TSTP Solution File: ALG076+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ALG076+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n004.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 : Wed Aug 31 15:42:30 EDT 2022

% Result   : Theorem 1.85s 0.59s
% Output   : Refutation 1.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   54
% Syntax   : Number of formulae    :  477 (  62 unt;   0 def)
%            Number of atoms       : 1580 ( 866 equ)
%            Maximal formula atoms :  110 (   3 avg)
%            Number of connectives : 1681 ( 578   ~; 712   |; 340   &)
%                                         (  49 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   74 (   4 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :   51 (  49 usr;  50 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;  10 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2844,plain,
    $false,
    inference(avatar_sat_refutation,[],[f237,f258,f279,f300,f342,f363,f384,f417,f454,f466,f490,f509,f510,f541,f599,f664,f707,f724,f742,f745,f766,f883,f891,f926,f990,f1135,f1197,f1224,f1302,f1373,f1382,f1389,f1397,f1428,f1481,f1491,f1542,f1558,f1595,f1614,f1628,f1700,f1704,f1717,f1723,f1798,f1811,f1818,f1834,f1851,f1877,f1917,f1954,f1987,f2078,f2086,f2099,f2145,f2152,f2163,f2193,f2211,f2265,f2282,f2283,f2292,f2364,f2380,f2401,f2502,f2506,f2513,f2514,f2519,f2527,f2533,f2545,f2615,f2621,f2623,f2628,f2662,f2669,f2744,f2755,f2756,f2760,f2767,f2768,f2769,f2773,f2774,f2782,f2784,f2843]) ).

fof(f2843,plain,
    ( ~ spl0_8
    | ~ spl0_24 ),
    inference(avatar_contradiction_clause,[],[f2842]) ).

fof(f2842,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_24 ),
    inference(subsumption_resolution,[],[f2841,f140]) ).

fof(f140,plain,
    e20 != e22,
    inference(cnf_transformation,[],[f2]) ).

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

fof(f2841,plain,
    ( e20 = e22
    | ~ spl0_8
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f2840,f169]) ).

fof(f169,plain,
    e20 = op2(e22,e23),
    inference(cnf_transformation,[],[f5]) ).

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

fof(f2840,plain,
    ( e22 = op2(e22,e23)
    | ~ spl0_8
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f2839,f274]) ).

fof(f274,plain,
    ( e22 = h(e13)
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f272]) ).

fof(f272,plain,
    ( spl0_24
  <=> e22 = h(e13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f2839,plain,
    ( h(e13) = op2(h(e13),e23)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f826,f207]) ).

fof(f207,plain,
    ( e23 = h(e10)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f205]) ).

fof(f205,plain,
    ( spl0_8
  <=> e23 = h(e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f826,plain,
    h(e13) = op2(h(e13),h(e10)),
    inference(forward_demodulation,[],[f70,f44]) ).

fof(f44,plain,
    e13 = op1(e13,e10),
    inference(cnf_transformation,[],[f4]) ).

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

fof(f70,plain,
    h(op1(e13,e10)) = op2(h(e13),h(e10)),
    inference(cnf_transformation,[],[f9]) ).

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

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

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

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

fof(f2784,plain,
    ( spl0_27
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f759,f176,f285]) ).

fof(f285,plain,
    ( spl0_27
  <=> e14 = j(e20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f176,plain,
    ( spl0_1
  <=> e20 = h(e14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f759,plain,
    ( e14 = j(e20)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f106,f178]) ).

fof(f178,plain,
    ( e20 = h(e14)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f176]) ).

fof(f106,plain,
    e14 = j(h(e14)),
    inference(cnf_transformation,[],[f9]) ).

fof(f2782,plain,
    ( spl0_1
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f2259,f285,f176]) ).

fof(f2259,plain,
    ( e20 = h(e14)
    | ~ spl0_27 ),
    inference(forward_demodulation,[],[f135,f287]) ).

fof(f287,plain,
    ( e14 = j(e20)
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f285]) ).

fof(f135,plain,
    e20 = h(j(e20)),
    inference(cnf_transformation,[],[f9]) ).

fof(f2774,plain,
    ( spl0_1
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f2761,f226,f176]) ).

fof(f226,plain,
    ( spl0_13
  <=> e21 = h(e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f2761,plain,
    ( e20 = h(e14)
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2611,f161]) ).

fof(f161,plain,
    e20 = op2(e21,e21),
    inference(cnf_transformation,[],[f5]) ).

fof(f2611,plain,
    ( op2(e21,e21) = h(e14)
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1164,f228]) ).

fof(f228,plain,
    ( e21 = h(e12)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f226]) ).

fof(f1164,plain,
    h(e14) = op2(h(e12),h(e12)),
    inference(forward_demodulation,[],[f75,f25]) ).

fof(f25,plain,
    e14 = op1(e12,e12),
    inference(cnf_transformation,[],[f4]) ).

fof(f75,plain,
    h(op1(e12,e12)) = op2(h(e12),h(e12)),
    inference(cnf_transformation,[],[f9]) ).

fof(f2773,plain,
    ( spl0_8
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f1689,f327,f205]) ).

fof(f327,plain,
    ( spl0_37
  <=> e10 = j(e23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f1689,plain,
    ( e23 = h(e10)
    | ~ spl0_37 ),
    inference(forward_demodulation,[],[f78,f329]) ).

fof(f329,plain,
    ( e10 = j(e23)
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f327]) ).

fof(f78,plain,
    e23 = h(j(e23)),
    inference(cnf_transformation,[],[f9]) ).

fof(f2769,plain,
    ( spl0_6
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f1078,f281,f197]) ).

fof(f197,plain,
    ( spl0_6
  <=> e20 = h(e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

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

fof(f1078,plain,
    ( e20 = h(e10)
    | ~ spl0_26 ),
    inference(forward_demodulation,[],[f135,f283]) ).

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

fof(f2768,plain,
    ( spl0_40
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f1362,f192,f339]) ).

fof(f339,plain,
    ( spl0_40
  <=> e14 = j(e23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f192,plain,
    ( spl0_5
  <=> e23 = h(e14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f1362,plain,
    ( e14 = j(e23)
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f106,f194]) ).

fof(f194,plain,
    ( e23 = h(e14)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f192]) ).

fof(f2767,plain,
    ( spl0_33
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f2071,f369,f310]) ).

fof(f310,plain,
    ( spl0_33
  <=> e24 = h(e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

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

fof(f2071,plain,
    ( e24 = h(e11)
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f111,f371]) ).

