TSTP Solution File: ALG184+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : ALG184+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 04:27:09 EDT 2024

% Result   : Theorem 0.13s 0.39s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   16
% Syntax   : Number of formulae    :  346 ( 210 unt;   0 def)
%            Number of atoms       : 1057 ( 889 equ)
%            Maximal formula atoms :  110 (   3 avg)
%            Number of connectives :  941 ( 230   ~; 335   |; 364   &)
%                                         (  10 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   74 (   3 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :   12 (  10 usr;  11 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;  10 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f669,plain,
    $false,
    inference(avatar_sat_refutation,[],[f245,f283,f324,f365,f396,f439,f471,f490,f552,f596,f639,f667]) ).

fof(f667,plain,
    ( ~ spl0_5
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f666]) ).

fof(f666,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f665,f96]) ).

fof(f96,plain,
    e21 != e24,
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ( e23 != e24
    & e22 != e24
    & e22 != e23
    & e21 != e24
    & e21 != e23
    & e21 != e22
    & e20 != e24
    & e20 != e23
    & e20 != e22
    & e20 != e21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).

fof(f665,plain,
    ( e21 = e24
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f664,f129]) ).

fof(f129,plain,
    e21 = op2(e20,e24),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    ( e24 = op2(e24,e24)
    & e21 = op2(e24,e23)
    & e20 = op2(e24,e22)
    & e22 = op2(e24,e21)
    & e23 = op2(e24,e20)
    & e22 = op2(e23,e24)
    & e23 = op2(e23,e23)
    & e21 = op2(e23,e22)
    & e20 = op2(e23,e21)
    & e24 = op2(e23,e20)
    & e23 = op2(e22,e24)
    & e20 = op2(e22,e23)
    & e22 = op2(e22,e22)
    & e24 = op2(e22,e21)
    & e21 = op2(e22,e20)
    & e20 = op2(e21,e24)
    & e24 = op2(e21,e23)
    & e23 = op2(e21,e22)
    & e21 = op2(e21,e21)
    & e22 = op2(e21,e20)
    & e21 = op2(e20,e24)
    & e22 = op2(e20,e23)
    & e24 = op2(e20,e22)
    & e23 = op2(e20,e21)
    & e20 = op2(e20,e20) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).

fof(f664,plain,
    ( e24 = op2(e20,e24)
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f651,f244]) ).

fof(f244,plain,
    ( e24 = h(e10)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f242]) ).

fof(f242,plain,
    ( spl0_5
  <=> e24 = h(e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f651,plain,
    ( h(e10) = op2(e20,h(e10))
    | ~ spl0_6 ),
    inference(superposition,[],[f180,f307]) ).

fof(f307,plain,
    ( e20 = h(e11)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f305]) ).

fof(f305,plain,
    ( spl0_6
  <=> e20 = h(e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f180,plain,
    h(e10) = op2(h(e11),h(e10)),
    inference(forward_demodulation,[],[f25,f155]) ).

fof(f155,plain,
    e10 = op1(e11,e10),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ( e10 = op1(e14,e14)
    & e14 = op1(e14,e13)
    & e11 = op1(e14,e12)
    & e13 = op1(e14,e11)
    & e12 = op1(e14,e10)
    & e11 = op1(e13,e14)
    & e12 = op1(e13,e13)
    & e14 = op1(e13,e12)
    & e10 = op1(e13,e11)
    & e13 = op1(e13,e10)
    & e12 = op1(e12,e14)
    & e10 = op1(e12,e13)
    & e13 = op1(e12,e12)
    & e14 = op1(e12,e11)
    & e11 = op1(e12,e10)
    & e14 = op1(e11,e14)
    & e13 = op1(e11,e13)
    & e12 = op1(e11,e12)
    & e11 = op1(e11,e11)
    & e10 = op1(e11,e10)
    & e13 = op1(e10,e14)
    & e11 = op1(e10,e13)
    & e10 = op1(e10,e12)
    & e12 = op1(e10,e11)
    & e14 = op1(e10,e10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).

fof(f25,plain,
    h(op1(e11,e10)) = op2(h(e11),h(e10)),
    inference(cnf_transformation,[],[f9]) ).

