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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ALG183+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 09:18:07 AM UTC 2026

% Result   : Theorem 3.18s 0.82s
% Output   : Refutation 3.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   43
% Syntax   : Number of formulae    :  599 (  68 unt;  38 def)
%            Number of atoms       : 2135 ( 870 equ)
%            Maximal formula atoms :  110 (   3 avg)
%            Number of connectives : 2599 (1063   ~;1156   |; 340   &)
%                                         (  38 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   70 (   4 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :   40 (  38 usr;  39 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) = e14
    & op1(e10,e11) = e12
    & op1(e10,e12) = e10
    & op1(e10,e13) = e11
    & op1(e10,e14) = e13
    & op1(e11,e10) = e10
    & op1(e11,e11) = e11
    & op1(e11,e12) = e12
    & op1(e11,e13) = e13
    & op1(e11,e14) = e14
    & op1(e12,e10) = e11
    & op1(e12,e11) = e14
    & op1(e12,e12) = e13
    & op1(e12,e13) = e10
    & op1(e12,e14) = e12
    & op1(e13,e10) = e13
    & op1(e13,e11) = e10
    & op1(e13,e12) = e14
    & op1(e13,e13) = e12
    & op1(e13,e14) = e11
    & op1(e14,e10) = e12
    & op1(e14,e11) = e13
    & op1(e14,e12) = e11
    & op1(e14,e13) = e14
    & op1(e14,e14) = e10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).

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

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

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

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

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

fof(f10,plain,
    ( e10 = j(e24)
    | e11 = j(e24)
    | e12 = j(e24)
    | e13 = j(e24)
    | e14 = j(e24) ),
    inference(cnf_transformation,[],[f9]) ).

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

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

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

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

fof(f16,plain,
    ( e20 = h(e13)
    | e21 = h(e13)
    | e22 = h(e13)
    | e23 = h(e13)
    | e24 = h(e13) ),
    inference(cnf_transformation,[],[f9]) ).

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

fof(f21,plain,
    e13 = j(h(e13)),
    inference(cnf_transformation,[],[f9]) ).

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

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

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

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

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

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

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

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

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

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

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

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

fof(f81,plain,
    e20 = op2(e24,e23),
    inference(cnf_transformation,[],[f5]) ).

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

fof(f83,plain,
    e22 = op2(e24,e21),
    inference(cnf_transformation,[],[f5]) ).

fof(f84,plain,
    e23 = op2(e24,e20),
    inference(cnf_transformation,[],[f5]) ).

fof(f105,plain,
    e10 = op1(e14,e14),
    inference(cnf_transformation,[],[f4]) ).

fof(f111,plain,
    e12 = op1(e13,e13),
    inference(cnf_transformation,[],[f4]) ).

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

fof(f116,plain,
    e10 = op1(e12,e13),
    inference(cnf_transformation,[],[f4]) ).

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

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

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

fof(f123,plain,
    e11 = op1(e11,e11),
    inference(cnf_transformation,[],[f4]) ).

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

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

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

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

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

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

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

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

fof(f161,plain,
    e20 != e24,
    inference(cnf_transformation,[],[f2]) ).

fof(f162,plain,
    e20 != e23,
    inference(cnf_transformation,[],[f2]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f202,plain,
    ( e13 != j(e23)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f201]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f231,plain,
    ( e11 != j(e22)
    | spl0_14 ),
    inference(avatar_component_clause,[],[f230]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f302,definition,
    ( spl0_31
  <=> e24 = h(e13) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f304,plain,
    ( e24 = h(e13)
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f302]) ).

fof(f306,definition,
    ( spl0_32
  <=> e23 = h(e13) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f308,plain,
    ( e23 = h(e13)
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f306]) ).

fof(f310,definition,
    ( spl0_33
  <=> e22 = h(e13) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f312,plain,
    ( e22 = h(e13)
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f310]) ).

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

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

fof(f318,definition,
    ( spl0_35
  <=> e20 = h(e13) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f319,plain,
    ( e20 != h(e13)
    | spl0_35 ),
    inference(avatar_component_clause,[],[f318]) ).

fof(f320,plain,
    ( e20 = h(e13)
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f318]) ).

fof(f321,plain,
    ( spl0_31
    | spl0_32
    | spl0_33
    | spl0_34
    | spl0_35 ),
    inference(avatar_split_clause,[],[f16,f318,f314,f310,f306,f302]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f386,plain,
    j(e20) = op1(j(e24),j(e23)),
    inference(forward_demodulation,[],[f31,f81]) ).

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

fof(f388,plain,
    j(e22) = op1(j(e24),j(e21)),
    inference(forward_demodulation,[],[f33,f83]) ).

fof(f389,plain,
    j(e23) = op1(j(e24),j(e20)),
    inference(forward_demodulation,[],[f34,f84]) ).

fof(f441,plain,
    ( e13 = j(e24)
    | ~ spl0_31 ),
    inference(superposition,[],[f21,f304]) ).

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

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

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

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

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

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

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

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

fof(f523,plain,
    ( e10 = e13
    | ~ spl0_5
    | ~ spl0_31 ),
    inference(forward_demodulation,[],[f441,f194]) ).

fof(f524,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[],[f523,f172]) ).

fof(f525,plain,
    ( ~ spl0_5
    | ~ spl0_31 ),
    inference(avatar_contradiction_clause,[],[f524]) ).

fof(f527,plain,
    ( e13 = j(e23)
    | ~ spl0_32 ),
    inference(superposition,[],[f21,f308]) ).

fof(f533,plain,
    ( e13 = j(e22)
    | ~ spl0_33 ),
    inference(superposition,[],[f21,f312]) ).

fof(f534,plain,
    ( spl0_12
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f533,f310,f222]) ).

fof(f538,plain,
    ( e13 = j(e21)
    | ~ spl0_34 ),
    inference(superposition,[],[f21,f316]) ).

fof(f543,plain,
    ( spl0_17
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f538,f314,f243]) ).

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

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

fof(f625,plain,
    ( e24 = h(e11)
    | ~ spl0_4 ),
    inference(superposition,[],[f25,f190]) ).

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

fof(f628,plain,
    ( e21 = h(e13)
    | ~ spl0_17 ),
    inference(superposition,[],[f28,f245]) ).

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

fof(f632,plain,
    ( j(e20) = op1(j(e24),e12)
    | ~ spl0_8 ),
    inference(superposition,[],[f386,f207]) ).

fof(f643,plain,
    ( j(e22) = op1(e11,j(e21))
    | ~ spl0_4 ),
    inference(superposition,[],[f388,f190]) ).

fof(f644,plain,
    ( j(e22) = op1(j(e24),e13)
    | ~ spl0_17 ),
    inference(superposition,[],[f388,f245]) ).

fof(f646,plain,
    ( op1(e11,e13) = j(e22)
    | ~ spl0_4
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f643,f245]) ).

fof(f648,plain,
    ( e14 = op1(e11,e13)
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f646,f220]) ).

fof(f650,plain,
    ( e13 = e14
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f648,f121]) ).

fof(f653,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[],[f650,f165]) ).

fof(f654,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f653]) ).

fof(f664,plain,
    ( op1(e12,e13) = j(e22)
    | ~ spl0_3
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f644,f186]) ).

fof(f671,plain,
    ( e14 = op1(e12,e13)
    | ~ spl0_3
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f664,f220]) ).

fof(f673,plain,
    ( e10 = e14
    | ~ spl0_3
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f671,f116]) ).

fof(f676,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[],[f673,f171]) ).

fof(f677,plain,
    ( ~ spl0_3
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f676]) ).

fof(f682,plain,
    ( op1(e10,e12) = j(e20)
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f632,f194]) ).

fof(f684,plain,
    ( op1(e10,e13) = j(e22)
    | ~ spl0_5
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f644,f194]) ).

fof(f685,plain,
    ( e11 = op1(e10,e12)
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f682,f274]) ).