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

fof(f111,plain,
    e24 = h(j(e24)),
    inference(cnf_transformation,[],[f9]) ).

fof(f2760,plain,
    ( spl0_5
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f977,f339,f192]) ).

fof(f977,plain,
    ( e23 = h(e14)
    | ~ spl0_40 ),
    inference(forward_demodulation,[],[f78,f341]) ).

fof(f341,plain,
    ( e14 = j(e23)
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f339]) ).

fof(f2756,plain,
    ( spl0_13
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f2597,f239,f226]) ).

fof(f239,plain,
    ( spl0_16
  <=> e12 = j(e21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f2597,plain,
    ( e21 = h(e12)
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f116,f241]) ).

fof(f241,plain,
    ( e12 = j(e21)
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f239]) ).

fof(f116,plain,
    e21 = h(j(e21)),
    inference(cnf_transformation,[],[f9]) ).

fof(f2755,plain,
    ( spl0_24
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f413,f344,f272]) ).

fof(f344,plain,
    ( spl0_41
  <=> e13 = j(e22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f413,plain,
    ( e22 = h(e13)
    | ~ spl0_41 ),
    inference(forward_demodulation,[],[f109,f346]) ).

fof(f346,plain,
    ( e13 = j(e22)
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f344]) ).

fof(f109,plain,
    e22 = h(j(e22)),
    inference(cnf_transformation,[],[f9]) ).

fof(f2744,plain,
    ( spl0_41
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f1367,f272,f344]) ).

fof(f1367,plain,
    ( e13 = j(e22)
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f133,f274]) ).

fof(f133,plain,
    e13 = j(h(e13)),
    inference(cnf_transformation,[],[f9]) ).

fof(f2669,plain,
    ( ~ spl0_46
    | ~ spl0_48 ),
    inference(avatar_contradiction_clause,[],[f2668]) ).

fof(f2668,plain,
    ( $false
    | ~ spl0_46
    | ~ spl0_48 ),
    inference(subsumption_resolution,[],[f2667,f17]) ).

fof(f17,plain,
    e12 != e13,
    inference(cnf_transformation,[],[f1]) ).

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

fof(f2667,plain,
    ( e12 = e13
    | ~ spl0_46
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f375,f367]) ).

fof(f367,plain,
    ( e12 = j(e24)
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f365]) ).

fof(f365,plain,
    ( spl0_46
  <=> e12 = j(e24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f375,plain,
    ( e13 = j(e24)
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f373]) ).

fof(f373,plain,
    ( spl0_48
  <=> e13 = j(e24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f2662,plain,
    ( ~ spl0_17
    | ~ spl0_36
    | ~ spl0_45 ),
    inference(avatar_contradiction_clause,[],[f2661]) ).

fof(f2661,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_36
    | ~ spl0_45 ),
    inference(subsumption_resolution,[],[f2660,f19]) ).

fof(f19,plain,
    e10 != e14,
    inference(cnf_transformation,[],[f1]) ).

fof(f2660,plain,
    ( e10 = e14
    | ~ spl0_17
    | ~ spl0_36
    | ~ spl0_45 ),
    inference(forward_demodulation,[],[f2659,f32]) ).

fof(f32,plain,
    e10 = op1(e11,e13),
    inference(cnf_transformation,[],[f4]) ).

fof(f2659,plain,
    ( e14 = op1(e11,e13)
    | ~ spl0_17
    | ~ spl0_36
    | ~ spl0_45 ),
    inference(forward_demodulation,[],[f2658,f362]) ).

fof(f362,plain,
    ( e14 = j(e22)
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f360]) ).

fof(f360,plain,
    ( spl0_45
  <=> e14 = j(e22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f2658,plain,
    ( op1(e11,e13) = j(e22)
    | ~ spl0_17
    | ~ spl0_36 ),
    inference(forward_demodulation,[],[f2657,f245]) ).

fof(f245,plain,
    ( e11 = j(e21)
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f243]) ).

fof(f243,plain,
    ( spl0_17
  <=> e11 = j(e21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f2657,plain,
    ( j(e22) = op1(j(e21),e13)
    | ~ spl0_36 ),
    inference(forward_demodulation,[],[f1215,f325]) ).

fof(f325,plain,
    ( e13 = j(e23)
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f323]) ).

fof(f323,plain,
    ( spl0_36
  <=> e13 = j(e23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f1215,plain,
    j(e22) = op1(j(e21),j(e23)),
    inference(forward_demodulation,[],[f72,f163]) ).

fof(f163,plain,
    e22 = op2(e21,e23),
    inference(cnf_transformation,[],[f5]) ).

fof(f72,plain,
    j(op2(e21,e23)) = op1(j(e21),j(e23)),
    inference(cnf_transformation,[],[f9]) ).

fof(f2628,plain,
    ( spl0_14
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f1186,f365,f230]) ).

fof(f230,plain,
    ( spl0_14
  <=> e24 = h(e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f1186,plain,
    ( e24 = h(e12)
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f111,f367]) ).

fof(f2623,plain,
    ( spl0_46
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f1696,f230,f365]) ).

fof(f1696,plain,
    ( e12 = j(e24)
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f136,f232]) ).

fof(f232,plain,
    ( e24 = h(e12)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f230]) ).

fof(f136,plain,
    e12 = j(h(e12)),
    inference(cnf_transformation,[],[f9]) ).

fof(f2621,plain,
    ( spl0_32
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f575,f243,f306]) ).

fof(f306,plain,
    ( spl0_32
  <=> e21 = h(e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f575,plain,
    ( e21 = h(e11)
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f116,f245]) ).

fof(f2615,plain,
    ( ~ spl0_3
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2614]) ).

fof(f2614,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2613,f140]) ).

fof(f2613,plain,
    ( e20 = e22
    | ~ spl0_3
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2612,f161]) ).

fof(f2612,plain,
    ( e22 = op2(e21,e21)
    | ~ spl0_3
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2611,f186]) ).

fof(f186,plain,
    ( e22 = h(e14)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f184]) ).

fof(f184,plain,
    ( spl0_3
  <=> e22 = h(e14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f2545,plain,
    ( spl0_25
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f475,f323,f276]) ).

fof(f276,plain,
    ( spl0_25
  <=> e23 = h(e13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f475,plain,
    ( e23 = h(e13)
    | ~ spl0_36 ),
    inference(forward_demodulation,[],[f78,f325]) ).

fof(f2533,plain,
    ( spl0_3
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f1692,f360,f184]) ).

fof(f1692,plain,
    ( e22 = h(e14)
    | ~ spl0_45 ),
    inference(forward_demodulation,[],[f109,f362]) ).

fof(f2527,plain,
    ( spl0_45
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f555,f184,f360]) ).

fof(f555,plain,
    ( e14 = j(e22)
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f106,f186]) ).

fof(f2519,plain,
    ( spl0_36
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f630,f276,f323]) ).

fof(f630,plain,
    ( e13 = j(e23)
    | ~ spl0_25 ),
    inference(forward_demodulation,[],[f133,f278]) ).

fof(f278,plain,
    ( e23 = h(e13)
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f276]) ).

fof(f2514,plain,
    ( spl0_22
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f983,f297,f264]) ).

fof(f264,plain,
    ( spl0_22
  <=> e20 = h(e13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f297,plain,
    ( spl0_30
  <=> e13 = j(e20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f983,plain,
    ( e20 = h(e13)
    | ~ spl0_30 ),
    inference(forward_demodulation,[],[f135,f299]) ).

fof(f299,plain,
    ( e13 = j(e20)
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f297]) ).

fof(f2513,plain,
    ( ~ spl0_32
    | ~ spl0_47 ),
    inference(avatar_contradiction_clause,[],[f2512]) ).

fof(f2512,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_47 ),
    inference(subsumption_resolution,[],[f2511,f146]) ).

fof(f146,plain,
    e21 != e24,
    inference(cnf_transformation,[],[f2]) ).

fof(f2511,plain,
    ( e21 = e24
    | ~ spl0_32
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f2071,f308]) ).