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

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

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

fof(f6,conjecture,
    ( ( ( e14 = j(e24)
        | e13 = j(e24)
        | e12 = j(e24)
        | e11 = j(e24)
        | e10 = j(e24) )
      & ( e14 = j(e23)
        | e13 = j(e23)
        | e12 = j(e23)
        | e11 = j(e23)
        | e10 = j(e23) )
      & ( e14 = j(e22)
        | e13 = j(e22)
        | e12 = j(e22)
        | e11 = j(e22)
        | e10 = j(e22) )
      & ( e14 = j(e21)
        | e13 = j(e21)
        | e12 = j(e21)
        | e11 = j(e21)
        | e10 = j(e21) )
      & ( e14 = j(e20)
        | e13 = j(e20)
        | e12 = j(e20)
        | e11 = j(e20)
        | e10 = j(e20) )
      & ( e24 = h(e14)
        | e23 = h(e14)
        | e22 = h(e14)
        | e21 = h(e14)
        | e20 = h(e14) )
      & ( e24 = h(e13)
        | e23 = h(e13)
        | e22 = h(e13)
        | e21 = h(e13)
        | e20 = h(e13) )
      & ( e24 = h(e12)
        | e23 = h(e12)
        | e22 = h(e12)
        | e21 = h(e12)
        | e20 = h(e12) )
      & ( e24 = h(e11)
        | e23 = h(e11)
        | e22 = h(e11)
        | e21 = h(e11)
        | e20 = h(e11) )
      & ( e24 = h(e10)
        | e23 = h(e10)
        | e22 = h(e10)
        | e21 = h(e10)
        | e20 = h(e10) ) )
   => ~ ( e14 = j(h(e14))
        & e13 = j(h(e13))
        & e12 = j(h(e12))
        & e11 = j(h(e11))
        & e10 = j(h(e10))
        & e24 = h(j(e24))
        & e23 = h(j(e23))
        & e22 = h(j(e22))
        & e21 = h(j(e21))
        & e20 = h(j(e20))
        & j(op2(e24,e24)) = op1(j(e24),j(e24))
        & j(op2(e24,e23)) = op1(j(e24),j(e23))
        & j(op2(e24,e22)) = op1(j(e24),j(e22))
        & j(op2(e24,e21)) = op1(j(e24),j(e21))
        & j(op2(e24,e20)) = op1(j(e24),j(e20))
        & j(op2(e23,e24)) = op1(j(e23),j(e24))
        & j(op2(e23,e23)) = op1(j(e23),j(e23))
        & j(op2(e23,e22)) = op1(j(e23),j(e22))
        & j(op2(e23,e21)) = op1(j(e23),j(e21))
        & j(op2(e23,e20)) = op1(j(e23),j(e20))
        & j(op2(e22,e24)) = op1(j(e22),j(e24))
        & j(op2(e22,e23)) = op1(j(e22),j(e23))
        & j(op2(e22,e22)) = op1(j(e22),j(e22))
        & j(op2(e22,e21)) = op1(j(e22),j(e21))
        & j(op2(e22,e20)) = op1(j(e22),j(e20))
        & j(op2(e21,e24)) = op1(j(e21),j(e24))
        & j(op2(e21,e23)) = op1(j(e21),j(e23))
        & j(op2(e21,e22)) = op1(j(e21),j(e22))
        & j(op2(e21,e21)) = op1(j(e21),j(e21))
        & j(op2(e21,e20)) = op1(j(e21),j(e20))
        & j(op2(e20,e24)) = op1(j(e20),j(e24))
        & j(op2(e20,e23)) = op1(j(e20),j(e23))
        & j(op2(e20,e22)) = op1(j(e20),j(e22))
        & j(op2(e20,e21)) = op1(j(e20),j(e21))
        & j(op2(e20,e20)) = op1(j(e20),j(e20))
        & h(op1(e14,e14)) = op2(h(e14),h(e14))
        & h(op1(e14,e13)) = op2(h(e14),h(e13))
        & h(op1(e14,e12)) = op2(h(e14),h(e12))
        & h(op1(e14,e11)) = op2(h(e14),h(e11))
        & h(op1(e14,e10)) = op2(h(e14),h(e10))
        & h(op1(e13,e14)) = op2(h(e13),h(e14))
        & h(op1(e13,e13)) = op2(h(e13),h(e13))
        & h(op1(e13,e12)) = op2(h(e13),h(e12))
        & h(op1(e13,e11)) = op2(h(e13),h(e11))
        & h(op1(e13,e10)) = op2(h(e13),h(e10))
        & h(op1(e12,e14)) = op2(h(e12),h(e14))
        & h(op1(e12,e13)) = op2(h(e12),h(e13))
        & h(op1(e12,e12)) = op2(h(e12),h(e12))
        & h(op1(e12,e11)) = op2(h(e12),h(e11))
        & h(op1(e12,e10)) = op2(h(e12),h(e10))
        & h(op1(e11,e14)) = op2(h(e11),h(e14))
        & h(op1(e11,e13)) = op2(h(e11),h(e13))
        & h(op1(e11,e12)) = op2(h(e11),h(e12))
        & h(op1(e11,e11)) = op2(h(e11),h(e11))
        & h(op1(e11,e10)) = op2(h(e11),h(e10))
        & h(op1(e10,e14)) = op2(h(e10),h(e14))
        & h(op1(e10,e13)) = op2(h(e10),h(e13))
        & h(op1(e10,e12)) = op2(h(e10),h(e12))
        & h(op1(e10,e11)) = op2(h(e10),h(e11))
        & h(op1(e10,e10)) = op2(h(e10),h(e10)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f639,plain,
    ( ~ spl0_5
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f638]) ).

fof(f638,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f637,f81]) ).

fof(f81,plain,
    e10 != e12,
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ( e13 != e14
    & e12 != e14
    & e12 != e13
    & e11 != e14
    & e11 != e13
    & e11 != e12
    & e10 != e14
    & e10 != e13
    & e10 != e12
    & e10 != e11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).

fof(f637,plain,
    ( e10 = e12
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f627,f450]) ).

fof(f450,plain,
    ( e10 = j(e24)
    | ~ spl0_5 ),
    inference(superposition,[],[f75,f244]) ).

fof(f75,plain,
    e10 = j(h(e10)),
    inference(cnf_transformation,[],[f9]) ).

fof(f627,plain,
    ( e12 = j(e24)
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(superposition,[],[f77,f626]) ).

fof(f626,plain,
    ( e24 = h(e12)
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f80,f81,f82,f83,f84,f85,f86,f87,f88,f89,f90,f91,f92,f93,f94,f95,f96,f97,f98,f99,f100,f101,f102,f103,f104,f105,f106,f107,f108,f109,f110,f111,f112,f113,f114,f115,f116,f117,f118,f119,f120,f121,f122,f123,f124,f70,f71,f72,f73,f74,f75,f76,f77,f78,f79,f125,f126,f127,f128,f129,f130,f131,f132,f133,f134,f135,f136,f137,f138,f139,f140,f141,f142,f143,f144,f145,f146,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f158,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f186,f187,f188,f189,f190,f191,f192,f193,f194,f195,f196,f197,f198,f199,f200,f201,f202,f203,f204,f205,f206,f207,f208,f209,f210,f211,f212,f213,f214,f215,f216,f217,f218,f219,f220,f221,f222,f223,f224,f10,f11,f453,f455,f458,f459,f457,f456,f454,f452,f464,f244,f563,f577,f565,f566,f567,f568,f569,f570,f571,f572,f323,f598,f613,f602,f603,f604,f605,f615,f607,f450,f617,f618,f619,f620,f621,f622,f623,f624,f625,f12]) ).

fof(f12,plain,
    ( e24 = h(e12)
    | e23 = h(e12)
    | e22 = h(e12)
    | e21 = h(e12)
    | e20 = h(e12) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f625,plain,
    ( e10 = op1(e10,e10)
    | ~ spl0_5 ),
    inference(superposition,[],[f224,f450]) ).

fof(f624,plain,
    ( j(e21) = op1(e10,j(e23))
    | ~ spl0_5 ),
    inference(superposition,[],[f223,f450]) ).

fof(f623,plain,
    ( j(e20) = op1(e10,j(e22))
    | ~ spl0_5 ),
    inference(superposition,[],[f222,f450]) ).

fof(f622,plain,
    ( j(e22) = op1(e10,j(e21))
    | ~ spl0_5 ),
    inference(superposition,[],[f221,f450]) ).

fof(f621,plain,
    ( j(e23) = op1(e10,j(e20))
    | ~ spl0_5 ),
    inference(superposition,[],[f220,f450]) ).

fof(f620,plain,
    ( j(e22) = op1(j(e23),e10)
    | ~ spl0_5 ),
    inference(superposition,[],[f219,f450]) ).

