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Vampire-SAT---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN448-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 02:08:37 PM UTC 2026

% Result   : Unsatisfiable 0.19s 0.29s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   50
%            Number of leaves      :  224
% Syntax   : Number of formulae    :  856 (  32 unt; 120 def)
%            Number of atoms       : 2744 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 3404 (1516   ~;1768   |;   0   &)
%                                         ( 120 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  150 ( 149 usr; 146 prp; 0-1 aty)
%            Number of functors    :   24 (  24 usr;  24 con; 0-0 aty)
%            Number of variables   :  133 (   0 sgn 133   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ( hskp5
    | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

fof(f3,negated_conjecture,
    ( ~ hskp27
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).

fof(f8,negated_conjecture,
    ( ~ hskp22
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).

fof(f13,negated_conjecture,
    ( ~ hskp17
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).

fof(f31,negated_conjecture,
    ( hskp27
    | hskp22
    | hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).

fof(f32,negated_conjecture,
    ( hskp8
    | hskp15
    | hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).

fof(f33,negated_conjecture,
    ( hskp25
    | hskp5
    | hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).

fof(f34,negated_conjecture,
    ( hskp9
    | hskp23
    | hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

fof(f36,negated_conjecture,
    ( hskp24
    | hskp15
    | hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

fof(f37,negated_conjecture,
    ( hskp20
    | hskp6
    | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

fof(f41,negated_conjecture,
    ( ~ hskp27
    | c0_1(a473) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

fof(f42,negated_conjecture,
    ( ~ hskp27
    | c1_1(a473) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

fof(f43,negated_conjecture,
    ( ~ hskp27
    | c3_1(a473) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

fof(f44,negated_conjecture,
    ( ~ hskp26
    | c1_1(a470) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

fof(f46,negated_conjecture,
    ( ~ hskp26
    | c3_1(a470) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f47,negated_conjecture,
    ( ~ hskp25
    | c0_1(a461) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f49,negated_conjecture,
    ( ~ hskp25
    | c3_1(a461) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f50,negated_conjecture,
    ( ~ hskp24
    | c0_1(a540) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f52,negated_conjecture,
    ( ~ hskp22
    | c0_1(a524) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f53,negated_conjecture,
    ( ~ hskp22
    | c1_1(a524) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

fof(f54,negated_conjecture,
    ( ~ hskp21
    | c0_1(a512) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

fof(f56,negated_conjecture,
    ( ~ hskp20
    | c2_1(a503) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

fof(f57,negated_conjecture,
    ( ~ hskp20
    | c3_1(a503) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f58,negated_conjecture,
    ( ~ hskp19
    | c2_1(a502) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f59,negated_conjecture,
    ( ~ hskp19
    | c3_1(a502) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f62,negated_conjecture,
    ( ~ hskp16
    | c1_1(a493) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f63,negated_conjecture,
    ( ~ hskp15
    | c1_1(a492) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f64,negated_conjecture,
    ( ~ hskp15
    | c3_1(a492) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f67,negated_conjecture,
    ( ~ hskp11
    | c2_1(a478) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f70,negated_conjecture,
    ( ~ hskp9
    | c0_1(a476) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f71,negated_conjecture,
    ( ~ hskp9
    | c2_1(a476) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f72,negated_conjecture,
    ( ~ hskp8
    | c0_1(a475) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f73,negated_conjecture,
    ( ~ hskp8
    | c1_1(a475) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f75,negated_conjecture,
    ( ~ hskp6
    | c2_1(a471) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f76,negated_conjecture,
    ( ~ hskp5
    | c0_1(a468) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f77,negated_conjecture,
    ( ~ hskp5
    | c3_1(a468) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f78,negated_conjecture,
    ( ~ hskp4
    | c3_1(a467) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f79,negated_conjecture,
    ( ~ hskp3
    | c1_1(a466) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( ~ hskp3
    | c3_1(a466) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( ~ hskp1
    | c2_1(a463) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( ~ hskp0
    | c0_1(a460) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f84,negated_conjecture,
    ( ~ c2_1(a540)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f85,negated_conjecture,
    ( ~ c1_1(a533)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f86,negated_conjecture,
    ( ~ c3_1(a533)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f87,negated_conjecture,
    ( ~ c2_1(a524)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

fof(f88,negated_conjecture,
    ( ~ c1_1(a512)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

fof(f89,negated_conjecture,
    ( ~ c1_1(a503)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

fof(f90,negated_conjecture,
    ( ~ c0_1(a502)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

fof(f92,negated_conjecture,
    ( ~ c0_1(a494)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

fof(f93,negated_conjecture,
    ( ~ c1_1(a494)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

fof(f94,negated_conjecture,
    ( ~ c3_1(a494)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f96,negated_conjecture,
    ( ~ c2_1(a493)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f97,negated_conjecture,
    ( ~ c2_1(a492)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f98,negated_conjecture,
    ( ~ c1_1(a488)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f99,negated_conjecture,
    ( ~ c2_1(a488)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f100,negated_conjecture,
    ( ~ c3_1(a488)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f102,negated_conjecture,
    ( ~ c0_1(a480)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f103,negated_conjecture,
    ( ~ c1_1(a480)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

fof(f104,negated_conjecture,
    ( ~ c2_1(a480)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f105,negated_conjecture,
    ( ~ c0_1(a478)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f106,negated_conjecture,
    ( ~ c3_1(a478)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f108,negated_conjecture,
    ( ~ c1_1(a476)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f109,negated_conjecture,
    ( ~ c3_1(a475)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f112,negated_conjecture,
    ( ~ c1_1(a471)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f113,negated_conjecture,
    ( ~ c3_1(a471)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f114,negated_conjecture,
    ( ~ c2_1(a468)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f115,negated_conjecture,
    ( ~ c0_1(a467)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f116,negated_conjecture,
    ( ~ c1_1(a467)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f117,negated_conjecture,
    ( ~ c0_1(a466)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f118,negated_conjecture,
    ( ~ c0_1(a465)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f119,negated_conjecture,
    ( ~ c2_1(a465)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f120,negated_conjecture,
    ( ~ c3_1(a465)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f121,negated_conjecture,
    ( ~ c0_1(a463)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f122,negated_conjecture,
    ( ~ c1_1(a463)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f123,negated_conjecture,
    ( ~ c2_1(a460)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f124,negated_conjecture,
    ( ~ c3_1(a460)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f125,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | hskp0
      | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f126,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | hskp3
      | hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f127,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | hskp6
      | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f128,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c3_1(X0)
      | hskp0
      | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

fof(f129,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | hskp16
      | hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f133,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | hskp19
      | hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

fof(f134,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | hskp12
      | hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

fof(f137,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp3
      | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).

fof(f139,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp15
      | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).

fof(f142,negated_conjecture,
    ! [X0,X1] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).

fof(f144,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).

fof(f149,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

fof(f151,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).

fof(f153,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).

fof(f154,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).

fof(f155,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c0_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).

fof(f159,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c2_1(X0)
      | c2_1(X1)
      | c3_1(X1)
      | hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).

fof(f160,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X1)
      | c1_1(X1)
      | hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).

fof(f162,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c0_1(X1)
      | c3_1(X1)
      | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).

fof(f166,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).

fof(f168,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c0_1(X1)
      | hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).

fof(f170,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | c1_1(X1)
      | hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).

fof(f171,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | c1_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).

fof(f172,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c0_1(X2)
      | c1_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

fof(f173,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | c0_1(X2)
      | c1_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

fof(f174,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X2)
      | c0_1(X0)
      | c0_1(X1)
      | c0_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).

fof(f175,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c1_1(X2)
      | c2_1(X2)
      | c3_1(X2)
      | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).

fof(f176,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X2)
      | c2_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | c0_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).

fof(f178,definition,
    ( spl0_1
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c0_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f179,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c0_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f178]) ).

fof(f181,definition,
    ( spl0_2
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f182,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | ~ c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f181]) ).

fof(f184,definition,
    ( spl0_3
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f188,definition,
    ( spl0_4
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f189,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f188]) ).

fof(f190,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f176,f188,f184,f181,f178]) ).

fof(f192,definition,
    ( spl0_5
  <=> ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f193,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c1_1(X2)
        | c2_1(X2) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f192]) ).

fof(f195,definition,
    ( spl0_6
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f196,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f195]) ).

fof(f197,plain,
    ( spl0_5
    | spl0_1
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f175,f195,f184,f178,f192]) ).

fof(f199,definition,
    ( spl0_7
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f200,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f199]) ).

fof(f202,definition,
    ( spl0_8
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f203,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f202]) ).

fof(f204,plain,
    ( spl0_7
    | spl0_8
    | ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f174,f178,f184,f202,f199]) ).

fof(f206,definition,
    ( spl0_9
  <=> ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f207,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f206]) ).

fof(f209,definition,
    ( spl0_10
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f210,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f209]) ).

fof(f212,definition,
    ( spl0_11
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f213,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f212]) ).

fof(f214,plain,
    ( spl0_9
    | spl0_10
    | ~ spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f173,f212,f184,f209,f206]) ).

fof(f216,definition,
    ( spl0_12
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f217,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f216]) ).

fof(f218,plain,
    ( spl0_9
    | spl0_8
    | ~ spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f172,f216,f184,f202,f206]) ).

fof(f220,definition,
    ( spl0_13
  <=> ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f221,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c0_1(X2)
        | c1_1(X2) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f220]) ).

fof(f223,definition,
    ( spl0_14
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f224,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f223]) ).

fof(f225,plain,
    ( spl0_13
    | spl0_5
    | ~ spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f171,f223,f184,f192,f220]) ).

fof(f227,definition,
    ( spl0_15
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f231,definition,
    ( spl0_16
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f232,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | ~ c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f231]) ).

fof(f234,definition,
    ( spl0_17
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f235,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f234]) ).

fof(f236,plain,
    ( spl0_15
    | spl0_16
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f170,f234,f184,f231,f227]) ).

fof(f246,definition,
    ( spl0_20
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f249,plain,
    ( spl0_20
    | spl0_8
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f168,f234,f184,f202,f246]) ).

fof(f256,definition,
    ( spl0_22
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f259,plain,
    ( spl0_22
    | spl0_12
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f166,f195,f184,f216,f256]) ).

fof(f261,definition,
    ( spl0_23
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f266,definition,
    ( spl0_24
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f270,definition,
    ( spl0_25
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f271,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f274,definition,
    ( spl0_26
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f279,definition,
    ( spl0_27
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f283,definition,
    ( spl0_28
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f284,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f283]) ).

fof(f285,plain,
    ( spl0_27
    | spl0_28
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f162,f234,f184,f283,f279]) ).

fof(f287,definition,
    ( spl0_29
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f288,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f287]) ).

fof(f291,definition,
    ( spl0_30
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f295,definition,
    ( spl0_31
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f296,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | ~ c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f295]) ).

fof(f297,plain,
    ( spl0_30
    | spl0_31
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f160,f234,f184,f295,f291]) ).

fof(f299,definition,
    ( spl0_32
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f303,definition,
    ( spl0_33
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f304,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f303]) ).

fof(f306,definition,
    ( spl0_34
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f307,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f306]) ).

fof(f308,plain,
    ( spl0_32
    | spl0_33
    | ~ spl0_3
    | spl0_34 ),
    inference(avatar_split_clause,[],[f159,f306,f184,f303,f299]) ).

fof(f317,definition,
    ( spl0_37
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f318,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f317]) ).

fof(f322,definition,
    ( spl0_38
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f323,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f322]) ).

fof(f325,plain,
    ( spl0_24
    | spl0_29
    | ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f155,f178,f184,f287,f266]) ).

fof(f326,plain,
    ( spl0_26
    | spl0_7
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f154,f209,f184,f199,f274]) ).

fof(f328,definition,
    ( spl0_39
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f332,definition,
    ( spl0_40
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f333,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f332]) ).

fof(f334,plain,
    ( spl0_39
    | spl0_13
    | ~ spl0_3
    | spl0_40 ),
    inference(avatar_split_clause,[],[f153,f332,f184,f220,f328]) ).

fof(f336,definition,
    ( spl0_41
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f341,definition,
    ( spl0_42
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f344,plain,
    ( spl0_42
    | spl0_37
    | ~ spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f151,f216,f184,f317,f341]) ).

fof(f351,definition,
    ( spl0_44
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f352,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f351]) ).

fof(f353,plain,
    ( spl0_39
    | spl0_13
    | ~ spl0_3
    | spl0_44 ),
    inference(avatar_split_clause,[],[f149,f351,f184,f220,f328]) ).

fof(f356,definition,
    ( spl0_45
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f361,definition,
    ( spl0_46
  <=> ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f362,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f361]) ).

fof(f365,definition,
    ( spl0_47
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f370,definition,
    ( spl0_48
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f373,plain,
    ( spl0_48
    | spl0_9
    | ~ spl0_3
    | spl0_31 ),
    inference(avatar_split_clause,[],[f144,f295,f184,f206,f370]) ).