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

fof(f2506,plain,
    ( spl0_30
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f982,f264,f297]) ).

fof(f982,plain,
    ( e13 = j(e20)
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f133,f266]) ).

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

fof(f2502,plain,
    ( spl0_22
    | ~ spl0_5
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f2501,f234,f192,f264]) ).

fof(f234,plain,
    ( spl0_15
  <=> e22 = h(e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f2501,plain,
    ( e20 = h(e13)
    | ~ spl0_5
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2475,f169]) ).

fof(f2475,plain,
    ( op2(e22,e23) = h(e13)
    | ~ spl0_5
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2474,f35]) ).

fof(f35,plain,
    e13 = op1(e12,e14),
    inference(cnf_transformation,[],[f4]) ).

fof(f2474,plain,
    ( op2(e22,e23) = h(op1(e12,e14))
    | ~ spl0_5
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2473,f236]) ).

fof(f236,plain,
    ( e22 = h(e12)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f234]) ).

fof(f2473,plain,
    ( h(op1(e12,e14)) = op2(h(e12),e23)
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f80,f194]) ).

fof(f80,plain,
    h(op1(e12,e14)) = op2(h(e12),h(e14)),
    inference(cnf_transformation,[],[f9]) ).

fof(f2401,plain,
    ( spl0_42
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f2028,f234,f348]) ).

fof(f348,plain,
    ( spl0_42
  <=> e12 = j(e22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f2028,plain,
    ( e12 = j(e22)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f136,f236]) ).

fof(f2380,plain,
    ( spl0_15
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f2024,f348,f234]) ).

fof(f2024,plain,
    ( e22 = h(e12)
    | ~ spl0_42 ),
    inference(forward_demodulation,[],[f109,f350]) ).

fof(f350,plain,
    ( e12 = j(e22)
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f348]) ).

fof(f2364,plain,
    ( spl0_48
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f1077,f260,f373]) ).

fof(f260,plain,
    ( spl0_21
  <=> e24 = h(e13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f1077,plain,
    ( e13 = j(e24)
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f133,f262]) ).

fof(f262,plain,
    ( e24 = h(e13)
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f2292,plain,
    ( spl0_50
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f1768,f188,f381]) ).

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

fof(f188,plain,
    ( spl0_4
  <=> e24 = h(e14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f1768,plain,
    ( e14 = j(e24)
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f106,f190]) ).

fof(f190,plain,
    ( e24 = h(e14)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f188]) ).

fof(f2283,plain,
    ( spl0_4
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f792,f381,f188]) ).

fof(f792,plain,
    ( e24 = h(e14)
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f111,f383]) ).

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

fof(f2282,plain,
    ( ~ spl0_4
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2281]) ).

fof(f2281,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2280,f147]) ).

fof(f147,plain,
    e20 != e24,
    inference(cnf_transformation,[],[f2]) ).

fof(f2280,plain,
    ( e20 = e24
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2279,f161]) ).

fof(f2279,plain,
    ( e24 = op2(e21,e21)
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1888,f228]) ).

fof(f1888,plain,
    ( e24 = op2(h(e12),h(e12))
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1164,f190]) ).

fof(f2265,plain,
    ( ~ spl0_27
    | ~ spl0_48 ),
    inference(avatar_contradiction_clause,[],[f2264]) ).

fof(f2264,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_48 ),
    inference(subsumption_resolution,[],[f2263,f17]) ).

fof(f2263,plain,
    ( e12 = e13
    | ~ spl0_27
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2262,f41]) ).

fof(f41,plain,
    e12 = op1(e14,e13),
    inference(cnf_transformation,[],[f4]) ).

fof(f2262,plain,
    ( e13 = op1(e14,e13)
    | ~ spl0_27
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f2261,f375]) ).

fof(f2261,plain,
    ( op1(e14,e13) = j(e24)
    | ~ spl0_27
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f1217,f287]) ).

fof(f1217,plain,
    ( j(e24) = op1(j(e20),e13)
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f1088,f172]) ).

fof(f172,plain,
    e24 = op2(e20,e24),
    inference(cnf_transformation,[],[f5]) ).

fof(f1088,plain,
    ( j(op2(e20,e24)) = op1(j(e20),e13)
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f73,f375]) ).

fof(f73,plain,
    j(op2(e20,e24)) = op1(j(e20),j(e24)),
    inference(cnf_transformation,[],[f9]) ).

fof(f2211,plain,
    ( spl0_35
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f1910,f335,f318]) ).

fof(f318,plain,
    ( spl0_35
  <=> e23 = h(e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f335,plain,
    ( spl0_39
  <=> e11 = j(e23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f1910,plain,
    ( e23 = h(e11)
    | ~ spl0_39 ),
    inference(forward_demodulation,[],[f78,f337]) ).

fof(f337,plain,
    ( e11 = j(e23)
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f335]) ).

fof(f2193,plain,
    ( ~ spl0_9
    | ~ spl0_25 ),
    inference(avatar_contradiction_clause,[],[f2192]) ).

fof(f2192,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_25 ),
    inference(subsumption_resolution,[],[f2191,f144]) ).

fof(f144,plain,
    e21 != e23,
    inference(cnf_transformation,[],[f2]) ).

fof(f2191,plain,
    ( e21 = e23
    | ~ spl0_9
    | ~ spl0_25 ),
    inference(forward_demodulation,[],[f2190,f159]) ).

fof(f159,plain,
    e21 = op2(e23,e22),
    inference(cnf_transformation,[],[f5]) ).

fof(f2190,plain,
    ( e23 = op2(e23,e22)
    | ~ spl0_9
    | ~ spl0_25 ),
    inference(forward_demodulation,[],[f667,f211]) ).

fof(f211,plain,
    ( e22 = h(e10)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f209]) ).

fof(f209,plain,
    ( spl0_9
  <=> e22 = h(e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f667,plain,
    ( e23 = op2(e23,h(e10))
    | ~ spl0_25 ),
    inference(forward_demodulation,[],[f666,f278]) ).

fof(f666,plain,
    ( h(e13) = op2(e23,h(e10))
    | ~ spl0_25 ),
    inference(forward_demodulation,[],[f665,f44]) ).

fof(f665,plain,
    ( h(op1(e13,e10)) = op2(e23,h(e10))
    | ~ spl0_25 ),
    inference(forward_demodulation,[],[f70,f278]) ).

fof(f2163,plain,
    ( spl0_28
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f1913,f218,f289]) ).

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

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

fof(f1913,plain,
    ( e12 = j(e20)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f136,f220]) ).