fof(f619,plain,
    ( j(e23) = op1(j(e22),e10)
    | ~ spl0_5 ),
    inference(superposition,[],[f214,f450]) ).

fof(f618,plain,
    ( j(e20) = op1(j(e21),e10)
    | ~ spl0_5 ),
    inference(superposition,[],[f209,f450]) ).

fof(f617,plain,
    ( j(e21) = op1(j(e20),e10)
    | ~ spl0_5 ),
    inference(superposition,[],[f204,f450]) ).

fof(f607,plain,
    ( h(e13) = op2(h(e14),e24)
    | ~ spl0_10 ),
    inference(superposition,[],[f196,f323]) ).

fof(f615,plain,
    ( e24 = op2(h(e13),e24)
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f606,f244]) ).

fof(f606,plain,
    ( h(e10) = op2(h(e13),e24)
    | ~ spl0_10 ),
    inference(superposition,[],[f191,f323]) ).

fof(f605,plain,
    ( h(e14) = op2(h(e12),e24)
    | ~ spl0_10 ),
    inference(superposition,[],[f186,f323]) ).

fof(f604,plain,
    ( h(e14) = op2(e24,h(e14))
    | ~ spl0_10 ),
    inference(superposition,[],[f184,f323]) ).

fof(f603,plain,
    ( h(e13) = op2(e24,h(e13))
    | ~ spl0_10 ),
    inference(superposition,[],[f183,f323]) ).

fof(f602,plain,
    ( h(e12) = op2(e24,h(e12))
    | ~ spl0_10 ),
    inference(superposition,[],[f182,f323]) ).

fof(f613,plain,
    ( e24 = h(e12)
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f612,f149]) ).

fof(f612,plain,
    ( op2(e24,e24) = h(e12)
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f599,f244]) ).

fof(f599,plain,
    ( h(e12) = op2(h(e10),e24)
    | ~ spl0_10 ),
    inference(superposition,[],[f176,f323]) ).

fof(f598,plain,
    ( e11 = j(e24)
    | ~ spl0_10 ),
    inference(superposition,[],[f76,f323]) ).

fof(f323,plain,
    ( e24 = h(e11)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f321]) ).

fof(f321,plain,
    ( spl0_10
  <=> e24 = h(e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f572,plain,
    ( h(e12) = op2(h(e14),e24)
    | ~ spl0_5 ),
    inference(superposition,[],[f195,f244]) ).

fof(f571,plain,
    ( h(e13) = op2(h(e13),e24)
    | ~ spl0_5 ),
    inference(superposition,[],[f190,f244]) ).

fof(f570,plain,
    ( h(e11) = op2(h(e12),e24)
    | ~ spl0_5 ),
    inference(superposition,[],[f185,f244]) ).

fof(f569,plain,
    ( e24 = op2(h(e11),e24)
    | ~ spl0_5 ),
    inference(superposition,[],[f180,f244]) ).

fof(f568,plain,
    ( h(e13) = op2(e24,h(e14))
    | ~ spl0_5 ),
    inference(superposition,[],[f179,f244]) ).

fof(f567,plain,
    ( h(e11) = op2(e24,h(e13))
    | ~ spl0_5 ),
    inference(superposition,[],[f178,f244]) ).

fof(f566,plain,
    ( e24 = op2(e24,h(e12))
    | ~ spl0_5 ),
    inference(superposition,[],[f177,f244]) ).

fof(f565,plain,
    ( h(e12) = op2(e24,h(e11))
    | ~ spl0_5 ),
    inference(superposition,[],[f176,f244]) ).

fof(f577,plain,
    ( e24 = h(e14)
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f564,f149]) ).

fof(f564,plain,
    ( op2(e24,e24) = h(e14)
    | ~ spl0_5 ),
    inference(superposition,[],[f175,f244]) ).

fof(f563,plain,
    ( e10 = j(e24)
    | ~ spl0_5 ),
    inference(superposition,[],[f75,f244]) ).

fof(f464,plain,
    ( e24 = h(e14)
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f451,f149]) ).

fof(f451,plain,
    ( op2(e24,e24) = h(e14)
    | ~ spl0_5 ),
    inference(superposition,[],[f175,f244]) ).

fof(f452,plain,
    ( h(e12) = op2(e24,h(e11))
    | ~ spl0_5 ),
    inference(superposition,[],[f176,f244]) ).

fof(f454,plain,
    ( h(e11) = op2(e24,h(e13))
    | ~ spl0_5 ),
    inference(superposition,[],[f178,f244]) ).

fof(f456,plain,
    ( e24 = op2(h(e11),e24)
    | ~ spl0_5 ),
    inference(superposition,[],[f180,f244]) ).

fof(f457,plain,
    ( h(e11) = op2(h(e12),e24)
    | ~ spl0_5 ),
    inference(superposition,[],[f185,f244]) ).

fof(f459,plain,
    ( h(e12) = op2(h(e14),e24)
    | ~ spl0_5 ),
    inference(superposition,[],[f195,f244]) ).

fof(f458,plain,
    ( h(e13) = op2(h(e13),e24)
    | ~ spl0_5 ),
    inference(superposition,[],[f190,f244]) ).

fof(f455,plain,
    ( h(e13) = op2(e24,h(e14))
    | ~ spl0_5 ),
    inference(superposition,[],[f179,f244]) ).

fof(f453,plain,
    ( e24 = op2(e24,h(e12))
    | ~ spl0_5 ),
    inference(superposition,[],[f177,f244]) ).

fof(f11,plain,
    ( e24 = h(e11)
    | e23 = h(e11)
    | e22 = h(e11)
    | e21 = h(e11)
    | e20 = h(e11) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f10,plain,
    ( e24 = h(e10)
    | e23 = h(e10)
    | e22 = h(e10)
    | e21 = h(e10)
    | e20 = h(e10) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f224,plain,
    j(e24) = op1(j(e24),j(e24)),
    inference(forward_demodulation,[],[f69,f149]) ).

fof(f223,plain,
    j(e21) = op1(j(e24),j(e23)),
    inference(forward_demodulation,[],[f68,f148]) ).

fof(f222,plain,
    j(e20) = op1(j(e24),j(e22)),
    inference(forward_demodulation,[],[f67,f147]) ).

fof(f221,plain,
    j(e22) = op1(j(e24),j(e21)),
    inference(forward_demodulation,[],[f66,f146]) ).

