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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN499-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% 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 01:58:24 PM UTC 2026

% Result   : Unsatisfiable 2.08s 1.11s
% Output   : Refutation 0.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :  240
% Syntax   : Number of formulae    :  944 (  19 unt; 119 def)
%            Number of atoms       : 3243 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 4148 (1849   ~;2180   |;   0   &)
%                                         ( 119 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  149 ( 148 usr; 145 prp; 0-1 aty)
%            Number of functors    :   24 (  24 usr;  24 con; 0-0 aty)
%            Number of variables   :  175 (   0 sgn 175   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,negated_conjecture,
    ( ~ hskp27
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).

fof(f16,negated_conjecture,
    ( ~ hskp15
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause16) ).

fof(f28,negated_conjecture,
    ( ~ hskp3
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause28) ).

fof(f33,negated_conjecture,
    ( hskp27
    | hskp3
    | hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).

fof(f36,negated_conjecture,
    ( hskp12
    | hskp19
    | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).

fof(f41,negated_conjecture,
    ( ~ hskp29
    | c0_1(a136) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).

fof(f42,negated_conjecture,
    ( ~ hskp29
    | c1_1(a136) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).

fof(f43,negated_conjecture,
    ( ~ hskp29
    | c2_1(a136) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).

fof(f44,negated_conjecture,
    ( ~ hskp28
    | c1_1(a133) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).

fof(f45,negated_conjecture,
    ( ~ hskp28
    | c2_1(a133) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).

fof(f46,negated_conjecture,
    ( ~ hskp28
    | c3_1(a133) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).

fof(f47,negated_conjecture,
    ( ~ hskp27
    | c0_1(a122) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

fof(f48,negated_conjecture,
    ( ~ hskp27
    | c2_1(a122) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

fof(f49,negated_conjecture,
    ( ~ hskp27
    | c3_1(a122) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

fof(f53,negated_conjecture,
    ( ~ hskp23
    | c2_1(a179) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).

fof(f54,negated_conjecture,
    ( ~ hskp22
    | c0_1(a176) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).

fof(f58,negated_conjecture,
    ( ~ hskp19
    | c1_1(a164) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

fof(f59,negated_conjecture,
    ( ~ hskp19
    | c3_1(a164) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

fof(f60,negated_conjecture,
    ( ~ hskp18
    | c3_1(a160) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).

fof(f61,negated_conjecture,
    ( ~ hskp17
    | c1_1(a155) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).

fof(f64,negated_conjecture,
    ( ~ hskp15
    | c2_1(a153) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

fof(f65,negated_conjecture,
    ( ~ hskp15
    | c3_1(a153) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).

fof(f66,negated_conjecture,
    ( ~ hskp14
    | c0_1(a147) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).

fof(f67,negated_conjecture,
    ( ~ hskp13
    | c2_1(a143) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

fof(f68,negated_conjecture,
    ( ~ hskp13
    | c3_1(a143) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

fof(f69,negated_conjecture,
    ( ~ hskp12
    | c0_1(a142) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

fof(f70,negated_conjecture,
    ( ~ hskp12
    | c3_1(a142) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

fof(f72,negated_conjecture,
    ( ~ hskp9
    | c0_1(a138) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

fof(f73,negated_conjecture,
    ( ~ hskp9
    | c1_1(a138) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f74,negated_conjecture,
    ( ~ hskp8
    | c2_1(a134) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f75,negated_conjecture,
    ( ~ hskp7
    | c3_1(a132) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f76,negated_conjecture,
    ( ~ hskp4
    | c0_1(a128) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f77,negated_conjecture,
    ( ~ hskp4
    | c1_1(a128) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

fof(f78,negated_conjecture,
    ( ~ hskp3
    | c1_1(a127) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f79,negated_conjecture,
    ( ~ hskp2
    | c1_1(a125) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( ~ hskp2
    | c2_1(a125) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( ~ hskp1
    | c1_1(a124) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

fof(f83,negated_conjecture,
    ( ~ hskp0
    | c2_1(a123) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

fof(f87,negated_conjecture,
    ( ~ c0_1(a182)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

fof(f88,negated_conjecture,
    ( ~ c2_1(a182)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).

fof(f89,negated_conjecture,
    ( ~ c3_1(a182)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).

fof(f91,negated_conjecture,
    ( ~ c3_1(a179)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).

fof(f92,negated_conjecture,
    ( ~ c1_1(a176)
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).

fof(f93,negated_conjecture,
    ( ~ c2_1(a176)
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).

fof(f97,negated_conjecture,
    ( ~ c2_1(a164)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).

fof(f98,negated_conjecture,
    ( ~ c1_1(a160)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

fof(f99,negated_conjecture,
    ( ~ c2_1(a160)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

fof(f100,negated_conjecture,
    ( ~ c0_1(a155)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f101,negated_conjecture,
    ( ~ c2_1(a155)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

fof(f103,negated_conjecture,
    ( ~ c0_1(a153)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

fof(f104,negated_conjecture,
    ( ~ c1_1(a147)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

fof(f106,negated_conjecture,
    ( ~ c1_1(a143)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

fof(f107,negated_conjecture,
    ( ~ c1_1(a142)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

fof(f108,negated_conjecture,
    ( ~ c1_1(a141)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

fof(f110,negated_conjecture,
    ( ~ c3_1(a141)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

fof(f113,negated_conjecture,
    ( ~ c2_1(a138)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

fof(f114,negated_conjecture,
    ( ~ c0_1(a134)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

fof(f115,negated_conjecture,
    ( ~ c3_1(a134)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

fof(f116,negated_conjecture,
    ( ~ c0_1(a132)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

fof(f117,negated_conjecture,
    ( ~ c2_1(a132)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f118,negated_conjecture,
    ( ~ c0_1(a131)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f119,negated_conjecture,
    ( ~ c1_1(a131)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

fof(f121,negated_conjecture,
    ( ~ c0_1(a130)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

fof(f123,negated_conjecture,
    ( ~ c3_1(a130)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

fof(f124,negated_conjecture,
    ( ~ c3_1(a128)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

fof(f125,negated_conjecture,
    ( ~ c2_1(a127)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f126,negated_conjecture,
    ( ~ c3_1(a127)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).

fof(f127,negated_conjecture,
    ( ~ c0_1(a125)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

fof(f128,negated_conjecture,
    ( ~ c3_1(a124)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

fof(f129,negated_conjecture,
    ( ~ c0_1(a123)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

fof(f130,negated_conjecture,
    ( ~ c1_1(a123)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

fof(f131,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | hskp2
      | hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).

fof(f132,negated_conjecture,
    ! [X0] :
      ( ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | hskp29
      | hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).

fof(f137,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c2_1(X0)
      | hskp28
      | hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).

fof(f140,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | c2_1(X0)
      | hskp19
      | hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).

fof(f142,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X0)
      | hskp15
      | hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).

fof(f143,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).

fof(f145,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp29
      | hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).

fof(f146,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | hskp0
      | hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).

fof(f148,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp3
      | hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).

fof(f149,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp0
      | hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).

fof(f150,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp22
      | hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).

fof(f151,negated_conjecture,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c1_1(X0)
      | hskp8
      | hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).

fof(f154,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp1
      | hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).

fof(f156,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp17
      | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).

fof(f157,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp17
      | hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).

fof(f158,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | hskp15
      | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).

fof(f159,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp12
      | hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).

fof(f161,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | hskp27
      | hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).

fof(f165,negated_conjecture,
    ! [X0] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp2
      | hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).

fof(f166,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp9
      | hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).

fof(f167,negated_conjecture,
    ! [X0] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp3
      | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).

fof(f168,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | c0_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).

fof(f169,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).

fof(f171,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).

fof(f172,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).

fof(f173,negated_conjecture,
    ! [X0,X1] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c0_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).

fof(f174,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).

fof(f175,negated_conjecture,
    ! [X0,X1] :
      ( ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c0_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).

fof(f176,negated_conjecture,
    ! [X0,X1] :
      ( ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).

fof(f177,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | c3_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).

fof(f180,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).

fof(f181,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).

fof(f182,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).

fof(f183,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).

fof(f185,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | c0_1(X1)
      | c1_1(X1)
      | hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).

fof(f187,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause187) ).

fof(f188,negated_conjecture,
    ! [X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause188) ).

fof(f189,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | c2_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | c1_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause189) ).

fof(f190,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | c0_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | c0_1(X2)
      | c1_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause190) ).

fof(f192,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X2)
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | c0_1(X2)
      | c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause192) ).

fof(f193,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | c1_1(X0)
      | c1_1(X1)
      | c2_1(X1)
      | c0_1(X2)
      | c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause193) ).

fof(f195,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X2)
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | c0_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause195) ).

fof(f196,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X2)
      | c2_1(X0)
      | c2_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause196) ).

fof(f197,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X2)
      | c2_1(X0)
      | c2_1(X1)
      | c3_1(X1)
      | c1_1(X2)
      | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause197) ).

fof(f198,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X2)
      | c1_1(X1)
      | c2_1(X1)
      | c0_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause198) ).

fof(f199,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c1_1(X2)
      | ~ c2_1(X2)
      | c3_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | c0_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause199) ).

fof(f200,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | c1_1(X1)
      | c0_1(X2)
      | c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause200) ).

fof(f202,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X2)
      | c1_1(X1)
      | c2_1(X1)
      | c0_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause202) ).

fof(f203,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X2)
      | c3_1(X1)
      | c2_1(X2)
      | c3_1(X2) ),
    file('/export/starexec/sandbox2/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)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X2)
      | c3_1(X1)
      | c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause204) ).

fof(f206,definition,
    ( spl0_1
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c1_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f207,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c1_1(X2)
        | ~ c3_1(X2) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f206]) ).

fof(f209,definition,
    ( spl0_2
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f210,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f209]) ).

fof(f212,definition,
    ( spl0_3
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f216,definition,
    ( spl0_4
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f217,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f216]) ).

fof(f218,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f204,f216,f212,f209,f206]) ).

fof(f220,definition,
    ( spl0_5
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f221,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c3_1(X2)
        | c2_1(X2) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f220]) ).

fof(f223,definition,
    ( spl0_6
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f224,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f223]) ).

fof(f225,plain,
    ( spl0_5
    | spl0_2
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f203,f223,f212,f209,f220]) ).

fof(f227,definition,
    ( spl0_7
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c0_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f228,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c0_1(X2)
        | ~ c3_1(X2) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f227]) ).

fof(f230,definition,
    ( spl0_8
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f231,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f230]) ).

fof(f232,plain,
    ( spl0_7
    | spl0_8
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f202,f216,f212,f230,f227]) ).

fof(f237,definition,
    ( spl0_10
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f238,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f237]) ).

fof(f241,definition,
    ( spl0_11
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f242,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f241]) ).

fof(f244,definition,
    ( spl0_12
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f245,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f244]) ).

fof(f246,plain,
    ( spl0_11
    | spl0_12
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f200,f223,f212,f244,f241]) ).

fof(f248,definition,
    ( spl0_13
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c0_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f249,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c0_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f248]) ).

fof(f251,definition,
    ( spl0_14
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f252,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f253,plain,
    ( spl0_13
    | spl0_14
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f199,f209,f212,f251,f248]) ).

fof(f255,definition,
    ( spl0_15
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c3_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f256,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f255]) ).

fof(f258,definition,
    ( spl0_16
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f259,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c2_1(X1)
        | c1_1(X1) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f258]) ).

fof(f261,definition,
    ( spl0_17
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f262,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f263,plain,
    ( spl0_15
    | spl0_16
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f198,f261,f212,f258,f255]) ).

fof(f265,definition,
    ( spl0_18
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f266,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f265]) ).

fof(f267,plain,
    ( spl0_16
    | spl0_5
    | ~ spl0_3
    | spl0_18 ),
    inference(avatar_split_clause,[],[f197,f265,f212,f220,f258]) ).

fof(f269,definition,
    ( spl0_19
  <=> ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f270,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f269]) ).

fof(f271,plain,
    ( spl0_15
    | spl0_5
    | ~ spl0_3
    | spl0_19 ),
    inference(avatar_split_clause,[],[f196,f269,f212,f220,f255]) ).

fof(f273,definition,
    ( spl0_20
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f274,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f273]) ).

fof(f275,plain,
    ( spl0_20
    | spl0_13
    | ~ spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f195,f230,f212,f248,f273]) ).

fof(f277,definition,
    ( spl0_21
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f278,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f277]) ).

fof(f281,definition,
    ( spl0_22
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f282,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f281]) ).

fof(f283,plain,
    ( spl0_22
    | spl0_16
    | ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f193,f206,f212,f258,f281]) ).

fof(f284,plain,
    ( spl0_22
    | spl0_21
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f192,f209,f212,f277,f281]) ).

fof(f286,definition,
    ( spl0_23
  <=> ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f287,plain,
    ( ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | c1_1(X2) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f286]) ).

fof(f292,plain,
    ( spl0_23
    | spl0_21
    | ~ spl0_3
    | spl0_20 ),
    inference(avatar_split_clause,[],[f190,f273,f212,f277,f286]) ).

fof(f294,definition,
    ( spl0_25
  <=> ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f295,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f294]) ).

fof(f296,plain,
    ( spl0_23
    | spl0_25
    | ~ spl0_3
    | spl0_19 ),
    inference(avatar_split_clause,[],[f189,f269,f212,f294,f286]) ).

fof(f298,definition,
    ( spl0_26
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f302,definition,
    ( spl0_27
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f303,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f302]) ).

fof(f305,definition,
    ( spl0_28
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f306,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f305]) ).

fof(f307,plain,
    ( spl0_26
    | spl0_27
    | ~ spl0_3
    | spl0_28 ),
    inference(avatar_split_clause,[],[f188,f305,f212,f302,f298]) ).

fof(f309,definition,
    ( spl0_29
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f312,plain,
    ( spl0_29
    | spl0_16
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f187,f237,f212,f258,f309]) ).

fof(f319,definition,
    ( spl0_31
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f322,plain,
    ( spl0_31
    | spl0_11
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f185,f261,f212,f241,f319]) ).

fof(f324,definition,
    ( spl0_32
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f328,definition,
    ( spl0_33
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f329,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f328]) ).

fof(f332,definition,
    ( spl0_34
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f336,definition,
    ( spl0_35
  <=> ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f337,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f336]) ).

fof(f338,plain,
    ( spl0_34
    | spl0_20
    | ~ spl0_3
    | spl0_35 ),
    inference(avatar_split_clause,[],[f183,f336,f212,f273,f332]) ).

fof(f340,definition,
    ( spl0_36
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f343,plain,
    ( spl0_36
    | spl0_21
    | ~ spl0_3
    | spl0_33 ),
    inference(avatar_split_clause,[],[f182,f328,f212,f277,f340]) ).