fof(f687,plain,
    ( e14 = op1(e10,e13)
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f684,f220]) ).

fof(f688,plain,
    ( e10 = e11
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f685,f127]) ).

fof(f689,plain,
    ( e11 = e14
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f687,f126]) ).

fof(f690,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[],[f688,f174]) ).

fof(f691,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | ~ spl0_24 ),
    inference(avatar_contradiction_clause,[],[f690]) ).

fof(f692,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[],[f689,f168]) ).

fof(f693,plain,
    ( ~ spl0_5
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f692]) ).

fof(f706,plain,
    ( e13 = op1(e13,e13)
    | ~ spl0_2 ),
    inference(superposition,[],[f385,f182]) ).

fof(f710,plain,
    ( e12 = e13
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f706,f111]) ).

fof(f714,plain,
    ( $false
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[],[f710,f167]) ).

fof(f715,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f714]) ).

fof(f729,plain,
    ( e14 = op1(e14,e14)
    | ~ spl0_1 ),
    inference(superposition,[],[f385,f178]) ).

fof(f733,plain,
    ( e10 = e14
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f729,f105]) ).

fof(f737,plain,
    ( $false
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[],[f733,f171]) ).

fof(f738,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f737]) ).

fof(f752,plain,
    ( e24 = h(e12)
    | ~ spl0_3 ),
    inference(superposition,[],[f25,f186]) ).

fof(f756,plain,
    ( j(e21) = op1(e12,j(e22))
    | ~ spl0_3 ),
    inference(superposition,[],[f387,f186]) ).

fof(f759,plain,
    ( op1(e12,e10) = j(e21)
    | ~ spl0_3
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f756,f236]) ).

fof(f765,plain,
    ( e13 = op1(e12,e10)
    | ~ spl0_3
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f759,f245]) ).

fof(f769,plain,
    ( e11 = e13
    | ~ spl0_3
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f765,f119]) ).

fof(f770,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[],[f769,f169]) ).

fof(f771,plain,
    ( ~ spl0_3
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f770]) ).

fof(f791,plain,
    ( e10 = op1(e10,e10)
    | ~ spl0_5 ),
    inference(superposition,[],[f385,f194]) ).

fof(f793,plain,
    ( j(e21) = op1(e10,j(e22))
    | ~ spl0_5 ),
    inference(superposition,[],[f387,f194]) ).

fof(f796,plain,
    ( op1(e10,e10) = j(e21)
    | ~ spl0_5
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f793,f236]) ).

fof(f801,plain,
    ( e13 = op1(e10,e10)
    | ~ spl0_5
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f796,f245]) ).

fof(f803,plain,
    ( e10 = e13
    | ~ spl0_5
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f801,f791]) ).

fof(f804,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[],[f803,f172]) ).

fof(f805,plain,
    ( ~ spl0_5
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f804]) ).

fof(f806,plain,
    ( e22 = e24
    | ~ spl0_3
    | ~ spl0_38 ),
    inference(forward_demodulation,[],[f752,f333]) ).

fof(f813,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_38 ),
    inference(forward_subsumption_resolution,[],[f806,f156]) ).

fof(f814,plain,
    ( ~ spl0_3
    | ~ spl0_38 ),
    inference(avatar_contradiction_clause,[],[f813]) ).

fof(f822,plain,
    ( j(e20) = op1(e12,j(e23))
    | ~ spl0_3 ),
    inference(superposition,[],[f386,f186]) ).

fof(f823,plain,
    ( j(e21) = op1(e12,j(e22))
    | ~ spl0_3 ),
    inference(superposition,[],[f387,f186]) ).

fof(f824,plain,
    ( j(e22) = op1(e12,j(e21))
    | ~ spl0_3 ),
    inference(superposition,[],[f388,f186]) ).

fof(f827,plain,
    ( op1(e12,e13) = j(e20)
    | ~ spl0_3
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f822,f203]) ).

fof(f830,plain,
    ( e11 = op1(e12,e13)
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f827,f274]) ).

fof(f832,plain,
    ( e10 = e11
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f830,f116]) ).

fof(f835,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[],[f832,f174]) ).

fof(f836,plain,
    ( ~ spl0_3
    | ~ spl0_7
    | ~ spl0_24 ),
    inference(avatar_contradiction_clause,[],[f835]) ).

fof(f849,plain,
    ( e23 = h(e10)
    | ~ spl0_10 ),
    inference(superposition,[],[f26,f215]) ).

fof(f879,plain,
    ( e23 = h(e11)
    | ~ spl0_9 ),
    inference(superposition,[],[f26,f211]) ).

fof(f880,plain,
    ( e20 = e23
    | ~ spl0_9
    | ~ spl0_45 ),
    inference(forward_demodulation,[],[f879,f362]) ).

fof(f882,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_45 ),
    inference(forward_subsumption_resolution,[],[f880,f162]) ).

fof(f883,plain,
    ( ~ spl0_9
    | ~ spl0_45 ),
    inference(avatar_contradiction_clause,[],[f882]) ).

fof(f891,plain,
    ( j(e20) = op1(j(e24),e14)
    | ~ spl0_6 ),
    inference(superposition,[],[f386,f199]) ).

fof(f895,plain,
    ( op1(e12,e14) = j(e20)
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f891,f186]) ).

fof(f939,plain,
    ( j(e22) = op1(j(e24),e10)
    | ~ spl0_20 ),
    inference(superposition,[],[f388,f257]) ).

fof(f941,plain,
    ( op1(e12,e10) = j(e22)
    | ~ spl0_3
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f939,f186]) ).

fof(f943,plain,
    ( e20 = h(e11)
    | ~ spl0_24 ),
    inference(superposition,[],[f29,f274]) ).

fof(f954,plain,
    ( e13 = j(e20)
    | ~ spl0_35 ),
    inference(superposition,[],[f21,f320]) ).

fof(f958,plain,
    ( e12 = e13
    | ~ spl0_3
    | ~ spl0_31 ),
    inference(forward_demodulation,[],[f441,f186]) ).

fof(f960,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[],[f958,f167]) ).

fof(f961,plain,
    ( ~ spl0_3
    | ~ spl0_31 ),
    inference(avatar_contradiction_clause,[],[f960]) ).

fof(f962,plain,
    ( $false
    | spl0_7
    | ~ spl0_32 ),
    inference(forward_subsumption_resolution,[],[f527,f202]) ).

fof(f963,plain,
    ( spl0_7
    | ~ spl0_32 ),
    inference(avatar_contradiction_clause,[],[f962]) ).

fof(f977,plain,
    ( e11 = j(e22)
    | ~ spl0_3
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f941,f119]) ).

fof(f981,plain,
    ( $false
    | ~ spl0_3
    | spl0_14
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[],[f977,f231]) ).

fof(f982,plain,
    ( ~ spl0_3
    | spl0_14
    | ~ spl0_20 ),
    inference(avatar_contradiction_clause,[],[f981]) ).

fof(f985,plain,
    ( e22 = h(e13)
    | ~ spl0_12 ),
    inference(superposition,[],[f27,f224]) ).

fof(f988,plain,
    ( e11 = e13
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(superposition,[],[f232,f224]) ).

fof(f997,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[],[f988,f169]) ).

fof(f998,plain,
    ( ~ spl0_12
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f997]) ).

fof(f1011,plain,
    ( op1(e12,e13) = j(e21)
    | ~ spl0_3
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f823,f224]) ).

fof(f1014,plain,
    ( e14 = op1(e12,e13)
    | ~ spl0_3
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1011,f241]) ).

fof(f1017,plain,
    ( e10 = e14
    | ~ spl0_3
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1014,f116]) ).

fof(f1022,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[],[f1017,f171]) ).

fof(f1023,plain,
    ( ~ spl0_3
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1022]) ).

fof(f1028,plain,
    ( e12 = op1(e12,e13)
    | ~ spl0_3
    | ~ spl0_12
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1011,f249]) ).