fof(f220,plain,
    j(e23) = op1(j(e24),j(e20)),
    inference(forward_demodulation,[],[f65,f145]) ).

fof(f219,plain,
    j(e22) = op1(j(e23),j(e24)),
    inference(forward_demodulation,[],[f64,f144]) ).

fof(f218,plain,
    j(e23) = op1(j(e23),j(e23)),
    inference(forward_demodulation,[],[f63,f143]) ).

fof(f217,plain,
    j(e21) = op1(j(e23),j(e22)),
    inference(forward_demodulation,[],[f62,f142]) ).

fof(f216,plain,
    j(e20) = op1(j(e23),j(e21)),
    inference(forward_demodulation,[],[f61,f141]) ).

fof(f215,plain,
    j(e24) = op1(j(e23),j(e20)),
    inference(forward_demodulation,[],[f60,f140]) ).

fof(f214,plain,
    j(e23) = op1(j(e22),j(e24)),
    inference(forward_demodulation,[],[f59,f139]) ).

fof(f213,plain,
    j(e20) = op1(j(e22),j(e23)),
    inference(forward_demodulation,[],[f58,f138]) ).

fof(f212,plain,
    j(e22) = op1(j(e22),j(e22)),
    inference(forward_demodulation,[],[f57,f137]) ).

fof(f211,plain,
    j(e24) = op1(j(e22),j(e21)),
    inference(forward_demodulation,[],[f56,f136]) ).

fof(f210,plain,
    j(e21) = op1(j(e22),j(e20)),
    inference(forward_demodulation,[],[f55,f135]) ).

fof(f209,plain,
    j(e20) = op1(j(e21),j(e24)),
    inference(forward_demodulation,[],[f54,f134]) ).

fof(f208,plain,
    j(e24) = op1(j(e21),j(e23)),
    inference(forward_demodulation,[],[f53,f133]) ).

fof(f207,plain,
    j(e23) = op1(j(e21),j(e22)),
    inference(forward_demodulation,[],[f52,f132]) ).

fof(f206,plain,
    j(e21) = op1(j(e21),j(e21)),
    inference(forward_demodulation,[],[f51,f131]) ).

fof(f205,plain,
    j(e22) = op1(j(e21),j(e20)),
    inference(forward_demodulation,[],[f50,f130]) ).

fof(f204,plain,
    j(e21) = op1(j(e20),j(e24)),
    inference(forward_demodulation,[],[f49,f129]) ).

fof(f203,plain,
    j(e22) = op1(j(e20),j(e23)),
    inference(forward_demodulation,[],[f48,f128]) ).

fof(f202,plain,
    j(e24) = op1(j(e20),j(e22)),
    inference(forward_demodulation,[],[f47,f127]) ).

fof(f201,plain,
    j(e23) = op1(j(e20),j(e21)),
    inference(forward_demodulation,[],[f46,f126]) ).

fof(f200,plain,
    j(e20) = op1(j(e20),j(e20)),
    inference(forward_demodulation,[],[f45,f125]) ).

fof(f199,plain,
    h(e10) = op2(h(e14),h(e14)),
    inference(forward_demodulation,[],[f44,f174]) ).

fof(f198,plain,
    h(e14) = op2(h(e14),h(e13)),
    inference(forward_demodulation,[],[f43,f173]) ).

fof(f197,plain,
    h(e11) = op2(h(e14),h(e12)),
    inference(forward_demodulation,[],[f42,f172]) ).

fof(f196,plain,
    h(e13) = op2(h(e14),h(e11)),
    inference(forward_demodulation,[],[f41,f171]) ).

fof(f195,plain,
    h(e12) = op2(h(e14),h(e10)),
    inference(forward_demodulation,[],[f40,f170]) ).

fof(f194,plain,
    h(e11) = op2(h(e13),h(e14)),
    inference(forward_demodulation,[],[f39,f169]) ).

fof(f193,plain,
    h(e12) = op2(h(e13),h(e13)),
    inference(forward_demodulation,[],[f38,f168]) ).

fof(f192,plain,
    h(e14) = op2(h(e13),h(e12)),
    inference(forward_demodulation,[],[f37,f167]) ).

fof(f191,plain,
    h(e10) = op2(h(e13),h(e11)),
    inference(forward_demodulation,[],[f36,f166]) ).

fof(f190,plain,
    h(e13) = op2(h(e13),h(e10)),
    inference(forward_demodulation,[],[f35,f165]) ).

fof(f189,plain,
    h(e12) = op2(h(e12),h(e14)),
    inference(forward_demodulation,[],[f34,f164]) ).

fof(f188,plain,
    h(e10) = op2(h(e12),h(e13)),
    inference(forward_demodulation,[],[f33,f163]) ).

fof(f187,plain,
    h(e13) = op2(h(e12),h(e12)),
    inference(forward_demodulation,[],[f32,f162]) ).

fof(f186,plain,
    h(e14) = op2(h(e12),h(e11)),
    inference(forward_demodulation,[],[f31,f161]) ).

fof(f185,plain,
    h(e11) = op2(h(e12),h(e10)),
    inference(forward_demodulation,[],[f30,f160]) ).

fof(f184,plain,
    h(e14) = op2(h(e11),h(e14)),
    inference(forward_demodulation,[],[f29,f159]) ).

fof(f183,plain,
    h(e13) = op2(h(e11),h(e13)),
    inference(forward_demodulation,[],[f28,f158]) ).

fof(f182,plain,
    h(e12) = op2(h(e11),h(e12)),
    inference(forward_demodulation,[],[f27,f157]) ).

fof(f181,plain,
    h(e11) = op2(h(e11),h(e11)),
    inference(forward_demodulation,[],[f26,f156]) ).

fof(f179,plain,
    h(e13) = op2(h(e10),h(e14)),
    inference(forward_demodulation,[],[f24,f154]) ).

fof(f178,plain,
    h(e11) = op2(h(e10),h(e13)),
    inference(forward_demodulation,[],[f23,f153]) ).

fof(f177,plain,
    h(e10) = op2(h(e10),h(e12)),
    inference(forward_demodulation,[],[f22,f152]) ).

fof(f176,plain,
    h(e12) = op2(h(e10),h(e11)),
    inference(forward_demodulation,[],[f21,f151]) ).

fof(f175,plain,
    h(e14) = op2(h(e10),h(e10)),
    inference(forward_demodulation,[],[f20,f150]) ).

fof(f174,plain,
    e10 = op1(e14,e14),
    inference(cnf_transformation,[],[f4]) ).