fof(f345,definition,
    ( spl0_37
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f349,definition,
    ( spl0_38
  <=> ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f350,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f349]) ).

fof(f351,plain,
    ( spl0_37
    | spl0_38
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f181,f237,f212,f349,f345]) ).

fof(f352,plain,
    ( spl0_26
    | spl0_22
    | ~ spl0_3
    | spl0_28 ),
    inference(avatar_split_clause,[],[f180,f305,f212,f281,f298]) ).

fof(f355,definition,
    ( spl0_39
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f360,definition,
    ( spl0_40
  <=> ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f361,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | c2_1(X1) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f360]) ).

fof(f362,plain,
    ( spl0_34
    | spl0_40
    | ~ spl0_3
    | spl0_33 ),
    inference(avatar_split_clause,[],[f177,f328,f212,f360,f332]) ).

fof(f364,definition,
    ( spl0_41
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f367,plain,
    ( spl0_41
    | spl0_20
    | ~ spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f176,f220,f212,f273,f364]) ).

fof(f369,definition,
    ( spl0_42
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f372,plain,
    ( spl0_42
    | spl0_20
    | ~ spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f175,f255,f212,f273,f369]) ).

fof(f374,definition,
    ( spl0_43
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f377,plain,
    ( spl0_43
    | spl0_21
    | ~ spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f174,f230,f212,f277,f374]) ).

fof(f378,plain,
    ( spl0_34
    | spl0_21
    | ~ spl0_3
    | spl0_20 ),
    inference(avatar_split_clause,[],[f173,f273,f212,f277,f332]) ).

fof(f380,definition,
    ( spl0_44
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f383,plain,
    ( spl0_44
    | spl0_11
    | ~ spl0_3
    | spl0_21 ),
    inference(avatar_split_clause,[],[f172,f277,f212,f241,f380]) ).

fof(f385,definition,
    ( spl0_45
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f388,plain,
    ( spl0_45
    | spl0_23
    | ~ spl0_3
    | spl0_33 ),
    inference(avatar_split_clause,[],[f171,f328,f212,f286,f385]) ).

fof(f390,definition,
    ( spl0_46
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f395,definition,
    ( spl0_47
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f398,plain,
    ( spl0_47
    | spl0_23
    | ~ spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f169,f220,f212,f286,f395]) ).

fof(f399,plain,
    ( spl0_39
    | spl0_23
    | ~ spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f168,f255,f212,f286,f355]) ).

fof(f400,plain,
    ( spl0_43
    | spl0_46
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f167,f223,f212,f390,f374]) ).

fof(f401,plain,
    ( spl0_37
    | spl0_32
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f166,f223,f212,f324,f345]) ).

fof(f403,definition,
    ( spl0_48
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f407,definition,
    ( spl0_49
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f410,plain,
    ( spl0_48
    | spl0_49
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f165,f216,f212,f407,f403]) ).

fof(f416,definition,
    ( spl0_51
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f426,definition,
    ( spl0_53
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f430,plain,
    ( spl0_48
    | spl0_39
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f161,f209,f212,f355,f403]) ).

fof(f432,definition,
    ( spl0_54
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f437,definition,
    ( spl0_55
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f440,plain,
    ( spl0_55
    | spl0_34
    | ~ spl0_3
    | spl0_33 ),
    inference(avatar_split_clause,[],[f159,f328,f212,f332,f437]) ).

fof(f442,definition,
    ( spl0_56
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f445,plain,
    ( spl0_43
    | spl0_56
    | ~ spl0_3
    | spl0_19 ),
    inference(avatar_split_clause,[],[f158,f269,f212,f442,f374]) ).

fof(f447,definition,
    ( spl0_57
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f450,plain,
    ( spl0_54
    | spl0_57
    | ~ spl0_3
    | spl0_19 ),
    inference(avatar_split_clause,[],[f157,f269,f212,f447,f432]) ).

fof(f451,plain,
    ( spl0_43
    | spl0_57
    | ~ spl0_3
    | spl0_19 ),
    inference(avatar_split_clause,[],[f156,f269,f212,f447,f374]) ).

fof(f453,plain,
    ( spl0_46
    | spl0_45
    | ~ spl0_3
    | spl0_18 ),
    inference(avatar_split_clause,[],[f154,f265,f212,f385,f390]) ).

fof(f455,definition,
    ( spl0_58
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f460,plain,
    ( spl0_53
    | spl0_37
    | ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f151,f206,f212,f345,f426]) ).

fof(f461,plain,
    ( spl0_26
    | spl0_51
    | ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f150,f206,f212,f416,f298]) ).

fof(f462,plain,
    ( spl0_26
    | spl0_47
    | ~ spl0_3
    | spl0_27 ),
    inference(avatar_split_clause,[],[f149,f302,f212,f395,f298]) ).

fof(f463,plain,
    ( spl0_56
    | spl0_46
    | ~ spl0_3
    | spl0_27 ),
    inference(avatar_split_clause,[],[f148,f302,f212,f390,f442]) ).

fof(f469,plain,
    ( spl0_58
    | spl0_47
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f146,f227,f212,f395,f455]) ).

fof(f470,plain,
    ( spl0_26
    | spl0_41
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f145,f227,f212,f364,f298]) ).

fof(f475,plain,
    ( spl0_51
    | ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f143,f209,f212,f416]) ).

fof(f476,plain,
    ( spl0_54
    | spl0_56
    | ~ spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f142,f220,f212,f442,f432]) ).

fof(f486,plain,
    ( spl0_57
    | spl0_48
    | ~ spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f140,f230,f212,f403,f447]) ).

fof(f489,plain,
    ( spl0_46
    | spl0_36
    | ~ spl0_3
    | spl0_21 ),
    inference(avatar_split_clause,[],[f137,f277,f212,f340,f390]) ).

fof(f494,plain,
    ( spl0_26
    | spl0_41
    | spl0_38
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f132,f212,f349,f364,f298]) ).

fof(f495,plain,
    ( spl0_45
    | spl0_49
    | spl0_23
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f131,f212,f286,f407,f385]) ).

fof(f497,definition,
    ( spl0_63
  <=> c1_1(a123) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f499,plain,
    ( ~ c1_1(a123)
    | spl0_63 ),
    inference(avatar_component_clause,[],[f497]) ).

fof(f500,plain,
    ( ~ spl0_47
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f130,f497,f395]) ).

fof(f502,definition,
    ( spl0_64
  <=> c0_1(a123) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f504,plain,
    ( ~ c0_1(a123)
    | spl0_64 ),
    inference(avatar_component_clause,[],[f502]) ).

fof(f505,plain,
    ( ~ spl0_47
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f129,f502,f395]) ).

fof(f507,definition,
    ( spl0_65
  <=> c3_1(a124) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f509,plain,
    ( ~ c3_1(a124)
    | spl0_65 ),
    inference(avatar_component_clause,[],[f507]) ).

fof(f510,plain,
    ( ~ spl0_45
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f128,f507,f385]) ).

fof(f512,definition,
    ( spl0_66
  <=> c0_1(a125) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f514,plain,
    ( ~ c0_1(a125)
    | spl0_66 ),
    inference(avatar_component_clause,[],[f512]) ).

fof(f515,plain,
    ( ~ spl0_49
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f127,f512,f407]) ).

fof(f517,definition,
    ( spl0_67
  <=> c3_1(a127) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f519,plain,
    ( ~ c3_1(a127)
    | spl0_67 ),
    inference(avatar_component_clause,[],[f517]) ).

fof(f520,plain,
    ( ~ spl0_46
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f126,f517,f390]) ).

fof(f522,definition,
    ( spl0_68
  <=> c2_1(a127) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f524,plain,
    ( ~ c2_1(a127)
    | spl0_68 ),
    inference(avatar_component_clause,[],[f522]) ).

fof(f525,plain,
    ( ~ spl0_46
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f125,f522,f390]) ).

fof(f527,definition,
    ( spl0_69
  <=> c3_1(a128) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f529,plain,
    ( ~ c3_1(a128)
    | spl0_69 ),
    inference(avatar_component_clause,[],[f527]) ).

fof(f530,plain,
    ( ~ spl0_44
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f124,f527,f380]) ).

fof(f532,definition,
    ( spl0_70
  <=> c3_1(a130) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f534,plain,
    ( ~ c3_1(a130)
    | spl0_70 ),
    inference(avatar_component_clause,[],[f532]) ).

fof(f535,plain,
    ( ~ spl0_31
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f123,f532,f319]) ).

fof(f542,definition,
    ( spl0_72
  <=> c0_1(a130) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f544,plain,
    ( ~ c0_1(a130)
    | spl0_72 ),
    inference(avatar_component_clause,[],[f542]) ).

fof(f545,plain,
    ( ~ spl0_31
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f121,f542,f319]) ).

fof(f552,definition,
    ( spl0_74
  <=> c1_1(a131) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f554,plain,
    ( ~ c1_1(a131)
    | spl0_74 ),
    inference(avatar_component_clause,[],[f552]) ).

fof(f555,plain,
    ( ~ spl0_29
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f119,f552,f309]) ).

fof(f557,definition,
    ( spl0_75
  <=> c0_1(a131) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f559,plain,
    ( ~ c0_1(a131)
    | spl0_75 ),
    inference(avatar_component_clause,[],[f557]) ).

fof(f560,plain,
    ( ~ spl0_29
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f118,f557,f309]) ).

fof(f562,definition,
    ( spl0_76
  <=> c2_1(a132) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f564,plain,
    ( ~ c2_1(a132)
    | spl0_76 ),
    inference(avatar_component_clause,[],[f562]) ).

fof(f565,plain,
    ( ~ spl0_26
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f117,f562,f298]) ).

fof(f567,definition,
    ( spl0_77
  <=> c0_1(a132) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f569,plain,
    ( ~ c0_1(a132)
    | spl0_77 ),
    inference(avatar_component_clause,[],[f567]) ).

fof(f570,plain,
    ( ~ spl0_26
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f116,f567,f298]) ).

fof(f572,definition,
    ( spl0_78
  <=> c3_1(a134) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f574,plain,
    ( ~ c3_1(a134)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f572]) ).

fof(f575,plain,
    ( ~ spl0_37
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f115,f572,f345]) ).

fof(f577,definition,
    ( spl0_79
  <=> c0_1(a134) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f579,plain,
    ( ~ c0_1(a134)
    | spl0_79 ),
    inference(avatar_component_clause,[],[f577]) ).

fof(f580,plain,
    ( ~ spl0_37
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f114,f577,f345]) ).

fof(f582,definition,
    ( spl0_80
  <=> c2_1(a138) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f584,plain,
    ( ~ c2_1(a138)
    | spl0_80 ),
    inference(avatar_component_clause,[],[f582]) ).

fof(f585,plain,
    ( ~ spl0_32
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f113,f582,f324]) ).

fof(f597,definition,
    ( spl0_83
  <=> c3_1(a141) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f599,plain,
    ( ~ c3_1(a141)
    | spl0_83 ),
    inference(avatar_component_clause,[],[f597]) ).

fof(f600,plain,
    ( ~ spl0_55
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f110,f597,f437]) ).

fof(f607,definition,
    ( spl0_85
  <=> c1_1(a141) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f609,plain,
    ( ~ c1_1(a141)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f607]) ).

fof(f610,plain,
    ( ~ spl0_55
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f108,f607,f437]) ).

fof(f612,definition,
    ( spl0_86
  <=> c1_1(a142) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f614,plain,
    ( ~ c1_1(a142)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f612]) ).

fof(f615,plain,
    ( ~ spl0_34
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f107,f612,f332]) ).

fof(f617,definition,
    ( spl0_87
  <=> c1_1(a143) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f619,plain,
    ( ~ c1_1(a143)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f617]) ).

fof(f620,plain,
    ( ~ spl0_43
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f106,f617,f374]) ).

fof(f627,definition,
    ( spl0_89
  <=> c1_1(a147) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f630,plain,
    ( ~ spl0_42
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f104,f627,f369]) ).

fof(f632,definition,
    ( spl0_90
  <=> c0_1(a153) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f634,plain,
    ( ~ c0_1(a153)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f632]) ).

fof(f635,plain,
    ( ~ spl0_56
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f103,f632,f442]) ).

fof(f642,definition,
    ( spl0_92
  <=> c2_1(a155) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f644,plain,
    ( ~ c2_1(a155)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f642]) ).

fof(f645,plain,
    ( ~ spl0_57
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f101,f642,f447]) ).

fof(f647,definition,
    ( spl0_93
  <=> c0_1(a155) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f649,plain,
    ( ~ c0_1(a155)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f647]) ).

fof(f650,plain,
    ( ~ spl0_57
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f100,f647,f447]) ).

fof(f652,definition,
    ( spl0_94
  <=> c2_1(a160) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f654,plain,
    ( ~ c2_1(a160)
    | spl0_94 ),
    inference(avatar_component_clause,[],[f652]) ).

fof(f655,plain,
    ( ~ spl0_58
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f99,f652,f455]) ).

fof(f657,definition,
    ( spl0_95
  <=> c1_1(a160) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f659,plain,
    ( ~ c1_1(a160)
    | spl0_95 ),
    inference(avatar_component_clause,[],[f657]) ).

fof(f660,plain,
    ( ~ spl0_58
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f98,f657,f455]) ).

fof(f662,definition,
    ( spl0_96
  <=> c2_1(a164) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f664,plain,
    ( ~ c2_1(a164)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f662]) ).

fof(f665,plain,
    ( ~ spl0_48
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f97,f662,f403]) ).

fof(f682,definition,
    ( spl0_100
  <=> c2_1(a176) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f684,plain,
    ( ~ c2_1(a176)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f682]) ).

fof(f685,plain,
    ( ~ spl0_51
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f93,f682,f416]) ).

fof(f687,definition,
    ( spl0_101
  <=> c1_1(a176) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f689,plain,
    ( ~ c1_1(a176)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f687]) ).

fof(f690,plain,
    ( ~ spl0_51
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f92,f687,f416]) ).

fof(f692,definition,
    ( spl0_102
  <=> c3_1(a179) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f695,plain,
    ( ~ spl0_53
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f91,f692,f426]) ).

fof(f702,definition,
    ( spl0_104
  <=> c3_1(a182) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f704,plain,
    ( ~ c3_1(a182)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f702]) ).

fof(f705,plain,
    ( ~ spl0_54
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f89,f702,f432]) ).

fof(f707,definition,
    ( spl0_105
  <=> c2_1(a182) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f709,plain,
    ( ~ c2_1(a182)
    | spl0_105 ),
    inference(avatar_component_clause,[],[f707]) ).

fof(f710,plain,
    ( ~ spl0_54
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f88,f707,f432]) ).

fof(f712,definition,
    ( spl0_106
  <=> c0_1(a182) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f714,plain,
    ( ~ c0_1(a182)
    | spl0_106 ),
    inference(avatar_component_clause,[],[f712]) ).

