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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN473-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n013.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 01:54:26 PM UTC 2026

% Result   : Unsatisfiable 0.65s 1.02s
% Output   : Refutation 3.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   42
%            Number of leaves      :  248
% Syntax   : Number of formulae    : 1026 (  21 unt; 132 def)
%            Number of atoms       : 3454 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 4459 (2031   ~;2296   |;   0   &)
%                                         ( 132 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  163 ( 162 usr; 159 prp; 0-1 aty)
%            Number of functors    :   25 (  25 usr;  25 con; 0-0 aty)
%            Number of variables   :  169 (   0 sgn 169   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ( ~ hskp30
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

fof(f3,negated_conjecture,
    ( ~ hskp28
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).

fof(f12,negated_conjecture,
    ( ~ hskp19
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause12) ).

fof(f32,negated_conjecture,
    ( hskp30
    | hskp28
    | hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).

fof(f33,negated_conjecture,
    ( hskp9
    | hskp3
    | hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).

fof(f34,negated_conjecture,
    ( hskp27
    | hskp21
    | hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

fof(f37,negated_conjecture,
    ( hskp28
    | hskp8
    | hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

fof(f39,negated_conjecture,
    ( ~ hskp30
    | c0_1(a867) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

fof(f40,negated_conjecture,
    ( ~ hskp30
    | c1_1(a867) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

fof(f41,negated_conjecture,
    ( ~ hskp30
    | c3_1(a867) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

fof(f42,negated_conjecture,
    ( ~ hskp29
    | c0_1(a829) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

fof(f43,negated_conjecture,
    ( ~ hskp29
    | c1_1(a829) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

fof(f44,negated_conjecture,
    ( ~ hskp29
    | c2_1(a829) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

fof(f45,negated_conjecture,
    ( ~ hskp28
    | c1_1(a797) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f46,negated_conjecture,
    ( ~ hskp28
    | c2_1(a797) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f47,negated_conjecture,
    ( ~ hskp28
    | c3_1(a797) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f48,negated_conjecture,
    ( ~ hskp27
    | c0_1(a796) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f49,negated_conjecture,
    ( ~ hskp27
    | c2_1(a796) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f50,negated_conjecture,
    ( ~ hskp27
    | c3_1(a796) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f51,negated_conjecture,
    ( ~ hskp26
    | c2_1(a869) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f52,negated_conjecture,
    ( ~ hskp26
    | c3_1(a869) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f56,negated_conjecture,
    ( ~ hskp23
    | c0_1(a856) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

fof(f57,negated_conjecture,
    ( ~ hskp22
    | c1_1(a840) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f59,negated_conjecture,
    ( ~ hskp21
    | c0_1(a838) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f60,negated_conjecture,
    ( ~ hskp21
    | c3_1(a838) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f61,negated_conjecture,
    ( ~ hskp20
    | c1_1(a833) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f62,negated_conjecture,
    ( ~ hskp19
    | c2_1(a832) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f63,negated_conjecture,
    ( ~ hskp17
    | c0_1(a825) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f64,negated_conjecture,
    ( ~ hskp17
    | c1_1(a825) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f65,negated_conjecture,
    ( ~ hskp15
    | c2_1(a817) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f66,negated_conjecture,
    ( ~ hskp15
    | c3_1(a817) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f67,negated_conjecture,
    ( ~ hskp14
    | c0_1(a816) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f68,negated_conjecture,
    ( ~ hskp13
    | c1_1(a814) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f69,negated_conjecture,
    ( ~ hskp12
    | c1_1(a809) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f70,negated_conjecture,
    ( ~ hskp12
    | c2_1(a809) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f71,negated_conjecture,
    ( ~ hskp11
    | c3_1(a808) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f72,negated_conjecture,
    ( ~ hskp9
    | c0_1(a806) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f73,negated_conjecture,
    ( ~ hskp9
    | c1_1(a806) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f74,negated_conjecture,
    ( ~ hskp8
    | c1_1(a805) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f77,negated_conjecture,
    ( ~ hskp6
    | c2_1(a802) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f78,negated_conjecture,
    ( ~ hskp5
    | c3_1(a800) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f81,negated_conjecture,
    ( ~ hskp3
    | c0_1(a798) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( ~ hskp3
    | c2_1(a798) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f83,negated_conjecture,
    ( ~ hskp1
    | c3_1(a794) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f86,negated_conjecture,
    ( ~ c0_1(a869)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f90,negated_conjecture,
    ( ~ c2_1(a856)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

fof(f91,negated_conjecture,
    ( ~ c3_1(a856)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

fof(f92,negated_conjecture,
    ( ~ c0_1(a840)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

fof(f93,negated_conjecture,
    ( ~ c2_1(a838)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

fof(f94,negated_conjecture,
    ( ~ c0_1(a833)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f95,negated_conjecture,
    ( ~ c2_1(a833)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f96,negated_conjecture,
    ( ~ c1_1(a832)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f97,negated_conjecture,
    ( ~ c3_1(a832)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f101,negated_conjecture,
    ( ~ c2_1(a825)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f102,negated_conjecture,
    ( ~ c0_1(a821)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f103,negated_conjecture,
    ( ~ c1_1(a821)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

fof(f104,negated_conjecture,
    ( ~ c2_1(a821)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f105,negated_conjecture,
    ( ~ c1_1(a817)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f107,negated_conjecture,
    ( ~ c2_1(a816)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f108,negated_conjecture,
    ( ~ c0_1(a814)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f109,negated_conjecture,
    ( ~ c3_1(a814)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f110,negated_conjecture,
    ( ~ c0_1(a809)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

fof(f111,negated_conjecture,
    ( ~ c1_1(a808)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f112,negated_conjecture,
    ( ~ c2_1(a808)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f113,negated_conjecture,
    ( ~ c0_1(a807)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f114,negated_conjecture,
    ( ~ c2_1(a807)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f115,negated_conjecture,
    ( ~ c3_1(a807)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f116,negated_conjecture,
    ( ~ c3_1(a806)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f117,negated_conjecture,
    ( ~ c2_1(a805)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f118,negated_conjecture,
    ( ~ c3_1(a805)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f120,negated_conjecture,
    ( ~ c0_1(a802)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f122,negated_conjecture,
    ( ~ c0_1(a800)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f123,negated_conjecture,
    ( ~ c1_1(a800)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f125,negated_conjecture,
    ( ~ c3_1(a798)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f126,negated_conjecture,
    ( ~ c0_1(a795)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f127,negated_conjecture,
    ( ~ c1_1(a795)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f129,negated_conjecture,
    ( ~ c0_1(a794)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f130,negated_conjecture,
    ( ~ c2_1(a794)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

fof(f133,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | c3_1(X0)
      | hskp27
      | hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

fof(f136,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | hskp20
      | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).

fof(f142,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | hskp20
      | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).

fof(f145,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X0)
      | hskp17
      | hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).

fof(f146,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X0)
      | hskp28
      | hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).

fof(f147,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X0)
      | hskp13
      | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).

fof(f150,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp29
      | hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).

fof(f153,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp23
      | hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).

fof(f158,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp30
      | hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).

fof(f159,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp26
      | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).

fof(f160,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp15
      | hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).

fof(f161,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp27
      | hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).

fof(f162,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp21
      | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).

fof(f163,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).

fof(f168,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c0_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).

fof(f169,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

fof(f170,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).

fof(f171,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).

fof(f172,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

fof(f174,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).

fof(f176,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X1)
      | c3_1(X1)
      | hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).

fof(f179,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).

fof(f180,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).

fof(f181,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

fof(f182,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | c2_1(X0)
      | c2_1(X1)
      | hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).

fof(f183,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c1_1(X1)
      | hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).

fof(f184,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | c3_1(X1)
      | hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).

fof(f186,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | c0_1(X2)
      | c2_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).

fof(f187,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c0_1(X2)
      | c1_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause187) ).

fof(f188,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | c0_1(X2)
      | c2_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause188) ).

fof(f189,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X2)
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X2)
      | c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause189) ).

fof(f190,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X2)
      | c3_1(X0)
      | c0_1(X1)
      | c0_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause190) ).

fof(f191,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | c3_1(X0)
      | c0_1(X1)
      | c0_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause191) ).

fof(f192,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X2)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause192) ).

fof(f193,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X2)
      | ~ c2_1(X2)
      | c2_1(X0)
      | c2_1(X1)
      | c3_1(X1)
      | c0_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause193) ).

fof(f194,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X2)
      | c3_1(X0)
      | c2_1(X1)
      | c2_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause194) ).

fof(f195,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X2)
      | c1_1(X1)
      | c0_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause195) ).

fof(f196,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X2)
      | c0_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause196) ).

fof(f198,definition,
    ( spl0_1
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c0_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f199,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c0_1(X2)
        | ~ c3_1(X2) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f198]) ).

fof(f201,definition,
    ( spl0_2
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f202,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f201]) ).

fof(f204,definition,
    ( spl0_3
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f207,definition,
    ( spl0_4
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f208,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f207]) ).

fof(f209,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f196,f207,f204,f201,f198]) ).

fof(f211,definition,
    ( spl0_5
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c3_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f212,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | ~ c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f211]) ).

fof(f214,definition,
    ( spl0_6
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f215,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f214]) ).

fof(f217,definition,
    ( spl0_7
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f218,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f217]) ).

fof(f219,plain,
    ( spl0_5
    | spl0_6
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f195,f217,f204,f214,f211]) ).

fof(f221,definition,
    ( spl0_8
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f222,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c3_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f221]) ).

fof(f224,definition,
    ( spl0_9
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f225,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | ~ c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f224]) ).

fof(f227,definition,
    ( spl0_10
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f228,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f227]) ).

fof(f229,plain,
    ( spl0_8
    | spl0_9
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f194,f227,f204,f224,f221]) ).

fof(f231,definition,
    ( spl0_11
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c0_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f232,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c0_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f231]) ).

fof(f234,definition,
    ( spl0_12
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f235,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f234]) ).

fof(f236,plain,
    ( spl0_11
    | spl0_8
    | ~ spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f193,f234,f204,f221,f231]) ).

fof(f238,definition,
    ( spl0_13
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c3_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f239,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f241,definition,
    ( spl0_14
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f242,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | ~ c1_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f241]) ).

fof(f244,definition,
    ( spl0_15
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f245,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f244]) ).

fof(f246,plain,
    ( spl0_13
    | spl0_14
    | ~ spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f192,f244,f204,f241,f238]) ).

fof(f248,definition,
    ( spl0_16
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f249,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | ~ c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f248]) ).

fof(f251,definition,
    ( spl0_17
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f252,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f254,definition,
    ( spl0_18
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f255,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f254]) ).

fof(f256,plain,
    ( spl0_16
    | spl0_17
    | ~ spl0_3
    | spl0_18 ),
    inference(avatar_split_clause,[],[f191,f254,f204,f251,f248]) ).

fof(f257,plain,
    ( spl0_16
    | spl0_11
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f190,f227,f204,f231,f248]) ).

fof(f259,definition,
    ( spl0_19
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f260,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f259]) ).

fof(f262,definition,
    ( spl0_20
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f263,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f262]) ).

fof(f264,plain,
    ( spl0_19
    | spl0_20
    | ~ spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f189,f234,f204,f262,f259]) ).

fof(f266,definition,
    ( spl0_21
  <=> ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f267,plain,
    ( ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | c2_1(X2) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f266]) ).

fof(f268,plain,
    ( spl0_21
    | spl0_17
    | ~ spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f188,f244,f204,f251,f266]) ).

fof(f270,definition,
    ( spl0_22
  <=> ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f271,plain,
    ( ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | c1_1(X2) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f273,definition,
    ( spl0_23
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f274,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f273]) ).

fof(f275,plain,
    ( spl0_22
    | spl0_11
    | ~ spl0_3
    | spl0_23 ),
    inference(avatar_split_clause,[],[f187,f273,f204,f231,f270]) ).

fof(f277,definition,
    ( spl0_24
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f278,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | ~ c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f277]) ).

fof(f280,definition,
    ( spl0_25
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f281,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f280]) ).

fof(f282,plain,
    ( spl0_21
    | spl0_24
    | ~ spl0_3
    | spl0_25 ),
    inference(avatar_split_clause,[],[f186,f280,f204,f277,f266]) ).

fof(f288,definition,
    ( spl0_27
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f290,plain,
    ( spl0_27
    | spl0_10
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f184,f207,f204,f227,f288]) ).

fof(f292,definition,
    ( spl0_28
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f294,plain,
    ( spl0_28
    | spl0_6
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f183,f207,f204,f214,f292]) ).

fof(f295,plain,
    ( spl0_28
    | spl0_12
    | ~ spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f182,f224,f204,f234,f292]) ).

fof(f297,definition,
    ( spl0_29
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f299,plain,
    ( spl0_29
    | spl0_8
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f181,f207,f204,f221,f297]) ).

fof(f301,definition,
    ( spl0_30
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f303,plain,
    ( spl0_30
    | spl0_25
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f180,f207,f204,f280,f301]) ).

fof(f305,definition,
    ( spl0_31
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f307,plain,
    ( spl0_31
    | spl0_17
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f179,f214,f204,f251,f305]) ).

fof(f309,definition,
    ( spl0_32
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f316,definition,
    ( spl0_34
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f320,definition,
    ( spl0_35
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f323,definition,
    ( spl0_36
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f324,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f323]) ).

fof(f325,plain,
    ( spl0_35
    | spl0_13
    | ~ spl0_3
    | spl0_36 ),
    inference(avatar_split_clause,[],[f176,f323,f204,f238,f320]) ).

fof(f330,plain,
    ( spl0_34
    | spl0_13
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f174,f251,f204,f238,f316]) ).

fof(f332,definition,
    ( spl0_38
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f336,definition,
    ( spl0_39
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f338,plain,
    ( spl0_39
    | spl0_19
    | ~ spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f172,f241,f204,f259,f336]) ).

fof(f340,definition,
    ( spl0_40
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f343,definition,
    ( spl0_41
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f344,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f343]) ).

fof(f345,plain,
    ( spl0_40
    | spl0_41
    | ~ spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f171,f221,f204,f343,f340]) ).

fof(f347,definition,
    ( spl0_42
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f350,definition,
    ( spl0_43
  <=> ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f351,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f350]) ).

fof(f352,plain,
    ( spl0_42
    | spl0_43
    | ~ spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f170,f241,f204,f350,f347]) ).

fof(f354,definition,
    ( spl0_44
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f356,plain,
    ( spl0_44
    | spl0_5
    | ~ spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f169,f221,f204,f211,f354]) ).

fof(f357,plain,
    ( spl0_29
    | spl0_16
    | ~ spl0_3
    | spl0_13 ),
    inference(avatar_split_clause,[],[f168,f238,f204,f248,f297]) ).

fof(f359,definition,
    ( spl0_45
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f371,plain,
    ( spl0_40
    | spl0_43
    | ~ spl0_3
    | spl0_41 ),
    inference(avatar_split_clause,[],[f163,f343,f204,f350,f340]) ).

fof(f373,definition,
    ( spl0_48
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f375,plain,
    ( spl0_45
    | spl0_48
    | ~ spl0_3
    | spl0_36 ),
    inference(avatar_split_clause,[],[f162,f323,f204,f373,f359]) ).

fof(f377,definition,
    ( spl0_49
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f379,plain,
    ( spl0_42
    | spl0_49
    | ~ spl0_3
    | spl0_36 ),
    inference(avatar_split_clause,[],[f161,f323,f204,f377,f347]) ).

fof(f381,definition,
    ( spl0_50
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f383,plain,
    ( spl0_50
    | spl0_35
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f160,f217,f204,f320,f381]) ).

fof(f385,definition,
    ( spl0_51
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f387,plain,
    ( spl0_45
    | spl0_51
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f159,f217,f204,f385,f359]) ).

fof(f389,definition,
    ( spl0_52
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f392,definition,
    ( spl0_53
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f394,plain,
    ( spl0_52
    | spl0_53
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f158,f217,f204,f392,f389]) ).

fof(f396,definition,
    ( spl0_54
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f409,definition,
    ( spl0_57
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f411,plain,
    ( spl0_32
    | spl0_57
    | ~ spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f153,f244,f204,f409,f309]) ).