fof(f173,plain,
    e14 = op1(e14,e13),
    inference(cnf_transformation,[],[f4]) ).

fof(f172,plain,
    e11 = op1(e14,e12),
    inference(cnf_transformation,[],[f4]) ).

fof(f171,plain,
    e13 = op1(e14,e11),
    inference(cnf_transformation,[],[f4]) ).

fof(f170,plain,
    e12 = op1(e14,e10),
    inference(cnf_transformation,[],[f4]) ).

fof(f169,plain,
    e11 = op1(e13,e14),
    inference(cnf_transformation,[],[f4]) ).

fof(f168,plain,
    e12 = op1(e13,e13),
    inference(cnf_transformation,[],[f4]) ).

fof(f167,plain,
    e14 = op1(e13,e12),
    inference(cnf_transformation,[],[f4]) ).

fof(f166,plain,
    e10 = op1(e13,e11),
    inference(cnf_transformation,[],[f4]) ).

fof(f165,plain,
    e13 = op1(e13,e10),
    inference(cnf_transformation,[],[f4]) ).

fof(f164,plain,
    e12 = op1(e12,e14),
    inference(cnf_transformation,[],[f4]) ).

fof(f163,plain,
    e10 = op1(e12,e13),
    inference(cnf_transformation,[],[f4]) ).

fof(f162,plain,
    e13 = op1(e12,e12),
    inference(cnf_transformation,[],[f4]) ).

fof(f161,plain,
    e14 = op1(e12,e11),
    inference(cnf_transformation,[],[f4]) ).

fof(f160,plain,
    e11 = op1(e12,e10),
    inference(cnf_transformation,[],[f4]) ).

fof(f159,plain,
    e14 = op1(e11,e14),
    inference(cnf_transformation,[],[f4]) ).

fof(f158,plain,
    e13 = op1(e11,e13),
    inference(cnf_transformation,[],[f4]) ).

fof(f157,plain,
    e12 = op1(e11,e12),
    inference(cnf_transformation,[],[f4]) ).

fof(f156,plain,
    e11 = op1(e11,e11),
    inference(cnf_transformation,[],[f4]) ).

fof(f154,plain,
    e13 = op1(e10,e14),
    inference(cnf_transformation,[],[f4]) ).

fof(f153,plain,
    e11 = op1(e10,e13),
    inference(cnf_transformation,[],[f4]) ).

fof(f152,plain,
    e10 = op1(e10,e12),
    inference(cnf_transformation,[],[f4]) ).

fof(f151,plain,
    e12 = op1(e10,e11),
    inference(cnf_transformation,[],[f4]) ).

fof(f150,plain,
    e14 = op1(e10,e10),
    inference(cnf_transformation,[],[f4]) ).

fof(f149,plain,
    e24 = op2(e24,e24),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    e21 = op2(e24,e23),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    e20 = op2(e24,e22),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    e22 = op2(e24,e21),
    inference(cnf_transformation,[],[f5]) ).

fof(f145,plain,
    e23 = op2(e24,e20),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    e22 = op2(e23,e24),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    e23 = op2(e23,e23),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    e21 = op2(e23,e22),
    inference(cnf_transformation,[],[f5]) ).

fof(f141,plain,
    e20 = op2(e23,e21),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    e24 = op2(e23,e20),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    e23 = op2(e22,e24),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    e20 = op2(e22,e23),
    inference(cnf_transformation,[],[f5]) ).

fof(f137,plain,
    e22 = op2(e22,e22),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    e24 = op2(e22,e21),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    e21 = op2(e22,e20),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    e20 = op2(e21,e24),
    inference(cnf_transformation,[],[f5]) ).

fof(f133,plain,
    e24 = op2(e21,e23),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    e23 = op2(e21,e22),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    e21 = op2(e21,e21),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    e22 = op2(e21,e20),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    e22 = op2(e20,e23),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    e24 = op2(e20,e22),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    e23 = op2(e20,e21),
    inference(cnf_transformation,[],[f5]) ).

fof(f125,plain,
    e20 = op2(e20,e20),
    inference(cnf_transformation,[],[f5]) ).

fof(f79,plain,
    e14 = j(h(e14)),
    inference(cnf_transformation,[],[f9]) ).

fof(f78,plain,
    e13 = j(h(e13)),
    inference(cnf_transformation,[],[f9]) ).

fof(f76,plain,
    e11 = j(h(e11)),
    inference(cnf_transformation,[],[f9]) ).

fof(f74,plain,
    e24 = h(j(e24)),
    inference(cnf_transformation,[],[f9]) ).

fof(f73,plain,
    e23 = h(j(e23)),
    inference(cnf_transformation,[],[f9]) ).

fof(f72,plain,
    e22 = h(j(e22)),
    inference(cnf_transformation,[],[f9]) ).

fof(f71,plain,
    e21 = h(j(e21)),
    inference(cnf_transformation,[],[f9]) ).

fof(f70,plain,
    e20 = h(j(e20)),
    inference(cnf_transformation,[],[f9]) ).

fof(f124,plain,
    e14 != e24,
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ( e14 != e24
    & e14 != e23
    & e14 != e22
    & e14 != e21
    & e14 != e20
    & e13 != e24
    & e13 != e23
    & e13 != e22
    & e13 != e21
    & e13 != e20
    & e12 != e24
    & e12 != e23
    & e12 != e22
    & e12 != e21
    & e12 != e20
    & e11 != e24
    & e11 != e23
    & e11 != e22
    & e11 != e21
    & e11 != e20
    & e10 != e24
    & e10 != e23
    & e10 != e22
    & e10 != e21
    & e10 != e20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).

fof(f123,plain,
    e14 != e23,
    inference(cnf_transformation,[],[f3]) ).

fof(f122,plain,
    e14 != e22,
    inference(cnf_transformation,[],[f3]) ).

fof(f121,plain,
    e14 != e21,
    inference(cnf_transformation,[],[f3]) ).

fof(f120,plain,
    e14 != e20,
    inference(cnf_transformation,[],[f3]) ).

fof(f119,plain,
    e13 != e24,
    inference(cnf_transformation,[],[f3]) ).

fof(f118,plain,
    e13 != e23,
    inference(cnf_transformation,[],[f3]) ).

fof(f117,plain,
    e13 != e22,
    inference(cnf_transformation,[],[f3]) ).

fof(f116,plain,
    e13 != e21,
    inference(cnf_transformation,[],[f3]) ).

fof(f115,plain,
    e13 != e20,
    inference(cnf_transformation,[],[f3]) ).