fof(f715,plain,
    ( ~ spl0_54
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f87,f712,f432]) ).

fof(f736,definition,
    ( spl0_111
  <=> c2_1(a123) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f738,plain,
    ( c2_1(a123)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f736]) ).

fof(f739,plain,
    ( spl0_111
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f83,f395,f736]) ).

fof(f746,definition,
    ( spl0_113
  <=> c1_1(a124) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f748,plain,
    ( c1_1(a124)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f746]) ).

fof(f749,plain,
    ( spl0_113
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f81,f385,f746]) ).

fof(f751,definition,
    ( spl0_114
  <=> c2_1(a125) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f753,plain,
    ( c2_1(a125)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f751]) ).

fof(f754,plain,
    ( spl0_114
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f80,f407,f751]) ).

fof(f756,definition,
    ( spl0_115
  <=> c1_1(a125) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f758,plain,
    ( c1_1(a125)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f756]) ).

fof(f759,plain,
    ( spl0_115
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f79,f407,f756]) ).

fof(f761,definition,
    ( spl0_116
  <=> c1_1(a127) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f763,plain,
    ( c1_1(a127)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f761]) ).

fof(f764,plain,
    ( spl0_116
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f78,f390,f761]) ).

fof(f766,definition,
    ( spl0_117
  <=> c1_1(a128) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f768,plain,
    ( c1_1(a128)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f766]) ).

fof(f769,plain,
    ( spl0_117
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f77,f380,f766]) ).

fof(f771,definition,
    ( spl0_118
  <=> c0_1(a128) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f774,plain,
    ( spl0_118
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f76,f380,f771]) ).

fof(f776,definition,
    ( spl0_119
  <=> c3_1(a132) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f778,plain,
    ( c3_1(a132)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f776]) ).

fof(f779,plain,
    ( spl0_119
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f75,f298,f776]) ).

fof(f781,definition,
    ( spl0_120
  <=> c2_1(a134) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f783,plain,
    ( c2_1(a134)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f781]) ).

fof(f784,plain,
    ( spl0_120
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f74,f345,f781]) ).

fof(f786,definition,
    ( spl0_121
  <=> c1_1(a138) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f788,plain,
    ( c1_1(a138)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f786]) ).

fof(f789,plain,
    ( spl0_121
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f73,f324,f786]) ).

fof(f791,definition,
    ( spl0_122
  <=> c0_1(a138) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f794,plain,
    ( spl0_122
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f72,f324,f791]) ).

fof(f801,definition,
    ( spl0_124
  <=> c3_1(a142) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f803,plain,
    ( c3_1(a142)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f801]) ).

fof(f804,plain,
    ( spl0_124
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f70,f332,f801]) ).

fof(f806,definition,
    ( spl0_125
  <=> c0_1(a142) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f808,plain,
    ( c0_1(a142)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f806]) ).

fof(f809,plain,
    ( spl0_125
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f69,f332,f806]) ).

fof(f811,definition,
    ( spl0_126
  <=> c3_1(a143) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f813,plain,
    ( c3_1(a143)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f811]) ).

fof(f814,plain,
    ( spl0_126
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f68,f374,f811]) ).

fof(f816,definition,
    ( spl0_127
  <=> c2_1(a143) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f818,plain,
    ( c2_1(a143)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f816]) ).

fof(f819,plain,
    ( spl0_127
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f67,f374,f816]) ).

fof(f821,definition,
    ( spl0_128
  <=> c0_1(a147) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f823,plain,
    ( c0_1(a147)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f821]) ).

fof(f824,plain,
    ( spl0_128
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f66,f369,f821]) ).

fof(f826,definition,
    ( spl0_129
  <=> c3_1(a153) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f828,plain,
    ( c3_1(a153)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f826]) ).

fof(f829,plain,
    ( spl0_129
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f65,f442,f826]) ).

fof(f831,definition,
    ( spl0_130
  <=> c2_1(a153) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f833,plain,
    ( c2_1(a153)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f831]) ).

fof(f834,plain,
    ( spl0_130
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f64,f442,f831]) ).

fof(f846,definition,
    ( spl0_133
  <=> c1_1(a155) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f848,plain,
    ( c1_1(a155)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f846]) ).

fof(f849,plain,
    ( spl0_133
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f61,f447,f846]) ).

fof(f851,definition,
    ( spl0_134
  <=> c3_1(a160) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f853,plain,
    ( c3_1(a160)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f851]) ).

fof(f854,plain,
    ( spl0_134
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f60,f455,f851]) ).

fof(f856,definition,
    ( spl0_135
  <=> c3_1(a164) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f858,plain,
    ( c3_1(a164)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f856]) ).

fof(f859,plain,
    ( spl0_135
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f59,f403,f856]) ).

fof(f861,definition,
    ( spl0_136
  <=> c1_1(a164) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f863,plain,
    ( c1_1(a164)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f861]) ).

fof(f864,plain,
    ( spl0_136
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f58,f403,f861]) ).

fof(f881,definition,
    ( spl0_140
  <=> c0_1(a176) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f883,plain,
    ( c0_1(a176)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f881]) ).

fof(f884,plain,
    ( spl0_140
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f54,f416,f881]) ).

fof(f886,definition,
    ( spl0_141
  <=> c2_1(a179) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f888,plain,
    ( c2_1(a179)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f886]) ).

fof(f889,plain,
    ( spl0_141
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f53,f426,f886]) ).

fof(f906,definition,
    ( spl0_145
  <=> c3_1(a122) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f908,plain,
    ( c3_1(a122)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f906]) ).

fof(f909,plain,
    ( spl0_145
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f49,f355,f906]) ).

fof(f911,definition,
    ( spl0_146
  <=> c2_1(a122) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f913,plain,
    ( c2_1(a122)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f911]) ).

fof(f914,plain,
    ( spl0_146
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f48,f355,f911]) ).

fof(f916,definition,
    ( spl0_147
  <=> c0_1(a122) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f918,plain,
    ( c0_1(a122)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f916]) ).

fof(f919,plain,
    ( spl0_147
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f47,f355,f916]) ).

fof(f921,definition,
    ( spl0_148
  <=> c3_1(a133) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f923,plain,
    ( c3_1(a133)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f921]) ).

fof(f924,plain,
    ( spl0_148
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f46,f340,f921]) ).

fof(f926,definition,
    ( spl0_149
  <=> c2_1(a133) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f928,plain,
    ( c2_1(a133)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f926]) ).

fof(f929,plain,
    ( spl0_149
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f45,f340,f926]) ).

fof(f931,definition,
    ( spl0_150
  <=> c1_1(a133) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f933,plain,
    ( c1_1(a133)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f931]) ).

fof(f934,plain,
    ( spl0_150
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f44,f340,f931]) ).

fof(f936,definition,
    ( spl0_151
  <=> c2_1(a136) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f938,plain,
    ( c2_1(a136)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f936]) ).

fof(f939,plain,
    ( spl0_151
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f43,f364,f936]) ).

fof(f941,definition,
    ( spl0_152
  <=> c1_1(a136) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f943,plain,
    ( c1_1(a136)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f941]) ).

fof(f944,plain,
    ( spl0_152
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f42,f364,f941]) ).

fof(f946,definition,
    ( spl0_153
  <=> c0_1(a136) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f948,plain,
    ( c0_1(a136)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f946]) ).

fof(f949,plain,
    ( spl0_153
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f41,f364,f946]) ).

fof(f966,plain,
    ( spl0_43
    | spl0_48
    | spl0_34 ),
    inference(avatar_split_clause,[],[f36,f332,f403,f374]) ).

fof(f969,plain,
    ( spl0_56
    | spl0_46
    | spl0_39 ),
    inference(avatar_split_clause,[],[f33,f355,f390,f442]) ).

fof(f974,plain,
    ( spl0_3
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f28,f390,f212]) ).

fof(f986,plain,
    ( spl0_3
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f16,f442,f212]) ).

fof(f998,plain,
    ( spl0_3
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f4,f355,f212]) ).

fof(f1002,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c3_1(X2) )
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[],[f221,f210]) ).

fof(f1003,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[],[f224,f210]) ).

fof(f1005,plain,
    ( ! [X2] :
        ( ~ c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_7
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f256,f228]) ).

fof(f1006,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_16
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[],[f270,f259]) ).

fof(f1007,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_21
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[],[f287,f278]) ).

fof(f1011,plain,
    ( ! [X2] : c0_1(X2)
    | ~ spl0_7
    | ~ spl0_15
    | ~ spl0_21
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[],[f1007,f1005]) ).

fof(f1015,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_15
    | ~ spl0_21
    | ~ spl0_23
    | spl0_77 ),
    inference(resolution,[],[f1011,f569]) ).

fof(f1018,plain,
    ( ~ spl0_7
    | ~ spl0_15
    | ~ spl0_21
    | ~ spl0_23
    | spl0_77 ),
    inference(avatar_contradiction_clause,[],[f1015]) ).

fof(f1029,plain,
    ( c2_1(a132)
    | ~ spl0_16
    | ~ spl0_19
    | ~ spl0_119 ),
    inference(resolution,[],[f1006,f778]) ).

fof(f1032,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_19
    | spl0_76
    | ~ spl0_119 ),
    inference(forward_subsumption_resolution,[],[f1029,f564]) ).

fof(f1033,plain,
    ( ~ spl0_16
    | ~ spl0_19
    | spl0_76
    | ~ spl0_119 ),
    inference(avatar_contradiction_clause,[],[f1032]) ).

fof(f1034,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_22
    | ~ spl0_25 ),
    inference(forward_subsumption_resolution,[],[f282,f295]) ).

fof(f1035,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2) )
    | ~ spl0_18
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[],[f274,f266]) ).

fof(f1037,plain,
    ( c0_1(a132)
    | ~ spl0_21
    | ~ spl0_23
    | spl0_76 ),
    inference(resolution,[],[f1007,f564]) ).

fof(f1044,plain,
    ( ! [X2] :
        ( c3_1(X2)
        | c0_1(X2) )
    | ~ spl0_15
    | ~ spl0_38 ),
    inference(forward_subsumption_resolution,[],[f256,f350]) ).

fof(f1049,plain,
    ( ~ c1_1(a125)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_114 ),
    inference(resolution,[],[f753,f1003]) ).

fof(f1050,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_114
    | ~ spl0_115 ),
    inference(forward_subsumption_resolution,[],[f1049,f758]) ).

fof(f1051,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_114
    | ~ spl0_115 ),
    inference(avatar_contradiction_clause,[],[f1050]) ).

fof(f1052,plain,
    ( c0_1(a153)
    | ~ spl0_7
    | ~ spl0_15
    | ~ spl0_130 ),
    inference(resolution,[],[f1005,f833]) ).

fof(f1053,plain,
    ( c0_1(a134)
    | ~ spl0_7
    | ~ spl0_15
    | ~ spl0_120 ),
    inference(resolution,[],[f1005,f783]) ).

fof(f1054,plain,
    ( c0_1(a123)
    | ~ spl0_7
    | ~ spl0_15
    | ~ spl0_111 ),
    inference(resolution,[],[f1005,f738]) ).

fof(f1055,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_15
    | spl0_64
    | ~ spl0_111 ),
    inference(forward_subsumption_resolution,[],[f1054,f504]) ).

fof(f1056,plain,
    ( ~ spl0_7
    | ~ spl0_15
    | spl0_64
    | ~ spl0_111 ),
    inference(avatar_contradiction_clause,[],[f1055]) ).

fof(f1059,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_15
    | spl0_90
    | ~ spl0_130 ),
    inference(forward_subsumption_resolution,[],[f1052,f634]) ).

fof(f1060,plain,
    ( ~ spl0_7
    | ~ spl0_15
    | spl0_90
    | ~ spl0_130 ),
    inference(avatar_contradiction_clause,[],[f1059]) ).

fof(f1073,plain,
    ( c0_1(a131)
    | ~ spl0_22
    | ~ spl0_25
    | spl0_74 ),
    inference(resolution,[],[f1034,f554]) ).

fof(f1083,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_11
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[],[f287,f242]) ).

fof(f1089,plain,
    ( ~ c1_1(a136)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_151 ),
    inference(resolution,[],[f938,f1003]) ).

fof(f1090,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(forward_subsumption_resolution,[],[f1089,f943]) ).

fof(f1091,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(avatar_contradiction_clause,[],[f1090]) ).

fof(f1093,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_20
    | ~ spl0_38 ),
    inference(forward_subsumption_resolution,[],[f274,f350]) ).

fof(f1114,plain,
    ( c3_1(a124)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_113 ),
    inference(resolution,[],[f1002,f748]) ).

fof(f1115,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | spl0_65
    | ~ spl0_113 ),
    inference(forward_subsumption_resolution,[],[f1114,f509]) ).

fof(f1116,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_65
    | ~ spl0_113 ),
    inference(avatar_contradiction_clause,[],[f1115]) ).

fof(f1137,plain,
    ( c0_1(a182)
    | ~ spl0_15
    | ~ spl0_38
    | spl0_104 ),
    inference(resolution,[],[f1044,f704]) ).

fof(f1138,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_38
    | spl0_104
    | spl0_106 ),
    inference(forward_subsumption_resolution,[],[f1137,f714]) ).

fof(f1139,plain,
    ( ~ spl0_15
    | ~ spl0_38
    | spl0_104
    | spl0_106 ),
    inference(avatar_contradiction_clause,[],[f1138]) ).

fof(f1155,plain,
    ( c0_1(a131)
    | ~ spl0_11
    | ~ spl0_23
    | spl0_74 ),
    inference(resolution,[],[f1083,f554]) ).

fof(f1156,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_23
    | spl0_74
    | spl0_75 ),
    inference(forward_subsumption_resolution,[],[f1155,f559]) ).

fof(f1157,plain,
    ( ~ spl0_11
    | ~ spl0_23
    | spl0_74
    | spl0_75 ),
    inference(avatar_contradiction_clause,[],[f1156]) ).

fof(f1164,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_15
    | ~ spl0_35 ),
    inference(forward_subsumption_resolution,[],[f337,f256]) ).

fof(f1165,plain,
    ( ! [X2] :
        ( c2_1(X2)
        | c1_1(X2) )
    | ~ spl0_8
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[],[f287,f231]) ).

fof(f1170,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_4
    | ~ spl0_33 ),
    inference(forward_subsumption_resolution,[],[f329,f217]) ).

fof(f1173,plain,
    ( c3_1(a134)
    | ~ spl0_15
    | ~ spl0_35
    | ~ spl0_120 ),
    inference(resolution,[],[f1164,f783]) ).

fof(f1201,plain,
    ( ~ c0_1(a136)
    | ~ spl0_4
    | ~ spl0_33
    | ~ spl0_152 ),
    inference(resolution,[],[f1170,f943]) ).

fof(f1205,plain,
    ( ~ c0_1(a138)
    | ~ spl0_4
    | ~ spl0_33
    | ~ spl0_121 ),
    inference(resolution,[],[f1170,f788]) ).