fof(f1031,plain,
    ( e10 = e12
    | ~ spl0_3
    | ~ spl0_12
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1028,f116]) ).

fof(f1034,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_12
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[],[f1031,f173]) ).

fof(f1035,plain,
    ( ~ spl0_3
    | ~ spl0_12
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1034]) ).

fof(f1042,plain,
    ( e11 = op1(e12,e13)
    | ~ spl0_3
    | ~ spl0_12
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f1011,f253]) ).

fof(f1049,plain,
    ( e10 = e11
    | ~ spl0_3
    | ~ spl0_12
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f1042,f116]) ).

fof(f1052,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_12
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[],[f1049,f174]) ).

fof(f1053,plain,
    ( ~ spl0_3
    | ~ spl0_12
    | ~ spl0_19 ),
    inference(avatar_contradiction_clause,[],[f1052]) ).

fof(f1059,plain,
    ( e13 = op1(e12,e14)
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f895,f266]) ).

fof(f1064,plain,
    ( e12 = e13
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f1059,f115]) ).

fof(f1068,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[],[f1064,f167]) ).

fof(f1069,plain,
    ( ~ spl0_3
    | ~ spl0_6
    | ~ spl0_22 ),
    inference(avatar_contradiction_clause,[],[f1068]) ).

fof(f1074,plain,
    ( op1(e12,e13) = j(e20)
    | ~ spl0_3
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f822,f203]) ).

fof(f1077,plain,
    ( e13 = op1(e12,e13)
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f1074,f266]) ).

fof(f1082,plain,
    ( e10 = e13
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f1077,f116]) ).

fof(f1083,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[],[f1082,f172]) ).

fof(f1084,plain,
    ( ~ spl0_3
    | ~ spl0_7
    | ~ spl0_22 ),
    inference(avatar_contradiction_clause,[],[f1083]) ).

fof(f1090,plain,
    ( e14 = op1(e12,e13)
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f1074,f262]) ).

fof(f1091,plain,
    ( e10 = e14
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f1090,f116]) ).

fof(f1092,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[],[f1091,f171]) ).

fof(f1093,plain,
    ( ~ spl0_3
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(avatar_contradiction_clause,[],[f1092]) ).

fof(f1097,plain,
    ( e12 = op1(e12,e13)
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_23 ),
    inference(forward_demodulation,[],[f1074,f270]) ).

fof(f1098,plain,
    ( e10 = e12
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_23 ),
    inference(forward_demodulation,[],[f1097,f116]) ).

fof(f1099,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[],[f1098,f173]) ).

fof(f1100,plain,
    ( ~ spl0_3
    | ~ spl0_7
    | ~ spl0_23 ),
    inference(avatar_contradiction_clause,[],[f1099]) ).

fof(f1101,plain,
    ( spl0_50
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f629,f276,f381]) ).

fof(f1106,plain,
    ( e24 = h(e10)
    | ~ spl0_5 ),
    inference(superposition,[],[f25,f194]) ).

fof(f1133,plain,
    ( e23 = h(e13)
    | ~ spl0_7 ),
    inference(superposition,[],[f26,f203]) ).

fof(f1139,plain,
    ( e22 = h(e12)
    | ~ spl0_13 ),
    inference(superposition,[],[f27,f228]) ).

fof(f1189,plain,
    ( j(e23) = op1(e12,j(e20))
    | ~ spl0_3 ),
    inference(superposition,[],[f389,f186]) ).

fof(f1192,plain,
    ( op1(e12,e10) = j(e23)
    | ~ spl0_3
    | ~ spl0_25 ),
    inference(forward_demodulation,[],[f1189,f278]) ).

fof(f1194,plain,
    ( e13 = op1(e12,e10)
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_25 ),
    inference(forward_demodulation,[],[f1192,f203]) ).

fof(f1196,plain,
    ( e11 = e13
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_25 ),
    inference(forward_demodulation,[],[f1194,f119]) ).

fof(f1199,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_25 ),
    inference(forward_subsumption_resolution,[],[f1196,f169]) ).

fof(f1200,plain,
    ( ~ spl0_3
    | ~ spl0_7
    | ~ spl0_25 ),
    inference(avatar_contradiction_clause,[],[f1199]) ).

fof(f1201,plain,
    ( spl0_47
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f849,f213,f369]) ).

fof(f1203,plain,
    ( spl0_22
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f954,f318,f264]) ).

fof(f1215,plain,
    ( op1(e12,e10) = j(e20)
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f822,f215]) ).

fof(f1223,plain,
    ( op1(e12,e13) = j(e23)
    | ~ spl0_3
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f1189,f266]) ).

fof(f1224,plain,
    ( e13 = op1(e12,e10)
    | ~ spl0_3
    | ~ spl0_10
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f1215,f266]) ).

fof(f1226,plain,
    ( e11 = e13
    | ~ spl0_3
    | ~ spl0_10
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f1224,f119]) ).

fof(f1227,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_10
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[],[f1226,f169]) ).

fof(f1228,plain,
    ( ~ spl0_3
    | ~ spl0_10
    | ~ spl0_22 ),
    inference(avatar_contradiction_clause,[],[f1227]) ).

fof(f1244,plain,
    ( e11 = op1(e12,e13)
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f1223,f211]) ).

fof(f1247,plain,
    ( e10 = e11
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f1244,f116]) ).

fof(f1249,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[],[f1247,f174]) ).

fof(f1250,plain,
    ( ~ spl0_3
    | ~ spl0_9
    | ~ spl0_22 ),
    inference(avatar_contradiction_clause,[],[f1249]) ).

fof(f1259,plain,
    ( e12 = op1(e12,e13)
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f1223,f207]) ).

fof(f1261,plain,
    ( e10 = e12
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f1259,f116]) ).

fof(f1262,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[],[f1261,f173]) ).

fof(f1263,plain,
    ( ~ spl0_3
    | ~ spl0_8
    | ~ spl0_22 ),
    inference(avatar_contradiction_clause,[],[f1262]) ).

fof(f1266,plain,
    ( spl0_34
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f628,f243,f314]) ).

fof(f1279,plain,
    ( op1(e12,e13) = j(e22)
    | ~ spl0_3
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f824,f245]) ).

fof(f1286,plain,
    ( e11 = op1(e12,e13)
    | ~ spl0_3
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1279,f232]) ).

fof(f1289,plain,
    ( e10 = e11
    | ~ spl0_3
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1286,f116]) ).

fof(f1291,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[],[f1289,f174]) ).

fof(f1292,plain,
    ( ~ spl0_3
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1291]) ).

fof(f1295,plain,
    ( e21 = e22
    | ~ spl0_12
    | ~ spl0_34 ),
    inference(forward_demodulation,[],[f985,f316]) ).

fof(f1297,plain,
    ( spl0_45
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f943,f272,f360]) ).

fof(f1304,plain,
    ( op1(e12,e13) = j(e21)
    | ~ spl0_3
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f823,f224]) ).

fof(f1306,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_34 ),
    inference(forward_subsumption_resolution,[],[f1295,f160]) ).

fof(f1307,plain,
    ( ~ spl0_12
    | ~ spl0_34 ),
    inference(avatar_contradiction_clause,[],[f1306]) ).

fof(f1309,plain,
    ( e13 = op1(e12,e13)
    | ~ spl0_3
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1304,f245]) ).

fof(f1311,plain,
    ( e10 = e13
    | ~ spl0_3
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1309,f116]) ).

fof(f1314,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[],[f1311,f172]) ).

fof(f1315,plain,
    ( ~ spl0_3
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1314]) ).

fof(f1316,plain,
    ( e20 = e24
    | ~ spl0_4
    | ~ spl0_45 ),
    inference(forward_demodulation,[],[f625,f362]) ).

fof(f1317,plain,
    ( spl0_38
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f1139,f226,f331]) ).

fof(f1323,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_45 ),
    inference(forward_subsumption_resolution,[],[f1316,f161]) ).