fof(f114,plain,
    e12 != e24,
    inference(cnf_transformation,[],[f3]) ).

fof(f113,plain,
    e12 != e23,
    inference(cnf_transformation,[],[f3]) ).

fof(f112,plain,
    e12 != e22,
    inference(cnf_transformation,[],[f3]) ).

fof(f111,plain,
    e12 != e21,
    inference(cnf_transformation,[],[f3]) ).

fof(f110,plain,
    e12 != e20,
    inference(cnf_transformation,[],[f3]) ).

fof(f109,plain,
    e11 != e24,
    inference(cnf_transformation,[],[f3]) ).

fof(f108,plain,
    e11 != e23,
    inference(cnf_transformation,[],[f3]) ).

fof(f107,plain,
    e11 != e22,
    inference(cnf_transformation,[],[f3]) ).

fof(f106,plain,
    e11 != e21,
    inference(cnf_transformation,[],[f3]) ).

fof(f105,plain,
    e11 != e20,
    inference(cnf_transformation,[],[f3]) ).

fof(f104,plain,
    e10 != e24,
    inference(cnf_transformation,[],[f3]) ).

fof(f103,plain,
    e10 != e23,
    inference(cnf_transformation,[],[f3]) ).

fof(f102,plain,
    e10 != e22,
    inference(cnf_transformation,[],[f3]) ).

fof(f101,plain,
    e10 != e21,
    inference(cnf_transformation,[],[f3]) ).

fof(f100,plain,
    e10 != e20,
    inference(cnf_transformation,[],[f3]) ).

fof(f99,plain,
    e23 != e24,
    inference(cnf_transformation,[],[f2]) ).

fof(f98,plain,
    e22 != e24,
    inference(cnf_transformation,[],[f2]) ).

fof(f97,plain,
    e22 != e23,
    inference(cnf_transformation,[],[f2]) ).

fof(f95,plain,
    e21 != e23,
    inference(cnf_transformation,[],[f2]) ).

fof(f94,plain,
    e21 != e22,
    inference(cnf_transformation,[],[f2]) ).

fof(f93,plain,
    e20 != e24,
    inference(cnf_transformation,[],[f2]) ).

fof(f92,plain,
    e20 != e23,
    inference(cnf_transformation,[],[f2]) ).

fof(f91,plain,
    e20 != e22,
    inference(cnf_transformation,[],[f2]) ).

fof(f90,plain,
    e20 != e21,
    inference(cnf_transformation,[],[f2]) ).

fof(f89,plain,
    e13 != e14,
    inference(cnf_transformation,[],[f1]) ).

fof(f88,plain,
    e12 != e14,
    inference(cnf_transformation,[],[f1]) ).

fof(f87,plain,
    e12 != e13,
    inference(cnf_transformation,[],[f1]) ).

fof(f86,plain,
    e11 != e14,
    inference(cnf_transformation,[],[f1]) ).

fof(f85,plain,
    e11 != e13,
    inference(cnf_transformation,[],[f1]) ).

fof(f84,plain,
    e11 != e12,
    inference(cnf_transformation,[],[f1]) ).

fof(f83,plain,
    e10 != e14,
    inference(cnf_transformation,[],[f1]) ).

fof(f82,plain,
    e10 != e13,
    inference(cnf_transformation,[],[f1]) ).

fof(f80,plain,
    e10 != e11,
    inference(cnf_transformation,[],[f1]) ).

fof(f13,plain,
    ( e24 = h(e13)
    | e23 = h(e13)
    | e22 = h(e13)
    | e21 = h(e13)
    | e20 = h(e13) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f14,plain,
    ( e24 = h(e14)
    | e23 = h(e14)
    | e22 = h(e14)
    | e21 = h(e14)
    | e20 = h(e14) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f15,plain,
    ( e14 = j(e20)
    | e13 = j(e20)
    | e12 = j(e20)
    | e11 = j(e20)
    | e10 = j(e20) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f16,plain,
    ( e14 = j(e21)
    | e13 = j(e21)
    | e12 = j(e21)
    | e11 = j(e21)
    | e10 = j(e21) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f17,plain,
    ( e14 = j(e22)
    | e13 = j(e22)
    | e12 = j(e22)
    | e11 = j(e22)
    | e10 = j(e22) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f18,plain,
    ( e14 = j(e23)
    | e13 = j(e23)
    | e12 = j(e23)
    | e11 = j(e23)
    | e10 = j(e23) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f19,plain,
    ( e14 = j(e24)
    | e13 = j(e24)
    | e12 = j(e24)
    | e11 = j(e24)
    | e10 = j(e24) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f20,plain,
    h(op1(e10,e10)) = op2(h(e10),h(e10)),
    inference(cnf_transformation,[],[f9]) ).

fof(f21,plain,
    h(op1(e10,e11)) = op2(h(e10),h(e11)),
    inference(cnf_transformation,[],[f9]) ).

fof(f22,plain,
    h(op1(e10,e12)) = op2(h(e10),h(e12)),
    inference(cnf_transformation,[],[f9]) ).

fof(f23,plain,
    h(op1(e10,e13)) = op2(h(e10),h(e13)),
    inference(cnf_transformation,[],[f9]) ).

fof(f24,plain,
    h(op1(e10,e14)) = op2(h(e10),h(e14)),
    inference(cnf_transformation,[],[f9]) ).

fof(f26,plain,
    h(op1(e11,e11)) = op2(h(e11),h(e11)),
    inference(cnf_transformation,[],[f9]) ).

fof(f27,plain,
    h(op1(e11,e12)) = op2(h(e11),h(e12)),
    inference(cnf_transformation,[],[f9]) ).

fof(f28,plain,
    h(op1(e11,e13)) = op2(h(e11),h(e13)),
    inference(cnf_transformation,[],[f9]) ).

fof(f29,plain,
    h(op1(e11,e14)) = op2(h(e11),h(e14)),
    inference(cnf_transformation,[],[f9]) ).

fof(f30,plain,
    h(op1(e12,e10)) = op2(h(e12),h(e10)),
    inference(cnf_transformation,[],[f9]) ).

fof(f31,plain,
    h(op1(e12,e11)) = op2(h(e12),h(e11)),
    inference(cnf_transformation,[],[f9]) ).

fof(f32,plain,
    h(op1(e12,e12)) = op2(h(e12),h(e12)),
    inference(cnf_transformation,[],[f9]) ).

