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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN502-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 02:15:37 PM UTC 2026

% Result   : Unsatisfiable 0.06s 0.26s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :  244
% Syntax   : Number of formulae    :  936 (  17 unt; 130 def)
%            Number of atoms       : 3060 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 3799 (1675   ~;1994   |;   0   &)
%                                         ( 130 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  161 ( 160 usr; 157 prp; 0-1 aty)
%            Number of functors    :   25 (  25 usr;  25 con; 0-0 aty)
%            Number of variables   :  140 (   0 sgn 140   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,negated_conjecture,
    ( ~ hskp24
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).

fof(f9,negated_conjecture,
    ( ~ hskp23
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).

fof(f19,negated_conjecture,
    ( ~ hskp13
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause19) ).

fof(f36,negated_conjecture,
    ( hskp8
    | hskp7
    | hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

fof(f41,negated_conjecture,
    ( hskp23
    | hskp13
    | hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

fof(f43,negated_conjecture,
    ( ~ hskp31
    | c0_1(a246) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

fof(f44,negated_conjecture,
    ( ~ hskp31
    | c2_1(a246) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

fof(f45,negated_conjecture,
    ( ~ hskp31
    | c3_1(a246) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f46,negated_conjecture,
    ( ~ hskp30
    | c0_1(a243) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f47,negated_conjecture,
    ( ~ hskp30
    | c1_1(a243) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f48,negated_conjecture,
    ( ~ hskp30
    | c3_1(a243) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f49,negated_conjecture,
    ( ~ hskp29
    | c1_1(a240) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f50,negated_conjecture,
    ( ~ hskp29
    | c2_1(a240) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f51,negated_conjecture,
    ( ~ hskp29
    | c3_1(a240) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f56,negated_conjecture,
    ( ~ hskp25
    | c1_1(a294) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

fof(f57,negated_conjecture,
    ( ~ hskp25
    | c2_1(a294) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f58,negated_conjecture,
    ( ~ hskp24
    | c3_1(a282) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f59,negated_conjecture,
    ( ~ hskp23
    | c1_1(a281) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f60,negated_conjecture,
    ( ~ hskp23
    | c3_1(a281) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f61,negated_conjecture,
    ( ~ hskp22
    | c0_1(a276) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f62,negated_conjecture,
    ( ~ hskp22
    | c1_1(a276) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f63,negated_conjecture,
    ( ~ hskp21
    | c0_1(a274) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f65,negated_conjecture,
    ( ~ hskp20
    | c0_1(a271) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f67,negated_conjecture,
    ( ~ hskp19
    | c0_1(a269) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f68,negated_conjecture,
    ( ~ hskp19
    | c3_1(a269) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f69,negated_conjecture,
    ( ~ hskp18
    | c1_1(a265) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f70,negated_conjecture,
    ( ~ hskp18
    | c2_1(a265) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f71,negated_conjecture,
    ( ~ hskp16
    | c1_1(a259) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f72,negated_conjecture,
    ( ~ hskp14
    | c2_1(a257) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f73,negated_conjecture,
    ( ~ hskp14
    | c3_1(a257) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f74,negated_conjecture,
    ( ~ hskp13
    | c1_1(a253) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f75,negated_conjecture,
    ( ~ hskp12
    | c0_1(a252) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f76,negated_conjecture,
    ( ~ hskp11
    | c2_1(a251) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f77,negated_conjecture,
    ( ~ hskp10
    | c0_1(a249) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f78,negated_conjecture,
    ( ~ hskp10
    | c3_1(a249) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f80,negated_conjecture,
    ( ~ hskp8
    | c0_1(a245) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( ~ hskp8
    | c2_1(a245) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( ~ hskp7
    | c0_1(a244) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f84,negated_conjecture,
    ( ~ hskp5
    | c2_1(a241) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f85,negated_conjecture,
    ( ~ hskp5
    | c3_1(a241) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f86,negated_conjecture,
    ( ~ hskp4
    | c3_1(a239) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f87,negated_conjecture,
    ( ~ hskp3
    | c0_1(a238) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

fof(f90,negated_conjecture,
    ( ~ hskp0
    | c1_1(a234) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

fof(f96,negated_conjecture,
    ( ~ c3_1(a294)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f97,negated_conjecture,
    ( ~ c0_1(a282)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f98,negated_conjecture,
    ( ~ c2_1(a282)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f99,negated_conjecture,
    ( ~ c2_1(a281)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f100,negated_conjecture,
    ( ~ c3_1(a276)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f101,negated_conjecture,
    ( ~ c3_1(a274)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f102,negated_conjecture,
    ( ~ c2_1(a271)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f103,negated_conjecture,
    ( ~ c1_1(a269)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

fof(f104,negated_conjecture,
    ( ~ c0_1(a265)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f105,negated_conjecture,
    ( ~ c0_1(a263)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f107,negated_conjecture,
    ( ~ c3_1(a263)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f108,negated_conjecture,
    ( ~ c2_1(a259)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f109,negated_conjecture,
    ( ~ c3_1(a259)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f110,negated_conjecture,
    ( ~ c0_1(a258)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

fof(f111,negated_conjecture,
    ( ~ c2_1(a258)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f112,negated_conjecture,
    ( ~ c3_1(a258)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f113,negated_conjecture,
    ( ~ c1_1(a257)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f114,negated_conjecture,
    ( ~ c0_1(a253)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f115,negated_conjecture,
    ( ~ c3_1(a253)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f116,negated_conjecture,
    ( ~ c1_1(a252)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f117,negated_conjecture,
    ( ~ c3_1(a252)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f119,negated_conjecture,
    ( ~ c3_1(a251)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f120,negated_conjecture,
    ( ~ c2_1(a249)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f123,negated_conjecture,
    ( ~ c1_1(a245)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f124,negated_conjecture,
    ( ~ c1_1(a244)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f125,negated_conjecture,
    ( ~ c2_1(a244)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f128,negated_conjecture,
    ( ~ c0_1(a241)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

fof(f129,negated_conjecture,
    ( ~ c1_1(a239)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f130,negated_conjecture,
    ( ~ c2_1(a239)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

fof(f131,negated_conjecture,
    ( ~ c2_1(a238)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

fof(f132,negated_conjecture,
    ( ~ c3_1(a238)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

fof(f137,negated_conjecture,
    ( ~ c0_1(a234)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).

fof(f138,negated_conjecture,
    ( ~ c2_1(a234)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).

fof(f143,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).

fof(f151,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | hskp16
      | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).

fof(f153,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X0)
      | hskp22
      | hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).

fof(f155,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X0)
      | hskp31
      | hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).

fof(f156,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X0)
      | hskp19
      | hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).

fof(f159,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp19
      | hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).

fof(f160,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp23
      | hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).

fof(f161,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp11
      | hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).

fof(f162,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp10
      | hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).

fof(f163,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp12
      | hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).

fof(f164,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp25
      | hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).

fof(f167,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).

fof(f169,negated_conjecture,
    ! [X0,X1] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

fof(f172,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

fof(f173,negated_conjecture,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

fof(f177,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c0_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).

fof(f178,negated_conjecture,
    ! [X0,X1] :
      ( ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | c0_1(X0)
      | hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).

fof(f179,negated_conjecture,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c1_1(X0)
      | c2_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).

fof(f180,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).

fof(f182,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).

fof(f183,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).

fof(f185,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).

fof(f186,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).

fof(f187,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c0_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause187) ).

fof(f189,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause189) ).

fof(f191,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c1_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause191) ).

fof(f193,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c2_1(X0)
      | c2_1(X1)
      | c3_1(X1)
      | hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause193) ).

fof(f195,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | hskp31 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause195) ).

fof(f196,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause196) ).

fof(f197,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c0_1(X1)
      | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause197) ).

fof(f199,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | c1_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause199) ).

fof(f200,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | c0_1(X2)
      | c2_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause200) ).

fof(f201,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c1_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | c1_1(X2)
      | c2_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause201) ).

fof(f202,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X2)
      | c2_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause202) ).

fof(f203,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X2)
      | c3_1(X0)
      | c2_1(X1)
      | c3_1(X1)
      | c1_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause203) ).

fof(f204,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c0_1(X1)
      | c0_1(X2)
      | c1_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause204) ).

fof(f205,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X2)
      | c2_1(X0)
      | c1_1(X1)
      | c1_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause205) ).

fof(f206,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X2)
      | c2_1(X1)
      | c2_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause206) ).

fof(f208,definition,
    ( spl0_1
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f209,plain,
    ( ! [X2] :
        ( ~ c0_1(X2)
        | c3_1(X2)
        | c2_1(X2) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f208]) ).

fof(f211,definition,
    ( spl0_2
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f212,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f211]) ).

fof(f214,definition,
    ( spl0_3
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f218,definition,
    ( spl0_4
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f219,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f218]) ).

fof(f220,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f206,f218,f214,f211,f208]) ).

fof(f222,definition,
    ( spl0_5
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c3_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f223,plain,
    ( ! [X2] :
        ( ~ c0_1(X2)
        | c3_1(X2)
        | c1_1(X2) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f222]) ).

fof(f225,definition,
    ( spl0_6
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f226,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f225]) ).

fof(f228,definition,
    ( spl0_7
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f229,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f228]) ).

fof(f230,plain,
    ( spl0_5
    | spl0_6
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f205,f228,f214,f225,f222]) ).

fof(f232,definition,
    ( spl0_8
  <=> ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f233,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f232]) ).

fof(f235,definition,
    ( spl0_9
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f236,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f235]) ).

fof(f237,plain,
    ( spl0_8
    | spl0_9
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f204,f218,f214,f235,f232]) ).

fof(f239,definition,
    ( spl0_10
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f240,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c1_1(X2) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f239]) ).

fof(f242,definition,
    ( spl0_11
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f243,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f242]) ).

fof(f245,definition,
    ( spl0_12
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f246,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f247,plain,
    ( spl0_10
    | spl0_11
    | ~ spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f203,f245,f214,f242,f239]) ).

fof(f249,definition,
    ( spl0_13
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f250,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f249]) ).

fof(f252,definition,
    ( spl0_14
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f253,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f252]) ).

fof(f254,plain,
    ( spl0_13
    | spl0_14
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f202,f211,f214,f252,f249]) ).

fof(f256,definition,
    ( spl0_15
  <=> ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f257,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | c2_1(X2) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f259,definition,
    ( spl0_16
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f260,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f259]) ).

fof(f261,plain,
    ( spl0_15
    | spl0_16
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f201,f225,f214,f259,f256]) ).

fof(f263,definition,
    ( spl0_17
  <=> ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f264,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c0_1(X2)
        | c2_1(X2) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f263]) ).

fof(f266,definition,
    ( spl0_18
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f267,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f266]) ).

fof(f268,plain,
    ( spl0_17
    | spl0_18
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f200,f228,f214,f266,f263]) ).

fof(f269,plain,
    ( spl0_8
    | spl0_14
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f199,f211,f214,f252,f232]) ).

fof(f276,definition,
    ( spl0_20
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f280,definition,
    ( spl0_21
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f281,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f280]) ).

fof(f282,plain,
    ( spl0_20
    | spl0_9
    | ~ spl0_3
    | spl0_21 ),
    inference(avatar_split_clause,[],[f197,f280,f214,f235,f276]) ).

fof(f284,definition,
    ( spl0_22
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f288,definition,
    ( spl0_23
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f289,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f288]) ).

fof(f291,definition,
    ( spl0_24
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f292,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f291]) ).

fof(f293,plain,
    ( spl0_22
    | spl0_23
    | ~ spl0_3
    | spl0_24 ),
    inference(avatar_split_clause,[],[f196,f291,f214,f288,f284]) ).

fof(f295,definition,
    ( spl0_25
  <=> hskp31 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f299,definition,
    ( spl0_26
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f300,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f299]) ).

fof(f301,plain,
    ( spl0_25
    | spl0_26
    | ~ spl0_3
    | spl0_24 ),
    inference(avatar_split_clause,[],[f195,f291,f214,f299,f295]) ).

fof(f303,definition,
    ( spl0_27
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f313,plain,
    ( spl0_27
    | spl0_11
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f193,f228,f214,f242,f303]) ).

fof(f315,definition,
    ( spl0_30
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f319,definition,
    ( spl0_31
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f320,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f319]) ).

fof(f323,definition,
    ( spl0_32
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f326,plain,
    ( spl0_32
    | spl0_31
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f191,f225,f214,f319,f323]) ).

fof(f329,definition,
    ( spl0_33
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f332,plain,
    ( spl0_33
    | spl0_10
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f189,f211,f214,f239,f329]) ).

fof(f334,definition,
    ( spl0_34
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f342,definition,
    ( spl0_36
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f345,plain,
    ( spl0_36
    | spl0_14
    | ~ spl0_3
    | spl0_26 ),
    inference(avatar_split_clause,[],[f187,f299,f214,f252,f342]) ).

fof(f347,definition,
    ( spl0_37
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f350,plain,
    ( spl0_37
    | spl0_18
    | ~ spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f186,f245,f214,f266,f347]) ).

fof(f352,definition,
    ( spl0_38
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f355,plain,
    ( spl0_38
    | spl0_13
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f185,f225,f214,f249,f352]) ).

fof(f357,definition,
    ( spl0_39
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f364,plain,
    ( spl0_34
    | spl0_8
    | ~ spl0_3
    | spl0_21 ),
    inference(avatar_split_clause,[],[f183,f280,f214,f232,f334]) ).

fof(f366,definition,
    ( spl0_41
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f369,plain,
    ( spl0_41
    | spl0_8
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f182,f218,f214,f232,f366]) ).

fof(f375,plain,
    ( spl0_36
    | spl0_10
    | ~ spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f180,f242,f214,f239,f342]) ).

fof(f377,definition,
    ( spl0_43
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f380,plain,
    ( spl0_43
    | spl0_16
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f179,f239,f214,f259,f377]) ).

fof(f382,definition,
    ( spl0_44
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f385,plain,
    ( spl0_44
    | spl0_15
    | spl0_9
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f178,f214,f235,f256,f382]) ).

fof(f387,definition,
    ( spl0_45
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f390,plain,
    ( spl0_45
    | spl0_13
    | ~ spl0_3
    | spl0_14 ),
    inference(avatar_split_clause,[],[f177,f252,f214,f249,f387]) ).