fof(f1206,plain,
    ( ~ c0_1(a128)
    | ~ spl0_4
    | ~ spl0_33
    | ~ spl0_117 ),
    inference(resolution,[],[f1170,f768]) ).

fof(f1219,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_22
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[],[f303,f282]) ).

fof(f1239,plain,
    ( c1_1(a143)
    | ~ spl0_22
    | ~ spl0_27
    | ~ spl0_126 ),
    inference(resolution,[],[f1219,f813]) ).

fof(f1240,plain,
    ( c1_1(a142)
    | ~ spl0_22
    | ~ spl0_27
    | ~ spl0_124 ),
    inference(resolution,[],[f1219,f803]) ).

fof(f1244,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_27
    | spl0_87
    | ~ spl0_126 ),
    inference(forward_subsumption_resolution,[],[f1239,f619]) ).

fof(f1245,plain,
    ( ~ spl0_22
    | ~ spl0_27
    | spl0_87
    | ~ spl0_126 ),
    inference(avatar_contradiction_clause,[],[f1244]) ).

fof(f1258,plain,
    ( c3_1(a134)
    | ~ c1_1(a134)
    | ~ spl0_2
    | ~ spl0_120 ),
    inference(resolution,[],[f210,f783]) ).

fof(f1266,plain,
    ( c3_1(a134)
    | c0_1(a134)
    | ~ spl0_15
    | ~ spl0_120 ),
    inference(resolution,[],[f256,f783]) ).

fof(f1273,plain,
    ( c0_1(a134)
    | ~ spl0_15
    | spl0_78
    | ~ spl0_120 ),
    inference(forward_subsumption_resolution,[],[f1266,f574]) ).

fof(f1280,plain,
    ( spl0_75
    | ~ spl0_22
    | ~ spl0_25
    | spl0_74 ),
    inference(avatar_split_clause,[],[f1073,f552,f294,f281,f557]) ).

fof(f1282,plain,
    ( c1_1(a160)
    | ~ spl0_8
    | ~ spl0_23
    | spl0_94 ),
    inference(resolution,[],[f654,f1165]) ).

fof(f1283,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_23
    | spl0_94
    | spl0_95 ),
    inference(forward_subsumption_resolution,[],[f1282,f659]) ).

fof(f1284,plain,
    ( ~ spl0_8
    | ~ spl0_23
    | spl0_94
    | spl0_95 ),
    inference(avatar_contradiction_clause,[],[f1283]) ).

fof(f1326,plain,
    ( spl0_86
    | ~ spl0_22
    | ~ spl0_27
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1240,f801,f302,f281,f612]) ).

fof(f1418,plain,
    ( c2_1(a164)
    | ~ spl0_18
    | ~ spl0_20
    | ~ spl0_135 ),
    inference(resolution,[],[f1035,f858]) ).

fof(f1420,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_20
    | spl0_96
    | ~ spl0_135 ),
    inference(forward_subsumption_resolution,[],[f1418,f664]) ).

fof(f1421,plain,
    ( ~ spl0_18
    | ~ spl0_20
    | spl0_96
    | ~ spl0_135 ),
    inference(avatar_contradiction_clause,[],[f1420]) ).

fof(f1433,plain,
    ( c0_1(a155)
    | ~ spl0_20
    | ~ spl0_38
    | spl0_92 ),
    inference(resolution,[],[f1093,f644]) ).

fof(f1440,plain,
    ( c0_1(a182)
    | ~ spl0_20
    | ~ spl0_38
    | spl0_105 ),
    inference(resolution,[],[f1093,f709]) ).

fof(f1441,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_38
    | spl0_105
    | spl0_106 ),
    inference(forward_subsumption_resolution,[],[f1440,f714]) ).

fof(f1442,plain,
    ( ~ spl0_20
    | ~ spl0_38
    | spl0_105
    | spl0_106 ),
    inference(avatar_contradiction_clause,[],[f1441]) ).

fof(f1509,plain,
    ( spl0_79
    | ~ spl0_7
    | ~ spl0_15
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1053,f781,f255,f227,f577]) ).

fof(f1511,plain,
    ( spl0_79
    | ~ spl0_15
    | spl0_78
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1273,f781,f572,f255,f577]) ).

fof(f1593,plain,
    ( ~ c3_1(a122)
    | ~ c0_1(a122)
    | ~ spl0_10
    | ~ spl0_146 ),
    inference(resolution,[],[f238,f913]) ).

fof(f1598,plain,
    ( ~ c3_1(a143)
    | ~ c0_1(a143)
    | ~ spl0_10
    | ~ spl0_127 ),
    inference(resolution,[],[f238,f818]) ).

fof(f1601,plain,
    ( ~ c0_1(a143)
    | ~ spl0_10
    | ~ spl0_126
    | ~ spl0_127 ),
    inference(forward_subsumption_resolution,[],[f1598,f813]) ).

fof(f1604,plain,
    ( ~ c0_1(a122)
    | ~ spl0_10
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(forward_subsumption_resolution,[],[f1593,f908]) ).

fof(f1610,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_33
    | ~ spl0_152
    | ~ spl0_153 ),
    inference(forward_subsumption_resolution,[],[f1201,f948]) ).

fof(f1611,plain,
    ( ~ spl0_4
    | ~ spl0_33
    | ~ spl0_152
    | ~ spl0_153 ),
    inference(avatar_contradiction_clause,[],[f1610]) ).

fof(f1614,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c2_1(X2) )
    | ~ spl0_4
    | ~ spl0_21
    | ~ spl0_33 ),
    inference(forward_subsumption_resolution,[],[f278,f1170]) ).

fof(f1615,plain,
    ( spl0_77
    | ~ spl0_21
    | ~ spl0_23
    | spl0_76 ),
    inference(avatar_split_clause,[],[f1037,f562,f286,f277,f567]) ).

fof(f1618,plain,
    ( spl0_93
    | ~ spl0_20
    | ~ spl0_38
    | spl0_92 ),
    inference(avatar_split_clause,[],[f1433,f642,f349,f273,f647]) ).

fof(f1626,plain,
    ( ~ c1_1(a134)
    | ~ spl0_2
    | spl0_78
    | ~ spl0_120 ),
    inference(forward_subsumption_resolution,[],[f1258,f574]) ).

fof(f1640,plain,
    ( ~ c3_1(a136)
    | ~ c0_1(a136)
    | ~ spl0_10
    | ~ spl0_151 ),
    inference(resolution,[],[f938,f238]) ).

fof(f1641,plain,
    ( c3_1(a136)
    | ~ c1_1(a136)
    | ~ spl0_2
    | ~ spl0_151 ),
    inference(resolution,[],[f938,f210]) ).

fof(f1663,plain,
    ( c2_1(a164)
    | ~ spl0_16
    | ~ spl0_19
    | ~ spl0_135 ),
    inference(resolution,[],[f1006,f858]) ).

fof(f1667,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_19
    | spl0_96
    | ~ spl0_135 ),
    inference(forward_subsumption_resolution,[],[f1663,f664]) ).

fof(f1668,plain,
    ( ~ spl0_16
    | ~ spl0_19
    | spl0_96
    | ~ spl0_135 ),
    inference(avatar_contradiction_clause,[],[f1667]) ).

fof(f1669,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[],[f231,f245]) ).

fof(f1675,plain,
    ( c3_1(a125)
    | ~ c1_1(a125)
    | ~ spl0_2
    | ~ spl0_114 ),
    inference(resolution,[],[f753,f210]) ).

fof(f1693,plain,
    ( c3_1(a136)
    | ~ spl0_2
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(forward_subsumption_resolution,[],[f1641,f943]) ).

fof(f1696,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_21
    | ~ spl0_28 ),
    inference(forward_subsumption_resolution,[],[f306,f278]) ).

fof(f1698,plain,
    ( c3_1(a125)
    | ~ spl0_2
    | ~ spl0_114
    | ~ spl0_115 ),
    inference(forward_subsumption_resolution,[],[f1675,f758]) ).

fof(f1709,plain,
    ( c1_1(a147)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_128 ),
    inference(resolution,[],[f1669,f823]) ).

fof(f1710,plain,
    ( c1_1(a142)
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_125 ),
    inference(resolution,[],[f1669,f808]) ).

fof(f1719,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_12
    | spl0_86
    | ~ spl0_125 ),
    inference(forward_subsumption_resolution,[],[f1710,f614]) ).

fof(f1720,plain,
    ( ~ spl0_8
    | ~ spl0_12
    | spl0_86
    | ~ spl0_125 ),
    inference(avatar_contradiction_clause,[],[f1719]) ).

fof(f1756,plain,
    ( c0_1(a130)
    | ~ spl0_15
    | ~ spl0_38
    | spl0_70 ),
    inference(resolution,[],[f1044,f534]) ).

fof(f1757,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_38
    | spl0_70
    | spl0_72 ),
    inference(forward_subsumption_resolution,[],[f1756,f544]) ).

fof(f1758,plain,
    ( ~ spl0_15
    | ~ spl0_38
    | spl0_70
    | spl0_72 ),
    inference(avatar_contradiction_clause,[],[f1757]) ).

fof(f1762,plain,
    ( c3_1(a179)
    | ~ spl0_15
    | ~ spl0_35
    | ~ spl0_141 ),
    inference(resolution,[],[f1164,f888]) ).

fof(f1782,plain,
    ( c2_1(a164)
    | ~ spl0_21
    | ~ spl0_28
    | ~ spl0_136 ),
    inference(resolution,[],[f1696,f863]) ).

fof(f1783,plain,
    ( c2_1(a155)
    | ~ spl0_21
    | ~ spl0_28
    | ~ spl0_133 ),
    inference(resolution,[],[f1696,f848]) ).

fof(f1795,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_28
    | spl0_92
    | ~ spl0_133 ),
    inference(forward_subsumption_resolution,[],[f1783,f644]) ).

fof(f1796,plain,
    ( ~ spl0_21
    | ~ spl0_28
    | spl0_92
    | ~ spl0_133 ),
    inference(avatar_contradiction_clause,[],[f1795]) ).

fof(f1805,plain,
    ( ~ c3_1(a136)
    | ~ spl0_10
    | ~ spl0_151
    | ~ spl0_153 ),
    inference(forward_subsumption_resolution,[],[f1640,f948]) ).

fof(f1834,plain,
    ( spl0_89
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1709,f821,f244,f230,f627]) ).

fof(f1837,plain,
    ( spl0_78
    | ~ spl0_15
    | ~ spl0_35
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1173,f781,f336,f255,f572]) ).

fof(f1848,plain,
    ( spl0_102
    | ~ spl0_15
    | ~ spl0_35
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1762,f886,f336,f255,f692]) ).

fof(f1880,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_11
    | ~ spl0_23
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[],[f303,f1083]) ).

fof(f1915,plain,
    ( c3_1(a128)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_117 ),
    inference(resolution,[],[f1002,f768]) ).

fof(f1923,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | spl0_69
    | ~ spl0_117 ),
    inference(forward_subsumption_resolution,[],[f1915,f529]) ).

fof(f1924,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_69
    | ~ spl0_117 ),
    inference(avatar_contradiction_clause,[],[f1923]) ).

fof(f1925,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_23 ),
    inference(resolution,[],[f1083,f1002]) ).

fof(f1973,plain,
    ( c1_1(a142)
    | ~ spl0_11
    | ~ spl0_23
    | ~ spl0_27
    | ~ spl0_124 ),
    inference(resolution,[],[f1880,f803]) ).

fof(f1982,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_23
    | ~ spl0_27
    | spl0_86
    | ~ spl0_124 ),
    inference(forward_subsumption_resolution,[],[f1973,f614]) ).

fof(f1983,plain,
    ( ~ spl0_11
    | ~ spl0_23
    | ~ spl0_27
    | spl0_86
    | ~ spl0_124 ),
    inference(avatar_contradiction_clause,[],[f1982]) ).

fof(f2022,plain,
    ( ~ c1_1(a136)
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_151
    | ~ spl0_153 ),
    inference(forward_subsumption_resolution,[],[f1641,f1805]) ).

fof(f2028,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_151
    | ~ spl0_152
    | ~ spl0_153 ),
    inference(forward_subsumption_resolution,[],[f2022,f943]) ).

fof(f2029,plain,
    ( ~ spl0_2
    | ~ spl0_10
    | ~ spl0_151
    | ~ spl0_152
    | ~ spl0_153 ),
    inference(avatar_contradiction_clause,[],[f2028]) ).

fof(f2064,plain,
    ( c0_1(a153)
    | ~ c3_1(a153)
    | ~ spl0_7
    | ~ spl0_130 ),
    inference(resolution,[],[f228,f833]) ).

fof(f2067,plain,
    ( c0_1(a125)
    | ~ c3_1(a125)
    | ~ spl0_7
    | ~ spl0_114 ),
    inference(resolution,[],[f228,f753]) ).

fof(f2075,plain,
    ( c0_1(a153)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_23
    | ~ spl0_130 ),
    inference(forward_subsumption_resolution,[],[f2064,f1925]) ).

fof(f2085,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_23
    | spl0_90
    | ~ spl0_130 ),
    inference(forward_subsumption_resolution,[],[f2075,f634]) ).

fof(f2086,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_23
    | spl0_90
    | ~ spl0_130 ),
    inference(avatar_contradiction_clause,[],[f2085]) ).

fof(f2090,plain,
    ( ~ c3_1(a125)
    | ~ spl0_7
    | spl0_66
    | ~ spl0_114 ),
    inference(forward_subsumption_resolution,[],[f2067,f514]) ).

fof(f2091,plain,
    ( ~ c3_1(a153)
    | ~ spl0_7
    | spl0_90
    | ~ spl0_130 ),
    inference(forward_subsumption_resolution,[],[f2064,f634]) ).

fof(f2097,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_7
    | spl0_66
    | ~ spl0_114
    | ~ spl0_115 ),
    inference(forward_subsumption_resolution,[],[f2090,f1698]) ).

fof(f2098,plain,
    ( ~ spl0_2
    | ~ spl0_7
    | spl0_66
    | ~ spl0_114
    | ~ spl0_115 ),
    inference(avatar_contradiction_clause,[],[f2097]) ).

fof(f2130,plain,
    ( c2_1(a176)
    | c1_1(a176)
    | ~ spl0_8
    | ~ spl0_140 ),
    inference(resolution,[],[f231,f883]) ).

fof(f2161,plain,
    ( c1_1(a143)
    | c0_1(a143)
    | ~ spl0_11
    | ~ spl0_127 ),
    inference(resolution,[],[f242,f818]) ).

fof(f2162,plain,
    ( c1_1(a134)
    | c0_1(a134)
    | ~ spl0_11
    | ~ spl0_120 ),
    inference(resolution,[],[f242,f783]) ).