fof(f1324,plain,
    ( ~ spl0_4
    | ~ spl0_45 ),
    inference(avatar_contradiction_clause,[],[f1323]) ).

fof(f1328,plain,
    ( e23 = e24
    | ~ spl0_5
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f1106,f371]) ).

fof(f1334,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f1328,f155]) ).

fof(f1335,plain,
    ( ~ spl0_5
    | ~ spl0_47 ),
    inference(avatar_contradiction_clause,[],[f1334]) ).

fof(f1346,plain,
    ( e24 = h(e11)
    | ~ spl0_4 ),
    inference(superposition,[],[f25,f190]) ).

fof(f1351,plain,
    ( j(e21) = op1(e11,j(e22))
    | ~ spl0_4 ),
    inference(superposition,[],[f387,f190]) ).

fof(f1356,plain,
    ( op1(e11,e12) = j(e21)
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1351,f228]) ).

fof(f1360,plain,
    ( e13 = op1(e11,e12)
    | ~ spl0_4
    | ~ spl0_13
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1356,f245]) ).

fof(f1362,plain,
    ( e12 = e13
    | ~ spl0_4
    | ~ spl0_13
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1360,f122]) ).

fof(f1364,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_13
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[],[f1362,f167]) ).

fof(f1365,plain,
    ( ~ spl0_4
    | ~ spl0_13
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1364]) ).

fof(f1368,plain,
    ( spl0_42
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f879,f209,f348]) ).

fof(f1378,plain,
    ( e24 = h(e10)
    | ~ spl0_5 ),
    inference(superposition,[],[f25,f194]) ).

fof(f1383,plain,
    ( j(e20) = op1(e10,j(e23))
    | ~ spl0_5 ),
    inference(superposition,[],[f386,f194]) ).

fof(f1384,plain,
    ( j(e21) = op1(e10,j(e22))
    | ~ spl0_5 ),
    inference(superposition,[],[f387,f194]) ).

fof(f1386,plain,
    ( j(e23) = op1(e10,j(e20))
    | ~ spl0_5 ),
    inference(superposition,[],[f389,f194]) ).

fof(f1387,plain,
    ( op1(e10,e12) = j(e23)
    | ~ spl0_5
    | ~ spl0_23 ),
    inference(forward_demodulation,[],[f1386,f270]) ).

fof(f1389,plain,
    ( op1(e10,e12) = j(e21)
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1384,f228]) ).

fof(f1390,plain,
    ( op1(e10,e11) = j(e20)
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1383,f211]) ).

fof(f1391,plain,
    ( e11 = op1(e10,e12)
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_23 ),
    inference(forward_demodulation,[],[f1387,f211]) ).

fof(f1393,plain,
    ( e13 = op1(e10,e12)
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1389,f245]) ).

fof(f1395,plain,
    ( e10 = e11
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_23 ),
    inference(forward_demodulation,[],[f1391,f127]) ).

fof(f1397,plain,
    ( e10 = e13
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1393,f127]) ).

fof(f1398,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[],[f1395,f174]) ).

fof(f1399,plain,
    ( ~ spl0_5
    | ~ spl0_9
    | ~ spl0_23 ),
    inference(avatar_contradiction_clause,[],[f1398]) ).

fof(f1402,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_13
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[],[f1397,f172]) ).

fof(f1403,plain,
    ( ~ spl0_5
    | ~ spl0_13
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1402]) ).

fof(f1408,plain,
    ( e14 = op1(e10,e11)
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f1390,f262]) ).

fof(f1410,plain,
    ( op1(e10,e11) = j(e21)
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1384,f232]) ).

fof(f1413,plain,
    ( e12 = e14
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f1408,f128]) ).

fof(f1414,plain,
    ( e13 = op1(e10,e11)
    | ~ spl0_5
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1410,f245]) ).

fof(f1415,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[],[f1413,f166]) ).

fof(f1416,plain,
    ( ~ spl0_5
    | ~ spl0_9
    | ~ spl0_21 ),
    inference(avatar_contradiction_clause,[],[f1415]) ).

fof(f1417,plain,
    ( e12 = e13
    | ~ spl0_5
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1414,f128]) ).

fof(f1418,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[],[f1417,f167]) ).

fof(f1419,plain,
    ( ~ spl0_5
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1418]) ).

fof(f1421,plain,
    ( e23 = e24
    | ~ spl0_4
    | ~ spl0_42 ),
    inference(forward_demodulation,[],[f1346,f350]) ).

fof(f1431,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_42 ),
    inference(forward_subsumption_resolution,[],[f1421,f155]) ).

fof(f1432,plain,
    ( ~ spl0_4
    | ~ spl0_42 ),
    inference(avatar_contradiction_clause,[],[f1431]) ).

fof(f1435,plain,
    ( e22 = e23
    | ~ spl0_8
    | ~ spl0_38 ),
    inference(forward_demodulation,[],[f626,f333]) ).

fof(f1441,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_38 ),
    inference(forward_subsumption_resolution,[],[f1435,f157]) ).

fof(f1442,plain,
    ( ~ spl0_8
    | ~ spl0_38 ),
    inference(avatar_contradiction_clause,[],[f1441]) ).

fof(f1455,plain,
    ( j(e20) = op1(e11,j(e23))
    | ~ spl0_4 ),
    inference(superposition,[],[f386,f190]) ).

fof(f1456,plain,
    ( j(e21) = op1(e11,j(e22))
    | ~ spl0_4 ),
    inference(superposition,[],[f387,f190]) ).

fof(f1457,plain,
    ( j(e22) = op1(e11,j(e21))
    | ~ spl0_4 ),
    inference(superposition,[],[f388,f190]) ).

fof(f1458,plain,
    ( j(e23) = op1(e11,j(e20))
    | ~ spl0_4 ),
    inference(superposition,[],[f389,f190]) ).

fof(f1461,plain,
    ( op1(e11,e10) = j(e21)
    | ~ spl0_4
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1456,f236]) ).

fof(f1465,plain,
    ( e13 = op1(e11,e10)
    | ~ spl0_4
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1461,f245]) ).

fof(f1467,plain,
    ( e10 = e13
    | ~ spl0_4
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1465,f124]) ).

fof(f1468,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[],[f1467,f172]) ).

fof(f1469,plain,
    ( ~ spl0_4
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1468]) ).

fof(f1474,plain,
    ( op1(e11,e11) = j(e21)
    | ~ spl0_4
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1456,f232]) ).

fof(f1476,plain,
    ( e13 = op1(e11,e11)
    | ~ spl0_4
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1474,f245]) ).

fof(f1477,plain,
    ( e11 = e13
    | ~ spl0_4
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1476,f123]) ).

fof(f1478,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[],[f1477,f169]) ).

fof(f1479,plain,
    ( ~ spl0_4
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1478]) ).

fof(f1481,plain,
    ( e11 = e13
    | ~ spl0_4
    | ~ spl0_31 ),
    inference(forward_demodulation,[],[f441,f190]) ).

fof(f1490,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[],[f1481,f169]) ).

fof(f1491,plain,
    ( ~ spl0_4
    | ~ spl0_31 ),
    inference(avatar_contradiction_clause,[],[f1490]) ).

fof(f1545,plain,
    ( op1(e11,e13) = j(e23)
    | ~ spl0_4
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f1458,f266]) ).

fof(f1551,plain,
    ( op1(e11,e10) = j(e20)
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1455,f215]) ).

fof(f1558,plain,
    ( e13 = op1(e11,e10)
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f1551,f266]) ).

fof(f1561,plain,
    ( e10 = e13
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f1558,f124]) ).

fof(f1562,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[],[f1561,f172]) ).

fof(f1563,plain,
    ( ~ spl0_4
    | ~ spl0_10
    | ~ spl0_22 ),
    inference(avatar_contradiction_clause,[],[f1562]) ).

