253,s355,s342,s5,s771,s116,s769,s768,s12,s89]) ).

cnf(s773,plain,
    ( spl0_47
    | ~ spl0_2 ),
    inference(rat,[],[s39,s2,s758,s55,s401,s630,s767,s76,s92,s5,s771,s116,s769,s768,s12,s89,s56,s772]) ).

cnf(s774,plain,
    ~ spl0_2,
    inference(rat,[],[s70,s18,s28,s4,s3,s90,s175,s602,s615,s88,s773,s253,s77,s355,s313,s342,s5,s771,s116,s769,s768,s66,s767,s137,s12,s19,s155,s89]) ).

cnf(s775,plain,
    ~ spl0_31,
    inference(rat,[],[s333,s774]) ).

cnf(s776,plain,
    spl0_1,
    inference(rat,[],[s766,s774]) ).

cnf(s777,plain,
    ~ spl0_46,
    inference(rat,[],[s755,s775]) ).

cnf(s778,plain,
    ~ spl0_41,
    inference(rat,[],[s451,s776]) ).

cnf(s780,plain,
    spl0_26,
    inference(rat,[],[s93,s776]) ).

cnf(s783,plain,
    ~ spl0_6,
    inference(rat,[],[s449,s780]) ).

cnf(s784,plain,
    ~ spl0_28,
    inference(rat,[],[s95,s780]) ).

cnf(s785,plain,
    ~ spl0_29,
    inference(rat,[],[s36,s780]) ).

cnf(s786,plain,
    ~ spl0_21,
    inference(rat,[],[s11,s780]) ).

cnf(s787,plain,
    ~ spl0_11,
    inference(rat,[],[s28,s784]) ).

cnf(s788,plain,
    ~ spl0_16,
    inference(rat,[],[s18,s785]) ).

cnf(s790,plain,
    ( ~ spl0_48
    | ~ spl0_22
    | spl0_36 ),
    inference(rat,[],[s8,s707,s302,s80,s294,s26,s780]) ).

cnf(s791,plain,
    ( spl0_47
    | ~ spl0_22
    | spl0_7 ),
    inference(rat,[],[s84,s10,s76,s756,s2,s39,s758,s55,s26,s790,s763,s777,s783,s775]) ).

cnf(s792,plain,
    ( ~ spl0_22
    | spl0_7 ),
    inference(rat,[],[s187,s175,s4,s3,s253,s77,s436,s299,s88,s791,s66,s790,s137,s83,s27,s86,s26,s763,s788,s787,s780,s775]) ).

cnf(s793,plain,
    ( ~ spl0_48
    | spl0_22 ),
    inference(rat,[],[s342,s661,s760,s778,s780]) ).

cnf(s794,plain,
    ( spl0_47
    | spl0_7 ),
    inference(rat,[],[s83,s136,s764,s114,s5,s87,s92,s76,s2,s116,s39,s765,s758,s55,s793,s792,s786,s783,s777]) ).

cnf(s795,plain,
    spl0_7,
    inference(rat,[],[s68,s3,s575,s175,s116,s200,s5,s77,s342,s559,s550,s102,s794,s66,s793,s792,s787,s786,s780]) ).

cnf(s796,plain,
    spl0_32,
    inference(rat,[],[s40,s795]) ).

cnf(s798,plain,
    ~ spl0_17,
    inference(rat,[],[s521,s796]) ).

cnf(s800,plain,
    ~ spl0_12,
    inference(rat,[],[s483,s796]) ).

cnf(s801,plain,
    ~ spl0_35,
    inference(rat,[],[s54,s796]) ).

cnf(s802,plain,
    ~ spl0_22,
    inference(rat,[],[s26,s801]) ).

cnf(s803,plain,
    ~ spl0_48,
    inference(rat,[],[s793,s802]) ).

cnf(s804,plain,
    ~ spl0_15,
    inference(rat,[],[s66,s803]) ).

cnf(s805,plain,
    ~ spl0_25,
    inference(rat,[],[s253,s452,s764,s114,s780,s798]) ).