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

fof(f2152,plain,
    ( spl0_9
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f498,f356,f209]) ).

fof(f356,plain,
    ( spl0_44
  <=> e10 = j(e22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f498,plain,
    ( e22 = h(e10)
    | ~ spl0_44 ),
    inference(forward_demodulation,[],[f109,f358]) ).

fof(f358,plain,
    ( e10 = j(e22)
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f356]) ).

fof(f2145,plain,
    ( spl0_1
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f1929,f218,f176]) ).

fof(f1929,plain,
    ( e20 = h(e14)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1928,f156]) ).

fof(f156,plain,
    e20 = op2(e20,e20),
    inference(cnf_transformation,[],[f5]) ).

fof(f1928,plain,
    ( op2(e20,e20) = h(e14)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1164,f220]) ).

fof(f2099,plain,
    ( ~ spl0_30
    | ~ spl0_46 ),
    inference(avatar_contradiction_clause,[],[f2098]) ).

fof(f2098,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_46 ),
    inference(subsumption_resolution,[],[f2097,f12]) ).

fof(f12,plain,
    e10 != e12,
    inference(cnf_transformation,[],[f1]) ).

fof(f2097,plain,
    ( e10 = e12
    | ~ spl0_30
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f2096,f30]) ).

fof(f30,plain,
    e10 = op1(e13,e12),
    inference(cnf_transformation,[],[f4]) ).

fof(f2096,plain,
    ( e12 = op1(e13,e12)
    | ~ spl0_30
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1212,f299]) ).

fof(f1212,plain,
    ( e12 = op1(j(e20),e12)
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1211,f367]) ).

fof(f1211,plain,
    ( j(e24) = op1(j(e20),e12)
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f1210,f172]) ).

fof(f1210,plain,
    ( j(op2(e20,e24)) = op1(j(e20),e12)
    | ~ spl0_46 ),
    inference(forward_demodulation,[],[f73,f367]) ).

fof(f2086,plain,
    ( spl0_3
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f1204,f230,f184]) ).

fof(f1204,plain,
    ( e22 = h(e14)
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1193,f154]) ).

fof(f154,plain,
    e22 = op2(e24,e24),
    inference(cnf_transformation,[],[f5]) ).

fof(f1193,plain,
    ( op2(e24,e24) = h(e14)
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1164,f232]) ).

fof(f2078,plain,
    ( ~ spl0_18
    | ~ spl0_40
    | ~ spl0_42 ),
    inference(avatar_contradiction_clause,[],[f2077]) ).

fof(f2077,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_40
    | ~ spl0_42 ),
    inference(subsumption_resolution,[],[f2076,f14]) ).

fof(f14,plain,
    e12 != e14,
    inference(cnf_transformation,[],[f1]) ).

fof(f2076,plain,
    ( e12 = e14
    | ~ spl0_18
    | ~ spl0_40
    | ~ spl0_42 ),
    inference(backward_demodulation,[],[f42,f2075]) ).

fof(f2075,plain,
    ( e12 = op1(e10,e14)
    | ~ spl0_18
    | ~ spl0_40
    | ~ spl0_42 ),
    inference(forward_demodulation,[],[f2074,f350]) ).

fof(f2074,plain,
    ( op1(e10,e14) = j(e22)
    | ~ spl0_18
    | ~ spl0_40 ),
    inference(forward_demodulation,[],[f1889,f341]) ).

fof(f1889,plain,
    ( j(e22) = op1(e10,j(e23))
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1215,f249]) ).

fof(f249,plain,
    ( e10 = j(e21)
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f247]) ).

fof(f247,plain,
    ( spl0_18
  <=> e10 = j(e21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f42,plain,
    e14 = op1(e10,e14),
    inference(cnf_transformation,[],[f4]) ).

fof(f1987,plain,
    ( spl0_5
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f1637,f234,f192]) ).

fof(f1637,plain,
    ( e23 = h(e14)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1591,f165]) ).

fof(f165,plain,
    e23 = op2(e22,e22),
    inference(cnf_transformation,[],[f5]) ).

fof(f1591,plain,
    ( op2(e22,e22) = h(e14)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1164,f236]) ).

fof(f1954,plain,
    ( ~ spl0_3
    | ~ spl0_41 ),
    inference(avatar_contradiction_clause,[],[f1953]) ).

fof(f1953,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_41 ),
    inference(subsumption_resolution,[],[f1952,f11]) ).

fof(f11,plain,
    e13 != e14,
    inference(cnf_transformation,[],[f1]) ).

fof(f1952,plain,
    ( e13 = e14
    | ~ spl0_3
    | ~ spl0_41 ),
    inference(forward_demodulation,[],[f555,f346]) ).

fof(f1917,plain,
    ( ~ spl0_28
    | ~ spl0_50 ),
    inference(avatar_contradiction_clause,[],[f1916]) ).

fof(f1916,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_50 ),
    inference(subsumption_resolution,[],[f1915,f11]) ).

fof(f1915,plain,
    ( e13 = e14
    | ~ spl0_28
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1914,f35]) ).

fof(f1914,plain,
    ( e14 = op1(e12,e14)
    | ~ spl0_28
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1789,f291]) ).

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

fof(f1789,plain,
    ( e14 = op1(j(e20),e14)
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1222,f383]) ).

fof(f1222,plain,
    j(e24) = op1(j(e20),j(e24)),
    inference(forward_demodulation,[],[f73,f172]) ).

fof(f1877,plain,
    ( ~ spl0_29
    | ~ spl0_50 ),
    inference(avatar_contradiction_clause,[],[f1876]) ).

fof(f1876,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_50 ),
    inference(subsumption_resolution,[],[f1875,f14]) ).

fof(f1875,plain,
    ( e12 = e14
    | ~ spl0_29
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1874,f39]) ).

fof(f39,plain,
    e12 = op1(e11,e14),
    inference(cnf_transformation,[],[f4]) ).

fof(f1874,plain,
    ( e14 = op1(e11,e14)
    | ~ spl0_29
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1789,f295]) ).

fof(f295,plain,
    ( e11 = j(e20)
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f293]) ).

fof(f293,plain,
    ( spl0_29
  <=> e11 = j(e20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f1851,plain,
    ( ~ spl0_22
    | ~ spl0_24 ),
    inference(avatar_contradiction_clause,[],[f1850]) ).

fof(f1850,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_24 ),
    inference(subsumption_resolution,[],[f1849,f140]) ).

fof(f1849,plain,
    ( e20 = e22
    | ~ spl0_22
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f274,f266]) ).

fof(f1834,plain,
    ( ~ spl0_7
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1833]) ).

fof(f1833,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f1832,f143]) ).

fof(f143,plain,
    e21 != e22,
    inference(cnf_transformation,[],[f2]) ).

fof(f1832,plain,
    ( e21 = e22
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f211,f203]) ).

fof(f203,plain,
    ( e21 = h(e10)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f201]) ).

fof(f201,plain,
    ( spl0_7
  <=> e21 = h(e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f1818,plain,
    ( spl0_7
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f760,f247,f201]) ).

fof(f760,plain,
    ( e21 = h(e10)
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f116,f249]) ).

fof(f1811,plain,
    ( spl0_41
    | ~ spl0_17
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f1810,f331,f243,f344]) ).

fof(f331,plain,
    ( spl0_38
  <=> e12 = j(e23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f1810,plain,
    ( e13 = j(e22)
    | ~ spl0_17
    | ~ spl0_38 ),
    inference(forward_demodulation,[],[f1787,f26]) ).

fof(f26,plain,
    e13 = op1(e11,e12),
    inference(cnf_transformation,[],[f4]) ).