fof(f392,definition,
    ( spl0_46
  <=> ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f393,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f392]) ).

fof(f401,plain,
    ( spl0_20
    | spl0_17
    | ~ spl0_3
    | spl0_18 ),
    inference(avatar_split_clause,[],[f173,f266,f214,f263,f276]) ).

fof(f403,definition,
    ( spl0_48
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f406,plain,
    ( spl0_48
    | spl0_46
    | ~ spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f172,f222,f214,f392,f403]) ).

fof(f418,definition,
    ( spl0_51
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f421,plain,
    ( spl0_51
    | spl0_8
    | spl0_17
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f169,f214,f263,f232,f418]) ).

fof(f427,definition,
    ( spl0_53
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f431,plain,
    ( spl0_34
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f167,f218,f214,f334]) ).

fof(f434,definition,
    ( spl0_54
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f441,plain,
    ( spl0_30
    | spl0_32
    | ~ spl0_3
    | spl0_23 ),
    inference(avatar_split_clause,[],[f164,f288,f214,f323,f315]) ).

fof(f443,definition,
    ( spl0_56
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f446,plain,
    ( spl0_41
    | spl0_56
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f163,f225,f214,f443,f366]) ).

fof(f447,plain,
    ( spl0_30
    | spl0_36
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f162,f225,f214,f342,f315]) ).

fof(f448,plain,
    ( spl0_53
    | spl0_20
    | ~ spl0_3
    | spl0_26 ),
    inference(avatar_split_clause,[],[f161,f299,f214,f276,f427]) ).

fof(f450,definition,
    ( spl0_57
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f453,plain,
    ( spl0_53
    | spl0_57
    | ~ spl0_3
    | spl0_26 ),
    inference(avatar_split_clause,[],[f160,f299,f214,f450,f427]) ).

fof(f455,definition,
    ( spl0_58
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f458,plain,
    ( spl0_58
    | spl0_54
    | ~ spl0_3
    | spl0_26 ),
    inference(avatar_split_clause,[],[f159,f299,f214,f434,f455]) ).

fof(f460,definition,
    ( spl0_59
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f465,definition,
    ( spl0_60
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f469,plain,
    ( spl0_38
    | spl0_54
    | ~ spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f156,f242,f214,f434,f352]) ).

fof(f470,plain,
    ( spl0_34
    | spl0_25
    | ~ spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f155,f242,f214,f295,f334]) ).

fof(f472,plain,
    ( spl0_22
    | spl0_59
    | ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f153,f208,f214,f460,f284]) ).

fof(f478,plain,
    ( spl0_20
    | spl0_37
    | ~ spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f151,f259,f214,f347,f276]) ).

fof(f492,plain,
    ( spl0_33
    | ~ spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f143,f222,f214,f329]) ).

fof(f498,definition,
    ( spl0_64
  <=> c2_1(a234) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f501,plain,
    ( ~ spl0_51
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f138,f498,f418]) ).

fof(f503,definition,
    ( spl0_65
  <=> c0_1(a234) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f506,plain,
    ( ~ spl0_51
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f137,f503,f418]) ).

fof(f528,definition,
    ( spl0_70
  <=> c3_1(a238) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f530,plain,
    ( ~ c3_1(a238)
    | spl0_70 ),
    inference(avatar_component_clause,[],[f528]) ).

fof(f531,plain,
    ( ~ spl0_41
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f132,f528,f366]) ).

fof(f533,definition,
    ( spl0_71
  <=> c2_1(a238) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f535,plain,
    ( ~ c2_1(a238)
    | spl0_71 ),
    inference(avatar_component_clause,[],[f533]) ).

fof(f536,plain,
    ( ~ spl0_41
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f131,f533,f366]) ).

fof(f538,definition,
    ( spl0_72
  <=> c2_1(a239) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f540,plain,
    ( ~ c2_1(a239)
    | spl0_72 ),
    inference(avatar_component_clause,[],[f538]) ).

fof(f541,plain,
    ( ~ spl0_34
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f130,f538,f334]) ).

fof(f543,definition,
    ( spl0_73
  <=> c1_1(a239) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f545,plain,
    ( ~ c1_1(a239)
    | spl0_73 ),
    inference(avatar_component_clause,[],[f543]) ).

fof(f546,plain,
    ( ~ spl0_34
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f129,f543,f334]) ).

fof(f548,definition,
    ( spl0_74
  <=> c0_1(a241) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f550,plain,
    ( ~ c0_1(a241)
    | spl0_74 ),
    inference(avatar_component_clause,[],[f548]) ).

fof(f551,plain,
    ( ~ spl0_30
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f128,f548,f315]) ).

fof(f563,definition,
    ( spl0_77
  <=> c2_1(a244) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f566,plain,
    ( ~ spl0_22
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f125,f563,f284]) ).

fof(f568,definition,
    ( spl0_78
  <=> c1_1(a244) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f571,plain,
    ( ~ spl0_22
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f124,f568,f284]) ).

fof(f573,definition,
    ( spl0_79
  <=> c1_1(a245) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f575,plain,
    ( ~ c1_1(a245)
    | spl0_79 ),
    inference(avatar_component_clause,[],[f573]) ).

fof(f576,plain,
    ( ~ spl0_39
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f123,f573,f357]) ).

fof(f588,definition,
    ( spl0_82
  <=> c2_1(a249) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f591,plain,
    ( ~ spl0_36
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f120,f588,f342]) ).

fof(f593,definition,
    ( spl0_83
  <=> c3_1(a251) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f595,plain,
    ( ~ c3_1(a251)
    | spl0_83 ),
    inference(avatar_component_clause,[],[f593]) ).

fof(f596,plain,
    ( ~ spl0_20
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f119,f593,f276]) ).

fof(f603,definition,
    ( spl0_85
  <=> c3_1(a252) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f605,plain,
    ( ~ c3_1(a252)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f603]) ).

fof(f606,plain,
    ( ~ spl0_56
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f117,f603,f443]) ).

fof(f608,definition,
    ( spl0_86
  <=> c1_1(a252) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f611,plain,
    ( ~ spl0_56
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f116,f608,f443]) ).

fof(f613,definition,
    ( spl0_87
  <=> c3_1(a253) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f615,plain,
    ( ~ c3_1(a253)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f613]) ).

fof(f616,plain,
    ( ~ spl0_60
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f115,f613,f465]) ).

fof(f618,definition,
    ( spl0_88
  <=> c0_1(a253) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f620,plain,
    ( ~ c0_1(a253)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f618]) ).

fof(f621,plain,
    ( ~ spl0_60
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f114,f618,f465]) ).

fof(f623,definition,
    ( spl0_89
  <=> c1_1(a257) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f626,plain,
    ( ~ spl0_45
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f113,f623,f387]) ).

fof(f628,definition,
    ( spl0_90
  <=> c3_1(a258) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f630,plain,
    ( ~ c3_1(a258)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f628]) ).

fof(f631,plain,
    ( ~ spl0_38
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f112,f628,f352]) ).

fof(f633,definition,
    ( spl0_91
  <=> c2_1(a258) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f635,plain,
    ( ~ c2_1(a258)
    | spl0_91 ),
    inference(avatar_component_clause,[],[f633]) ).

fof(f636,plain,
    ( ~ spl0_38
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f111,f633,f352]) ).

fof(f638,definition,
    ( spl0_92
  <=> c0_1(a258) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f641,plain,
    ( ~ spl0_38
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f110,f638,f352]) ).

fof(f643,definition,
    ( spl0_93
  <=> c3_1(a259) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f646,plain,
    ( ~ spl0_37
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f109,f643,f347]) ).

fof(f648,definition,
    ( spl0_94
  <=> c2_1(a259) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f650,plain,
    ( ~ c2_1(a259)
    | spl0_94 ),
    inference(avatar_component_clause,[],[f648]) ).

fof(f651,plain,
    ( ~ spl0_37
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f108,f648,f347]) ).

fof(f653,definition,
    ( spl0_95
  <=> c3_1(a263) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f655,plain,
    ( ~ c3_1(a263)
    | spl0_95 ),
    inference(avatar_component_clause,[],[f653]) ).

fof(f656,plain,
    ( ~ spl0_58
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f107,f653,f455]) ).

fof(f663,definition,
    ( spl0_97
  <=> c0_1(a263) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f665,plain,
    ( ~ c0_1(a263)
    | spl0_97 ),
    inference(avatar_component_clause,[],[f663]) ).

fof(f666,plain,
    ( ~ spl0_58
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f105,f663,f455]) ).

fof(f668,definition,
    ( spl0_98
  <=> c0_1(a265) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f670,plain,
    ( ~ c0_1(a265)
    | spl0_98 ),
    inference(avatar_component_clause,[],[f668]) ).

fof(f671,plain,
    ( ~ spl0_43
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f104,f668,f377]) ).

fof(f673,definition,
    ( spl0_99
  <=> c1_1(a269) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f675,plain,
    ( ~ c1_1(a269)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f673]) ).

fof(f676,plain,
    ( ~ spl0_54
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f103,f673,f434]) ).

fof(f678,definition,
    ( spl0_100
  <=> c2_1(a271) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f681,plain,
    ( ~ spl0_27
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f102,f678,f303]) ).

fof(f683,definition,
    ( spl0_101
  <=> c3_1(a274) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f686,plain,
    ( ~ spl0_44
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f101,f683,f382]) ).

fof(f688,definition,
    ( spl0_102
  <=> c3_1(a276) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f690,plain,
    ( ~ c3_1(a276)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f688]) ).

fof(f691,plain,
    ( ~ spl0_59
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f100,f688,f460]) ).

fof(f693,definition,
    ( spl0_103
  <=> c2_1(a281) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f695,plain,
    ( ~ c2_1(a281)
    | spl0_103 ),
    inference(avatar_component_clause,[],[f693]) ).

fof(f696,plain,
    ( ~ spl0_57
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f99,f693,f450]) ).

fof(f698,definition,
    ( spl0_104
  <=> c2_1(a282) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f700,plain,
    ( ~ c2_1(a282)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f698]) ).

fof(f701,plain,
    ( ~ spl0_53
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f98,f698,f427]) ).

fof(f703,definition,
    ( spl0_105
  <=> c0_1(a282) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f705,plain,
    ( ~ c0_1(a282)
    | spl0_105 ),
    inference(avatar_component_clause,[],[f703]) ).

fof(f706,plain,
    ( ~ spl0_53
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f97,f703,f427]) ).

fof(f708,definition,
    ( spl0_106
  <=> c3_1(a294) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f711,plain,
    ( ~ spl0_32
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f96,f708,f323]) ).

fof(f738,definition,
    ( spl0_112
  <=> c1_1(a234) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f740,plain,
    ( c1_1(a234)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f738]) ).

fof(f741,plain,
    ( spl0_112
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f90,f418,f738]) ).

fof(f753,definition,
    ( spl0_115
  <=> c0_1(a238) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f755,plain,
    ( c0_1(a238)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f753]) ).

fof(f756,plain,
    ( spl0_115
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f87,f366,f753]) ).

fof(f758,definition,
    ( spl0_116
  <=> c3_1(a239) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f760,plain,
    ( c3_1(a239)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f758]) ).

fof(f761,plain,
    ( spl0_116
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f86,f334,f758]) ).

fof(f763,definition,
    ( spl0_117
  <=> c3_1(a241) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f765,plain,
    ( c3_1(a241)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f763]) ).

fof(f766,plain,
    ( spl0_117
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f85,f315,f763]) ).

fof(f768,definition,
    ( spl0_118
  <=> c2_1(a241) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f770,plain,
    ( c2_1(a241)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f768]) ).

fof(f771,plain,
    ( spl0_118
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f84,f315,f768]) ).

fof(f778,definition,
    ( spl0_120
  <=> c0_1(a244) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f780,plain,
    ( c0_1(a244)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f778]) ).

fof(f781,plain,
    ( spl0_120
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f82,f284,f778]) ).

fof(f783,definition,
    ( spl0_121
  <=> c2_1(a245) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f785,plain,
    ( c2_1(a245)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f783]) ).

fof(f786,plain,
    ( spl0_121
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f81,f357,f783]) ).

fof(f788,definition,
    ( spl0_122
  <=> c0_1(a245) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f790,plain,
    ( c0_1(a245)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f788]) ).

fof(f791,plain,
    ( spl0_122
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f80,f357,f788]) ).

fof(f798,definition,
    ( spl0_124
  <=> c3_1(a249) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f800,plain,
    ( c3_1(a249)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f798]) ).

fof(f801,plain,
    ( spl0_124
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f78,f342,f798]) ).

fof(f803,definition,
    ( spl0_125
  <=> c0_1(a249) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f805,plain,
    ( c0_1(a249)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f803]) ).

fof(f806,plain,
    ( spl0_125
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f77,f342,f803]) ).

fof(f808,definition,
    ( spl0_126
  <=> c2_1(a251) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f810,plain,
    ( c2_1(a251)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f808]) ).

fof(f811,plain,
    ( spl0_126
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f76,f276,f808]) ).

fof(f813,definition,
    ( spl0_127
  <=> c0_1(a252) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f815,plain,
    ( c0_1(a252)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f813]) ).

fof(f816,plain,
    ( spl0_127
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f75,f443,f813]) ).

fof(f818,definition,
    ( spl0_128
  <=> c1_1(a253) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f820,plain,
    ( c1_1(a253)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f818]) ).

fof(f821,plain,
    ( spl0_128
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f74,f465,f818]) ).

fof(f823,definition,
    ( spl0_129
  <=> c3_1(a257) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f825,plain,
    ( c3_1(a257)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f823]) ).

fof(f826,plain,
    ( spl0_129
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f73,f387,f823]) ).

fof(f828,definition,
    ( spl0_130
  <=> c2_1(a257) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f830,plain,
    ( c2_1(a257)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f828]) ).

fof(f831,plain,
    ( spl0_130
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f72,f387,f828]) ).

fof(f833,definition,
    ( spl0_131
  <=> c1_1(a259) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f835,plain,
    ( c1_1(a259)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f833]) ).

fof(f836,plain,
    ( spl0_131
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f71,f347,f833]) ).

fof(f838,definition,
    ( spl0_132
  <=> c2_1(a265) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f840,plain,
    ( c2_1(a265)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f838]) ).

fof(f841,plain,
    ( spl0_132
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f70,f377,f838]) ).