cnf(s806,plain,
    ~ spl0_23,
    inference(rat,[],[s120,s4,s688,s189,s175,s3,s253,s77,s355,s313,s342,s798,s788,s796,s804,s800,s787]) ).

cnf(s808,plain,
    spl0_24,
    inference(rat,[],[s5,s802,s805,s786,s806]) ).

cnf(s809,plain,
    ~ spl0_43,
    inference(rat,[],[s200,s808]) ).

cnf(s810,plain,
    spl0_45,
    inference(rat,[],[s116,s808]) ).

cnf(s812,plain,
    ~ spl0_14,
    inference(rat,[],[s175,s809]) ).

cnf(s816,plain,
    spl0_47,
    inference(rat,[],[s765,s777,s803,s810]) ).

cnf(s818,plain,
    spl0_13,
    inference(rat,[],[s3,s787,s800,s804,s812]) ).

cnf(s822,plain,
    ~ spl0_38,
    inference(rat,[],[s559,s780,s816]) ).

cnf(s825,plain,
    $false,
    inference(rat,[],[s77,s822,s818]) ).

fof(f2917,plain,
    $false,
    inference(avatar_sat_refutation,[],[s825]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ALG180+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19  % Computer : n005.cluster.edu
% 0.08/0.19  % Model    : x86_64 x86_64
% 0.08/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19  % Memory   : 8046.5625MB
% 0.08/0.19  % OS       : Linux 6.8.0-71-generic
% 0.08/0.19  % CPULimit : 300
% 0.08/0.19  % WCLimit  : 300
% 0.08/0.19  % DateTime : Mon Sep 28 19:38:46 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23  Running first-order model finding
% 0.08/0.23  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.33  % (1075631)Will run a generic schedule for satisfiability detection.
% 0.20/0.33  % (1075639)dis+10_1_sil=32000:sp=arity:random_seed=1945722051:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.33  % (1075637)% WARNING: option uhcvi not known.
% 0.20/0.33  % (1075636)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2524588652_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.33  % (1075638)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3023112150:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.33  % (1075637)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2343178322:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.33  % (1075640)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1722193902:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.33  % (1075641)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2338211692:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.33  % (1075642)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2651985432:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.33  % Detected minimum model sizes of [10]
% 0.20/0.33  % Detected maximum model sizes of [max]
% 0.20/0.33  % TRYING [10]
% 0.20/0.33  % (1075639)Instruction limit reached! 
% 0.20/0.33  % (1075639)------------------------------
% 0.20/0.33  % (1075639)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.33  % (1075639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.33  % (1075639)CaDiCaL version: 2.1.3
% 0.20/0.33  % (1075639)Termination reason: Instruction limit
% 0.20/0.33  % (1075639)Termination phase: Saturation
% 0.20/0.33  % (1075639)Time elapsed: 0.030 s
% 0.20/0.33  % (1075639)Peak memory usage: 12 MB
% 0.20/0.33  % (1075639)Instructions burned: 107 (million)
% 0.20/0.33  % (1075650)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=388186483:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.20/0.33  % Detected minimum model sizes of [10]
% 0.20/0.33  % Detected maximum model sizes of [max]
% 0.20/0.33  % TRYING [10]
% 0.20/0.33  % (1075640) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1075631-1075640"...
% 0.20/0.33  % (1075640)...printing done.
% 0.20/0.33  % (1075640)Refutation found. Thanks to Tanya!
% 0.20/0.33  % SZS status Theorem for theBenchmark
% 0.20/0.33  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.34  % (1075640)------------------------------
% 0.20/0.34  % (1075640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.34  % (1075640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.34  % (1075640)CaDiCaL version: 2.1.3
% 0.20/0.34  % (1075640)Termination reason: Refutation
% 0.20/0.34  % (1075640)Time elapsed: 0.055 s
% 0.20/0.34  % (1075640)Peak memory usage: 13 MB
% 0.20/0.34  % (1075640)Instructions burned: 104 (million)
% 0.20/0.34  % (1075631)Success in time 0.098 s
% 0.20/0.34  % Vampire exiting
%------------------------------------------------------------------------------