fof(f2164,plain,
    ( c1_1(a123)
    | c0_1(a123)
    | ~ spl0_11
    | ~ spl0_111 ),
    inference(resolution,[],[f242,f738]) ).

fof(f2167,plain,
    ( c0_1(a143)
    | ~ spl0_11
    | spl0_87
    | ~ spl0_127 ),
    inference(forward_subsumption_resolution,[],[f2161,f619]) ).

fof(f2176,plain,
    ( c2_1(a160)
    | c1_1(a160)
    | ~ spl0_16
    | ~ spl0_134 ),
    inference(resolution,[],[f259,f853]) ).

fof(f2190,plain,
    ( c1_1(a160)
    | ~ spl0_16
    | spl0_94
    | ~ spl0_134 ),
    inference(forward_subsumption_resolution,[],[f2176,f654]) ).

fof(f2192,plain,
    ( $false
    | ~ spl0_16
    | spl0_94
    | spl0_95
    | ~ spl0_134 ),
    inference(forward_subsumption_resolution,[],[f2190,f659]) ).

fof(f2193,plain,
    ( ~ spl0_16
    | spl0_94
    | spl0_95
    | ~ spl0_134 ),
    inference(avatar_contradiction_clause,[],[f2192]) ).

fof(f2194,plain,
    ( c0_1(a123)
    | ~ spl0_11
    | spl0_63
    | ~ spl0_111 ),
    inference(forward_subsumption_resolution,[],[f2164,f499]) ).

fof(f2195,plain,
    ( $false
    | ~ spl0_11
    | spl0_63
    | spl0_64
    | ~ spl0_111 ),
    inference(forward_subsumption_resolution,[],[f2194,f504]) ).

fof(f2196,plain,
    ( ~ spl0_11
    | spl0_63
    | spl0_64
    | ~ spl0_111 ),
    inference(avatar_contradiction_clause,[],[f2195]) ).

fof(f2198,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_11
    | spl0_87
    | ~ spl0_126
    | ~ spl0_127 ),
    inference(forward_subsumption_resolution,[],[f1601,f2167]) ).

fof(f2199,plain,
    ( ~ spl0_10
    | ~ spl0_11
    | spl0_87
    | ~ spl0_126
    | ~ spl0_127 ),
    inference(avatar_contradiction_clause,[],[f2198]) ).

fof(f2200,plain,
    ( ~ spl0_147
    | ~ spl0_10
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1604,f911,f906,f237,f916]) ).

fof(f2213,plain,
    ( c1_1(a143)
    | ~ c3_1(a143)
    | ~ spl0_1
    | ~ spl0_127 ),
    inference(resolution,[],[f207,f818]) ).

fof(f2218,plain,
    ( ~ c3_1(a143)
    | ~ spl0_1
    | spl0_87
    | ~ spl0_127 ),
    inference(forward_subsumption_resolution,[],[f2213,f619]) ).

fof(f2222,plain,
    ( $false
    | ~ spl0_1
    | spl0_87
    | ~ spl0_126
    | ~ spl0_127 ),
    inference(forward_subsumption_resolution,[],[f2218,f813]) ).

fof(f2223,plain,
    ( ~ spl0_1
    | spl0_87
    | ~ spl0_126
    | ~ spl0_127 ),
    inference(avatar_contradiction_clause,[],[f2222]) ).

fof(f2224,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[],[f270,f1002]) ).

fof(f2258,plain,
    ( c0_1(a134)
    | ~ spl0_2
    | ~ spl0_11
    | spl0_78
    | ~ spl0_120 ),
    inference(forward_subsumption_resolution,[],[f2162,f1626]) ).

fof(f2261,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_11
    | spl0_78
    | spl0_79
    | ~ spl0_120 ),
    inference(forward_subsumption_resolution,[],[f2258,f579]) ).

fof(f2262,plain,
    ( ~ spl0_2
    | ~ spl0_11
    | spl0_78
    | spl0_79
    | ~ spl0_120 ),
    inference(avatar_contradiction_clause,[],[f2261]) ).

fof(f2270,plain,
    ( c2_1(a164)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_19
    | ~ spl0_136 ),
    inference(resolution,[],[f2224,f863]) ).

fof(f2273,plain,
    ( c2_1(a138)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_19
    | ~ spl0_121 ),
    inference(resolution,[],[f2224,f788]) ).

fof(f2280,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_19
    | spl0_80
    | ~ spl0_121 ),
    inference(forward_subsumption_resolution,[],[f2273,f584]) ).

fof(f2281,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_19
    | spl0_80
    | ~ spl0_121 ),
    inference(avatar_contradiction_clause,[],[f2280]) ).

fof(f2284,plain,
    ( spl0_96
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_19
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f2270,f861,f269,f220,f209,f662]) ).

fof(f2338,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[],[f245,f262]) ).

fof(f2406,plain,
    ( ~ c0_1(a136)
    | ~ spl0_12
    | ~ spl0_17
    | ~ spl0_151 ),
    inference(resolution,[],[f2338,f938]) ).

fof(f2414,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_17
    | ~ spl0_151
    | ~ spl0_153 ),
    inference(forward_subsumption_resolution,[],[f2406,f948]) ).

fof(f2415,plain,
    ( ~ spl0_12
    | ~ spl0_17
    | ~ spl0_151
    | ~ spl0_153 ),
    inference(avatar_contradiction_clause,[],[f2414]) ).

fof(f2418,plain,
    ( ~ spl0_129
    | ~ spl0_7
    | spl0_90
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f2091,f831,f632,f227,f826]) ).

fof(f2419,plain,
    ( ! [X2] :
        ( ~ c1_1(X2)
        | c0_1(X2) )
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[],[f249,f278]) ).

fof(f2425,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_28
    | spl0_96
    | ~ spl0_136 ),
    inference(forward_subsumption_resolution,[],[f1782,f664]) ).

fof(f2426,plain,
    ( ~ spl0_21
    | ~ spl0_28
    | spl0_96
    | ~ spl0_136 ),
    inference(avatar_contradiction_clause,[],[f2425]) ).

fof(f2472,plain,
    ( ~ c0_1(a133)
    | ~ c1_1(a133)
    | ~ spl0_4
    | ~ spl0_148 ),
    inference(resolution,[],[f217,f923]) ).

fof(f2473,plain,
    ( ~ c0_1(a122)
    | ~ c1_1(a122)
    | ~ spl0_4
    | ~ spl0_145 ),
    inference(resolution,[],[f217,f908]) ).

fof(f2481,plain,
    ( ~ c1_1(a122)
    | ~ spl0_4
    | ~ spl0_145
    | ~ spl0_147 ),
    inference(forward_subsumption_resolution,[],[f2473,f918]) ).

fof(f2482,plain,
    ( ~ c0_1(a133)
    | ~ spl0_4
    | ~ spl0_148
    | ~ spl0_150 ),
    inference(forward_subsumption_resolution,[],[f2472,f933]) ).

fof(f2488,plain,
    ( c1_1(a122)
    | ~ c0_1(a122)
    | ~ spl0_12
    | ~ spl0_146 ),
    inference(resolution,[],[f245,f913]) ).

fof(f2505,plain,
    ( ~ c0_1(a122)
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_145
    | ~ spl0_146
    | ~ spl0_147 ),
    inference(forward_subsumption_resolution,[],[f2488,f2481]) ).

fof(f2512,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_145
    | ~ spl0_146
    | ~ spl0_147 ),
    inference(forward_subsumption_resolution,[],[f2505,f918]) ).

fof(f2513,plain,
    ( ~ spl0_4
    | ~ spl0_12
    | ~ spl0_145
    | ~ spl0_146
    | ~ spl0_147 ),
    inference(avatar_contradiction_clause,[],[f2512]) ).

fof(f2515,plain,
    ( c0_1(a133)
    | ~ c1_1(a133)
    | ~ spl0_13
    | ~ spl0_149 ),
    inference(resolution,[],[f249,f928]) ).

fof(f2526,plain,
    ( ~ c1_1(a133)
    | ~ spl0_4
    | ~ spl0_13
    | ~ spl0_148
    | ~ spl0_149
    | ~ spl0_150 ),
    inference(forward_subsumption_resolution,[],[f2515,f2482]) ).

fof(f2529,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_13
    | ~ spl0_148
    | ~ spl0_149
    | ~ spl0_150 ),
    inference(forward_subsumption_resolution,[],[f2526,f933]) ).

fof(f2530,plain,
    ( ~ spl0_4
    | ~ spl0_13
    | ~ spl0_148
    | ~ spl0_149
    | ~ spl0_150 ),
    inference(avatar_contradiction_clause,[],[f2529]) ).

fof(f2541,plain,
    ( ~ c0_1(a136)
    | ~ c1_1(a136)
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(resolution,[],[f1693,f217]) ).

fof(f2543,plain,
    ( ~ c1_1(a136)
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_151
    | ~ spl0_152
    | ~ spl0_153 ),
    inference(forward_subsumption_resolution,[],[f2541,f948]) ).

fof(f2544,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_151
    | ~ spl0_152
    | ~ spl0_153 ),
    inference(forward_subsumption_resolution,[],[f2543,f943]) ).

fof(f2545,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | ~ spl0_151
    | ~ spl0_152
    | ~ spl0_153 ),
    inference(avatar_contradiction_clause,[],[f2544]) ).

fof(f2549,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[],[f224,f207]) ).

fof(f2557,plain,
    ( ~ spl0_122
    | ~ spl0_4
    | ~ spl0_33
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1205,f786,f328,f216,f791]) ).

fof(f2558,plain,
    ( ~ spl0_118
    | ~ spl0_4
    | ~ spl0_33
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1206,f766,f328,f216,f771]) ).

fof(f2563,plain,
    ( ~ c0_1(a164)
    | ~ c1_1(a164)
    | ~ spl0_4
    | ~ spl0_135 ),
    inference(resolution,[],[f858,f217]) ).

fof(f2593,plain,
    ( c2_1(a155)
    | ~ spl0_4
    | ~ spl0_21
    | ~ spl0_33
    | ~ spl0_133 ),
    inference(resolution,[],[f1614,f848]) ).

fof(f2603,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_21
    | ~ spl0_33
    | spl0_92
    | ~ spl0_133 ),
    inference(forward_subsumption_resolution,[],[f2593,f644]) ).

fof(f2604,plain,
    ( ~ spl0_4
    | ~ spl0_21
    | ~ spl0_33
    | spl0_92
    | ~ spl0_133 ),
    inference(avatar_contradiction_clause,[],[f2603]) ).

fof(f2612,plain,
    ( ~ c0_1(a164)
    | ~ spl0_4
    | ~ spl0_135
    | ~ spl0_136 ),
    inference(forward_subsumption_resolution,[],[f2563,f863]) ).

fof(f2615,plain,
    ( ~ c3_1(a122)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_146 ),
    inference(resolution,[],[f2549,f913]) ).

fof(f2617,plain,
    ( ~ c3_1(a153)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_130 ),
    inference(resolution,[],[f2549,f833]) ).

fof(f2620,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(forward_subsumption_resolution,[],[f2617,f828]) ).

fof(f2621,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(avatar_contradiction_clause,[],[f2620]) ).

fof(f2622,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(forward_subsumption_resolution,[],[f2615,f908]) ).

fof(f2623,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(avatar_contradiction_clause,[],[f2622]) ).

fof(f2671,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1) )
    | ~ spl0_4
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[],[f303,f217]) ).

fof(f2723,plain,
    ( ~ c0_1(a142)
    | ~ spl0_4
    | ~ spl0_27
    | ~ spl0_124 ),
    inference(resolution,[],[f2671,f803]) ).

fof(f2725,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_27
    | ~ spl0_124
    | ~ spl0_125 ),
    inference(forward_subsumption_resolution,[],[f2723,f808]) ).

fof(f2726,plain,
    ( ~ spl0_4
    | ~ spl0_27
    | ~ spl0_124
    | ~ spl0_125 ),
    inference(avatar_contradiction_clause,[],[f2725]) ).

fof(f2729,plain,
    ( ! [X1] :
        ( c3_1(X1)
        | c1_1(X1) )
    | ~ spl0_14
    | ~ spl0_40 ),
    inference(forward_subsumption_resolution,[],[f361,f252]) ).

fof(f2743,plain,
    ( c1_1(a141)
    | ~ spl0_14
    | ~ spl0_40
    | spl0_83 ),
    inference(resolution,[],[f2729,f599]) ).

fof(f2746,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_40
    | spl0_83
    | spl0_85 ),
    inference(forward_subsumption_resolution,[],[f2743,f609]) ).

fof(f2747,plain,
    ( ~ spl0_14
    | ~ spl0_40
    | spl0_83
    | spl0_85 ),
    inference(avatar_contradiction_clause,[],[f2746]) ).

fof(f2760,plain,
    ( c3_1(a127)
    | c2_1(a127)
    | ~ spl0_5
    | ~ spl0_116 ),
    inference(resolution,[],[f221,f763]) ).

fof(f2765,plain,
    ( c2_1(a127)
    | ~ spl0_5
    | spl0_67
    | ~ spl0_116 ),
    inference(forward_subsumption_resolution,[],[f2760,f519]) ).

fof(f2771,plain,
    ( $false
    | ~ spl0_5
    | spl0_67
    | spl0_68
    | ~ spl0_116 ),
    inference(forward_subsumption_resolution,[],[f2765,f524]) ).

fof(f2772,plain,
    ( ~ spl0_5
    | spl0_67
    | spl0_68
    | ~ spl0_116 ),
    inference(avatar_contradiction_clause,[],[f2771]) ).

fof(f2791,plain,
    ( c0_1(a164)
    | ~ spl0_13
    | ~ spl0_21
    | ~ spl0_136 ),
    inference(resolution,[],[f2419,f863]) ).

fof(f2792,plain,
    ( c0_1(a155)
    | ~ spl0_13
    | ~ spl0_21
    | ~ spl0_133 ),
    inference(resolution,[],[f2419,f848]) ).

fof(f2807,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_21
    | spl0_93
    | ~ spl0_133 ),
    inference(forward_subsumption_resolution,[],[f2792,f649]) ).

fof(f2808,plain,
    ( ~ spl0_13
    | ~ spl0_21
    | spl0_93
    | ~ spl0_133 ),
    inference(avatar_contradiction_clause,[],[f2807]) ).

fof(f2809,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_13
    | ~ spl0_21
    | ~ spl0_135
    | ~ spl0_136 ),
    inference(forward_subsumption_resolution,[],[f2791,f2612]) ).

fof(f2810,plain,
    ( ~ spl0_4
    | ~ spl0_13
    | ~ spl0_21
    | ~ spl0_135
    | ~ spl0_136 ),
    inference(avatar_contradiction_clause,[],[f2809]) ).

fof(f2817,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_6
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[],[f270,f224]) ).

fof(f2819,plain,
    ( ~ c1_1(a164)
    | ~ spl0_6
    | ~ spl0_19
    | ~ spl0_135 ),
    inference(resolution,[],[f2817,f858]) ).