fof(f843,definition,
    ( spl0_133
  <=> c1_1(a265) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f845,plain,
    ( c1_1(a265)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f843]) ).

fof(f846,plain,
    ( spl0_133
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f69,f377,f843]) ).

fof(f848,definition,
    ( spl0_134
  <=> c3_1(a269) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f850,plain,
    ( c3_1(a269)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f848]) ).

fof(f851,plain,
    ( spl0_134
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f68,f434,f848]) ).

fof(f853,definition,
    ( spl0_135
  <=> c0_1(a269) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f855,plain,
    ( c0_1(a269)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f853]) ).

fof(f856,plain,
    ( spl0_135
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f67,f434,f853]) ).

fof(f863,definition,
    ( spl0_137
  <=> c0_1(a271) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f865,plain,
    ( c0_1(a271)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f863]) ).

fof(f866,plain,
    ( spl0_137
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f65,f303,f863]) ).

fof(f873,definition,
    ( spl0_139
  <=> c0_1(a274) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f875,plain,
    ( c0_1(a274)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f873]) ).

fof(f876,plain,
    ( spl0_139
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f63,f382,f873]) ).

fof(f878,definition,
    ( spl0_140
  <=> c1_1(a276) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f880,plain,
    ( c1_1(a276)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f878]) ).

fof(f881,plain,
    ( spl0_140
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f62,f460,f878]) ).

fof(f883,definition,
    ( spl0_141
  <=> c0_1(a276) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f885,plain,
    ( c0_1(a276)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f883]) ).

fof(f886,plain,
    ( spl0_141
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f61,f460,f883]) ).

fof(f888,definition,
    ( spl0_142
  <=> c3_1(a281) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f890,plain,
    ( c3_1(a281)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f888]) ).

fof(f891,plain,
    ( spl0_142
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f60,f450,f888]) ).

fof(f893,definition,
    ( spl0_143
  <=> c1_1(a281) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f895,plain,
    ( c1_1(a281)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f893]) ).

fof(f896,plain,
    ( spl0_143
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f59,f450,f893]) ).

fof(f898,definition,
    ( spl0_144
  <=> c3_1(a282) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f900,plain,
    ( c3_1(a282)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f898]) ).

fof(f901,plain,
    ( spl0_144
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f58,f427,f898]) ).

fof(f903,definition,
    ( spl0_145
  <=> c2_1(a294) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f905,plain,
    ( c2_1(a294)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f903]) ).

fof(f906,plain,
    ( spl0_145
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f57,f323,f903]) ).

fof(f908,definition,
    ( spl0_146
  <=> c1_1(a294) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f910,plain,
    ( c1_1(a294)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f908]) ).

fof(f911,plain,
    ( spl0_146
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f56,f323,f908]) ).

fof(f933,definition,
    ( spl0_151
  <=> c3_1(a240) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f935,plain,
    ( c3_1(a240)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f933]) ).

fof(f936,plain,
    ( spl0_151
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f51,f329,f933]) ).

fof(f938,definition,
    ( spl0_152
  <=> c2_1(a240) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f940,plain,
    ( c2_1(a240)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f938]) ).

fof(f941,plain,
    ( spl0_152
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f50,f329,f938]) ).

fof(f943,definition,
    ( spl0_153
  <=> c1_1(a240) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f945,plain,
    ( c1_1(a240)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f943]) ).

fof(f946,plain,
    ( spl0_153
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f49,f329,f943]) ).

fof(f948,definition,
    ( spl0_154
  <=> c3_1(a243) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f951,plain,
    ( spl0_154
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f48,f403,f948]) ).

fof(f953,definition,
    ( spl0_155
  <=> c1_1(a243) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f955,plain,
    ( c1_1(a243)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f953]) ).

fof(f956,plain,
    ( spl0_155
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f47,f403,f953]) ).

fof(f958,definition,
    ( spl0_156
  <=> c0_1(a243) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f960,plain,
    ( c0_1(a243)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f958]) ).

fof(f961,plain,
    ( spl0_156
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f46,f403,f958]) ).

fof(f963,definition,
    ( spl0_157
  <=> c3_1(a246) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f965,plain,
    ( c3_1(a246)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f963]) ).

fof(f966,plain,
    ( spl0_157
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f45,f295,f963]) ).

fof(f968,definition,
    ( spl0_158
  <=> c2_1(a246) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f970,plain,
    ( c2_1(a246)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f968]) ).

fof(f971,plain,
    ( spl0_158
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f44,f295,f968]) ).

fof(f973,definition,
    ( spl0_159
  <=> c0_1(a246) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f975,plain,
    ( c0_1(a246)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f973]) ).

fof(f976,plain,
    ( spl0_159
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f43,f295,f973]) ).

fof(f978,plain,
    ( spl0_53
    | spl0_60
    | spl0_57 ),
    inference(avatar_split_clause,[],[f41,f450,f465,f427]) ).

fof(f983,plain,
    ( spl0_38
    | spl0_22
    | spl0_39 ),
    inference(avatar_split_clause,[],[f36,f357,f284,f352]) ).

fof(f1000,plain,
    ( spl0_3
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f19,f465,f214]) ).

fof(f1010,plain,
    ( spl0_3
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f9,f450,f214]) ).

fof(f1011,plain,
    ( spl0_3
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f8,f427,f214]) ).

fof(f1022,plain,
    ( c3_1(a245)
    | c1_1(a245)
    | ~ spl0_5
    | ~ spl0_122 ),
    inference(resolution,[],[f223,f790]) ).

fof(f1023,plain,
    ( c3_1(a245)
    | ~ spl0_5
    | spl0_79
    | ~ spl0_122 ),
    inference(forward_subsumption_resolution,[],[f1022,f575]) ).

fof(f1025,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[],[f226,f219]) ).

fof(f1031,plain,
    ( c3_1(a238)
    | c1_1(a238)
    | ~ spl0_5
    | ~ spl0_115 ),
    inference(resolution,[],[f755,f223]) ).

fof(f1032,plain,
    ( c1_1(a238)
    | ~ spl0_5
    | spl0_70
    | ~ spl0_115 ),
    inference(forward_subsumption_resolution,[],[f1031,f530]) ).

fof(f1033,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[],[f236,f219]) ).

fof(f1050,plain,
    ( c3_1(a276)
    | c2_1(a276)
    | ~ spl0_11
    | ~ spl0_140 ),
    inference(resolution,[],[f243,f880]) ).

fof(f1053,plain,
    ( c3_1(a238)
    | c2_1(a238)
    | ~ spl0_5
    | ~ spl0_11
    | spl0_70
    | ~ spl0_115 ),
    inference(resolution,[],[f243,f1032]) ).

fof(f1055,plain,
    ( c2_1(a238)
    | ~ spl0_5
    | ~ spl0_11
    | spl0_70
    | ~ spl0_115 ),
    inference(forward_subsumption_resolution,[],[f1053,f530]) ).

fof(f1057,plain,
    ( c2_1(a276)
    | ~ spl0_11
    | spl0_102
    | ~ spl0_140 ),
    inference(forward_subsumption_resolution,[],[f1050,f690]) ).

fof(f1060,plain,
    ( c3_1(a252)
    | c1_1(a252)
    | ~ spl0_5
    | ~ spl0_127 ),
    inference(resolution,[],[f815,f223]) ).

fof(f1061,plain,
    ( c1_1(a252)
    | ~ spl0_5
    | spl0_85
    | ~ spl0_127 ),
    inference(forward_subsumption_resolution,[],[f1060,f605]) ).

fof(f1065,plain,
    ( spl0_86
    | ~ spl0_5
    | spl0_85
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1061,f813,f603,f222,f608]) ).

fof(f1069,plain,
    ( c2_1(a239)
    | c1_1(a239)
    | ~ spl0_10
    | ~ spl0_116 ),
    inference(resolution,[],[f760,f240]) ).

fof(f1070,plain,
    ( c1_1(a239)
    | ~ spl0_10
    | spl0_72
    | ~ spl0_116 ),
    inference(forward_subsumption_resolution,[],[f1069,f540]) ).

fof(f1071,plain,
    ( $false
    | ~ spl0_10
    | spl0_72
    | spl0_73
    | ~ spl0_116 ),
    inference(forward_subsumption_resolution,[],[f1070,f545]) ).

fof(f1072,plain,
    ( ~ spl0_10
    | spl0_72
    | spl0_73
    | ~ spl0_116 ),
    inference(avatar_contradiction_clause,[],[f1071]) ).

fof(f1073,plain,
    ( c2_1(a269)
    | c1_1(a269)
    | ~ spl0_10
    | ~ spl0_134 ),
    inference(resolution,[],[f850,f240]) ).

fof(f1074,plain,
    ( c2_1(a269)
    | ~ spl0_10
    | spl0_99
    | ~ spl0_134 ),
    inference(forward_subsumption_resolution,[],[f1073,f675]) ).

fof(f1078,definition,
    ( spl0_160
  <=> c1_1(a246) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f1079,plain,
    ( ~ c1_1(a246)
    | spl0_160 ),
    inference(avatar_component_clause,[],[f1078]) ).

fof(f1080,plain,
    ( c1_1(a246)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1078]) ).

fof(f1090,plain,
    ( c3_1(a276)
    | ~ c2_1(a276)
    | ~ spl0_12
    | ~ spl0_140 ),
    inference(resolution,[],[f246,f880]) ).

fof(f1092,plain,
    ( c3_1(a253)
    | ~ c2_1(a253)
    | ~ spl0_12
    | ~ spl0_128 ),
    inference(resolution,[],[f246,f820]) ).

fof(f1097,plain,
    ( ~ c2_1(a253)
    | ~ spl0_12
    | spl0_87
    | ~ spl0_128 ),
    inference(forward_subsumption_resolution,[],[f1092,f615]) ).

fof(f1102,plain,
    ( c2_1(a253)
    | c0_1(a253)
    | ~ spl0_13
    | ~ spl0_128 ),
    inference(resolution,[],[f250,f820]) ).

fof(f1107,plain,
    ( c2_1(a253)
    | ~ spl0_13
    | spl0_88
    | ~ spl0_128 ),
    inference(forward_subsumption_resolution,[],[f1102,f620]) ).

fof(f1110,plain,
    ( c3_1(a253)
    | c0_1(a253)
    | ~ spl0_14
    | ~ spl0_128 ),
    inference(resolution,[],[f253,f820]) ).

fof(f1114,plain,
    ( c0_1(a253)
    | ~ spl0_14
    | spl0_87
    | ~ spl0_128 ),
    inference(forward_subsumption_resolution,[],[f1110,f615]) ).

fof(f1116,plain,
    ( $false
    | ~ spl0_14
    | spl0_87
    | spl0_88
    | ~ spl0_128 ),
    inference(forward_subsumption_resolution,[],[f1114,f620]) ).

fof(f1117,plain,
    ( ~ spl0_14
    | spl0_87
    | spl0_88
    | ~ spl0_128 ),
    inference(avatar_contradiction_clause,[],[f1116]) ).

fof(f1118,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f212,f240]) ).

fof(f1124,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c2_1(X2) )
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f257,f240]) ).

fof(f1127,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(resolution,[],[f1124,f219]) ).

fof(f1139,plain,
    ( c3_1(a274)
    | c1_1(a274)
    | ~ spl0_5
    | ~ spl0_139 ),
    inference(resolution,[],[f875,f223]) ).

fof(f1161,plain,
    ( c2_1(a269)
    | c1_1(a269)
    | ~ spl0_16
    | ~ spl0_135 ),
    inference(resolution,[],[f260,f855]) ).

fof(f1164,plain,
    ( c2_1(a238)
    | c1_1(a238)
    | ~ spl0_16
    | ~ spl0_115 ),
    inference(resolution,[],[f260,f755]) ).

fof(f1166,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_13
    | spl0_87
    | spl0_88
    | ~ spl0_128 ),
    inference(forward_subsumption_resolution,[],[f1107,f1097]) ).

fof(f1167,plain,
    ( ~ spl0_12
    | ~ spl0_13
    | spl0_87
    | spl0_88
    | ~ spl0_128 ),
    inference(avatar_contradiction_clause,[],[f1166]) ).

fof(f1173,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_8
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f233,f250]) ).

fof(f1186,plain,
    ( ~ c3_1(a281)
    | ~ c0_1(a281)
    | ~ spl0_4
    | ~ spl0_143 ),
    inference(resolution,[],[f895,f219]) ).

fof(f1187,plain,
    ( ~ c0_1(a281)
    | ~ spl0_4
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(forward_subsumption_resolution,[],[f1186,f890]) ).

fof(f1204,plain,
    ( c2_1(a282)
    | c1_1(a282)
    | ~ spl0_10
    | ~ spl0_144 ),
    inference(resolution,[],[f900,f240]) ).

fof(f1205,plain,
    ( c1_1(a282)
    | ~ spl0_10
    | spl0_104
    | ~ spl0_144 ),
    inference(forward_subsumption_resolution,[],[f1204,f700]) ).

fof(f1207,plain,
    ( ~ c0_1(a246)
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_157 ),
    inference(resolution,[],[f1025,f965]) ).

fof(f1210,plain,
    ( ~ c0_1(a269)
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_134 ),
    inference(resolution,[],[f1025,f850]) ).

fof(f1214,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_134
    | ~ spl0_135 ),
    inference(forward_subsumption_resolution,[],[f1210,f855]) ).

fof(f1215,plain,
    ( ~ spl0_4
    | ~ spl0_6
    | ~ spl0_134
    | ~ spl0_135 ),
    inference(avatar_contradiction_clause,[],[f1214]) ).

fof(f1216,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_157
    | ~ spl0_159 ),
    inference(forward_subsumption_resolution,[],[f1207,f975]) ).

fof(f1217,plain,
    ( ~ spl0_4
    | ~ spl0_6
    | ~ spl0_157
    | ~ spl0_159 ),
    inference(avatar_contradiction_clause,[],[f1216]) ).

fof(f1219,plain,
    ( spl0_71
    | ~ spl0_5
    | ~ spl0_11
    | spl0_70
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1055,f753,f528,f242,f222,f533]) ).

fof(f1236,plain,
    ( c2_1(a239)
    | c0_1(a239)
    | ~ spl0_8
    | spl0_73 ),
    inference(resolution,[],[f233,f545]) ).

fof(f1237,plain,
    ( c0_1(a239)
    | ~ spl0_8
    | spl0_72
    | spl0_73 ),
    inference(forward_subsumption_resolution,[],[f1236,f540]) ).

