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Vampire---5.0.1.THM-Ref.s

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

% Computer : n002.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 09:09:30 AM UTC 2026

% Result   : Theorem 4.73s 1.34s
% Output   : Refutation 5.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :   55
% Syntax   : Number of formulae    :  728 (  89 unt;  50 def)
%            Number of atoms       : 2277 ( 925 equ)
%            Maximal formula atoms :  110 (   3 avg)
%            Number of connectives : 2590 (1041   ~;1157   |; 340   &)
%                                         (  50 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   70 (   4 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :   52 (  50 usr;  51 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;  10 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f35,plain,
    j(op2(e23,e24)) = op1(j(e23),j(e24)),
    inference(cnf_transformation,[],[f9]) ).

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

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

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

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

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

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

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

fof(f106,plain,
    e12 = op1(e14,e13),
    inference(cnf_transformation,[],[f4]) ).

fof(f107,plain,
    e11 = op1(e14,e12),
    inference(cnf_transformation,[],[f4]) ).

fof(f108,plain,
    e13 = op1(e14,e11),
    inference(cnf_transformation,[],[f4]) ).

fof(f110,plain,
    e11 = op1(e13,e14),
    inference(cnf_transformation,[],[f4]) ).

fof(f112,plain,
    e10 = op1(e13,e12),
    inference(cnf_transformation,[],[f4]) ).

fof(f113,plain,
    e12 = op1(e13,e11),
    inference(cnf_transformation,[],[f4]) ).

fof(f114,plain,
    e13 = op1(e13,e10),
    inference(cnf_transformation,[],[f4]) ).

fof(f116,plain,
    e11 = op1(e12,e13),
    inference(cnf_transformation,[],[f4]) ).

fof(f118,plain,
    e10 = op1(e12,e11),
    inference(cnf_transformation,[],[f4]) ).

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

fof(f121,plain,
    e10 = op1(e11,e13),
    inference(cnf_transformation,[],[f4]) ).

fof(f122,plain,
    e13 = op1(e11,e12),
    inference(cnf_transformation,[],[f4]) ).

fof(f123,plain,
    e14 = op1(e11,e11),
    inference(cnf_transformation,[],[f4]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f248,plain,
    ( e12 != j(e21)
    | spl0_18 ),
    inference(avatar_component_clause,[],[f247]) ).

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

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

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

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

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

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

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

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

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

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

fof(f265,plain,
    ( e13 != j(e20)
    | spl0_22 ),
    inference(avatar_component_clause,[],[f264]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f378,plain,
    ( e21 != h(e10)
    | spl0_49 ),
    inference(avatar_component_clause,[],[f377]) ).

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

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

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

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

fof(f385,plain,
    j(e21) = op1(j(e24),j(e24)),
    inference(forward_demodulation,[],[f30,f80]) ).

fof(f386,plain,
    j(e22) = op1(j(e24),j(e23)),
    inference(forward_demodulation,[],[f31,f81]) ).

fof(f387,plain,
    j(e20) = op1(j(e24),j(e22)),
    inference(forward_demodulation,[],[f32,f82]) ).

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

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

fof(f390,plain,
    j(e22) = op1(j(e23),j(e24)),
    inference(forward_demodulation,[],[f35,f85]) ).

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

fof(f436,plain,
    ( e13 = e14
    | ~ spl0_2
    | ~ spl0_26 ),
    inference(forward_demodulation,[],[f435,f182]) ).

fof(f437,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_26 ),
    inference(forward_subsumption_resolution,[],[f436,f165]) ).

fof(f438,plain,
    ( ~ spl0_2
    | ~ spl0_26 ),
    inference(avatar_contradiction_clause,[],[f437]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f481,plain,
    ( e11 = e14
    | ~ spl0_16
    | ~ spl0_19 ),
    inference(superposition,[],[f253,f241]) ).

fof(f482,plain,
    ( e11 = e14
    | ~ spl0_16
    | ~ spl0_19 ),
    inference(superposition,[],[f241,f253]) ).

fof(f483,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[],[f482,f168]) ).

fof(f484,plain,
    ( ~ spl0_16
    | ~ spl0_19 ),
    inference(avatar_contradiction_clause,[],[f483]) ).

fof(f485,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[],[f481,f168]) ).

fof(f486,plain,
    ( ~ spl0_16
    | ~ spl0_19 ),
    inference(avatar_contradiction_clause,[],[f485]) ).

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

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

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

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

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

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

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

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

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

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

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

fof(f528,plain,
    ( e12 = e13
    | ~ spl0_8
    | ~ spl0_32 ),
    inference(forward_demodulation,[],[f527,f207]) ).

fof(f529,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_32 ),
    inference(forward_subsumption_resolution,[],[f528,f167]) ).

fof(f530,plain,
    ( ~ spl0_8
    | ~ spl0_32 ),
    inference(avatar_contradiction_clause,[],[f529]) ).

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(f539,plain,
    ( e11 = e13
    | ~ spl0_19
    | ~ spl0_34 ),
    inference(forward_demodulation,[],[f538,f253]) ).

fof(f540,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_34 ),
    inference(forward_subsumption_resolution,[],[f539,f169]) ).

fof(f541,plain,
    ( ~ spl0_19
    | ~ spl0_34 ),
    inference(avatar_contradiction_clause,[],[f540]) ).

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

fof(f544,plain,
    ( e13 = e14
    | ~ spl0_16
    | ~ spl0_17 ),
    inference(superposition,[],[f245,f241]) ).

fof(f548,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[],[f544,f165]) ).

fof(f549,plain,
    ( ~ spl0_16
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f548]) ).

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(f567,plain,
    ( e11 = e12
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(superposition,[],[f211,f207]) ).

fof(f571,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[],[f567,f170]) ).

fof(f572,plain,
    ( ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f571]) ).

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

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

fof(f610,plain,
    ( e10 = e13
    | ~ spl0_17
    | ~ spl0_20 ),
    inference(superposition,[],[f257,f245]) ).

fof(f614,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[],[f610,f172]) ).

fof(f615,plain,
    ( ~ spl0_17
    | ~ spl0_20 ),
    inference(avatar_contradiction_clause,[],[f614]) ).

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

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

fof(f661,plain,
    ( e24 = h(e12)
    | ~ spl0_3 ),
    inference(superposition,[],[f25,f186]) ).

fof(f679,plain,
    ( op1(e10,e10) = j(e21)
    | ~ spl0_5 ),
    inference(superposition,[],[f385,f194]) ).

fof(f680,plain,
    ( e24 = h(e10)
    | ~ spl0_5 ),
    inference(superposition,[],[f25,f194]) ).

fof(f681,plain,
    ( e13 = op1(e10,e10)
    | ~ spl0_5
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f679,f245]) ).

fof(f683,plain,
    ( e10 = e13
    | ~ spl0_5
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f681,f129]) ).

fof(f685,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[],[f683,f172]) ).

fof(f686,plain,
    ( ~ spl0_5
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f685]) ).

fof(f688,plain,
    ( e12 = e13
    | ~ spl0_13
    | ~ spl0_33 ),
    inference(forward_demodulation,[],[f533,f228]) ).

fof(f693,plain,
    ( e12 = op1(e10,e10)
    | ~ spl0_5
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f679,f249]) ).

fof(f696,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_33 ),
    inference(forward_subsumption_resolution,[],[f688,f167]) ).

fof(f697,plain,
    ( ~ spl0_13
    | ~ spl0_33 ),
    inference(avatar_contradiction_clause,[],[f696]) ).

fof(f698,plain,
    ( e10 = e12
    | ~ spl0_5
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f693,f129]) ).

fof(f699,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[],[f698,f173]) ).

fof(f700,plain,
    ( ~ spl0_5
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f699]) ).

fof(f703,plain,
    ( e11 = op1(e10,e10)
    | ~ spl0_5
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f679,f253]) ).

fof(f706,plain,
    ( e10 = e11
    | ~ spl0_5
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f703,f129]) ).

fof(f711,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[],[f706,f174]) ).

fof(f712,plain,
    ( ~ spl0_5
    | ~ spl0_19 ),
    inference(avatar_contradiction_clause,[],[f711]) ).

fof(f716,plain,
    ( e14 = op1(e10,e10)
    | ~ spl0_5
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f679,f241]) ).

fof(f717,plain,
    ( e10 = e14
    | ~ spl0_5
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f716,f129]) ).