fof(f1570,plain,
    ( e14 = op1(e11,e13)
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f1545,f199]) ).

fof(f1572,plain,
    ( e13 = e14
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f1570,f121]) ).

fof(f1573,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[],[f1572,f165]) ).

fof(f1574,plain,
    ( ~ spl0_4
    | ~ spl0_6
    | ~ spl0_22 ),
    inference(avatar_contradiction_clause,[],[f1573]) ).

fof(f1585,plain,
    ( e20 = e23
    | ~ spl0_7
    | ~ spl0_35 ),
    inference(forward_demodulation,[],[f1133,f320]) ).

fof(f1588,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_35 ),
    inference(forward_subsumption_resolution,[],[f1585,f162]) ).

fof(f1589,plain,
    ( ~ spl0_7
    | ~ spl0_35 ),
    inference(avatar_contradiction_clause,[],[f1588]) ).

fof(f1591,plain,
    ( j(e20) = op1(j(e24),e13)
    | ~ spl0_7 ),
    inference(superposition,[],[f386,f203]) ).

fof(f1593,plain,
    ( op1(e11,e13) = j(e20)
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1591,f190]) ).

fof(f1609,plain,
    ( e20 = h(e13)
    | ~ spl0_22 ),
    inference(superposition,[],[f29,f266]) ).

fof(f1610,plain,
    ( $false
    | ~ spl0_22
    | spl0_35 ),
    inference(forward_subsumption_resolution,[],[f1609,f319]) ).

fof(f1611,plain,
    ( ~ spl0_22
    | spl0_35 ),
    inference(avatar_contradiction_clause,[],[f1610]) ).

fof(f1618,plain,
    ( op1(e11,e10) = j(e23)
    | ~ spl0_4
    | ~ spl0_25 ),
    inference(forward_demodulation,[],[f1458,f278]) ).

fof(f1621,plain,
    ( e13 = op1(e11,e10)
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_25 ),
    inference(forward_demodulation,[],[f1618,f203]) ).

fof(f1622,plain,
    ( e10 = e13
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_25 ),
    inference(forward_demodulation,[],[f1621,f124]) ).

fof(f1623,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_25 ),
    inference(forward_subsumption_resolution,[],[f1622,f172]) ).

fof(f1624,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | ~ spl0_25 ),
    inference(avatar_contradiction_clause,[],[f1623]) ).

fof(f1631,plain,
    ( op1(e11,e12) = j(e23)
    | ~ spl0_4
    | ~ spl0_23 ),
    inference(forward_demodulation,[],[f1458,f270]) ).

fof(f1634,plain,
    ( e13 = op1(e11,e12)
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_23 ),
    inference(forward_demodulation,[],[f1631,f203]) ).

fof(f1635,plain,
    ( e12 = e13
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_23 ),
    inference(forward_demodulation,[],[f1634,f122]) ).

fof(f1636,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[],[f1635,f167]) ).

fof(f1637,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | ~ spl0_23 ),
    inference(avatar_contradiction_clause,[],[f1636]) ).

fof(f1644,plain,
    ( e14 = op1(e11,e13)
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f1593,f262]) ).

fof(f1647,plain,
    ( e13 = e14
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f1644,f121]) ).

fof(f1650,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[],[f1647,f165]) ).

fof(f1651,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(avatar_contradiction_clause,[],[f1650]) ).

fof(f1667,plain,
    ( op1(e11,e12) = j(e20)
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1455,f207]) ).

fof(f1674,plain,
    ( e13 = op1(e11,e12)
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f1667,f266]) ).

fof(f1676,plain,
    ( e12 = e13
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f1674,f122]) ).

fof(f1679,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[],[f1676,f167]) ).

fof(f1680,plain,
    ( ~ spl0_4
    | ~ spl0_8
    | ~ spl0_22 ),
    inference(avatar_contradiction_clause,[],[f1679]) ).

fof(f1692,plain,
    ( op1(e11,e10) = j(e22)
    | ~ spl0_4
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f1457,f257]) ).

fof(f1695,plain,
    ( op1(e11,e13) = j(e21)
    | ~ spl0_4
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1456,f224]) ).

fof(f1697,plain,
    ( e13 = op1(e11,e10)
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f1692,f224]) ).

fof(f1699,plain,
    ( e10 = e13
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f1697,f124]) ).

fof(f1700,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[],[f1699,f172]) ).

fof(f1701,plain,
    ( ~ spl0_4
    | ~ spl0_12
    | ~ spl0_20 ),
    inference(avatar_contradiction_clause,[],[f1700]) ).

fof(f1706,plain,
    ( e14 = op1(e11,e13)
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1695,f241]) ).

fof(f1708,plain,
    ( e13 = e14
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1706,f121]) ).

fof(f1709,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[],[f1708,f165]) ).

fof(f1710,plain,
    ( ~ spl0_4
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1709]) ).

fof(f1712,plain,
    ( op1(e11,e11) = j(e22)
    | ~ spl0_4
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f1457,f253]) ).

fof(f1714,plain,
    ( e13 = op1(e11,e11)
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f1712,f224]) ).

fof(f1715,plain,
    ( e11 = e13
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f1714,f123]) ).

fof(f1716,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[],[f1715,f169]) ).

fof(f1717,plain,
    ( ~ spl0_4
    | ~ spl0_12
    | ~ spl0_19 ),
    inference(avatar_contradiction_clause,[],[f1716]) ).

fof(f1726,plain,
    ( op1(e11,e12) = j(e22)
    | ~ spl0_4
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1457,f249]) ).

fof(f1738,plain,
    ( e13 = op1(e11,e12)
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1726,f224]) ).

fof(f1741,plain,
    ( e12 = e13
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1738,f122]) ).

fof(f1744,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[],[f1741,f167]) ).

fof(f1745,plain,
    ( ~ spl0_4
    | ~ spl0_12
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1744]) ).

fof(f1748,plain,
    ( e20 = e24
    | ~ spl0_5
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1378,f383]) ).

fof(f1757,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_50 ),
    inference(forward_subsumption_resolution,[],[f1748,f161]) ).

fof(f1758,plain,
    ( ~ spl0_5
    | ~ spl0_50 ),
    inference(avatar_contradiction_clause,[],[f1757]) ).

fof(f1767,plain,
    ( j(e20) = op1(e10,j(e23))
    | ~ spl0_5 ),
    inference(superposition,[],[f386,f194]) ).

fof(f1769,plain,
    ( j(e22) = op1(e10,j(e21))
    | ~ spl0_5 ),
    inference(superposition,[],[f388,f194]) ).

fof(f1770,plain,
    ( j(e23) = op1(e10,j(e20))
    | ~ spl0_5 ),
    inference(superposition,[],[f389,f194]) ).

fof(f1772,plain,
    ( op1(e10,e11) = j(e22)
    | ~ spl0_5
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f1769,f253]) ).

fof(f1776,plain,
    ( e13 = op1(e10,e11)
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f1772,f224]) ).

fof(f1780,plain,
    ( e12 = e13
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f1776,f128]) ).

fof(f1783,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[],[f1780,f167]) ).

fof(f1784,plain,
    ( ~ spl0_5
    | ~ spl0_12
    | ~ spl0_19 ),
    inference(avatar_contradiction_clause,[],[f1783]) ).

fof(f1789,plain,
    ( op1(e10,e11) = j(e23)
    | ~ spl0_5
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f1770,f274]) ).

fof(f1794,plain,
    ( e14 = op1(e10,e11)
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f1789,f199]) ).

fof(f1797,plain,
    ( e12 = e14
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f1794,f128]) ).

fof(f1801,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[],[f1797,f166]) ).

fof(f1802,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | ~ spl0_24 ),
    inference(avatar_contradiction_clause,[],[f1801]) ).

fof(f1816,plain,
    ( op1(e10,e13) = j(e20)
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1767,f203]) ).

fof(f1817,plain,
    ( e13 = op1(e10,e11)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f1789,f203]) ).