fof(f375,definition,
    ( spl0_49
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f379,plain,
    ( spl0_48
    | spl0_13
    | spl0_46
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f142,f184,f361,f220,f370]) ).

fof(f382,definition,
    ( spl0_50
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f386,plain,
    ( spl0_45
    | spl0_50
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f139,f188,f184,f382,f356]) ).

fof(f388,definition,
    ( spl0_51
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f396,plain,
    ( spl0_42
    | spl0_22
    | ~ spl0_3
    | spl0_25 ),
    inference(avatar_split_clause,[],[f137,f270,f184,f256,f341]) ).

fof(f399,plain,
    ( spl0_20
    | spl0_42
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f134,f181,f184,f341,f246]) ).

fof(f401,definition,
    ( spl0_53
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f404,plain,
    ( spl0_51
    | spl0_53
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f133,f181,f184,f401,f388]) ).

fof(f407,definition,
    ( spl0_54
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f415,plain,
    ( spl0_15
    | spl0_54
    | ~ spl0_3
    | spl0_38 ),
    inference(avatar_split_clause,[],[f129,f322,f184,f407,f227]) ).

fof(f417,definition,
    ( spl0_56
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c0_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f418,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f417]) ).

fof(f419,plain,
    ( spl0_42
    | spl0_48
    | ~ spl0_3
    | spl0_56 ),
    inference(avatar_split_clause,[],[f128,f417,f184,f370,f341]) ).

fof(f421,definition,
    ( spl0_57
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f424,plain,
    ( spl0_45
    | spl0_57
    | ~ spl0_3
    | spl0_31 ),
    inference(avatar_split_clause,[],[f127,f295,f184,f421,f356]) ).

fof(f425,plain,
    ( spl0_50
    | spl0_22
    | spl0_5
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f126,f184,f192,f256,f382]) ).

fof(f426,plain,
    ( spl0_23
    | spl0_48
    | spl0_9
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f125,f184,f206,f370,f261]) ).

fof(f428,definition,
    ( spl0_58
  <=> c3_1(a460) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f430,plain,
    ( ~ c3_1(a460)
    | spl0_58 ),
    inference(avatar_component_clause,[],[f428]) ).

fof(f431,plain,
    ( ~ spl0_48
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f124,f428,f370]) ).

fof(f433,definition,
    ( spl0_59
  <=> c2_1(a460) ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f435,plain,
    ( ~ c2_1(a460)
    | spl0_59 ),
    inference(avatar_component_clause,[],[f433]) ).

fof(f436,plain,
    ( ~ spl0_48
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f123,f433,f370]) ).

fof(f438,definition,
    ( spl0_60
  <=> c1_1(a463) ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f440,plain,
    ( ~ c1_1(a463)
    | spl0_60 ),
    inference(avatar_component_clause,[],[f438]) ).

fof(f441,plain,
    ( ~ spl0_23
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f122,f438,f261]) ).

fof(f443,definition,
    ( spl0_61
  <=> c0_1(a463) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f445,plain,
    ( ~ c0_1(a463)
    | spl0_61 ),
    inference(avatar_component_clause,[],[f443]) ).

fof(f446,plain,
    ( ~ spl0_23
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f121,f443,f261]) ).

fof(f448,definition,
    ( spl0_62
  <=> c3_1(a465) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f450,plain,
    ( ~ c3_1(a465)
    | spl0_62 ),
    inference(avatar_component_clause,[],[f448]) ).

fof(f451,plain,
    ( ~ spl0_45
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f120,f448,f356]) ).

fof(f453,definition,
    ( spl0_63
  <=> c2_1(a465) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f455,plain,
    ( ~ c2_1(a465)
    | spl0_63 ),
    inference(avatar_component_clause,[],[f453]) ).

fof(f456,plain,
    ( ~ spl0_45
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f119,f453,f356]) ).

fof(f458,definition,
    ( spl0_64
  <=> c0_1(a465) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f460,plain,
    ( ~ c0_1(a465)
    | spl0_64 ),
    inference(avatar_component_clause,[],[f458]) ).

fof(f461,plain,
    ( ~ spl0_45
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f118,f458,f356]) ).

fof(f463,definition,
    ( spl0_65
  <=> c0_1(a466) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f466,plain,
    ( ~ spl0_22
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f117,f463,f256]) ).

fof(f468,definition,
    ( spl0_66
  <=> c1_1(a467) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f470,plain,
    ( ~ c1_1(a467)
    | spl0_66 ),
    inference(avatar_component_clause,[],[f468]) ).

fof(f471,plain,
    ( ~ spl0_39
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f116,f468,f328]) ).

fof(f473,definition,
    ( spl0_67
  <=> c0_1(a467) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f475,plain,
    ( ~ c0_1(a467)
    | spl0_67 ),
    inference(avatar_component_clause,[],[f473]) ).

fof(f476,plain,
    ( ~ spl0_39
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f115,f473,f328]) ).

fof(f478,definition,
    ( spl0_68
  <=> c2_1(a468) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f480,plain,
    ( ~ c2_1(a468)
    | spl0_68 ),
    inference(avatar_component_clause,[],[f478]) ).

fof(f481,plain,
    ( ~ spl0_41
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f114,f478,f336]) ).

fof(f483,definition,
    ( spl0_69
  <=> c3_1(a471) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f485,plain,
    ( ~ c3_1(a471)
    | spl0_69 ),
    inference(avatar_component_clause,[],[f483]) ).

fof(f486,plain,
    ( ~ spl0_57
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f113,f483,f421]) ).

fof(f488,definition,
    ( spl0_70
  <=> c1_1(a471) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f490,plain,
    ( ~ c1_1(a471)
    | spl0_70 ),
    inference(avatar_component_clause,[],[f488]) ).

fof(f491,plain,
    ( ~ spl0_57
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f112,f488,f421]) ).

fof(f503,definition,
    ( spl0_73
  <=> c3_1(a475) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f505,plain,
    ( ~ c3_1(a475)
    | spl0_73 ),
    inference(avatar_component_clause,[],[f503]) ).

fof(f506,plain,
    ( ~ spl0_26
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f109,f503,f274]) ).

fof(f508,definition,
    ( spl0_74
  <=> c1_1(a476) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f510,plain,
    ( ~ c1_1(a476)
    | spl0_74 ),
    inference(avatar_component_clause,[],[f508]) ).

fof(f511,plain,
    ( ~ spl0_24
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f108,f508,f266]) ).

fof(f518,definition,
    ( spl0_76
  <=> c3_1(a478) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f520,plain,
    ( ~ c3_1(a478)
    | spl0_76 ),
    inference(avatar_component_clause,[],[f518]) ).

fof(f521,plain,
    ( ~ spl0_27
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f106,f518,f279]) ).

fof(f523,definition,
    ( spl0_77
  <=> c0_1(a478) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f526,plain,
    ( ~ spl0_27
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f105,f523,f279]) ).

fof(f528,definition,
    ( spl0_78
  <=> c2_1(a480) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f530,plain,
    ( ~ c2_1(a480)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f528]) ).

fof(f531,plain,
    ( ~ spl0_42
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f104,f528,f341]) ).

fof(f533,definition,
    ( spl0_79
  <=> c1_1(a480) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f535,plain,
    ( ~ c1_1(a480)
    | spl0_79 ),
    inference(avatar_component_clause,[],[f533]) ).

fof(f536,plain,
    ( ~ spl0_42
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f103,f533,f341]) ).

fof(f538,definition,
    ( spl0_80
  <=> c0_1(a480) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f541,plain,
    ( ~ spl0_42
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f102,f538,f341]) ).

fof(f548,definition,
    ( spl0_82
  <=> c3_1(a488) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f550,plain,
    ( ~ c3_1(a488)
    | spl0_82 ),
    inference(avatar_component_clause,[],[f548]) ).

fof(f551,plain,
    ( ~ spl0_20
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f100,f548,f246]) ).

fof(f553,definition,
    ( spl0_83
  <=> c2_1(a488) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f555,plain,
    ( ~ c2_1(a488)
    | spl0_83 ),
    inference(avatar_component_clause,[],[f553]) ).

fof(f556,plain,
    ( ~ spl0_20
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f99,f553,f246]) ).

fof(f558,definition,
    ( spl0_84
  <=> c1_1(a488) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f560,plain,
    ( ~ c1_1(a488)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f558]) ).

fof(f561,plain,
    ( ~ spl0_20
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f98,f558,f246]) ).

fof(f563,definition,
    ( spl0_85
  <=> c2_1(a492) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f565,plain,
    ( ~ c2_1(a492)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f563]) ).

fof(f566,plain,
    ( ~ spl0_50
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f97,f563,f382]) ).

fof(f568,definition,
    ( spl0_86
  <=> c2_1(a493) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f570,plain,
    ( ~ c2_1(a493)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f568]) ).

fof(f571,plain,
    ( ~ spl0_54
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f96,f568,f407]) ).

fof(f578,definition,
    ( spl0_88
  <=> c3_1(a494) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f580,plain,
    ( ~ c3_1(a494)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f578]) ).

fof(f581,plain,
    ( ~ spl0_15
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f94,f578,f227]) ).

fof(f583,definition,
    ( spl0_89
  <=> c1_1(a494) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f585,plain,
    ( ~ c1_1(a494)
    | spl0_89 ),
    inference(avatar_component_clause,[],[f583]) ).

fof(f586,plain,
    ( ~ spl0_15
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f93,f583,f227]) ).

fof(f588,definition,
    ( spl0_90
  <=> c0_1(a494) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f590,plain,
    ( ~ c0_1(a494)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f588]) ).

fof(f591,plain,
    ( ~ spl0_15
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f92,f588,f227]) ).

fof(f598,definition,
    ( spl0_92
  <=> c0_1(a502) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f600,plain,
    ( ~ c0_1(a502)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f598]) ).

fof(f601,plain,
    ( ~ spl0_53
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f90,f598,f401]) ).

fof(f603,definition,
    ( spl0_93
  <=> c1_1(a503) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f605,plain,
    ( ~ c1_1(a503)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f603]) ).

fof(f606,plain,
    ( ~ spl0_51
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f89,f603,f388]) ).

fof(f608,definition,
    ( spl0_94
  <=> c1_1(a512) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f610,plain,
    ( ~ c1_1(a512)
    | spl0_94 ),
    inference(avatar_component_clause,[],[f608]) ).

fof(f611,plain,
    ( ~ spl0_32
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f88,f608,f299]) ).

fof(f613,definition,
    ( spl0_95
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f617,definition,
    ( spl0_96
  <=> c2_1(a524) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f619,plain,
    ( ~ c2_1(a524)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f617]) ).

fof(f620,plain,
    ( ~ spl0_95
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f87,f617,f613]) ).

fof(f622,definition,
    ( spl0_97
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f626,definition,
    ( spl0_98
  <=> c3_1(a533) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f628,plain,
    ( ~ c3_1(a533)
    | spl0_98 ),
    inference(avatar_component_clause,[],[f626]) ).

fof(f629,plain,
    ( ~ spl0_97
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f86,f626,f622]) ).

fof(f631,definition,
    ( spl0_99
  <=> c1_1(a533) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f633,plain,
    ( ~ c1_1(a533)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f631]) ).

fof(f634,plain,
    ( ~ spl0_97
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f85,f631,f622]) ).

fof(f636,definition,
    ( spl0_100
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f640,definition,
    ( spl0_101
  <=> c2_1(a540) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f642,plain,
    ( ~ c2_1(a540)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f640]) ).

fof(f643,plain,
    ( ~ spl0_100
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f84,f640,f636]) ).

fof(f650,definition,
    ( spl0_103
  <=> c0_1(a460) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f652,plain,
    ( c0_1(a460)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f650]) ).

fof(f653,plain,
    ( spl0_103
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f82,f370,f650]) ).

fof(f655,definition,
    ( spl0_104
  <=> c2_1(a463) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f657,plain,
    ( c2_1(a463)
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f655]) ).

fof(f658,plain,
    ( spl0_104
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f81,f261,f655]) ).

fof(f660,definition,
    ( spl0_105
  <=> c3_1(a466) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f662,plain,
    ( c3_1(a466)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f660]) ).

fof(f663,plain,
    ( spl0_105
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f80,f256,f660]) ).

fof(f665,definition,
    ( spl0_106
  <=> c1_1(a466) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f667,plain,
    ( c1_1(a466)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f665]) ).

fof(f668,plain,
    ( spl0_106
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f79,f256,f665]) ).

fof(f670,definition,
    ( spl0_107
  <=> c3_1(a467) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f672,plain,
    ( c3_1(a467)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f670]) ).

fof(f673,plain,
    ( spl0_107
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f78,f328,f670]) ).

fof(f675,definition,
    ( spl0_108
  <=> c3_1(a468) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f677,plain,
    ( c3_1(a468)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f675]) ).

fof(f678,plain,
    ( spl0_108
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f77,f336,f675]) ).