fof(f718,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[],[f717,f171]) ).

fof(f719,plain,
    ( ~ spl0_5
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f718]) ).

fof(f731,plain,
    ( e21 = h(e10)
    | ~ spl0_20 ),
    inference(superposition,[],[f28,f257]) ).

fof(f732,plain,
    ( $false
    | ~ spl0_20
    | spl0_49 ),
    inference(forward_subsumption_resolution,[],[f731,f378]) ).

fof(f733,plain,
    ( ~ spl0_20
    | spl0_49 ),
    inference(avatar_contradiction_clause,[],[f732]) ).

fof(f740,plain,
    ( e14 = j(e20)
    | ~ spl0_30 ),
    inference(superposition,[],[f20,f299]) ).

fof(f741,plain,
    ( $false
    | spl0_21
    | ~ spl0_30 ),
    inference(forward_subsumption_resolution,[],[f740,f261]) ).

fof(f742,plain,
    ( spl0_21
    | ~ spl0_30 ),
    inference(avatar_contradiction_clause,[],[f741]) ).

fof(f758,plain,
    ( e14 = j(e21)
    | ~ spl0_29 ),
    inference(superposition,[],[f20,f295]) ).

fof(f759,plain,
    ( $false
    | spl0_16
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[],[f758,f240]) ).

fof(f760,plain,
    ( spl0_16
    | ~ spl0_29 ),
    inference(avatar_contradiction_clause,[],[f759]) ).

fof(f769,plain,
    ( e22 = h(e11)
    | ~ spl0_14 ),
    inference(superposition,[],[f27,f232]) ).

fof(f807,plain,
    ( e23 = h(e11)
    | ~ spl0_9 ),
    inference(superposition,[],[f26,f211]) ).

fof(f808,plain,
    ( e22 = e23
    | ~ spl0_9
    | ~ spl0_43 ),
    inference(forward_demodulation,[],[f807,f354]) ).

fof(f810,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_43 ),
    inference(forward_subsumption_resolution,[],[f808,f157]) ).

fof(f811,plain,
    ( ~ spl0_9
    | ~ spl0_43 ),
    inference(avatar_contradiction_clause,[],[f810]) ).

fof(f820,plain,
    ( e23 = h(e13)
    | ~ spl0_7 ),
    inference(superposition,[],[f26,f203]) ).

fof(f838,plain,
    ( e13 = j(e23)
    | ~ spl0_32 ),
    inference(superposition,[],[f21,f308]) ).

fof(f843,plain,
    ( e12 = j(e22)
    | ~ spl0_38 ),
    inference(superposition,[],[f22,f333]) ).

fof(f844,plain,
    ( e11 = e12
    | ~ spl0_14
    | ~ spl0_38 ),
    inference(forward_demodulation,[],[f843,f232]) ).

fof(f845,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_38 ),
    inference(forward_subsumption_resolution,[],[f844,f170]) ).

fof(f846,plain,
    ( ~ spl0_14
    | ~ spl0_38 ),
    inference(avatar_contradiction_clause,[],[f845]) ).

fof(f850,plain,
    ( e12 = j(e20)
    | ~ spl0_40 ),
    inference(superposition,[],[f22,f341]) ).

fof(f851,plain,
    ( spl0_23
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f850,f339,f268]) ).

fof(f855,plain,
    ( e20 = h(e12)
    | ~ spl0_23 ),
    inference(superposition,[],[f29,f270]) ).

fof(f861,plain,
    ( $false
    | spl0_6
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[],[f440,f198]) ).

fof(f862,plain,
    ( spl0_6
    | ~ spl0_27 ),
    inference(avatar_contradiction_clause,[],[f861]) ).

fof(f879,plain,
    ( e12 = j(e21)
    | ~ spl0_39 ),
    inference(superposition,[],[f22,f337]) ).

fof(f880,plain,
    ( $false
    | spl0_18
    | ~ spl0_39 ),
    inference(forward_subsumption_resolution,[],[f879,f248]) ).

fof(f881,plain,
    ( spl0_18
    | ~ spl0_39 ),
    inference(avatar_contradiction_clause,[],[f880]) ).

fof(f895,plain,
    ( spl0_40
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f855,f268,f339]) ).

fof(f908,plain,
    ( $false
    | spl0_7
    | ~ spl0_32 ),
    inference(forward_subsumption_resolution,[],[f838,f202]) ).

fof(f909,plain,
    ( spl0_7
    | ~ spl0_32 ),
    inference(avatar_contradiction_clause,[],[f908]) ).

fof(f912,plain,
    ( e11 = e13
    | ~ spl0_14
    | ~ spl0_33 ),
    inference(forward_demodulation,[],[f533,f232]) ).

fof(f915,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_33 ),
    inference(forward_subsumption_resolution,[],[f912,f169]) ).

fof(f916,plain,
    ( ~ spl0_14
    | ~ spl0_33 ),
    inference(avatar_contradiction_clause,[],[f915]) ).

fof(f937,plain,
    ( e13 = j(e20)
    | ~ spl0_35 ),
    inference(superposition,[],[f21,f320]) ).

fof(f942,plain,
    ( spl0_32
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f820,f201,f306]) ).

fof(f943,plain,
    ( e10 = e14
    | ~ spl0_16
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f241,f257]) ).

fof(f952,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[],[f943,f171]) ).

fof(f953,plain,
    ( ~ spl0_16
    | ~ spl0_20 ),
    inference(avatar_contradiction_clause,[],[f952]) ).

fof(f961,plain,
    ( e24 = h(e13)
    | ~ spl0_2 ),
    inference(superposition,[],[f25,f182]) ).

fof(f972,plain,
    ( op1(e14,e14) = j(e21)
    | ~ spl0_1 ),
    inference(superposition,[],[f385,f178]) ).

fof(f973,plain,
    ( e24 = h(e14)
    | ~ spl0_1 ),
    inference(superposition,[],[f25,f178]) ).

fof(f976,plain,
    ( e14 = op1(e14,e14)
    | ~ spl0_1
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f972,f241]) ).

fof(f978,plain,
    ( e10 = e14
    | ~ spl0_1
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f976,f105]) ).

fof(f980,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[],[f978,f171]) ).

fof(f981,plain,
    ( ~ spl0_1
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f980]) ).

fof(f988,plain,
    ( e22 = e24
    | ~ spl0_4
    | ~ spl0_43 ),
    inference(forward_demodulation,[],[f625,f354]) ).

fof(f991,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_43 ),
    inference(forward_subsumption_resolution,[],[f988,f156]) ).

fof(f992,plain,
    ( ~ spl0_4
    | ~ spl0_43 ),
    inference(avatar_contradiction_clause,[],[f991]) ).

fof(f1014,plain,
    ( j(e22) = op1(j(e24),e13)
    | ~ spl0_7 ),
    inference(superposition,[],[f386,f203]) ).

fof(f1015,plain,
    ( op1(e11,e13) = j(e22)
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1014,f190]) ).

fof(f1018,plain,
    ( e23 = h(e10)
    | ~ spl0_10 ),
    inference(superposition,[],[f26,f215]) ).

fof(f1045,plain,
    ( e14 = j(e21)
    | ~ spl0_29 ),
    inference(superposition,[],[f20,f295]) ).

fof(f1052,plain,
    ( e12 = j(e20)
    | ~ spl0_40 ),
    inference(superposition,[],[f22,f341]) ).

fof(f1060,plain,
    ( j(e20) = op1(e11,j(e22))
    | ~ spl0_4 ),
    inference(superposition,[],[f387,f190]) ).

fof(f1063,plain,
    ( op1(e11,e10) = j(e20)
    | ~ spl0_4
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1060,f236]) ).

fof(f1065,plain,
    ( e12 = op1(e11,e10)
    | ~ spl0_4
    | ~ spl0_15
    | ~ spl0_23 ),
    inference(forward_demodulation,[],[f1063,f270]) ).

fof(f1067,plain,
    ( e11 = e12
    | ~ spl0_4
    | ~ spl0_15
    | ~ spl0_23 ),
    inference(forward_demodulation,[],[f1065,f124]) ).

fof(f1070,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_15
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[],[f1067,f170]) ).

fof(f1071,plain,
    ( ~ spl0_4
    | ~ spl0_15
    | ~ spl0_23 ),
    inference(avatar_contradiction_clause,[],[f1070]) ).