fof(f1244,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(resolution,[],[f243,f233]) ).

fof(f1254,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(duplicate_literal_removal,[],[f1244]) ).

fof(f1258,plain,
    ( spl0_17
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f1254,f242,f232,f263]) ).

fof(f1260,plain,
    ( ~ c3_1(a246)
    | ~ c0_1(a246)
    | ~ spl0_4
    | ~ spl0_160 ),
    inference(resolution,[],[f1080,f219]) ).

fof(f1261,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(resolution,[],[f253,f233]) ).

fof(f1272,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(duplicate_literal_removal,[],[f1261]) ).

fof(f1274,plain,
    ( spl0_17
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f1272,f252,f232,f263]) ).

fof(f1287,plain,
    ( c0_1(a258)
    | c2_1(a258)
    | ~ spl0_17
    | spl0_90 ),
    inference(resolution,[],[f264,f630]) ).

fof(f1299,definition,
    ( spl0_161
  <=> c3_1(a245) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1301,plain,
    ( c3_1(a245)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1299]) ).

fof(f1309,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[],[f267,f1025]) ).

fof(f1310,plain,
    ( c2_1(a282)
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_18
    | ~ spl0_144 ),
    inference(resolution,[],[f1309,f900]) ).

fof(f1331,plain,
    ( c3_1(a259)
    | c0_1(a259)
    | ~ spl0_14
    | ~ spl0_131 ),
    inference(resolution,[],[f835,f253]) ).

fof(f1332,plain,
    ( c3_1(a259)
    | c2_1(a259)
    | ~ spl0_11
    | ~ spl0_131 ),
    inference(resolution,[],[f835,f243]) ).

fof(f1338,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[],[f246,f243]) ).

fof(f1339,plain,
    ( ~ c2_1(a276)
    | ~ spl0_12
    | spl0_102
    | ~ spl0_140 ),
    inference(forward_subsumption_resolution,[],[f1090,f690]) ).

fof(f1344,plain,
    ( c3_1(a259)
    | ~ spl0_11
    | spl0_94
    | ~ spl0_131 ),
    inference(forward_subsumption_resolution,[],[f1332,f650]) ).

fof(f1346,definition,
    ( spl0_163
  <=> c0_1(a259) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f1348,plain,
    ( c0_1(a259)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1346]) ).

fof(f1349,plain,
    ( spl0_163
    | spl0_93
    | ~ spl0_14
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1331,f833,f252,f643,f1346]) ).

fof(f1350,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_12
    | spl0_102
    | ~ spl0_140 ),
    inference(forward_subsumption_resolution,[],[f1339,f1057]) ).

fof(f1351,plain,
    ( ~ spl0_11
    | ~ spl0_12
    | spl0_102
    | ~ spl0_140 ),
    inference(avatar_contradiction_clause,[],[f1350]) ).

fof(f1354,plain,
    ( spl0_93
    | ~ spl0_11
    | spl0_94
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1344,f833,f648,f242,f643]) ).

fof(f1357,definition,
    ( spl0_164
  <=> c2_1(a276) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f1383,definition,
    ( spl0_165
  <=> c0_1(a240) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1385,plain,
    ( ~ c0_1(a240)
    | spl0_165 ),
    inference(avatar_component_clause,[],[f1383]) ).

fof(f1413,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_9
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[],[f236,f253]) ).

fof(f1420,plain,
    ( c3_1(a274)
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_139 ),
    inference(forward_subsumption_resolution,[],[f1139,f1338]) ).

fof(f1421,plain,
    ( spl0_101
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1420,f873,f245,f242,f222,f683]) ).

fof(f1472,definition,
    ( spl0_168
  <=> c0_1(a239) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f1474,plain,
    ( c0_1(a239)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f1472]) ).

fof(f1478,plain,
    ( ~ c0_1(a239)
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_116 ),
    inference(resolution,[],[f760,f1025]) ).

fof(f1479,plain,
    ( c2_1(a239)
    | ~ c0_1(a239)
    | ~ spl0_7
    | ~ spl0_116 ),
    inference(resolution,[],[f760,f229]) ).

fof(f1481,plain,
    ( ~ c0_1(a239)
    | ~ spl0_7
    | spl0_72
    | ~ spl0_116 ),
    inference(forward_subsumption_resolution,[],[f1479,f540]) ).

fof(f1482,plain,
    ( ~ spl0_168
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1478,f758,f225,f218,f1472]) ).

fof(f1483,plain,
    ( ~ spl0_168
    | ~ spl0_7
    | spl0_72
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1481,f758,f538,f228,f1472]) ).

fof(f1485,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_10
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(resolution,[],[f1124,f253]) ).

fof(f1502,plain,
    ( spl0_17
    | ~ spl0_10
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f1485,f256,f252,f239,f263]) ).

fof(f1503,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1) )
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f212,f243]) ).

fof(f1505,plain,
    ( spl0_104
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_18
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1310,f898,f266,f225,f218,f698]) ).

fof(f1510,definition,
    ( spl0_169
  <=> c0_1(a281) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1512,plain,
    ( ~ c0_1(a281)
    | spl0_169 ),
    inference(avatar_component_clause,[],[f1510]) ).

fof(f1514,plain,
    ( ~ spl0_169
    | ~ spl0_4
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1187,f893,f888,f218,f1510]) ).

fof(f1536,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c2_1(X2) )
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f257,f1338]) ).

fof(f1552,plain,
    ( c2_1(a234)
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_112 ),
    inference(resolution,[],[f1503,f740]) ).

fof(f1562,plain,
    ( ~ c3_1(a240)
    | ~ c0_1(a240)
    | ~ spl0_4
    | ~ spl0_153 ),
    inference(resolution,[],[f945,f219]) ).

fof(f1573,plain,
    ( c2_1(a258)
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_15
    | spl0_90 ),
    inference(resolution,[],[f1536,f630]) ).

fof(f1575,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_15
    | spl0_90
    | spl0_91 ),
    inference(forward_subsumption_resolution,[],[f1573,f635]) ).

fof(f1576,plain,
    ( ~ spl0_11
    | ~ spl0_12
    | ~ spl0_15
    | spl0_90
    | spl0_91 ),
    inference(avatar_contradiction_clause,[],[f1575]) ).

fof(f1595,plain,
    ( spl0_168
    | ~ spl0_8
    | spl0_72
    | spl0_73 ),
    inference(avatar_split_clause,[],[f1237,f543,f538,f232,f1472]) ).

fof(f1598,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[],[f226,f223]) ).

fof(f1603,plain,
    ( c3_1(a294)
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_146 ),
    inference(resolution,[],[f910,f1338]) ).

fof(f1607,plain,
    ( spl0_106
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1603,f908,f245,f242,f708]) ).

fof(f1623,plain,
    ( c1_1(a244)
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_120 ),
    inference(resolution,[],[f1598,f780]) ).

fof(f1627,plain,
    ( spl0_78
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1623,f778,f225,f222,f568]) ).

fof(f1630,plain,
    ( c1_1(a245)
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_122 ),
    inference(resolution,[],[f790,f1598]) ).

fof(f1632,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_6
    | spl0_79
    | ~ spl0_122 ),
    inference(forward_subsumption_resolution,[],[f1630,f575]) ).

fof(f1633,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | spl0_79
    | ~ spl0_122 ),
    inference(avatar_contradiction_clause,[],[f1632]) ).

fof(f1636,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[],[f236,f1338]) ).

fof(f1637,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c0_1(X1) )
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_46 ),
    inference(forward_subsumption_resolution,[],[f393,f1338]) ).

fof(f1643,plain,
    ( c0_1(a240)
    | ~ spl0_9
    | ~ spl0_14
    | ~ spl0_153 ),
    inference(resolution,[],[f1413,f945]) ).

fof(f1650,plain,
    ( c0_1(a234)
    | ~ spl0_9
    | ~ spl0_14
    | ~ spl0_112 ),
    inference(resolution,[],[f1413,f740]) ).

fof(f1659,plain,
    ( spl0_165
    | ~ spl0_9
    | ~ spl0_14
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1643,f943,f252,f235,f1383]) ).

fof(f1661,plain,
    ( spl0_64
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1552,f738,f242,f211,f498]) ).

fof(f1664,plain,
    ( c0_1(a258)
    | ~ spl0_17
    | spl0_90
    | spl0_91 ),
    inference(forward_subsumption_resolution,[],[f1287,f635]) ).

fof(f1670,plain,
    ( spl0_92
    | ~ spl0_17
    | spl0_90
    | spl0_91 ),
    inference(avatar_split_clause,[],[f1664,f633,f628,f263,f638]) ).

fof(f1681,plain,
    ( c0_1(a265)
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_133 ),
    inference(resolution,[],[f1636,f845]) ).

fof(f1691,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_98
    | ~ spl0_133 ),
    inference(forward_subsumption_resolution,[],[f1681,f670]) ).

fof(f1692,plain,
    ( ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_98
    | ~ spl0_133 ),
    inference(avatar_contradiction_clause,[],[f1691]) ).

fof(f1695,plain,
    ( c2_1(a238)
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_16
    | ~ spl0_115 ),
    inference(forward_subsumption_resolution,[],[f1164,f1503]) ).

fof(f1702,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_16
    | spl0_71
    | ~ spl0_115 ),
    inference(forward_subsumption_resolution,[],[f1695,f535]) ).

fof(f1703,plain,
    ( ~ spl0_2
    | ~ spl0_11
    | ~ spl0_16
    | spl0_71
    | ~ spl0_115 ),
    inference(avatar_contradiction_clause,[],[f1702]) ).

fof(f1707,plain,
    ( spl0_65
    | ~ spl0_9
    | ~ spl0_14
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1650,f738,f252,f235,f503]) ).

fof(f1715,plain,
    ( c0_1(a263)
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_46
    | spl0_95 ),
    inference(resolution,[],[f1637,f655]) ).

fof(f1717,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_46
    | spl0_95
    | spl0_97 ),
    inference(forward_subsumption_resolution,[],[f1715,f665]) ).

fof(f1718,plain,
    ( ~ spl0_11
    | ~ spl0_12
    | ~ spl0_46
    | spl0_95
    | spl0_97 ),
    inference(avatar_contradiction_clause,[],[f1717]) ).

fof(f1738,plain,
    ( c3_1(a238)
    | c2_1(a238)
    | ~ spl0_1
    | ~ spl0_115 ),
    inference(resolution,[],[f209,f755]) ).

fof(f1743,plain,
    ( c2_1(a238)
    | ~ spl0_1
    | spl0_70
    | ~ spl0_115 ),
    inference(forward_subsumption_resolution,[],[f1738,f530]) ).

fof(f1747,plain,
    ( $false
    | ~ spl0_1
    | spl0_70
    | spl0_71
    | ~ spl0_115 ),
    inference(forward_subsumption_resolution,[],[f1743,f535]) ).

fof(f1748,plain,
    ( ~ spl0_1
    | spl0_70
    | spl0_71
    | ~ spl0_115 ),
    inference(avatar_contradiction_clause,[],[f1747]) ).

fof(f1755,definition,
    ( spl0_172
  <=> c3_1(a265) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f1757,plain,
    ( c3_1(a265)
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f1755]) ).

fof(f1781,plain,
    ( c1_1(a239)
    | ~ c0_1(a239)
    | ~ spl0_6
    | ~ spl0_116 ),
    inference(resolution,[],[f226,f760]) ).

fof(f1786,plain,
    ( ~ c0_1(a239)
    | ~ spl0_6
    | spl0_73
    | ~ spl0_116 ),
    inference(forward_subsumption_resolution,[],[f1781,f545]) ).

fof(f1789,plain,
    ( ~ spl0_168
    | ~ spl0_6
    | spl0_73
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1786,f758,f543,f225,f1472]) ).

fof(f1796,plain,
    ( ~ c0_1(a240)
    | ~ spl0_4
    | ~ spl0_151
    | ~ spl0_153 ),
    inference(forward_subsumption_resolution,[],[f1562,f935]) ).

fof(f1838,plain,
    ( ~ spl0_165
    | ~ spl0_4
    | ~ spl0_151
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1796,f943,f933,f218,f1383]) ).

fof(f1852,plain,
    ( c0_1(a282)
    | ~ spl0_8
    | ~ spl0_13
    | spl0_104 ),
    inference(resolution,[],[f1173,f700]) ).

fof(f1870,plain,
    ( spl0_105
    | ~ spl0_8
    | ~ spl0_13
    | spl0_104 ),
    inference(avatar_split_clause,[],[f1852,f698,f249,f232,f703]) ).

fof(f1883,definition,
    ( spl0_174
  <=> c1_1(a282) ),
    introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).

fof(f1885,plain,
    ( c1_1(a282)
    | ~ spl0_174 ),
    inference(avatar_component_clause,[],[f1883]) ).

fof(f1926,definition,
    ( spl0_177
  <=> c2_1(a269) ),
    introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).

fof(f2118,plain,
    ( ~ spl0_164
    | spl0_102
    | ~ spl0_12
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1090,f878,f245,f688,f1357]) ).

fof(f2173,plain,
    ( ~ c3_1(a243)
    | ~ c0_1(a243)
    | ~ spl0_4
    | ~ spl0_155 ),
    inference(resolution,[],[f955,f219]) ).

fof(f2183,plain,
    ( c2_1(a249)
    | ~ c0_1(a249)
    | ~ spl0_7
    | ~ spl0_124 ),
    inference(resolution,[],[f229,f800]) ).

fof(f2206,plain,
    ( c3_1(a294)
    | ~ c2_1(a294)
    | ~ spl0_12
    | ~ spl0_146 ),
    inference(resolution,[],[f246,f910]) ).

fof(f2211,plain,
    ( c3_1(a265)
    | ~ c2_1(a265)
    | ~ spl0_12
    | ~ spl0_133 ),
    inference(resolution,[],[f246,f845]) ).

fof(f2258,plain,
    ( c2_1(a282)
    | c0_1(a282)
    | ~ spl0_18
    | ~ spl0_144 ),
    inference(resolution,[],[f267,f900]) ).

fof(f2259,plain,
    ( c2_1(a281)
    | c0_1(a281)
    | ~ spl0_18
    | ~ spl0_142 ),
    inference(resolution,[],[f267,f890]) ).