fof(f2831,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_19
    | ~ spl0_135
    | ~ spl0_136 ),
    inference(forward_subsumption_resolution,[],[f2819,f863]) ).

fof(f2832,plain,
    ( ~ spl0_6
    | ~ spl0_19
    | ~ spl0_135
    | ~ spl0_136 ),
    inference(avatar_contradiction_clause,[],[f2831]) ).

fof(f2833,plain,
    ( c1_1(a176)
    | ~ spl0_8
    | spl0_100
    | ~ spl0_140 ),
    inference(forward_subsumption_resolution,[],[f2130,f684]) ).

fof(f2863,plain,
    ( $false
    | ~ spl0_8
    | spl0_100
    | spl0_101
    | ~ spl0_140 ),
    inference(forward_subsumption_resolution,[],[f2833,f689]) ).

fof(f2864,plain,
    ( ~ spl0_8
    | spl0_100
    | spl0_101
    | ~ spl0_140 ),
    inference(avatar_contradiction_clause,[],[f2863]) ).

fof(f2901,plain,
    ( ~ c3_1(a133)
    | ~ c1_1(a133)
    | ~ spl0_6
    | ~ spl0_149 ),
    inference(resolution,[],[f224,f928]) ).

fof(f2915,plain,
    ( ~ c1_1(a133)
    | ~ spl0_6
    | ~ spl0_148
    | ~ spl0_149 ),
    inference(forward_subsumption_resolution,[],[f2901,f923]) ).

fof(f2919,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_148
    | ~ spl0_149
    | ~ spl0_150 ),
    inference(forward_subsumption_resolution,[],[f2915,f933]) ).

fof(f2920,plain,
    ( ~ spl0_6
    | ~ spl0_148
    | ~ spl0_149
    | ~ spl0_150 ),
    inference(avatar_contradiction_clause,[],[f2919]) ).

fof(f3018,plain,
    ( c2_1(a164)
    | c0_1(a164)
    | ~ spl0_20
    | ~ spl0_135 ),
    inference(resolution,[],[f274,f858]) ).

fof(f3024,plain,
    ( c2_1(a132)
    | c0_1(a132)
    | ~ spl0_20
    | ~ spl0_119 ),
    inference(resolution,[],[f274,f778]) ).

fof(f3027,plain,
    ( c0_1(a132)
    | ~ spl0_20
    | spl0_76
    | ~ spl0_119 ),
    inference(forward_subsumption_resolution,[],[f3024,f564]) ).

fof(f3029,plain,
    ( c0_1(a164)
    | ~ spl0_20
    | spl0_96
    | ~ spl0_135 ),
    inference(forward_subsumption_resolution,[],[f3018,f664]) ).

fof(f3034,plain,
    ( $false
    | ~ spl0_20
    | spl0_76
    | spl0_77
    | ~ spl0_119 ),
    inference(forward_subsumption_resolution,[],[f3027,f569]) ).

fof(f3035,plain,
    ( ~ spl0_20
    | spl0_76
    | spl0_77
    | ~ spl0_119 ),
    inference(avatar_contradiction_clause,[],[f3034]) ).

fof(f3036,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_20
    | spl0_96
    | ~ spl0_135
    | ~ spl0_136 ),
    inference(forward_subsumption_resolution,[],[f3029,f2612]) ).

fof(f3037,plain,
    ( ~ spl0_4
    | ~ spl0_20
    | spl0_96
    | ~ spl0_135
    | ~ spl0_136 ),
    inference(avatar_contradiction_clause,[],[f3036]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f218]) ).

cnf(s2,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_5
    | spl0_6 ),
    inference(sat_conversion,[],[f225]) ).

cnf(s3,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_7
    | spl0_8 ),
    inference(sat_conversion,[],[f232]) ).

cnf(s5,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_11
    | spl0_12 ),
    inference(sat_conversion,[],[f246]) ).

cnf(s6,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_13
    | spl0_14 ),
    inference(sat_conversion,[],[f253]) ).

cnf(s7,plain,
    ( ~ spl0_3
    | spl0_15
    | spl0_16
    | spl0_17 ),
    inference(sat_conversion,[],[f263]) ).

cnf(s8,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_16
    | spl0_18 ),
    inference(sat_conversion,[],[f267]) ).

cnf(s9,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_15
    | spl0_19 ),
    inference(sat_conversion,[],[f271]) ).

cnf(s10,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_13
    | spl0_20 ),
    inference(sat_conversion,[],[f275]) ).

cnf(s12,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_16
    | spl0_22 ),
    inference(sat_conversion,[],[f283]) ).

cnf(s13,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_21
    | spl0_22 ),
    inference(sat_conversion,[],[f284]) ).

cnf(s15,plain,
    ( ~ spl0_3
    | spl0_20
    | spl0_21
    | spl0_23 ),
    inference(sat_conversion,[],[f292]) ).

cnf(s16,plain,
    ( ~ spl0_3
    | spl0_19
    | spl0_23
    | spl0_25 ),
    inference(sat_conversion,[],[f296]) ).

cnf(s17,plain,
    ( ~ spl0_3
    | spl0_26
    | spl0_27
    | spl0_28 ),
    inference(sat_conversion,[],[f307]) ).

cnf(s18,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_16
    | spl0_29 ),
    inference(sat_conversion,[],[f312]) ).

cnf(s20,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_17
    | spl0_31 ),
    inference(sat_conversion,[],[f322]) ).

cnf(s22,plain,
    ( ~ spl0_3
    | spl0_20
    | spl0_34
    | spl0_35 ),
    inference(sat_conversion,[],[f338]) ).

cnf(s23,plain,
    ( ~ spl0_3
    | spl0_21
    | spl0_33
    | spl0_36 ),
    inference(sat_conversion,[],[f343]) ).

cnf(s24,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_37
    | spl0_38 ),
    inference(sat_conversion,[],[f351]) ).

cnf(s25,plain,
    ( ~ spl0_3
    | spl0_22
    | spl0_26
    | spl0_28 ),
    inference(sat_conversion,[],[f352]) ).

cnf(s28,plain,
    ( ~ spl0_3
    | spl0_33
    | spl0_34
    | spl0_40 ),
    inference(sat_conversion,[],[f362]) ).

cnf(s29,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_20
    | spl0_41 ),
    inference(sat_conversion,[],[f367]) ).

cnf(s30,plain,
    ( ~ spl0_3
    | spl0_15
    | spl0_20
    | spl0_42 ),
    inference(sat_conversion,[],[f372]) ).

cnf(s31,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_21
    | spl0_43 ),
    inference(sat_conversion,[],[f377]) ).

cnf(s32,plain,
    ( ~ spl0_3
    | spl0_20
    | spl0_21
    | spl0_34 ),
    inference(sat_conversion,[],[f378]) ).

cnf(s33,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_21
    | spl0_44 ),
    inference(sat_conversion,[],[f383]) ).

cnf(s34,plain,
    ( ~ spl0_3
    | spl0_23
    | spl0_33
    | spl0_45 ),
    inference(sat_conversion,[],[f388]) ).

cnf(s36,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_23
    | spl0_47 ),
    inference(sat_conversion,[],[f398]) ).

cnf(s37,plain,
    ( ~ spl0_3
    | spl0_15
    | spl0_23
    | spl0_39 ),
    inference(sat_conversion,[],[f399]) ).

cnf(s38,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_43
    | spl0_46 ),
    inference(sat_conversion,[],[f400]) ).

cnf(s39,plain,
    ( ~ spl0_3
    | spl0_6
    | spl0_32
    | spl0_37 ),
    inference(sat_conversion,[],[f401]) ).

cnf(s40,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_48
    | spl0_49 ),
    inference(sat_conversion,[],[f410]) ).

cnf(s44,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_39
    | spl0_48 ),
    inference(sat_conversion,[],[f430]) ).

cnf(s46,plain,
    ( ~ spl0_3
    | spl0_33
    | spl0_34
    | spl0_55 ),
    inference(sat_conversion,[],[f440]) ).

cnf(s47,plain,
    ( ~ spl0_3
    | spl0_19
    | spl0_43
    | spl0_56 ),
    inference(sat_conversion,[],[f445]) ).

cnf(s48,plain,
    ( ~ spl0_3
    | spl0_19
    | spl0_54
    | spl0_57 ),
    inference(sat_conversion,[],[f450]) ).

cnf(s49,plain,
    ( ~ spl0_3
    | spl0_19
    | spl0_43
    | spl0_57 ),
    inference(sat_conversion,[],[f451]) ).

cnf(s51,plain,
    ( ~ spl0_3
    | spl0_18
    | spl0_45
    | spl0_46 ),
    inference(sat_conversion,[],[f453]) ).

cnf(s54,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_37
    | spl0_53 ),
    inference(sat_conversion,[],[f460]) ).

cnf(s55,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_26
    | spl0_51 ),
    inference(sat_conversion,[],[f461]) ).

cnf(s56,plain,
    ( ~ spl0_3
    | spl0_26
    | spl0_27
    | spl0_47 ),
    inference(sat_conversion,[],[f462]) ).

cnf(s57,plain,
    ( ~ spl0_3
    | spl0_27
    | spl0_46
    | spl0_56 ),
    inference(sat_conversion,[],[f463]) ).

cnf(s59,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_47
    | spl0_58 ),
    inference(sat_conversion,[],[f469]) ).

cnf(s60,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_26
    | spl0_41 ),
    inference(sat_conversion,[],[f470]) ).

cnf(s62,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_51 ),
    inference(sat_conversion,[],[f475]) ).

cnf(s63,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_54
    | spl0_56 ),
    inference(sat_conversion,[],[f476]) ).

cnf(s65,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_48
    | spl0_57 ),
    inference(sat_conversion,[],[f486]) ).

cnf(s68,plain,
    ( ~ spl0_3
    | spl0_21
    | spl0_36
    | spl0_46 ),
    inference(sat_conversion,[],[f489]) ).

cnf(s73,plain,
    ( ~ spl0_3
    | spl0_26
    | spl0_38
    | spl0_41 ),
    inference(sat_conversion,[],[f494]) ).

cnf(s74,plain,
    ( ~ spl0_3
    | spl0_23
    | spl0_45
    | spl0_49 ),
    inference(sat_conversion,[],[f495]) ).

cnf(s75,plain,
    ( ~ spl0_47
    | ~ spl0_63 ),
    inference(sat_conversion,[],[f500]) ).

cnf(s76,plain,
    ( ~ spl0_47
    | ~ spl0_64 ),
    inference(sat_conversion,[],[f505]) ).

cnf(s77,plain,
    ( ~ spl0_45
    | ~ spl0_65 ),
    inference(sat_conversion,[],[f510]) ).

cnf(s78,plain,
    ( ~ spl0_49
    | ~ spl0_66 ),
    inference(sat_conversion,[],[f515]) ).

cnf(s79,plain,
    ( ~ spl0_46
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f520]) ).

cnf(s80,plain,
    ( ~ spl0_46
    | ~ spl0_68 ),
    inference(sat_conversion,[],[f525]) ).

cnf(s81,plain,
    ( ~ spl0_44
    | ~ spl0_69 ),
    inference(sat_conversion,[],[f530]) ).

cnf(s82,plain,
    ( ~ spl0_31
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f535]) ).

cnf(s84,plain,
    ( ~ spl0_31
    | ~ spl0_72 ),
    inference(sat_conversion,[],[f545]) ).

cnf(s86,plain,
    ( ~ spl0_29
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f555]) ).

cnf(s87,plain,
    ( ~ spl0_29
    | ~ spl0_75 ),
    inference(sat_conversion,[],[f560]) ).

cnf(s88,plain,
    ( ~ spl0_26
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f565]) ).

cnf(s89,plain,
    ( ~ spl0_26
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f570]) ).

cnf(s90,plain,
    ( ~ spl0_37
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f575]) ).

cnf(s91,plain,
    ( ~ spl0_37
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f580]) ).

cnf(s92,plain,
    ( ~ spl0_32
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f585]) ).

cnf(s95,plain,
    ( ~ spl0_55
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f600]) ).

cnf(s97,plain,
    ( ~ spl0_55
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f610]) ).

cnf(s98,plain,
    ( ~ spl0_34
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f615]) ).

cnf(s99,plain,
    ( ~ spl0_43
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f620]) ).

cnf(s101,plain,
    ( ~ spl0_42
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f630]) ).

cnf(s102,plain,
    ( ~ spl0_56
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f635]) ).

cnf(s104,plain,
    ( ~ spl0_57
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f645]) ).

cnf(s105,plain,
    ( ~ spl0_57
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f650]) ).

cnf(s106,plain,
    ( ~ spl0_58
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f655]) ).

cnf(s107,plain,
    ( ~ spl0_58
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f660]) ).

cnf(s108,plain,
    ( ~ spl0_48
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f665]) ).

cnf(s112,plain,
    ( ~ spl0_51
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f685]) ).

cnf(s113,plain,
    ( ~ spl0_51
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f690]) ).

cnf(s114,plain,
    ( ~ spl0_53
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f695]) ).

cnf(s116,plain,
    ( ~ spl0_54
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f705]) ).

cnf(s117,plain,
    ( ~ spl0_54
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f710]) ).

cnf(s118,plain,
    ( ~ spl0_54
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f715]) ).

cnf(s122,plain,
    ( ~ spl0_47
    | spl0_111 ),
    inference(sat_conversion,[],[f739]) ).

cnf(s124,plain,
    ( ~ spl0_45
    | spl0_113 ),
    inference(sat_conversion,[],[f749]) ).

cnf(s125,plain,
    ( ~ spl0_49
    | spl0_114 ),
    inference(sat_conversion,[],[f754]) ).

cnf(s126,plain,
    ( ~ spl0_49
    | spl0_115 ),
    inference(sat_conversion,[],[f759]) ).

cnf(s127,plain,
    ( ~ spl0_46
    | spl0_116 ),
    inference(sat_conversion,[],[f764]) ).

cnf(s128,plain,
    ( ~ spl0_44
    | spl0_117 ),
    inference(sat_conversion,[],[f769]) ).

cnf(s129,plain,
    ( ~ spl0_44
    | spl0_118 ),
    inference(sat_conversion,[],[f774]) ).

cnf(s130,plain,
    ( ~ spl0_26
    | spl0_119 ),
    inference(sat_conversion,[],[f779]) ).

cnf(s131,plain,
    ( ~ spl0_37
    | spl0_120 ),
    inference(sat_conversion,[],[f784]) ).

cnf(s132,plain,
    ( ~ spl0_32
    | spl0_121 ),
    inference(sat_conversion,[],[f789]) ).

cnf(s133,plain,
    ( ~ spl0_32
    | spl0_122 ),
    inference(sat_conversion,[],[f794]) ).