fof(f1075,plain,
    ( spl0_50
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f629,f276,f381]) ).

fof(f1081,plain,
    ( e14 = op1(e11,e13)
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1015,f220]) ).

fof(f1084,plain,
    ( e10 = e14
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1081,f121]) ).

fof(f1088,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f1084,f171]) ).

fof(f1089,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1088]) ).

fof(f1112,plain,
    ( $false
    | spl0_13
    | ~ spl0_38 ),
    inference(forward_subsumption_resolution,[],[f843,f227]) ).

fof(f1113,plain,
    ( spl0_13
    | ~ spl0_38 ),
    inference(avatar_contradiction_clause,[],[f1112]) ).

fof(f1119,plain,
    ( spl0_26
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f973,f176,f281]) ).

fof(f1138,plain,
    ( op1(e14,e14) = j(e21)
    | ~ spl0_1 ),
    inference(superposition,[],[f385,f178]) ).

fof(f1146,plain,
    ( j(e20) = op1(j(e24),e12)
    | ~ spl0_13 ),
    inference(superposition,[],[f387,f228]) ).

fof(f1160,plain,
    ( e14 = j(e24)
    | ~ spl0_26 ),
    inference(superposition,[],[f20,f283]) ).

fof(f1180,plain,
    ( e14 = op1(e14,j(e20))
    | ~ spl0_1 ),
    inference(superposition,[],[f389,f178]) ).

fof(f1183,plain,
    ( e14 = op1(e14,e11)
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f1180,f274]) ).

fof(f1185,plain,
    ( e13 = e14
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f1183,f108]) ).

fof(f1188,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[],[f1185,f165]) ).

fof(f1189,plain,
    ( ~ spl0_1
    | ~ spl0_24 ),
    inference(avatar_contradiction_clause,[],[f1188]) ).

fof(f1197,plain,
    ( e14 = op1(e14,e13)
    | ~ spl0_1
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f1180,f266]) ).

fof(f1200,plain,
    ( e12 = e14
    | ~ spl0_1
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f1197,f106]) ).

fof(f1205,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[],[f1200,f166]) ).

fof(f1206,plain,
    ( ~ spl0_1
    | ~ spl0_22 ),
    inference(avatar_contradiction_clause,[],[f1205]) ).

fof(f1212,plain,
    ( e11 = e13
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(superposition,[],[f211,f203]) ).

fof(f1221,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[],[f1212,f169]) ).

fof(f1222,plain,
    ( ~ spl0_7
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1221]) ).

fof(f1226,plain,
    ( e10 = e11
    | ~ spl0_20
    | ~ spl0_44 ),
    inference(forward_demodulation,[],[f479,f257]) ).

fof(f1230,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_44 ),
    inference(forward_subsumption_resolution,[],[f1226,f174]) ).

fof(f1231,plain,
    ( ~ spl0_20
    | ~ spl0_44 ),
    inference(avatar_contradiction_clause,[],[f1230]) ).

fof(f1234,plain,
    ( e10 = j(e21)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1138,f105]) ).

fof(f1243,plain,
    ( e11 = e13
    | ~ spl0_4
    | ~ spl0_31 ),
    inference(forward_demodulation,[],[f441,f190]) ).

fof(f1253,plain,
    ( op1(e11,e12) = j(e20)
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1146,f190]) ).

fof(f1254,plain,
    ( $false
    | spl0_1
    | ~ spl0_26 ),
    inference(forward_subsumption_resolution,[],[f1160,f177]) ).

fof(f1255,plain,
    ( spl0_1
    | ~ spl0_26 ),
    inference(avatar_contradiction_clause,[],[f1254]) ).

fof(f1260,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[],[f1243,f169]) ).

fof(f1261,plain,
    ( ~ spl0_4
    | ~ spl0_31 ),
    inference(avatar_contradiction_clause,[],[f1260]) ).

fof(f1268,plain,
    ( $false
    | spl0_22
    | ~ spl0_35 ),
    inference(forward_subsumption_resolution,[],[f937,f265]) ).

fof(f1269,plain,
    ( spl0_22
    | ~ spl0_35 ),
    inference(avatar_contradiction_clause,[],[f1268]) ).

fof(f1271,plain,
    ( e20 = e23
    | ~ spl0_10
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1018,f383]) ).

fof(f1282,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_50 ),
    inference(forward_subsumption_resolution,[],[f1271,f162]) ).

fof(f1283,plain,
    ( ~ spl0_10
    | ~ spl0_50 ),
    inference(avatar_contradiction_clause,[],[f1282]) ).

fof(f1301,plain,
    ( e13 = j(e20)
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1253,f122]) ).

fof(f1304,plain,
    ( op1(e11,e11) = j(e21)
    | ~ spl0_4 ),
    inference(superposition,[],[f385,f190]) ).

fof(f1305,plain,
    ( j(e22) = op1(e11,j(e23))
    | ~ spl0_4 ),
    inference(superposition,[],[f386,f190]) ).

fof(f1308,plain,
    ( e11 = op1(e11,j(e20))
    | ~ spl0_4 ),
    inference(superposition,[],[f389,f190]) ).

fof(f1309,plain,
    ( e11 = op1(e11,e13)
    | ~ spl0_4
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f1308,f266]) ).

fof(f1314,plain,
    ( e10 = e11
    | ~ spl0_4
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f1309,f121]) ).

fof(f1318,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[],[f1314,f174]) ).

fof(f1319,plain,
    ( ~ spl0_4
    | ~ spl0_22 ),
    inference(avatar_contradiction_clause,[],[f1318]) ).

fof(f1327,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_13
    | spl0_22 ),
    inference(forward_subsumption_resolution,[],[f1301,f265]) ).

fof(f1328,plain,
    ( ~ spl0_4
    | ~ spl0_13
    | spl0_22 ),
    inference(avatar_contradiction_clause,[],[f1327]) ).

fof(f1349,plain,
    ( op1(e11,e10) = j(e22)
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1305,f215]) ).

fof(f1365,plain,
    ( e13 = op1(e11,e10)
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1349,f224]) ).

fof(f1367,plain,
    ( e11 = e13
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1365,f124]) ).

fof(f1369,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[],[f1367,f169]) ).

fof(f1370,plain,
    ( ~ spl0_4
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1369]) ).

fof(f1386,plain,
    ( e10 = e13
    | ~ spl0_15
    | ~ spl0_33 ),
    inference(forward_demodulation,[],[f533,f236]) ).

fof(f1404,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_33 ),
    inference(forward_subsumption_resolution,[],[f1386,f172]) ).

fof(f1405,plain,
    ( ~ spl0_15
    | ~ spl0_33 ),
    inference(avatar_contradiction_clause,[],[f1404]) ).

fof(f1413,plain,
    ( e12 = e14
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f241,f249]) ).

fof(f1416,plain,
    ( e12 = e14
    | ~ spl0_18
    | ~ spl0_29 ),
    inference(forward_demodulation,[],[f1045,f249]) ).

fof(f1427,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[],[f1413,f166]) ).

fof(f1428,plain,
    ( ~ spl0_16
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1427]) ).

fof(f1431,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[],[f1416,f166]) ).

fof(f1432,plain,
    ( ~ spl0_18
    | ~ spl0_29 ),
    inference(avatar_contradiction_clause,[],[f1431]) ).

fof(f1438,plain,
    ( e14 = j(e21)
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1304,f123]) ).

fof(f1448,plain,
    ( e22 = h(e13)
    | ~ spl0_12 ),
    inference(superposition,[],[f27,f224]) ).

fof(f1483,plain,
    ( j(e22) = op1(e12,j(e24))
    | ~ spl0_8 ),
    inference(superposition,[],[f390,f207]) ).

fof(f1486,plain,
    ( op1(e12,e11) = j(e22)
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1483,f190]) ).

fof(f1488,plain,
    ( e13 = op1(e12,e11)
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1486,f224]) ).

fof(f1490,plain,
    ( e10 = e13
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1488,f118]) ).

fof(f1493,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[],[f1490,f172]) ).

fof(f1494,plain,
    ( ~ spl0_4
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1493]) ).

fof(f1495,plain,
    ( e11 = e12
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f186,f190]) ).

fof(f1503,plain,
    ( $false
    | ~ spl0_4
    | spl0_16 ),
    inference(forward_subsumption_resolution,[],[f1438,f240]) ).

fof(f1504,plain,
    ( ~ spl0_4
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1503]) ).