fof(f414,plain,
    ( spl0_38
    | spl0_40
    | ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f150,f198,f204,f340,f332]) ).

fof(f420,definition,
    ( spl0_59
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f423,plain,
    ( spl0_54
    | spl0_32
    | ~ spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f147,f221,f204,f309,f396]) ).

fof(f424,plain,
    ( spl0_42
    | spl0_28
    | ~ spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f146,f221,f204,f292,f347]) ).

fof(f425,plain,
    ( spl0_31
    | spl0_59
    | ~ spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f145,f221,f204,f420,f305]) ).

fof(f428,plain,
    ( spl0_54
    | spl0_52
    | ~ spl0_3
    | spl0_41 ),
    inference(avatar_split_clause,[],[f142,f343,f204,f389,f396]) ).

fof(f433,definition,
    ( spl0_60
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f438,definition,
    ( spl0_61
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f440,plain,
    ( spl0_61
    | spl0_52
    | spl0_43
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f136,f204,f350,f389,f438]) ).

fof(f443,plain,
    ( spl0_28
    | spl0_49
    | spl0_22
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f133,f204,f270,f377,f292]) ).

fof(f452,definition,
    ( spl0_63
  <=> c2_1(a794) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f453,plain,
    ( ~ c2_1(a794)
    | spl0_63 ),
    inference(avatar_component_clause,[],[f452]) ).

fof(f454,plain,
    ( ~ spl0_54
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f130,f452,f396]) ).

fof(f456,definition,
    ( spl0_64
  <=> c0_1(a794) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f457,plain,
    ( ~ c0_1(a794)
    | spl0_64 ),
    inference(avatar_component_clause,[],[f456]) ).

fof(f458,plain,
    ( ~ spl0_54
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f129,f456,f396]) ).

fof(f465,definition,
    ( spl0_66
  <=> c1_1(a795) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f466,plain,
    ( ~ c1_1(a795)
    | spl0_66 ),
    inference(avatar_component_clause,[],[f465]) ).

fof(f467,plain,
    ( ~ spl0_61
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f127,f465,f438]) ).

fof(f469,definition,
    ( spl0_67
  <=> c0_1(a795) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f470,plain,
    ( ~ c0_1(a795)
    | spl0_67 ),
    inference(avatar_component_clause,[],[f469]) ).

fof(f471,plain,
    ( ~ spl0_61
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f126,f469,f438]) ).

fof(f474,definition,
    ( spl0_68
  <=> c3_1(a798) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f475,plain,
    ( ~ c3_1(a798)
    | spl0_68 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f476,plain,
    ( ~ spl0_44
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f125,f474,f354]) ).

fof(f484,definition,
    ( spl0_70
  <=> c1_1(a800) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f485,plain,
    ( ~ c1_1(a800)
    | spl0_70 ),
    inference(avatar_component_clause,[],[f484]) ).

fof(f486,plain,
    ( ~ spl0_27
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f123,f484,f288]) ).

fof(f488,definition,
    ( spl0_71
  <=> c0_1(a800) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f489,plain,
    ( ~ c0_1(a800)
    | spl0_71 ),
    inference(avatar_component_clause,[],[f488]) ).

fof(f490,plain,
    ( ~ spl0_27
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f122,f488,f288]) ).

fof(f497,definition,
    ( spl0_73
  <=> c0_1(a802) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f499,plain,
    ( ~ spl0_39
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f120,f497,f336]) ).

fof(f507,definition,
    ( spl0_75
  <=> c3_1(a805) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f508,plain,
    ( ~ c3_1(a805)
    | spl0_75 ),
    inference(avatar_component_clause,[],[f507]) ).

fof(f509,plain,
    ( ~ spl0_31
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f118,f507,f305]) ).

fof(f511,definition,
    ( spl0_76
  <=> c2_1(a805) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f512,plain,
    ( ~ c2_1(a805)
    | spl0_76 ),
    inference(avatar_component_clause,[],[f511]) ).

fof(f513,plain,
    ( ~ spl0_31
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f117,f511,f305]) ).

fof(f516,definition,
    ( spl0_77
  <=> c3_1(a806) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f517,plain,
    ( ~ c3_1(a806)
    | spl0_77 ),
    inference(avatar_component_clause,[],[f516]) ).

fof(f518,plain,
    ( ~ spl0_38
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f116,f516,f332]) ).

fof(f521,definition,
    ( spl0_78
  <=> c3_1(a807) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f522,plain,
    ( ~ c3_1(a807)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f521]) ).

fof(f523,plain,
    ( ~ spl0_60
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f115,f521,f433]) ).

fof(f525,definition,
    ( spl0_79
  <=> c2_1(a807) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f526,plain,
    ( ~ c2_1(a807)
    | spl0_79 ),
    inference(avatar_component_clause,[],[f525]) ).

fof(f527,plain,
    ( ~ spl0_60
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f114,f525,f433]) ).

fof(f529,definition,
    ( spl0_80
  <=> c0_1(a807) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f530,plain,
    ( ~ c0_1(a807)
    | spl0_80 ),
    inference(avatar_component_clause,[],[f529]) ).

fof(f531,plain,
    ( ~ spl0_60
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f113,f529,f433]) ).

fof(f534,definition,
    ( spl0_81
  <=> c2_1(a808) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f535,plain,
    ( ~ c2_1(a808)
    | spl0_81 ),
    inference(avatar_component_clause,[],[f534]) ).

fof(f536,plain,
    ( ~ spl0_45
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f112,f534,f359]) ).

fof(f538,definition,
    ( spl0_82
  <=> c1_1(a808) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f539,plain,
    ( ~ c1_1(a808)
    | spl0_82 ),
    inference(avatar_component_clause,[],[f538]) ).

fof(f540,plain,
    ( ~ spl0_45
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f111,f538,f359]) ).

fof(f543,definition,
    ( spl0_83
  <=> c0_1(a809) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f544,plain,
    ( ~ c0_1(a809)
    | spl0_83 ),
    inference(avatar_component_clause,[],[f543]) ).

fof(f545,plain,
    ( ~ spl0_29
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f110,f543,f297]) ).

fof(f548,definition,
    ( spl0_84
  <=> c3_1(a814) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f549,plain,
    ( ~ c3_1(a814)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f548]) ).

fof(f550,plain,
    ( ~ spl0_32
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f109,f548,f309]) ).

fof(f552,definition,
    ( spl0_85
  <=> c0_1(a814) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f553,plain,
    ( ~ c0_1(a814)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f552]) ).

fof(f554,plain,
    ( ~ spl0_32
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f108,f552,f309]) ).

fof(f557,definition,
    ( spl0_86
  <=> c2_1(a816) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f558,plain,
    ( ~ c2_1(a816)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f557]) ).

fof(f559,plain,
    ( ~ spl0_34
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f107,f557,f316]) ).

fof(f566,definition,
    ( spl0_88
  <=> c1_1(a817) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f567,plain,
    ( ~ c1_1(a817)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f566]) ).

fof(f568,plain,
    ( ~ spl0_35
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f105,f566,f320]) ).

fof(f571,definition,
    ( spl0_89
  <=> c2_1(a821) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f572,plain,
    ( ~ c2_1(a821)
    | spl0_89 ),
    inference(avatar_component_clause,[],[f571]) ).

fof(f573,plain,
    ( ~ spl0_50
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f104,f571,f381]) ).

fof(f575,definition,
    ( spl0_90
  <=> c1_1(a821) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f576,plain,
    ( ~ c1_1(a821)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f575]) ).

fof(f577,plain,
    ( ~ spl0_50
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f103,f575,f381]) ).

fof(f579,definition,
    ( spl0_91
  <=> c0_1(a821) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f580,plain,
    ( ~ c0_1(a821)
    | spl0_91 ),
    inference(avatar_component_clause,[],[f579]) ).

fof(f581,plain,
    ( ~ spl0_50
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f102,f579,f381]) ).

fof(f584,definition,
    ( spl0_92
  <=> c2_1(a825) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f585,plain,
    ( ~ c2_1(a825)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f584]) ).

fof(f586,plain,
    ( ~ spl0_59
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f101,f584,f420]) ).

fof(f602,definition,
    ( spl0_96
  <=> c3_1(a832) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f603,plain,
    ( ~ c3_1(a832)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f602]) ).

fof(f604,plain,
    ( ~ spl0_42
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f97,f602,f347]) ).

fof(f606,definition,
    ( spl0_97
  <=> c1_1(a832) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f607,plain,
    ( ~ c1_1(a832)
    | spl0_97 ),
    inference(avatar_component_clause,[],[f606]) ).

fof(f608,plain,
    ( ~ spl0_42
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f96,f606,f347]) ).

fof(f611,definition,
    ( spl0_98
  <=> c2_1(a833) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f612,plain,
    ( ~ c2_1(a833)
    | spl0_98 ),
    inference(avatar_component_clause,[],[f611]) ).

fof(f613,plain,
    ( ~ spl0_52
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f95,f611,f389]) ).

fof(f615,definition,
    ( spl0_99
  <=> c0_1(a833) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f616,plain,
    ( ~ c0_1(a833)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f615]) ).

fof(f617,plain,
    ( ~ spl0_52
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f94,f615,f389]) ).

fof(f620,definition,
    ( spl0_100
  <=> c2_1(a838) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f621,plain,
    ( ~ c2_1(a838)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f620]) ).

fof(f622,plain,
    ( ~ spl0_48
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f93,f620,f373]) ).

fof(f625,definition,
    ( spl0_101
  <=> c0_1(a840) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f626,plain,
    ( ~ c0_1(a840)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f625]) ).

fof(f627,plain,
    ( ~ spl0_30
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f92,f625,f301]) ).

fof(f630,definition,
    ( spl0_102
  <=> c3_1(a856) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f631,plain,
    ( ~ c3_1(a856)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f630]) ).

fof(f632,plain,
    ( ~ spl0_57
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f91,f630,f409]) ).

fof(f634,definition,
    ( spl0_103
  <=> c2_1(a856) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f635,plain,
    ( ~ c2_1(a856)
    | spl0_103 ),
    inference(avatar_component_clause,[],[f634]) ).

fof(f636,plain,
    ( ~ spl0_57
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f90,f634,f409]) ).

fof(f653,definition,
    ( spl0_107
  <=> c0_1(a869) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f655,plain,
    ( ~ spl0_51
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f86,f653,f385]) ).

fof(f665,definition,
    ( spl0_110
  <=> c3_1(a794) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f666,plain,
    ( c3_1(a794)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f665]) ).

fof(f667,plain,
    ( spl0_110
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f83,f396,f665]) ).

fof(f669,definition,
    ( spl0_111
  <=> c2_1(a798) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f670,plain,
    ( c2_1(a798)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f669]) ).

fof(f671,plain,
    ( spl0_111
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f82,f354,f669]) ).

fof(f673,definition,
    ( spl0_112
  <=> c0_1(a798) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f674,plain,
    ( c0_1(a798)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f673]) ).

fof(f675,plain,
    ( spl0_112
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f81,f354,f673]) ).

fof(f685,definition,
    ( spl0_115
  <=> c3_1(a800) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f686,plain,
    ( c3_1(a800)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f685]) ).

fof(f687,plain,
    ( spl0_115
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f78,f288,f685]) ).

fof(f689,definition,
    ( spl0_116
  <=> c2_1(a802) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f690,plain,
    ( c2_1(a802)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f689]) ).

fof(f691,plain,
    ( spl0_116
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f77,f336,f689]) ).

fof(f701,definition,
    ( spl0_119
  <=> c1_1(a805) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f702,plain,
    ( c1_1(a805)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f701]) ).

fof(f703,plain,
    ( spl0_119
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f74,f305,f701]) ).

fof(f705,definition,
    ( spl0_120
  <=> c1_1(a806) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f706,plain,
    ( c1_1(a806)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f705]) ).

fof(f707,plain,
    ( spl0_120
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f73,f332,f705]) ).

fof(f709,definition,
    ( spl0_121
  <=> c0_1(a806) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f710,plain,
    ( c0_1(a806)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f709]) ).

fof(f711,plain,
    ( spl0_121
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f72,f332,f709]) ).

fof(f713,definition,
    ( spl0_122
  <=> c3_1(a808) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f714,plain,
    ( c3_1(a808)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f713]) ).

fof(f715,plain,
    ( spl0_122
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f71,f359,f713]) ).

fof(f717,definition,
    ( spl0_123
  <=> c2_1(a809) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f718,plain,
    ( c2_1(a809)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f717]) ).

fof(f719,plain,
    ( spl0_123
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f70,f297,f717]) ).

fof(f721,definition,
    ( spl0_124
  <=> c1_1(a809) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f722,plain,
    ( c1_1(a809)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f721]) ).

fof(f723,plain,
    ( spl0_124
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f69,f297,f721]) ).

fof(f725,definition,
    ( spl0_125
  <=> c1_1(a814) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f726,plain,
    ( c1_1(a814)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f725]) ).

fof(f727,plain,
    ( spl0_125
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f68,f309,f725]) ).

fof(f729,definition,
    ( spl0_126
  <=> c0_1(a816) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f731,plain,
    ( spl0_126
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f67,f316,f729]) ).

fof(f733,definition,
    ( spl0_127
  <=> c3_1(a817) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f734,plain,
    ( c3_1(a817)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f733]) ).

fof(f735,plain,
    ( spl0_127
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f66,f320,f733]) ).

fof(f737,definition,
    ( spl0_128
  <=> c2_1(a817) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f738,plain,
    ( c2_1(a817)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f737]) ).

fof(f739,plain,
    ( spl0_128
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f65,f320,f737]) ).

fof(f741,definition,
    ( spl0_129
  <=> c1_1(a825) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f742,plain,
    ( c1_1(a825)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f741]) ).

fof(f743,plain,
    ( spl0_129
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f64,f420,f741]) ).

fof(f745,definition,
    ( spl0_130
  <=> c0_1(a825) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f747,plain,
    ( spl0_130
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f63,f420,f745]) ).

fof(f749,definition,
    ( spl0_131
  <=> c2_1(a832) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f750,plain,
    ( c2_1(a832)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f749]) ).

fof(f751,plain,
    ( spl0_131
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f62,f347,f749]) ).

fof(f753,definition,
    ( spl0_132
  <=> c1_1(a833) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f754,plain,
    ( c1_1(a833)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f753]) ).

fof(f755,plain,
    ( spl0_132
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f61,f389,f753]) ).

fof(f757,definition,
    ( spl0_133
  <=> c3_1(a838) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f758,plain,
    ( c3_1(a838)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f757]) ).

fof(f759,plain,
    ( spl0_133
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f60,f373,f757]) ).

fof(f761,definition,
    ( spl0_134
  <=> c0_1(a838) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f762,plain,
    ( c0_1(a838)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f761]) ).

fof(f763,plain,
    ( spl0_134
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f59,f373,f761]) ).

fof(f769,definition,
    ( spl0_136
  <=> c1_1(a840) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f770,plain,
    ( c1_1(a840)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f769]) ).

fof(f771,plain,
    ( spl0_136
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f57,f301,f769]) ).

fof(f773,definition,
    ( spl0_137
  <=> c0_1(a856) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f775,plain,
    ( spl0_137
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f56,f409,f773]) ).

fof(f789,definition,
    ( spl0_141
  <=> c3_1(a869) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f790,plain,
    ( c3_1(a869)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f789]) ).

fof(f791,plain,
    ( spl0_141
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f52,f385,f789]) ).

fof(f793,definition,
    ( spl0_142
  <=> c2_1(a869) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f794,plain,
    ( c2_1(a869)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f793]) ).

fof(f795,plain,
    ( spl0_142
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f51,f385,f793]) ).

fof(f797,definition,
    ( spl0_143
  <=> c3_1(a796) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f798,plain,
    ( c3_1(a796)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f797]) ).

fof(f800,plain,
    ( spl0_143
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f50,f377,f797]) ).

fof(f802,definition,
    ( spl0_144
  <=> c2_1(a796) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f803,plain,
    ( c2_1(a796)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f802]) ).

fof(f804,plain,
    ( spl0_144
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f49,f377,f802]) ).

fof(f806,definition,
    ( spl0_145
  <=> c0_1(a796) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f807,plain,
    ( c0_1(a796)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f806]) ).