fof(f2264,plain,
    ( c2_1(a239)
    | c0_1(a239)
    | ~ spl0_18
    | ~ spl0_116 ),
    inference(resolution,[],[f267,f760]) ).

fof(f2266,plain,
    ( c0_1(a239)
    | ~ spl0_18
    | spl0_72
    | ~ spl0_116 ),
    inference(forward_subsumption_resolution,[],[f2264,f540]) ).

fof(f2268,plain,
    ( c0_1(a281)
    | ~ spl0_18
    | spl0_103
    | ~ spl0_142 ),
    inference(forward_subsumption_resolution,[],[f2259,f695]) ).

fof(f2269,plain,
    ( c0_1(a282)
    | ~ spl0_18
    | spl0_104
    | ~ spl0_144 ),
    inference(forward_subsumption_resolution,[],[f2258,f700]) ).

fof(f2272,plain,
    ( spl0_169
    | ~ spl0_18
    | spl0_103
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f2268,f888,f693,f266,f1510]) ).

fof(f2273,plain,
    ( $false
    | ~ spl0_18
    | spl0_104
    | spl0_105
    | ~ spl0_144 ),
    inference(forward_subsumption_resolution,[],[f2269,f705]) ).

fof(f2274,plain,
    ( ~ spl0_18
    | spl0_104
    | spl0_105
    | ~ spl0_144 ),
    inference(avatar_contradiction_clause,[],[f2273]) ).

fof(f2275,plain,
    ( spl0_168
    | ~ spl0_18
    | spl0_72
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f2266,f758,f538,f266,f1472]) ).

fof(f2277,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_12
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[],[f281,f246]) ).

fof(f2281,plain,
    ( ~ c2_1(a240)
    | ~ spl0_12
    | ~ spl0_21
    | ~ spl0_153 ),
    inference(resolution,[],[f2277,f945]) ).

fof(f2283,plain,
    ( ~ c2_1(a294)
    | ~ spl0_12
    | ~ spl0_21
    | ~ spl0_146 ),
    inference(resolution,[],[f2277,f910]) ).

fof(f2288,plain,
    ( ~ c2_1(a265)
    | ~ spl0_12
    | ~ spl0_21
    | ~ spl0_133 ),
    inference(resolution,[],[f2277,f845]) ).

fof(f2299,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_21
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(forward_subsumption_resolution,[],[f2283,f905]) ).

fof(f2300,plain,
    ( ~ spl0_12
    | ~ spl0_21
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(avatar_contradiction_clause,[],[f2299]) ).

fof(f2303,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_21
    | ~ spl0_152
    | ~ spl0_153 ),
    inference(forward_subsumption_resolution,[],[f2281,f940]) ).

fof(f2304,plain,
    ( ~ spl0_12
    | ~ spl0_21
    | ~ spl0_152
    | ~ spl0_153 ),
    inference(avatar_contradiction_clause,[],[f2303]) ).

fof(f2313,plain,
    ( ~ spl0_132
    | ~ spl0_12
    | ~ spl0_21
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f2288,f843,f280,f245,f838]) ).

fof(f2327,plain,
    ( ~ spl0_132
    | spl0_172
    | ~ spl0_12
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f2211,f843,f245,f1755,f838]) ).

fof(f2365,plain,
    ( c2_1(a244)
    | c1_1(a244)
    | ~ spl0_16
    | ~ spl0_120 ),
    inference(resolution,[],[f260,f780]) ).

fof(f2366,plain,
    ( c2_1(a239)
    | c1_1(a239)
    | ~ spl0_16
    | ~ spl0_168 ),
    inference(resolution,[],[f260,f1474]) ).

fof(f2369,plain,
    ( c1_1(a239)
    | ~ spl0_16
    | spl0_72
    | ~ spl0_168 ),
    inference(forward_subsumption_resolution,[],[f2366,f540]) ).

fof(f2389,plain,
    ( ~ c3_1(a265)
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_133 ),
    inference(resolution,[],[f1033,f845]) ).

fof(f2395,plain,
    ( ~ spl0_172
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f2389,f843,f235,f218,f1755]) ).

fof(f2397,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_16
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[],[f292,f260]) ).

fof(f2401,plain,
    ( c2_1(a276)
    | ~ spl0_16
    | ~ spl0_24
    | ~ spl0_141 ),
    inference(resolution,[],[f2397,f885]) ).

fof(f2403,plain,
    ( c2_1(a271)
    | ~ spl0_16
    | ~ spl0_24
    | ~ spl0_137 ),
    inference(resolution,[],[f2397,f865]) ).

fof(f2405,plain,
    ( c2_1(a249)
    | ~ spl0_16
    | ~ spl0_24
    | ~ spl0_125 ),
    inference(resolution,[],[f2397,f805]) ).

fof(f2445,plain,
    ( c2_1(a249)
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_124 ),
    inference(resolution,[],[f1118,f800]) ).

fof(f2457,plain,
    ( spl0_82
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f2445,f798,f239,f211,f588]) ).

fof(f2570,plain,
    ( spl0_78
    | spl0_77
    | ~ spl0_16
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f2365,f778,f259,f563,f568]) ).

fof(f2710,plain,
    ( c2_1(a249)
    | ~ spl0_7
    | ~ spl0_124
    | ~ spl0_125 ),
    inference(forward_subsumption_resolution,[],[f2183,f805]) ).

fof(f2713,plain,
    ( spl0_177
    | ~ spl0_10
    | spl0_99
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1074,f848,f673,f239,f1926]) ).

fof(f2715,plain,
    ( spl0_7
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f1127,f256,f239,f218,f228]) ).

fof(f2718,plain,
    ( spl0_174
    | ~ spl0_10
    | spl0_104
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1205,f898,f698,f239,f1883]) ).

fof(f2719,plain,
    ( spl0_82
    | ~ spl0_7
    | ~ spl0_124
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f2710,f803,f798,f228,f588]) ).

fof(f2745,plain,
    ( c2_1(a269)
    | ~ spl0_16
    | spl0_99
    | ~ spl0_135 ),
    inference(forward_subsumption_resolution,[],[f1161,f675]) ).

fof(f2759,plain,
    ( spl0_177
    | ~ spl0_16
    | spl0_99
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f2745,f853,f673,f259,f1926]) ).

fof(f2786,plain,
    ( c0_1(a240)
    | ~ c3_1(a240)
    | ~ spl0_9
    | ~ spl0_153 ),
    inference(resolution,[],[f236,f945]) ).

fof(f2791,plain,
    ( c0_1(a265)
    | ~ c3_1(a265)
    | ~ spl0_9
    | ~ spl0_133 ),
    inference(resolution,[],[f236,f845]) ).

fof(f2835,plain,
    ( c2_1(a259)
    | c0_1(a259)
    | ~ spl0_13
    | ~ spl0_131 ),
    inference(resolution,[],[f250,f835]) ).

fof(f2843,plain,
    ( c0_1(a259)
    | ~ spl0_13
    | spl0_94
    | ~ spl0_131 ),
    inference(forward_subsumption_resolution,[],[f2835,f650]) ).

fof(f2848,plain,
    ( spl0_163
    | ~ spl0_13
    | spl0_94
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f2843,f833,f648,f249,f1346]) ).

fof(f2887,plain,
    ( c2_1(a282)
    | c0_1(a282)
    | ~ spl0_13
    | ~ spl0_174 ),
    inference(resolution,[],[f1885,f250]) ).

fof(f2892,plain,
    ( c0_1(a282)
    | ~ spl0_13
    | spl0_104
    | ~ spl0_174 ),
    inference(forward_subsumption_resolution,[],[f2887,f700]) ).

fof(f2898,plain,
    ( c1_1(a246)
    | ~ c2_1(a246)
    | ~ spl0_23
    | ~ spl0_157 ),
    inference(resolution,[],[f289,f965]) ).

fof(f2905,plain,
    ( c1_1(a269)
    | ~ c2_1(a269)
    | ~ spl0_23
    | ~ spl0_134 ),
    inference(resolution,[],[f289,f850]) ).

fof(f2907,plain,
    ( c1_1(a257)
    | ~ c2_1(a257)
    | ~ spl0_23
    | ~ spl0_129 ),
    inference(resolution,[],[f289,f825]) ).

fof(f2910,plain,
    ( c1_1(a245)
    | ~ c2_1(a245)
    | ~ spl0_23
    | ~ spl0_161 ),
    inference(resolution,[],[f289,f1301]) ).

fof(f2917,plain,
    ( ~ c2_1(a245)
    | ~ spl0_23
    | spl0_79
    | ~ spl0_161 ),
    inference(forward_subsumption_resolution,[],[f2910,f575]) ).

fof(f2920,plain,
    ( ~ c2_1(a269)
    | ~ spl0_23
    | spl0_99
    | ~ spl0_134 ),
    inference(forward_subsumption_resolution,[],[f2905,f675]) ).

fof(f2924,plain,
    ( ~ c2_1(a246)
    | ~ spl0_23
    | ~ spl0_157
    | spl0_160 ),
    inference(forward_subsumption_resolution,[],[f2898,f1079]) ).

fof(f2927,plain,
    ( $false
    | ~ spl0_23
    | spl0_79
    | ~ spl0_121
    | ~ spl0_161 ),
    inference(forward_subsumption_resolution,[],[f2917,f785]) ).

fof(f2928,plain,
    ( ~ spl0_23
    | spl0_79
    | ~ spl0_121
    | ~ spl0_161 ),
    inference(avatar_contradiction_clause,[],[f2927]) ).

fof(f2931,plain,
    ( ~ spl0_177
    | ~ spl0_23
    | spl0_99
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2920,f848,f673,f288,f1926]) ).

fof(f2936,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_157
    | ~ spl0_158
    | spl0_160 ),
    inference(forward_subsumption_resolution,[],[f2924,f970]) ).

fof(f2937,plain,
    ( ~ spl0_23
    | ~ spl0_157
    | ~ spl0_158
    | spl0_160 ),
    inference(avatar_contradiction_clause,[],[f2936]) ).

fof(f2939,plain,
    ( ~ c0_1(a246)
    | ~ spl0_4
    | ~ spl0_157
    | ~ spl0_160 ),
    inference(forward_subsumption_resolution,[],[f1260,f965]) ).

fof(f2941,plain,
    ( spl0_161
    | ~ spl0_5
    | spl0_79
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1023,f788,f573,f222,f1299]) ).

fof(f2945,plain,
    ( c1_1(a246)
    | ~ spl0_23
    | ~ spl0_157
    | ~ spl0_158 ),
    inference(forward_subsumption_resolution,[],[f2898,f970]) ).

fof(f2949,plain,
    ( c1_1(a257)
    | ~ spl0_23
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(forward_subsumption_resolution,[],[f2907,f830]) ).

fof(f2950,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_157
    | ~ spl0_159
    | ~ spl0_160 ),
    inference(forward_subsumption_resolution,[],[f2939,f975]) ).

fof(f2951,plain,
    ( ~ spl0_4
    | ~ spl0_157
    | ~ spl0_159
    | ~ spl0_160 ),
    inference(avatar_contradiction_clause,[],[f2950]) ).

fof(f2952,plain,
    ( spl0_160
    | ~ spl0_23
    | ~ spl0_157
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f2945,f968,f963,f288,f1078]) ).

fof(f2954,plain,
    ( spl0_89
    | ~ spl0_23
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f2949,f828,f823,f288,f623]) ).

fof(f2956,plain,
    ( c2_1(a281)
    | c0_1(a281)
    | ~ spl0_13
    | ~ spl0_143 ),
    inference(resolution,[],[f895,f250]) ).

fof(f2963,plain,
    ( c0_1(a240)
    | ~ c2_1(a240)
    | ~ spl0_26
    | ~ spl0_151 ),
    inference(resolution,[],[f300,f935]) ).

fof(f2970,plain,
    ( c0_1(a265)
    | ~ c2_1(a265)
    | ~ spl0_26
    | ~ spl0_172 ),
    inference(resolution,[],[f300,f1757]) ).

fof(f2974,plain,
    ( c0_1(a241)
    | ~ c2_1(a241)
    | ~ spl0_26
    | ~ spl0_117 ),
    inference(resolution,[],[f300,f765]) ).

fof(f2980,plain,
    ( ~ c2_1(a241)
    | ~ spl0_26
    | spl0_74
    | ~ spl0_117 ),
    inference(forward_subsumption_resolution,[],[f2974,f550]) ).

fof(f2983,plain,
    ( ~ c2_1(a265)
    | ~ spl0_26
    | spl0_98
    | ~ spl0_172 ),
    inference(forward_subsumption_resolution,[],[f2970,f670]) ).

fof(f2987,plain,
    ( ~ c2_1(a240)
    | ~ spl0_26
    | ~ spl0_151
    | spl0_165 ),
    inference(forward_subsumption_resolution,[],[f2963,f1385]) ).

fof(f2990,plain,
    ( $false
    | ~ spl0_26
    | spl0_74
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(forward_subsumption_resolution,[],[f2980,f770]) ).

fof(f2991,plain,
    ( ~ spl0_26
    | spl0_74
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(avatar_contradiction_clause,[],[f2990]) ).

fof(f2994,plain,
    ( $false
    | ~ spl0_26
    | spl0_98
    | ~ spl0_132
    | ~ spl0_172 ),
    inference(forward_subsumption_resolution,[],[f2983,f840]) ).

fof(f2995,plain,
    ( ~ spl0_26
    | spl0_98
    | ~ spl0_132
    | ~ spl0_172 ),
    inference(avatar_contradiction_clause,[],[f2994]) ).

fof(f3001,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_151
    | ~ spl0_152
    | spl0_165 ),
    inference(forward_subsumption_resolution,[],[f2987,f940]) ).

fof(f3002,plain,
    ( ~ spl0_26
    | ~ spl0_151
    | ~ spl0_152
    | spl0_165 ),
    inference(avatar_contradiction_clause,[],[f3001]) ).

fof(f3031,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1) )
    | ~ spl0_12
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[],[f320,f246]) ).

fof(f3039,plain,
    ( c3_1(a251)
    | ~ spl0_12
    | ~ spl0_31
    | ~ spl0_126 ),
    inference(resolution,[],[f3031,f810]) ).

fof(f3044,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_31
    | spl0_83
    | ~ spl0_126 ),
    inference(forward_subsumption_resolution,[],[f3039,f595]) ).