fof(f1510,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[],[f1495,f170]) ).

fof(f1511,plain,
    ( ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f1510]) ).

fof(f1524,plain,
    ( e10 = e12
    | ~ spl0_25
    | ~ spl0_40 ),
    inference(forward_demodulation,[],[f1052,f278]) ).

fof(f1537,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_40 ),
    inference(forward_subsumption_resolution,[],[f1524,f173]) ).

fof(f1538,plain,
    ( ~ spl0_25
    | ~ spl0_40 ),
    inference(avatar_contradiction_clause,[],[f1537]) ).

fof(f1545,plain,
    ( e13 = e14
    | ~ spl0_12
    | ~ spl0_28 ),
    inference(forward_demodulation,[],[f459,f224]) ).

fof(f1562,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_28 ),
    inference(forward_subsumption_resolution,[],[f1545,f165]) ).

fof(f1563,plain,
    ( ~ spl0_12
    | ~ spl0_28 ),
    inference(avatar_contradiction_clause,[],[f1562]) ).

fof(f1567,plain,
    ( spl0_31
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f961,f180,f302]) ).

fof(f1568,plain,
    ( e24 = h(e13)
    | ~ spl0_2 ),
    inference(superposition,[],[f25,f182]) ).

fof(f1571,plain,
    ( j(e22) = op1(e13,j(e23))
    | ~ spl0_2 ),
    inference(superposition,[],[f386,f182]) ).

fof(f1574,plain,
    ( e13 = op1(e13,j(e20))
    | ~ spl0_2 ),
    inference(superposition,[],[f389,f182]) ).

fof(f1577,plain,
    ( e13 = op1(e13,e12)
    | ~ spl0_2
    | ~ spl0_23 ),
    inference(forward_demodulation,[],[f1574,f270]) ).

fof(f1580,plain,
    ( op1(e13,e11) = j(e22)
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1571,f211]) ).

fof(f1583,plain,
    ( e10 = e13
    | ~ spl0_2
    | ~ spl0_23 ),
    inference(forward_demodulation,[],[f1577,f112]) ).

fof(f1586,plain,
    ( e14 = op1(e13,e11)
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1580,f220]) ).

fof(f1588,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[],[f1583,f172]) ).

fof(f1589,plain,
    ( ~ spl0_2
    | ~ spl0_23 ),
    inference(avatar_contradiction_clause,[],[f1588]) ).

fof(f1591,plain,
    ( e12 = e14
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1586,f113]) ).

fof(f1596,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f1591,f166]) ).

fof(f1597,plain,
    ( ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1596]) ).

fof(f1603,plain,
    ( spl0_2
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f441,f302,f180]) ).

fof(f1612,plain,
    ( e20 = e24
    | ~ spl0_3
    | ~ spl0_40 ),
    inference(forward_demodulation,[],[f661,f341]) ).

fof(f1622,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_40 ),
    inference(forward_subsumption_resolution,[],[f1612,f161]) ).

fof(f1623,plain,
    ( ~ spl0_3
    | ~ spl0_40 ),
    inference(avatar_contradiction_clause,[],[f1622]) ).

fof(f1627,plain,
    ( e23 = e24
    | ~ spl0_2
    | ~ spl0_32 ),
    inference(forward_demodulation,[],[f1568,f308]) ).

fof(f1632,plain,
    ( e10 = e12
    | ~ spl0_20
    | ~ spl0_39 ),
    inference(forward_demodulation,[],[f879,f257]) ).

fof(f1639,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_32 ),
    inference(forward_subsumption_resolution,[],[f1627,f155]) ).

fof(f1640,plain,
    ( ~ spl0_2
    | ~ spl0_32 ),
    inference(avatar_contradiction_clause,[],[f1639]) ).

fof(f1645,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_39 ),
    inference(forward_subsumption_resolution,[],[f1632,f173]) ).

fof(f1646,plain,
    ( ~ spl0_20
    | ~ spl0_39 ),
    inference(avatar_contradiction_clause,[],[f1645]) ).

fof(f1656,plain,
    ( j(e22) = op1(e13,j(e23))
    | ~ spl0_2 ),
    inference(superposition,[],[f386,f182]) ).

fof(f1658,plain,
    ( j(e23) = op1(e13,j(e21))
    | ~ spl0_2 ),
    inference(superposition,[],[f388,f182]) ).

fof(f1659,plain,
    ( e13 = op1(e13,j(e20))
    | ~ spl0_2 ),
    inference(superposition,[],[f389,f182]) ).

fof(f1662,plain,
    ( e13 = op1(e13,e11)
    | ~ spl0_2
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f1659,f274]) ).

fof(f1663,plain,
    ( op1(e13,e12) = j(e23)
    | ~ spl0_2
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1658,f249]) ).

fof(f1665,plain,
    ( op1(e13,e10) = j(e22)
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1656,f215]) ).

fof(f1668,plain,
    ( e12 = e13
    | ~ spl0_2
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f1662,f113]) ).

fof(f1671,plain,
    ( e14 = op1(e13,e10)
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1665,f220]) ).

fof(f1673,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[],[f1668,f167]) ).

fof(f1674,plain,
    ( ~ spl0_2
    | ~ spl0_24 ),
    inference(avatar_contradiction_clause,[],[f1673]) ).

fof(f1675,plain,
    ( e13 = e14
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1671,f114]) ).

fof(f1678,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f1675,f165]) ).

fof(f1679,plain,
    ( ~ spl0_2
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1678]) ).

fof(f1696,plain,
    ( e14 = op1(e13,e12)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1663,f199]) ).

fof(f1705,plain,
    ( e10 = e14
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1696,f112]) ).

fof(f1708,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[],[f1705,f171]) ).

fof(f1709,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1708]) ).

fof(f1721,plain,
    ( op1(e13,e12) = j(e22)
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1656,f207]) ).

fof(f1730,plain,
    ( e14 = op1(e13,e12)
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1721,f220]) ).

fof(f1733,plain,
    ( e10 = e14
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1730,f112]) ).

fof(f1738,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f1733,f171]) ).

fof(f1739,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1738]) ).

fof(f1757,plain,
    ( j(e22) = op1(e12,j(e23))
    | ~ spl0_3 ),
    inference(superposition,[],[f386,f186]) ).

fof(f1760,plain,
    ( e12 = op1(e12,j(e20))
    | ~ spl0_3 ),
    inference(superposition,[],[f389,f186]) ).

fof(f1789,plain,
    ( e12 = op1(e12,e13)
    | ~ spl0_3
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f1760,f266]) ).

fof(f1796,plain,
    ( op1(e12,e11) = j(e22)
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1757,f211]) ).

fof(f1797,plain,
    ( e11 = e12
    | ~ spl0_3
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f1789,f116]) ).

fof(f1800,plain,
    ( e14 = op1(e12,e11)
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1796,f220]) ).

fof(f1801,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[],[f1797,f170]) ).

fof(f1802,plain,
    ( ~ spl0_3
    | ~ spl0_22 ),
    inference(avatar_contradiction_clause,[],[f1801]) ).

fof(f1804,plain,
    ( e10 = e14
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1800,f118]) ).

fof(f1807,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f1804,f171]) ).

fof(f1808,plain,
    ( ~ spl0_3
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1807]) ).

fof(f1819,plain,
    ( e12 = op1(e12,e11)
    | ~ spl0_3
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f1760,f274]) ).

fof(f1826,plain,
    ( e10 = e12
    | ~ spl0_3
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f1819,f118]) ).

fof(f1830,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[],[f1826,f173]) ).

fof(f1831,plain,
    ( ~ spl0_3
    | ~ spl0_24 ),
    inference(avatar_contradiction_clause,[],[f1830]) ).

fof(f1838,plain,
    ( spl0_46
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f680,f192,f365]) ).

fof(f1863,plain,
    ( e21 = e24
    | ~ spl0_46
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f367,f379]) ).

fof(f1875,plain,
    ( $false
    | ~ spl0_46
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[],[f1863,f158]) ).

fof(f1876,plain,
    ( ~ spl0_46
    | ~ spl0_49 ),
    inference(avatar_contradiction_clause,[],[f1875]) ).

fof(f1878,plain,
    ( spl0_43
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f769,f230,f352]) ).

fof(f1894,plain,
    ( j(e22) = op1(e12,j(e23))
    | ~ spl0_3 ),
    inference(superposition,[],[f386,f186]) ).