fof(f680,definition,
    ( spl0_109
  <=> c0_1(a468) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f682,plain,
    ( c0_1(a468)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f680]) ).

fof(f683,plain,
    ( spl0_109
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f76,f336,f680]) ).

fof(f685,definition,
    ( spl0_110
  <=> c2_1(a471) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f687,plain,
    ( c2_1(a471)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f685]) ).

fof(f688,plain,
    ( spl0_110
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f75,f421,f685]) ).

fof(f695,definition,
    ( spl0_112
  <=> c1_1(a475) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f697,plain,
    ( c1_1(a475)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f695]) ).

fof(f698,plain,
    ( spl0_112
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f73,f274,f695]) ).

fof(f700,definition,
    ( spl0_113
  <=> c0_1(a475) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f702,plain,
    ( c0_1(a475)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f700]) ).

fof(f703,plain,
    ( spl0_113
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f72,f274,f700]) ).

fof(f705,definition,
    ( spl0_114
  <=> c2_1(a476) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f707,plain,
    ( c2_1(a476)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f705]) ).

fof(f708,plain,
    ( spl0_114
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f71,f266,f705]) ).

fof(f710,definition,
    ( spl0_115
  <=> c0_1(a476) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f713,plain,
    ( spl0_115
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f70,f266,f710]) ).

fof(f725,definition,
    ( spl0_118
  <=> c2_1(a478) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f727,plain,
    ( c2_1(a478)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f725]) ).

fof(f728,plain,
    ( spl0_118
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f67,f279,f725]) ).

fof(f740,definition,
    ( spl0_121
  <=> c3_1(a492) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f742,plain,
    ( c3_1(a492)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f740]) ).

fof(f743,plain,
    ( spl0_121
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f64,f382,f740]) ).

fof(f745,definition,
    ( spl0_122
  <=> c1_1(a492) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f747,plain,
    ( c1_1(a492)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f745]) ).

fof(f748,plain,
    ( spl0_122
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f63,f382,f745]) ).

fof(f750,definition,
    ( spl0_123
  <=> c1_1(a493) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f752,plain,
    ( c1_1(a493)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f750]) ).

fof(f753,plain,
    ( spl0_123
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f62,f407,f750]) ).

fof(f765,definition,
    ( spl0_126
  <=> c3_1(a502) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f767,plain,
    ( c3_1(a502)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f765]) ).

fof(f768,plain,
    ( spl0_126
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f59,f401,f765]) ).

fof(f770,definition,
    ( spl0_127
  <=> c2_1(a502) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f772,plain,
    ( c2_1(a502)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f770]) ).

fof(f773,plain,
    ( spl0_127
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f58,f401,f770]) ).

fof(f775,definition,
    ( spl0_128
  <=> c3_1(a503) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f777,plain,
    ( c3_1(a503)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f775]) ).

fof(f778,plain,
    ( spl0_128
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f57,f388,f775]) ).

fof(f780,definition,
    ( spl0_129
  <=> c2_1(a503) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f782,plain,
    ( c2_1(a503)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f780]) ).

fof(f783,plain,
    ( spl0_129
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f56,f388,f780]) ).

fof(f790,definition,
    ( spl0_131
  <=> c0_1(a512) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f793,plain,
    ( spl0_131
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f54,f299,f790]) ).

fof(f795,definition,
    ( spl0_132
  <=> c1_1(a524) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f797,plain,
    ( c1_1(a524)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f795]) ).

fof(f798,plain,
    ( spl0_132
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f53,f613,f795]) ).

fof(f800,definition,
    ( spl0_133
  <=> c0_1(a524) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f803,plain,
    ( spl0_133
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f52,f613,f800]) ).

fof(f810,definition,
    ( spl0_135
  <=> c0_1(a540) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f812,plain,
    ( c0_1(a540)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f810]) ).

fof(f813,plain,
    ( spl0_135
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f50,f636,f810]) ).

fof(f815,definition,
    ( spl0_136
  <=> c3_1(a461) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f817,plain,
    ( c3_1(a461)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f815]) ).

fof(f818,plain,
    ( spl0_136
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f49,f365,f815]) ).

fof(f825,definition,
    ( spl0_138
  <=> c0_1(a461) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f827,plain,
    ( c0_1(a461)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f825]) ).

fof(f828,plain,
    ( spl0_138
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f47,f365,f825]) ).

fof(f830,definition,
    ( spl0_139
  <=> c3_1(a470) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f832,plain,
    ( c3_1(a470)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f830]) ).

fof(f833,plain,
    ( spl0_139
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f46,f291,f830]) ).

fof(f840,definition,
    ( spl0_141
  <=> c1_1(a470) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f842,plain,
    ( c1_1(a470)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f840]) ).

fof(f843,plain,
    ( spl0_141
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f44,f291,f840]) ).

fof(f845,definition,
    ( spl0_142
  <=> c3_1(a473) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f847,plain,
    ( c3_1(a473)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f845]) ).

fof(f848,plain,
    ( spl0_142
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f43,f375,f845]) ).

fof(f850,definition,
    ( spl0_143
  <=> c1_1(a473) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f852,plain,
    ( c1_1(a473)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f850]) ).

fof(f853,plain,
    ( spl0_143
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f42,f375,f850]) ).

fof(f855,definition,
    ( spl0_144
  <=> c0_1(a473) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f857,plain,
    ( c0_1(a473)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f855]) ).

fof(f858,plain,
    ( spl0_144
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f41,f375,f855]) ).

fof(f874,plain,
    ( spl0_42
    | spl0_57
    | spl0_51 ),
    inference(avatar_split_clause,[],[f37,f388,f421,f341]) ).

fof(f875,plain,
    ( spl0_54
    | spl0_50
    | spl0_100 ),
    inference(avatar_split_clause,[],[f36,f636,f382,f407]) ).

fof(f877,plain,
    ( spl0_51
    | spl0_97
    | spl0_24 ),
    inference(avatar_split_clause,[],[f34,f266,f622,f388]) ).

fof(f878,plain,
    ( spl0_20
    | spl0_41
    | spl0_47 ),
    inference(avatar_split_clause,[],[f33,f365,f336,f246]) ).

fof(f879,plain,
    ( spl0_54
    | spl0_50
    | spl0_26 ),
    inference(avatar_split_clause,[],[f32,f274,f382,f407]) ).

fof(f880,plain,
    ( spl0_15
    | spl0_95
    | spl0_49 ),
    inference(avatar_split_clause,[],[f31,f375,f613,f227]) ).

fof(f891,plain,
    ( spl0_3
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f13,f227,f184]) ).

fof(f894,plain,
    ( spl0_3
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f8,f613,f184]) ).

fof(f898,plain,
    ( spl0_3
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f3,f375,f184]) ).

fof(f899,plain,
    ( spl0_27
    | spl0_41 ),
    inference(avatar_split_clause,[],[f1,f336,f279]) ).

fof(f900,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c1_1(X2) )
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[],[f193,f182]) ).

fof(f901,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c2_1(X2) )
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(forward_subsumption_resolution,[],[f200,f189]) ).

fof(f903,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[],[f235,f213]) ).

fof(f905,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_13
    | ~ spl0_37 ),
    inference(forward_subsumption_resolution,[],[f318,f221]) ).

fof(f907,plain,
    ( c1_1(a494)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_88 ),
    inference(resolution,[],[f900,f580]) ).

fof(f912,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c2_1(X2) )
    | ~ spl0_5
    | ~ spl0_33 ),
    inference(forward_subsumption_resolution,[],[f193,f304]) ).

fof(f913,plain,
    ( c2_1(a492)
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_122 ),
    inference(resolution,[],[f901,f747]) ).

fof(f914,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_7
    | spl0_85
    | ~ spl0_122 ),
    inference(forward_subsumption_resolution,[],[f913,f565]) ).

fof(f915,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | spl0_85
    | ~ spl0_122 ),
    inference(avatar_contradiction_clause,[],[f914]) ).

fof(f916,plain,
    ( c2_1(a493)
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_123 ),
    inference(resolution,[],[f752,f901]) ).

fof(f917,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_7
    | spl0_86
    | ~ spl0_123 ),
    inference(forward_subsumption_resolution,[],[f916,f570]) ).

fof(f918,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | spl0_86
    | ~ spl0_123 ),
    inference(avatar_contradiction_clause,[],[f917]) ).

fof(f928,plain,
    ( ~ c0_1(a476)
    | ~ spl0_11
    | ~ spl0_17
    | ~ spl0_114 ),
    inference(resolution,[],[f903,f707]) ).

fof(f941,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_subsumption_resolution,[],[f196,f203]) ).

fof(f948,plain,
    ( c1_1(a488)
    | ~ spl0_13
    | ~ spl0_37
    | spl0_82 ),
    inference(resolution,[],[f905,f550]) ).

fof(f985,plain,
    ( ~ c1_1(a492)
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_121 ),
    inference(resolution,[],[f941,f742]) ).

fof(f988,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_121
    | ~ spl0_122 ),
    inference(forward_subsumption_resolution,[],[f985,f747]) ).

fof(f989,plain,
    ( ~ spl0_6
    | ~ spl0_8
    | ~ spl0_121
    | ~ spl0_122 ),
    inference(avatar_contradiction_clause,[],[f988]) ).

fof(f1001,plain,
    ( c2_1(a475)
    | ~ c0_1(a475)
    | ~ spl0_4
    | ~ spl0_112 ),
    inference(resolution,[],[f189,f697]) ).

fof(f1003,plain,
    ( c0_1(a502)
    | ~ c1_1(a502)
    | ~ spl0_8
    | ~ spl0_126 ),
    inference(resolution,[],[f203,f767]) ).

fof(f1009,plain,
    ( ~ c1_1(a502)
    | ~ spl0_8
    | spl0_92
    | ~ spl0_126 ),
    inference(forward_subsumption_resolution,[],[f1003,f600]) ).

fof(f1016,plain,
    ( c2_1(a467)
    | c0_1(a467)
    | ~ spl0_9
    | spl0_66 ),
    inference(resolution,[],[f207,f470]) ).

fof(f1018,plain,
    ( c2_1(a494)
    | c0_1(a494)
    | ~ spl0_9
    | spl0_89 ),
    inference(resolution,[],[f207,f585]) ).

fof(f1019,plain,
    ( c2_1(a488)
    | c0_1(a488)
    | ~ spl0_9
    | spl0_84 ),
    inference(resolution,[],[f207,f560]) ).

fof(f1020,plain,
    ( c2_1(a480)
    | c0_1(a480)
    | ~ spl0_9
    | spl0_79 ),
    inference(resolution,[],[f207,f535]) ).

fof(f1023,plain,
    ( c0_1(a480)
    | ~ spl0_9
    | spl0_78
    | spl0_79 ),
    inference(forward_subsumption_resolution,[],[f1020,f530]) ).

fof(f1024,plain,
    ( c0_1(a488)
    | ~ spl0_9
    | spl0_83
    | spl0_84 ),
    inference(forward_subsumption_resolution,[],[f1019,f555]) ).

fof(f1025,plain,
    ( c2_1(a467)
    | ~ spl0_9
    | spl0_66
    | spl0_67 ),
    inference(forward_subsumption_resolution,[],[f1016,f475]) ).

fof(f1031,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c2_1(X2) )
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(forward_subsumption_resolution,[],[f193,f901]) ).

fof(f1032,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_12
    | ~ spl0_46 ),
    inference(forward_subsumption_resolution,[],[f217,f362]) ).

fof(f1039,plain,
    ( c2_1(a460)
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | spl0_58 ),
    inference(resolution,[],[f1031,f430]) ).

fof(f1041,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | spl0_58
    | spl0_59 ),
    inference(forward_subsumption_resolution,[],[f1039,f435]) ).

fof(f1042,plain,
    ( ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | spl0_58
    | spl0_59 ),
    inference(avatar_contradiction_clause,[],[f1041]) ).

fof(f1043,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_1
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[],[f179,f235]) ).

fof(f1044,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[],[f224,f901]) ).

fof(f1045,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_17
    | ~ spl0_34 ),
    inference(forward_subsumption_resolution,[],[f307,f235]) ).

fof(f1046,plain,
    ( c0_1(a466)
    | ~ c1_1(a466)
    | ~ spl0_8
    | ~ spl0_105 ),
    inference(resolution,[],[f662,f203]) ).

fof(f1061,plain,
    ( c2_1(a473)
    | ~ c0_1(a473)
    | ~ spl0_4
    | ~ spl0_143 ),
    inference(resolution,[],[f852,f189]) ).

fof(f1065,plain,
    ( ~ c2_1(a502)
    | ~ spl0_1
    | ~ spl0_17
    | ~ spl0_126 ),
    inference(resolution,[],[f1043,f767]) ).

fof(f1076,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_17
    | ~ spl0_126
    | ~ spl0_127 ),
    inference(forward_subsumption_resolution,[],[f1065,f772]) ).