cnf(s135,plain,
    ( ~ spl0_34
    | spl0_124 ),
    inference(sat_conversion,[],[f804]) ).

cnf(s136,plain,
    ( ~ spl0_34
    | spl0_125 ),
    inference(sat_conversion,[],[f809]) ).

cnf(s137,plain,
    ( ~ spl0_43
    | spl0_126 ),
    inference(sat_conversion,[],[f814]) ).

cnf(s138,plain,
    ( ~ spl0_43
    | spl0_127 ),
    inference(sat_conversion,[],[f819]) ).

cnf(s139,plain,
    ( ~ spl0_42
    | spl0_128 ),
    inference(sat_conversion,[],[f824]) ).

cnf(s140,plain,
    ( ~ spl0_56
    | spl0_129 ),
    inference(sat_conversion,[],[f829]) ).

cnf(s141,plain,
    ( ~ spl0_56
    | spl0_130 ),
    inference(sat_conversion,[],[f834]) ).

cnf(s144,plain,
    ( ~ spl0_57
    | spl0_133 ),
    inference(sat_conversion,[],[f849]) ).

cnf(s145,plain,
    ( ~ spl0_58
    | spl0_134 ),
    inference(sat_conversion,[],[f854]) ).

cnf(s146,plain,
    ( ~ spl0_48
    | spl0_135 ),
    inference(sat_conversion,[],[f859]) ).

cnf(s147,plain,
    ( ~ spl0_48
    | spl0_136 ),
    inference(sat_conversion,[],[f864]) ).

cnf(s151,plain,
    ( ~ spl0_51
    | spl0_140 ),
    inference(sat_conversion,[],[f884]) ).

cnf(s152,plain,
    ( ~ spl0_53
    | spl0_141 ),
    inference(sat_conversion,[],[f889]) ).

cnf(s156,plain,
    ( ~ spl0_39
    | spl0_145 ),
    inference(sat_conversion,[],[f909]) ).

cnf(s157,plain,
    ( ~ spl0_39
    | spl0_146 ),
    inference(sat_conversion,[],[f914]) ).

cnf(s158,plain,
    ( ~ spl0_39
    | spl0_147 ),
    inference(sat_conversion,[],[f919]) ).

cnf(s159,plain,
    ( ~ spl0_36
    | spl0_148 ),
    inference(sat_conversion,[],[f924]) ).

cnf(s160,plain,
    ( ~ spl0_36
    | spl0_149 ),
    inference(sat_conversion,[],[f929]) ).

cnf(s161,plain,
    ( ~ spl0_36
    | spl0_150 ),
    inference(sat_conversion,[],[f934]) ).

cnf(s162,plain,
    ( ~ spl0_41
    | spl0_151 ),
    inference(sat_conversion,[],[f939]) ).

cnf(s163,plain,
    ( ~ spl0_41
    | spl0_152 ),
    inference(sat_conversion,[],[f944]) ).

cnf(s164,plain,
    ( ~ spl0_41
    | spl0_153 ),
    inference(sat_conversion,[],[f949]) ).

cnf(s169,plain,
    ( spl0_34
    | spl0_43
    | spl0_48 ),
    inference(sat_conversion,[],[f966]) ).

cnf(s172,plain,
    ( spl0_39
    | spl0_46
    | spl0_56 ),
    inference(sat_conversion,[],[f969]) ).

cnf(s177,plain,
    ( spl0_3
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f974]) ).

cnf(s189,plain,
    ( spl0_3
    | ~ spl0_56 ),
    inference(sat_conversion,[],[f986]) ).

cnf(s201,plain,
    ( spl0_3
    | ~ spl0_39 ),
    inference(sat_conversion,[],[f998]) ).

cnf(s206,plain,
    ( ~ spl0_7
    | ~ spl0_15
    | ~ spl0_21
    | ~ spl0_23
    | spl0_77 ),
    inference(sat_conversion,[],[f1018]) ).

cnf(s211,plain,
    ( ~ spl0_16
    | ~ spl0_19
    | spl0_76
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f1033]) ).

cnf(s215,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_114
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f1051]) ).

cnf(s216,plain,
    ( ~ spl0_7
    | ~ spl0_15
    | spl0_64
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f1056]) ).

cnf(s218,plain,
    ( ~ spl0_7
    | ~ spl0_15
    | spl0_90
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f1060]) ).

cnf(s224,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f1091]) ).

cnf(s231,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_65
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f1116]) ).

cnf(s235,plain,
    ( ~ spl0_15
    | ~ spl0_38
    | spl0_104
    | spl0_106 ),
    inference(sat_conversion,[],[f1139]) ).

cnf(s240,plain,
    ( ~ spl0_11
    | ~ spl0_23
    | spl0_74
    | spl0_75 ),
    inference(sat_conversion,[],[f1157]) ).

cnf(s254,plain,
    ( ~ spl0_22
    | ~ spl0_27
    | spl0_87
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f1245]) ).

cnf(s263,plain,
    ( ~ spl0_22
    | ~ spl0_25
    | spl0_74
    | spl0_75 ),
    inference(sat_conversion,[],[f1280]) ).

cnf(s264,plain,
    ( ~ spl0_8
    | ~ spl0_23
    | spl0_94
    | spl0_95 ),
    inference(sat_conversion,[],[f1284]) ).

cnf(s270,plain,
    ( ~ spl0_22
    | ~ spl0_27
    | spl0_86
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f1326]) ).

cnf(s294,plain,
    ( ~ spl0_18
    | ~ spl0_20
    | spl0_96
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f1421]) ).

cnf(s295,plain,
    ( ~ spl0_20
    | ~ spl0_38
    | spl0_105
    | spl0_106 ),
    inference(sat_conversion,[],[f1442]) ).

cnf(s326,plain,
    ( ~ spl0_7
    | ~ spl0_15
    | spl0_79
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f1509]) ).

cnf(s327,plain,
    ( ~ spl0_15
    | spl0_78
    | spl0_79
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f1511]) ).

cnf(s348,plain,
    ( ~ spl0_4
    | ~ spl0_33
    | ~ spl0_152
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f1611]) ).

cnf(s350,plain,
    ( ~ spl0_21
    | ~ spl0_23
    | spl0_76
    | spl0_77 ),
    inference(sat_conversion,[],[f1615]) ).

cnf(s351,plain,
    ( ~ spl0_20
    | ~ spl0_38
    | spl0_92
    | spl0_93 ),
    inference(sat_conversion,[],[f1618]) ).

cnf(s363,plain,
    ( ~ spl0_16
    | ~ spl0_19
    | spl0_96
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f1668]) ).

cnf(s374,plain,
    ( ~ spl0_8
    | ~ spl0_12
    | spl0_86
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f1720]) ).

cnf(s384,plain,
    ( ~ spl0_15
    | ~ spl0_38
    | spl0_70
    | spl0_72 ),
    inference(sat_conversion,[],[f1758]) ).

cnf(s391,plain,
    ( ~ spl0_21
    | ~ spl0_28
    | spl0_92
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f1796]) ).

cnf(s406,plain,
    ( ~ spl0_8
    | ~ spl0_12
    | spl0_89
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f1834]) ).

cnf(s409,plain,
    ( ~ spl0_15
    | ~ spl0_35
    | spl0_78
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f1837]) ).

cnf(s413,plain,
    ( ~ spl0_15
    | ~ spl0_35
    | spl0_102
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f1848]) ).

cnf(s437,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_69
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f1924]) ).

cnf(s443,plain,
    ( ~ spl0_11
    | ~ spl0_23
    | ~ spl0_27
    | spl0_86
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f1983]) ).

cnf(s454,plain,
    ( ~ spl0_2
    | ~ spl0_10
    | ~ spl0_151
    | ~ spl0_152
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f2029]) ).

cnf(s463,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_23
    | spl0_90
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f2086]) ).

cnf(s466,plain,
    ( ~ spl0_2
    | ~ spl0_7
    | spl0_66
    | ~ spl0_114
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f2098]) ).

cnf(s473,plain,
    ( ~ spl0_16
    | spl0_94
    | spl0_95
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f2193]) ).

cnf(s474,plain,
    ( ~ spl0_11
    | spl0_63
    | spl0_64
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f2196]) ).

cnf(s475,plain,
    ( ~ spl0_10
    | ~ spl0_11
    | spl0_87
    | ~ spl0_126
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f2199]) ).

cnf(s476,plain,
    ( ~ spl0_10
    | ~ spl0_145
    | ~ spl0_146
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f2200]) ).

cnf(s480,plain,
    ( ~ spl0_1
    | spl0_87
    | ~ spl0_126
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f2223]) ).

cnf(s485,plain,
    ( ~ spl0_2
    | ~ spl0_11
    | spl0_78
    | spl0_79
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f2262]) ).

cnf(s487,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_19
    | spl0_80
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f2281]) ).

cnf(s489,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_19
    | spl0_96
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f2284]) ).

cnf(s528,plain,
    ( ~ spl0_12
    | ~ spl0_17
    | ~ spl0_151
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f2415]) ).

cnf(s530,plain,
    ( ~ spl0_7
    | spl0_90
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f2418]) ).

cnf(s532,plain,
    ( ~ spl0_21
    | ~ spl0_28
    | spl0_96
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f2426]) ).

cnf(s546,plain,
    ( ~ spl0_4
    | ~ spl0_12
    | ~ spl0_145
    | ~ spl0_146
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f2513]) ).

cnf(s548,plain,
    ( ~ spl0_4
    | ~ spl0_13
    | ~ spl0_148
    | ~ spl0_149
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f2530]) ).

cnf(s549,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | ~ spl0_151
    | ~ spl0_152
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f2545]) ).

cnf(s557,plain,
    ( ~ spl0_4
    | ~ spl0_33
    | ~ spl0_121
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f2557]) ).

cnf(s558,plain,
    ( ~ spl0_4
    | ~ spl0_33
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f2558]) ).

cnf(s568,plain,
    ( ~ spl0_4
    | ~ spl0_21
    | ~ spl0_33
    | spl0_92
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f2604]) ).

cnf(s571,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f2621]) ).

cnf(s572,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f2623]) ).

cnf(s607,plain,
    ( ~ spl0_4
    | ~ spl0_27
    | ~ spl0_124
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f2726]) ).

cnf(s609,plain,
    ( ~ spl0_14
    | ~ spl0_40
    | spl0_83
    | spl0_85 ),
    inference(sat_conversion,[],[f2747]) ).

cnf(s611,plain,
    ( ~ spl0_5
    | spl0_67
    | spl0_68
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f2772]) ).

cnf(s622,plain,
    ( ~ spl0_13
    | ~ spl0_21
    | spl0_93
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f2808]) ).

cnf(s623,plain,
    ( ~ spl0_4
    | ~ spl0_13
    | ~ spl0_21
    | ~ spl0_135
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f2810]) ).

cnf(s629,plain,
    ( ~ spl0_6
    | ~ spl0_19
    | ~ spl0_135
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f2832]) ).

cnf(s643,plain,
    ( ~ spl0_8
    | spl0_100
    | spl0_101
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f2864]) ).

cnf(s656,plain,
    ( ~ spl0_6
    | ~ spl0_148
    | ~ spl0_149
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f2920]) ).

cnf(s668,plain,
    ( ~ spl0_20
    | spl0_76
    | spl0_77
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f3035]) ).

cnf(s669,plain,
    ( ~ spl0_4
    | ~ spl0_20
    | spl0_96
    | ~ spl0_135
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f3037]) ).

cnf(s670,plain,
    spl0_3,
    inference(rat,[],[s172,s177,s189,s201]) ).

cnf(s671,plain,
    ( ~ spl0_36
    | ~ spl0_6 ),
    inference(rat,[],[s656,s159,s160,s161]) ).

cnf(s672,plain,
    ( spl0_21
    | spl0_11
    | spl0_36
    | ~ spl0_4 ),
    inference(rat,[],[s558,s128,s129,s23,s33,s670]) ).

cnf(s673,plain,
    ( ~ spl0_39
    | ~ spl0_10 ),
    inference(rat,[],[s476,s156,s157,s158]) ).

cnf(s674,plain,
    ( ~ spl0_48
    | spl0_36
    | spl0_5
    | spl0_8
    | ~ spl0_4 ),
    inference(rat,[],[s348,s23,s163,s164,s623,s29,s10,s669,s108,s146,s147,s670]) ).

cnf(s675,plain,
    ( ~ spl0_26
    | ~ spl0_20 ),
    inference(rat,[],[s668,s88,s89,s130]) ).

cnf(s676,plain,
    ( ~ spl0_135
    | spl0_96
    | ~ spl0_19
    | ~ spl0_20
    | spl0_5 ),
    inference(rat,[],[s8,s294,s363,s670]) ).

cnf(s677,plain,
    ( ~ spl0_34
    | ~ spl0_27
    | ~ spl0_4 ),
    inference(rat,[],[s607,s135,s136]) ).

cnf(s678,plain,
    ( ~ spl0_21
    | ~ spl0_57
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s609,s95,s97,s28,s46,s677,s17,s675,s6,s10,s391,s568,s622,s643,s112,s113,s151,s62,s144,s105,s104,s670]) ).

cnf(s679,plain,
    ( ~ spl0_41
    | ~ spl0_33
    | ~ spl0_4 ),
    inference(rat,[],[s348,s163,s164]) ).

cnf(s680,plain,
    ( spl0_5
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s73,s351,s675,s29,s679,s23,s678,s104,s105,s65,s674,s671,s2,s643,s112,s113,s151,s62,s670]) ).

cnf(s681,plain,
    ( ~ spl0_21
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s10,s623,s669,s108,s146,s147,s65,s678,s643,s112,s113,s151,s62,s670]) ).

cnf(s682,plain,
    ( ~ spl0_39
    | ~ spl0_12
    | ~ spl0_4 ),
    inference(rat,[],[s546,s156,s157,s158]) ).

cnf(s683,plain,
    ( ~ spl0_20
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s669,s108,s146,s147,s44,s682,s5,s671,s672,s474,s75,s76,s122,s56,s675,s254,s99,s13,s137,s31,s681,s643,s112,s113,s151,s62,s670]) ).

cnf(s684,plain,
    ( ~ spl0_46
    | ~ spl0_5 ),
    inference(rat,[],[s611,s79,s80,s127]) ).

cnf(s685,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s548,s159,s160,s161,s68,s684,s10,s683,s681,s680,s643,s112,s113,s151,s1,s62,s670]) ).

cnf(s686,plain,
    ( ~ spl0_41
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s549,s162,s163,s164]) ).

cnf(s687,plain,
    ( ~ spl0_57
    | ~ spl0_38
    | ~ spl0_20 ),
    inference(rat,[],[s351,s104,s105]) ).

cnf(s688,plain,
    ( ~ spl0_20
    | ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s669,s108,s146,s147,s65,s687,s73,s643,s112,s113,s151,s55,s675,s686,s685,s670]) ).