fof(f1827,plain,
    ( e12 = e13
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f1817,f128]) ).

fof(f1830,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[],[f1827,f167]) ).

fof(f1831,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_24 ),
    inference(avatar_contradiction_clause,[],[f1830]) ).

fof(f1838,plain,
    ( e14 = op1(e10,e13)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f1816,f262]) ).

fof(f1845,plain,
    ( e11 = e14
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f1838,f126]) ).

fof(f1848,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[],[f1845,f168]) ).

fof(f1849,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(avatar_contradiction_clause,[],[f1848]) ).

fof(f1859,plain,
    ( op1(e10,e12) = j(e23)
    | ~ spl0_5
    | ~ spl0_23 ),
    inference(forward_demodulation,[],[f1770,f270]) ).

fof(f1865,plain,
    ( e13 = op1(e10,e12)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_23 ),
    inference(forward_demodulation,[],[f1859,f203]) ).

fof(f1869,plain,
    ( e10 = e13
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_23 ),
    inference(forward_demodulation,[],[f1865,f127]) ).

fof(f1874,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[],[f1869,f172]) ).

fof(f1875,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_23 ),
    inference(avatar_contradiction_clause,[],[f1874]) ).

fof(f1886,plain,
    ( op1(e10,e13) = j(e23)
    | ~ spl0_5
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f1770,f266]) ).

fof(f1894,plain,
    ( op1(e10,e11) = j(e20)
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1767,f211]) ).

fof(f1904,plain,
    ( e13 = op1(e10,e11)
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f1894,f266]) ).

fof(f1906,plain,
    ( e12 = e13
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f1904,f128]) ).

fof(f1909,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[],[f1906,f167]) ).

fof(f1910,plain,
    ( ~ spl0_5
    | ~ spl0_9
    | ~ spl0_22 ),
    inference(avatar_contradiction_clause,[],[f1909]) ).

fof(f1924,plain,
    ( e14 = op1(e10,e13)
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f1886,f199]) ).

fof(f1928,plain,
    ( e11 = e14
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f1924,f126]) ).

fof(f1931,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[],[f1928,f168]) ).

fof(f1932,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | ~ spl0_22 ),
    inference(avatar_contradiction_clause,[],[f1931]) ).

fof(f1940,plain,
    ( op1(e10,e12) = j(e20)
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1767,f207]) ).

fof(f1943,plain,
    ( e13 = op1(e10,e12)
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f1940,f266]) ).

fof(f1946,plain,
    ( e10 = e13
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f1943,f127]) ).

fof(f1951,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[],[f1946,f172]) ).

fof(f1952,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | ~ spl0_22 ),
    inference(avatar_contradiction_clause,[],[f1951]) ).

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

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

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

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

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

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

cnf(s34,plain,
    ( ~ spl0_5
    | ~ spl0_31 ),
    inference(sat_conversion,[],[f525]) ).

cnf(s36,plain,
    ( spl0_12
    | ~ spl0_33 ),
    inference(sat_conversion,[],[f534]) ).

cnf(s38,plain,
    ( spl0_17
    | ~ spl0_34 ),
    inference(sat_conversion,[],[f543]) ).

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

cnf(s54,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(sat_conversion,[],[f654]) ).

cnf(s58,plain,
    ( ~ spl0_3
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(sat_conversion,[],[f677]) ).

cnf(s59,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | ~ spl0_24 ),
    inference(sat_conversion,[],[f691]) ).

cnf(s60,plain,
    ( ~ spl0_5
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(sat_conversion,[],[f693]) ).

cnf(s62,plain,
    ~ spl0_2,
    inference(sat_conversion,[],[f715]) ).

cnf(s64,plain,
    ~ spl0_1,
    inference(sat_conversion,[],[f738]) ).

cnf(s68,plain,
    ( ~ spl0_3
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(sat_conversion,[],[f771]) ).

cnf(s71,plain,
    ( ~ spl0_5
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(sat_conversion,[],[f805]) ).

cnf(s72,plain,
    ( ~ spl0_3
    | ~ spl0_38 ),
    inference(sat_conversion,[],[f814]) ).

cnf(s76,plain,
    ( ~ spl0_3
    | ~ spl0_7
    | ~ spl0_24 ),
    inference(sat_conversion,[],[f836]) ).

cnf(s80,plain,
    ( ~ spl0_9
    | ~ spl0_45 ),
    inference(sat_conversion,[],[f883]) ).

cnf(s88,plain,
    ( ~ spl0_3
    | ~ spl0_31 ),
    inference(sat_conversion,[],[f961]) ).

cnf(s89,plain,
    ( spl0_7
    | ~ spl0_32 ),
    inference(sat_conversion,[],[f963]) ).

cnf(s93,plain,
    ( ~ spl0_3
    | spl0_14
    | ~ spl0_20 ),
    inference(sat_conversion,[],[f982]) ).

cnf(s95,plain,
    ( ~ spl0_12
    | ~ spl0_14 ),
    inference(sat_conversion,[],[f998]) ).

cnf(s100,plain,
    ( ~ spl0_3
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(sat_conversion,[],[f1023]) ).

cnf(s102,plain,
    ( ~ spl0_3
    | ~ spl0_12
    | ~ spl0_18 ),
    inference(sat_conversion,[],[f1035]) ).

cnf(s106,plain,
    ( ~ spl0_3
    | ~ spl0_12
    | ~ spl0_19 ),
    inference(sat_conversion,[],[f1053]) ).

cnf(s109,plain,
    ( ~ spl0_3
    | ~ spl0_6
    | ~ spl0_22 ),
    inference(sat_conversion,[],[f1069]) ).

cnf(s112,plain,
    ( ~ spl0_3
    | ~ spl0_7
    | ~ spl0_22 ),
    inference(sat_conversion,[],[f1084]) ).

cnf(s114,plain,
    ( ~ spl0_3
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(sat_conversion,[],[f1093]) ).

cnf(s115,plain,
    ( ~ spl0_3
    | ~ spl0_7
    | ~ spl0_23 ),
    inference(sat_conversion,[],[f1100]) ).

cnf(s116,plain,
    ( ~ spl0_25
    | spl0_50 ),
    inference(sat_conversion,[],[f1101]) ).

cnf(s125,plain,
    ( ~ spl0_3
    | ~ spl0_7
    | ~ spl0_25 ),
    inference(sat_conversion,[],[f1200]) ).

cnf(s126,plain,
    ( ~ spl0_10
    | spl0_47 ),
    inference(sat_conversion,[],[f1201]) ).

cnf(s127,plain,
    ( spl0_22
    | ~ spl0_35 ),
    inference(sat_conversion,[],[f1203]) ).

cnf(s129,plain,
    ( ~ spl0_3
    | ~ spl0_10
    | ~ spl0_22 ),
    inference(sat_conversion,[],[f1228]) ).

cnf(s132,plain,
    ( ~ spl0_3
    | ~ spl0_9
    | ~ spl0_22 ),
    inference(sat_conversion,[],[f1250]) ).

cnf(s135,plain,
    ( ~ spl0_3
    | ~ spl0_8
    | ~ spl0_22 ),
    inference(sat_conversion,[],[f1263]) ).

cnf(s138,plain,
    ( ~ spl0_17
    | spl0_34 ),
    inference(sat_conversion,[],[f1266]) ).

cnf(s139,plain,
    ( ~ spl0_3
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(sat_conversion,[],[f1292]) ).

cnf(s141,plain,
    ( ~ spl0_24
    | spl0_45 ),
    inference(sat_conversion,[],[f1297]) ).

cnf(s142,plain,
    ( ~ spl0_12
    | ~ spl0_34 ),
    inference(sat_conversion,[],[f1307]) ).

cnf(s144,plain,
    ( ~ spl0_3
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(sat_conversion,[],[f1315]) ).

cnf(s145,plain,
    ( ~ spl0_13
    | spl0_38 ),
    inference(sat_conversion,[],[f1317]) ).