fof(f1787,plain,
    ( op1(e11,e12) = j(e22)
    | ~ spl0_17
    | ~ spl0_38 ),
    inference(forward_demodulation,[],[f1786,f245]) ).

fof(f1786,plain,
    ( j(e22) = op1(j(e21),e12)
    | ~ spl0_38 ),
    inference(forward_demodulation,[],[f1215,f333]) ).

fof(f333,plain,
    ( e12 = j(e23)
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f331]) ).

fof(f1798,plain,
    ( ~ spl0_17
    | ~ spl0_41
    | ~ spl0_50 ),
    inference(avatar_contradiction_clause,[],[f1797]) ).

fof(f1797,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_41
    | ~ spl0_50 ),
    inference(subsumption_resolution,[],[f1796,f19]) ).

fof(f1796,plain,
    ( e10 = e14
    | ~ spl0_17
    | ~ spl0_41
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1795,f32]) ).

fof(f1795,plain,
    ( e14 = op1(e11,e13)
    | ~ spl0_17
    | ~ spl0_41
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1794,f383]) ).

fof(f1794,plain,
    ( op1(e11,e13) = j(e24)
    | ~ spl0_17
    | ~ spl0_41 ),
    inference(forward_demodulation,[],[f1793,f245]) ).

fof(f1793,plain,
    ( j(e24) = op1(j(e21),e13)
    | ~ spl0_41 ),
    inference(forward_demodulation,[],[f1297,f346]) ).

fof(f1297,plain,
    j(e24) = op1(j(e21),j(e22)),
    inference(forward_demodulation,[],[f71,f160]) ).

fof(f160,plain,
    e24 = op2(e21,e22),
    inference(cnf_transformation,[],[f5]) ).

fof(f71,plain,
    j(op2(e21,e22)) = op1(j(e21),j(e22)),
    inference(cnf_transformation,[],[f9]) ).

fof(f1723,plain,
    ( spl0_12
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f867,f331,f222]) ).

fof(f222,plain,
    ( spl0_12
  <=> e23 = h(e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f867,plain,
    ( e23 = h(e12)
    | ~ spl0_38 ),
    inference(forward_demodulation,[],[f78,f333]) ).

fof(f1717,plain,
    ( spl0_38
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f1079,f222,f331]) ).

fof(f1079,plain,
    ( e12 = j(e23)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f136,f224]) ).

fof(f224,plain,
    ( e23 = h(e12)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f222]) ).

fof(f1704,plain,
    ( spl0_4
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f1404,f222,f188]) ).

fof(f1404,plain,
    ( e24 = h(e14)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1097,f157]) ).

fof(f157,plain,
    e24 = op2(e23,e23),
    inference(cnf_transformation,[],[f5]) ).

fof(f1097,plain,
    ( op2(e23,e23) = h(e14)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1096,f25]) ).

fof(f1096,plain,
    ( op2(e23,e23) = h(op1(e12,e12))
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f75,f224]) ).

fof(f1700,plain,
    ( ~ spl0_8
    | ~ spl0_23 ),
    inference(avatar_contradiction_clause,[],[f1699]) ).

fof(f1699,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_23 ),
    inference(subsumption_resolution,[],[f1698,f143]) ).

fof(f1698,plain,
    ( e21 = e22
    | ~ spl0_8
    | ~ spl0_23 ),
    inference(backward_demodulation,[],[f163,f1697]) ).

fof(f1697,plain,
    ( e21 = op2(e21,e23)
    | ~ spl0_8
    | ~ spl0_23 ),
    inference(forward_demodulation,[],[f1198,f207]) ).

fof(f1198,plain,
    ( e21 = op2(e21,h(e10))
    | ~ spl0_23 ),
    inference(forward_demodulation,[],[f826,f270]) ).

fof(f270,plain,
    ( e21 = h(e13)
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f268]) ).

fof(f268,plain,
    ( spl0_23
  <=> e21 = h(e13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f1628,plain,
    ( ~ spl0_23
    | ~ spl0_41 ),
    inference(avatar_contradiction_clause,[],[f1627]) ).

fof(f1627,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_41 ),
    inference(subsumption_resolution,[],[f1626,f143]) ).

fof(f1626,plain,
    ( e21 = e22
    | ~ spl0_23
    | ~ spl0_41 ),
    inference(forward_demodulation,[],[f1363,f270]) ).

fof(f1363,plain,
    ( e22 = h(e13)
    | ~ spl0_41 ),
    inference(forward_demodulation,[],[f109,f346]) ).

fof(f1614,plain,
    ( spl0_42
    | ~ spl0_20
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f1613,f335,f255,f348]) ).

fof(f255,plain,
    ( spl0_20
  <=> e13 = j(e21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f1613,plain,
    ( e12 = j(e22)
    | ~ spl0_20
    | ~ spl0_39 ),
    inference(forward_demodulation,[],[f1587,f38]) ).

fof(f38,plain,
    e12 = op1(e13,e11),
    inference(cnf_transformation,[],[f4]) ).

fof(f1587,plain,
    ( op1(e13,e11) = j(e22)
    | ~ spl0_20
    | ~ spl0_39 ),
    inference(forward_demodulation,[],[f1162,f337]) ).

fof(f1162,plain,
    ( j(e22) = op1(e13,j(e23))
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f1161,f163]) ).

fof(f1161,plain,
    ( j(op2(e21,e23)) = op1(e13,j(e23))
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f72,f257]) ).

fof(f257,plain,
    ( e13 = j(e21)
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f255]) ).

fof(f1595,plain,
    ( ~ spl0_4
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1594]) ).

fof(f1594,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f1593,f141]) ).

fof(f141,plain,
    e23 != e24,
    inference(cnf_transformation,[],[f2]) ).

fof(f1593,plain,
    ( e23 = e24
    | ~ spl0_4
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1592,f165]) ).

fof(f1592,plain,
    ( e24 = op2(e22,e22)
    | ~ spl0_4
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1591,f190]) ).

fof(f1558,plain,
    ( ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f1557]) ).

fof(f1557,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f1554,f149]) ).

fof(f149,plain,
    e22 != e24,
    inference(cnf_transformation,[],[f2]) ).

fof(f1554,plain,
    ( e22 = e24
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(backward_demodulation,[],[f190,f186]) ).

fof(f1542,plain,
    ( ~ spl0_9
    | ~ spl0_23 ),
    inference(avatar_contradiction_clause,[],[f1541]) ).

fof(f1541,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_23 ),
    inference(subsumption_resolution,[],[f1540,f146]) ).

fof(f1540,plain,
    ( e21 = e24
    | ~ spl0_9
    | ~ spl0_23 ),
    inference(backward_demodulation,[],[f160,f1539]) ).

fof(f1539,plain,
    ( e21 = op2(e21,e22)
    | ~ spl0_9
    | ~ spl0_23 ),
    inference(forward_demodulation,[],[f1198,f211]) ).

fof(f1491,plain,
    ( ~ spl0_1
    | ~ spl0_50 ),
    inference(avatar_contradiction_clause,[],[f1490]) ).

fof(f1490,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_50 ),
    inference(subsumption_resolution,[],[f1489,f147]) ).