fof(f808,plain,
    ( spl0_145
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f48,f377,f806]) ).

fof(f810,definition,
    ( spl0_146
  <=> c3_1(a797) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f811,plain,
    ( c3_1(a797)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f810]) ).

fof(f813,plain,
    ( spl0_146
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f47,f292,f810]) ).

fof(f815,definition,
    ( spl0_147
  <=> c2_1(a797) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f816,plain,
    ( c2_1(a797)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f815]) ).

fof(f817,plain,
    ( spl0_147
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f46,f292,f815]) ).

fof(f819,definition,
    ( spl0_148
  <=> c1_1(a797) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f820,plain,
    ( c1_1(a797)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f819]) ).

fof(f821,plain,
    ( spl0_148
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f45,f292,f819]) ).

fof(f823,definition,
    ( spl0_149
  <=> c2_1(a829) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f824,plain,
    ( c2_1(a829)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f823]) ).

fof(f826,plain,
    ( spl0_149
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f44,f340,f823]) ).

fof(f828,definition,
    ( spl0_150
  <=> c1_1(a829) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f829,plain,
    ( c1_1(a829)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f828]) ).

fof(f830,plain,
    ( spl0_150
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f43,f340,f828]) ).

fof(f832,definition,
    ( spl0_151
  <=> c0_1(a829) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f833,plain,
    ( c0_1(a829)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f832]) ).

fof(f834,plain,
    ( spl0_151
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f42,f340,f832]) ).

fof(f836,definition,
    ( spl0_152
  <=> c3_1(a867) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f837,plain,
    ( c3_1(a867)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f836]) ).

fof(f839,plain,
    ( spl0_152
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f41,f392,f836]) ).

fof(f841,definition,
    ( spl0_153
  <=> c1_1(a867) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f842,plain,
    ( c1_1(a867)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f841]) ).

fof(f843,plain,
    ( spl0_153
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f40,f392,f841]) ).

fof(f845,definition,
    ( spl0_154
  <=> c0_1(a867) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f846,plain,
    ( c0_1(a867)
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f845]) ).

fof(f847,plain,
    ( spl0_154
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f39,f392,f845]) ).

fof(f849,plain,
    ( spl0_60
    | spl0_31
    | spl0_28 ),
    inference(avatar_split_clause,[],[f37,f292,f305,f433]) ).

fof(f852,plain,
    ( spl0_28
    | spl0_48
    | spl0_49 ),
    inference(avatar_split_clause,[],[f34,f377,f373,f292]) ).

fof(f853,plain,
    ( spl0_51
    | spl0_44
    | spl0_38 ),
    inference(avatar_split_clause,[],[f33,f332,f354,f385]) ).

fof(f854,plain,
    ( spl0_42
    | spl0_28
    | spl0_53 ),
    inference(avatar_split_clause,[],[f32,f392,f292,f347]) ).

fof(f875,plain,
    ( spl0_3
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f12,f347,f204]) ).

fof(f884,plain,
    ( spl0_3
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f3,f292,f204]) ).

fof(f886,plain,
    ( spl0_3
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f1,f392,f204]) ).

fof(f889,plain,
    ( ~ c0_1(a838)
    | ~ c1_1(a838)
    | ~ spl0_4
    | ~ spl0_133 ),
    inference(resolution,[],[f208,f758]) ).

fof(f890,plain,
    ( ~ c1_1(a838)
    | ~ spl0_4
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(forward_subsumption_resolution,[],[f889,f762]) ).

fof(f902,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[],[f225,f218]) ).

fof(f904,plain,
    ( ~ c0_1(a838)
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_133 ),
    inference(resolution,[],[f902,f758]) ).

fof(f909,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(forward_subsumption_resolution,[],[f904,f762]) ).

fof(f910,plain,
    ( ~ spl0_7
    | ~ spl0_9
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(avatar_contradiction_clause,[],[f909]) ).

fof(f911,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f228,f218]) ).

fof(f913,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(resolution,[],[f911,f222]) ).

fof(f925,definition,
    ( spl0_155
  <=> c1_1(a798) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f930,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(resolution,[],[f232,f222]) ).

fof(f932,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(duplicate_literal_removal,[],[f930]) ).

fof(f934,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(resolution,[],[f235,f218]) ).

fof(f938,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(duplicate_literal_removal,[],[f934]) ).

fof(f940,plain,
    ( c3_1(a832)
    | c0_1(a832)
    | ~ spl0_13
    | ~ spl0_131 ),
    inference(resolution,[],[f239,f750]) ).

fof(f942,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_8
    | ~ spl0_13 ),
    inference(resolution,[],[f239,f222]) ).

fof(f944,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_8
    | ~ spl0_13 ),
    inference(duplicate_literal_removal,[],[f942]) ).

fof(f945,plain,
    ( c0_1(a832)
    | ~ spl0_13
    | spl0_96
    | ~ spl0_131 ),
    inference(forward_subsumption_resolution,[],[f940,f603]) ).

fof(f946,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_5
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f245,f212]) ).

fof(f950,plain,
    ( ~ c1_1(a798)
    | ~ spl0_5
    | ~ spl0_15
    | spl0_68 ),
    inference(resolution,[],[f946,f475]) ).

fof(f953,plain,
    ( ~ spl0_155
    | ~ spl0_5
    | ~ spl0_15
    | spl0_68 ),
    inference(avatar_split_clause,[],[f950,f474,f244,f211,f925]) ).

fof(f957,plain,
    ( spl0_5
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f932,f231,f221,f211]) ).

fof(f958,plain,
    ( spl0_5
    | ~ spl0_8
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f944,f238,f221,f211]) ).

fof(f959,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_4
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f245,f208]) ).

fof(f965,definition,
    ( spl0_156
  <=> c0_1(a808) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f975,plain,
    ( ~ c1_1(a814)
    | c0_1(a814)
    | ~ spl0_5
    | spl0_84 ),
    inference(resolution,[],[f212,f549]) ).

fof(f981,plain,
    ( c0_1(a814)
    | ~ spl0_5
    | spl0_84
    | ~ spl0_125 ),
    inference(forward_subsumption_resolution,[],[f975,f726]) ).

fof(f982,plain,
    ( $false
    | ~ spl0_5
    | spl0_84
    | spl0_85
    | ~ spl0_125 ),
    inference(forward_subsumption_resolution,[],[f981,f553]) ).

fof(f983,plain,
    ( ~ spl0_5
    | spl0_84
    | spl0_85
    | ~ spl0_125 ),
    inference(avatar_contradiction_clause,[],[f982]) ).

fof(f986,definition,
    ( spl0_157
  <=> c1_1(a856) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f987,plain,
    ( ~ c1_1(a856)
    | spl0_157 ),
    inference(avatar_component_clause,[],[f986]) ).

fof(f995,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_5
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[],[f252,f212]) ).

fof(f1000,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_8
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[],[f255,f222]) ).

fof(f1001,plain,
    ( ~ c1_1(a805)
    | c0_1(a805)
    | ~ spl0_5
    | spl0_75 ),
    inference(resolution,[],[f508,f212]) ).

fof(f1003,definition,
    ( spl0_158
  <=> c0_1(a805) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f1007,plain,
    ( ~ c0_1(a805)
    | ~ c1_1(a805)
    | ~ spl0_12
    | spl0_76 ),
    inference(resolution,[],[f512,f235]) ).

fof(f1008,plain,
    ( c3_1(a805)
    | ~ c1_1(a805)
    | ~ spl0_8
    | spl0_76 ),
    inference(resolution,[],[f512,f222]) ).

fof(f1009,plain,
    ( ~ c1_1(a805)
    | ~ spl0_8
    | spl0_75
    | spl0_76 ),
    inference(forward_subsumption_resolution,[],[f1008,f508]) ).

fof(f1012,plain,
    ( ~ spl0_119
    | ~ spl0_8
    | spl0_75
    | spl0_76 ),
    inference(avatar_split_clause,[],[f1009,f511,f507,f221,f701]) ).

fof(f1022,plain,
    ( ~ c0_1(a825)
    | ~ c1_1(a825)
    | ~ spl0_12
    | spl0_92 ),
    inference(resolution,[],[f585,f235]) ).

fof(f1038,plain,
    ( ~ c1_1(a806)
    | ~ spl0_8
    | ~ spl0_18
    | spl0_77 ),
    inference(resolution,[],[f1000,f517]) ).

fof(f1045,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_18
    | spl0_77
    | ~ spl0_120 ),
    inference(forward_subsumption_resolution,[],[f1038,f706]) ).

fof(f1046,plain,
    ( ~ spl0_8
    | ~ spl0_18
    | spl0_77
    | ~ spl0_120 ),
    inference(avatar_contradiction_clause,[],[f1045]) ).

fof(f1050,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_5
    | ~ spl0_17
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[],[f260,f995]) ).

fof(f1056,plain,
    ( c0_1(a794)
    | ~ spl0_5
    | ~ spl0_17
    | ~ spl0_19
    | ~ spl0_110 ),
    inference(resolution,[],[f1050,f666]) ).

fof(f1058,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_17
    | ~ spl0_19
    | spl0_64
    | ~ spl0_110 ),
    inference(forward_subsumption_resolution,[],[f1056,f457]) ).

fof(f1059,plain,
    ( ~ spl0_5
    | ~ spl0_17
    | ~ spl0_19
    | spl0_64
    | ~ spl0_110 ),
    inference(avatar_contradiction_clause,[],[f1058]) ).

fof(f1062,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[],[f267,f239]) ).

fof(f1067,plain,
    ( c0_1(a805)
    | ~ spl0_13
    | ~ spl0_21
    | spl0_75 ),
    inference(resolution,[],[f1062,f508]) ).

fof(f1069,plain,
    ( c0_1(a807)
    | ~ spl0_13
    | ~ spl0_21
    | spl0_78 ),
    inference(resolution,[],[f1062,f522]) ).

fof(f1072,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_5
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[],[f271,f212]) ).

fof(f1079,plain,
    ( c0_1(a807)
    | ~ spl0_5
    | ~ spl0_22
    | spl0_78 ),
    inference(resolution,[],[f1072,f522]) ).

fof(f1080,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_22
    | spl0_78
    | spl0_80 ),
    inference(forward_subsumption_resolution,[],[f1079,f530]) ).

fof(f1081,plain,
    ( ~ spl0_5
    | ~ spl0_22
    | spl0_78
    | spl0_80 ),
    inference(avatar_contradiction_clause,[],[f1080]) ).

fof(f1082,plain,
    ( ~ c0_1(a796)
    | ~ c1_1(a796)
    | ~ spl0_4
    | ~ spl0_143 ),
    inference(resolution,[],[f798,f208]) ).

fof(f1086,plain,
    ( ~ c3_1(a796)
    | ~ c0_1(a796)
    | ~ spl0_7
    | ~ spl0_144 ),
    inference(resolution,[],[f803,f218]) ).

fof(f1087,plain,
    ( ~ c0_1(a796)
    | ~ spl0_7
    | ~ spl0_143
    | ~ spl0_144 ),
    inference(forward_subsumption_resolution,[],[f1086,f798]) ).

fof(f1090,plain,
    ( ~ c0_1(a856)
    | c1_1(a856)
    | ~ spl0_25
    | spl0_102 ),
    inference(resolution,[],[f281,f631]) ).

fof(f1091,plain,
    ( ~ c0_1(a832)
    | c1_1(a832)
    | ~ spl0_25
    | spl0_96 ),
    inference(resolution,[],[f281,f603]) ).

fof(f1094,plain,
    ( ~ c0_1(a798)
    | c1_1(a798)
    | ~ spl0_25
    | spl0_68 ),
    inference(resolution,[],[f281,f475]) ).

fof(f1097,plain,
    ( c1_1(a798)
    | ~ spl0_25
    | spl0_68
    | ~ spl0_112 ),
    inference(forward_subsumption_resolution,[],[f1094,f674]) ).

fof(f1099,plain,
    ( c1_1(a832)
    | ~ spl0_13
    | ~ spl0_25
    | spl0_96
    | ~ spl0_131 ),
    inference(forward_subsumption_resolution,[],[f1091,f945]) ).

fof(f1103,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_25
    | spl0_96
    | spl0_97
    | ~ spl0_131 ),
    inference(forward_subsumption_resolution,[],[f1099,f607]) ).

fof(f1104,plain,
    ( ~ spl0_13
    | ~ spl0_25
    | spl0_96
    | spl0_97
    | ~ spl0_131 ),
    inference(avatar_contradiction_clause,[],[f1103]) ).

fof(f1111,plain,
    ( ~ c3_1(a838)
    | c1_1(a838)
    | ~ spl0_24
    | spl0_100 ),
    inference(resolution,[],[f278,f621]) ).

fof(f1114,plain,
    ( ~ c3_1(a808)
    | c1_1(a808)
    | ~ spl0_24
    | spl0_81 ),
    inference(resolution,[],[f278,f535]) ).

fof(f1120,plain,
    ( c1_1(a808)
    | ~ spl0_24
    | spl0_81
    | ~ spl0_122 ),
    inference(forward_subsumption_resolution,[],[f1114,f714]) ).

fof(f1123,plain,
    ( c1_1(a838)
    | ~ spl0_24
    | spl0_100
    | ~ spl0_133 ),
    inference(forward_subsumption_resolution,[],[f1111,f758]) ).

fof(f1125,plain,
    ( $false
    | ~ spl0_24
    | spl0_81
    | spl0_82
    | ~ spl0_122 ),
    inference(forward_subsumption_resolution,[],[f1120,f539]) ).

fof(f1126,plain,
    ( ~ spl0_24
    | spl0_81
    | spl0_82
    | ~ spl0_122 ),
    inference(avatar_contradiction_clause,[],[f1125]) ).

fof(f1129,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_24
    | spl0_100
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(forward_subsumption_resolution,[],[f1123,f890]) ).

fof(f1130,plain,
    ( ~ spl0_4
    | ~ spl0_24
    | spl0_100
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(avatar_contradiction_clause,[],[f1129]) ).

fof(f1132,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[],[f242,f222]) ).

fof(f1134,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_12
    | ~ spl0_41 ),
    inference(forward_subsumption_resolution,[],[f344,f235]) ).

fof(f1178,plain,
    ( ~ c0_1(a856)
    | ~ spl0_12
    | ~ spl0_41
    | spl0_103 ),
    inference(resolution,[],[f1134,f635]) ).

fof(f1180,plain,
    ( ~ c0_1(a816)
    | ~ spl0_12
    | ~ spl0_41
    | spl0_86 ),
    inference(resolution,[],[f1134,f558]) ).

fof(f1198,plain,
    ( c3_1(a832)
    | c0_1(a832)
    | ~ spl0_13
    | ~ spl0_131 ),
    inference(resolution,[],[f239,f750]) ).

fof(f1199,plain,
    ( c3_1(a809)
    | c0_1(a809)
    | ~ spl0_13
    | ~ spl0_123 ),
    inference(resolution,[],[f239,f718]) ).

fof(f1206,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_143
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(forward_subsumption_resolution,[],[f1087,f807]) ).

fof(f1207,plain,
    ( ~ spl0_7
    | ~ spl0_143
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(avatar_contradiction_clause,[],[f1206]) ).

fof(f1209,plain,
    ( ~ c0_1(a797)
    | ~ c1_1(a797)
    | ~ spl0_4
    | ~ spl0_146 ),
    inference(resolution,[],[f811,f208]) ).

fof(f1212,plain,
    ( c0_1(a797)
    | ~ c1_1(a797)
    | ~ spl0_11
    | ~ spl0_147 ),
    inference(resolution,[],[f816,f232]) ).

fof(f1266,definition,
    ( spl0_164
  <=> c3_1(a833) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f1267,plain,
    ( c3_1(a833)
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f1266]) ).

fof(f1270,plain,
    ( ~ c3_1(a833)
    | spl0_164 ),
    inference(avatar_component_clause,[],[f1266]) ).

fof(f1283,plain,
    ( ~ spl0_126
    | ~ spl0_12
    | ~ spl0_41
    | spl0_86 ),
    inference(avatar_split_clause,[],[f1180,f557,f343,f234,f729]) ).