fof(f3045,plain,
    ( ~ spl0_12
    | ~ spl0_31
    | spl0_83
    | ~ spl0_126 ),
    inference(avatar_contradiction_clause,[],[f3044]) ).

fof(f3048,plain,
    ( ~ spl0_145
    | spl0_106
    | ~ spl0_12
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f2206,f908,f245,f708,f903]) ).

fof(f3049,plain,
    ( c0_1(a240)
    | ~ spl0_9
    | ~ spl0_151
    | ~ spl0_153 ),
    inference(forward_subsumption_resolution,[],[f2786,f935]) ).

fof(f3051,plain,
    ( ~ c3_1(a265)
    | ~ spl0_9
    | spl0_98
    | ~ spl0_133 ),
    inference(forward_subsumption_resolution,[],[f2791,f670]) ).

fof(f3065,plain,
    ( spl0_165
    | ~ spl0_9
    | ~ spl0_151
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f3049,f943,f933,f235,f1383]) ).

fof(f3067,plain,
    ( $false
    | ~ spl0_9
    | spl0_98
    | ~ spl0_133
    | ~ spl0_172 ),
    inference(forward_subsumption_resolution,[],[f3051,f1757]) ).

fof(f3068,plain,
    ( ~ spl0_9
    | spl0_98
    | ~ spl0_133
    | ~ spl0_172 ),
    inference(avatar_contradiction_clause,[],[f3067]) ).

fof(f3080,plain,
    ( ~ c3_1(a243)
    | ~ spl0_4
    | ~ spl0_155
    | ~ spl0_156 ),
    inference(forward_subsumption_resolution,[],[f2173,f960]) ).

fof(f3119,plain,
    ( spl0_73
    | ~ spl0_16
    | spl0_72
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f2369,f1472,f538,f259,f543]) ).

fof(f3120,plain,
    ( spl0_164
    | ~ spl0_16
    | ~ spl0_24
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2401,f883,f291,f259,f1357]) ).

fof(f3122,plain,
    ( spl0_100
    | ~ spl0_16
    | ~ spl0_24
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f2403,f863,f291,f259,f678]) ).

fof(f3123,plain,
    ( spl0_82
    | ~ spl0_16
    | ~ spl0_24
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f2405,f803,f291,f259,f588]) ).

fof(f3127,plain,
    ( spl0_105
    | ~ spl0_13
    | spl0_104
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f2892,f1883,f698,f249,f703]) ).

fof(f3128,plain,
    ( c2_1(a281)
    | ~ spl0_13
    | ~ spl0_143
    | spl0_169 ),
    inference(forward_subsumption_resolution,[],[f2956,f1512]) ).

fof(f3129,plain,
    ( ~ spl0_154
    | ~ spl0_4
    | ~ spl0_155
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f3080,f958,f953,f218,f948]) ).

fof(f3133,plain,
    ( spl0_103
    | ~ spl0_13
    | ~ spl0_143
    | spl0_169 ),
    inference(avatar_split_clause,[],[f3128,f1510,f893,f249,f693]) ).

fof(f3147,plain,
    ( c2_1(a259)
    | ~ spl0_16
    | ~ spl0_24
    | ~ spl0_163 ),
    inference(resolution,[],[f2397,f1348]) ).

fof(f3156,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_24
    | spl0_94
    | ~ spl0_163 ),
    inference(forward_subsumption_resolution,[],[f3147,f650]) ).

fof(f3157,plain,
    ( ~ spl0_16
    | ~ spl0_24
    | spl0_94
    | ~ spl0_163 ),
    inference(avatar_contradiction_clause,[],[f3156]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f220]) ).

cnf(s2,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f230]) ).

cnf(s3,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_8
    | spl0_9 ),
    inference(sat_conversion,[],[f237]) ).

cnf(s4,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_11
    | spl0_12 ),
    inference(sat_conversion,[],[f247]) ).

cnf(s5,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_13
    | spl0_14 ),
    inference(sat_conversion,[],[f254]) ).

cnf(s6,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_15
    | spl0_16 ),
    inference(sat_conversion,[],[f261]) ).

cnf(s7,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_17
    | spl0_18 ),
    inference(sat_conversion,[],[f268]) ).

cnf(s8,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_8
    | spl0_14 ),
    inference(sat_conversion,[],[f269]) ).

cnf(s10,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_20
    | spl0_21 ),
    inference(sat_conversion,[],[f282]) ).

cnf(s11,plain,
    ( ~ spl0_3
    | spl0_22
    | spl0_23
    | spl0_24 ),
    inference(sat_conversion,[],[f293]) ).

cnf(s12,plain,
    ( ~ spl0_3
    | spl0_24
    | spl0_25
    | spl0_26 ),
    inference(sat_conversion,[],[f301]) ).

cnf(s14,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_11
    | spl0_27 ),
    inference(sat_conversion,[],[f313]) ).

cnf(s16,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_31
    | spl0_32 ),
    inference(sat_conversion,[],[f326]) ).

cnf(s18,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_10
    | spl0_33 ),
    inference(sat_conversion,[],[f332]) ).

cnf(s20,plain,
    ( ~ spl0_3
    | spl0_14
    | spl0_26
    | spl0_36 ),
    inference(sat_conversion,[],[f345]) ).

cnf(s21,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_18
    | spl0_37 ),
    inference(sat_conversion,[],[f350]) ).

cnf(s22,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_13
    | spl0_38 ),
    inference(sat_conversion,[],[f355]) ).

cnf(s24,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_21
    | spl0_34 ),
    inference(sat_conversion,[],[f364]) ).

cnf(s25,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_8
    | spl0_41 ),
    inference(sat_conversion,[],[f369]) ).

cnf(s27,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_11
    | spl0_36 ),
    inference(sat_conversion,[],[f375]) ).

cnf(s28,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_16
    | spl0_43 ),
    inference(sat_conversion,[],[f380]) ).

cnf(s29,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_15
    | spl0_44 ),
    inference(sat_conversion,[],[f385]) ).

cnf(s30,plain,
    ( ~ spl0_3
    | spl0_13
    | spl0_14
    | spl0_45 ),
    inference(sat_conversion,[],[f390]) ).

cnf(s34,plain,
    ( ~ spl0_3
    | spl0_17
    | spl0_18
    | spl0_20 ),
    inference(sat_conversion,[],[f401]) ).

cnf(s35,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_46
    | spl0_48 ),
    inference(sat_conversion,[],[f406]) ).

cnf(s38,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_17
    | spl0_51 ),
    inference(sat_conversion,[],[f421]) ).

cnf(s40,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_34 ),
    inference(sat_conversion,[],[f431]) ).

cnf(s43,plain,
    ( ~ spl0_3
    | spl0_23
    | spl0_30
    | spl0_32 ),
    inference(sat_conversion,[],[f441]) ).

cnf(s44,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_41
    | spl0_56 ),
    inference(sat_conversion,[],[f446]) ).

cnf(s45,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_30
    | spl0_36 ),
    inference(sat_conversion,[],[f447]) ).

cnf(s46,plain,
    ( ~ spl0_3
    | spl0_20
    | spl0_26
    | spl0_53 ),
    inference(sat_conversion,[],[f448]) ).

cnf(s47,plain,
    ( ~ spl0_3
    | spl0_26
    | spl0_53
    | spl0_57 ),
    inference(sat_conversion,[],[f453]) ).

cnf(s48,plain,
    ( ~ spl0_3
    | spl0_26
    | spl0_54
    | spl0_58 ),
    inference(sat_conversion,[],[f458]) ).

cnf(s51,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_38
    | spl0_54 ),
    inference(sat_conversion,[],[f469]) ).

cnf(s52,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_25
    | spl0_34 ),
    inference(sat_conversion,[],[f470]) ).

cnf(s54,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_22
    | spl0_59 ),
    inference(sat_conversion,[],[f472]) ).

cnf(s56,plain,
    ( ~ spl0_3
    | spl0_16
    | spl0_20
    | spl0_37 ),
    inference(sat_conversion,[],[f478]) ).

cnf(s64,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_33 ),
    inference(sat_conversion,[],[f492]) ).

cnf(s69,plain,
    ( ~ spl0_51
    | ~ spl0_64 ),
    inference(sat_conversion,[],[f501]) ).

cnf(s70,plain,
    ( ~ spl0_51
    | ~ spl0_65 ),
    inference(sat_conversion,[],[f506]) ).

cnf(s75,plain,
    ( ~ spl0_41
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f531]) ).

cnf(s76,plain,
    ( ~ spl0_41
    | ~ spl0_71 ),
    inference(sat_conversion,[],[f536]) ).

cnf(s77,plain,
    ( ~ spl0_34
    | ~ spl0_72 ),
    inference(sat_conversion,[],[f541]) ).

cnf(s78,plain,
    ( ~ spl0_34
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f546]) ).

cnf(s79,plain,
    ( ~ spl0_30
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f551]) ).

cnf(s82,plain,
    ( ~ spl0_22
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f566]) ).

cnf(s83,plain,
    ( ~ spl0_22
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f571]) ).

cnf(s84,plain,
    ( ~ spl0_39
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f576]) ).

cnf(s87,plain,
    ( ~ spl0_36
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f591]) ).

cnf(s88,plain,
    ( ~ spl0_20
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f596]) ).

cnf(s90,plain,
    ( ~ spl0_56
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f606]) ).

cnf(s91,plain,
    ( ~ spl0_56
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f611]) ).

cnf(s92,plain,
    ( ~ spl0_60
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f616]) ).

cnf(s93,plain,
    ( ~ spl0_60
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f621]) ).

cnf(s94,plain,
    ( ~ spl0_45
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f626]) ).

cnf(s95,plain,
    ( ~ spl0_38
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f631]) ).

cnf(s96,plain,
    ( ~ spl0_38
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f636]) ).

cnf(s97,plain,
    ( ~ spl0_38
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f641]) ).

cnf(s98,plain,
    ( ~ spl0_37
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f646]) ).

cnf(s99,plain,
    ( ~ spl0_37
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f651]) ).

cnf(s100,plain,
    ( ~ spl0_58
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f656]) ).

cnf(s102,plain,
    ( ~ spl0_58
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f666]) ).

cnf(s103,plain,
    ( ~ spl0_43
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f671]) ).

cnf(s104,plain,
    ( ~ spl0_54
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f676]) ).

cnf(s105,plain,
    ( ~ spl0_27
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f681]) ).

cnf(s106,plain,
    ( ~ spl0_44
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f686]) ).

cnf(s107,plain,
    ( ~ spl0_59
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f691]) ).

cnf(s108,plain,
    ( ~ spl0_57
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f696]) ).

cnf(s109,plain,
    ( ~ spl0_53
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f701]) ).

cnf(s110,plain,
    ( ~ spl0_53
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f706]) ).

cnf(s111,plain,
    ( ~ spl0_32
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f711]) ).

cnf(s117,plain,
    ( ~ spl0_51
    | spl0_112 ),
    inference(sat_conversion,[],[f741]) ).

cnf(s120,plain,
    ( ~ spl0_41
    | spl0_115 ),
    inference(sat_conversion,[],[f756]) ).

cnf(s121,plain,
    ( ~ spl0_34
    | spl0_116 ),
    inference(sat_conversion,[],[f761]) ).

cnf(s122,plain,
    ( ~ spl0_30
    | spl0_117 ),
    inference(sat_conversion,[],[f766]) ).

cnf(s123,plain,
    ( ~ spl0_30
    | spl0_118 ),
    inference(sat_conversion,[],[f771]) ).

cnf(s125,plain,
    ( ~ spl0_22
    | spl0_120 ),
    inference(sat_conversion,[],[f781]) ).

cnf(s126,plain,
    ( ~ spl0_39
    | spl0_121 ),
    inference(sat_conversion,[],[f786]) ).

cnf(s127,plain,
    ( ~ spl0_39
    | spl0_122 ),
    inference(sat_conversion,[],[f791]) ).

cnf(s129,plain,
    ( ~ spl0_36
    | spl0_124 ),
    inference(sat_conversion,[],[f801]) ).

cnf(s130,plain,
    ( ~ spl0_36
    | spl0_125 ),
    inference(sat_conversion,[],[f806]) ).

cnf(s131,plain,
    ( ~ spl0_20
    | spl0_126 ),
    inference(sat_conversion,[],[f811]) ).

cnf(s132,plain,
    ( ~ spl0_56
    | spl0_127 ),
    inference(sat_conversion,[],[f816]) ).

cnf(s133,plain,
    ( ~ spl0_60
    | spl0_128 ),
    inference(sat_conversion,[],[f821]) ).

cnf(s134,plain,
    ( ~ spl0_45
    | spl0_129 ),
    inference(sat_conversion,[],[f826]) ).

cnf(s135,plain,
    ( ~ spl0_45
    | spl0_130 ),
    inference(sat_conversion,[],[f831]) ).

cnf(s136,plain,
    ( ~ spl0_37
    | spl0_131 ),
    inference(sat_conversion,[],[f836]) ).

cnf(s137,plain,
    ( ~ spl0_43
    | spl0_132 ),
    inference(sat_conversion,[],[f841]) ).

cnf(s138,plain,
    ( ~ spl0_43
    | spl0_133 ),
    inference(sat_conversion,[],[f846]) ).

cnf(s139,plain,
    ( ~ spl0_54
    | spl0_134 ),
    inference(sat_conversion,[],[f851]) ).

cnf(s140,plain,
    ( ~ spl0_54
    | spl0_135 ),
    inference(sat_conversion,[],[f856]) ).

cnf(s142,plain,
    ( ~ spl0_27
    | spl0_137 ),
    inference(sat_conversion,[],[f866]) ).

cnf(s144,plain,
    ( ~ spl0_44
    | spl0_139 ),
    inference(sat_conversion,[],[f876]) ).

cnf(s145,plain,
    ( ~ spl0_59
    | spl0_140 ),
    inference(sat_conversion,[],[f881]) ).

cnf(s146,plain,
    ( ~ spl0_59
    | spl0_141 ),
    inference(sat_conversion,[],[f886]) ).

cnf(s147,plain,
    ( ~ spl0_57
    | spl0_142 ),
    inference(sat_conversion,[],[f891]) ).

cnf(s148,plain,
    ( ~ spl0_57
    | spl0_143 ),
    inference(sat_conversion,[],[f896]) ).

cnf(s149,plain,
    ( ~ spl0_53
    | spl0_144 ),
    inference(sat_conversion,[],[f901]) ).