fof(f1895,plain,
    ( j(e20) = op1(e12,j(e22))
    | ~ spl0_3 ),
    inference(superposition,[],[f387,f186]) ).

fof(f1896,plain,
    ( j(e23) = op1(e12,j(e21))
    | ~ spl0_3 ),
    inference(superposition,[],[f388,f186]) ).

fof(f1898,plain,
    ( j(e22) = op1(j(e23),e12)
    | ~ spl0_3 ),
    inference(superposition,[],[f390,f186]) ).

fof(f1901,plain,
    ( op1(e12,e13) = j(e23)
    | ~ spl0_3
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1896,f245]) ).

fof(f1902,plain,
    ( op1(e12,e11) = j(e20)
    | ~ spl0_3
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1895,f232]) ).

fof(f1906,plain,
    ( e14 = op1(e12,e13)
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1901,f199]) ).

fof(f1909,plain,
    ( e11 = e14
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1906,f116]) ).

fof(f1910,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[],[f1909,f168]) ).

fof(f1911,plain,
    ( ~ spl0_3
    | ~ spl0_6
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1910]) ).

fof(f1920,plain,
    ( e14 = op1(e12,e11)
    | ~ spl0_3
    | ~ spl0_14
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f1902,f262]) ).

fof(f1926,plain,
    ( e10 = e14
    | ~ spl0_3
    | ~ spl0_14
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f1920,f118]) ).

fof(f1929,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_14
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[],[f1926,f171]) ).

fof(f1930,plain,
    ( ~ spl0_3
    | ~ spl0_14
    | ~ spl0_21 ),
    inference(avatar_contradiction_clause,[],[f1929]) ).

fof(f1946,plain,
    ( op1(e13,e12) = j(e22)
    | ~ spl0_3
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1898,f203]) ).

fof(f1949,plain,
    ( e11 = op1(e13,e12)
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1946,f232]) ).

fof(f1951,plain,
    ( e10 = e11
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1949,f112]) ).

fof(f1952,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[],[f1951,f174]) ).

fof(f1953,plain,
    ( ~ spl0_3
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1952]) ).

fof(f1964,plain,
    ( op1(e12,e11) = j(e23)
    | ~ spl0_3
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f1896,f253]) ).

fof(f1966,plain,
    ( op1(e12,e10) = j(e20)
    | ~ spl0_3
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1895,f236]) ).

fof(f1969,plain,
    ( e13 = op1(e12,e11)
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f1964,f203]) ).

fof(f1970,plain,
    ( e14 = op1(e12,e10)
    | ~ spl0_3
    | ~ spl0_15
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f1966,f262]) ).

fof(f1971,plain,
    ( e10 = e13
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f1969,f118]) ).

fof(f1972,plain,
    ( e12 = e14
    | ~ spl0_3
    | ~ spl0_15
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f1970,f119]) ).

fof(f1973,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[],[f1971,f172]) ).

fof(f1974,plain,
    ( ~ spl0_3
    | ~ spl0_7
    | ~ spl0_19 ),
    inference(avatar_contradiction_clause,[],[f1973]) ).

fof(f1975,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_15
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[],[f1972,f166]) ).

fof(f1976,plain,
    ( ~ spl0_3
    | ~ spl0_15
    | ~ spl0_21 ),
    inference(avatar_contradiction_clause,[],[f1975]) ).

fof(f1977,plain,
    ( e12 = e13
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f182,f186]) ).

fof(f2003,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[],[f1977,f167]) ).

fof(f2004,plain,
    ( ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f2003]) ).

fof(f2039,plain,
    ( op1(e12,e13) = j(e20)
    | ~ spl0_3
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1895,f224]) ).

fof(f2043,plain,
    ( op1(e12,e11) = j(e22)
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1894,f211]) ).

fof(f2045,plain,
    ( e14 = op1(e12,e13)
    | ~ spl0_3
    | ~ spl0_12
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f2039,f262]) ).

fof(f2047,plain,
    ( e13 = op1(e12,e11)
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2043,f224]) ).

fof(f2048,plain,
    ( e11 = e14
    | ~ spl0_3
    | ~ spl0_12
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f2045,f116]) ).

fof(f2049,plain,
    ( e10 = e13
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2047,f118]) ).

fof(f2050,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_12
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[],[f2048,f168]) ).

fof(f2051,plain,
    ( ~ spl0_3
    | ~ spl0_12
    | ~ spl0_21 ),
    inference(avatar_contradiction_clause,[],[f2050]) ).

fof(f2052,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[],[f2049,f172]) ).

fof(f2053,plain,
    ( ~ spl0_3
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2052]) ).

fof(f2058,plain,
    ( e12 = op1(e12,e11)
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2043,f228]) ).

fof(f2060,plain,
    ( e10 = e12
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2058,f118]) ).

fof(f2061,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f2060,f173]) ).

fof(f2062,plain,
    ( ~ spl0_3
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2061]) ).

fof(f2065,plain,
    ( spl0_33
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f1448,f222,f310]) ).

fof(f2088,plain,
    ( op1(e14,e12) = j(e22)
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1898,f199]) ).

fof(f2092,plain,
    ( e13 = op1(e14,e12)
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2088,f224]) ).

fof(f2095,plain,
    ( e11 = e13
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2092,f107]) ).

fof(f2098,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[],[f2095,f169]) ).

fof(f2099,plain,
    ( ~ spl0_3
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2098]) ).

fof(f2127,plain,
    ( j(e22) = op1(e13,j(e23))
    | ~ spl0_2 ),
    inference(superposition,[],[f386,f182]) ).

fof(f2129,plain,
    ( j(e23) = op1(e13,j(e21))
    | ~ spl0_2 ),
    inference(superposition,[],[f388,f182]) ).

fof(f2130,plain,
    ( e13 = op1(e13,j(e20))
    | ~ spl0_2 ),
    inference(superposition,[],[f389,f182]) ).

fof(f2131,plain,
    ( j(e22) = op1(j(e23),e13)
    | ~ spl0_2 ),
    inference(superposition,[],[f390,f182]) ).

fof(f2133,plain,
    ( e13 = op1(e13,e14)
    | ~ spl0_2
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f2130,f262]) ).

fof(f2136,plain,
    ( op1(e13,e12) = j(e22)
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2127,f207]) ).

fof(f2139,plain,
    ( e11 = e13
    | ~ spl0_2
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f2133,f110]) ).

fof(f2142,plain,
    ( e11 = op1(e13,e12)
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f2136,f232]) ).

fof(f2143,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[],[f2139,f169]) ).

fof(f2144,plain,
    ( ~ spl0_2
    | ~ spl0_21 ),
    inference(avatar_contradiction_clause,[],[f2143]) ).

fof(f2146,plain,
    ( e10 = e11
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f2142,f112]) ).

fof(f2149,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[],[f2146,f174]) ).

fof(f2150,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2149]) ).

fof(f2170,plain,
    ( op1(e11,e13) = j(e22)
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2131,f211]) ).

fof(f2174,plain,
    ( e12 = op1(e11,e13)
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2170,f228]) ).

fof(f2176,plain,
    ( e10 = e12
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2174,f121]) ).

fof(f2177,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f2176,f173]) ).

fof(f2178,plain,
    ( ~ spl0_2
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2177]) ).

fof(f2188,plain,
    ( op1(e13,e11) = j(e23)
    | ~ spl0_2
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f2129,f253]) ).

fof(f2194,plain,
    ( e14 = op1(e13,e11)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f2188,f199]) ).

fof(f2197,plain,
    ( e12 = e14
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f2194,f113]) ).

fof(f2199,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[],[f2197,f166]) ).

fof(f2200,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_19 ),
    inference(avatar_contradiction_clause,[],[f2199]) ).

fof(f2203,plain,
    ( spl0_20
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f1234,f176,f255]) ).

fof(f2229,plain,
    ( e14 = op1(e14,j(e20))
    | ~ spl0_1 ),
    inference(superposition,[],[f389,f178]) ).

fof(f2232,plain,
    ( e14 = op1(e14,e12)
    | ~ spl0_1
    | ~ spl0_23 ),
    inference(forward_demodulation,[],[f2229,f270]) ).

fof(f2238,plain,
    ( e11 = e14
    | ~ spl0_1
    | ~ spl0_23 ),
    inference(forward_demodulation,[],[f2232,f107]) ).

fof(f2242,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[],[f2238,f168]) ).

fof(f2243,plain,
    ( ~ spl0_1
    | ~ spl0_23 ),
    inference(avatar_contradiction_clause,[],[f2242]) ).