fof(f1287,plain,
    ( c0_1(a833)
    | ~ spl0_5
    | ~ spl0_17
    | ~ spl0_132 ),
    inference(resolution,[],[f754,f995]) ).

fof(f1288,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_17
    | spl0_99
    | ~ spl0_132 ),
    inference(forward_subsumption_resolution,[],[f1287,f616]) ).

fof(f1289,plain,
    ( ~ spl0_5
    | ~ spl0_17
    | spl0_99
    | ~ spl0_132 ),
    inference(avatar_contradiction_clause,[],[f1288]) ).

fof(f1291,plain,
    ( c0_1(a840)
    | ~ spl0_5
    | ~ spl0_17
    | ~ spl0_136 ),
    inference(resolution,[],[f770,f995]) ).

fof(f1292,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_17
    | spl0_101
    | ~ spl0_136 ),
    inference(forward_subsumption_resolution,[],[f1291,f626]) ).

fof(f1293,plain,
    ( ~ spl0_5
    | ~ spl0_17
    | spl0_101
    | ~ spl0_136 ),
    inference(avatar_contradiction_clause,[],[f1292]) ).

fof(f1343,plain,
    ( c0_1(a805)
    | ~ spl0_5
    | ~ spl0_17
    | ~ spl0_119 ),
    inference(resolution,[],[f702,f995]) ).

fof(f1344,plain,
    ( spl0_158
    | ~ spl0_5
    | ~ spl0_17
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1343,f701,f251,f211,f1003]) ).

fof(f1374,plain,
    ( c0_1(a809)
    | ~ c3_1(a809)
    | ~ spl0_1
    | ~ spl0_123 ),
    inference(resolution,[],[f199,f718]) ).

fof(f1375,plain,
    ( c0_1(a802)
    | ~ c3_1(a802)
    | ~ spl0_1
    | ~ spl0_116 ),
    inference(resolution,[],[f199,f690]) ).

fof(f1379,plain,
    ( ~ c3_1(a809)
    | ~ spl0_1
    | spl0_83
    | ~ spl0_123 ),
    inference(forward_subsumption_resolution,[],[f1374,f544]) ).

fof(f1383,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f202,f232]) ).

fof(f1401,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_5
    | ~ spl0_15
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[],[f274,f946]) ).

fof(f1416,plain,
    ( c3_1(a798)
    | ~ spl0_5
    | ~ spl0_15
    | ~ spl0_23
    | ~ spl0_111 ),
    inference(resolution,[],[f1401,f670]) ).

fof(f1419,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_15
    | ~ spl0_23
    | spl0_68
    | ~ spl0_111 ),
    inference(forward_subsumption_resolution,[],[f1416,f475]) ).

fof(f1420,plain,
    ( ~ spl0_5
    | ~ spl0_15
    | ~ spl0_23
    | spl0_68
    | ~ spl0_111 ),
    inference(avatar_contradiction_clause,[],[f1419]) ).

fof(f1444,definition,
    ( spl0_168
  <=> c0_1(a832) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f1475,plain,
    ( c0_1(a869)
    | ~ c3_1(a869)
    | ~ spl0_1
    | ~ spl0_142 ),
    inference(resolution,[],[f199,f794]) ).

fof(f1519,plain,
    ( c3_1(a856)
    | ~ c1_1(a856)
    | ~ spl0_8
    | spl0_103 ),
    inference(resolution,[],[f635,f222]) ).

fof(f1546,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(forward_subsumption_resolution,[],[f218,f199]) ).

fof(f1560,plain,
    ( ~ c3_1(a797)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_147 ),
    inference(resolution,[],[f1546,f816]) ).

fof(f1566,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_146
    | ~ spl0_147 ),
    inference(forward_subsumption_resolution,[],[f1560,f811]) ).

fof(f1567,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_146
    | ~ spl0_147 ),
    inference(avatar_contradiction_clause,[],[f1566]) ).

fof(f1587,plain,
    ( ~ c3_1(a794)
    | c0_1(a794)
    | ~ spl0_16
    | spl0_63 ),
    inference(resolution,[],[f249,f453]) ).

fof(f1589,plain,
    ( ~ c3_1(a821)
    | c0_1(a821)
    | ~ spl0_16
    | spl0_89 ),
    inference(resolution,[],[f249,f572]) ).

fof(f1592,plain,
    ( ~ c3_1(a821)
    | ~ spl0_16
    | spl0_89
    | spl0_91 ),
    inference(forward_subsumption_resolution,[],[f1589,f580]) ).

fof(f1636,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c3_1(X1) )
    | ~ spl0_8
    | ~ spl0_43 ),
    inference(forward_subsumption_resolution,[],[f351,f222]) ).

fof(f1638,plain,
    ( c3_1(a856)
    | ~ spl0_8
    | ~ spl0_43
    | spl0_103 ),
    inference(resolution,[],[f1636,f635]) ).

fof(f1645,plain,
    ( c3_1(a807)
    | ~ spl0_8
    | ~ spl0_43
    | spl0_79 ),
    inference(resolution,[],[f1636,f526]) ).

fof(f1670,plain,
    ( c1_1(a798)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f925]) ).

fof(f1678,plain,
    ( ~ c1_1(a809)
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_123 ),
    inference(resolution,[],[f1383,f718]) ).

fof(f1682,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_123
    | ~ spl0_124 ),
    inference(forward_subsumption_resolution,[],[f1678,f722]) ).

fof(f1683,plain,
    ( ~ spl0_2
    | ~ spl0_11
    | ~ spl0_123
    | ~ spl0_124 ),
    inference(avatar_contradiction_clause,[],[f1682]) ).

fof(f1697,plain,
    ( c1_1(a796)
    | ~ c3_1(a796)
    | ~ spl0_6
    | ~ spl0_144 ),
    inference(resolution,[],[f215,f803]) ).

fof(f1704,plain,
    ( c1_1(a796)
    | ~ spl0_6
    | ~ spl0_143
    | ~ spl0_144 ),
    inference(forward_subsumption_resolution,[],[f1697,f798]) ).

fof(f1708,plain,
    ( ~ c0_1(a838)
    | ~ c3_1(a838)
    | ~ spl0_9
    | spl0_100 ),
    inference(resolution,[],[f225,f621]) ).

fof(f1711,plain,
    ( ~ c0_1(a808)
    | ~ c3_1(a808)
    | ~ spl0_9
    | spl0_81 ),
    inference(resolution,[],[f225,f535]) ).

fof(f1720,plain,
    ( ~ c3_1(a838)
    | ~ spl0_9
    | spl0_100
    | ~ spl0_134 ),
    inference(forward_subsumption_resolution,[],[f1708,f762]) ).

fof(f1727,plain,
    ( c0_1(a809)
    | ~ c1_1(a809)
    | ~ spl0_11
    | ~ spl0_123 ),
    inference(resolution,[],[f232,f718]) ).

fof(f1731,plain,
    ( ~ c1_1(a809)
    | ~ spl0_11
    | spl0_83
    | ~ spl0_123 ),
    inference(forward_subsumption_resolution,[],[f1727,f544]) ).

fof(f1732,plain,
    ( $false
    | ~ spl0_11
    | spl0_83
    | ~ spl0_123
    | ~ spl0_124 ),
    inference(forward_subsumption_resolution,[],[f1731,f722]) ).

fof(f1733,plain,
    ( ~ spl0_11
    | spl0_83
    | ~ spl0_123
    | ~ spl0_124 ),
    inference(avatar_contradiction_clause,[],[f1732]) ).

fof(f1745,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | ~ c3_1(X2) )
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[],[f249,f225]) ).

fof(f1749,plain,
    ( ~ c0_1(a808)
    | ~ spl0_9
    | spl0_81
    | ~ spl0_122 ),
    inference(forward_subsumption_resolution,[],[f1711,f714]) ).

fof(f1752,plain,
    ( ~ spl0_156
    | ~ spl0_9
    | spl0_81
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1749,f713,f534,f224,f965]) ).

fof(f1800,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_6
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[],[f274,f215]) ).

fof(f1801,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[],[f202,f1132]) ).

fof(f1806,plain,
    ( ~ c3_1(a794)
    | ~ spl0_9
    | ~ spl0_16
    | spl0_63 ),
    inference(resolution,[],[f1745,f453]) ).

fof(f1811,plain,
    ( ~ spl0_110
    | ~ spl0_9
    | ~ spl0_16
    | spl0_63 ),
    inference(avatar_split_clause,[],[f1806,f452,f248,f224,f665]) ).

fof(f1818,plain,
    ( c1_1(a832)
    | ~ spl0_6
    | ~ spl0_23
    | ~ spl0_131 ),
    inference(resolution,[],[f1800,f750]) ).

fof(f1828,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_23
    | spl0_97
    | ~ spl0_131 ),
    inference(forward_subsumption_resolution,[],[f1818,f607]) ).

fof(f1829,plain,
    ( ~ spl0_6
    | ~ spl0_23
    | spl0_97
    | ~ spl0_131 ),
    inference(avatar_contradiction_clause,[],[f1828]) ).

fof(f1861,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[],[f228,f1072]) ).

fof(f1873,plain,
    ( ~ c1_1(a833)
    | ~ spl0_8
    | ~ spl0_14
    | spl0_98 ),
    inference(resolution,[],[f1132,f612]) ).

fof(f1878,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_14
    | spl0_98
    | ~ spl0_132 ),
    inference(forward_subsumption_resolution,[],[f1873,f754]) ).

fof(f1879,plain,
    ( ~ spl0_8
    | ~ spl0_14
    | spl0_98
    | ~ spl0_132 ),
    inference(avatar_contradiction_clause,[],[f1878]) ).

fof(f1891,plain,
    ( c3_1(a832)
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_22
    | ~ spl0_131 ),
    inference(resolution,[],[f1861,f750]) ).

fof(f1909,plain,
    ( spl0_102
    | ~ spl0_8
    | ~ spl0_43
    | spl0_103 ),
    inference(avatar_split_clause,[],[f1638,f634,f350,f221,f630]) ).

fof(f1940,plain,
    ( ~ spl0_157
    | spl0_102
    | ~ spl0_8
    | spl0_103 ),
    inference(avatar_split_clause,[],[f1519,f634,f221,f630,f986]) ).

fof(f1952,plain,
    ( c1_1(a817)
    | ~ c3_1(a817)
    | ~ spl0_6
    | ~ spl0_128 ),
    inference(resolution,[],[f738,f215]) ).

fof(f1953,plain,
    ( ~ c3_1(a817)
    | ~ spl0_6
    | spl0_88
    | ~ spl0_128 ),
    inference(forward_subsumption_resolution,[],[f1952,f567]) ).

fof(f1954,plain,
    ( $false
    | ~ spl0_6
    | spl0_88
    | ~ spl0_127
    | ~ spl0_128 ),
    inference(forward_subsumption_resolution,[],[f1953,f734]) ).

fof(f1955,plain,
    ( ~ spl0_6
    | spl0_88
    | ~ spl0_127
    | ~ spl0_128 ),
    inference(avatar_contradiction_clause,[],[f1954]) ).

fof(f1975,definition,
    ( spl0_170
  <=> c1_1(a796) ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

fof(f1982,plain,
    ( ~ c0_1(a797)
    | ~ spl0_4
    | ~ spl0_146
    | ~ spl0_148 ),
    inference(forward_subsumption_resolution,[],[f1209,f820]) ).

fof(f2008,plain,
    ( c0_1(a797)
    | ~ spl0_11
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(forward_subsumption_resolution,[],[f1212,f820]) ).

fof(f2021,plain,
    ( ~ c0_1(a829)
    | ~ spl0_4
    | ~ spl0_15
    | ~ spl0_150 ),
    inference(resolution,[],[f959,f829]) ).

fof(f2027,plain,
    ( ~ c0_1(a806)
    | ~ spl0_4
    | ~ spl0_15
    | ~ spl0_120 ),
    inference(resolution,[],[f959,f706]) ).

fof(f2028,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_15
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(forward_subsumption_resolution,[],[f2027,f710]) ).

fof(f2029,plain,
    ( ~ spl0_4
    | ~ spl0_15
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(avatar_contradiction_clause,[],[f2028]) ).

fof(f2046,plain,
    ( ~ spl0_151
    | ~ spl0_4
    | ~ spl0_15
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f2021,f828,f244,f207,f832]) ).

fof(f2094,plain,
    ( c0_1(a821)
    | ~ spl0_13
    | ~ spl0_16
    | ~ spl0_21
    | spl0_89
    | spl0_91 ),
    inference(resolution,[],[f1592,f1062]) ).

fof(f2097,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_16
    | ~ spl0_21
    | spl0_89
    | spl0_91 ),
    inference(forward_subsumption_resolution,[],[f2094,f580]) ).

fof(f2098,plain,
    ( ~ spl0_13
    | ~ spl0_16
    | ~ spl0_21
    | spl0_89
    | spl0_91 ),
    inference(avatar_contradiction_clause,[],[f2097]) ).

fof(f2099,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f232,f959]) ).

fof(f2100,plain,
    ( ~ c1_1(a797)
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_147 ),
    inference(resolution,[],[f2099,f816]) ).

fof(f2109,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(forward_subsumption_resolution,[],[f2100,f820]) ).

fof(f2110,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f2109]) ).

fof(f2113,plain,
    ( ~ spl0_137
    | ~ spl0_12
    | ~ spl0_41
    | spl0_103 ),
    inference(avatar_split_clause,[],[f1178,f634,f343,f234,f773]) ).

fof(f2120,definition,
    ( spl0_171
  <=> c1_1(a869) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f2143,plain,
    ( ~ c0_1(a838)
    | ~ spl0_12
    | ~ spl0_41
    | spl0_100 ),
    inference(resolution,[],[f1134,f621]) ).

fof(f2150,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_41
    | spl0_100
    | ~ spl0_134 ),
    inference(forward_subsumption_resolution,[],[f2143,f762]) ).

fof(f2151,plain,
    ( ~ spl0_12
    | ~ spl0_41
    | spl0_100
    | ~ spl0_134 ),
    inference(avatar_contradiction_clause,[],[f2150]) ).

fof(f2163,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_13
    | ~ spl0_19
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[],[f260,f1062]) ).

fof(f2177,plain,
    ( c0_1(a821)
    | ~ spl0_13
    | ~ spl0_19
    | ~ spl0_21
    | spl0_90 ),
    inference(resolution,[],[f2163,f576]) ).

fof(f2182,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_19
    | ~ spl0_21
    | spl0_90
    | spl0_91 ),
    inference(forward_subsumption_resolution,[],[f2177,f580]) ).

fof(f2183,plain,
    ( ~ spl0_13
    | ~ spl0_19
    | ~ spl0_21
    | spl0_90
    | spl0_91 ),
    inference(avatar_contradiction_clause,[],[f2182]) ).

fof(f2190,plain,
    ( c0_1(a802)
    | ~ spl0_1
    | ~ spl0_13
    | ~ spl0_21
    | ~ spl0_116 ),
    inference(forward_subsumption_resolution,[],[f1375,f1062]) ).

fof(f2201,plain,
    ( ~ c1_1(a796)
    | ~ spl0_4
    | ~ spl0_143
    | ~ spl0_145 ),
    inference(forward_subsumption_resolution,[],[f1082,f807]) ).

fof(f2211,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_143
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(forward_subsumption_resolution,[],[f2201,f1704]) ).

fof(f2212,plain,
    ( ~ spl0_4
    | ~ spl0_6
    | ~ spl0_143
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(avatar_contradiction_clause,[],[f2211]) ).

fof(f2251,plain,
    ( ~ c0_1(a867)
    | ~ c1_1(a867)
    | ~ spl0_4
    | ~ spl0_152 ),
    inference(resolution,[],[f208,f837]) ).

fof(f2266,plain,
    ( ~ c1_1(a867)
    | ~ spl0_4
    | ~ spl0_152
    | ~ spl0_154 ),
    inference(forward_subsumption_resolution,[],[f2251,f846]) ).

fof(f2267,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_152
    | ~ spl0_153
    | ~ spl0_154 ),
    inference(forward_subsumption_resolution,[],[f2266,f842]) ).

fof(f2268,plain,
    ( ~ spl0_4
    | ~ spl0_152
    | ~ spl0_153
    | ~ spl0_154 ),
    inference(avatar_contradiction_clause,[],[f2267]) ).