fof(f1489,plain,
    ( e20 = e24
    | ~ spl0_1
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1129,f178]) ).

fof(f1129,plain,
    ( e24 = h(e14)
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f111,f383]) ).

fof(f1481,plain,
    ( ~ spl0_10
    | ~ spl0_23 ),
    inference(avatar_contradiction_clause,[],[f1480]) ).

fof(f1480,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_23 ),
    inference(subsumption_resolution,[],[f1479,f144]) ).

fof(f1479,plain,
    ( e21 = e23
    | ~ spl0_10
    | ~ spl0_23 ),
    inference(backward_demodulation,[],[f155,f1385]) ).

fof(f1385,plain,
    ( e21 = op2(e21,e24)
    | ~ spl0_10
    | ~ spl0_23 ),
    inference(forward_demodulation,[],[f1198,f215]) ).

fof(f215,plain,
    ( e24 = h(e10)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f213]) ).

fof(f213,plain,
    ( spl0_10
  <=> e24 = h(e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f155,plain,
    e23 = op2(e21,e24),
    inference(cnf_transformation,[],[f5]) ).

fof(f1428,plain,
    ( ~ spl0_1
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f1427]) ).

fof(f1427,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f1426,f140]) ).

fof(f1426,plain,
    ( e20 = e22
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f186,f178]) ).

fof(f1397,plain,
    ( spl0_20
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f1012,f268,f255]) ).

fof(f1012,plain,
    ( e13 = j(e21)
    | ~ spl0_23 ),
    inference(forward_demodulation,[],[f133,f270]) ).

fof(f1389,plain,
    ( ~ spl0_20
    | ~ spl0_40
    | spl0_43 ),
    inference(avatar_contradiction_clause,[],[f1388]) ).

fof(f1388,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_40
    | spl0_43 ),
    inference(subsumption_resolution,[],[f1387,f353]) ).

fof(f353,plain,
    ( e11 != j(e22)
    | spl0_43 ),
    inference(avatar_component_clause,[],[f352]) ).

fof(f352,plain,
    ( spl0_43
  <=> e11 = j(e22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f1387,plain,
    ( e11 = j(e22)
    | ~ spl0_20
    | ~ spl0_40 ),
    inference(forward_demodulation,[],[f1386,f20]) ).

fof(f20,plain,
    e11 = op1(e13,e14),
    inference(cnf_transformation,[],[f4]) ).

fof(f1386,plain,
    ( op1(e13,e14) = j(e22)
    | ~ spl0_20
    | ~ spl0_40 ),
    inference(forward_demodulation,[],[f1162,f341]) ).

fof(f1382,plain,
    ( spl0_23
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f1011,f255,f268]) ).

fof(f1011,plain,
    ( e21 = h(e13)
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f116,f257]) ).

fof(f1373,plain,
    ( ~ spl0_10
    | ~ spl0_24 ),
    inference(avatar_contradiction_clause,[],[f1372]) ).

fof(f1372,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_24 ),
    inference(subsumption_resolution,[],[f1371,f143]) ).

fof(f1371,plain,
    ( e21 = e22
    | ~ spl0_10
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f1370,f171]) ).

fof(f171,plain,
    e21 = op2(e22,e24),
    inference(cnf_transformation,[],[f5]) ).

fof(f1370,plain,
    ( e22 = op2(e22,e24)
    | ~ spl0_10
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f892,f274]) ).

fof(f892,plain,
    ( h(e13) = op2(h(e13),e24)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f658,f44]) ).

fof(f658,plain,
    ( h(op1(e13,e10)) = op2(h(e13),e24)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f70,f215]) ).

fof(f1302,plain,
    ( spl0_10
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f568,f377,f213]) ).

fof(f377,plain,
    ( spl0_49
  <=> e10 = j(e24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f568,plain,
    ( e24 = h(e10)
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f111,f379]) ).

fof(f379,plain,
    ( e10 = j(e24)
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f1224,plain,
    ( spl0_2
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f628,f251,f180]) ).

fof(f180,plain,
    ( spl0_2
  <=> e21 = h(e14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f251,plain,
    ( spl0_19
  <=> e14 = j(e21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f628,plain,
    ( e21 = h(e14)
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f116,f253]) ).

fof(f253,plain,
    ( e14 = j(e21)
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f1197,plain,
    ( ~ spl0_5
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1196]) ).

fof(f1196,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f1195,f148]) ).

fof(f148,plain,
    e22 != e23,
    inference(cnf_transformation,[],[f2]) ).

fof(f1195,plain,
    ( e22 = e23
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1194,f154]) ).

fof(f1194,plain,
    ( e23 = op2(e24,e24)
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1193,f194]) ).

fof(f1135,plain,
    ( ~ spl0_20
    | ~ spl0_43
    | ~ spl0_50 ),
    inference(avatar_contradiction_clause,[],[f1134]) ).

fof(f1134,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_43
    | ~ spl0_50 ),
    inference(subsumption_resolution,[],[f1133,f14]) ).

fof(f1133,plain,
    ( e12 = e14
    | ~ spl0_20
    | ~ spl0_43
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f1132,f38]) ).

fof(f1132,plain,
    ( e14 = op1(e13,e11)
    | ~ spl0_20
    | ~ spl0_43
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f825,f257]) ).

fof(f825,plain,
    ( e14 = op1(j(e21),e11)
    | ~ spl0_43
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f703,f383]) ).

fof(f703,plain,
    ( j(e24) = op1(j(e21),e11)
    | ~ spl0_43 ),
    inference(forward_demodulation,[],[f696,f160]) ).

fof(f696,plain,
    ( j(op2(e21,e22)) = op1(j(e21),e11)
    | ~ spl0_43 ),
    inference(forward_demodulation,[],[f71,f354]) ).

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

fof(f990,plain,
    ( ~ spl0_10
    | ~ spl0_22 ),
    inference(avatar_contradiction_clause,[],[f989]) ).

fof(f989,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_22 ),
    inference(subsumption_resolution,[],[f988,f147]) ).

fof(f988,plain,
    ( e20 = e24
    | ~ spl0_10
    | ~ spl0_22 ),
    inference(backward_demodulation,[],[f172,f987]) ).

fof(f987,plain,
    ( e20 = op2(e20,e24)
    | ~ spl0_10
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f892,f266]) ).

fof(f926,plain,
    ( ~ spl0_1
    | ~ spl0_40 ),
    inference(avatar_contradiction_clause,[],[f925]) ).

fof(f925,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_40 ),
    inference(subsumption_resolution,[],[f924,f142]) ).

fof(f142,plain,
    e20 != e23,
    inference(cnf_transformation,[],[f2]) ).

fof(f924,plain,
    ( e20 = e23
    | ~ spl0_1
    | ~ spl0_40 ),
    inference(forward_demodulation,[],[f463,f178]) ).

fof(f463,plain,
    ( e23 = h(e14)
    | ~ spl0_40 ),
    inference(forward_demodulation,[],[f78,f341]) ).

fof(f891,plain,
    ( ~ spl0_22
    | ~ spl0_48 ),
    inference(avatar_contradiction_clause,[],[f890]) ).

fof(f890,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_48 ),
    inference(subsumption_resolution,[],[f889,f147]) ).

fof(f889,plain,
    ( e20 = e24
    | ~ spl0_22
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f523,f266]) ).

fof(f523,plain,
    ( e24 = h(e13)
    | ~ spl0_48 ),
    inference(forward_demodulation,[],[f111,f375]) ).

fof(f883,plain,
    ( ~ spl0_18
    | ~ spl0_43
    | ~ spl0_50 ),
    inference(avatar_contradiction_clause,[],[f882]) ).

fof(f882,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_43
    | ~ spl0_50 ),
    inference(subsumption_resolution,[],[f881,f13]) ).