cnf(s146,plain,
    ( ~ spl0_4
    | ~ spl0_45 ),
    inference(sat_conversion,[],[f1324]) ).

cnf(s149,plain,
    ( ~ spl0_5
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f1335]) ).

cnf(s152,plain,
    ( ~ spl0_4
    | ~ spl0_13
    | ~ spl0_17 ),
    inference(sat_conversion,[],[f1365]) ).

cnf(s156,plain,
    ( ~ spl0_9
    | spl0_42 ),
    inference(sat_conversion,[],[f1368]) ).

cnf(s157,plain,
    ( ~ spl0_5
    | ~ spl0_9
    | ~ spl0_23 ),
    inference(sat_conversion,[],[f1399]) ).

cnf(s159,plain,
    ( ~ spl0_5
    | ~ spl0_13
    | ~ spl0_17 ),
    inference(sat_conversion,[],[f1403]) ).

cnf(s161,plain,
    ( ~ spl0_5
    | ~ spl0_9
    | ~ spl0_21 ),
    inference(sat_conversion,[],[f1416]) ).

cnf(s162,plain,
    ( ~ spl0_5
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(sat_conversion,[],[f1419]) ).

cnf(s165,plain,
    ( ~ spl0_4
    | ~ spl0_42 ),
    inference(sat_conversion,[],[f1432]) ).

cnf(s169,plain,
    ( ~ spl0_8
    | ~ spl0_38 ),
    inference(sat_conversion,[],[f1442]) ).

cnf(s172,plain,
    ( ~ spl0_4
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(sat_conversion,[],[f1469]) ).

cnf(s175,plain,
    ( ~ spl0_4
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(sat_conversion,[],[f1479]) ).

cnf(s178,plain,
    ( ~ spl0_4
    | ~ spl0_31 ),
    inference(sat_conversion,[],[f1491]) ).

cnf(s190,plain,
    ( ~ spl0_4
    | ~ spl0_10
    | ~ spl0_22 ),
    inference(sat_conversion,[],[f1563]) ).

cnf(s193,plain,
    ( ~ spl0_4
    | ~ spl0_6
    | ~ spl0_22 ),
    inference(sat_conversion,[],[f1574]) ).

cnf(s196,plain,
    ( ~ spl0_7
    | ~ spl0_35 ),
    inference(sat_conversion,[],[f1589]) ).

cnf(s198,plain,
    ( ~ spl0_22
    | spl0_35 ),
    inference(sat_conversion,[],[f1611]) ).

cnf(s199,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | ~ spl0_25 ),
    inference(sat_conversion,[],[f1624]) ).

cnf(s201,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | ~ spl0_23 ),
    inference(sat_conversion,[],[f1637]) ).

cnf(s203,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(sat_conversion,[],[f1651]) ).

cnf(s208,plain,
    ( ~ spl0_4
    | ~ spl0_8
    | ~ spl0_22 ),
    inference(sat_conversion,[],[f1680]) ).

cnf(s213,plain,
    ( ~ spl0_4
    | ~ spl0_12
    | ~ spl0_20 ),
    inference(sat_conversion,[],[f1701]) ).

cnf(s216,plain,
    ( ~ spl0_4
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(sat_conversion,[],[f1710]) ).

cnf(s219,plain,
    ( ~ spl0_4
    | ~ spl0_12
    | ~ spl0_19 ),
    inference(sat_conversion,[],[f1717]) ).

cnf(s225,plain,
    ( ~ spl0_4
    | ~ spl0_12
    | ~ spl0_18 ),
    inference(sat_conversion,[],[f1745]) ).

cnf(s232,plain,
    ( ~ spl0_5
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f1758]) ).

cnf(s238,plain,
    ( ~ spl0_5
    | ~ spl0_12
    | ~ spl0_19 ),
    inference(sat_conversion,[],[f1784]) ).

cnf(s241,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | ~ spl0_24 ),
    inference(sat_conversion,[],[f1802]) ).

cnf(s247,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_24 ),
    inference(sat_conversion,[],[f1831]) ).

cnf(s255,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(sat_conversion,[],[f1849]) ).

cnf(s261,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_23 ),
    inference(sat_conversion,[],[f1875]) ).

cnf(s268,plain,
    ( ~ spl0_5
    | ~ spl0_9
    | ~ spl0_22 ),
    inference(sat_conversion,[],[f1910]) ).

cnf(s275,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | ~ spl0_22 ),
    inference(sat_conversion,[],[f1932]) ).

cnf(s279,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | ~ spl0_22 ),
    inference(sat_conversion,[],[f1952]) ).

cnf(s282,plain,
    ( spl0_3
    | spl0_4
    | spl0_5 ),
    inference(rat,[],[s1,s62,s64]) ).

cnf(s283,plain,
    ( ~ spl0_9
    | ~ spl0_5 ),
    inference(rat,[],[s141,s5,s80,s157,s161,s268,s116,s232]) ).

cnf(s284,plain,
    ( spl0_12
    | spl0_11
    | spl0_13
    | spl0_35
    | spl0_32
    | ~ spl0_5 ),
    inference(rat,[],[s3,s71,s162,s38,s7,s36,s34]) ).

cnf(s285,plain,
    ( ~ spl0_12
    | spl0_45
    | ~ spl0_5
    | spl0_41 ),
    inference(rat,[],[s9,s19,s22,s95,s238,s18,s283]) ).

cnf(s286,plain,
    ( spl0_7
    | spl0_6
    | ~ spl0_5
    | spl0_41 ),
    inference(rat,[],[s38,s60,s7,s284,s36,s285,s41,s145,s127,s59,s169,s279,s2,s89,s34,s126,s149,s283]) ).

cnf(s287,plain,
    ( ~ spl0_7
    | ~ spl0_5 ),
    inference(rat,[],[s198,s5,s196,s247,s255,s261,s116,s232]) ).

cnf(s288,plain,
    ( spl0_4
    | spl0_3 ),
    inference(rat,[],[s3,s60,s71,s159,s162,s38,s7,s36,s285,s41,s127,s241,s275,s286,s89,s287,s34,s282,s17]) ).

cnf(s289,plain,
    ( spl0_12
    | spl0_11
    | spl0_35
    | spl0_32
    | ~ spl0_4 ),
    inference(rat,[],[s3,s152,s172,s175,s38,s7,s36,s178]) ).

cnf(s290,plain,
    ( ~ spl0_12
    | ~ spl0_4 ),
    inference(rat,[],[s4,s138,s216,s219,s225,s213,s142]) ).

cnf(s291,plain,
    ( spl0_35
    | spl0_32
    | ~ spl0_4 ),
    inference(rat,[],[s38,s54,s7,s289,s178,s36,s290]) ).

cnf(s292,plain,
    ( spl0_7
    | ~ spl0_4 ),
    inference(rat,[],[s2,s190,s193,s208,s127,s291,s89,s156,s165]) ).

cnf(s293,plain,
    ~ spl0_4,
    inference(rat,[],[s198,s5,s196,s199,s201,s203,s292,s141,s146]) ).

cnf(s295,plain,
    spl0_3,
    inference(rat,[],[s288,s293]) ).

cnf(s297,plain,
    ~ spl0_31,
    inference(rat,[],[s88,s295]) ).

cnf(s299,plain,
    ~ spl0_38,
    inference(rat,[],[s72,s295]) ).

cnf(s301,plain,
    ~ spl0_13,
    inference(rat,[],[s145,s299]) ).

cnf(s302,plain,
    ( spl0_12
    | spl0_11
    | spl0_35
    | spl0_32 ),
    inference(rat,[],[s3,s68,s139,s38,s7,s36,s301,s295,s297]) ).

cnf(s303,plain,
    ~ spl0_12,
    inference(rat,[],[s4,s93,s100,s102,s106,s144,s95,s295]) ).

cnf(s304,plain,
    ~ spl0_33,
    inference(rat,[],[s36,s303]) ).