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

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

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

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

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

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

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

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

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

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

cnf(s11,plain,
    ( ~ spl0_2
    | ~ spl0_26 ),
    inference(sat_conversion,[],[f438]) ).

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

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

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

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

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

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

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

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

cnf(s23,plain,
    ( ~ spl0_16
    | ~ spl0_19 ),
    inference(sat_conversion,[],[f484]) ).

cnf(s24,plain,
    ( ~ spl0_16
    | ~ spl0_19 ),
    inference(sat_conversion,[],[f486]) ).

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

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

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

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

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

cnf(s35,plain,
    ( ~ spl0_8
    | ~ spl0_32 ),
    inference(sat_conversion,[],[f530]) ).

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

cnf(s37,plain,
    ( ~ spl0_19
    | ~ spl0_34 ),
    inference(sat_conversion,[],[f541]) ).

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

cnf(s40,plain,
    ( ~ spl0_16
    | ~ spl0_17 ),
    inference(sat_conversion,[],[f549]) ).

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

cnf(s45,plain,
    ( ~ spl0_8
    | ~ spl0_9 ),
    inference(sat_conversion,[],[f572]) ).

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

cnf(s52,plain,
    ( ~ spl0_17
    | ~ spl0_20 ),
    inference(sat_conversion,[],[f615]) ).

cnf(s59,plain,
    ( ~ spl0_5
    | ~ spl0_17 ),
    inference(sat_conversion,[],[f686]) ).

cnf(s61,plain,
    ( ~ spl0_13
    | ~ spl0_33 ),
    inference(sat_conversion,[],[f697]) ).

cnf(s62,plain,
    ( ~ spl0_5
    | ~ spl0_18 ),
    inference(sat_conversion,[],[f700]) ).

cnf(s65,plain,
    ( ~ spl0_5
    | ~ spl0_19 ),
    inference(sat_conversion,[],[f712]) ).

cnf(s66,plain,
    ( ~ spl0_5
    | ~ spl0_16 ),
    inference(sat_conversion,[],[f719]) ).

cnf(s68,plain,
    ( ~ spl0_20
    | spl0_49 ),
    inference(sat_conversion,[],[f733]) ).

cnf(s69,plain,
    ( spl0_21
    | ~ spl0_30 ),
    inference(sat_conversion,[],[f742]) ).

cnf(s73,plain,
    ( spl0_16
    | ~ spl0_29 ),
    inference(sat_conversion,[],[f760]) ).

cnf(s80,plain,
    ( ~ spl0_9
    | ~ spl0_43 ),
    inference(sat_conversion,[],[f811]) ).

cnf(s84,plain,
    ( ~ spl0_14
    | ~ spl0_38 ),
    inference(sat_conversion,[],[f846]) ).

cnf(s85,plain,
    ( spl0_23
    | ~ spl0_40 ),
    inference(sat_conversion,[],[f851]) ).

cnf(s88,plain,
    ( spl0_6
    | ~ spl0_27 ),
    inference(sat_conversion,[],[f862]) ).

cnf(s90,plain,
    ( spl0_18
    | ~ spl0_39 ),
    inference(sat_conversion,[],[f881]) ).

cnf(s95,plain,
    ( ~ spl0_23
    | spl0_40 ),
    inference(sat_conversion,[],[f895]) ).

cnf(s99,plain,
    ( spl0_7
    | ~ spl0_32 ),
    inference(sat_conversion,[],[f909]) ).

cnf(s101,plain,
    ( ~ spl0_14
    | ~ spl0_33 ),
    inference(sat_conversion,[],[f916]) ).

cnf(s103,plain,
    ( ~ spl0_7
    | spl0_32 ),
    inference(sat_conversion,[],[f942]) ).

cnf(s104,plain,
    ( ~ spl0_16
    | ~ spl0_20 ),
    inference(sat_conversion,[],[f953]) ).

cnf(s108,plain,
    ( ~ spl0_1
    | ~ spl0_16 ),
    inference(sat_conversion,[],[f981]) ).

cnf(s111,plain,
    ( ~ spl0_4
    | ~ spl0_43 ),
    inference(sat_conversion,[],[f992]) ).

cnf(s117,plain,
    ( ~ spl0_4
    | ~ spl0_15
    | ~ spl0_23 ),
    inference(sat_conversion,[],[f1071]) ).

cnf(s119,plain,
    ( ~ spl0_25
    | spl0_50 ),
    inference(sat_conversion,[],[f1075]) ).

cnf(s121,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(sat_conversion,[],[f1089]) ).

cnf(s127,plain,
    ( spl0_13
    | ~ spl0_38 ),
    inference(sat_conversion,[],[f1113]) ).

cnf(s128,plain,
    ( ~ spl0_1
    | spl0_26 ),
    inference(sat_conversion,[],[f1119]) ).

cnf(s132,plain,
    ( ~ spl0_1
    | ~ spl0_24 ),
    inference(sat_conversion,[],[f1189]) ).

cnf(s136,plain,
    ( ~ spl0_1
    | ~ spl0_22 ),
    inference(sat_conversion,[],[f1206]) ).

cnf(s139,plain,
    ( ~ spl0_7
    | ~ spl0_9 ),
    inference(sat_conversion,[],[f1222]) ).

cnf(s141,plain,
    ( ~ spl0_20
    | ~ spl0_44 ),
    inference(sat_conversion,[],[f1231]) ).

cnf(s145,plain,
    ( spl0_1
    | ~ spl0_26 ),
    inference(sat_conversion,[],[f1255]) ).

cnf(s148,plain,
    ( ~ spl0_4
    | ~ spl0_31 ),
    inference(sat_conversion,[],[f1261]) ).

cnf(s151,plain,
    ( spl0_22
    | ~ spl0_35 ),
    inference(sat_conversion,[],[f1269]) ).

cnf(s157,plain,
    ( ~ spl0_10
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f1283]) ).

cnf(s163,plain,
    ( ~ spl0_4
    | ~ spl0_22 ),
    inference(sat_conversion,[],[f1319]) ).

cnf(s166,plain,
    ( ~ spl0_4
    | ~ spl0_13
    | spl0_22 ),
    inference(sat_conversion,[],[f1328]) ).

cnf(s175,plain,
    ( ~ spl0_4
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(sat_conversion,[],[f1370]) ).

cnf(s183,plain,
    ( ~ spl0_15
    | ~ spl0_33 ),
    inference(sat_conversion,[],[f1405]) ).

cnf(s187,plain,
    ( ~ spl0_16
    | ~ spl0_18 ),
    inference(sat_conversion,[],[f1428]) ).

cnf(s189,plain,
    ( ~ spl0_18
    | ~ spl0_29 ),
    inference(sat_conversion,[],[f1432]) ).

cnf(s191,plain,
    ( ~ spl0_4
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(sat_conversion,[],[f1494]) ).

cnf(s195,plain,
    ( ~ spl0_4
    | spl0_16 ),
    inference(sat_conversion,[],[f1504]) ).

cnf(s196,plain,
    ( ~ spl0_3
    | ~ spl0_4 ),
    inference(sat_conversion,[],[f1511]) ).

cnf(s207,plain,
    ( ~ spl0_25
    | ~ spl0_40 ),
    inference(sat_conversion,[],[f1538]) ).

cnf(s213,plain,
    ( ~ spl0_12
    | ~ spl0_28 ),
    inference(sat_conversion,[],[f1563]) ).

cnf(s215,plain,
    ( ~ spl0_2
    | spl0_31 ),
    inference(sat_conversion,[],[f1567]) ).

cnf(s216,plain,
    ( ~ spl0_2
    | ~ spl0_23 ),
    inference(sat_conversion,[],[f1589]) ).

cnf(s219,plain,
    ( ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(sat_conversion,[],[f1597]) ).

cnf(s220,plain,
    ( spl0_2
    | ~ spl0_31 ),
    inference(sat_conversion,[],[f1603]) ).

cnf(s228,plain,
    ( ~ spl0_3
    | ~ spl0_40 ),
    inference(sat_conversion,[],[f1623]) ).

cnf(s231,plain,
    ( ~ spl0_2
    | ~ spl0_32 ),
    inference(sat_conversion,[],[f1640]) ).