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

fof(f881,plain,
    ( e11 = e14
    | ~ spl0_18
    | ~ spl0_43
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f880,f22]) ).

fof(f22,plain,
    e11 = op1(e10,e11),
    inference(cnf_transformation,[],[f4]) ).

fof(f880,plain,
    ( e14 = op1(e10,e11)
    | ~ spl0_18
    | ~ spl0_43
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f825,f249]) ).

fof(f766,plain,
    ( ~ spl0_7
    | ~ spl0_25 ),
    inference(avatar_contradiction_clause,[],[f765]) ).

fof(f765,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_25 ),
    inference(subsumption_resolution,[],[f764,f148]) ).

fof(f764,plain,
    ( e22 = e23
    | ~ spl0_7
    | ~ spl0_25 ),
    inference(forward_demodulation,[],[f763,f168]) ).

fof(f168,plain,
    e22 = op2(e23,e21),
    inference(cnf_transformation,[],[f5]) ).

fof(f763,plain,
    ( e23 = op2(e23,e21)
    | ~ spl0_7
    | ~ spl0_25 ),
    inference(forward_demodulation,[],[f667,f203]) ).

fof(f745,plain,
    ( ~ spl0_1
    | ~ spl0_30 ),
    inference(avatar_contradiction_clause,[],[f744]) ).

fof(f744,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_30 ),
    inference(subsumption_resolution,[],[f743,f11]) ).

fof(f743,plain,
    ( e13 = e14
    | ~ spl0_1
    | ~ spl0_30 ),
    inference(forward_demodulation,[],[f561,f299]) ).

fof(f561,plain,
    ( e14 = j(e20)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f106,f178]) ).

fof(f742,plain,
    ( ~ spl0_5
    | ~ spl0_36 ),
    inference(avatar_contradiction_clause,[],[f741]) ).

fof(f741,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_36 ),
    inference(subsumption_resolution,[],[f740,f11]) ).

fof(f740,plain,
    ( e13 = e14
    | ~ spl0_5
    | ~ spl0_36 ),
    inference(forward_demodulation,[],[f739,f325]) ).

fof(f739,plain,
    ( e14 = j(e23)
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f106,f194]) ).

fof(f724,plain,
    ( ~ spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f723]) ).

fof(f723,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f720,f146]) ).

fof(f720,plain,
    ( e21 = e24
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(backward_demodulation,[],[f232,f228]) ).

fof(f707,plain,
    ( ~ spl0_6
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f706]) ).

fof(f706,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f705,f145]) ).

fof(f145,plain,
    e20 != e21,
    inference(cnf_transformation,[],[f2]) ).

fof(f705,plain,
    ( e20 = e21
    | ~ spl0_6
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f587,f199]) ).

fof(f199,plain,
    ( e20 = h(e10)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f197]) ).

fof(f587,plain,
    ( e21 = h(e10)
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f116,f249]) ).

fof(f664,plain,
    ( ~ spl0_10
    | ~ spl0_25 ),
    inference(avatar_contradiction_clause,[],[f663]) ).

fof(f663,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_25 ),
    inference(subsumption_resolution,[],[f662,f142]) ).

fof(f662,plain,
    ( e20 = e23
    | ~ spl0_10
    | ~ spl0_25 ),
    inference(forward_demodulation,[],[f661,f173]) ).

fof(f173,plain,
    e20 = op2(e23,e24),
    inference(cnf_transformation,[],[f5]) ).

fof(f661,plain,
    ( e23 = op2(e23,e24)
    | ~ spl0_10
    | ~ spl0_25 ),
    inference(forward_demodulation,[],[f660,f278]) ).

fof(f660,plain,
    ( op2(e23,e24) = h(e13)
    | ~ spl0_10
    | ~ spl0_25 ),
    inference(forward_demodulation,[],[f659,f44]) ).

fof(f659,plain,
    ( op2(e23,e24) = h(op1(e13,e10))
    | ~ spl0_10
    | ~ spl0_25 ),
    inference(forward_demodulation,[],[f658,f278]) ).

fof(f599,plain,
    ( ~ spl0_23
    | ~ spl0_25 ),
    inference(avatar_contradiction_clause,[],[f598]) ).

fof(f598,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_25 ),
    inference(subsumption_resolution,[],[f596,f144]) ).

fof(f596,plain,
    ( e21 = e23
    | ~ spl0_23
    | ~ spl0_25 ),
    inference(backward_demodulation,[],[f278,f270]) ).

fof(f541,plain,
    ( ~ spl0_2
    | ~ spl0_50 ),
    inference(avatar_contradiction_clause,[],[f540]) ).

fof(f540,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_50 ),
    inference(subsumption_resolution,[],[f539,f146]) ).

fof(f539,plain,
    ( e21 = e24
    | ~ spl0_2
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f538,f182]) ).

fof(f182,plain,
    ( e21 = h(e14)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f180]) ).

fof(f538,plain,
    ( e24 = h(e14)
    | ~ spl0_50 ),
    inference(forward_demodulation,[],[f111,f383]) ).

fof(f510,plain,
    ( spl0_34
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f483,f352,f314]) ).

fof(f314,plain,
    ( spl0_34
  <=> e22 = h(e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f483,plain,
    ( e22 = h(e11)
    | ~ spl0_43 ),
    inference(forward_demodulation,[],[f109,f354]) ).

fof(f509,plain,
    ( ~ spl0_2
    | ~ spl0_45 ),
    inference(avatar_contradiction_clause,[],[f508]) ).

fof(f508,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_45 ),
    inference(subsumption_resolution,[],[f507,f143]) ).

fof(f507,plain,
    ( e21 = e22
    | ~ spl0_2
    | ~ spl0_45 ),
    inference(forward_demodulation,[],[f506,f182]) ).

fof(f506,plain,
    ( e22 = h(e14)
    | ~ spl0_45 ),
    inference(forward_demodulation,[],[f109,f362]) ).

fof(f490,plain,
    ( ~ spl0_33
    | ~ spl0_34 ),
    inference(avatar_contradiction_clause,[],[f489]) ).

fof(f489,plain,
    ( $false
    | ~ spl0_33
    | ~ spl0_34 ),
    inference(subsumption_resolution,[],[f486,f149]) ).

fof(f486,plain,
    ( e22 = e24
    | ~ spl0_33
    | ~ spl0_34 ),
    inference(backward_demodulation,[],[f312,f316]) ).

fof(f316,plain,
    ( e22 = h(e11)
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f314]) ).

fof(f312,plain,
    ( e24 = h(e11)
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f310]) ).