cnf(s305,plain,
    ( spl0_35
    | spl0_32 ),
    inference(rat,[],[s38,s58,s7,s302,s303,s304,s297,s295]) ).

cnf(s306,plain,
    spl0_7,
    inference(rat,[],[s2,s109,s129,s132,s135,s127,s305,s89,s295]) ).

cnf(s309,plain,
    ~ spl0_25,
    inference(rat,[],[s125,s295,s306]) ).

cnf(s310,plain,
    ~ spl0_23,
    inference(rat,[],[s115,s295,s306]) ).

cnf(s311,plain,
    ~ spl0_21,
    inference(rat,[],[s114,s295,s306]) ).

cnf(s312,plain,
    ~ spl0_22,
    inference(rat,[],[s112,s295,s306]) ).

cnf(s314,plain,
    ~ spl0_24,
    inference(rat,[],[s76,s295,s306]) ).

cnf(s317,plain,
    $false,
    inference(rat,[],[s5,s309,s312,s314,s311,s310]) ).

fof(f1953,plain,
    $false,
    inference(avatar_sat_refutation,[],[s317]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : ALG183+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.03  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.05/0.12  % Computer : n012.cluster.edu
% 0.05/0.12  % Model    : x86_64 x86_64
% 0.05/0.12  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.12  % Memory   : 8046.5625MB
% 0.05/0.12  % OS       : Linux 6.8.0-71-generic
% 0.05/0.12  % CPULimit : 300
% 0.05/0.12  % WCLimit  : 300
% 0.05/0.12  % DateTime : Mon Sep 28 19:39:04 UTC 2026
% 0.05/0.12  % CPUTime  : 
% 0.05/0.12  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.05/0.14  Running first-order theorem proving
% 0.05/0.14  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.18/0.82  % (3665926)Detected formulas, will run a generic FOF schedule.
% 3.18/0.82  % (3665933)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=355622448:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.18/0.82  % (3665935)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2260056114:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.18/0.82  % (3665936)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1113466711:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.18/0.82  % (3665931)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2289496815:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.18/0.82  % (3665934)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2241423792:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.18/0.82  % (3665932)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3214052714:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.18/0.82  % (3665937)dis-21_1_sil=8000:lcm=predicate:random_seed=4269289233:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.18/0.82  % (3665937)Refutation not found, incomplete strategy
% 3.18/0.82  % (3665937)------------------------------
% 3.18/0.82  % (3665937)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.18/0.82  % (3665937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.18/0.82  % (3665937)CaDiCaL version: 2.1.3
% 3.18/0.82  % (3665937)Termination reason: Refutation not found, incomplete strategy
% 3.18/0.82  % (3665937)Time elapsed: 0.002 s
% 3.18/0.82  % (3665937)Peak memory usage: 88 MB
% 3.18/0.82  % (3665937)Instructions burned: 8 (million)
% 3.18/0.82  % (3665935)Instruction limit reached! 
% 3.18/0.82  % (3665935)------------------------------
% 3.18/0.82  % (3665935)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.18/0.82  % (3665935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.18/0.82  % (3665935)CaDiCaL version: 2.1.3
% 3.18/0.82  % (3665935)Termination reason: Instruction limit
% 3.18/0.82  % (3665935)Termination phase: Saturation
% 3.18/0.82  % (3665935)Time elapsed: 0.026 s
% 3.18/0.82  % (3665935)Peak memory usage: 87 MB
% 3.18/0.82  % (3665935)Instructions burned: 120 (million)
% 3.18/0.82  % (3665934)Instruction limit reached! 
% 3.18/0.82  % (3665934)------------------------------
% 3.18/0.82  % (3665934)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.18/0.82  % (3665934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.18/0.82  % (3665934)CaDiCaL version: 2.1.3
% 3.18/0.82  % (3665934)Termination reason: Instruction limit
% 3.18/0.82  % (3665934)Termination phase: Saturation
% 3.18/0.82  % (3665934)Time elapsed: 0.031 s
% 3.18/0.82  % (3665934)Peak memory usage: 89 MB
% 3.18/0.82  % (3665934)Instructions burned: 109 (million)
% 3.18/0.82  % (3665936)Instruction limit reached! 
% 3.18/0.82  % (3665936)------------------------------
% 3.18/0.82  % (3665936)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.18/0.82  % (3665936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.18/0.82  % (3665936)CaDiCaL version: 2.1.3
% 3.18/0.82  % (3665936)Termination reason: Instruction limit
% 3.18/0.82  % (3665936)Termination phase: Saturation
% 3.18/0.82  % (3665936)Time elapsed: 0.040 s
% 3.18/0.82  % (3665936)Peak memory usage: 89 MB
% 3.18/0.82  % (3665936)Instructions burned: 142 (million)
% 3.18/0.82  % (3665937)------------------------------
% 3.18/0.82  % (3665937)------------------------------
% 3.18/0.82  % (3665945)lrs+10_1_sil=8000:sp=occurrence:random_seed=210683873:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.18/0.82  % (3665946)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1267145369:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 3.18/0.82  % (3665945)First to succeed.
% 3.18/0.82  % (3665946)Also succeeded, but the first one will report.
% 3.18/0.82  % (3665947)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3082796218:i=325:sd=1:ss=axioms:sgt=32_2998 on theBenchmark for (2998ds/325Mi)
% 3.18/0.82  % (3665945)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3665926"
% 3.18/0.82  % (3665947)Also succeeded, but the first one will report.
% 3.18/0.82  [W928 19:39:05.681740006 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 3.18/0.82  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.18/0.82  [W928 19:39:05.681801433 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 3.18/0.82  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.18/0.82  [W928 19:39:05.681801987 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 3.18/0.82  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.18/0.82  [W928 19:39:05.681817179 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 3.18/0.82  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.18/0.82  [W928 19:39:05.681822083 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 3.18/0.82  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.18/0.82  [W928 19:39:05.681828269 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 3.18/0.82  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.18/0.82  [W928 19:39:05.681837060 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 3.18/0.82  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.18/0.82  [W928 19:39:05.681841458 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 3.18/0.82  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.18/0.82  [W928 19:39:05.681844793 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 3.18/0.82  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.18/0.82  [W928 19:39:05.681847315 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 3.18/0.82  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.18/0.82  [W928 19:39:05.681858386 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 3.18/0.82  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.18/0.82  [W928 19:39:05.681864733 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 3.18/0.82  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.18/0.82  [W928 19:39:05.682049287 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 3.18/0.82  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.18/0.82  [W928 19:39:05.682065935 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 3.18/0.82  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.18/0.82  [W928 19:39:05.682086781 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 3.18/0.82  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.18/0.82  [W928 19:39:05.682100984 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 3.18/0.82  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.18/0.82  [W928 19:39:05.682115940 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 3.18/0.82  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.18/0.82  [W928 19:39:05.682121673 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 3.18/0.82  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.18/0.82  % (3665950)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2281670893:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 3.18/0.82  % (3665945)Refutation found. Thanks to Tanya!
% 3.18/0.82  % SZS status Theorem for theBenchmark
% 3.18/0.82  % SZS output start Proof for theBenchmark
% See solution above
% 3.63/0.92  % (3665945)------------------------------
% 3.63/0.92  % (3665945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/0.92  % (3665945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/0.92  % (3665945)CaDiCaL version: 2.1.3
% 3.63/0.92  % (3665945)Termination reason: Refutation
% 3.63/0.92  % (3665945)Time elapsed: 0.019 s
% 3.63/0.92  % (3665945)Peak memory usage: 90 MB
% 3.63/0.92  % (3665945)Instructions burned: 61 (million)
% 3.63/0.92  % (3665945)------------------------------
% 3.63/0.92  % (3665945)------------------------------
% 3.63/0.92  % (3665926)Success in time 0.484 s
% 3.63/0.92  % Vampire exiting
%------------------------------------------------------------------------------