cnf(s150,plain,
    ( ~ spl0_32
    | spl0_145 ),
    inference(sat_conversion,[],[f906]) ).

cnf(s151,plain,
    ( ~ spl0_32
    | spl0_146 ),
    inference(sat_conversion,[],[f911]) ).

cnf(s156,plain,
    ( ~ spl0_33
    | spl0_151 ),
    inference(sat_conversion,[],[f936]) ).

cnf(s157,plain,
    ( ~ spl0_33
    | spl0_152 ),
    inference(sat_conversion,[],[f941]) ).

cnf(s158,plain,
    ( ~ spl0_33
    | spl0_153 ),
    inference(sat_conversion,[],[f946]) ).

cnf(s159,plain,
    ( ~ spl0_48
    | spl0_154 ),
    inference(sat_conversion,[],[f951]) ).

cnf(s160,plain,
    ( ~ spl0_48
    | spl0_155 ),
    inference(sat_conversion,[],[f956]) ).

cnf(s161,plain,
    ( ~ spl0_48
    | spl0_156 ),
    inference(sat_conversion,[],[f961]) ).

cnf(s162,plain,
    ( ~ spl0_25
    | spl0_157 ),
    inference(sat_conversion,[],[f966]) ).

cnf(s163,plain,
    ( ~ spl0_25
    | spl0_158 ),
    inference(sat_conversion,[],[f971]) ).

cnf(s164,plain,
    ( ~ spl0_25
    | spl0_159 ),
    inference(sat_conversion,[],[f976]) ).

cnf(s166,plain,
    ( spl0_53
    | spl0_57
    | spl0_60 ),
    inference(sat_conversion,[],[f978]) ).

cnf(s171,plain,
    ( spl0_22
    | spl0_38
    | spl0_39 ),
    inference(sat_conversion,[],[f983]) ).

cnf(s188,plain,
    ( spl0_3
    | ~ spl0_60 ),
    inference(sat_conversion,[],[f1000]) ).

cnf(s198,plain,
    ( spl0_3
    | ~ spl0_57 ),
    inference(sat_conversion,[],[f1010]) ).

cnf(s199,plain,
    ( spl0_3
    | ~ spl0_53 ),
    inference(sat_conversion,[],[f1011]) ).

cnf(s212,plain,
    ( ~ spl0_5
    | spl0_85
    | spl0_86
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f1065]) ).

cnf(s213,plain,
    ( ~ spl0_10
    | spl0_72
    | spl0_73
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f1072]) ).

cnf(s215,plain,
    ( ~ spl0_14
    | spl0_87
    | spl0_88
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f1117]) ).

cnf(s220,plain,
    ( ~ spl0_12
    | ~ spl0_13
    | spl0_87
    | spl0_88
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f1167]) ).

cnf(s226,plain,
    ( ~ spl0_4
    | ~ spl0_6
    | ~ spl0_134
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f1215]) ).

cnf(s227,plain,
    ( ~ spl0_4
    | ~ spl0_6
    | ~ spl0_157
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f1217]) ).

cnf(s228,plain,
    ( ~ spl0_5
    | ~ spl0_11
    | spl0_70
    | spl0_71
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f1219]) ).

cnf(s233,plain,
    ( ~ spl0_8
    | ~ spl0_11
    | spl0_17 ),
    inference(sat_conversion,[],[f1258]) ).

cnf(s234,plain,
    ( ~ spl0_8
    | ~ spl0_14
    | spl0_17 ),
    inference(sat_conversion,[],[f1274]) ).

cnf(s244,plain,
    ( ~ spl0_14
    | spl0_93
    | ~ spl0_131
    | spl0_163 ),
    inference(sat_conversion,[],[f1349]) ).

cnf(s245,plain,
    ( ~ spl0_11
    | ~ spl0_12
    | spl0_102
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f1351]) ).

cnf(s247,plain,
    ( ~ spl0_11
    | spl0_93
    | spl0_94
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f1354]) ).

cnf(s266,plain,
    ( ~ spl0_5
    | ~ spl0_11
    | ~ spl0_12
    | spl0_101
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f1421]) ).

cnf(s286,plain,
    ( ~ spl0_4
    | ~ spl0_6
    | ~ spl0_116
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f1482]) ).

cnf(s287,plain,
    ( ~ spl0_7
    | spl0_72
    | ~ spl0_116
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f1483]) ).

cnf(s290,plain,
    ( ~ spl0_10
    | ~ spl0_14
    | ~ spl0_15
    | spl0_17 ),
    inference(sat_conversion,[],[f1502]) ).

cnf(s291,plain,
    ( ~ spl0_4
    | ~ spl0_6
    | ~ spl0_18
    | spl0_104
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f1505]) ).

cnf(s294,plain,
    ( ~ spl0_4
    | ~ spl0_142
    | ~ spl0_143
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f1514]) ).

cnf(s310,plain,
    ( ~ spl0_11
    | ~ spl0_12
    | ~ spl0_15
    | spl0_90
    | spl0_91 ),
    inference(sat_conversion,[],[f1576]) ).

cnf(s314,plain,
    ( ~ spl0_8
    | spl0_72
    | spl0_73
    | spl0_168 ),
    inference(sat_conversion,[],[f1595]) ).

cnf(s319,plain,
    ( ~ spl0_11
    | ~ spl0_12
    | spl0_106
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f1607]) ).

cnf(s327,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | spl0_78
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f1627]) ).

cnf(s328,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | spl0_79
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f1633]) ).

cnf(s340,plain,
    ( ~ spl0_9
    | ~ spl0_14
    | ~ spl0_153
    | spl0_165 ),
    inference(sat_conversion,[],[f1659]) ).

cnf(s343,plain,
    ( ~ spl0_2
    | ~ spl0_11
    | spl0_64
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f1661]) ).

cnf(s345,plain,
    ( ~ spl0_17
    | spl0_90
    | spl0_91
    | spl0_92 ),
    inference(sat_conversion,[],[f1670]) ).

cnf(s351,plain,
    ( ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_98
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f1692]) ).

cnf(s359,plain,
    ( ~ spl0_2
    | ~ spl0_11
    | ~ spl0_16
    | spl0_71
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f1703]) ).

cnf(s364,plain,
    ( ~ spl0_9
    | ~ spl0_14
    | spl0_65
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f1707]) ).

cnf(s365,plain,
    ( ~ spl0_11
    | ~ spl0_12
    | ~ spl0_46
    | spl0_95
    | spl0_97 ),
    inference(sat_conversion,[],[f1718]) ).

cnf(s372,plain,
    ( ~ spl0_1
    | spl0_70
    | spl0_71
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f1748]) ).

cnf(s386,plain,
    ( ~ spl0_6
    | spl0_73
    | ~ spl0_116
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f1789]) ).

cnf(s407,plain,
    ( ~ spl0_4
    | ~ spl0_151
    | ~ spl0_153
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1838]) ).

cnf(s430,plain,
    ( ~ spl0_8
    | ~ spl0_13
    | spl0_104
    | spl0_105 ),
    inference(sat_conversion,[],[f1870]) ).

cnf(s525,plain,
    ( ~ spl0_12
    | spl0_102
    | ~ spl0_140
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f2118]) ).

cnf(s555,plain,
    ( ~ spl0_18
    | spl0_103
    | ~ spl0_142
    | spl0_169 ),
    inference(sat_conversion,[],[f2272]) ).

cnf(s556,plain,
    ( ~ spl0_18
    | spl0_104
    | spl0_105
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f2274]) ).

cnf(s557,plain,
    ( ~ spl0_18
    | spl0_72
    | ~ spl0_116
    | spl0_168 ),
    inference(sat_conversion,[],[f2275]) ).

cnf(s562,plain,
    ( ~ spl0_12
    | ~ spl0_21
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f2300]) ).

cnf(s564,plain,
    ( ~ spl0_12
    | ~ spl0_21
    | ~ spl0_152
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f2304]) ).

cnf(s572,plain,
    ( ~ spl0_12
    | ~ spl0_21
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f2313]) ).

cnf(s578,plain,
    ( ~ spl0_12
    | ~ spl0_132
    | ~ spl0_133
    | spl0_172 ),
    inference(sat_conversion,[],[f2327]) ).

cnf(s600,plain,
    ( ~ spl0_4
    | ~ spl0_9
    | ~ spl0_133
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f2395]) ).

cnf(s616,plain,
    ( ~ spl0_2
    | ~ spl0_10
    | spl0_82
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f2457]) ).

cnf(s658,plain,
    ( ~ spl0_16
    | spl0_77
    | spl0_78
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f2570]) ).

cnf(s702,plain,
    ( ~ spl0_10
    | spl0_99
    | ~ spl0_134
    | spl0_177 ),
    inference(sat_conversion,[],[f2713]) ).

cnf(s704,plain,
    ( ~ spl0_4
    | spl0_7
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(sat_conversion,[],[f2715]) ).

cnf(s706,plain,
    ( ~ spl0_10
    | spl0_104
    | ~ spl0_144
    | spl0_174 ),
    inference(sat_conversion,[],[f2718]) ).

cnf(s712,plain,
    ( ~ spl0_7
    | spl0_82
    | ~ spl0_124
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f2719]) ).

cnf(s738,plain,
    ( ~ spl0_16
    | spl0_99
    | ~ spl0_135
    | spl0_177 ),
    inference(sat_conversion,[],[f2759]) ).

cnf(s763,plain,
    ( ~ spl0_13
    | spl0_94
    | ~ spl0_131
    | spl0_163 ),
    inference(sat_conversion,[],[f2848]) ).

cnf(s770,plain,
    ( ~ spl0_23
    | spl0_79
    | ~ spl0_121
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f2928]) ).

cnf(s772,plain,
    ( ~ spl0_23
    | spl0_99
    | ~ spl0_134
    | ~ spl0_177 ),
    inference(sat_conversion,[],[f2931]) ).

cnf(s775,plain,
    ( ~ spl0_23
    | ~ spl0_157
    | ~ spl0_158
    | spl0_160 ),
    inference(sat_conversion,[],[f2937]) ).

cnf(s778,plain,
    ( ~ spl0_5
    | spl0_79
    | ~ spl0_122
    | spl0_161 ),
    inference(sat_conversion,[],[f2941]) ).

cnf(s782,plain,
    ( ~ spl0_4
    | ~ spl0_157
    | ~ spl0_159
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f2951]) ).

cnf(s787,plain,
    ( ~ spl0_23
    | ~ spl0_157
    | ~ spl0_158
    | spl0_160 ),
    inference(sat_conversion,[],[f2952]) ).

cnf(s789,plain,
    ( ~ spl0_23
    | spl0_89
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f2954]) ).

cnf(s792,plain,
    ( ~ spl0_26
    | spl0_74
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f2991]) ).

cnf(s794,plain,
    ( ~ spl0_26
    | spl0_98
    | ~ spl0_132
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f2995]) ).

cnf(s798,plain,
    ( ~ spl0_26
    | ~ spl0_151
    | ~ spl0_152
    | spl0_165 ),
    inference(sat_conversion,[],[f3002]) ).

cnf(s805,plain,
    ( ~ spl0_12
    | ~ spl0_31
    | spl0_83
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f3045]) ).

cnf(s808,plain,
    ( ~ spl0_12
    | spl0_106
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f3048]) ).

cnf(s814,plain,
    ( ~ spl0_9
    | ~ spl0_151
    | ~ spl0_153
    | spl0_165 ),
    inference(sat_conversion,[],[f3065]) ).

cnf(s816,plain,
    ( ~ spl0_9
    | spl0_98
    | ~ spl0_133
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f3068]) ).

cnf(s856,plain,
    ( ~ spl0_16
    | spl0_72
    | spl0_73
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f3119]) ).

cnf(s858,plain,
    ( ~ spl0_16
    | ~ spl0_24
    | ~ spl0_141
    | spl0_164 ),
    inference(sat_conversion,[],[f3120]) ).

cnf(s860,plain,
    ( ~ spl0_16
    | ~ spl0_24
    | spl0_100
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f3122]) ).

cnf(s862,plain,
    ( ~ spl0_16
    | ~ spl0_24
    | spl0_82
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f3123]) ).

cnf(s870,plain,
    ( ~ spl0_13
    | spl0_104
    | spl0_105
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f3127]) ).

cnf(s874,plain,
    ( ~ spl0_4
    | ~ spl0_154
    | ~ spl0_155
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f3129]) ).

cnf(s893,plain,
    ( ~ spl0_13
    | spl0_103
    | ~ spl0_143
    | spl0_169 ),
    inference(sat_conversion,[],[f3133]) ).

cnf(s904,plain,
    ( ~ spl0_16
    | ~ spl0_24
    | spl0_94
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f3157]) ).

cnf(s908,plain,
    spl0_3,
    inference(rat,[],[s166,s188,s198,s199]) ).

cnf(s909,plain,
    ( ~ spl0_36
    | ~ spl0_7 ),
    inference(rat,[],[s712,s87,s129,s130]) ).

cnf(s910,plain,
    ( ~ spl0_12
    | ~ spl0_11
    | spl0_6
    | spl0_9
    | ~ spl0_152
    | ~ spl0_153 ),
    inference(rat,[],[s319,s111,s151,s16,s805,s88,s131,s10,s564,s908]) ).

cnf(s911,plain,
    ( ~ spl0_37
    | ~ spl0_11 ),
    inference(rat,[],[s247,s98,s99,s136]) ).

cnf(s913,plain,
    ( ~ spl0_22
    | ~ spl0_16 ),
    inference(rat,[],[s658,s82,s83,s125]) ).

cnf(s914,plain,
    ( ~ spl0_60
    | ~ spl0_14 ),
    inference(rat,[],[s215,s92,s93,s133]) ).

cnf(s915,plain,
    ( ~ spl0_48
    | ~ spl0_4 ),
    inference(rat,[],[s874,s159,s160,s161]) ).

cnf(s916,plain,
    ( ~ spl0_57
    | ~ spl0_18
    | ~ spl0_4 ),
    inference(rat,[],[s555,s294,s108,s147,s148]) ).

cnf(s917,plain,
    ( ~ spl0_18
    | spl0_60
    | ~ spl0_4 ),
    inference(rat,[],[s556,s109,s110,s149,s166,s916]) ).

cnf(s918,plain,
    ( ~ spl0_11
    | spl0_18
    | spl0_6
    | spl0_9
    | ~ spl0_152
    | ~ spl0_153 ),
    inference(rat,[],[s21,s911,s910,s908]) ).