fof(f2308,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(resolution,[],[f242,f232]) ).

fof(f2318,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(duplicate_literal_removal,[],[f2308]) ).

fof(f2343,plain,
    ( ~ c1_1(a833)
    | c0_1(a833)
    | ~ spl0_5
    | spl0_164 ),
    inference(resolution,[],[f1270,f212]) ).

fof(f2344,plain,
    ( c0_1(a833)
    | ~ spl0_5
    | ~ spl0_132
    | spl0_164 ),
    inference(forward_subsumption_resolution,[],[f2343,f754]) ).

fof(f2347,plain,
    ( $false
    | ~ spl0_5
    | spl0_99
    | ~ spl0_132
    | spl0_164 ),
    inference(forward_subsumption_resolution,[],[f2344,f616]) ).

fof(f2348,plain,
    ( ~ spl0_5
    | spl0_99
    | ~ spl0_132
    | spl0_164 ),
    inference(avatar_contradiction_clause,[],[f2347]) ).

fof(f2355,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[],[f228,f1062]) ).

fof(f2372,plain,
    ( ~ c0_1(a798)
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_111 ),
    inference(resolution,[],[f911,f670]) ).

fof(f2385,plain,
    ( ~ spl0_112
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f2372,f669,f227,f217,f673]) ).

fof(f2409,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_4
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[],[f252,f208]) ).

fof(f2410,plain,
    ( ~ c0_1(a856)
    | ~ spl0_25
    | spl0_102
    | spl0_157 ),
    inference(forward_subsumption_resolution,[],[f1090,f987]) ).

fof(f2412,plain,
    ( ~ spl0_137
    | ~ spl0_25
    | spl0_102
    | spl0_157 ),
    inference(avatar_split_clause,[],[f2410,f986,f630,f280,f773]) ).

fof(f2454,plain,
    ( ~ c1_1(a797)
    | ~ spl0_4
    | ~ spl0_17
    | ~ spl0_146 ),
    inference(resolution,[],[f2409,f811]) ).

fof(f2467,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_17
    | ~ spl0_146
    | ~ spl0_148 ),
    inference(forward_subsumption_resolution,[],[f2454,f820]) ).

fof(f2468,plain,
    ( ~ spl0_4
    | ~ spl0_17
    | ~ spl0_146
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f2467]) ).

fof(f2476,plain,
    ( spl0_15
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f913,f227,f221,f217,f244]) ).

fof(f2487,plain,
    ( ~ c0_1(a806)
    | ~ c1_1(a806)
    | ~ spl0_15
    | spl0_77 ),
    inference(resolution,[],[f245,f517]) ).

fof(f2490,plain,
    ( ~ c1_1(a806)
    | ~ spl0_15
    | spl0_77
    | ~ spl0_121 ),
    inference(forward_subsumption_resolution,[],[f2487,f710]) ).

fof(f2492,plain,
    ( $false
    | ~ spl0_15
    | spl0_77
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(forward_subsumption_resolution,[],[f2490,f706]) ).

fof(f2493,plain,
    ( ~ spl0_15
    | spl0_77
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(avatar_contradiction_clause,[],[f2492]) ).

fof(f2507,plain,
    ( ~ spl0_133
    | ~ spl0_9
    | spl0_100
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1720,f761,f620,f224,f757]) ).

fof(f2525,plain,
    ( spl0_17
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f2318,f241,f231,f251]) ).

fof(f2529,plain,
    ( ~ c3_1(a794)
    | ~ spl0_16
    | spl0_63
    | spl0_64 ),
    inference(forward_subsumption_resolution,[],[f1587,f457]) ).

fof(f2533,plain,
    ( spl0_155
    | ~ spl0_25
    | spl0_68
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1097,f673,f474,f280,f925]) ).

fof(f2544,plain,
    ( ~ spl0_110
    | ~ spl0_16
    | spl0_63
    | spl0_64 ),
    inference(avatar_split_clause,[],[f2529,f456,f452,f248,f665]) ).

fof(f2557,plain,
    ( spl0_4
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f938,f234,f217,f207]) ).

fof(f2559,plain,
    ( ~ c0_1(a825)
    | ~ spl0_12
    | spl0_92
    | ~ spl0_129 ),
    inference(forward_subsumption_resolution,[],[f1022,f742]) ).

fof(f2571,plain,
    ( ~ spl0_130
    | ~ spl0_12
    | spl0_92
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f2559,f741,f584,f234,f745]) ).

fof(f2590,plain,
    ( ~ c0_1(a796)
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_143 ),
    inference(resolution,[],[f902,f798]) ).

fof(f2601,plain,
    ( ~ spl0_145
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f2590,f797,f224,f217,f806]) ).

fof(f2625,plain,
    ( ~ c0_1(a806)
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_14
    | ~ spl0_120 ),
    inference(resolution,[],[f1801,f706]) ).

fof(f2629,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_14
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(forward_subsumption_resolution,[],[f2625,f710]) ).

fof(f2630,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | ~ spl0_14
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(avatar_contradiction_clause,[],[f2629]) ).

fof(f2636,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[],[f215,f1745]) ).

fof(f2643,plain,
    ( c1_1(a808)
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_16
    | ~ spl0_122 ),
    inference(resolution,[],[f2636,f714]) ).

fof(f2644,plain,
    ( c1_1(a800)
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_16
    | ~ spl0_115 ),
    inference(resolution,[],[f2636,f686]) ).

fof(f2648,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_16
    | spl0_70
    | ~ spl0_115 ),
    inference(forward_subsumption_resolution,[],[f2644,f485]) ).

fof(f2649,plain,
    ( ~ spl0_6
    | ~ spl0_9
    | ~ spl0_16
    | spl0_70
    | ~ spl0_115 ),
    inference(avatar_contradiction_clause,[],[f2648]) ).

fof(f2650,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_16
    | spl0_82
    | ~ spl0_122 ),
    inference(forward_subsumption_resolution,[],[f2643,f539]) ).

fof(f2651,plain,
    ( ~ spl0_6
    | ~ spl0_9
    | ~ spl0_16
    | spl0_82
    | ~ spl0_122 ),
    inference(avatar_contradiction_clause,[],[f2650]) ).

fof(f2665,plain,
    ( c1_1(a832)
    | ~ c0_1(a832)
    | ~ spl0_20
    | ~ spl0_131 ),
    inference(resolution,[],[f263,f750]) ).

fof(f2743,plain,
    ( ~ c0_1(a829)
    | ~ c1_1(a829)
    | ~ spl0_2
    | ~ spl0_149 ),
    inference(resolution,[],[f202,f824]) ).

fof(f2748,plain,
    ( ~ c0_1(a798)
    | ~ c1_1(a798)
    | ~ spl0_2
    | ~ spl0_111 ),
    inference(resolution,[],[f202,f670]) ).

fof(f2750,plain,
    ( ~ c1_1(a798)
    | ~ spl0_2
    | ~ spl0_111
    | ~ spl0_112 ),
    inference(forward_subsumption_resolution,[],[f2748,f674]) ).

fof(f2752,plain,
    ( ~ c1_1(a829)
    | ~ spl0_2
    | ~ spl0_149
    | ~ spl0_151 ),
    inference(forward_subsumption_resolution,[],[f2743,f833]) ).

fof(f2753,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_111
    | ~ spl0_112
    | ~ spl0_155 ),
    inference(forward_subsumption_resolution,[],[f2750,f1670]) ).

fof(f2754,plain,
    ( ~ spl0_2
    | ~ spl0_111
    | ~ spl0_112
    | ~ spl0_155 ),
    inference(avatar_contradiction_clause,[],[f2753]) ).

fof(f2755,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_149
    | ~ spl0_150
    | ~ spl0_151 ),
    inference(forward_subsumption_resolution,[],[f2752,f829]) ).

fof(f2756,plain,
    ( ~ spl0_2
    | ~ spl0_149
    | ~ spl0_150
    | ~ spl0_151 ),
    inference(avatar_contradiction_clause,[],[f2755]) ).

fof(f2768,plain,
    ( ~ c0_1(a796)
    | ~ c1_1(a796)
    | ~ spl0_4
    | ~ spl0_143 ),
    inference(resolution,[],[f208,f798]) ).

fof(f2795,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_6
    | ~ spl0_16 ),
    inference(resolution,[],[f249,f215]) ).

fof(f2802,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_6
    | ~ spl0_16 ),
    inference(duplicate_literal_removal,[],[f2795]) ).

fof(f2804,plain,
    ( spl0_19
    | ~ spl0_6
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f2802,f248,f214,f259]) ).

fof(f2807,plain,
    ( c1_1(a869)
    | c0_1(a869)
    | ~ spl0_19
    | ~ spl0_141 ),
    inference(resolution,[],[f260,f790]) ).

fof(f2811,plain,
    ( c1_1(a808)
    | c0_1(a808)
    | ~ spl0_19
    | ~ spl0_122 ),
    inference(resolution,[],[f260,f714]) ).

fof(f2812,plain,
    ( c1_1(a800)
    | c0_1(a800)
    | ~ spl0_19
    | ~ spl0_115 ),
    inference(resolution,[],[f260,f686]) ).

fof(f2816,plain,
    ( c0_1(a800)
    | ~ spl0_19
    | spl0_70
    | ~ spl0_115 ),
    inference(forward_subsumption_resolution,[],[f2812,f485]) ).

fof(f2822,plain,
    ( $false
    | ~ spl0_19
    | spl0_70
    | spl0_71
    | ~ spl0_115 ),
    inference(forward_subsumption_resolution,[],[f2816,f489]) ).

fof(f2823,plain,
    ( ~ spl0_19
    | spl0_70
    | spl0_71
    | ~ spl0_115 ),
    inference(avatar_contradiction_clause,[],[f2822]) ).

fof(f2827,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_16
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[],[f267,f249]) ).

fof(f2836,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_19
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[],[f271,f260]) ).

fof(f2848,plain,
    ( c0_1(a795)
    | ~ spl0_19
    | ~ spl0_22
    | spl0_66 ),
    inference(resolution,[],[f2836,f466]) ).

fof(f2849,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_22
    | spl0_66
    | spl0_67 ),
    inference(forward_subsumption_resolution,[],[f2848,f470]) ).

fof(f2850,plain,
    ( ~ spl0_19
    | ~ spl0_22
    | spl0_66
    | spl0_67 ),
    inference(avatar_contradiction_clause,[],[f2849]) ).

fof(f2867,plain,
    ( spl0_78
    | ~ spl0_8
    | ~ spl0_43
    | spl0_79 ),
    inference(avatar_split_clause,[],[f1645,f525,f350,f221,f521]) ).

fof(f2911,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_6
    | ~ spl0_36 ),
    inference(forward_subsumption_resolution,[],[f324,f215]) ).

fof(f2917,plain,
    ( ~ c3_1(a797)
    | ~ spl0_6
    | ~ spl0_36
    | ~ spl0_147 ),
    inference(resolution,[],[f2911,f816]) ).

fof(f2926,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_36
    | ~ spl0_146
    | ~ spl0_147 ),
    inference(forward_subsumption_resolution,[],[f2917,f811]) ).

fof(f2927,plain,
    ( ~ spl0_6
    | ~ spl0_36
    | ~ spl0_146
    | ~ spl0_147 ),
    inference(avatar_contradiction_clause,[],[f2926]) ).

fof(f2952,plain,
    ( c0_1(a833)
    | ~ spl0_16
    | ~ spl0_21
    | spl0_98 ),
    inference(resolution,[],[f612,f2827]) ).

fof(f2953,plain,
    ( ~ c3_1(a833)
    | c0_1(a833)
    | ~ spl0_16
    | spl0_98 ),
    inference(resolution,[],[f612,f249]) ).

fof(f2954,plain,
    ( c0_1(a833)
    | ~ spl0_16
    | spl0_98
    | ~ spl0_164 ),
    inference(forward_subsumption_resolution,[],[f2953,f1267]) ).

fof(f2955,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_21
    | spl0_98
    | spl0_99 ),
    inference(forward_subsumption_resolution,[],[f2952,f616]) ).

fof(f2956,plain,
    ( ~ spl0_16
    | ~ spl0_21
    | spl0_98
    | spl0_99 ),
    inference(avatar_contradiction_clause,[],[f2955]) ).

fof(f2957,plain,
    ( $false
    | ~ spl0_16
    | spl0_98
    | spl0_99
    | ~ spl0_164 ),
    inference(forward_subsumption_resolution,[],[f2954,f616]) ).

fof(f2958,plain,
    ( ~ spl0_16
    | spl0_98
    | spl0_99
    | ~ spl0_164 ),
    inference(avatar_contradiction_clause,[],[f2957]) ).

fof(f2993,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_36 ),
    inference(forward_subsumption_resolution,[],[f228,f2911]) ).

fof(f2994,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_36 ),
    inference(resolution,[],[f2993,f222]) ).

fof(f3001,plain,
    ( ~ c0_1(a798)
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_36
    | ~ spl0_111 ),
    inference(resolution,[],[f2993,f670]) ).

fof(f3005,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_36
    | ~ spl0_111
    | ~ spl0_112 ),
    inference(forward_subsumption_resolution,[],[f3001,f674]) ).

fof(f3006,plain,
    ( ~ spl0_6
    | ~ spl0_10
    | ~ spl0_36
    | ~ spl0_111
    | ~ spl0_112 ),
    inference(avatar_contradiction_clause,[],[f3005]) ).

fof(f3009,plain,
    ( spl0_15
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f2994,f323,f227,f221,f214,f244]) ).

fof(f3012,plain,
    ( spl0_158
    | ~ spl0_13
    | ~ spl0_21
    | spl0_75 ),
    inference(avatar_split_clause,[],[f1067,f507,f266,f238,f1003]) ).

fof(f3013,plain,
    ( spl0_80
    | ~ spl0_13
    | ~ spl0_21
    | spl0_78 ),
    inference(avatar_split_clause,[],[f1069,f521,f266,f238,f529]) ).

fof(f3017,plain,
    ( c0_1(a809)
    | ~ spl0_1
    | ~ spl0_13
    | spl0_83
    | ~ spl0_123 ),
    inference(forward_subsumption_resolution,[],[f1199,f1379]) ).

fof(f3021,plain,
    ( spl0_73
    | ~ spl0_1
    | ~ spl0_13
    | ~ spl0_21
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f2190,f689,f266,f238,f198,f497]) ).

fof(f3028,plain,
    ( ~ c0_1(a805)
    | ~ spl0_12
    | spl0_76
    | ~ spl0_119 ),
    inference(forward_subsumption_resolution,[],[f1007,f702]) ).

fof(f3029,plain,
    ( ~ spl0_141
    | spl0_107
    | ~ spl0_1
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1475,f793,f198,f653,f789]) ).

fof(f3033,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_13
    | spl0_83
    | ~ spl0_123 ),
    inference(forward_subsumption_resolution,[],[f3017,f544]) ).

fof(f3034,plain,
    ( ~ spl0_1
    | ~ spl0_13
    | spl0_83
    | ~ spl0_123 ),
    inference(avatar_contradiction_clause,[],[f3033]) ).

fof(f3040,plain,
    ( ~ spl0_158
    | ~ spl0_12
    | spl0_76
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f3028,f701,f511,f234,f1003]) ).

fof(f3053,plain,
    ( ~ spl0_170
    | ~ spl0_145
    | ~ spl0_4
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f2768,f797,f207,f806,f1975]) ).

fof(f3060,plain,
    ( c0_1(a805)
    | ~ spl0_5
    | spl0_75
    | ~ spl0_119 ),
    inference(forward_subsumption_resolution,[],[f1001,f702]) ).

fof(f3063,plain,
    ( spl0_80
    | ~ spl0_5
    | ~ spl0_22
    | spl0_78 ),
    inference(avatar_split_clause,[],[f1079,f521,f270,f211,f529]) ).

fof(f3099,plain,
    ( spl0_158
    | ~ spl0_5
    | spl0_75
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f3060,f701,f507,f211,f1003]) ).

fof(f3121,plain,
    ( ~ spl0_168
    | spl0_97
    | ~ spl0_20
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f2665,f749,f262,f606,f1444]) ).