fof(f33,plain,
    h(op1(e12,e13)) = op2(h(e12),h(e13)),
    inference(cnf_transformation,[],[f9]) ).

fof(f34,plain,
    h(op1(e12,e14)) = op2(h(e12),h(e14)),
    inference(cnf_transformation,[],[f9]) ).

fof(f35,plain,
    h(op1(e13,e10)) = op2(h(e13),h(e10)),
    inference(cnf_transformation,[],[f9]) ).

fof(f36,plain,
    h(op1(e13,e11)) = op2(h(e13),h(e11)),
    inference(cnf_transformation,[],[f9]) ).

fof(f37,plain,
    h(op1(e13,e12)) = op2(h(e13),h(e12)),
    inference(cnf_transformation,[],[f9]) ).

fof(f38,plain,
    h(op1(e13,e13)) = op2(h(e13),h(e13)),
    inference(cnf_transformation,[],[f9]) ).

fof(f39,plain,
    h(op1(e13,e14)) = op2(h(e13),h(e14)),
    inference(cnf_transformation,[],[f9]) ).

fof(f40,plain,
    h(op1(e14,e10)) = op2(h(e14),h(e10)),
    inference(cnf_transformation,[],[f9]) ).

fof(f41,plain,
    h(op1(e14,e11)) = op2(h(e14),h(e11)),
    inference(cnf_transformation,[],[f9]) ).

fof(f42,plain,
    h(op1(e14,e12)) = op2(h(e14),h(e12)),
    inference(cnf_transformation,[],[f9]) ).

fof(f43,plain,
    h(op1(e14,e13)) = op2(h(e14),h(e13)),
    inference(cnf_transformation,[],[f9]) ).

fof(f44,plain,
    h(op1(e14,e14)) = op2(h(e14),h(e14)),
    inference(cnf_transformation,[],[f9]) ).

fof(f45,plain,
    j(op2(e20,e20)) = op1(j(e20),j(e20)),
    inference(cnf_transformation,[],[f9]) ).

fof(f46,plain,
    j(op2(e20,e21)) = op1(j(e20),j(e21)),
    inference(cnf_transformation,[],[f9]) ).

fof(f47,plain,
    j(op2(e20,e22)) = op1(j(e20),j(e22)),
    inference(cnf_transformation,[],[f9]) ).

fof(f48,plain,
    j(op2(e20,e23)) = op1(j(e20),j(e23)),
    inference(cnf_transformation,[],[f9]) ).

fof(f49,plain,
    j(op2(e20,e24)) = op1(j(e20),j(e24)),
    inference(cnf_transformation,[],[f9]) ).

fof(f50,plain,
    j(op2(e21,e20)) = op1(j(e21),j(e20)),
    inference(cnf_transformation,[],[f9]) ).

fof(f51,plain,
    j(op2(e21,e21)) = op1(j(e21),j(e21)),
    inference(cnf_transformation,[],[f9]) ).

fof(f52,plain,
    j(op2(e21,e22)) = op1(j(e21),j(e22)),
    inference(cnf_transformation,[],[f9]) ).

fof(f53,plain,
    j(op2(e21,e23)) = op1(j(e21),j(e23)),
    inference(cnf_transformation,[],[f9]) ).

fof(f54,plain,
    j(op2(e21,e24)) = op1(j(e21),j(e24)),
    inference(cnf_transformation,[],[f9]) ).

fof(f55,plain,
    j(op2(e22,e20)) = op1(j(e22),j(e20)),
    inference(cnf_transformation,[],[f9]) ).

fof(f56,plain,
    j(op2(e22,e21)) = op1(j(e22),j(e21)),
    inference(cnf_transformation,[],[f9]) ).

fof(f57,plain,
    j(op2(e22,e22)) = op1(j(e22),j(e22)),
    inference(cnf_transformation,[],[f9]) ).

fof(f58,plain,
    j(op2(e22,e23)) = op1(j(e22),j(e23)),
    inference(cnf_transformation,[],[f9]) ).

fof(f59,plain,
    j(op2(e22,e24)) = op1(j(e22),j(e24)),
    inference(cnf_transformation,[],[f9]) ).

fof(f60,plain,
    j(op2(e23,e20)) = op1(j(e23),j(e20)),
    inference(cnf_transformation,[],[f9]) ).

fof(f61,plain,
    j(op2(e23,e21)) = op1(j(e23),j(e21)),
    inference(cnf_transformation,[],[f9]) ).

fof(f62,plain,
    j(op2(e23,e22)) = op1(j(e23),j(e22)),
    inference(cnf_transformation,[],[f9]) ).

fof(f63,plain,
    j(op2(e23,e23)) = op1(j(e23),j(e23)),
    inference(cnf_transformation,[],[f9]) ).

fof(f64,plain,
    j(op2(e23,e24)) = op1(j(e23),j(e24)),
    inference(cnf_transformation,[],[f9]) ).

fof(f65,plain,
    j(op2(e24,e20)) = op1(j(e24),j(e20)),
    inference(cnf_transformation,[],[f9]) ).

fof(f66,plain,
    j(op2(e24,e21)) = op1(j(e24),j(e21)),
    inference(cnf_transformation,[],[f9]) ).

fof(f67,plain,
    j(op2(e24,e22)) = op1(j(e24),j(e22)),
    inference(cnf_transformation,[],[f9]) ).

fof(f68,plain,
    j(op2(e24,e23)) = op1(j(e24),j(e23)),
    inference(cnf_transformation,[],[f9]) ).

fof(f69,plain,
    j(op2(e24,e24)) = op1(j(e24),j(e24)),
    inference(cnf_transformation,[],[f9]) ).

fof(f77,plain,
    e12 = j(h(e12)),
    inference(cnf_transformation,[],[f9]) ).

fof(f596,plain,
    ( ~ spl0_5
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f595]) ).

fof(f595,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f594,f98]) ).

fof(f594,plain,
    ( e22 = e24
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f593,f144]) ).

fof(f593,plain,
    ( e24 = op2(e23,e24)
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f580,f244]) ).

fof(f580,plain,
    ( h(e10) = op2(e23,h(e10))
    | ~ spl0_9 ),
    inference(superposition,[],[f180,f319]) ).

fof(f319,plain,
    ( e23 = h(e11)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f317]) ).

fof(f317,plain,
    ( spl0_9
  <=> e23 = h(e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f552,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f551]) ).

fof(f551,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f550,f83]) ).

fof(f550,plain,
    ( e10 = e14
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f540,f492]) ).