cnf(s919,plain,
    ( ~ spl0_16
    | spl0_23
    | ~ spl0_163
    | spl0_94 ),
    inference(rat,[],[s11,s904,s913,s908]) ).

cnf(s920,plain,
    ( ~ spl0_38
    | ~ spl0_17 ),
    inference(rat,[],[s345,s95,s96,s97]) ).

cnf(s921,plain,
    ( ~ spl0_53
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s706,s870,s109,s110,s149]) ).

cnf(s922,plain,
    ( ~ spl0_13
    | ~ spl0_10
    | spl0_26
    | ~ spl0_4 ),
    inference(rat,[],[s893,s108,s294,s147,s148,s47,s921,s908]) ).

cnf(s923,plain,
    ( ~ spl0_37
    | ~ spl0_16
    | ~ spl0_14
    | spl0_26
    | ~ spl0_4 ),
    inference(rat,[],[s775,s782,s162,s163,s164,s12,s919,s904,s244,s98,s99,s136,s908]) ).

cnf(s924,plain,
    ( spl0_6
    | spl0_5
    | ~ spl0_4 ),
    inference(rat,[],[s213,s77,s78,s121,s24,s564,s21,s923,s6,s290,s234,s920,s22,s922,s27,s918,s917,s914,s20,s909,s2,s814,s798,s407,s158,s157,s156,s64,s908]) ).

cnf(s925,plain,
    ( ~ spl0_18
    | spl0_5
    | ~ spl0_4 ),
    inference(rat,[],[s291,s109,s149,s47,s916,s798,s407,s158,s157,s156,s64,s924,s908]) ).

cnf(s926,plain,
    ( ~ spl0_59
    | ~ spl0_12
    | ~ spl0_11 ),
    inference(rat,[],[s245,s107,s145]) ).

cnf(s927,plain,
    ( ~ spl0_32
    | ~ spl0_12
    | ~ spl0_11 ),
    inference(rat,[],[s319,s111,s151]) ).

cnf(s928,plain,
    ( ~ spl0_58
    | ~ spl0_12
    | ~ spl0_11
    | ~ spl0_46 ),
    inference(rat,[],[s365,s100,s102]) ).

cnf(s929,plain,
    ( ~ spl0_54
    | ~ spl0_6
    | ~ spl0_4 ),
    inference(rat,[],[s226,s139,s140]) ).

cnf(s930,plain,
    ( ~ spl0_11
    | ~ spl0_58
    | spl0_18
    | ~ spl0_46 ),
    inference(rat,[],[s21,s928,s911,s908]) ).

cnf(s931,plain,
    ( ~ spl0_34
    | ~ spl0_10 ),
    inference(rat,[],[s213,s77,s78,s121]) ).

cnf(s932,plain,
    ( spl0_5
    | ~ spl0_4 ),
    inference(rat,[],[s227,s162,s164,s52,s931,s27,s909,s7,s920,s51,s930,s48,s929,s925,s924,s35,s798,s407,s156,s157,s158,s64,s915,s908]) ).

cnf(s933,plain,
    ( ~ spl0_12
    | ~ spl0_11
    | ~ spl0_5
    | spl0_1 ),
    inference(rat,[],[s805,s88,s131,s16,s56,s327,s913,s83,s125,s54,s927,s926,s911,s908]) ).

cnf(s937,plain,
    ( ~ spl0_39
    | ~ spl0_6
    | ~ spl0_5 ),
    inference(rat,[],[s328,s84,s127]) ).

cnf(s938,plain,
    ( ~ spl0_6
    | spl0_38
    | ~ spl0_5 ),
    inference(rat,[],[s327,s83,s125,s171,s937]) ).

cnf(s939,plain,
    ( ~ spl0_53
    | ~ spl0_18 ),
    inference(rat,[],[s556,s109,s110,s149]) ).

cnf(s940,plain,
    ( ~ spl0_30
    | ~ spl0_26 ),
    inference(rat,[],[s792,s79,s122,s123]) ).

cnf(s941,plain,
    ( ~ spl0_16
    | spl0_82
    | ~ spl0_125
    | spl0_38
    | ~ spl0_5 ),
    inference(rat,[],[s778,s770,s84,s126,s127,s11,s171,s862,s913,s908]) ).

cnf(s942,plain,
    ( ~ spl0_11
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s157,s798,s407,s156,s158,s18,s704,s6,s941,s909,s87,s130,s45,s940,s47,s939,s938,s920,s233,s8,s914,s917,s916,s21,s933,s911,s932,s1,s908]) ).

cnf(s943,plain,
    ( ~ spl0_25
    | ~ spl0_6
    | ~ spl0_4 ),
    inference(rat,[],[s227,s162,s164]) ).

cnf(s944,plain,
    ( ~ spl0_6
    | spl0_11
    | ~ spl0_4 ),
    inference(rat,[],[s7,s909,s557,s27,s286,s931,s77,s121,s52,s943,s920,s938,s932,s908]) ).

cnf(s945,plain,
    ( spl0_17
    | spl0_26
    | ~ spl0_12
    | spl0_18
    | spl0_6
    | spl0_11 ),
    inference(rat,[],[s562,s150,s151,s24,s16,s234,s931,s805,s20,s27,s88,s131,s909,s34,s7,s908]) ).

cnf(s946,plain,
    ( ~ spl0_32
    | ~ spl0_12 ),
    inference(rat,[],[s808,s111,s150,s151]) ).

cnf(s947,plain,
    ( ~ spl0_20
    | ~ spl0_31
    | ~ spl0_12 ),
    inference(rat,[],[s805,s88,s131]) ).

cnf(s948,plain,
    ( spl0_37
    | spl0_18
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s11,s770,s858,s778,s525,s84,s126,s127,s107,s145,s146,s171,s54,s920,s913,s34,s56,s947,s16,s946,s21,s932,s944,s942,s1,s908]) ).

cnf(s949,plain,
    ( spl0_26
    | ~ spl0_13
    | spl0_20
    | ~ spl0_12
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s10,s340,s407,s564,s8,s156,s157,s158,s430,s18,s109,s110,s922,s46,s908]) ).

cnf(s950,plain,
    ( ~ spl0_12
    | spl0_18
    | spl0_11
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s794,s578,s103,s137,s138,s28,s702,s941,s772,s87,s130,s43,s45,s940,s949,s104,s139,s22,s51,s920,s34,s947,s16,s946,s932,s944,s908]) ).

cnf(s951,plain,
    ( spl0_17
    | ~ spl0_10
    | ~ spl0_37
    | spl0_18
    | spl0_6
    | ~ spl0_4 ),
    inference(rat,[],[s6,s923,s290,s20,s940,s45,s909,s7,s908]) ).

cnf(s952,plain,
    ( spl0_18
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s909,s704,s45,s6,s940,s919,s922,s763,s22,s920,s951,s787,s782,s162,s163,s164,s52,s931,s4,s950,s99,s136,s948,s944,s942,s1,s908]) ).

cnf(s953,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s787,s11,s782,s913,s860,s162,s163,s164,s6,s105,s142,s52,s704,s14,s931,s909,s4,s45,s220,s940,s5,s47,s914,s92,s93,s133,s939,s917,s916,s952,s944,s942,s1,s908]) ).

cnf(s954,plain,
    ( ~ spl0_6
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s343,s69,s117,s38,s233,s920,s944,s938,s932,s908]) ).

cnf(s956,plain,
    ( spl0_17
    | spl0_51
    | ~ spl0_11 ),
    inference(rat,[],[s38,s233,s908]) ).

cnf(s961,plain,
    ( ~ spl0_56
    | ~ spl0_5 ),
    inference(rat,[],[s212,s90,s91,s132]) ).

cnf(s962,plain,
    ( spl0_17
    | spl0_26
    | spl0_18
    | spl0_6
    | ~ spl0_4 ),
    inference(rat,[],[s951,s21,s4,s945,s228,s76,s75,s120,s44,s961,s932,s908]) ).

cnf(s963,plain,
    ( spl0_26
    | spl0_18
    | spl0_6
    | ~ spl0_4 ),
    inference(rat,[],[s10,s600,s572,s578,s137,s138,s947,s28,s16,s941,s946,s87,s130,s4,s27,s922,s22,s920,s962,s228,s76,s75,s120,s44,s961,s932,s908]) ).

cnf(s964,plain,
    ( spl0_18
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s794,s578,s103,s137,s138,s28,s941,s920,s4,s7,s616,s909,s87,s129,s130,s45,s940,s963,s228,s76,s75,s120,s44,s961,s932,s954,s908]) ).

cnf(s965,plain,
    ( ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s789,s94,s134,s135,s30,s43,s220,s946,s4,s616,s87,s129,s45,s940,s47,s914,s92,s93,s133,s939,s917,s916,s964,s228,s75,s76,s120,s44,s961,s954,s932,s908]) ).

cnf(s966,plain,
    ( ~ spl0_11
    | spl0_168
    | ~ spl0_2 ),
    inference(rat,[],[s351,s103,s138,s28,s21,s359,s911,s931,s557,s121,s3,s120,s76,s25,s314,s78,s77,s40,s965,s908]) ).

cnf(s967,plain,
    ( ~ spl0_43
    | ~ spl0_12
    | ~ spl0_9 ),
    inference(rat,[],[s816,s578,s103,s137,s138]) ).

cnf(s968,plain,
    ( spl0_168
    | ~ spl0_2 ),
    inference(rat,[],[s772,s11,s738,s862,s913,s28,s967,s104,s139,s140,s51,s920,s7,s909,s87,s130,s4,s27,s966,s3,s314,s557,s121,s78,s77,s931,s40,s965,s908]) ).

cnf(s969,plain,
    ~ spl0_2,
    inference(rat,[],[s947,s10,s16,s572,s967,s946,s4,s228,s75,s76,s120,s44,s137,s138,s961,s28,s2,s856,s287,s386,s968,s931,s77,s78,s121,s40,s965,s908]) ).

cnf(s970,plain,
    spl0_1,
    inference(rat,[],[s953,s969]) ).

cnf(s971,plain,
    ( ~ spl0_38
    | ~ spl0_11
    | ~ spl0_4 ),
    inference(rat,[],[s266,s106,s144,s29,s310,s21,s917,s364,s914,s70,s117,s8,s956,s233,s920,s95,s96,s932,s911,s908,s969]) ).

cnf(s972,plain,
    ~ spl0_41,
    inference(rat,[],[s372,s75,s76,s120,s970]) ).

cnf(s973,plain,
    ~ spl0_4,
    inference(rat,[],[s971,s938,s944,s44,s961,s932,s972,s908]) ).

cnf(s974,plain,
    spl0_8,
    inference(rat,[],[s25,s908,s973,s972]) ).

cnf(s976,plain,
    spl0_34,
    inference(rat,[],[s40,s908,s973]) ).

cnf(s980,plain,
    spl0_116,
    inference(rat,[],[s121,s976]) ).

cnf(s981,plain,
    ~ spl0_73,
    inference(rat,[],[s78,s976]) ).

cnf(s982,plain,
    ~ spl0_72,
    inference(rat,[],[s77,s976]) ).

cnf(s985,plain,
    spl0_168,
    inference(rat,[],[s314,s974,s981,s982]) ).

cnf(s988,plain,
    ~ spl0_6,
    inference(rat,[],[s386,s981,s980,s985]) ).

cnf(s989,plain,
    ~ spl0_7,
    inference(rat,[],[s287,s980,s982,s985]) ).

cnf(s996,plain,
    spl0_56,
    inference(rat,[],[s44,s972,s908,s988]) ).

cnf(s998,plain,
    spl0_5,
    inference(rat,[],[s2,s988,s908,s989]) ).

cnf(s1002,plain,
    $false,
    inference(rat,[],[s961,s998,s996]) ).

fof(f3158,plain,
    $false,
    inference(avatar_sat_refutation,[],[s1002]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN502-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.06/0.17  % Computer : n011.cluster.edu
% 0.06/0.17  % Model    : x86_64 x86_64
% 0.06/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17  % Memory   : 8046.5625MB
% 0.06/0.17  % OS       : Linux 6.8.0-71-generic
% 0.06/0.17  % CPULimit : 300
% 0.06/0.17  % WCLimit  : 300
% 0.06/0.17  % DateTime : Mon Sep 28 16:17:30 UTC 2026
% 0.06/0.17  % CPUTime  : 
% 0.06/0.17  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.06/0.20  Running first-order model finding
% 0.06/0.20  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.26  % (3509372)Will run a generic schedule for satisfiability detection.
% 0.06/0.26  % (3509380)dis+10_1_sil=32000:sp=arity:random_seed=1195319247:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.06/0.26  % (3509378)% WARNING: option uhcvi not known.
% 0.06/0.26  % (3509377)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3303822468_2999 on theBenchmark for (2999ds/0Mi)
% 0.06/0.26  % (3509379)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3858772516:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.06/0.26  % (3509383)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4179205319:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.06/0.26  % (3509381)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2128139470:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.06/0.26  % (3509382)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2814349435:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.06/0.26  % (3509378)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3674979967:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.06/0.26  % Detected minimum model sizes of [1]
% 0.06/0.26  % Detected maximum model sizes of [32]
% 0.06/0.26  % TRYING [1]
% 0.06/0.26  % TRYING [2]
% 0.06/0.26  % TRYING [3]
% 0.06/0.26  % (3509380) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3509372-3509380"...
% 0.06/0.26  % (3509380)...printing done.
% 0.06/0.26  % (3509380)Refutation found. Thanks to Tanya!
% 0.06/0.26  % SZS status Unsatisfiable for theBenchmark
% 0.06/0.26  % SZS output start Proof for theBenchmark
% See solution above
% 0.47/0.27  % (3509380)------------------------------
% 0.47/0.27  % (3509380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.47/0.27  % (3509380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.47/0.27  % (3509380)CaDiCaL version: 2.1.3
% 0.47/0.27  % (3509380)Termination reason: Refutation
% 0.47/0.27  % (3509380)Time elapsed: 0.025 s
% 0.47/0.27  % (3509380)Peak memory usage: 13 MB
% 0.47/0.27  % (3509380)Instructions burned: 66 (million)
% 0.47/0.27  % (3509372)Success in time 0.054 s
% 0.47/0.27  % Vampire exiting
%------------------------------------------------------------------------------