fof(f466,plain,
    ( ~ spl0_2
    | ~ spl0_40 ),
    inference(avatar_contradiction_clause,[],[f465]) ).

fof(f465,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_40 ),
    inference(subsumption_resolution,[],[f464,f144]) ).

fof(f464,plain,
    ( e21 = e23
    | ~ spl0_2
    | ~ spl0_40 ),
    inference(forward_demodulation,[],[f463,f182]) ).

fof(f454,plain,
    ( ~ spl0_35
    | ~ spl0_47 ),
    inference(avatar_contradiction_clause,[],[f453]) ).

fof(f453,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_47 ),
    inference(subsumption_resolution,[],[f452,f141]) ).

fof(f452,plain,
    ( e23 = e24
    | ~ spl0_35
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f451,f320]) ).

fof(f320,plain,
    ( e23 = h(e11)
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f318]) ).

fof(f451,plain,
    ( e24 = h(e11)
    | ~ spl0_47 ),
    inference(forward_demodulation,[],[f111,f371]) ).

fof(f417,plain,
    ( ~ spl0_24
    | ~ spl0_25 ),
    inference(avatar_contradiction_clause,[],[f416]) ).

fof(f416,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_25 ),
    inference(subsumption_resolution,[],[f415,f148]) ).

fof(f415,plain,
    ( e22 = e23
    | ~ spl0_24
    | ~ spl0_25 ),
    inference(backward_demodulation,[],[f278,f274]) ).

fof(f384,plain,
    ( spl0_46
    | spl0_47
    | spl0_48
    | spl0_49
    | spl0_50 ),
    inference(avatar_split_clause,[],[f79,f381,f377,f373,f369,f365]) ).

fof(f79,plain,
    ( e14 = j(e24)
    | e10 = j(e24)
    | e13 = j(e24)
    | e11 = j(e24)
    | e12 = j(e24) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f363,plain,
    ( spl0_41
    | spl0_42
    | spl0_43
    | spl0_44
    | spl0_45 ),
    inference(avatar_split_clause,[],[f104,f360,f356,f352,f348,f344]) ).

fof(f104,plain,
    ( e14 = j(e22)
    | e10 = j(e22)
    | e11 = j(e22)
    | e12 = j(e22)
    | e13 = j(e22) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f342,plain,
    ( spl0_36
    | spl0_37
    | spl0_38
    | spl0_39
    | spl0_40 ),
    inference(avatar_split_clause,[],[f114,f339,f335,f331,f327,f323]) ).

fof(f114,plain,
    ( e14 = j(e23)
    | e11 = j(e23)
    | e12 = j(e23)
    | e10 = j(e23)
    | e13 = j(e23) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f300,plain,
    ( spl0_26
    | spl0_27
    | spl0_28
    | spl0_29
    | spl0_30 ),
    inference(avatar_split_clause,[],[f127,f297,f293,f289,f285,f281]) ).

fof(f127,plain,
    ( e13 = j(e20)
    | e11 = j(e20)
    | e12 = j(e20)
    | e14 = j(e20)
    | e10 = j(e20) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f279,plain,
    ( spl0_21
    | spl0_22
    | spl0_23
    | spl0_24
    | spl0_25 ),
    inference(avatar_split_clause,[],[f95,f276,f272,f268,f264,f260]) ).

fof(f95,plain,
    ( e23 = h(e13)
    | e22 = h(e13)
    | e21 = h(e13)
    | e20 = h(e13)
    | e24 = h(e13) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f258,plain,
    ( spl0_16
    | spl0_17
    | spl0_18
    | spl0_19
    | spl0_20 ),
    inference(avatar_split_clause,[],[f100,f255,f251,f247,f243,f239]) ).

fof(f100,plain,
    ( e13 = j(e21)
    | e14 = j(e21)
    | e10 = j(e21)
    | e11 = j(e21)
    | e12 = j(e21) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f237,plain,
    ( spl0_11
    | spl0_12
    | spl0_13
    | spl0_14
    | spl0_15 ),
    inference(avatar_split_clause,[],[f76,f234,f230,f226,f222,f218]) ).

fof(f76,plain,
    ( e22 = h(e12)
    | e24 = h(e12)
    | e21 = h(e12)
    | e23 = h(e12)
    | e20 = h(e12) ),
    inference(cnf_transformation,[],[f9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : ALG076+1 : TPTP v8.1.0. Released v2.7.0.
% 0.10/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n004.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon Aug 29 14:50:19 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.46  % (13066)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.48  % (13082)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.50  TRYING [10]
% 0.20/0.51  % (13076)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52  % (13080)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.52  % (13088)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.52  % (13092)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.52  % (13078)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.52  % (13079)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53  % (13068)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.53  % (13084)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53  % (13070)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (13072)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (13075)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (13077)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53  % (13095)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.54  % (13091)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.54  % (13087)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54  % (13067)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55  % (13069)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55  % (13083)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.55  % (13081)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.56  % (13089)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.56  % (13094)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.56  % (13071)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.56  % (13090)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.56  % (13074)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.56  % (13074)Instruction limit reached!
% 0.20/0.56  % (13074)------------------------------
% 0.20/0.56  % (13074)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (13074)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (13074)Termination reason: Unknown
% 0.20/0.56  % (13074)Termination phase: Property scanning
% 0.20/0.56  
% 0.20/0.56  % (13074)Memory used [KB]: 1023
% 0.20/0.56  % (13074)Time elapsed: 0.003 s
% 0.20/0.56  % (13074)Instructions burned: 3 (million)
% 0.20/0.56  % (13074)------------------------------
% 0.20/0.56  % (13074)------------------------------
% 0.20/0.56  % (13093)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.57  TRYING [10]
% 0.20/0.57  % (13085)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.57  % (13086)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.57  % (13082)First to succeed.
% 0.20/0.58  % (13073)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.58  % (13073)Instruction limit reached!
% 0.20/0.58  % (13073)------------------------------
% 0.20/0.58  % (13073)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (13073)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (13073)Termination reason: Unknown
% 0.20/0.58  % (13073)Termination phase: Saturation
% 0.20/0.58  
% 0.20/0.58  % (13073)Memory used [KB]: 5628
% 0.20/0.58  % (13073)Time elapsed: 0.175 s
% 0.20/0.58  % (13073)Instructions burned: 8 (million)
% 0.20/0.58  % (13073)------------------------------
% 0.20/0.58  % (13073)------------------------------
% 1.85/0.59  % (13082)Refutation found. Thanks to Tanya!
% 1.85/0.59  % SZS status Theorem for theBenchmark
% 1.85/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.85/0.59  % (13082)------------------------------
% 1.85/0.59  % (13082)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.59  % (13082)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.59  % (13082)Termination reason: Refutation
% 1.85/0.59  
% 1.85/0.59  % (13082)Memory used [KB]: 6908
% 1.85/0.59  % (13082)Time elapsed: 0.159 s
% 1.85/0.59  % (13082)Instructions burned: 98 (million)
% 1.85/0.59  % (13082)------------------------------
% 1.85/0.59  % (13082)------------------------------
% 1.85/0.59  % (13065)Success in time 0.244 s
%------------------------------------------------------------------------------