fof(f1077,plain,
    ( ~ spl0_1
    | ~ spl0_17
    | ~ spl0_126
    | ~ spl0_127 ),
    inference(avatar_contradiction_clause,[],[f1076]) ).

fof(f1082,plain,
    ( ~ c1_1(a475)
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_14
    | spl0_73 ),
    inference(resolution,[],[f1044,f505]) ).

fof(f1086,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_14
    | spl0_73
    | ~ spl0_112 ),
    inference(forward_subsumption_resolution,[],[f1082,f697]) ).

fof(f1087,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | ~ spl0_14
    | spl0_73
    | ~ spl0_112 ),
    inference(avatar_contradiction_clause,[],[f1086]) ).

fof(f1091,plain,
    ( ~ c0_1(a461)
    | ~ spl0_17
    | ~ spl0_34
    | ~ spl0_136 ),
    inference(resolution,[],[f1045,f817]) ).

fof(f1096,plain,
    ( ~ c0_1(a468)
    | ~ spl0_17
    | ~ spl0_34
    | ~ spl0_108 ),
    inference(resolution,[],[f1045,f677]) ).

fof(f1100,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_34
    | ~ spl0_108
    | ~ spl0_109 ),
    inference(forward_subsumption_resolution,[],[f1096,f682]) ).

fof(f1101,plain,
    ( ~ spl0_17
    | ~ spl0_34
    | ~ spl0_108
    | ~ spl0_109 ),
    inference(avatar_contradiction_clause,[],[f1100]) ).

fof(f1104,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_34
    | ~ spl0_136
    | ~ spl0_138 ),
    inference(forward_subsumption_resolution,[],[f1091,f827]) ).

fof(f1105,plain,
    ( ~ spl0_17
    | ~ spl0_34
    | ~ spl0_136
    | ~ spl0_138 ),
    inference(avatar_contradiction_clause,[],[f1104]) ).

fof(f1110,plain,
    ( ~ c0_1(a473)
    | ~ c1_1(a473)
    | ~ spl0_6
    | ~ spl0_142 ),
    inference(resolution,[],[f196,f847]) ).

fof(f1114,plain,
    ( ~ c0_1(a492)
    | ~ c1_1(a492)
    | ~ spl0_6
    | ~ spl0_121 ),
    inference(resolution,[],[f196,f742]) ).

fof(f1121,plain,
    ( ~ c0_1(a492)
    | ~ spl0_6
    | ~ spl0_121
    | ~ spl0_122 ),
    inference(forward_subsumption_resolution,[],[f1114,f747]) ).

fof(f1123,plain,
    ( ~ c1_1(a473)
    | ~ spl0_6
    | ~ spl0_142
    | ~ spl0_144 ),
    inference(forward_subsumption_resolution,[],[f1110,f857]) ).

fof(f1127,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_4
    | ~ spl0_38 ),
    inference(forward_subsumption_resolution,[],[f323,f189]) ).

fof(f1133,plain,
    ( c2_1(a524)
    | ~ c0_1(a524)
    | ~ spl0_4
    | ~ spl0_132 ),
    inference(resolution,[],[f797,f189]) ).

fof(f1142,plain,
    ( c2_1(a465)
    | ~ spl0_12
    | ~ spl0_46
    | spl0_62 ),
    inference(resolution,[],[f1032,f450]) ).

fof(f1146,plain,
    ( c0_1(a466)
    | ~ spl0_8
    | ~ spl0_105
    | ~ spl0_106 ),
    inference(forward_subsumption_resolution,[],[f1046,f667]) ).

fof(f1165,plain,
    ( spl0_63
    | ~ spl0_12
    | ~ spl0_46
    | spl0_62 ),
    inference(avatar_split_clause,[],[f1142,f448,f361,f216,f453]) ).

fof(f1166,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_25
    | ~ spl0_37 ),
    inference(forward_subsumption_resolution,[],[f271,f318]) ).

fof(f1215,plain,
    ( spl0_89
    | ~ spl0_2
    | ~ spl0_5
    | spl0_88 ),
    inference(avatar_split_clause,[],[f907,f578,f192,f181,f583]) ).

fof(f1236,plain,
    ( ~ c0_1(a488)
    | ~ spl0_25
    | ~ spl0_37
    | spl0_84 ),
    inference(resolution,[],[f1166,f560]) ).

fof(f1261,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_25 ),
    inference(forward_subsumption_resolution,[],[f271,f900]) ).

fof(f1277,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_25
    | ~ spl0_37
    | spl0_83
    | spl0_84 ),
    inference(forward_subsumption_resolution,[],[f1236,f1024]) ).

fof(f1278,plain,
    ( ~ spl0_9
    | ~ spl0_25
    | ~ spl0_37
    | spl0_83
    | spl0_84 ),
    inference(avatar_contradiction_clause,[],[f1277]) ).

fof(f1285,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_25 ),
    inference(resolution,[],[f1261,f189]) ).

fof(f1289,plain,
    ( ~ c0_1(a512)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_25
    | spl0_94 ),
    inference(resolution,[],[f1261,f610]) ).

fof(f1290,plain,
    ( ~ c0_1(a503)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_25
    | spl0_93 ),
    inference(resolution,[],[f1261,f605]) ).

fof(f1291,plain,
    ( ~ c0_1(a476)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_25
    | spl0_74 ),
    inference(resolution,[],[f1261,f510]) ).

fof(f1327,plain,
    ( c1_1(a503)
    | ~ c2_1(a503)
    | ~ spl0_10
    | ~ spl0_128 ),
    inference(resolution,[],[f210,f777]) ).

fof(f1328,plain,
    ( c1_1(a502)
    | ~ c2_1(a502)
    | ~ spl0_10
    | ~ spl0_126 ),
    inference(resolution,[],[f210,f767]) ).

fof(f1340,plain,
    ( ~ c2_1(a503)
    | ~ spl0_10
    | spl0_93
    | ~ spl0_128 ),
    inference(forward_subsumption_resolution,[],[f1327,f605]) ).

fof(f1353,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_17 ),
    inference(resolution,[],[f235,f900]) ).

fof(f1355,plain,
    ( ~ c0_1(a473)
    | ~ c2_1(a473)
    | ~ spl0_17
    | ~ spl0_142 ),
    inference(resolution,[],[f235,f847]) ).

fof(f1358,plain,
    ( ~ c0_1(a503)
    | ~ c2_1(a503)
    | ~ spl0_17
    | ~ spl0_128 ),
    inference(resolution,[],[f235,f777]) ).

fof(f1373,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_17
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[],[f1353,f296]) ).

fof(f1382,definition,
    ( spl0_148
  <=> c2_1(a494) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f1383,plain,
    ( ~ c2_1(a494)
    | spl0_148 ),
    inference(avatar_component_clause,[],[f1382]) ).

fof(f1384,plain,
    ( c2_1(a494)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f1382]) ).

fof(f1385,plain,
    ( spl0_90
    | spl0_148
    | ~ spl0_9
    | spl0_89 ),
    inference(avatar_split_clause,[],[f1018,f583,f206,f1382,f588]) ).

fof(f1388,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_13
    | ~ spl0_28 ),
    inference(forward_subsumption_resolution,[],[f221,f284]) ).

fof(f1410,plain,
    ( c0_1(a465)
    | ~ spl0_13
    | ~ spl0_28
    | spl0_62 ),
    inference(resolution,[],[f1388,f450]) ).

fof(f1432,plain,
    ( ~ c2_1(a473)
    | ~ spl0_17
    | ~ spl0_142
    | ~ spl0_144 ),
    inference(forward_subsumption_resolution,[],[f1355,f857]) ).

fof(f1435,plain,
    ( ~ c0_1(a503)
    | ~ spl0_17
    | ~ spl0_128
    | ~ spl0_129 ),
    inference(forward_subsumption_resolution,[],[f1358,f782]) ).

fof(f1451,plain,
    ( spl0_65
    | ~ spl0_8
    | ~ spl0_105
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1146,f665,f660,f202,f463]) ).

fof(f1452,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_16
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[],[f232,f296]) ).

fof(f1469,plain,
    ( c2_1(a465)
    | ~ spl0_5
    | ~ spl0_33
    | spl0_62 ),
    inference(resolution,[],[f912,f450]) ).

fof(f1472,plain,
    ( ~ c0_1(a540)
    | ~ spl0_4
    | ~ spl0_38
    | spl0_101 ),
    inference(resolution,[],[f1127,f642]) ).

fof(f1486,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_38
    | spl0_101
    | ~ spl0_135 ),
    inference(forward_subsumption_resolution,[],[f1472,f812]) ).

fof(f1487,plain,
    ( ~ spl0_4
    | ~ spl0_38
    | spl0_101
    | ~ spl0_135 ),
    inference(avatar_contradiction_clause,[],[f1486]) ).

fof(f1494,plain,
    ( ~ c2_1(a502)
    | ~ spl0_8
    | ~ spl0_10
    | spl0_92
    | ~ spl0_126 ),
    inference(forward_subsumption_resolution,[],[f1328,f1009]) ).

fof(f1497,definition,
    ( spl0_150
  <=> c2_1(a467) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f1498,plain,
    ( c2_1(a467)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f1497]) ).

fof(f1501,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_10
    | spl0_92
    | ~ spl0_126
    | ~ spl0_127 ),
    inference(forward_subsumption_resolution,[],[f1494,f772]) ).

fof(f1502,plain,
    ( ~ spl0_8
    | ~ spl0_10
    | spl0_92
    | ~ spl0_126
    | ~ spl0_127 ),
    inference(avatar_contradiction_clause,[],[f1501]) ).

fof(f1510,plain,
    ( ~ spl0_143
    | ~ spl0_6
    | ~ spl0_142
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1123,f855,f845,f195,f850]) ).

fof(f1524,plain,
    ( ~ spl0_129
    | ~ spl0_10
    | spl0_93
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1340,f775,f603,f209,f780]) ).

fof(f1525,plain,
    ( c2_1(a473)
    | ~ spl0_4
    | ~ spl0_143
    | ~ spl0_144 ),
    inference(forward_subsumption_resolution,[],[f1061,f857]) ).

fof(f1597,plain,
    ( ~ c2_1(a503)
    | ~ spl0_16
    | ~ spl0_31
    | spl0_93 ),
    inference(resolution,[],[f1452,f605]) ).

fof(f1598,plain,
    ( ~ c2_1(a476)
    | ~ spl0_16
    | ~ spl0_31
    | spl0_74 ),
    inference(resolution,[],[f1452,f510]) ).

fof(f1616,plain,
    ( c0_1(a503)
    | ~ c2_1(a503)
    | ~ spl0_1
    | ~ spl0_128 ),
    inference(resolution,[],[f179,f777]) ).

fof(f1617,plain,
    ( c0_1(a502)
    | ~ c2_1(a502)
    | ~ spl0_1
    | ~ spl0_126 ),
    inference(resolution,[],[f179,f767]) ).

fof(f1621,plain,
    ( c0_1(a467)
    | ~ c2_1(a467)
    | ~ spl0_1
    | ~ spl0_107 ),
    inference(resolution,[],[f179,f672]) ).

fof(f1626,plain,
    ( ~ c2_1(a502)
    | ~ spl0_1
    | spl0_92
    | ~ spl0_126 ),
    inference(forward_subsumption_resolution,[],[f1617,f600]) ).

fof(f1629,plain,
    ( $false
    | ~ spl0_1
    | spl0_92
    | ~ spl0_126
    | ~ spl0_127 ),
    inference(forward_subsumption_resolution,[],[f1626,f772]) ).

fof(f1630,plain,
    ( ~ spl0_1
    | spl0_92
    | ~ spl0_126
    | ~ spl0_127 ),
    inference(avatar_contradiction_clause,[],[f1629]) ).

fof(f1631,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f182,f210]) ).

fof(f1632,plain,
    ( c2_1(a475)
    | ~ spl0_4
    | ~ spl0_112
    | ~ spl0_113 ),
    inference(forward_subsumption_resolution,[],[f1001,f702]) ).

fof(f1638,plain,
    ( ~ c2_1(a476)
    | ~ spl0_2
    | ~ spl0_10
    | spl0_74 ),
    inference(resolution,[],[f1631,f510]) ).

fof(f1648,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_10
    | spl0_74
    | ~ spl0_114 ),
    inference(forward_subsumption_resolution,[],[f1638,f707]) ).

fof(f1649,plain,
    ( ~ spl0_2
    | ~ spl0_10
    | spl0_74
    | ~ spl0_114 ),
    inference(avatar_contradiction_clause,[],[f1648]) ).

fof(f1674,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_12
    | ~ spl0_34 ),
    inference(forward_subsumption_resolution,[],[f307,f217]) ).

fof(f1735,plain,
    ( ~ c0_1(a468)
    | ~ spl0_12
    | ~ spl0_34
    | spl0_68 ),
    inference(resolution,[],[f1674,f480]) ).