cnf(s234,plain,
    ( ~ spl0_20
    | ~ spl0_39 ),
    inference(sat_conversion,[],[f1646]) ).

cnf(s238,plain,
    ( ~ spl0_2
    | ~ spl0_24 ),
    inference(sat_conversion,[],[f1674]) ).

cnf(s240,plain,
    ( ~ spl0_2
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(sat_conversion,[],[f1679]) ).

cnf(s246,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_18 ),
    inference(sat_conversion,[],[f1709]) ).

cnf(s254,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(sat_conversion,[],[f1739]) ).

cnf(s267,plain,
    ( ~ spl0_3
    | ~ spl0_22 ),
    inference(sat_conversion,[],[f1802]) ).

cnf(s269,plain,
    ( ~ spl0_3
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(sat_conversion,[],[f1808]) ).

cnf(s274,plain,
    ( ~ spl0_3
    | ~ spl0_24 ),
    inference(sat_conversion,[],[f1831]) ).

cnf(s277,plain,
    ( ~ spl0_5
    | spl0_46 ),
    inference(sat_conversion,[],[f1838]) ).

cnf(s293,plain,
    ( ~ spl0_46
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f1876]) ).

cnf(s296,plain,
    ( ~ spl0_14
    | spl0_43 ),
    inference(sat_conversion,[],[f1878]) ).

cnf(s300,plain,
    ( ~ spl0_3
    | ~ spl0_6
    | ~ spl0_17 ),
    inference(sat_conversion,[],[f1911]) ).

cnf(s304,plain,
    ( ~ spl0_3
    | ~ spl0_14
    | ~ spl0_21 ),
    inference(sat_conversion,[],[f1930]) ).

cnf(s311,plain,
    ( ~ spl0_3
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(sat_conversion,[],[f1953]) ).

cnf(s315,plain,
    ( ~ spl0_3
    | ~ spl0_7
    | ~ spl0_19 ),
    inference(sat_conversion,[],[f1974]) ).

cnf(s316,plain,
    ( ~ spl0_3
    | ~ spl0_15
    | ~ spl0_21 ),
    inference(sat_conversion,[],[f1976]) ).

cnf(s327,plain,
    ( ~ spl0_2
    | ~ spl0_3 ),
    inference(sat_conversion,[],[f2004]) ).

cnf(s339,plain,
    ( ~ spl0_3
    | ~ spl0_12
    | ~ spl0_21 ),
    inference(sat_conversion,[],[f2051]) ).

cnf(s340,plain,
    ( ~ spl0_3
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(sat_conversion,[],[f2053]) ).

cnf(s343,plain,
    ( ~ spl0_3
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(sat_conversion,[],[f2062]) ).

cnf(s346,plain,
    ( ~ spl0_12
    | spl0_33 ),
    inference(sat_conversion,[],[f2065]) ).

cnf(s350,plain,
    ( ~ spl0_3
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(sat_conversion,[],[f2099]) ).

cnf(s361,plain,
    ( ~ spl0_2
    | ~ spl0_21 ),
    inference(sat_conversion,[],[f2144]) ).

cnf(s363,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(sat_conversion,[],[f2150]) ).

cnf(s372,plain,
    ( ~ spl0_2
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(sat_conversion,[],[f2178]) ).

cnf(s375,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_19 ),
    inference(sat_conversion,[],[f2200]) ).

cnf(s379,plain,
    ( ~ spl0_1
    | spl0_20 ),
    inference(sat_conversion,[],[f2203]) ).

cnf(s387,plain,
    ( ~ spl0_1
    | ~ spl0_23 ),
    inference(sat_conversion,[],[f2243]) ).

cnf(s388,plain,
    ~ spl0_5,
    inference(rat,[],[s68,s4,s293,s59,s62,s65,s66,s277]) ).

cnf(s389,plain,
    ~ spl0_46,
    inference(rat,[],[s25,s388]) ).

cnf(s390,plain,
    ( ~ spl0_33
    | ~ spl0_4
    | spl0_36 ),
    inference(rat,[],[s29,s207,s10,s8,s26,s13,s175,s191,s27,s36,s183,s90,s187,s28,s104,s195,s127,s166,s163,s389]) ).

cnf(s391,plain,
    ( spl0_3
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s85,s117,s8,s3,s13,s121,s35,s99,s7,s346,s390,s127,s38,s90,s296,s166,s151,s40,s187,s111,s163,s195,s1,s12,s220,s388]) ).

cnf(s392,plain,
    ( ~ spl0_12
    | spl0_8
    | spl0_7
    | ~ spl0_3 ),
    inference(rat,[],[s157,s119,s2,s5,s340,s350,s339,s274,s267,s95,s228]) ).

cnf(s393,plain,
    ( ~ spl0_9
    | spl0_27
    | spl0_29
    | spl0_12
    | ~ spl0_3
    | spl0_26 ),
    inference(rat,[],[s316,s69,s3,s6,s296,s48,s343,s80,s269]) ).

cnf(s394,plain,
    ( spl0_8
    | spl0_7
    | ~ spl0_3
    | spl0_31
    | spl0_26 ),
    inference(rat,[],[s5,s304,s119,s19,s157,s9,s2,s18,s393,s88,s73,s22,s300,s40,s37,s38,s7,s36,s392,s41,s274,s151,s267,s95,s228,s17,s196,s99]) ).

cnf(s395,plain,
    ( ~ spl0_34
    | ~ spl0_8
    | ~ spl0_3
    | spl0_26 ),
    inference(rat,[],[s6,s48,s69,s21,s304,s19,s9,s73,s22,s40,s37,s38,s41,s274,s17,s196,s16,s18,s45]) ).

cnf(s396,plain,
    ( spl0_7
    | ~ spl0_3
    | spl0_31
    | spl0_26 ),
    inference(rat,[],[s73,s24,s6,s22,s69,s9,s213,s339,s19,s36,s101,s7,s395,s18,s16,s45,s394,s99,s41,s274,s151,s267,s17,s196]) ).

cnf(s397,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s9,s18,s19,s22,s139,s311,s315,s396,s17,s41,s196,s274,s391,s220,s145]) ).

cnf(s398,plain,
    ( ~ spl0_9
    | spl0_37
    | spl0_1 ),
    inference(rat,[],[s88,s6,s246,s189,s90,s8,s127,s48,s372,s219,s145,s69,s361,s12,s327,s85,s216,s397]) ).

cnf(s399,plain,
    ( ~ spl0_19
    | spl0_8
    | spl0_1 ),
    inference(rat,[],[s48,s240,s6,s2,s88,s73,s375,s24,s145,s69,s361,s103,s231,s397,s398,s13]) ).

cnf(s400,plain,
    ( spl0_8
    | spl0_1 ),
    inference(rat,[],[s88,s6,s246,s189,s90,s48,s8,s21,s84,s19,s9,s22,s399,s18,s398,s13,s145,s69,s361,s12,s327,s41,s238,s85,s216,s17,s148,s215,s397]) ).

cnf(s401,plain,
    spl0_1,
    inference(rat,[],[s23,s22,s73,s9,s6,s18,s48,s19,s16,s45,s254,s363,s400,s17,s148,s41,s69,s215,s238,s361,s397,s145]) ).

cnf(s402,plain,
    ~ spl0_23,
    inference(rat,[],[s387,s401]) ).

cnf(s403,plain,
    spl0_20,
    inference(rat,[],[s379,s401]) ).

cnf(s405,plain,
    ~ spl0_22,
    inference(rat,[],[s136,s401]) ).

cnf(s406,plain,
    ~ spl0_24,
    inference(rat,[],[s132,s401]) ).

cnf(s407,plain,
    spl0_26,
    inference(rat,[],[s128,s401]) ).

cnf(s408,plain,
    ~ spl0_16,
    inference(rat,[],[s108,s401]) ).

cnf(s409,plain,
    ~ spl0_40,
    inference(rat,[],[s85,s402]) ).

cnf(s410,plain,
    ~ spl0_39,
    inference(rat,[],[s234,s403]) ).

cnf(s412,plain,
    ~ spl0_44,
    inference(rat,[],[s141,s403]) ).

cnf(s416,plain,
    ~ spl0_17,
    inference(rat,[],[s52,s403]) ).

cnf(s418,plain,
    ~ spl0_35,
    inference(rat,[],[s151,s405]) ).