fof(f3126,plain,
    ( spl0_168
    | spl0_96
    | ~ spl0_13
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1198,f749,f238,f602,f1444]) ).

fof(f3204,plain,
    ( c1_1(a796)
    | ~ c0_1(a796)
    | ~ spl0_20
    | ~ spl0_144 ),
    inference(resolution,[],[f263,f803]) ).

fof(f3216,plain,
    ( c1_1(a796)
    | ~ spl0_20
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(forward_subsumption_resolution,[],[f3204,f807]) ).

fof(f3219,plain,
    ( spl0_170
    | ~ spl0_20
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f3216,f806,f802,f262,f1975]) ).

fof(f3221,plain,
    ( spl0_96
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_22
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1891,f749,f270,f227,f211,f602]) ).

fof(f3226,plain,
    ( spl0_107
    | spl0_171
    | ~ spl0_19
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2807,f789,f259,f2120,f653]) ).

fof(f3228,plain,
    ( spl0_156
    | spl0_82
    | ~ spl0_19
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f2811,f713,f259,f538,f965]) ).

fof(f3278,plain,
    ( c3_1(a832)
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_21
    | ~ spl0_131 ),
    inference(resolution,[],[f2355,f750]) ).

fof(f3281,plain,
    ( c3_1(a798)
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_21
    | ~ spl0_111 ),
    inference(resolution,[],[f2355,f670]) ).

fof(f3284,plain,
    ( spl0_68
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_21
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f3281,f669,f266,f238,f227,f474]) ).

fof(f3285,plain,
    ( spl0_96
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_21
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f3278,f749,f266,f238,f227,f602]) ).

fof(f3291,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_18
    | ~ spl0_36 ),
    inference(forward_subsumption_resolution,[],[f324,f255]) ).

fof(f3295,plain,
    ( ~ c1_1(a869)
    | ~ spl0_18
    | ~ spl0_36
    | ~ spl0_142 ),
    inference(resolution,[],[f3291,f794]) ).

fof(f3303,plain,
    ( ~ spl0_171
    | ~ spl0_18
    | ~ spl0_36
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f3295,f793,f323,f254,f2120]) ).

fof(f3308,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_146
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(forward_subsumption_resolution,[],[f2008,f1982]) ).

fof(f3309,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | ~ spl0_146
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f3308]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f209]) ).

cnf(s2,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f219]) ).

cnf(s3,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_9
    | spl0_10 ),
    inference(sat_conversion,[],[f229]) ).

cnf(s4,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_11
    | spl0_12 ),
    inference(sat_conversion,[],[f236]) ).

cnf(s5,plain,
    ( ~ spl0_3
    | spl0_13
    | spl0_14
    | spl0_15 ),
    inference(sat_conversion,[],[f246]) ).

cnf(s6,plain,
    ( ~ spl0_3
    | spl0_16
    | spl0_17
    | spl0_18 ),
    inference(sat_conversion,[],[f256]) ).

cnf(s7,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_11
    | spl0_16 ),
    inference(sat_conversion,[],[f257]) ).

cnf(s8,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_19
    | spl0_20 ),
    inference(sat_conversion,[],[f264]) ).

cnf(s9,plain,
    ( ~ spl0_3
    | spl0_15
    | spl0_17
    | spl0_21 ),
    inference(sat_conversion,[],[f268]) ).

cnf(s10,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_22
    | spl0_23 ),
    inference(sat_conversion,[],[f275]) ).

cnf(s11,plain,
    ( ~ spl0_3
    | spl0_21
    | spl0_24
    | spl0_25 ),
    inference(sat_conversion,[],[f282]) ).

cnf(s13,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_10
    | spl0_27 ),
    inference(sat_conversion,[],[f290]) ).

cnf(s14,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_6
    | spl0_28 ),
    inference(sat_conversion,[],[f294]) ).

cnf(s15,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_12
    | spl0_28 ),
    inference(sat_conversion,[],[f295]) ).

cnf(s16,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_8
    | spl0_29 ),
    inference(sat_conversion,[],[f299]) ).

cnf(s17,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_25
    | spl0_30 ),
    inference(sat_conversion,[],[f303]) ).

cnf(s18,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_17
    | spl0_31 ),
    inference(sat_conversion,[],[f307]) ).

cnf(s21,plain,
    ( ~ spl0_3
    | spl0_13
    | spl0_35
    | spl0_36 ),
    inference(sat_conversion,[],[f325]) ).

cnf(s23,plain,
    ( ~ spl0_3
    | spl0_13
    | spl0_17
    | spl0_34 ),
    inference(sat_conversion,[],[f330]) ).

cnf(s25,plain,
    ( ~ spl0_3
    | spl0_14
    | spl0_19
    | spl0_39 ),
    inference(sat_conversion,[],[f338]) ).

cnf(s26,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_40
    | spl0_41 ),
    inference(sat_conversion,[],[f345]) ).

cnf(s27,plain,
    ( ~ spl0_3
    | spl0_14
    | spl0_42
    | spl0_43 ),
    inference(sat_conversion,[],[f352]) ).

cnf(s28,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_8
    | spl0_44 ),
    inference(sat_conversion,[],[f356]) ).

cnf(s29,plain,
    ( ~ spl0_3
    | spl0_13
    | spl0_16
    | spl0_29 ),
    inference(sat_conversion,[],[f357]) ).

cnf(s34,plain,
    ( ~ spl0_3
    | spl0_40
    | spl0_41
    | spl0_43 ),
    inference(sat_conversion,[],[f371]) ).

cnf(s35,plain,
    ( ~ spl0_3
    | spl0_36
    | spl0_45
    | spl0_48 ),
    inference(sat_conversion,[],[f375]) ).

cnf(s36,plain,
    ( ~ spl0_3
    | spl0_36
    | spl0_42
    | spl0_49 ),
    inference(sat_conversion,[],[f379]) ).

cnf(s37,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_35
    | spl0_50 ),
    inference(sat_conversion,[],[f383]) ).

cnf(s38,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_45
    | spl0_51 ),
    inference(sat_conversion,[],[f387]) ).

cnf(s39,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_52
    | spl0_53 ),
    inference(sat_conversion,[],[f394]) ).

cnf(s44,plain,
    ( ~ spl0_3
    | spl0_15
    | spl0_32
    | spl0_57 ),
    inference(sat_conversion,[],[f411]) ).

cnf(s47,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_38
    | spl0_40 ),
    inference(sat_conversion,[],[f414]) ).

cnf(s50,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_32
    | spl0_54 ),
    inference(sat_conversion,[],[f423]) ).

cnf(s51,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_28
    | spl0_42 ),
    inference(sat_conversion,[],[f424]) ).

cnf(s52,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_31
    | spl0_59 ),
    inference(sat_conversion,[],[f425]) ).

cnf(s55,plain,
    ( ~ spl0_3
    | spl0_41
    | spl0_52
    | spl0_54 ),
    inference(sat_conversion,[],[f428]) ).

cnf(s61,plain,
    ( ~ spl0_3
    | spl0_43
    | spl0_52
    | spl0_61 ),
    inference(sat_conversion,[],[f440]) ).

cnf(s64,plain,
    ( ~ spl0_3
    | spl0_22
    | spl0_28
    | spl0_49 ),
    inference(sat_conversion,[],[f443]) ).

cnf(s67,plain,
    ( ~ spl0_54
    | ~ spl0_63 ),
    inference(sat_conversion,[],[f454]) ).

cnf(s68,plain,
    ( ~ spl0_54
    | ~ spl0_64 ),
    inference(sat_conversion,[],[f458]) ).

cnf(s70,plain,
    ( ~ spl0_61
    | ~ spl0_66 ),
    inference(sat_conversion,[],[f467]) ).

cnf(s71,plain,
    ( ~ spl0_61
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f471]) ).

cnf(s72,plain,
    ( ~ spl0_44
    | ~ spl0_68 ),
    inference(sat_conversion,[],[f476]) ).

cnf(s74,plain,
    ( ~ spl0_27
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f486]) ).

cnf(s75,plain,
    ( ~ spl0_27
    | ~ spl0_71 ),
    inference(sat_conversion,[],[f490]) ).

cnf(s77,plain,
    ( ~ spl0_39
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f499]) ).

cnf(s79,plain,
    ( ~ spl0_31
    | ~ spl0_75 ),
    inference(sat_conversion,[],[f509]) ).

cnf(s80,plain,
    ( ~ spl0_31
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f513]) ).

cnf(s81,plain,
    ( ~ spl0_38
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f518]) ).

cnf(s82,plain,
    ( ~ spl0_60
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f523]) ).

cnf(s83,plain,
    ( ~ spl0_60
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f527]) ).

cnf(s84,plain,
    ( ~ spl0_60
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f531]) ).

cnf(s85,plain,
    ( ~ spl0_45
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f536]) ).

cnf(s86,plain,
    ( ~ spl0_45
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f540]) ).

cnf(s87,plain,
    ( ~ spl0_29
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f545]) ).

cnf(s88,plain,
    ( ~ spl0_32
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f550]) ).

cnf(s89,plain,
    ( ~ spl0_32
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f554]) ).

cnf(s90,plain,
    ( ~ spl0_34
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f559]) ).

cnf(s92,plain,
    ( ~ spl0_35
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f568]) ).

cnf(s93,plain,
    ( ~ spl0_50
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f573]) ).

cnf(s94,plain,
    ( ~ spl0_50
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f577]) ).

cnf(s95,plain,
    ( ~ spl0_50
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f581]) ).

cnf(s96,plain,
    ( ~ spl0_59
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f586]) ).

cnf(s100,plain,
    ( ~ spl0_42
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f604]) ).

cnf(s101,plain,
    ( ~ spl0_42
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f608]) ).

cnf(s102,plain,
    ( ~ spl0_52
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f613]) ).

cnf(s103,plain,
    ( ~ spl0_52
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f617]) ).

cnf(s104,plain,
    ( ~ spl0_48
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f622]) ).

cnf(s105,plain,
    ( ~ spl0_30
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f627]) ).

cnf(s106,plain,
    ( ~ spl0_57
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f632]) ).

cnf(s107,plain,
    ( ~ spl0_57
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f636]) ).

cnf(s111,plain,
    ( ~ spl0_51
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f655]) ).

cnf(s114,plain,
    ( ~ spl0_54
    | spl0_110 ),
    inference(sat_conversion,[],[f667]) ).

cnf(s115,plain,
    ( ~ spl0_44
    | spl0_111 ),
    inference(sat_conversion,[],[f671]) ).

cnf(s116,plain,
    ( ~ spl0_44
    | spl0_112 ),
    inference(sat_conversion,[],[f675]) ).

cnf(s119,plain,
    ( ~ spl0_27
    | spl0_115 ),
    inference(sat_conversion,[],[f687]) ).

cnf(s120,plain,
    ( ~ spl0_39
    | spl0_116 ),
    inference(sat_conversion,[],[f691]) ).

cnf(s123,plain,
    ( ~ spl0_31
    | spl0_119 ),
    inference(sat_conversion,[],[f703]) ).

cnf(s124,plain,
    ( ~ spl0_38
    | spl0_120 ),
    inference(sat_conversion,[],[f707]) ).

cnf(s125,plain,
    ( ~ spl0_38
    | spl0_121 ),
    inference(sat_conversion,[],[f711]) ).

cnf(s126,plain,
    ( ~ spl0_45
    | spl0_122 ),
    inference(sat_conversion,[],[f715]) ).

cnf(s127,plain,
    ( ~ spl0_29
    | spl0_123 ),
    inference(sat_conversion,[],[f719]) ).

cnf(s128,plain,
    ( ~ spl0_29
    | spl0_124 ),
    inference(sat_conversion,[],[f723]) ).

cnf(s129,plain,
    ( ~ spl0_32
    | spl0_125 ),
    inference(sat_conversion,[],[f727]) ).

cnf(s130,plain,
    ( ~ spl0_34
    | spl0_126 ),
    inference(sat_conversion,[],[f731]) ).

cnf(s131,plain,
    ( ~ spl0_35
    | spl0_127 ),
    inference(sat_conversion,[],[f735]) ).

cnf(s132,plain,
    ( ~ spl0_35
    | spl0_128 ),
    inference(sat_conversion,[],[f739]) ).

cnf(s133,plain,
    ( ~ spl0_59
    | spl0_129 ),
    inference(sat_conversion,[],[f743]) ).

cnf(s134,plain,
    ( ~ spl0_59
    | spl0_130 ),
    inference(sat_conversion,[],[f747]) ).

cnf(s135,plain,
    ( ~ spl0_42
    | spl0_131 ),
    inference(sat_conversion,[],[f751]) ).

cnf(s136,plain,
    ( ~ spl0_52
    | spl0_132 ),
    inference(sat_conversion,[],[f755]) ).

cnf(s137,plain,
    ( ~ spl0_48
    | spl0_133 ),
    inference(sat_conversion,[],[f759]) ).

cnf(s138,plain,
    ( ~ spl0_48
    | spl0_134 ),
    inference(sat_conversion,[],[f763]) ).

cnf(s140,plain,
    ( ~ spl0_30
    | spl0_136 ),
    inference(sat_conversion,[],[f771]) ).

cnf(s141,plain,
    ( ~ spl0_57
    | spl0_137 ),
    inference(sat_conversion,[],[f775]) ).

cnf(s145,plain,
    ( ~ spl0_51
    | spl0_141 ),
    inference(sat_conversion,[],[f791]) ).

cnf(s146,plain,
    ( ~ spl0_51
    | spl0_142 ),
    inference(sat_conversion,[],[f795]) ).

cnf(s147,plain,
    ( ~ spl0_49
    | spl0_143 ),
    inference(sat_conversion,[],[f800]) ).

cnf(s148,plain,
    ( ~ spl0_49
    | spl0_144 ),
    inference(sat_conversion,[],[f804]) ).

cnf(s149,plain,
    ( ~ spl0_49
    | spl0_145 ),
    inference(sat_conversion,[],[f808]) ).

cnf(s150,plain,
    ( ~ spl0_28
    | spl0_146 ),
    inference(sat_conversion,[],[f813]) ).

cnf(s151,plain,
    ( ~ spl0_28
    | spl0_147 ),
    inference(sat_conversion,[],[f817]) ).

cnf(s152,plain,
    ( ~ spl0_28
    | spl0_148 ),
    inference(sat_conversion,[],[f821]) ).

cnf(s153,plain,
    ( ~ spl0_40
    | spl0_149 ),
    inference(sat_conversion,[],[f826]) ).

cnf(s154,plain,
    ( ~ spl0_40
    | spl0_150 ),
    inference(sat_conversion,[],[f830]) ).

cnf(s155,plain,
    ( ~ spl0_40
    | spl0_151 ),
    inference(sat_conversion,[],[f834]) ).

cnf(s156,plain,
    ( ~ spl0_53
    | spl0_152 ),
    inference(sat_conversion,[],[f839]) ).

cnf(s157,plain,
    ( ~ spl0_53
    | spl0_153 ),
    inference(sat_conversion,[],[f843]) ).

cnf(s158,plain,
    ( ~ spl0_53
    | spl0_154 ),
    inference(sat_conversion,[],[f847]) ).

cnf(s160,plain,
    ( spl0_28
    | spl0_31
    | spl0_60 ),
    inference(sat_conversion,[],[f849]) ).

cnf(s163,plain,
    ( spl0_28
    | spl0_48
    | spl0_49 ),
    inference(sat_conversion,[],[f852]) ).

cnf(s164,plain,
    ( spl0_38
    | spl0_44
    | spl0_51 ),
    inference(sat_conversion,[],[f853]) ).

cnf(s165,plain,
    ( spl0_28
    | spl0_42
    | spl0_53 ),
    inference(sat_conversion,[],[f854]) ).

cnf(s185,plain,
    ( spl0_3
    | ~ spl0_42 ),
    inference(sat_conversion,[],[f875]) ).

cnf(s194,plain,
    ( spl0_3
    | ~ spl0_28 ),
    inference(sat_conversion,[],[f884]) ).

cnf(s196,plain,
    ( spl0_3
    | ~ spl0_53 ),
    inference(sat_conversion,[],[f886]) ).

cnf(s198,plain,
    ( ~ spl0_7
    | ~ spl0_9
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f910]) ).