fof(f1838,plain,
    ( c1_1(a533)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_98 ),
    inference(resolution,[],[f900,f628]) ).

fof(f1847,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | spl0_98
    | spl0_99 ),
    inference(forward_subsumption_resolution,[],[f1838,f633]) ).

fof(f1848,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_98
    | spl0_99 ),
    inference(avatar_contradiction_clause,[],[f1847]) ).

fof(f1858,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_17
    | ~ spl0_142
    | ~ spl0_143
    | ~ spl0_144 ),
    inference(forward_subsumption_resolution,[],[f1432,f1525]) ).

fof(f1859,plain,
    ( ~ spl0_4
    | ~ spl0_17
    | ~ spl0_142
    | ~ spl0_143
    | ~ spl0_144 ),
    inference(avatar_contradiction_clause,[],[f1858]) ).

fof(f1873,plain,
    ( spl0_80
    | ~ spl0_9
    | spl0_78
    | spl0_79 ),
    inference(avatar_split_clause,[],[f1023,f533,f528,f206,f538]) ).

fof(f1880,plain,
    ( ~ spl0_115
    | ~ spl0_11
    | ~ spl0_17
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f928,f705,f234,f212,f710]) ).

fof(f1886,plain,
    ( ~ c0_1(a524)
    | ~ spl0_4
    | spl0_96
    | ~ spl0_132 ),
    inference(forward_subsumption_resolution,[],[f1133,f619]) ).

fof(f1903,plain,
    ( ~ c2_1(a467)
    | ~ spl0_1
    | spl0_67
    | ~ spl0_107 ),
    inference(forward_subsumption_resolution,[],[f1621,f475]) ).

fof(f1904,plain,
    ( $false
    | ~ spl0_1
    | spl0_67
    | ~ spl0_107
    | ~ spl0_150 ),
    inference(forward_subsumption_resolution,[],[f1903,f1498]) ).

fof(f1905,plain,
    ( ~ spl0_1
    | spl0_67
    | ~ spl0_107
    | ~ spl0_150 ),
    inference(avatar_contradiction_clause,[],[f1904]) ).

fof(f1948,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_40
    | ~ spl0_44 ),
    inference(forward_subsumption_resolution,[],[f333,f352]) ).

fof(f1957,plain,
    ( ~ c1_1(a466)
    | ~ spl0_40
    | ~ spl0_44
    | ~ spl0_105 ),
    inference(resolution,[],[f1948,f662]) ).

fof(f1958,plain,
    ( $false
    | ~ spl0_40
    | ~ spl0_44
    | ~ spl0_105
    | ~ spl0_106 ),
    inference(forward_subsumption_resolution,[],[f1957,f667]) ).

fof(f1959,plain,
    ( ~ spl0_40
    | ~ spl0_44
    | ~ spl0_105
    | ~ spl0_106 ),
    inference(avatar_contradiction_clause,[],[f1958]) ).

fof(f1973,plain,
    ( ~ c2_1(a471)
    | c1_1(a471)
    | ~ spl0_2
    | spl0_69 ),
    inference(resolution,[],[f182,f485]) ).

fof(f1980,plain,
    ( c1_1(a471)
    | ~ spl0_2
    | spl0_69
    | ~ spl0_110 ),
    inference(forward_subsumption_resolution,[],[f1973,f687]) ).

fof(f1989,plain,
    ( $false
    | ~ spl0_2
    | spl0_69
    | spl0_70
    | ~ spl0_110 ),
    inference(forward_subsumption_resolution,[],[f1980,f490]) ).

fof(f1990,plain,
    ( ~ spl0_2
    | spl0_69
    | spl0_70
    | ~ spl0_110 ),
    inference(avatar_contradiction_clause,[],[f1989]) ).

fof(f1991,plain,
    ( c0_1(a503)
    | ~ spl0_1
    | ~ spl0_128
    | ~ spl0_129 ),
    inference(forward_subsumption_resolution,[],[f1616,f782]) ).

fof(f2018,plain,
    ( ~ c0_1(a460)
    | c2_1(a460)
    | ~ spl0_12
    | spl0_58 ),
    inference(resolution,[],[f217,f430]) ).

fof(f2020,plain,
    ( ~ c0_1(a488)
    | c2_1(a488)
    | ~ spl0_12
    | spl0_82 ),
    inference(resolution,[],[f217,f550]) ).

fof(f2022,plain,
    ( c2_1(a488)
    | ~ spl0_9
    | ~ spl0_12
    | spl0_82
    | spl0_83
    | spl0_84 ),
    inference(forward_subsumption_resolution,[],[f2020,f1024]) ).

fof(f2024,plain,
    ( c2_1(a460)
    | ~ spl0_12
    | spl0_58
    | ~ spl0_103 ),
    inference(forward_subsumption_resolution,[],[f2018,f652]) ).

fof(f2027,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_12
    | spl0_82
    | spl0_83
    | spl0_84 ),
    inference(forward_subsumption_resolution,[],[f2022,f555]) ).

fof(f2028,plain,
    ( ~ spl0_9
    | ~ spl0_12
    | spl0_82
    | spl0_83
    | spl0_84 ),
    inference(avatar_contradiction_clause,[],[f2027]) ).

fof(f2037,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_25 ),
    inference(duplicate_literal_removal,[],[f1285]) ).

fof(f2039,plain,
    ( ~ spl0_131
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_25
    | spl0_94 ),
    inference(avatar_split_clause,[],[f1289,f608,f270,f192,f181,f790]) ).

fof(f2040,plain,
    ( ~ spl0_115
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_25
    | spl0_74 ),
    inference(avatar_split_clause,[],[f1291,f508,f270,f192,f181,f710]) ).

fof(f2054,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_25
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[],[f288,f2037]) ).

fof(f2057,plain,
    ( ~ spl0_109
    | ~ spl0_12
    | ~ spl0_34
    | spl0_68 ),
    inference(avatar_split_clause,[],[f1735,f478,f306,f216,f680]) ).

fof(f2107,plain,
    ( c2_1(a468)
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_25
    | ~ spl0_29
    | ~ spl0_108 ),
    inference(resolution,[],[f2054,f677]) ).

fof(f2111,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_25
    | ~ spl0_29
    | spl0_68
    | ~ spl0_108 ),
    inference(forward_subsumption_resolution,[],[f2107,f480]) ).

fof(f2112,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_25
    | ~ spl0_29
    | spl0_68
    | ~ spl0_108 ),
    inference(avatar_contradiction_clause,[],[f2111]) ).

fof(f2142,plain,
    ( c0_1(a494)
    | c1_1(a494)
    | ~ spl0_13
    | spl0_88 ),
    inference(resolution,[],[f221,f580]) ).

fof(f2198,plain,
    ( ~ c2_1(a478)
    | c0_1(a478)
    | ~ spl0_56
    | spl0_76 ),
    inference(resolution,[],[f418,f520]) ).

fof(f2207,plain,
    ( c0_1(a478)
    | ~ spl0_56
    | spl0_76
    | ~ spl0_118 ),
    inference(forward_subsumption_resolution,[],[f2198,f727]) ).

fof(f2221,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_25
    | spl0_93
    | ~ spl0_128
    | ~ spl0_129 ),
    inference(forward_subsumption_resolution,[],[f1991,f1290]) ).

fof(f2222,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_25
    | spl0_93
    | ~ spl0_128
    | ~ spl0_129 ),
    inference(avatar_contradiction_clause,[],[f2221]) ).

fof(f2226,plain,
    ( spl0_64
    | ~ spl0_13
    | ~ spl0_28
    | spl0_62 ),
    inference(avatar_split_clause,[],[f1410,f448,f283,f220,f458]) ).

fof(f2234,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_31
    | spl0_93
    | ~ spl0_129 ),
    inference(forward_subsumption_resolution,[],[f1597,f782]) ).

fof(f2235,plain,
    ( ~ spl0_16
    | ~ spl0_31
    | spl0_93
    | ~ spl0_129 ),
    inference(avatar_contradiction_clause,[],[f2234]) ).

fof(f2236,plain,
    ( ~ spl0_114
    | ~ spl0_16
    | ~ spl0_31
    | spl0_74 ),
    inference(avatar_split_clause,[],[f1598,f508,f295,f231,f705]) ).

fof(f2243,plain,
    ( spl0_63
    | ~ spl0_5
    | ~ spl0_33
    | spl0_62 ),
    inference(avatar_split_clause,[],[f1469,f448,f303,f192,f453]) ).

fof(f2319,plain,
    ( ~ c1_1(a470)
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_139 ),
    inference(resolution,[],[f941,f832]) ).

fof(f2327,plain,
    ( ~ c1_1(a466)
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_105 ),
    inference(resolution,[],[f941,f662]) ).

fof(f2328,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_139
    | ~ spl0_141 ),
    inference(forward_subsumption_resolution,[],[f2319,f842]) ).

fof(f2329,plain,
    ( ~ spl0_6
    | ~ spl0_8
    | ~ spl0_139
    | ~ spl0_141 ),
    inference(avatar_contradiction_clause,[],[f2328]) ).

fof(f2332,plain,
    ( spl0_59
    | ~ spl0_12
    | spl0_58
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f2024,f650,f428,f216,f433]) ).

fof(f2341,plain,
    ( spl0_77
    | ~ spl0_56
    | spl0_76
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f2207,f725,f518,f417,f523]) ).

fof(f2459,plain,
    ( c2_1(a492)
    | c0_1(a492)
    | ~ spl0_7
    | ~ spl0_122 ),
    inference(resolution,[],[f200,f747]) ).

fof(f2510,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_29 ),
    inference(resolution,[],[f288,f900]) ).

fof(f2569,plain,
    ( ~ c2_1(a503)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_17
    | ~ spl0_31
    | spl0_93 ),
    inference(resolution,[],[f1373,f605]) ).

fof(f2585,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_17
    | ~ spl0_31
    | spl0_93
    | ~ spl0_129 ),
    inference(forward_subsumption_resolution,[],[f2569,f782]) ).

fof(f2586,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_17
    | ~ spl0_31
    | spl0_93
    | ~ spl0_129 ),
    inference(avatar_contradiction_clause,[],[f2585]) ).

fof(f2593,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[],[f207,f200]) ).

fof(f2685,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_17
    | ~ spl0_128
    | ~ spl0_129 ),
    inference(forward_subsumption_resolution,[],[f1991,f1435]) ).

fof(f2686,plain,
    ( ~ spl0_1
    | ~ spl0_17
    | ~ spl0_128
    | ~ spl0_129 ),
    inference(avatar_contradiction_clause,[],[f2685]) ).

fof(f2708,plain,
    ( ~ spl0_106
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f2327,f660,f202,f195,f665]) ).

fof(f2711,plain,
    ( spl0_9
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f2510,f287,f192,f181,f206]) ).

fof(f2722,plain,
    ( ~ spl0_133
    | ~ spl0_4
    | spl0_96
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1886,f795,f617,f188,f800]) ).

fof(f2730,plain,
    ( c1_1(a494)
    | ~ spl0_13
    | spl0_88
    | spl0_90 ),
    inference(forward_subsumption_resolution,[],[f2142,f590]) ).

fof(f2760,plain,
    ( c1_1(a494)
    | c2_1(a494)
    | ~ spl0_5
    | spl0_88 ),
    inference(resolution,[],[f193,f580]) ).

fof(f2761,plain,
    ( c1_1(a488)
    | c2_1(a488)
    | ~ spl0_5
    | spl0_82 ),
    inference(resolution,[],[f193,f550]) ).

fof(f2764,plain,
    ( c2_1(a494)
    | ~ spl0_5
    | spl0_88
    | spl0_89 ),
    inference(forward_subsumption_resolution,[],[f2760,f585]) ).

fof(f2766,plain,
    ( $false
    | ~ spl0_5
    | spl0_88
    | spl0_89
    | spl0_148 ),
    inference(forward_subsumption_resolution,[],[f2764,f1383]) ).

fof(f2767,plain,
    ( ~ spl0_5
    | spl0_88
    | spl0_89
    | spl0_148 ),
    inference(avatar_contradiction_clause,[],[f2766]) ).

fof(f2784,plain,
    ( ~ c0_1(a475)
    | ~ c2_1(a475)
    | ~ spl0_11
    | spl0_73 ),
    inference(resolution,[],[f213,f505]) ).

fof(f2791,plain,
    ( ~ c2_1(a475)
    | ~ spl0_11
    | spl0_73
    | ~ spl0_113 ),
    inference(forward_subsumption_resolution,[],[f2784,f702]) ).

fof(f2796,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_11
    | spl0_73
    | ~ spl0_112
    | ~ spl0_113 ),
    inference(forward_subsumption_resolution,[],[f2791,f1632]) ).

fof(f2797,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | spl0_73
    | ~ spl0_112
    | ~ spl0_113 ),
    inference(avatar_contradiction_clause,[],[f2796]) ).