fof(f492,plain,
    ( e10 = j(e20)
    | ~ spl0_1 ),
    inference(superposition,[],[f75,f228]) ).

fof(f228,plain,
    ( e20 = h(e10)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f226]) ).

fof(f226,plain,
    ( spl0_1
  <=> e20 = h(e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f540,plain,
    ( e14 = j(e20)
    | ~ spl0_1 ),
    inference(superposition,[],[f79,f505]) ).

fof(f505,plain,
    ( e20 = h(e14)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f493,f125]) ).

fof(f493,plain,
    ( op2(e20,e20) = h(e14)
    | ~ spl0_1 ),
    inference(superposition,[],[f175,f228]) ).

fof(f490,plain,
    ( ~ spl0_5
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f489]) ).

fof(f489,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f488,f99]) ).

fof(f488,plain,
    ( e23 = e24
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f487,f139]) ).

fof(f487,plain,
    ( e24 = op2(e22,e24)
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f475,f244]) ).

fof(f475,plain,
    ( h(e10) = op2(e22,h(e10))
    | ~ spl0_8 ),
    inference(superposition,[],[f180,f315]) ).

fof(f315,plain,
    ( e22 = h(e11)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f313]) ).

fof(f313,plain,
    ( spl0_8
  <=> e22 = h(e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f471,plain,
    ( ~ spl0_5
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f470]) ).

fof(f470,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f469,f93]) ).

fof(f469,plain,
    ( e20 = e24
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f468,f134]) ).

fof(f468,plain,
    ( e24 = op2(e21,e24)
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f456,f311]) ).

fof(f311,plain,
    ( e21 = h(e11)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f309]) ).

fof(f309,plain,
    ( spl0_7
  <=> e21 = h(e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f439,plain,
    ~ spl0_4,
    inference(avatar_contradiction_clause,[],[f438]) ).

fof(f438,plain,
    ( $false
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f437,f83]) ).

fof(f437,plain,
    ( e10 = e14
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f427,f376]) ).

fof(f376,plain,
    ( e10 = j(e23)
    | ~ spl0_4 ),
    inference(superposition,[],[f75,f240]) ).

fof(f240,plain,
    ( e23 = h(e10)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f238,plain,
    ( spl0_4
  <=> e23 = h(e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f427,plain,
    ( e14 = j(e23)
    | ~ spl0_4 ),
    inference(superposition,[],[f79,f389]) ).

fof(f389,plain,
    ( e23 = h(e14)
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f377,f143]) ).

fof(f377,plain,
    ( op2(e23,e23) = h(e14)
    | ~ spl0_4 ),
    inference(superposition,[],[f175,f240]) ).

fof(f396,plain,
    ( ~ spl0_4
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f395]) ).

fof(f395,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f394,f97]) ).

fof(f394,plain,
    ( e22 = e23
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f393,f128]) ).

fof(f393,plain,
    ( e23 = op2(e20,e23)
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f382,f307]) ).

fof(f382,plain,
    ( e23 = op2(h(e11),e23)
    | ~ spl0_4 ),
    inference(superposition,[],[f180,f240]) ).

fof(f365,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f364]) ).

fof(f364,plain,
    ( $false
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f363,f83]) ).

fof(f363,plain,
    ( e10 = e14
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f353,f289]) ).

fof(f289,plain,
    ( e10 = j(e22)
    | ~ spl0_3 ),
    inference(superposition,[],[f75,f236]) ).

fof(f236,plain,
    ( e22 = h(e10)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f234]) ).

fof(f234,plain,
    ( spl0_3
  <=> e22 = h(e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f353,plain,
    ( e14 = j(e22)
    | ~ spl0_3 ),
    inference(superposition,[],[f79,f301]) ).

fof(f301,plain,
    ( e22 = h(e14)
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f290,f137]) ).

fof(f290,plain,
    ( op2(e22,e22) = h(e14)
    | ~ spl0_3 ),
    inference(superposition,[],[f175,f236]) ).

fof(f324,plain,
    ( spl0_6
    | spl0_7
    | spl0_8
    | spl0_9
    | spl0_10 ),
    inference(avatar_split_clause,[],[f11,f321,f317,f313,f309,f305]) ).

fof(f283,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f282]) ).

fof(f282,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f281,f83]) ).

fof(f281,plain,
    ( e10 = e14
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f271,f246]) ).

fof(f246,plain,
    ( e10 = j(e21)
    | ~ spl0_2 ),
    inference(superposition,[],[f75,f232]) ).

fof(f232,plain,
    ( e21 = h(e10)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f230]) ).

fof(f230,plain,
    ( spl0_2
  <=> e21 = h(e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f271,plain,
    ( e14 = j(e21)
    | ~ spl0_2 ),
    inference(superposition,[],[f79,f257]) ).

fof(f257,plain,
    ( e21 = h(e14)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f247,f131]) ).

fof(f247,plain,
    ( op2(e21,e21) = h(e14)
    | ~ spl0_2 ),
    inference(superposition,[],[f175,f232]) ).

fof(f245,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f10,f242,f238,f234,f230,f226]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : ALG184+1 : TPTP v8.1.2. Released v2.7.0.
% 0.12/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34  % Computer : n012.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Fri May  3 19:57:38 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.35  % (4158)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37  % (4161)WARNING: value z3 for option sas not known
% 0.13/0.37  % (4160)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37  % (4164)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.37  % (4165)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.37  % (4163)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.37  % (4159)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37  % (4161)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37  % (4162)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.38  Detected minimum model sizes of [10]
% 0.13/0.38  Detected maximum model sizes of [max]
% 0.13/0.38  Detected minimum model sizes of [10]
% 0.13/0.38  Detected maximum model sizes of [max]
% 0.13/0.38  TRYING [10]
% 0.13/0.38  TRYING [10]
% 0.13/0.39  % (4161)First to succeed.
% 0.13/0.39  % (4161)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4158"
% 0.13/0.39  % (4161)Refutation found. Thanks to Tanya!
% 0.13/0.39  % SZS status Theorem for theBenchmark
% 0.13/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.40  % (4161)------------------------------
% 0.13/0.40  % (4161)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.40  % (4161)Termination reason: Refutation
% 0.13/0.40  
% 0.13/0.40  % (4161)Memory used [KB]: 1079
% 0.13/0.40  % (4161)Time elapsed: 0.024 s
% 0.13/0.40  % (4161)Instructions burned: 44 (million)
% 0.13/0.40  % (4158)Success in time 0.019 s
%------------------------------------------------------------------------------