cnf(s419,plain,
    ~ spl0_45,
    inference(rat,[],[s41,s406]) ).

cnf(s420,plain,
    ~ spl0_2,
    inference(rat,[],[s11,s407]) ).

cnf(s421,plain,
    ~ spl0_4,
    inference(rat,[],[s195,s408]) ).

cnf(s422,plain,
    ~ spl0_34,
    inference(rat,[],[s38,s416]) ).

cnf(s423,plain,
    ~ spl0_31,
    inference(rat,[],[s220,s420]) ).

cnf(s424,plain,
    ~ spl0_41,
    inference(rat,[],[s17,s421]) ).

cnf(s425,plain,
    ( spl0_7
    | spl0_8 ),
    inference(rat,[],[s12,s8,s392,s127,s36,s61,s7,s99,s13,s410,s409,s418,s422,s423]) ).

cnf(s426,plain,
    spl0_8,
    inference(rat,[],[s12,s8,s311,s84,s19,s9,s18,s139,s425,s13,s410,s409,s419,s412,s424]) ).

cnf(s429,plain,
    ~ spl0_9,
    inference(rat,[],[s45,s426]) ).

cnf(s430,plain,
    ~ spl0_32,
    inference(rat,[],[s35,s426]) ).

cnf(s434,plain,
    ~ spl0_42,
    inference(rat,[],[s18,s429]) ).

cnf(s436,plain,
    spl0_33,
    inference(rat,[],[s7,s423,s422,s418,s430]) ).

cnf(s437,plain,
    spl0_43,
    inference(rat,[],[s9,s424,s412,s419,s434]) ).

cnf(s439,plain,
    ~ spl0_14,
    inference(rat,[],[s101,s436]) ).

cnf(s442,plain,
    $false,
    inference(rat,[],[s19,s437,s439]) ).

fof(f2244,plain,
    $false,
    inference(avatar_sat_refutation,[],[s442]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ALG077+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19  % Computer : n002.cluster.edu
% 0.08/0.19  % Model    : x86_64 x86_64
% 0.08/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19  % Memory   : 8046.5625MB
% 0.08/0.19  % OS       : Linux 6.8.0-71-generic
% 0.08/0.19  % CPULimit : 300
% 0.08/0.19  % WCLimit  : 300
% 0.08/0.19  % DateTime : Mon Sep 28 19:27:52 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23  Running first-order theorem proving
% 0.08/0.23  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.73/1.33  % (671708)Detected formulas, will run a generic FOF schedule.
% 4.73/1.33  % (671715)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=3233177071:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.73/1.33  % (671718)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3835913131:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.73/1.33  % (671714)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=2646965901:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.73/1.33  % (671713)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=3424281219:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.73/1.33  % (671717)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=420327285:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.73/1.33  % (671719)dis-21_1_sil=8000:lcm=predicate:random_seed=4016856309: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)
% 4.73/1.33  % (671716)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2716357722:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.73/1.33  % (671719)Refutation not found, incomplete strategy
% 4.73/1.33  % (671719)------------------------------
% 4.73/1.33  % (671719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.73/1.33  % (671719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.33  % (671719)CaDiCaL version: 2.1.3
% 4.73/1.33  % (671719)Termination reason: Refutation not found, incomplete strategy
% 4.73/1.33  % (671719)Time elapsed: 0.005 s
% 4.73/1.33  % (671719)Peak memory usage: 88 MB
% 4.73/1.33  % (671719)Instructions burned: 8 (million)
% 4.73/1.33  % (671717)Instruction limit reached! 
% 4.73/1.33  % (671717)------------------------------
% 4.73/1.33  % (671717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.73/1.33  % (671717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.33  % (671717)CaDiCaL version: 2.1.3
% 4.73/1.33  % (671717)Termination reason: Instruction limit
% 4.73/1.33  % (671717)Termination phase: Saturation
% 4.73/1.33  % (671717)Time elapsed: 0.050 s
% 4.73/1.33  % (671717)Peak memory usage: 87 MB
% 4.73/1.33  % (671717)Instructions burned: 119 (million)
% 4.73/1.33  % (671716)Instruction limit reached! 
% 4.73/1.33  % (671716)------------------------------
% 4.73/1.33  % (671716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.73/1.33  % (671716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.33  % (671716)CaDiCaL version: 2.1.3
% 4.73/1.33  % (671716)Termination reason: Instruction limit
% 4.73/1.33  % (671716)Termination phase: Saturation
% 4.73/1.33  % (671716)Time elapsed: 0.058 s
% 4.73/1.33  % (671716)Peak memory usage: 89 MB
% 4.73/1.33  % (671716)Instructions burned: 109 (million)
% 4.73/1.33  % (671718)Instruction limit reached! 
% 4.73/1.33  % (671718)------------------------------
% 4.73/1.33  % (671718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.73/1.33  % (671718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.33  % (671718)CaDiCaL version: 2.1.3
% 4.73/1.33  % (671718)Termination reason: Instruction limit
% 4.73/1.33  % (671718)Termination phase: Saturation
% 4.73/1.33  % (671718)Time elapsed: 0.076 s
% 4.73/1.33  % (671718)Peak memory usage: 89 MB
% 4.73/1.33  % (671718)Instructions burned: 140 (million)
% 4.73/1.33  [W928 19:27:53.158686671 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.
% 4.73/1.33  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.73/1.33  [W928 19:27:53.158719263 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.
% 4.73/1.33  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.73/1.33  [W928 19:27:53.158739840 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.
% 4.73/1.33  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.73/1.33  [W928 19:27:53.158746177 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.
% 4.73/1.33  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.73/1.33  [W928 19:27:53.158759666 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.
% 4.73/1.33  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.73/1.33  [W928 19:27:53.158765163 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.
% 4.73/1.33  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.73/1.33  % (671727)lrs+10_1_sil=8000:sp=occurrence:random_seed=64030182:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.73/1.33  % (671728)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4078233806:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.73/1.33  % (671727)First to succeed.
% 4.73/1.33  % (671727)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-671708"
% 4.73/1.33  % (671729)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2311658229:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.73/1.33  % (671719)------------------------------
% 4.73/1.33  % (671719)------------------------------
% 4.73/1.33  % (671728)Also succeeded, but the first one will report.
% 4.73/1.33  % (671729)Also succeeded, but the first one will report.
% 4.73/1.33  % (671715)Also succeeded, but the first one will report.
% 4.73/1.33  [W928 19:27:53.370736042 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.
% 4.73/1.33  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.73/1.33  [W928 19:27:53.370770812 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.
% 4.73/1.33  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.73/1.33  [W928 19:27:53.370806322 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.
% 4.73/1.33  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.73/1.33  [W928 19:27:53.370819039 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.
% 4.73/1.33  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.73/1.33  [W928 19:27:53.370847142 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.
% 4.73/1.33  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.73/1.33  [W928 19:27:53.370858679 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.
% 4.73/1.33  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.73/1.33  [W928 19:27:53.371961110 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.
% 4.73/1.33  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.73/1.33  [W928 19:27:53.371998680 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.
% 4.73/1.33  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.73/1.33  [W928 19:27:53.372053077 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.
% 4.73/1.33  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.73/1.33  [W928 19:27:53.372128223 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.
% 4.73/1.33  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.73/1.33  [W928 19:27:53.372179723 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.
% 4.73/1.34  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.73/1.34  [W928 19:27:53.372194053 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.
% 4.73/1.34  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.73/1.34  % (671733)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=3999730338:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.73/1.34  % (671727)Refutation found. Thanks to Tanya!
% 4.73/1.34  % SZS status Theorem for theBenchmark
% 4.73/1.34  % SZS output start Proof for theBenchmark
% See solution above
% 5.39/1.53  % (671727)------------------------------
% 5.39/1.53  % (671727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.39/1.53  % (671727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.39/1.53  % (671727)CaDiCaL version: 2.1.3
% 5.39/1.53  % (671727)Termination reason: Refutation
% 5.39/1.53  % (671727)Time elapsed: 0.042 s
% 5.39/1.53  % (671727)Peak memory usage: 90 MB
% 5.39/1.53  % (671727)Instructions burned: 74 (million)
% 5.39/1.53  % (671727)------------------------------
% 5.39/1.53  % (671727)------------------------------
% 5.39/1.53  % (671708)Success in time 0.672 s
% 5.39/1.53  % Vampire exiting
%------------------------------------------------------------------------------