fof(f2806,plain,
    ( c2_1(a488)
    | ~ spl0_5
    | spl0_82
    | spl0_84 ),
    inference(forward_subsumption_resolution,[],[f2761,f560]) ).

fof(f2809,plain,
    ( $false
    | ~ spl0_5
    | spl0_82
    | spl0_83
    | spl0_84 ),
    inference(forward_subsumption_resolution,[],[f2806,f555]) ).

fof(f2810,plain,
    ( ~ spl0_5
    | spl0_82
    | spl0_83
    | spl0_84 ),
    inference(avatar_contradiction_clause,[],[f2809]) ).

fof(f2848,plain,
    ( ~ c2_1(a463)
    | c0_1(a463)
    | ~ spl0_31
    | spl0_60 ),
    inference(resolution,[],[f296,f440]) ).

fof(f2849,plain,
    ( ~ c2_1(a494)
    | c0_1(a494)
    | ~ spl0_31
    | spl0_89 ),
    inference(resolution,[],[f296,f585]) ).

fof(f2854,plain,
    ( c0_1(a494)
    | ~ spl0_31
    | spl0_89
    | ~ spl0_148 ),
    inference(forward_subsumption_resolution,[],[f2849,f1384]) ).

fof(f2855,plain,
    ( c0_1(a463)
    | ~ spl0_31
    | spl0_60
    | ~ spl0_104 ),
    inference(forward_subsumption_resolution,[],[f2848,f657]) ).

fof(f2865,plain,
    ( $false
    | ~ spl0_31
    | spl0_89
    | spl0_90
    | ~ spl0_148 ),
    inference(forward_subsumption_resolution,[],[f2854,f590]) ).

fof(f2866,plain,
    ( ~ spl0_31
    | spl0_89
    | spl0_90
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f2865]) ).

fof(f2867,plain,
    ( $false
    | ~ spl0_31
    | spl0_60
    | spl0_61
    | ~ spl0_104 ),
    inference(forward_subsumption_resolution,[],[f2855,f445]) ).

fof(f2868,plain,
    ( ~ spl0_31
    | spl0_60
    | spl0_61
    | ~ spl0_104 ),
    inference(avatar_contradiction_clause,[],[f2867]) ).

fof(f2891,plain,
    ( c0_1(a492)
    | ~ spl0_7
    | spl0_85
    | ~ spl0_122 ),
    inference(forward_subsumption_resolution,[],[f2459,f565]) ).

fof(f2898,plain,
    ( spl0_150
    | ~ spl0_9
    | spl0_66
    | spl0_67 ),
    inference(avatar_split_clause,[],[f1025,f473,f468,f206,f1497]) ).

fof(f2901,plain,
    ( spl0_84
    | ~ spl0_13
    | ~ spl0_37
    | spl0_82 ),
    inference(avatar_split_clause,[],[f948,f548,f317,f220,f558]) ).

fof(f2905,plain,
    ( spl0_89
    | ~ spl0_13
    | spl0_88
    | spl0_90 ),
    inference(avatar_split_clause,[],[f2730,f588,f578,f220,f583]) ).

fof(f2938,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_7
    | spl0_85
    | ~ spl0_121
    | ~ spl0_122 ),
    inference(forward_subsumption_resolution,[],[f2891,f1121]) ).

fof(f2939,plain,
    ( ~ spl0_6
    | ~ spl0_7
    | spl0_85
    | ~ spl0_121
    | ~ spl0_122 ),
    inference(avatar_contradiction_clause,[],[f2938]) ).

fof(f3060,plain,
    ( c0_1(a465)
    | ~ spl0_7
    | ~ spl0_9
    | spl0_63 ),
    inference(resolution,[],[f2593,f455]) ).

fof(f3061,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_9
    | spl0_63
    | spl0_64 ),
    inference(forward_subsumption_resolution,[],[f3060,f460]) ).

fof(f3062,plain,
    ( ~ spl0_7
    | ~ spl0_9
    | spl0_63
    | spl0_64 ),
    inference(avatar_contradiction_clause,[],[f3061]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f190]) ).

cnf(s2,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_5
    | spl0_6 ),
    inference(sat_conversion,[],[f197]) ).

cnf(s3,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_7
    | spl0_8 ),
    inference(sat_conversion,[],[f204]) ).

cnf(s4,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_10
    | spl0_11 ),
    inference(sat_conversion,[],[f214]) ).

cnf(s5,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_9
    | spl0_12 ),
    inference(sat_conversion,[],[f218]) ).

cnf(s6,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_13
    | spl0_14 ),
    inference(sat_conversion,[],[f225]) ).

cnf(s7,plain,
    ( ~ spl0_3
    | spl0_15
    | spl0_16
    | spl0_17 ),
    inference(sat_conversion,[],[f236]) ).

cnf(s9,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_17
    | spl0_20 ),
    inference(sat_conversion,[],[f249]) ).

cnf(s11,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_12
    | spl0_22 ),
    inference(sat_conversion,[],[f259]) ).

cnf(s15,plain,
    ( ~ spl0_3
    | spl0_17
    | spl0_27
    | spl0_28 ),
    inference(sat_conversion,[],[f285]) ).

cnf(s17,plain,
    ( ~ spl0_3
    | spl0_17
    | spl0_30
    | spl0_31 ),
    inference(sat_conversion,[],[f297]) ).

cnf(s18,plain,
    ( ~ spl0_3
    | spl0_32
    | spl0_33
    | spl0_34 ),
    inference(sat_conversion,[],[f308]) ).

cnf(s22,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_24
    | spl0_29 ),
    inference(sat_conversion,[],[f325]) ).

cnf(s23,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_10
    | spl0_26 ),
    inference(sat_conversion,[],[f326]) ).

cnf(s24,plain,
    ( ~ spl0_3
    | spl0_13
    | spl0_39
    | spl0_40 ),
    inference(sat_conversion,[],[f334]) ).

cnf(s26,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_37
    | spl0_42 ),
    inference(sat_conversion,[],[f344]) ).

cnf(s28,plain,
    ( ~ spl0_3
    | spl0_13
    | spl0_39
    | spl0_44 ),
    inference(sat_conversion,[],[f353]) ).

cnf(s33,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_31
    | spl0_48 ),
    inference(sat_conversion,[],[f373]) ).

cnf(s35,plain,
    ( ~ spl0_3
    | spl0_13
    | spl0_46
    | spl0_48 ),
    inference(sat_conversion,[],[f379]) ).

cnf(s38,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_45
    | spl0_50 ),
    inference(sat_conversion,[],[f386]) ).

cnf(s40,plain,
    ( ~ spl0_3
    | spl0_22
    | spl0_25
    | spl0_42 ),
    inference(sat_conversion,[],[f396]) ).

cnf(s43,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_20
    | spl0_42 ),
    inference(sat_conversion,[],[f399]) ).

cnf(s44,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_51
    | spl0_53 ),
    inference(sat_conversion,[],[f404]) ).

cnf(s48,plain,
    ( ~ spl0_3
    | spl0_15
    | spl0_38
    | spl0_54 ),
    inference(sat_conversion,[],[f415]) ).

cnf(s49,plain,
    ( ~ spl0_3
    | spl0_42
    | spl0_48
    | spl0_56 ),
    inference(sat_conversion,[],[f419]) ).

cnf(s50,plain,
    ( ~ spl0_3
    | spl0_31
    | spl0_45
    | spl0_57 ),
    inference(sat_conversion,[],[f424]) ).

cnf(s51,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_22
    | spl0_50 ),
    inference(sat_conversion,[],[f425]) ).

cnf(s52,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_23
    | spl0_48 ),
    inference(sat_conversion,[],[f426]) ).

cnf(s53,plain,
    ( ~ spl0_48
    | ~ spl0_58 ),
    inference(sat_conversion,[],[f431]) ).

cnf(s54,plain,
    ( ~ spl0_48
    | ~ spl0_59 ),
    inference(sat_conversion,[],[f436]) ).

cnf(s55,plain,
    ( ~ spl0_23
    | ~ spl0_60 ),
    inference(sat_conversion,[],[f441]) ).

cnf(s56,plain,
    ( ~ spl0_23
    | ~ spl0_61 ),
    inference(sat_conversion,[],[f446]) ).

cnf(s57,plain,
    ( ~ spl0_45
    | ~ spl0_62 ),
    inference(sat_conversion,[],[f451]) ).

cnf(s58,plain,
    ( ~ spl0_45
    | ~ spl0_63 ),
    inference(sat_conversion,[],[f456]) ).

cnf(s59,plain,
    ( ~ spl0_45
    | ~ spl0_64 ),
    inference(sat_conversion,[],[f461]) ).

cnf(s60,plain,
    ( ~ spl0_22
    | ~ spl0_65 ),
    inference(sat_conversion,[],[f466]) ).

cnf(s61,plain,
    ( ~ spl0_39
    | ~ spl0_66 ),
    inference(sat_conversion,[],[f471]) ).

cnf(s62,plain,
    ( ~ spl0_39
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f476]) ).

cnf(s63,plain,
    ( ~ spl0_41
    | ~ spl0_68 ),
    inference(sat_conversion,[],[f481]) ).

cnf(s64,plain,
    ( ~ spl0_57
    | ~ spl0_69 ),
    inference(sat_conversion,[],[f486]) ).

cnf(s65,plain,
    ( ~ spl0_57
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f491]) ).

cnf(s68,plain,
    ( ~ spl0_26
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f506]) ).

cnf(s69,plain,
    ( ~ spl0_24
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f511]) ).

cnf(s71,plain,
    ( ~ spl0_27
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f521]) ).

cnf(s72,plain,
    ( ~ spl0_27
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f526]) ).

cnf(s73,plain,
    ( ~ spl0_42
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f531]) ).

cnf(s74,plain,
    ( ~ spl0_42
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f536]) ).

cnf(s75,plain,
    ( ~ spl0_42
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f541]) ).

cnf(s77,plain,
    ( ~ spl0_20
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f551]) ).

cnf(s78,plain,
    ( ~ spl0_20
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f556]) ).

cnf(s79,plain,
    ( ~ spl0_20
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f561]) ).

cnf(s80,plain,
    ( ~ spl0_50
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f566]) ).

cnf(s81,plain,
    ( ~ spl0_54
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f571]) ).

cnf(s83,plain,
    ( ~ spl0_15
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f581]) ).

cnf(s84,plain,
    ( ~ spl0_15
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f586]) ).

cnf(s85,plain,
    ( ~ spl0_15
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f591]) ).

cnf(s87,plain,
    ( ~ spl0_53
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f601]) ).

cnf(s88,plain,
    ( ~ spl0_51
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f606]) ).

cnf(s89,plain,
    ( ~ spl0_32
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f611]) ).

cnf(s90,plain,
    ( ~ spl0_95
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f620]) ).

cnf(s91,plain,
    ( ~ spl0_97
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f629]) ).

cnf(s92,plain,
    ( ~ spl0_97
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f634]) ).

cnf(s93,plain,
    ( ~ spl0_100
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f643]) ).

cnf(s95,plain,
    ( ~ spl0_48
    | spl0_103 ),
    inference(sat_conversion,[],[f653]) ).

cnf(s96,plain,
    ( ~ spl0_23
    | spl0_104 ),
    inference(sat_conversion,[],[f658]) ).

cnf(s97,plain,
    ( ~ spl0_22
    | spl0_105 ),
    inference(sat_conversion,[],[f663]) ).

cnf(s98,plain,
    ( ~ spl0_22
    | spl0_106 ),
    inference(sat_conversion,[],[f668]) ).

cnf(s99,plain,
    ( ~ spl0_39
    | spl0_107 ),
    inference(sat_conversion,[],[f673]) ).

cnf(s100,plain,
    ( ~ spl0_41
    | spl0_108 ),
    inference(sat_conversion,[],[f678]) ).

cnf(s101,plain,
    ( ~ spl0_41
    | spl0_109 ),
    inference(sat_conversion,[],[f683]) ).

cnf(s102,plain,
    ( ~ spl0_57
    | spl0_110 ),
    inference(sat_conversion,[],[f688]) ).

cnf(s104,plain,
    ( ~ spl0_26
    | spl0_112 ),
    inference(sat_conversion,[],[f698]) ).

cnf(s105,plain,
    ( ~ spl0_26
    | spl0_113 ),
    inference(sat_conversion,[],[f703]) ).

cnf(s106,plain,
    ( ~ spl0_24
    | spl0_114 ),
    inference(sat_conversion,[],[f708]) ).

cnf(s107,plain,
    ( ~ spl0_24
    | spl0_115 ),
    inference(sat_conversion,[],[f713]) ).

cnf(s110,plain,
    ( ~ spl0_27
    | spl0_118 ),
    inference(sat_conversion,[],[f728]) ).

cnf(s113,plain,
    ( ~ spl0_50
    | spl0_121 ),
    inference(sat_conversion,[],[f743]) ).

cnf(s114,plain,
    ( ~ spl0_50
    | spl0_122 ),
    inference(sat_conversion,[],[f748]) ).