cnf(s689,plain,
    ( ~ spl0_57
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(rat,[],[s622,s105,s144]) ).

cnf(s690,plain,
    ( spl0_8
    | spl0_20
    | ~ spl0_4
    | ~ spl0_21 ),
    inference(rat,[],[s623,s146,s147,s65,s689,s10,s670]) ).

cnf(s691,plain,
    ( ~ spl0_51
    | ~ spl0_8 ),
    inference(rat,[],[s643,s112,s113,s151]) ).

cnf(s692,plain,
    ( ~ spl0_45
    | ~ spl0_5
    | ~ spl0_2 ),
    inference(rat,[],[s231,s77,s124]) ).

cnf(s695,plain,
    ( ~ spl0_37
    | ~ spl0_35
    | ~ spl0_15 ),
    inference(rat,[],[s409,s90,s131]) ).

cnf(s696,plain,
    ( ~ spl0_35
    | ~ spl0_15
    | spl0_1 ),
    inference(rat,[],[s413,s114,s152,s54,s695,s670]) ).

cnf(s698,plain,
    ( ~ spl0_37
    | ~ spl0_11
    | ~ spl0_2 ),
    inference(rat,[],[s485,s90,s91,s131]) ).

cnf(s699,plain,
    ( ~ spl0_32
    | ~ spl0_33
    | ~ spl0_4 ),
    inference(rat,[],[s557,s132,s133]) ).

cnf(s700,plain,
    ( ~ spl0_4
    | ~ spl0_21
    | spl0_1 ),
    inference(rat,[],[s682,s37,s5,s327,s698,s90,s91,s131,s39,s699,s215,s125,s126,s74,s34,s692,s350,s88,s89,s55,s691,s690,s29,s688,s686,s685,s670]) ).

cnf(s701,plain,
    ( ~ spl0_41
    | ~ spl0_6
    | ~ spl0_2 ),
    inference(rat,[],[s224,s162,s163]) ).

cnf(s703,plain,
    ( ~ spl0_49
    | ~ spl0_7
    | ~ spl0_2 ),
    inference(rat,[],[s466,s78,s125,s126]) ).

cnf(s704,plain,
    ( ~ spl0_5
    | spl0_18
    | ~ spl0_2 ),
    inference(rat,[],[s51,s692,s684,s670]) ).

cnf(s705,plain,
    ( ~ spl0_37
    | ~ spl0_15
    | ~ spl0_7 ),
    inference(rat,[],[s326,s91,s131]) ).

cnf(s706,plain,
    ( spl0_38
    | spl0_37
    | spl0_26
    | ~ spl0_2 ),
    inference(rat,[],[s454,s162,s163,s164,s24,s73,s670]) ).

cnf(s707,plain,
    ( ~ spl0_20
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s295,s117,s118,s48,s687,s706,s705,s9,s676,s704,s294,s108,s146,s40,s703,s3,s691,s55,s675,s685,s670]) ).

cnf(s708,plain,
    ( ~ spl0_37
    | spl0_6
    | ~ spl0_151
    | ~ spl0_153
    | spl0_5
    | spl0_96
    | ~ spl0_135
    | ~ spl0_7
    | ~ spl0_2 ),
    inference(rat,[],[s7,s363,s528,s9,s5,s705,s698,s670]) ).

cnf(s709,plain,
    ( spl0_15
    | spl0_10
    | spl0_6
    | ~ spl0_151
    | ~ spl0_153
    | spl0_5
    | ~ spl0_48 ),
    inference(rat,[],[s474,s75,s76,s122,s36,s240,s5,s86,s87,s528,s18,s7,s363,s9,s146,s108,s670]) ).

cnf(s710,plain,
    ( spl0_26
    | ~ spl0_34
    | spl0_28 ),
    inference(rat,[],[s270,s25,s17,s135,s98,s670]) ).

cnf(s711,plain,
    ( spl0_5
    | spl0_8
    | ~ spl0_21
    | spl0_1 ),
    inference(rat,[],[s216,s76,s122,s36,s206,s89,s710,s22,s696,s709,s454,s701,s162,s163,s164,s29,s685,s3,s532,s108,s147,s65,s689,s10,s707,s700,s670]) ).

cnf(s712,plain,
    ( spl0_26
    | spl0_87
    | ~ spl0_126
    | spl0_28 ),
    inference(rat,[],[s254,s25,s17,s670]) ).

cnf(s713,plain,
    ( spl0_8
    | ~ spl0_21
    | spl0_1 ),
    inference(rat,[],[s350,s88,s89,s712,s99,s137,s49,s74,s489,s692,s711,s532,s108,s147,s65,s703,s689,s3,s10,s685,s707,s700,s670]) ).

cnf(s714,plain,
    ( spl0_15
    | spl0_17
    | spl0_5
    | ~ spl0_26 ),
    inference(rat,[],[s211,s7,s9,s130,s88,s670]) ).

cnf(s715,plain,
    ( spl0_5
    | ~ spl0_21
    | spl0_1 ),
    inference(rat,[],[s374,s98,s136,s22,s696,s714,s528,s5,s474,s75,s76,s122,s701,s162,s164,s36,s29,s685,s707,s700,s350,s88,s89,s55,s691,s713,s670]) ).

cnf(s716,plain,
    ( spl0_16
    | ~ spl0_25
    | spl0_10
    | spl0_1 ),
    inference(rat,[],[s263,s86,s87,s18,s12,s670]) ).

cnf(s717,plain,
    ( ~ spl0_58
    | ~ spl0_16 ),
    inference(rat,[],[s473,s106,s107,s145]) ).

cnf(s718,plain,
    ( spl0_15
    | ~ spl0_21
    | spl0_1 ),
    inference(rat,[],[s474,s75,s76,s122,s59,s717,s716,s16,s487,s92,s132,s39,s698,s5,s406,s673,s101,s139,s37,s30,s707,s700,s703,s215,s125,s126,s74,s692,s715,s685,s350,s88,s89,s55,s691,s713,s670]) ).

cnf(s719,plain,
    ( ~ spl0_21
    | spl0_1 ),
    inference(rat,[],[s474,s75,s76,s122,s59,s717,s716,s16,s487,s92,s132,s39,s698,s475,s5,s374,s98,s136,s22,s696,s718,s99,s137,s138,s38,s215,s703,s125,s126,s74,s692,s684,s715,s350,s88,s89,s55,s691,s713,s707,s700,s685,s670]) ).

cnf(s720,plain,
    ( ~ spl0_20
    | spl0_1 ),
    inference(rat,[],[s707,s688]) ).

cnf(s722,plain,
    ( ~ spl0_47
    | ~ spl0_11 ),
    inference(rat,[],[s474,s75,s76,s122]) ).

cnf(s724,plain,
    ( spl0_7
    | ~ spl0_41
    | spl0_1 ),
    inference(rat,[],[s264,s106,s107,s59,s722,s5,s374,s3,s15,s136,s98,s32,s720,s719,s686,s701,s685,s670]) ).

cnf(s726,plain,
    ( ~ spl0_54
    | ~ spl0_38
    | ~ spl0_15 ),
    inference(rat,[],[s235,s116,s118]) ).

cnf(s727,plain,
    ( spl0_5
    | spl0_1 ),
    inference(rat,[],[s218,s102,s141,s63,s726,s24,s708,s709,s108,s146,s40,s703,s724,s454,s701,s686,s162,s163,s164,s29,s685,s720,s670]) ).

cnf(s730,plain,
    ( ~ spl0_11
    | ~ spl0_7
    | spl0_1 ),
    inference(rat,[],[s463,s102,s141,s57,s443,s685,s15,s135,s98,s32,s720,s719,s684,s727,s670]) ).

cnf(s731,plain,
    ( ~ spl0_44
    | spl0_1 ),
    inference(rat,[],[s437,s81,s128,s685,s727]) ).

cnf(s732,plain,
    spl0_1,
    inference(rat,[],[s548,s3,s10,s264,s106,s107,s59,s730,s722,s33,s731,s159,s160,s161,s68,s684,s727,s15,s720,s719,s670]) ).

cnf(s733,plain,
    ( ~ spl0_56
    | ~ spl0_15
    | ~ spl0_7 ),
    inference(rat,[],[s218,s102,s141]) ).

cnf(s734,plain,
    ( ~ spl0_15
    | ~ spl0_7
    | spl0_5
    | ~ spl0_2 ),
    inference(rat,[],[s454,s162,s163,s164,s29,s675,s706,s24,s726,s63,s733,s705,s670]) ).

cnf(s735,plain,
    ( ~ spl0_48
    | spl0_6
    | spl0_15
    | spl0_5
    | ~ spl0_2 ),
    inference(rat,[],[s709,s454,s162,s163,s164,s29,s676,s108,s146,s9,s670]) ).

cnf(s736,plain,
    ( ~ spl0_54
    | ~ spl0_38
    | ~ spl0_20 ),
    inference(rat,[],[s295,s117,s118]) ).

cnf(s737,plain,
    ( ~ spl0_56
    | ~ spl0_7 ),
    inference(rat,[],[s530,s102,s140,s141]) ).

cnf(s738,plain,
    ( ~ spl0_41
    | ~ spl0_7
    | spl0_5
    | ~ spl0_2 ),
    inference(rat,[],[s735,s40,s701,s686,s703,s734,s670]) ).

cnf(s739,plain,
    ( ~ spl0_7
    | spl0_5
    | ~ spl0_2 ),
    inference(rat,[],[s73,s736,s675,s29,s738,s63,s737,s670]) ).

cnf(s740,plain,
    ( spl0_47
    | ~ spl0_8
    | spl0_7
    | spl0_5 ),
    inference(rat,[],[s264,s106,s107,s36,s59,s670]) ).

cnf(s741,plain,
    ( ~ spl0_15
    | spl0_70
    | spl0_72
    | spl0_10 ),
    inference(rat,[],[s327,s90,s91,s131,s24,s384,s670]) ).

cnf(s742,plain,
    ( spl0_20
    | spl0_5
    | ~ spl0_2 ),
    inference(rat,[],[s406,s101,s139,s30,s741,s82,s84,s20,s528,s5,s722,s740,s3,s454,s701,s686,s162,s163,s164,s29,s739,s670]) ).

cnf(s743,plain,
    ~ spl0_43,
    inference(rat,[],[s480,s99,s137,s138,s732]) ).

cnf(s744,plain,
    ( spl0_5
    | ~ spl0_2 ),
    inference(rat,[],[s374,s98,s136,s169,s735,s741,s82,s84,s20,s528,s5,s722,s740,s3,s454,s701,s686,s162,s163,s164,s60,s675,s742,s739,s670,s743]) ).

cnf(s745,plain,
    ( ~ spl0_39
    | ~ spl0_6 ),
    inference(rat,[],[s572,s156,s157,s732]) ).

cnf(s746,plain,
    spl0_46,
    inference(rat,[],[s571,s140,s141,s172,s745,s38,s732,s743,s670]) ).

cnf(s750,plain,
    ~ spl0_5,
    inference(rat,[],[s684,s746]) ).

cnf(s751,plain,
    ~ spl0_2,
    inference(rat,[],[s744,s750]) ).

cnf(s752,plain,
    spl0_51,
    inference(rat,[],[s62,s670,s751]) ).

cnf(s753,plain,
    spl0_6,
    inference(rat,[],[s2,s750,s670,s751]) ).

cnf(s754,plain,
    ~ spl0_4,
    inference(rat,[],[s680,s750,s751]) ).

cnf(s758,plain,
    ~ spl0_8,
    inference(rat,[],[s691,s752]) ).

cnf(s760,plain,
    ~ spl0_39,
    inference(rat,[],[s745,s753]) ).

cnf(s761,plain,
    spl0_7,
    inference(rat,[],[s3,s754,s670,s758]) ).

cnf(s763,plain,
    spl0_48,
    inference(rat,[],[s44,s670,s751,s760]) ).

cnf(s764,plain,
    ~ spl0_56,
    inference(rat,[],[s737,s761]) ).

cnf(s766,plain,
    spl0_136,
    inference(rat,[],[s147,s763]) ).

cnf(s767,plain,
    spl0_135,
    inference(rat,[],[s146,s763]) ).

cnf(s770,plain,
    spl0_19,
    inference(rat,[],[s47,s743,s670,s764]) ).

cnf(s771,plain,
    $false,
    inference(rat,[],[s629,s770,s753,s766,s767]) ).

fof(f3038,plain,
    $false,
    inference(avatar_sat_refutation,[],[s771]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN499-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22  % Computer : n011.cluster.edu
% 0.09/0.22  % Model    : x86_64 x86_64
% 0.09/0.22  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.22  % Memory   : 8046.5625MB
% 0.09/0.22  % OS       : Linux 6.8.0-71-generic
% 0.09/0.22  % CPULimit : 300
% 0.09/0.22  % WCLimit  : 300
% 0.09/0.22  % DateTime : Mon Sep 28 16:17:16 UTC 2026
% 0.09/0.22  % CPUTime  : 
% 0.09/0.22  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.28  Running first-order theorem proving
% 0.09/0.28  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.08/1.11  % (3508802)Input is clausal, will run a generic CNF schedule.
% 2.08/1.11  % (3508815)lrs+10_1_sil=8000:sp=occurrence:random_seed=2868307549:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.08/1.11  % (3508815)First to succeed.
% 2.08/1.11  % (3508815)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3508802"
% 2.08/1.11  % (3508817)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4289836123:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.08/1.11  % (3508818)dis-21_1_sil=8000:lcm=predicate:random_seed=2607213890:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.08/1.11  % (3508813)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1438962633:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.08/1.11  % (3508812)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2501081485:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.08/1.11  % (3508816)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=858895836:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.08/1.11  % (3508814)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1176664840:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.08/1.11  % (3508818)Also succeeded, but the first one will report.
% 2.08/1.11  % (3508817)Also succeeded, but the first one will report.
% 2.08/1.11  % (3508816)Also succeeded, but the first one will report.
% 2.08/1.11  % (3508815)Refutation found. Thanks to Tanya!
% 2.08/1.11  % SZS status Unsatisfiable for theBenchmark
% 2.08/1.11  % SZS output start Proof for theBenchmark
% See solution above
% 0.26/1.30  % (3508815)------------------------------
% 0.26/1.30  % (3508815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.26/1.30  % (3508815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/1.30  % (3508815)CaDiCaL version: 2.1.3
% 0.26/1.30  % (3508815)Termination reason: Refutation
% 0.26/1.30  % (3508815)Time elapsed: 0.027 s
% 0.26/1.30  % (3508815)Peak memory usage: 90 MB
% 0.26/1.30  % (3508815)Instructions burned: 72 (million)
% 0.26/1.30  % (3508815)------------------------------
% 0.26/1.30  % (3508815)------------------------------
% 0.26/1.30  % (3508802)Success in time 0.283 s
% 0.26/1.30  % Vampire exiting
%------------------------------------------------------------------------------