cnf(s201,plain,
    ( ~ spl0_5
    | ~ spl0_15
    | spl0_68
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f953]) ).

cnf(s203,plain,
    ( spl0_5
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(sat_conversion,[],[f957]) ).

cnf(s204,plain,
    ( spl0_5
    | ~ spl0_8
    | ~ spl0_13 ),
    inference(sat_conversion,[],[f958]) ).

cnf(s207,plain,
    ( ~ spl0_5
    | spl0_84
    | spl0_85
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f983]) ).

cnf(s214,plain,
    ( ~ spl0_8
    | spl0_75
    | spl0_76
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f1012]) ).

cnf(s222,plain,
    ( ~ spl0_8
    | ~ spl0_18
    | spl0_77
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f1046]) ).

cnf(s224,plain,
    ( ~ spl0_5
    | ~ spl0_17
    | ~ spl0_19
    | spl0_64
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f1059]) ).

cnf(s227,plain,
    ( ~ spl0_5
    | ~ spl0_22
    | spl0_78
    | spl0_80 ),
    inference(sat_conversion,[],[f1081]) ).

cnf(s229,plain,
    ( ~ spl0_13
    | ~ spl0_25
    | spl0_96
    | spl0_97
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f1104]) ).

cnf(s231,plain,
    ( ~ spl0_24
    | spl0_81
    | spl0_82
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f1126]) ).

cnf(s233,plain,
    ( ~ spl0_4
    | ~ spl0_24
    | spl0_100
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f1130]) ).

cnf(s242,plain,
    ( ~ spl0_7
    | ~ spl0_143
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f1207]) ).

cnf(s252,plain,
    ( ~ spl0_12
    | ~ spl0_41
    | spl0_86
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f1283]) ).

cnf(s256,plain,
    ( ~ spl0_5
    | ~ spl0_17
    | spl0_99
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f1289]) ).

cnf(s257,plain,
    ( ~ spl0_5
    | ~ spl0_17
    | spl0_101
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f1293]) ).

cnf(s275,plain,
    ( ~ spl0_5
    | ~ spl0_17
    | ~ spl0_119
    | spl0_158 ),
    inference(sat_conversion,[],[f1344]) ).

cnf(s287,plain,
    ( ~ spl0_5
    | ~ spl0_15
    | ~ spl0_23
    | spl0_68
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f1420]) ).

cnf(s321,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_146
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f1567]) ).

cnf(s352,plain,
    ( ~ spl0_2
    | ~ spl0_11
    | ~ spl0_123
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f1683]) ).

cnf(s356,plain,
    ( ~ spl0_11
    | spl0_83
    | ~ spl0_123
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f1733]) ).

cnf(s374,plain,
    ( ~ spl0_9
    | spl0_81
    | ~ spl0_122
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f1752]) ).

cnf(s393,plain,
    ( ~ spl0_9
    | ~ spl0_16
    | spl0_63
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f1811]) ).

cnf(s397,plain,
    ( ~ spl0_6
    | ~ spl0_23
    | spl0_97
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f1829]) ).

cnf(s433,plain,
    ( ~ spl0_8
    | ~ spl0_14
    | spl0_98
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f1879]) ).

cnf(s440,plain,
    ( ~ spl0_8
    | ~ spl0_43
    | spl0_102
    | spl0_103 ),
    inference(sat_conversion,[],[f1909]) ).

cnf(s460,plain,
    ( ~ spl0_8
    | spl0_102
    | spl0_103
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f1940]) ).

cnf(s467,plain,
    ( ~ spl0_6
    | spl0_88
    | ~ spl0_127
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f1955]) ).

cnf(s510,plain,
    ( ~ spl0_4
    | ~ spl0_15
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f2029]) ).

cnf(s518,plain,
    ( ~ spl0_4
    | ~ spl0_15
    | ~ spl0_150
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f2046]) ).

cnf(s535,plain,
    ( ~ spl0_13
    | ~ spl0_16
    | ~ spl0_21
    | spl0_89
    | spl0_91 ),
    inference(sat_conversion,[],[f2098]) ).

cnf(s538,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f2110]) ).

cnf(s541,plain,
    ( ~ spl0_12
    | ~ spl0_41
    | spl0_103
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f2113]) ).

cnf(s555,plain,
    ( ~ spl0_12
    | ~ spl0_41
    | spl0_100
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f2151]) ).

cnf(s560,plain,
    ( ~ spl0_13
    | ~ spl0_19
    | ~ spl0_21
    | spl0_90
    | spl0_91 ),
    inference(sat_conversion,[],[f2183]) ).

cnf(s581,plain,
    ( ~ spl0_4
    | ~ spl0_6
    | ~ spl0_143
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f2212]) ).

cnf(s602,plain,
    ( ~ spl0_4
    | ~ spl0_152
    | ~ spl0_153
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f2268]) ).

cnf(s622,plain,
    ( ~ spl0_5
    | spl0_99
    | ~ spl0_132
    | spl0_164 ),
    inference(sat_conversion,[],[f2348]) ).

cnf(s652,plain,
    ( ~ spl0_7
    | ~ spl0_10
    | ~ spl0_111
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f2385]) ).

cnf(s667,plain,
    ( ~ spl0_25
    | spl0_102
    | ~ spl0_137
    | spl0_157 ),
    inference(sat_conversion,[],[f2412]) ).

cnf(s681,plain,
    ( ~ spl0_4
    | ~ spl0_17
    | ~ spl0_146
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f2468]) ).

cnf(s692,plain,
    ( ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10
    | spl0_15 ),
    inference(sat_conversion,[],[f2476]) ).

cnf(s696,plain,
    ( ~ spl0_15
    | spl0_77
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f2493]) ).

cnf(s707,plain,
    ( ~ spl0_9
    | spl0_100
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f2507]) ).

cnf(s722,plain,
    ( ~ spl0_11
    | ~ spl0_14
    | spl0_17 ),
    inference(sat_conversion,[],[f2525]) ).

cnf(s727,plain,
    ( ~ spl0_25
    | spl0_68
    | ~ spl0_112
    | spl0_155 ),
    inference(sat_conversion,[],[f2533]) ).

cnf(s746,plain,
    ( ~ spl0_16
    | spl0_63
    | spl0_64
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f2544]) ).

cnf(s761,plain,
    ( spl0_4
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(sat_conversion,[],[f2557]) ).

cnf(s783,plain,
    ( ~ spl0_12
    | spl0_92
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f2571]) ).

cnf(s828,plain,
    ( ~ spl0_7
    | ~ spl0_9
    | ~ spl0_143
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f2601]) ).

cnf(s834,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | ~ spl0_14
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f2630]) ).

cnf(s838,plain,
    ( ~ spl0_6
    | ~ spl0_9
    | ~ spl0_16
    | spl0_70
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f2649]) ).

cnf(s839,plain,
    ( ~ spl0_6
    | ~ spl0_9
    | ~ spl0_16
    | spl0_82
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f2651]) ).

cnf(s868,plain,
    ( ~ spl0_2
    | ~ spl0_111
    | ~ spl0_112
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f2754]) ).

cnf(s869,plain,
    ( ~ spl0_2
    | ~ spl0_149
    | ~ spl0_150
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f2756]) ).

cnf(s877,plain,
    ( ~ spl0_6
    | ~ spl0_16
    | spl0_19 ),
    inference(sat_conversion,[],[f2804]) ).

cnf(s880,plain,
    ( ~ spl0_19
    | spl0_70
    | spl0_71
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f2823]) ).

cnf(s882,plain,
    ( ~ spl0_19
    | ~ spl0_22
    | spl0_66
    | spl0_67 ),
    inference(sat_conversion,[],[f2850]) ).

cnf(s888,plain,
    ( ~ spl0_8
    | ~ spl0_43
    | spl0_78
    | spl0_79 ),
    inference(sat_conversion,[],[f2867]) ).

cnf(s903,plain,
    ( ~ spl0_6
    | ~ spl0_36
    | ~ spl0_146
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f2927]) ).

cnf(s923,plain,
    ( ~ spl0_16
    | ~ spl0_21
    | spl0_98
    | spl0_99 ),
    inference(sat_conversion,[],[f2956]) ).

cnf(s924,plain,
    ( ~ spl0_16
    | spl0_98
    | spl0_99
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f2958]) ).

cnf(s945,plain,
    ( ~ spl0_6
    | ~ spl0_10
    | ~ spl0_36
    | ~ spl0_111
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f3006]) ).

cnf(s947,plain,
    ( ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | spl0_15
    | ~ spl0_36 ),
    inference(sat_conversion,[],[f3009]) ).

cnf(s951,plain,
    ( ~ spl0_13
    | ~ spl0_21
    | spl0_75
    | spl0_158 ),
    inference(sat_conversion,[],[f3012]) ).

cnf(s952,plain,
    ( ~ spl0_13
    | ~ spl0_21
    | spl0_78
    | spl0_80 ),
    inference(sat_conversion,[],[f3013]) ).

cnf(s973,plain,
    ( ~ spl0_1
    | ~ spl0_13
    | ~ spl0_21
    | spl0_73
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f3021]) ).

cnf(s981,plain,
    ( ~ spl0_1
    | spl0_107
    | ~ spl0_141
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f3029]) ).

cnf(s987,plain,
    ( ~ spl0_1
    | ~ spl0_13
    | spl0_83
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f3034]) ).

cnf(s992,plain,
    ( ~ spl0_12
    | spl0_76
    | ~ spl0_119
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f3040]) ).

cnf(s1010,plain,
    ( ~ spl0_4
    | ~ spl0_143
    | ~ spl0_145
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f3053]) ).

cnf(s1019,plain,
    ( ~ spl0_5
    | ~ spl0_22
    | spl0_78
    | spl0_80 ),
    inference(sat_conversion,[],[f3063]) ).

cnf(s1058,plain,
    ( ~ spl0_5
    | spl0_75
    | ~ spl0_119
    | spl0_158 ),
    inference(sat_conversion,[],[f3099]) ).

cnf(s1084,plain,
    ( ~ spl0_20
    | spl0_97
    | ~ spl0_131
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f3121]) ).

cnf(s1089,plain,
    ( ~ spl0_13
    | spl0_96
    | ~ spl0_131
    | spl0_168 ),
    inference(sat_conversion,[],[f3126]) ).

cnf(s1103,plain,
    ( ~ spl0_20
    | ~ spl0_144
    | ~ spl0_145
    | spl0_170 ),
    inference(sat_conversion,[],[f3219]) ).

cnf(s1104,plain,
    ( ~ spl0_5
    | ~ spl0_10
    | ~ spl0_22
    | spl0_96
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f3221]) ).

cnf(s1111,plain,
    ( ~ spl0_19
    | spl0_107
    | ~ spl0_141
    | spl0_171 ),
    inference(sat_conversion,[],[f3226]) ).

cnf(s1112,plain,
    ( ~ spl0_19
    | spl0_82
    | ~ spl0_122
    | spl0_156 ),
    inference(sat_conversion,[],[f3228]) ).

cnf(s1133,plain,
    ( ~ spl0_10
    | ~ spl0_13
    | ~ spl0_21
    | spl0_68
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f3284]) ).

cnf(s1134,plain,
    ( ~ spl0_10
    | ~ spl0_13
    | ~ spl0_21
    | spl0_96
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f3285]) ).

cnf(s1138,plain,
    ( ~ spl0_18
    | ~ spl0_36
    | ~ spl0_142
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f3303]) ).

cnf(s1141,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | ~ spl0_146
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f3309]) ).

cnf(s1142,plain,
    spl0_3,
    inference(rat,[],[s165,s185,s194,s196]) ).

cnf(s1143,plain,
    ( ~ spl0_40
    | ~ spl0_15
    | ~ spl0_4 ),
    inference(rat,[],[s518,s154,s155]) ).

cnf(s1144,plain,
    ( ~ spl0_15
    | ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s510,s124,s125,s47,s1143,s1142]) ).

cnf(s1145,plain,
    ( ~ spl0_49
    | ~ spl0_9
    | ~ spl0_7 ),
    inference(rat,[],[s828,s147,s149]) ).

cnf(s1146,plain,
    ( ~ spl0_54
    | ~ spl0_16
    | ~ spl0_9 ),
    inference(rat,[],[s393,s67,s114]) ).

cnf(s1147,plain,
    ( spl0_17
    | spl0_13
    | spl0_54
    | ~ spl0_16
    | ~ spl0_12
    | spl0_15 ),
    inference(rat,[],[s923,s102,s103,s55,s252,s90,s130,s9,s23,s1142]) ).

cnf(s1148,plain,
    ( ~ spl0_28
    | ~ spl0_17
    | ~ spl0_4 ),
    inference(rat,[],[s681,s150,s152]) ).

cnf(s1149,plain,
    ( ~ spl0_48
    | ~ spl0_9
    | ~ spl0_7 ),
    inference(rat,[],[s198,s137,s138]) ).

cnf(s1150,plain,
    ( spl0_11
    | spl0_75
    | spl0_76
    | ~ spl0_119
    | spl0_17
    | spl0_10
    | spl0_8
    | spl0_15 ),
    inference(rat,[],[s951,s992,s1147,s1146,s7,s4,s3,s9,s1142]) ).

cnf(s1151,plain,
    ( spl0_8
    | spl0_6
    | spl0_5
    | spl0_15
    | ~ spl0_4 ),
    inference(rat,[],[s1141,s1150,s79,s80,s123,s18,s1148,s150,s151,s152,s163,s1149,s1145,s3,s652,s115,s116,s28,s2,s1142]) ).

cnf(s1152,plain,
    ( ~ spl0_31
    | ~ spl0_8 ),
    inference(rat,[],[s214,s79,s80,s123]) ).

cnf(s1153,plain,
    ( ~ spl0_9
    | spl0_28
    | ~ spl0_7 ),
    inference(rat,[],[s163,s1149,s1145]) ).

cnf(s1154,plain,
    ( ~ spl0_54
    | ~ spl0_16 ),
    inference(rat,[],[s746,s67,s68,s114]) ).

cnf(s1155,plain,
    ( ~ spl0_52
    | ~ spl0_14
    | ~ spl0_8 ),
    inference(rat,[],[s433,s102,s136]) ).

cnf(s1156,plain,
    ( ~ spl0_48
    | ~ spl0_41
    | ~ spl0_12 ),
    inference(rat,[],[s555,s104,s138]) ).

cnf(s1157,plain,
    ( spl0_6
    | spl0_5
    | spl0_15
    | ~ spl0_4 ),
    inference(rat,[],[s242,s147,s148,s149,s163,s1156,s55,s1155,s1154,s15,s1153,s1148,s18,s1152,s7,s5,s203,s204,s692,s1151,s2,s1142]) ).

cnf(s1159,plain,
    ( ~ spl0_45
    | ~ spl0_16
    | ~ spl0_9
    | ~ spl0_6 ),
    inference(rat,[],[s839,s86,s126]) ).

cnf(s1160,plain,
    ( ~ spl0_48
    | ~ spl0_9 ),
    inference(rat,[],[s707,s104,s137,s138]) ).

cnf(s1161,plain,
    ( ~ spl0_35
    | ~ spl0_6 ),
    inference(rat,[],[s467,s92,s131,s132]) ).

cnf(s1162,plain,
    ( ~ spl0_28
    | spl0_68
    | ~ spl0_111
    | spl0_8
    | ~ spl0_6
    | spl0_15
    | ~ spl0_4 ),
    inference(rat,[],[s35,s1159,s1160,s7,s3,s1133,s21,s9,s903,s1141,s1148,s150,s151,s152,s1161,s1142]) ).

cnf(s1163,plain,
    ( ~ spl0_49
    | ~ spl0_6
    | ~ spl0_4 ),
    inference(rat,[],[s581,s147,s148,s149]) ).

cnf(s1164,plain,
    ( spl0_8
    | spl0_5
    | spl0_15
    | ~ spl0_4 ),
    inference(rat,[],[s11,s229,s1133,s21,s945,s3,s233,s1160,s104,s137,s138,s163,s100,s101,s135,s51,s1162,s72,s115,s116,s28,s1161,s1163,s1157,s1142]) ).