cnf(s115,plain,
    ( ~ spl0_54
    | spl0_123 ),
    inference(sat_conversion,[],[f753]) ).

cnf(s118,plain,
    ( ~ spl0_53
    | spl0_126 ),
    inference(sat_conversion,[],[f768]) ).

cnf(s119,plain,
    ( ~ spl0_53
    | spl0_127 ),
    inference(sat_conversion,[],[f773]) ).

cnf(s120,plain,
    ( ~ spl0_51
    | spl0_128 ),
    inference(sat_conversion,[],[f778]) ).

cnf(s121,plain,
    ( ~ spl0_51
    | spl0_129 ),
    inference(sat_conversion,[],[f783]) ).

cnf(s123,plain,
    ( ~ spl0_32
    | spl0_131 ),
    inference(sat_conversion,[],[f793]) ).

cnf(s124,plain,
    ( ~ spl0_95
    | spl0_132 ),
    inference(sat_conversion,[],[f798]) ).

cnf(s125,plain,
    ( ~ spl0_95
    | spl0_133 ),
    inference(sat_conversion,[],[f803]) ).

cnf(s127,plain,
    ( ~ spl0_100
    | spl0_135 ),
    inference(sat_conversion,[],[f813]) ).

cnf(s128,plain,
    ( ~ spl0_47
    | spl0_136 ),
    inference(sat_conversion,[],[f818]) ).

cnf(s130,plain,
    ( ~ spl0_47
    | spl0_138 ),
    inference(sat_conversion,[],[f828]) ).

cnf(s131,plain,
    ( ~ spl0_30
    | spl0_139 ),
    inference(sat_conversion,[],[f833]) ).

cnf(s133,plain,
    ( ~ spl0_30
    | spl0_141 ),
    inference(sat_conversion,[],[f843]) ).

cnf(s134,plain,
    ( ~ spl0_49
    | spl0_142 ),
    inference(sat_conversion,[],[f848]) ).

cnf(s135,plain,
    ( ~ spl0_49
    | spl0_143 ),
    inference(sat_conversion,[],[f853]) ).

cnf(s136,plain,
    ( ~ spl0_49
    | spl0_144 ),
    inference(sat_conversion,[],[f858]) ).

cnf(s140,plain,
    ( spl0_42
    | spl0_51
    | spl0_57 ),
    inference(sat_conversion,[],[f874]) ).

cnf(s141,plain,
    ( spl0_50
    | spl0_54
    | spl0_100 ),
    inference(sat_conversion,[],[f875]) ).

cnf(s143,plain,
    ( spl0_24
    | spl0_51
    | spl0_97 ),
    inference(sat_conversion,[],[f877]) ).

cnf(s144,plain,
    ( spl0_20
    | spl0_41
    | spl0_47 ),
    inference(sat_conversion,[],[f878]) ).

cnf(s145,plain,
    ( spl0_26
    | spl0_50
    | spl0_54 ),
    inference(sat_conversion,[],[f879]) ).

cnf(s146,plain,
    ( spl0_15
    | spl0_49
    | spl0_95 ),
    inference(sat_conversion,[],[f880]) ).

cnf(s157,plain,
    ( spl0_3
    | ~ spl0_15 ),
    inference(sat_conversion,[],[f891]) ).

cnf(s160,plain,
    ( spl0_3
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f894]) ).

cnf(s164,plain,
    ( spl0_3
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f898]) ).

cnf(s165,plain,
    ( spl0_27
    | spl0_41 ),
    inference(sat_conversion,[],[f899]) ).

cnf(s168,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | spl0_85
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f915]) ).

cnf(s169,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | spl0_86
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f918]) ).

cnf(s183,plain,
    ( ~ spl0_6
    | ~ spl0_8
    | ~ spl0_121
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f989]) ).

cnf(s187,plain,
    ( ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | spl0_58
    | spl0_59 ),
    inference(sat_conversion,[],[f1042]) ).

cnf(s192,plain,
    ( ~ spl0_1
    | ~ spl0_17
    | ~ spl0_126
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f1077]) ).

cnf(s194,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | ~ spl0_14
    | spl0_73
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f1087]) ).

cnf(s196,plain,
    ( ~ spl0_17
    | ~ spl0_34
    | ~ spl0_108
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f1101]) ).

cnf(s198,plain,
    ( ~ spl0_17
    | ~ spl0_34
    | ~ spl0_136
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f1105]) ).

cnf(s206,plain,
    ( ~ spl0_12
    | ~ spl0_46
    | spl0_62
    | spl0_63 ),
    inference(sat_conversion,[],[f1165]) ).

cnf(s216,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_88
    | spl0_89 ),
    inference(sat_conversion,[],[f1215]) ).

cnf(s234,plain,
    ( ~ spl0_9
    | ~ spl0_25
    | ~ spl0_37
    | spl0_83
    | spl0_84 ),
    inference(sat_conversion,[],[f1278]) ).

cnf(s251,plain,
    ( ~ spl0_9
    | spl0_89
    | spl0_90
    | spl0_148 ),
    inference(sat_conversion,[],[f1385]) ).

cnf(s270,plain,
    ( ~ spl0_8
    | spl0_65
    | ~ spl0_105
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f1451]) ).

cnf(s275,plain,
    ( ~ spl0_4
    | ~ spl0_38
    | spl0_101
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f1487]) ).

cnf(s278,plain,
    ( ~ spl0_8
    | ~ spl0_10
    | spl0_92
    | ~ spl0_126
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f1502]) ).

cnf(s280,plain,
    ( ~ spl0_6
    | ~ spl0_142
    | ~ spl0_143
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f1510]) ).

cnf(s287,plain,
    ( ~ spl0_10
    | spl0_93
    | ~ spl0_128
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f1524]) ).

cnf(s309,plain,
    ( ~ spl0_1
    | spl0_92
    | ~ spl0_126
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f1630]) ).

cnf(s312,plain,
    ( ~ spl0_2
    | ~ spl0_10
    | spl0_74
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f1649]) ).

cnf(s363,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_98
    | spl0_99 ),
    inference(sat_conversion,[],[f1848]) ).

cnf(s366,plain,
    ( ~ spl0_4
    | ~ spl0_17
    | ~ spl0_142
    | ~ spl0_143
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f1859]) ).

cnf(s371,plain,
    ( ~ spl0_9
    | spl0_78
    | spl0_79
    | spl0_80 ),
    inference(sat_conversion,[],[f1873]) ).

cnf(s374,plain,
    ( ~ spl0_11
    | ~ spl0_17
    | ~ spl0_114
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f1880]) ).

cnf(s379,plain,
    ( ~ spl0_1
    | spl0_67
    | ~ spl0_107
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f1905]) ).

cnf(s387,plain,
    ( ~ spl0_40
    | ~ spl0_44
    | ~ spl0_105
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f1959]) ).

cnf(s391,plain,
    ( ~ spl0_2
    | spl0_69
    | spl0_70
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f1990]) ).

cnf(s392,plain,
    ( ~ spl0_9
    | ~ spl0_12
    | spl0_82
    | spl0_83
    | spl0_84 ),
    inference(sat_conversion,[],[f2028]) ).

cnf(s399,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_25
    | spl0_94
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f2039]) ).

cnf(s400,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_25
    | spl0_74
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f2040]) ).

cnf(s412,plain,
    ( ~ spl0_12
    | ~ spl0_34
    | spl0_68
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f2057]) ).

cnf(s418,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_25
    | ~ spl0_29
    | spl0_68
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f2112]) ).

cnf(s426,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_25
    | spl0_93
    | ~ spl0_128
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f2222]) ).

cnf(s429,plain,
    ( ~ spl0_13
    | ~ spl0_28
    | spl0_62
    | spl0_64 ),
    inference(sat_conversion,[],[f2226]) ).

cnf(s437,plain,
    ( ~ spl0_16
    | ~ spl0_31
    | spl0_93
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f2235]) ).

cnf(s438,plain,
    ( ~ spl0_16
    | ~ spl0_31
    | spl0_74
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f2236]) ).

cnf(s444,plain,
    ( ~ spl0_5
    | ~ spl0_33
    | spl0_62
    | spl0_63 ),
    inference(sat_conversion,[],[f2243]) ).

cnf(s464,plain,
    ( ~ spl0_6
    | ~ spl0_8
    | ~ spl0_139
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f2329]) ).

cnf(s465,plain,
    ( ~ spl0_12
    | spl0_58
    | spl0_59
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f2332]) ).

cnf(s468,plain,
    ( ~ spl0_56
    | spl0_76
    | spl0_77
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f2341]) ).

cnf(s513,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_17
    | ~ spl0_31
    | spl0_93
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f2586]) ).

cnf(s552,plain,
    ( ~ spl0_1
    | ~ spl0_17
    | ~ spl0_128
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f2686]) ).

cnf(s562,plain,
    ( ~ spl0_6
    | ~ spl0_8
    | ~ spl0_105
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f2708]) ).

cnf(s566,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_9
    | ~ spl0_29 ),
    inference(sat_conversion,[],[f2711]) ).

cnf(s568,plain,
    ( ~ spl0_4
    | spl0_96
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f2722]) ).

cnf(s571,plain,
    ( ~ spl0_5
    | spl0_88
    | spl0_89
    | spl0_148 ),
    inference(sat_conversion,[],[f2767]) ).

cnf(s572,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | spl0_73
    | ~ spl0_112
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f2797]) ).

cnf(s577,plain,
    ( ~ spl0_5
    | spl0_82
    | spl0_83
    | spl0_84 ),
    inference(sat_conversion,[],[f2810]) ).

cnf(s581,plain,
    ( ~ spl0_31
    | spl0_89
    | spl0_90
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f2866]) ).

cnf(s582,plain,
    ( ~ spl0_31
    | spl0_60
    | spl0_61
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f2868]) ).

cnf(s591,plain,
    ( ~ spl0_9
    | spl0_66
    | spl0_67
    | spl0_150 ),
    inference(sat_conversion,[],[f2898]) ).

cnf(s593,plain,
    ( ~ spl0_13
    | ~ spl0_37
    | spl0_82
    | spl0_84 ),
    inference(sat_conversion,[],[f2901]) ).

cnf(s596,plain,
    ( ~ spl0_13
    | spl0_88
    | spl0_89
    | spl0_90 ),
    inference(sat_conversion,[],[f2905]) ).

cnf(s606,plain,
    ( ~ spl0_6
    | ~ spl0_7
    | spl0_85
    | ~ spl0_121
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f2939]) ).

cnf(s646,plain,
    ( ~ spl0_7
    | ~ spl0_9
    | spl0_63
    | spl0_64 ),
    inference(sat_conversion,[],[f3062]) ).

cnf(s649,plain,
    spl0_3,
    inference(rat,[],[s146,s157,s160,s164]) ).

cnf(s650,plain,
    ( spl0_10
    | spl0_9
    | spl0_7
    | ~ spl0_4 ),
    inference(rat,[],[s572,s68,s104,s105,s4,s23,s649]) ).

cnf(s652,plain,
    ( ~ spl0_50
    | ~ spl0_8
    | ~ spl0_6 ),
    inference(rat,[],[s183,s113,s114]) ).

cnf(s653,plain,
    ( ~ spl0_8
    | ~ spl0_6
    | spl0_5 ),
    inference(rat,[],[s562,s97,s98,s51,s652,s649]) ).

cnf(s654,plain,
    ( ~ spl0_50
    | ~ spl0_7
    | ~ spl0_4 ),
    inference(rat,[],[s168,s80,s114]) ).

cnf(s655,plain,
    ( ~ spl0_54
    | ~ spl0_7
    | ~ spl0_4 ),
    inference(rat,[],[s169,s81,s115]) ).

cnf(s656,plain,
    ( spl0_5
    | ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s596,s83,s84,s85,s6,s48,s194,s275,s68,s104,s93,s127,s145,s141,s655,s654,s3,s653,s2,s649]) ).

cnf(s657,plain,
    ( ~ spl0_47
    | ~ spl0_34
    | ~ spl0_17 ),
    inference(rat,[],[s198,s128,s130]) ).

cnf(s658,plain,
    ( ~ spl0_34
    | spl0_20
    | ~ spl0_17 ),
    inference(rat,[],[s196,s100,s101,s144,s657]) ).

cnf(s660,plain,
    ( ~ spl0_24
    | ~ spl0_17
    | ~ spl0_11 ),
    inference(rat,[],[s374,s106,s107]) ).

cnf(s661,plain,
    ( ~ spl0_20
    | ~ spl0_5 ),
    inference(rat,[],[s577,s77,s78,s79]) ).

cnf(s665,plain,
    ( ~ spl0_95
    | ~ spl0_4 ),
    inference(rat,[],[s568,s90,s124,s125]) ).

cnf(s666,plain,
    ( ~ spl0_49
    | ~ spl0_6 ),
    inference(rat,[],[s280,s134,s135,s136]) ).

cnf(s667,plain,
    ( ~ spl0_53
    | ~ spl0_10
    | ~ spl0_8 ),
    inference(rat,[],[s278,s87,s118,s119]) ).

cnf(s668,plain,
    ( ~ spl0_10
    | ~ spl0_8
    | spl0_2 ),
    inference(rat,[],[s287,s88,s120,s121,s44,s667,s649]) ).

cnf(s669,plain,
    ( spl0_7
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s650,s668,s3,s371,s73,s74,s75,s43,s661,s656,s1,s649]) ).

cnf(s670,plain,
    ( ~ spl0_48
    | ~ spl0_7
    | ~ spl0_5
    | ~ spl0_4 ),
    inference(rat,[],[s187,s53,s54]) ).

cnf(s671,plain,
    ( spl0_48
    | spl0_9 ),
    inference(rat,[],[s582,s55,s56,s96,s52,s33,s649]) ).

cnf(s672,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s671,s670,s669,s371,s73,s74,s75,s43,s661,s656,s1,s649]) ).

cnf(s673,plain,
    ( spl0_9
    | ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s312,s650,s69,s106,s670,s22,s671,s566,s672,s656,s649]) ).

cnf(s674,plain,
    ( ~ spl0_15
    | ~ spl0_5
    | ~ spl0_2 ),
    inference(rat,[],[s216,s83,s84]) ).

cnf(s675,plain,
    ( ~ spl0_22
    | ~ spl0_8 ),
    inference(rat,[],[s270,s60,s97,s98]) ).

cnf(s676,plain,
    ( ~ spl0_48
    | ~ spl0_12 ),
    inference(rat,[],[s465,s53,s54,s95]) ).

cnf(s678,plain,
    ( ~ spl0_32
    | ~ spl0_25
    | ~ spl0_5
    | ~ spl0_2 ),
    inference(rat,[],[s399,s89,s123]) ).

cnf(s680,plain,
    ( ~ spl0_41
    | ~ spl0_34
    | ~ spl0_12 ),
    inference(rat,[],[s412,s63,s101]) ).

cnf(s681,plain,
    ( spl0_42
    | spl0_33
    | ~ spl0_12
    | spl0_22
    | ~ spl0_5
    | ~ spl0_2 ),
    inference(rat,[],[s468,s71,s72,s110,s165,s680,s18,s678,s40,s49,s676,s649]) ).

cnf(s682,plain,
    ( ~ spl0_42
    | ~ spl0_9 ),
    inference(rat,[],[s371,s73,s74,s75]) ).

cnf(s683,plain,
    ( ~ spl0_24
    | ~ spl0_25
    | ~ spl0_5
    | ~ spl0_2 ),
    inference(rat,[],[s400,s69,s107]) ).

cnf(s684,plain,
    ( ~ spl0_27
    | ~ spl0_56 ),
    inference(rat,[],[s468,s71,s72,s110]) ).

cnf(s685,plain,
    ( spl0_22
    | ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s418,s63,s100,s165,s684,s22,s683,s40,s49,s676,s11,s666,s146,s674,s656,s672,s665,s682,s673,s649]) ).

cnf(s686,plain,
    ( ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s675,s9,s685,s366,s134,s135,s136,s146,s674,s661,s665,s656,s672,s649]) ).

cnf(s687,plain,
    ( spl0_9
    | ~ spl0_8
    | ~ spl0_5
    | spl0_1 ),
    inference(rat,[],[s464,s131,s133,s17,s438,s7,s660,s4,s312,s11,s69,s106,s676,s22,s671,s566,s674,s672,s675,s649]) ).

cnf(s689,plain,
    ( ~ spl0_30
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(rat,[],[s464,s131,s133]) ).

cnf(s692,plain,
    ( ~ spl0_6
    | spl0_93
    | ~ spl0_129
    | spl0_32
    | ~ spl0_8
    | spl0_15
    | ~ spl0_5
    | spl0_4 ),
    inference(rat,[],[s437,s17,s689,s7,s658,s18,s444,s57,s58,s38,s652,s661,s649]) ).

cnf(s693,plain,
    ( ~ spl0_45
    | ~ spl0_33
    | ~ spl0_5 ),
    inference(rat,[],[s444,s57,s58]) ).

cnf(s694,plain,
    ( ~ spl0_57
    | ~ spl0_2 ),
    inference(rat,[],[s391,s64,s65,s102]) ).

cnf(s695,plain,
    ( ~ spl0_8
    | ~ spl0_5
    | spl0_1 ),
    inference(rat,[],[s7,s513,s437,s50,s693,s681,s11,s692,s88,s121,s678,s140,s40,s682,s687,s675,s686,s694,s674,s672,s649]) ).

cnf(s696,plain,
    ( spl0_9
    | spl0_8 ),
    inference(rat,[],[s676,s5,s671,s649]) ).

cnf(s697,plain,
    ( ~ spl0_5
    | spl0_1 ),
    inference(rat,[],[s646,s58,s59,s50,s513,s88,s121,s140,s682,s696,s9,s3,s695,s661,s694,s672,s649]) ).

cnf(s698,plain,
    ( ~ spl0_50
    | spl0_1 ),
    inference(rat,[],[s606,s80,s113,s114,s3,s653,s2,s697,s649]) ).

cnf(s699,plain,
    spl0_1,
    inference(rat,[],[s646,s58,s59,s38,s698,s696,s3,s653,s2,s697,s686,s649]) ).

cnf(s701,plain,
    ( ~ spl0_53
    | ~ spl0_17 ),
    inference(rat,[],[s192,s118,s119,s699]) ).

cnf(s702,plain,
    ( ~ spl0_17
    | spl0_2 ),
    inference(rat,[],[s552,s120,s121,s44,s701,s699,s649]) ).

cnf(s703,plain,
    ~ spl0_53,
    inference(rat,[],[s309,s87,s118,s119,s699]) ).

cnf(s704,plain,
    ( spl0_2
    | ~ spl0_5 ),
    inference(rat,[],[s571,s581,s83,s84,s85,s7,s437,s88,s121,s44,s17,s702,s689,s11,s675,s676,s696,s671,s682,s43,s661,s649,s703]) ).

cnf(s705,plain,
    ( ~ spl0_97
    | ~ spl0_5 ),
    inference(rat,[],[s363,s91,s92,s704]) ).

cnf(s706,plain,
    ( ~ spl0_24
    | ~ spl0_17
    | spl0_9
    | ~ spl0_2 ),
    inference(rat,[],[s4,s312,s660,s69,s106,s649]) ).

cnf(s707,plain,
    ( ~ spl0_17
    | spl0_9
    | ~ spl0_5 ),
    inference(rat,[],[s552,s120,s121,s143,s706,s704,s705,s699]) ).

cnf(s708,plain,
    ( ~ spl0_24
    | ~ spl0_16
    | ~ spl0_31 ),
    inference(rat,[],[s438,s69,s106]) ).

cnf(s709,plain,
    ( spl0_9
    | ~ spl0_8
    | ~ spl0_5 ),
    inference(rat,[],[s437,s88,s121,s143,s708,s7,s17,s707,s689,s11,s676,s671,s674,s704,s705,s675,s649]) ).

cnf(s710,plain,
    ( ~ spl0_8
    | ~ spl0_5 ),
    inference(rat,[],[s426,s88,s120,s121,s40,s140,s682,s709,s675,s694,s704,s699,s649]) ).

cnf(s711,plain,
    ~ spl0_5,
    inference(rat,[],[s552,s120,s121,s140,s682,s9,s696,s710,s694,s704,s661,s699,s649]) ).

cnf(s712,plain,
    spl0_9,
    inference(rat,[],[s11,s675,s653,s676,s696,s671,s649,s711]) ).

cnf(s713,plain,
    ~ spl0_42,
    inference(rat,[],[s682,s712]) ).

cnf(s714,plain,
    ~ spl0_39,
    inference(rat,[],[s591,s379,s61,s62,s99,s712,s699]) ).

cnf(s715,plain,
    ( spl0_82
    | spl0_84
    | spl0_83 ),
    inference(rat,[],[s387,s24,s28,s97,s98,s40,s234,s593,s26,s392,s712,s713,s649,s714]) ).

cnf(s716,plain,
    ~ spl0_20,
    inference(rat,[],[s715,s77,s78,s79]) ).

cnf(s717,plain,
    spl0_2,
    inference(rat,[],[s43,s649,s713,s716]) ).

cnf(s718,plain,
    ~ spl0_57,
    inference(rat,[],[s694,s717]) ).

cnf(s719,plain,
    spl0_51,
    inference(rat,[],[s140,s713,s718]) ).

cnf(s720,plain,
    spl0_129,
    inference(rat,[],[s121,s719]) ).

cnf(s721,plain,
    spl0_128,
    inference(rat,[],[s120,s719]) ).

cnf(s722,plain,
    ~ spl0_93,
    inference(rat,[],[s88,s719]) ).

cnf(s723,plain,
    ~ spl0_17,
    inference(rat,[],[s552,s720,s699,s721]) ).

cnf(s725,plain,
    spl0_8,
    inference(rat,[],[s9,s649,s716,s723]) ).

cnf(s726,plain,
    ~ spl0_6,
    inference(rat,[],[s653,s711,s725]) ).

cnf(s727,plain,
    ~ spl0_22,
    inference(rat,[],[s675,s725]) ).

cnf(s730,plain,
    spl0_12,
    inference(rat,[],[s11,s726,s649,s727]) ).

cnf(s734,plain,
    ~ spl0_48,
    inference(rat,[],[s676,s730]) ).

cnf(s736,plain,
    spl0_56,
    inference(rat,[],[s49,s713,s649,s734]) ).

cnf(s737,plain,
    ~ spl0_27,
    inference(rat,[],[s684,s736]) ).

cnf(s739,plain,
    spl0_28,
    inference(rat,[],[s15,s723,s649,s737]) ).

cnf(s748,plain,
    ~ spl0_45,
    inference(rat,[],[s35,s429,s206,s57,s58,s59,s649,s734,s739,s730]) ).

cnf(s749,plain,
    spl0_31,
    inference(rat,[],[s50,s718,s649,s748]) ).

cnf(s750,plain,
    ~ spl0_16,
    inference(rat,[],[s437,s722,s720,s749]) ).

cnf(s751,plain,
    spl0_15,
    inference(rat,[],[s7,s723,s649,s750]) ).

cnf(s752,plain,
    ~ spl0_90,
    inference(rat,[],[s85,s751]) ).

cnf(s753,plain,
    ~ spl0_89,
    inference(rat,[],[s84,s751]) ).

cnf(s755,plain,
    spl0_148,
    inference(rat,[],[s251,s712,s753,s752]) ).

cnf(s756,plain,
    $false,
    inference(rat,[],[s581,s753,s749,s752,s755]) ).

fof(f3067,plain,
    $false,
    inference(avatar_sat_refutation,[],[s756]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN448-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19  % Computer : n019.cluster.edu
% 0.09/0.19  % Model    : x86_64 x86_64
% 0.09/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19  % Memory   : 8046.5625MB
% 0.09/0.19  % OS       : Linux 6.8.0-71-generic
% 0.09/0.19  % CPULimit : 300
% 0.09/0.19  % WCLimit  : 300
% 0.09/0.19  % DateTime : Mon Sep 28 16:04:19 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22  Running first-order model finding
% 0.09/0.22  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.29  % (4123184)Will run a generic schedule for satisfiability detection.
% 0.19/0.29  % (4123193)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2537599199:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.29  % (4123190)% WARNING: option uhcvi not known.
% 0.19/0.29  % (4123189)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4062353054_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.29  % (4123190)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3426791753:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.29  % (4123191)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4167116349:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.29  % (4123192)dis+10_1_sil=32000:sp=arity:random_seed=3696819534:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.29  % (4123194)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2257786178:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.29  % (4123195)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3228164482:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.29  % Detected minimum model sizes of [1]
% 0.19/0.29  % Detected maximum model sizes of [29]
% 0.19/0.29  % TRYING [1]
% 0.19/0.29  % TRYING [2]
% 0.19/0.29  % TRYING [3]
% 0.19/0.29  % (4123193) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4123184-4123193"...
% 0.19/0.29  % TRYING [4]
% 0.19/0.29  % (4123193)...printing done.
% 0.19/0.29  % (4123193)Refutation found. Thanks to Tanya!
% 0.19/0.29  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.29  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.30  % (4123193)------------------------------
% 0.19/0.30  % (4123193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.30  % (4123193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.30  % (4123193)CaDiCaL version: 2.1.3
% 0.19/0.30  % (4123193)Termination reason: Refutation
% 0.19/0.30  % (4123193)Time elapsed: 0.024 s
% 0.19/0.30  % (4123193)Peak memory usage: 13 MB
% 0.19/0.30  % (4123193)Instructions burned: 68 (million)
% 0.19/0.30  % (4123184)Success in time 0.058 s
% 0.19/0.30  % Vampire exiting
%------------------------------------------------------------------------------