cnf(s1165,plain,
    ( ~ spl0_28
    | ~ spl0_36
    | ~ spl0_6 ),
    inference(rat,[],[s903,s150,s151]) ).

cnf(s1166,plain,
    ( spl0_5
    | ~ spl0_4
    | spl0_15 ),
    inference(rat,[],[s15,s1156,s1160,s163,s1165,s55,s1154,s7,s947,s1155,s21,s5,s203,s204,s1164,s1163,s1161,s1157,s1142]) ).

cnf(s1167,plain,
    ( ~ spl0_28
    | spl0_8
    | spl0_6
    | ~ spl0_5
    | ~ spl0_4 ),
    inference(rat,[],[s1058,s992,s79,s80,s123,s4,s18,s1141,s1148,s150,s151,s152,s1142]) ).

cnf(s1168,plain,
    ( ~ spl0_32
    | ~ spl0_5 ),
    inference(rat,[],[s207,s88,s89,s129]) ).

cnf(s1170,plain,
    ( ~ spl0_45
    | ~ spl0_19
    | ~ spl0_9 ),
    inference(rat,[],[s374,s1112,s85,s86,s126]) ).

cnf(s1171,plain,
    ( spl0_17
    | spl0_16
    | spl0_20
    | spl0_7
    | ~ spl0_9
    | spl0_6
    | ~ spl0_5 ),
    inference(rat,[],[s1111,s1138,s111,s145,s146,s38,s35,s1170,s8,s992,s1058,s79,s80,s123,s6,s18,s1160,s1142]) ).

cnf(s1173,plain,
    ( ~ spl0_59
    | ~ spl0_12 ),
    inference(rat,[],[s783,s96,s133,s134]) ).

cnf(s1174,plain,
    ( spl0_8
    | ~ spl0_9
    | spl0_6
    | ~ spl0_5
    | ~ spl0_4 ),
    inference(rat,[],[s992,s275,s80,s123,s52,s1173,s8,s224,s1171,s1154,s68,s114,s50,s1103,s1010,s147,s148,s149,s1153,s163,s1167,s1168,s1160,s1142]) ).

cnf(s1176,plain,
    ( ~ spl0_52
    | ~ spl0_17
    | ~ spl0_5 ),
    inference(rat,[],[s256,s103,s136]) ).

cnf(s1177,plain,
    ( ~ spl0_53
    | ~ spl0_4 ),
    inference(rat,[],[s602,s156,s157,s158]) ).

cnf(s1178,plain,
    ( spl0_8
    | spl0_6
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(rat,[],[s1058,s992,s79,s80,s123,s52,s1173,s15,s1174,s1167,s1142]) ).

cnf(s1179,plain,
    ( spl0_6
    | ~ spl0_5
    | ~ spl0_4 ),
    inference(rat,[],[s242,s147,s148,s149,s64,s1019,s82,s84,s39,s160,s1176,s1148,s18,s1152,s1178,s1177,s1142]) ).

cnf(s1180,plain,
    ( spl0_28
    | spl0_8
    | spl0_49
    | ~ spl0_5 ),
    inference(rat,[],[s3,s1104,s1160,s100,s135,s64,s163,s51,s1142]) ).

cnf(s1181,plain,
    ( spl0_8
    | spl0_15
    | ~ spl0_4 ),
    inference(rat,[],[s1134,s100,s135,s7,s36,s21,s9,s1141,s1165,s1148,s150,s151,s152,s1180,s1154,s50,s1168,s1161,s1163,s1179,s1166,s1142]) ).

cnf(s1182,plain,
    ( spl0_28
    | spl0_31
    | spl0_49
    | ~ spl0_5 ),
    inference(rat,[],[s227,s82,s84,s160,s64,s1142]) ).

cnf(s1184,plain,
    ( ~ spl0_52
    | ~ spl0_16
    | ~ spl0_21 ),
    inference(rat,[],[s923,s102,s103]) ).

cnf(s1185,plain,
    ( ~ spl0_4
    | spl0_15 ),
    inference(rat,[],[s882,s70,s71,s61,s1184,s877,s7,s10,s1134,s397,s100,s101,s135,s36,s21,s9,s1141,s1165,s1148,s150,s151,s152,s1182,s440,s1152,s1181,s1163,s1161,s1179,s106,s107,s44,s1168,s1166,s1142]) ).

cnf(s1186,plain,
    ( ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s1185,s1144]) ).

cnf(s1188,plain,
    ( ~ spl0_40
    | ~ spl0_2 ),
    inference(rat,[],[s869,s153,s154,s155]) ).

cnf(s1189,plain,
    ( spl0_8
    | ~ spl0_57
    | spl0_1 ),
    inference(rat,[],[s4,s352,s541,s127,s128,s26,s16,s1188,s1,s1186,s141,s107,s1142]) ).

cnf(s1190,plain,
    ( ~ spl0_5
    | spl0_1 ),
    inference(rat,[],[s880,s74,s75,s119,s13,s1134,s8,s9,s1084,s257,s1089,s105,s140,s100,s101,s135,s541,s17,s27,s5,s34,s667,s834,s440,s460,s1189,s106,s107,s141,s44,s1168,s696,s81,s124,s125,s47,s1188,s1,s1186,s1142]) ).

cnf(s1191,plain,
    ( spl0_10
    | ~ spl0_9
    | ~ spl0_6
    | spl0_11
    | spl0_4 ),
    inference(rat,[],[s838,s74,s119,s7,s13,s1142]) ).

cnf(s1192,plain,
    ( spl0_36
    | spl0_158
    | spl0_75
    | spl0_35
    | spl0_48
    | spl0_25 ),
    inference(rat,[],[s231,s11,s85,s86,s126,s951,s35,s21,s1142]) ).

cnf(s1193,plain,
    ( spl0_8
    | spl0_1 ),
    inference(rat,[],[s1191,s3,s945,s1192,s992,s79,s80,s123,s1161,s52,s2,s1156,s1173,s761,s4,s727,s352,s868,s127,s128,s72,s115,s116,s26,s16,s28,s1188,s1,s1186,s1190,s1142]) ).

cnf(s1194,plain,
    ( spl0_4
    | spl0_1 ),
    inference(rat,[],[s5,s834,s204,s1193,s1190,s696,s81,s124,s125,s47,s1188,s1,s1142]) ).

cnf(s1195,plain,
    spl0_1,
    inference(rat,[],[s1194,s1186]) ).

cnf(s1196,plain,
    ( spl0_8
    | ~ spl0_5
    | ~ spl0_4 ),
    inference(rat,[],[s10,s1104,s397,s100,s101,s135,s7,s36,s538,s1165,s151,s152,s1154,s1180,s50,s1185,s1168,s1163,s1179,s1142]) ).

cnf(s1197,plain,
    ( ~ spl0_5
    | ~ spl0_4 ),
    inference(rat,[],[s7,s1104,s924,s10,s622,s397,s102,s103,s136,s100,s101,s135,s39,s36,s321,s538,s1165,s150,s151,s152,s1182,s1152,s1196,s1163,s1179,s1185,s1177,s1142,s1195]) ).

cnf(s1198,plain,
    ( ~ spl0_9
    | ~ spl0_7 ),
    inference(rat,[],[s321,s150,s151,s1153,s1195]) ).

cnf(s1199,plain,
    ( ~ spl0_7
    | ~ spl0_111
    | ~ spl0_112
    | spl0_8 ),
    inference(rat,[],[s1198,s3,s652,s1142]) ).

cnf(s1200,plain,
    ( spl0_28
    | spl0_49
    | ~ spl0_41 ),
    inference(rat,[],[s15,s1156,s1160,s163,s1142]) ).

cnf(s1201,plain,
    ( spl0_8
    | ~ spl0_4 ),
    inference(rat,[],[s1192,s992,s79,s80,s123,s52,s229,s1156,s1173,s100,s101,s135,s4,s36,s21,s538,s1165,s151,s152,s1200,s1163,s1161,s2,s1199,s115,s116,s26,s28,s1143,s1185,s1197,s1142]) ).

cnf(s1202,plain,
    ( spl0_6
    | ~ spl0_4 ),
    inference(rat,[],[s242,s147,s148,s149,s1200,s34,s888,s82,s83,s160,s1148,s18,s2,s1143,s1185,s1197,s1152,s1201,s1142]) ).

cnf(s1203,plain,
    ( ~ spl0_15
    | ~ spl0_4 ),
    inference(rat,[],[s888,s34,s82,s83,s1200,s160,s1165,s21,s1163,s1161,s1202,s1152,s204,s1201,s1197,s1143,s1142]) ).

cnf(s1204,plain,
    ~ spl0_4,
    inference(rat,[],[s1203,s1185]) ).

cnf(s1205,plain,
    ( spl0_8
    | ~ spl0_5 ),
    inference(rat,[],[s1058,s992,s79,s80,s123,s52,s1173,s4,s356,s87,s127,s128,s16,s1142,s1204]) ).

cnf(s1206,plain,
    ( ~ spl0_30
    | ~ spl0_17
    | ~ spl0_5 ),
    inference(rat,[],[s257,s105,s140]) ).

cnf(s1207,plain,
    ( ~ spl0_57
    | ~ spl0_25
    | ~ spl0_8 ),
    inference(rat,[],[s667,s460,s106,s107,s141]) ).

cnf(s1210,plain,
    ( spl0_68
    | ~ spl0_112
    | ~ spl0_25
    | ~ spl0_5 ),
    inference(rat,[],[s727,s201,s44,s1207,s1205,s1168,s1142]) ).

cnf(s1212,plain,
    ~ spl0_51,
    inference(rat,[],[s981,s111,s145,s146,s1195]) ).

cnf(s1213,plain,
    ( ~ spl0_38
    | ~ spl0_15 ),
    inference(rat,[],[s696,s81,s124,s125]) ).

cnf(s1214,plain,
    ( ~ spl0_25
    | ~ spl0_5 ),
    inference(rat,[],[s1210,s72,s116,s164,s1213,s44,s1207,s1168,s1205,s1212,s1142]) ).

cnf(s1215,plain,
    ( ~ spl0_28
    | ~ spl0_44
    | ~ spl0_5 ),
    inference(rat,[],[s973,s77,s120,s25,s722,s7,s560,s535,s1133,s11,s231,s93,s94,s95,s85,s86,s126,s37,s38,s21,s321,s1165,s150,s151,s1161,s18,s1206,s17,s1214,s1152,s1205,s115,s72,s1195,s1142,s1212,s1204]) ).

cnf(s1216,plain,
    ( ~ spl0_15
    | ~ spl0_5 ),
    inference(rat,[],[s356,s87,s127,s128,s29,s877,s880,s74,s75,s119,s13,s945,s21,s952,s11,s231,s85,s86,s126,s10,s38,s1019,s242,s82,s84,s147,s148,s149,s160,s1182,s1215,s287,s72,s115,s116,s164,s1213,s1161,s18,s1206,s17,s1214,s1152,s1205,s1142,s1204,s1212]) ).

cnf(s1217,plain,
    ( ~ spl0_28
    | ~ spl0_5 ),
    inference(rat,[],[s6,s535,s222,s93,s95,s81,s124,s37,s164,s21,s321,s1215,s1165,s150,s151,s1161,s18,s1152,s1205,s9,s1216,s1206,s17,s1214,s1142,s1212,s1195,s1204]) ).

cnf(s1218,plain,
    ~ spl0_5,
    inference(rat,[],[s1147,s1154,s15,s7,s1191,s947,s722,s21,s5,s952,s82,s84,s160,s1217,s9,s1216,s1161,s18,s1206,s17,s1214,s1152,s1205,s1142,s1204]) ).

cnf(s1219,plain,
    spl0_6,
    inference(rat,[],[s321,s150,s151,s2,s14,s1195,s1142,s1218,s1204]) ).

cnf(s1220,plain,
    ~ spl0_35,
    inference(rat,[],[s1161,s1219]) ).

cnf(s1221,plain,
    ( spl0_10
    | spl0_11 ),
    inference(rat,[],[s880,s877,s74,s75,s119,s7,s13,s1219,s1142,s1204]) ).

cnf(s1222,plain,
    ( ~ spl0_10
    | ~ spl0_36
    | ~ spl0_8 ),
    inference(rat,[],[s945,s115,s116,s164,s1213,s947,s1212,s1219]) ).

cnf(s1223,plain,
    ~ spl0_8,
    inference(rat,[],[s1222,s1221,s21,s203,s204,s1220,s1142,s1218]) ).

cnf(s1224,plain,
    spl0_44,
    inference(rat,[],[s28,s1218,s1142,s1223]) ).

cnf(s1225,plain,
    spl0_29,
    inference(rat,[],[s16,s1204,s1142,s1223]) ).

cnf(s1226,plain,
    spl0_112,
    inference(rat,[],[s116,s1224]) ).

cnf(s1227,plain,
    spl0_111,
    inference(rat,[],[s115,s1224]) ).

cnf(s1229,plain,
    spl0_124,
    inference(rat,[],[s128,s1225]) ).

cnf(s1230,plain,
    spl0_123,
    inference(rat,[],[s127,s1225]) ).

cnf(s1231,plain,
    ~ spl0_83,
    inference(rat,[],[s87,s1225]) ).

cnf(s1233,plain,
    ~ spl0_11,
    inference(rat,[],[s356,s1229,s1230,s1231]) ).

cnf(s1234,plain,
    ~ spl0_13,
    inference(rat,[],[s987,s1230,s1195,s1231]) ).

cnf(s1238,plain,
    spl0_10,
    inference(rat,[],[s1221,s1233]) ).

cnf(s1239,plain,
    spl0_36,
    inference(rat,[],[s21,s1220,s1142,s1234]) ).

cnf(s1247,plain,
    $false,
    inference(rat,[],[s945,s1226,s1227,s1219,s1239,s1238]) ).

fof(f3310,plain,
    $false,
    inference(avatar_sat_refutation,[],[s1247]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN473-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19  % Computer : n013.cluster.edu
% 0.07/0.19  % Model    : x86_64 x86_64
% 0.07/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19  % Memory   : 8046.5625MB
% 0.07/0.19  % OS       : Linux 6.8.0-71-generic
% 0.07/0.19  % CPULimit : 300
% 0.07/0.19  % WCLimit  : 300
% 0.07/0.19  % DateTime : Mon Sep 28 16:10:52 UTC 2026
% 0.07/0.19  % CPUTime  : 
% 0.07/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22  Running first-order theorem proving
% 0.07/0.22  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.65/1.02  % (1303335)Input is clausal, will run a generic CNF schedule.
% 0.65/1.02  % (1303415)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1822938801:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.65/1.02  % (1303415)First to succeed.
% 0.65/1.02  % (1303415)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1303335"
% 0.65/1.02  % (1303412)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3727118601:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.65/1.02  % (1303411)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1739099383:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.65/1.02  % (1303417)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3617949610:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.65/1.02  % (1303418)dis-21_1_sil=8000:lcm=predicate:random_seed=1743380437:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 0.65/1.02  % (1303409)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1715181728:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.65/1.02  % (1303414)lrs+10_1_sil=8000:sp=occurrence:random_seed=2385633690:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.65/1.02  % (1303418)Also succeeded, but the first one will report.
% 0.65/1.02  % (1303417)Also succeeded, but the first one will report.
% 0.65/1.02  % (1303414)Also succeeded, but the first one will report.
% 0.65/1.02  % (1303415)Refutation found. Thanks to Tanya!
% 0.65/1.02  % SZS status Unsatisfiable for theBenchmark
% 0.65/1.02  % SZS output start Proof for theBenchmark
% See solution above
% 3.02/1.22  % (1303415)------------------------------
% 3.02/1.22  % (1303415)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.02/1.22  % (1303415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/1.22  % (1303415)CaDiCaL version: 2.1.3
% 3.02/1.22  % (1303415)Termination reason: Refutation
% 3.02/1.22  % (1303415)Time elapsed: 0.030 s
% 3.02/1.22  % (1303415)Peak memory usage: 90 MB
% 3.02/1.22  % (1303415)Instructions burned: 81 (million)
% 3.02/1.22  % (1303415)------------------------------
% 3.02/1.22  % (1303415)------------------------------
% 3.02/1.22  % (1303335)Success in time 0.354 s
% 3.02/1.22  % Vampire exiting
%------------------------------------------------------------------------------